diff --git "a/data/dm_maths/full_data_1/10908_11255.jsonl" "b/data/dm_maths/full_data_1/10908_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10908_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let g = 0 + 4. Suppose -2*h + g = 2*h. Is (-6)\/2 + h - -87 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3883871 + -1003871. Round c to the nearest 100000.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 78*t + 221295 - 218565 for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-9))\/((-12)\/36).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 357\/(-210)*(-12)\/(-51)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10183657?\nAnswer: 11, 487, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-78)*(-4)\/6*(360\/(-15))\/8?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012363 rounded to 5 dps?\nAnswer: -0.00124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 4 = -m, 4*n - 7 = -m - 28 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12084?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 287200998 to the nearest integer?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -4. Let l(x) = x - 12. Let s be l(17). Sort d, -2, s in ascending order.\nAnswer: -2, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = 23*m - 20*m. Suppose -5*q = -3*f + 61, 5*q = 2*f + 2*q - m. Calculate the remainder when 62 is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16038, -16049, -16074, -16119, -16190, -16293, -16434?\n\"Answer: -o**3 - o**2 - o - 16035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 713779\/12 less than or equal to 59483?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*q + 105 = 139*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 3:59 AM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, 3, 33, 51, -3\/2?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*d + 2*i - 190 = 0, -2*i - 3 + 2 = -d - i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 158222730 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 7 + 1 = 0. Suppose -m*i - 2818 = -3*t + 396, -5315 = -5*t - 5*i. Is (t\/48)\/(2\/8) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -352252 + -3?\nAnswer: -352255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 2*n)*(-301 - 106 + 50)*(0 - 3 - 8 + (1 - 2 + 0)*(-4 + 2 + 3)) in the form c*n + w and give c.\nAnswer: -8568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1365146 (base 7) to base 10\nAnswer: -184274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 1 = -2*q, -4*n + 107 = -q. Suppose -8*b = -9*b - z + n, 5*z = -4*b + 109. What is the remainder when 126 is divided by b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (7 - 470818\/36). Let p = 13068 + f. Find the common denominator of -119\/10 and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 257 - 255. Which is the nearest to 1? (a) v (b) 5 (c) 31 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -280*b + b**2 - 290*b + b**2 - 47*b**3 + 572*b - 3*b**3 + 4 to g + d*b + c*b**2 + y*b**3 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 899*r**5\/10 + 1417*r**4\/12 + 81*r**2 + 2*r + 10. What is the second derivative of a(g) wrt g?\nAnswer: 10788","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17093959121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 3. Which is smaller: i or -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19250, -38501, -57742, -76973, -96194, -115405?\nAnswer: -134606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -210 divided by 11\nAnswer: -210\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.29? (a) 27 (b) 0 (c) -31\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 6:01 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 6:03 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**2 - 3*k - 2. Let q be p(-3). Let v = -2 - q. Suppose 3*x + 8 = -2*a - 0, 5*x + v = -a. Solve n + 3 = a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(8\/7)\/(l*l*l**4*l))\/(l**1)**(1\/6)*(((l\/(l**2\/l*l))\/l)\/l*l)**(-6)\/(l**(-2\/11)\/(l\/((((l\/l**(-1\/18))\/l)\/l)\/l))) assuming l is positive.\nAnswer: l**(6308\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7180)\/72518*(10\/75)\/2?\nAnswer: -2\/303","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 - 111 = 194*a - 405. Solve -91*t - 6 = -90*t - f, a*t + 5*f - 14 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 4 - 10 + 2*u to the form z*u + y and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.71 + 0.52. Round b to 2 decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + k = 16. Is (-509)\/(-4) + (-2)\/k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -108 + 113. What is the closest to -0.3 in -4, t, -1, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22351171 to the power of 1\/2, to the nearest integer?\nAnswer: 4728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47934.\nAnswer: 2, 3, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of 5\/2016*y**8 - 105*y**2 - 1\/63*y**7 + 5\/144*y**6 + 0*y - 1\/36*y**5 + 0 + 0*y**4 + 0*y**3. Find t such that m(t) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/13 + 25136*s**2\/13 - 752730*s\/13 + 5642100\/13.\nAnswer: -2*(s - 12538)*(s - 15)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 982*j**3 - 529*j**2 - 4772*j**3 + 529*j**2.\nAnswer: -3790*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13149*l + 15744 = -13395*l for l.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 19, -3, 5, -1, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 512 a factor of 5200929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 71*a = 66*a - 4, 3*a = 4*g - 9. Let p(i) = 11*i - 25. Give p(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1*(-14)\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/1*26\/(-130).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-18))\/((-108)\/162)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/798 and 5880\/(-20064) - 7\/(-28)?\nAnswer: 8778","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -g**4\/3 - 9*g**3\/2 - 28*g**2. Let n(l) = 7*l + 28. Let i(v) = -2*n(v) - 3*p(v). What is the derivative of i(q) wrt q?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**6\/10 + r**4\/24 + 10*r**2. Find the second derivative of a(b) wrt b.\nAnswer: 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.55861 rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-3 - (-100)\/55).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -212, -775, -1698, -2987, -4648?\nAnswer: -6687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*y**3 + 1 - y**2 + 1\/2*y.\nAnswer: -(y - 1)*(y + 1)*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 - 40. Let i be (3\/(-2))\/(-3)*10. Suppose -i*x + 15 = 4*v - 13, -o*x = -v - 19. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -17*w**2 - 8*w. Let s be i(6). Does 23 divide ((-9)\/(-6) + -2)\/(5\/s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 12*r**2 + 27*r + 27. Let a(w) = 0*w + w**2 + 2 + 0*w**2 + 2*w. Suppose -78*p + 40*p + 198 = 61*p. Let g = 20 + -47. Determine g*a(f) + p*v(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06727 minus -47580?\nAnswer: 47579.93273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5131, -5129, -5129, -5131, -5135, -5141, -5149?\n\"Answer: -p**2 + 5*p - 5135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.11 - 0.05. What is the second biggest value in -1, 2\/9, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 343*f**2. Let l(w) = -126*w**2 + 4. Determine l(n(k)).\nAnswer: -14823774*k**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 55\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5247 = -5*h + 4*h, 5*h = -25. Suppose 11*l - 2636 = 8*l - u, 2*u = 3*l - x. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/5 - (-1)\/1. Let w = -47.2 + 43. Let y = w + 4.6. What is the third smallest value in y, 2\/13, x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1136 divide 144541232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1276*f**4 + 1514*f**4 - 2400*f**4 + 6*f**3 - 4*f**4 + 3*f**4 + 3*f**4 + (0*f**3 + f**3 - 2*f**3)*(-2 + f + 2).\nAnswer: 391*f**4 + 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 9. Let b(i) be the third derivative of 0*i**6 + 0 + 1\/6*i**3 + 0*i**5 - 1\/210*i**f + 0*i + 0*i**4 + 2*i**2. Differentiate b(k) with respect to k.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11608410 by -5.\nAnswer: -2321682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01472486 to 4 dps.\nAnswer: -0.0147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42276 and 18876.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399 is divided by 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1016768?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -632475 divided by -27?\nAnswer: 23425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -782, -751, -722, -695, -670, -647?\n\"Answer: -i**2 + 34*i - 815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 2*j + 8, -j = -w - 1. Let q be (-1 + w)*20\/(-15). Suppose -12 = -3*z, -3*z + 4*z - 12 = -q*u. Solve -a + u = -0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -2 + -3 + (-22 - -24) + 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*j - 12*j + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1444710434.\nAnswer: 2, 97, 7446961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/12*(180\/75 + (-14)\/35)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10029888?\nAnswer: 2, 3, 11, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 61, 91, 121, 151, 181?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 151\/4 (c) -1 (d) 0.3 (e) -6\/11 (f) 0 (g) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 673124, 1346243, 2019360, 2692475, 3365588, 4038699?\nAnswer: 4711808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*j - 0*j - 0*j. Which is smaller: 2\/77 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214402554.\nAnswer: 2, 3, 11911253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 25.33?\nAnswer: 202.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4245 + 34022. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 (base 14) in base 15?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2579611 - 9028638419\/3500. Calculate the common denominator of 59\/3150 and x.\nAnswer: 31500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 800757?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6660048 and 19224.\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*f - 13*f + 14*f + 4*f + 4*f - 373*f**2 to p*f**2 + r*f + s and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + sqrt(5))**2 + sqrt(5) + (-5 + sqrt(5)*-1 - sqrt(5))**2.\nAnswer: 33*sqrt(5) + 86","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2577399 is divided by 493.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 27*w**4 - 13629*w**3 + 1699428*w**2 + 378324*w = 0.\nAnswer: -2\/9, 0, 226, 279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/6 + 7\/3. Let g = -29 - -31. Suppose 2*a - x*r - 2*r - g = 0, -5*a + r = -23. Solve 0 = -2*p + a*v + 4 - 21, 2*p + v = 13 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 45. Let m = -8 + r. Suppose -m*w + 3*w = -128. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 150.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 6) in base 12?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/490 and -47\/294.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -9.84, 1\/2, 0.257, -4?\nAnswer: 0.257","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -7*z - 3*z + 13 - 13. Calculate x(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 33 - 341 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 3*b - 18 = 0. Let l(n) = -n**3 - 6*n**2 - 2. Let q be l(b). Is (-236)\/8*q - 0 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 8*f**2 + f - 3. What is the remainder when x(1) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/18)\/(((t**(-48)\/t)\/t)\/t))\/((t\/(t\/(t*t**(-28)*t)))\/((t\/t**(8\/5))\/t*t)) assuming t is positive.\nAnswer: t**(6881\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 439*c + 11070. Calculate m(-25).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-2) - 14*-3. Let k = r - 93. Let o = k + 81. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d + 5. Let u be n(0). Suppose 3*w + 3 + 6 = -2*i, -i - u*w - 22 = 0. Suppose -3*x = 4*b - 39, -11 - 66 = -4*x + i*b. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + z + 3*z)*(-4*z + z - 2*z) - 2*z**2 + 4 - 4.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1704\/(-355))\/((-18)\/30)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 1:26 PM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 3*z - 2*z)*((0*z + 2*z + 7*z)*(8 + 6 - 23)*(1 + 4 - 3) - 2*z + 3*z - 2*z).\nAnswer: -326*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 15 = 5*z, 0*f - 5 = f. Suppose -4*l + 2*l - 5 = r, -z*l = -3*r + 9. Let d = 0 + r. Let x(j) = -1. Let c(v) = v**3 + 2. What is d*c(o) + 2*x(o)?\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -414.7 - -418.7. Suppose -4*l - 17 - 32 = 5*j, -l + 4*j - 28 = 0. Let h = l + 142\/9. Which is the third smallest value? (a) 5 (b) h (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rro when three letters picked without replacement from brarbbaorr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 182?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2. Let i(m) = 3*m**2 + 4 - 3*m + 3*m - 2*m. Let n(k) = -5*d(k) - i(k). Is n(-3) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -220*t + 69*t**3 + 65*t**3 + 94*t**3 - 230*t**3 - 1805*t**4 wrt t.\nAnswer: -21660*t**2 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44816 + 32008. Which is bigger: w or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 + -1. Suppose 2*z - z = -5*f + n, f + 5*z + 2 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1477*z**2 + 3082*z**2 - 2898*z**2)*(1 + 1 - 1) to the form w + a*z**2 + j*z and give a.\nAnswer: -1293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 9:51 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(136)*-3)\/(sqrt(24)\/(sqrt(12)\/sqrt(4))))**2 - ((-1*sqrt(187)\/sqrt(11))**2 + (sqrt(136)*2 + sqrt(136))\/sqrt(8)).\nAnswer: -3*sqrt(17) + 595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vdsd when four letters picked without replacement from nvddvvdvndsnnnn?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 0. Suppose 5*f = -4 - 6. Let a be (f - -1) + (10 - y). Solve c + 4*c - 5 = 5*v, -5*c - 13 = a*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + d = -3*m - 100, 4*d = 5*m - 176. Calculate the smallest common multiple of 128 and m.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -8, 2\/7, 3, 15, -0.5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1761277 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, u: 1, h: 3, b: 4}. Give prob of sequence bi.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 1446 and 1.5925.\nAnswer: 1447.5925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132 - -58 - 138 - ((-14 - 2) + 0)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 195 in increasing order.\nAnswer: 0, 1, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 193.822 rounded to 0 decimal places?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/6)\/(3\/18). Let v = 4 + r. Factor -n**3 - 2*n**4 + 4*n**v + n**4 + 2*n**4 + n**5 - 5*n**2.\nAnswer: n**2*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-40)*10\/(-12).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j - 1 + 1. Suppose -4 + 2 = -2*k. Let a be v(k). Sort a, 1, 0 in increasing order.\nAnswer: a, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p + 2 - 2)*(4 - 1 - 5) - 39*p - 10*p - 19*p to the form d*p + h and give d.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 230301 + -4?\nAnswer: 230297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -180.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 110 + 98. 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: What is the common denominator of -9\/14 and -79\/5358?\nAnswer: 37506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 42\/11, -10 in decreasing order.\nAnswer: 42\/11, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -27 + 10933\/406 - 41\/14. Let x be 5\/(-3) - (-1)\/(-3). Which is the smallest value? (a) x (b) o (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k. Suppose h + h = 0. Let o be f(h). Suppose o = -5*y - 3*z + 20, -3*y - z = -12 + 4. Are y and -1\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.8 (b) 1 (c) 976 (d) -4 (e) -13\/2 (f) -0.4 (g) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 20 - 5)*(2*j - j + 0*j).\nAnswer: 21*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0070551 rounded to four dps?\nAnswer: 0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -h**4\/8 + 95*h**3\/2 - 27075*h**2\/4 + 857375*h\/2 + 382. Factor y(i).\nAnswer: -(i - 95)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144202363 to the power of 1\/2, to the nearest integer?\nAnswer: 12008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**4 + 40*a**3 - 45*a**2.\nAnswer: 5*a**2*(a - 1)*(a + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310 = -3*a + t, -4*t = -4*a + 87 + 313. What is the least common multiple of a and 1050?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 485061 and -1.22.\nAnswer: 485059.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -673, -72, -5.\nAnswer: -673, -72, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3*w - 43 = 0, 0 = -2*w + w - 1. Let s(q) be the second derivative of q**5\/20 + 7*q**4\/12 - 13*q**3\/6 - 9*q**2\/2 - 34253*q + 2. Determine s(f).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -1\/69, -0.4, 3?\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i - 1. Let y(f) = f + 10. Let x be y(-9). Let h be x\/(-7) - 204\/42. Let w(d) = d. Calculate h*w(j) - r(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 798581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 1 - 66*x**2 + 4 + 55*x**2.\nAnswer: -11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244 = 12*n - 208 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/((30\/(-6))\/45).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 737652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -100, 74, 1 in decreasing order.\nAnswer: 74, 4, 1, 0, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9788, -9934, -10170, -10496, -10912?\n\"Answer: -45*i**2 - 11*i - 9732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 11 - (5 - 6) - 7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 16. Let m = b - 5. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/3*k**4 + 8\/3 - 6*k**2 + 2\/3*k**3 - 8\/3*k = 0. Calculate k.\nAnswer: -2, -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 1:37 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (906\/3624)\/((-302)\/888 + (-1)\/(-3)). Suppose 8*p - 5*x + 4 = 5*p, -3*p + 4 = -x. Let d be ((-37)\/(-3))\/(p\/(-6)). Are d and l non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 85127 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 354 - 358. Sort 727, 5, z, 4 in descending order.\nAnswer: 727, 5, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 20, -4*m = -2*h + 10 + 10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 32*x. Let d(j) = 6012*j + 2. What is d(b) + 5*l(b)?\nAnswer: 6172*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.08 + -0.88. Let k = l + -1.2. Which is the third smallest value? (a) 2\/13 (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**2 - 5*s**2 + s**2. Let w(o) = -7*o**2. Determine w(t(n)).\nAnswer: -7*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -47481235*q**2*v + 156995862*v wrt q?\nAnswer: -94962470*q*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 4*n + 2. Let r be s(8). Suppose d + 19 = 3*i, -r = 4*d + i + i. What is the units digit of d\/20 - (-13)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -5) + 12 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - 34) + (-42 - 2) + 20.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(8) - (sqrt(72) - 3*sqrt(72)) - sqrt(8)) + 3*(-1*sqrt(5) + sqrt(5))*3)**2.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*s + 2 = -22*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*f - 6*f - 32 = 0, -5*u - 2*f + 19 = 0. Differentiate 5*i + u*i**2 - i**2 - 5*i - 9 wrt i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 8 + (76 - 98) - -38?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 675?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (9 + (-11 + 6 - -2))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1296947, 15, 0 in increasing order.\nAnswer: -1296947, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t**2 - t + 1. Let f = -15 + 13. Calculate j(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ofoooffopfo. Give prob of sequence opf.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 + -3. Let n = 67 + i. Let a = 24 - 13. Calculate the remainder when n is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/1552155?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*h - 4 = 0, 3*h = 2*m - 1 - 11. Suppose y - 2*y = m. Let t = 67 + -70. Do y and t have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20292, -20291, -20290, -20289, -20288, -20287?\nAnswer: -20286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -83*t + 66. Give n(2).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 327*x = -31*x + 137198 - 6886. Calculate the greatest common divisor of 1560 and x.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -80 <= -65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.1, 141\/5.\nAnswer: -2, 0.1, 141\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + x + 2. Suppose -3*y = 4*r - 27, 3*y + 3*r = -0*r + 24. Suppose 0 = -y*o + a - 1 + 3, -o = 5*a + 10. Determine c(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-572)\/(-14))\/((-8196)\/(-28686)).\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1900)*6*3)**2 - (-5 + (-2*sqrt(1900)*5 - sqrt(1900))**2).\nAnswer: 385705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 20313002120 (base 4) to base 2\nAnswer: 1000110111000010011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u**2\/2 - 14997*u\/2 - 87438 = 0. Calculate u.\nAnswer: -988, -59\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*n + 33 = -n, 3*n + 27 = 3*b. Suppose 4*x + 3 + 13 = 0, -24 = -b*g + 5*x. What is the closest to -0.5 in g, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*q - 35*q = 15*q. Let c = -108\/5 - -1806\/85. Which is greater: q or c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001010001 + 100111100101011011111?\nAnswer: 100111100110100110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.013 and 236239.\nAnswer: -3071.107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 432.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -13. Suppose 2*k - 9 - 4 = 3*j, 5*k - 1 = -3*j. Calculate the highest common factor of k and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178904\/(-678808) - 2*2\/(-122).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*r + 591 - 283 = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**3 + 27*n**2 + 19*n + 141. What is y(14)?\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 10, z: 10}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-612)\/6*20*15\/2250*-5.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -11*x**3 + 2*x**2 - 2*x + 2. Let u(s) = -34*s**3 + 7*s**2 - 7*s + 7. Let o be (1 - -4) + (752 - 15). Let y = o + -740. What is y*u(c) - 7*i(c)?\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 38*q - 695. Let k be z(18). Let s(n) = -52*n - 59. Let b(t) = -35*t - 39. Let x(v) = 8*b(v) - 5*s(v). Let j(d) = -7*d - 6. Determine k*j(r) + 4*x(r).\nAnswer: -3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 7*q**2 - 26*q + 14. Let h(m) = 2*m**2 - 9*m + 5. Give 17*h(o) - 6*t(o).\nAnswer: -8*o**2 + 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51837.\nAnswer: 3, 37, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = 8*p + 11 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3 - 3 + 2*o**2. Let a(l) = -13*l. Determine a(z(d)).\nAnswer: -26*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1215 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*y = -4*v + 4883, -5*y + 2447 = 2*v. Let d = 6161\/5 - v. Calculate the common denominator of (1\/(-6))\/(3\/(-420)) and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*h - 8 = 198*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.3 (b) -35 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 6*i + 4. Let x be b(8). Let r(k) = -k**3 - 4*k**2 - 11*k - 75. What are the prime factors of r(x)?\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 2*j**2 - 2*j + 1. Let s be f(3). Solve -30 = -s*u + 5*l, 0*u - u = 2*l - 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4711058279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1450 is divided by 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7814756 and 0.3.\nAnswer: -7814755.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -353*d**3 - 155*d**3 + 4 - 379*d**3 + 204*d**3.\nAnswer: -683*d**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3*sqrt(40)\/sqrt(4) + sqrt(40)*-2)\/(-1*sqrt(50)*5) + -3)**2*-4.\nAnswer: -504\/125 + 8*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-9))\/(93\/(-837)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = z + 8, -256 = -4*t + 2*z - 142 - 138 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6*d = 0. Suppose -q - 2*q + 42 = d. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 8*p**2 + p - 4. Let i = -11 + 14. Suppose -7 = -l + t - 2*t, -2*t = i*l - 22. Let m be w(l). What is the highest common divisor of m and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 5, -52 in ascending order.\nAnswer: -52, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.04 (b) -3 (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 9:40 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35770 and 122990?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 + 2692338*z**2 - 684681*z**2 - 37.\nAnswer: 2007657*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - (-4 + 0 - -5). Let p be -36*(-3)\/24*h. Let q = -13 - p. Solve -q*r + 1 = -2*y, -4*r = -r - 2*y + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y + 177*y**2 + 4*y + 178*y**2.\nAnswer: 355*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hva when three letters picked without replacement from vaaravvahhrasxrshs?\nAnswer: 5\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - 21. Let r = -41 - -31. Let o = r + 20. Calculate the greatest common factor of g and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + m - 1. Let p(r) = -8*r**3 + 5*r**2 - 6*r + 4. Let s(h) = -p(h) - 6*z(h). Is 13 a factor of s(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6386587 divided by 9.\nAnswer: -6386587\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a kilometer in meters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/72 and 50\/207.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**4 + 0 + 0 + 9*d**3 + 9*d**4 - 9*d**3 + (0 + 0 + 2)*(-3*d + 2*d**4 + 3*d) to the form l*d + r*d**4 + k*d**3 + u + q*d**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, d: 2, p: 1}. Give prob of picking 1 p, 1 d, and 1 l.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/9 + 61334*i\/3 - 2266620.\nAnswer: -2*(i - 91890)*(i - 111)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 6*p + 1. Let n be v(-7). Suppose n = 4*r - 0*r. Which is the third smallest value? (a) r (b) 1\/9 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*g**3 + 47*g**2 - 47*g**2 - 22*g**3 - 10*g + 14*g.\nAnswer: 123*g**3 + 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 29 (b) -4\/7 (c) 0.3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-6)*(3 - (-30)\/(-4)). Let d be (-2 - -10)*2 - (g + 8). Solve d = 3*j - 4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w = 16*w - 462. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13660269?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 * 0.153.\nAnswer: -0.01377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*b + 767327 = 788648 for b.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109, -98, -585, -1352?\nAnswer: -2399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16587456 is divided by 314?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + 20\/(-480)*680?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + g = 62, r - 2*g = -6*g + 23. Let j = r - 10. Let w(x) = -j*x + 3*x + x - 1 + 7. What is w(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/((-4)\/20*(-2500)\/(-2700)).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46a122 (base 16) in base 15?\nAnswer: 61674a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 993.4912 micrograms in tonnes?\nAnswer: 0.0000000009934912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*x + 22. Let v(t) = -10*t + 0 - x - t - 2*t. Does 10 divide v(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2\/6 - 266450*p - 3197520.\nAnswer: 5*(p - 319752)*(p + 12)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.14 or -33122?\nAnswer: -33122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 - 51.\nAnswer: -50.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 275*x**2 + 281*x**2 - 2*x**3 - 553*x**2 + 2 - 9*x to the form f*x**3 + w + p*x + m*x**2 and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, u: 5, a: 1, f: 4, s: 1, h: 1}. What is prob of picking 2 a and 1 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -539*s**2 - 25*s**2 + 62*s**2.\nAnswer: -502*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*sqrt(77))\/sqrt(7) - sqrt(33)\/(sqrt(3) + sqrt(18)\/sqrt(6)*-4).\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 327, 1\/3, -0.046 in increasing order.\nAnswer: -1\/7, -0.046, 1\/3, 327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a. Let g(z) = 11*z + z**2 + z**2 - z. Suppose -10 + 9 = n. What is n*g(s) - 10*y(s)?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 227314 (base 11) to base 13\nAnswer: c8474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441071145?\nAnswer: 3, 5, 9801581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4860555 and 539?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2. Let q = -3 + 7. Let f(y) = y - q*y + y. Determine f(z(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19920\/7 + -2846. Which is the closest to 0.03? (a) -0.1 (b) -31 (c) l (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -630225*h**3 - 5*h**2 - 257*h - 146?\nAnswer: -3781350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5454411*u**3 - 7*u**2 + 88500009*u wrt u?\nAnswer: -32726466*u - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 206926, 413859, 620792, 827725, 1034658, 1241591?\nAnswer: 1448524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**2 + p + 1. What is m(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/455092 and 115\/682638.\nAnswer: 1365276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3099 - 3039. What is the remainder when 643 is divided by m?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6560636 to the power of 1\/3, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 4:46 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 4*a + 3. Let x be s(-4). Let l(t) = -2*t**2 + 130*t - 372. Let y be l(3). Solve 15 = n - y*m + x*m, 2*n - 18 = -3*m for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.12 + 0.22. Let y = -23 + 117\/5. Sort n, -2\/11, y, -3 in decreasing order.\nAnswer: y, n, -2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 2*f - 0*f - j, 2 = 2*j for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 115*u - 134*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 1)\/(72\/18). Let p(x) be the second derivative of -g*x**2 - 1\/24*x**3 + 7*x + 0 + 1\/48*x**4. Factor p(m).\nAnswer: (m - 2)*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**3 + 845*l**4 - 12 + 2*l - 847*l**4 + 6*l**2 + 8*l**2 = 0.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1079834.89 rounded to the nearest 10000?\nAnswer: -1080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 52782.9?\nAnswer: -21113.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) - (-4*(sqrt(275) + 0))**2) + 2.\nAnswer: -4398 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 - 140*b**2 - 308*b + 444.\nAnswer: 4*(b - 37)*(b - 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 89149 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 0*w = 6*w + 5*m - 57, -3*w + 4*w = 4*w - 786*m + 7065 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-572)\/12*(-27)\/9 is divided by 60.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6465 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -282 - 13*f**2 + 282 + 40*f to the form m + o*f + t*f**2 and give o.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 11*l**2 - 10 + 26*l**2 + 0 - 3*l to the form u*l + d + p*l**2 and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 5*x - 2*x + 12, 5*x = -5*z - 30 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 1. Let t(j) = -j**s + j - 2*j + 3*j**2 - j**2 + j**3. What is t(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 134, -1, 0, -8.\nAnswer: -8, -2, -1, 0, 1, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -3*a, -4*a + 3*c + 8 = 15 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 264\/((-1)\/(-2) - -1). Let s = w - 106. Calculate the least common multiple of 30\/(-7)*s\/(-15) and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s**2*z**3 - 33*s**2*z**2 - 13*s**2*z + 2*s**2 + 2*z**3 - 4*z wrt z.\nAnswer: 12*s**2*z - 66*s**2 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3*sqrt(5)*-2 - (sqrt(20) + 3)))**2 - ((5*1*sqrt(125) - sqrt(125)*-1*6)*1)**2.\nAnswer: -14324 - 216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9036 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*c - o - 39, -3*c - 40 = 4*o. Let p = 46 + -31. Let x = c + p. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 o when two letters picked without replacement from ohdhaadvhvhhdadaaaah.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/18 (b) -3 (c) 191 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*b - 18, 5*b = -28*g + 27*g + 18. Solve 1 = -j - g*h + 8, 2*j + 5*h - 12 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 438847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 76276348 to the power of 1\/2, to the nearest integer?\nAnswer: 8734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ade6 (base 16) to base 5\nAnswer: 2411033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/2)\/1*(-93)\/31.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 895*z**2 - 38*z - 75. What is the thousands digit of t(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 192428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17915 is divided by 1798.\nAnswer: 1733","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 111511530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 82104648 a multiple of 548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 181072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 0*u = 0. Let k = -5 - 0. Put k, -4, u in decreasing order.\nAnswer: u, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + 49793461.\nAnswer: 49793487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1466833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 3*t**2 + 5*t - 3. Let k be y(4). Find the common denominator of (61\/20 - -2) + k and 77\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 918 and 80928?\nAnswer: 4127328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d + 0 - 17*d**2 - 3*d**3 + 20*d**2 - 3.\nAnswer: -3*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*d + 40*d - 20*d + 280 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14182, -14183, -14184, -14185, -14186, -14187?\n\"Answer: -o - 14181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 4) to base 14.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15\/1477 - -3865\/138838. Calculate the common denominator of -69\/1034 and g.\nAnswer: 7238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 6 = 0, -b = -v - 2 - 2. Let d be 4\/(b*-4)*1 + 6. Solve 2*a + 1 - d = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 35*t**3 - 50*t**2 + 424*t + 19. Is r(18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p - 3. Let z(j) = -10*j + 9. What is 7*s(q) + 2*z(q)?\nAnswer: q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 7:40 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**2 + 32701320*d + 53468816487120 = 0. What is d?\nAnswer: -3270132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2272322048 a multiple of 1989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -4*i + 26 - 84, -2*a + 72 = -4*i. Let d be -28*(27\/(-12))\/3. Let u = d - i. List the prime factors of u.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {d: 2, a: 7, l: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - 0.3. Which is the closest to 2\/5? (a) 0.3 (b) -2\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 7 - 20245*q - 11 + 12795*q.\nAnswer: -7450*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t + 3. Let a(p) = p**2 - 2*p + 2. Suppose 514 - 394 = 40*u. Calculate u*a(j) - 2*n(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 267*p - 312 - 3426 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 704*t**2 - 3459*t - 232. Determine f(5).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 589 and 279?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1\/17)*b*b)\/(b\/b**(-7\/6)))\/((b\/(b*b\/(b*b**1)))\/((b*b*(b*b*b*b**(-9\/5)*b)\/b)\/b)) assuming b is positive.\nAnswer: b**(1007\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -76\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*6*3*-2*sqrt(160))\/(-6*((sqrt(96)\/sqrt(3))\/sqrt(4) + 2*sqrt(968))).\nAnswer: -12*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((-1 + sqrt(396))*1 - -2*(sqrt(396)*-2 - sqrt(396))) - (4 + 4*sqrt(396)*2*5))**2.\nAnswer: 158400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -8*c - 161. Determine l(-21).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h - 21 - 51 = 0. Solve -h*p + 21 = -s, 0 = -5*s - 3*p - 18 + 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.085 - -22380.86\nAnswer: 22379.775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34395*o**3 + 4*o - 4*o + 9243*o**2 - 9243*o**2.\nAnswer: -34395*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12262 - -12270. Solve 4*r = -4*t - c, 0 = 2*t + r - 20 + 23 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -101 or -102?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/17*(-1989)\/234?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1203)\/(-21) - (-3 - 92\/(-28)). Suppose 103 = a - y. Let t = -122 - -163. What is the remainder when a is divided by t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*4*sqrt(6)\/sqrt(2) - -6*sqrt(15)\/(sqrt(80)*3 - sqrt(5)).\nAnswer: -3 + 138*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v + 1. Suppose -4 = t - 1. Let i = t - -14. Suppose 10*h + i + 29 = 0. Determine r(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 768 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10684 + 139688\/13. What is the closest to -0.1 in v, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/264 and 83\/74?\nAnswer: 9768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8454671.937383098 + -8454672. Let i = s - 11.937388798. Let v = -12 - i. Round v to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16736*h**4 - 14*h**3 - 9078*h wrt h?\nAnswer: -200832*h**2 - 84*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -6*w. Let q(c) = -c. Let n be 70\/315 - (-168)\/(-27). What is n*q(x) + 2*a(x)?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 0.024418540888.\nAnswer: -21.975581459112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 97077 by -3.\nAnswer: -32359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3381*c**2 - 5228*c + 5228*c as a*c**2 + h*c + r and give a.\nAnswer: -3381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + 1.5. Let l = t + -2.1. Which is the closest to 0? (a) -1\/4 (b) l (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)*4*5)\/((sqrt(264)\/sqrt(8))\/sqrt(11) + sqrt(3) - sqrt(3)).\nAnswer: 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 95 = -5*k, -3*q + 5 - 81 = 4*k. Let f = k - -21. Let y(m) = -2*m + f*m + 0*m - m**2. Let p(v) = 2*v**2. What is p(y(u))?\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-1)*2\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vo when two letters picked without replacement from {v: 1, o: 1, r: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 121166065?\nAnswer: 121166064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3373381245?\nAnswer: 3, 5, 13, 1493, 11587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 16*b = -51 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2512884 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 8 = -94. What are the prime factors of a?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49219\/8 - -17964713\/2920. What is the common denominator of j and 47\/35?\nAnswer: 10220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*y - 9*y - 43988. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 1571*m + 147672. Give d(-94).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 4. Let n be 1\/2 - (-35)\/14. Let c be 3\/(n\/((-15)\/(-5))). Solve 3*h - f*h - c = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -10. Let d(p) = -p**2 + 3*p + 2. Let t be d(r). Which is greater: t or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**3 - 105 - 75 + 2*k**3 - 108.\nAnswer: -2*k**3 - 288","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 + 62*r - 5. Calculate p(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 13*l + 1396741 = 1396722, 0 = 4*o - 5*l + 37 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 621428*w + 4 - 4 - 624843*w.\nAnswer: -3415*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27959072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003263864 rounded to seven dps?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 a when three letters picked without replacement from aaaaaaaaadd.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2144 and 708736.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30051 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14015 - 13985. Calculate the highest common divisor of 678 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6308 = -3*b - 227. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -0.16 (b) 0.9 (c) -1 (d) 0.5 (e) -1.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 41656 divided by 164?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z**3 + z**2 - z**2 + 24498 - 24498.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 2*t**3\/3 + 1. Let f = 55 - 35. Let i(r) = -r**2 + 4*r + 4. Let n(h) = -h - 1. Let x(k) = f*n(k) + 5*i(k). Determine x(c(b)).\nAnswer: -20*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13211737640 take away -0.086?\nAnswer: 13211737640.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 33?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 471*c + 1884. Let z be y(-4). Solve 41*f + 170 - 88 = z for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 2*m**2 + m + 3. Let s be w(0). Suppose -s*g - 2*j = -649, 2*g + 4*j = 668 - 246. List the prime factors of g.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/((-64)\/1))\/((-22)\/44).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -186 - 1287.\nAnswer: -1473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.05 (b) 0.3 (c) -0.022 (d) -34 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -540, -541, -542, -543?\n\"Answer: -g - 539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 m, 1 d, and 1 k when four letters picked without replacement from {m: 7, n: 2, d: 2, v: 2, k: 2}?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 1:10 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 3*n + 11, 0 = 3*l - 0*l - n - 9. Let o(h) = -3*h**2 + 5*h**2 - 4*h**2 + l*h**2 + 1. What is the tens digit of o(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 26, 40, 68, 116, 190?\n\"Answer: h**3 + h**2 + 4*h + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2. Let l(x) = 19*x - 2. Give u(l(q)).\nAnswer: 1083*q**2 - 228*q + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/10 and 1*4\/38 - (-95347)\/(-24415)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 223433 by 53.\nAnswer: 223433\/53","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -12860, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31523*n**3 + n**2 + 12189714*n wrt n?\nAnswer: -189138*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-9))\/g**(2\/31))\/(g\/g**(-3)*(g*(((g*g*g\/(g\/g**10)*g)\/g)\/g)\/g)\/g))**(6\/11) assuming g is positive.\nAnswer: g**(-4104\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1966*g + 52*g**2 - 99*g**2 - 856*g.\nAnswer: -47*g**2 - 2822*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 6828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 110 + -84. Let c = -27 - b. Let r = 46.6 + c. Round r to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - -16 - (85 - 59).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of 169*h**2 - 50\/3*h**3 + 0 + 1\/6*h**6 + 0*h + 0*h**5 - 1\/8*h**4 - 2\/105*h**7. What is the second derivative of o(g) wrt g?\nAnswer: -48*g**2 + 120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -7.5. Let z = -147.6 - -144. Let o = x - z. What is o rounded to 1 decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-3)\/18*(1 - -14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h = 32*h - 211210. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -38 + 7efbaa?\nAnswer: 7efb72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 1 - 1)*(0*y**3 + 2*y**3 + 0*y**3) - 3*y**4 + 4*y**4 - 3*y**4 + 0 + 0 + y**4 - y**4 + 3*y**4 + 0*y**4 - 11*y + 11*y - 5*y**4.\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 9 - 21)*(1 + 10*h + 2 - 9*h).\nAnswer: -4*h - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -5. Sort -2\/7, 0.1, b in descending order.\nAnswer: b, 0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -644*i**3*k**3 + 27*i**3*k**2 + i*k**3 - 12*i*k + 93*i - 3*k wrt i?\nAnswer: -3864*i*k**3 + 162*i*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 2*n**3 + (2 - 2 + 1)*((-3 + 5 + 0)*(-n**3 + 2*n**3 - 2*n**3) - n**3 + 3*n**3 + n**3).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 242029 and 14858.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l + 739 = -539. What are the prime factors of l?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5534 divided by 205\nAnswer: -5534\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 + 653896460*v - 21379029020026580.\nAnswer: -5*(v - 65389646)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 10\/7, -3, -59?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (32\/12)\/(-4) - (-4010)\/(-6). Let g be 8\/36 - o\/27. Solve -5*t = g, -5*x + 6 = -3*t - 9 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/26133 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*h + 2 + 263 - 43. Let a(c) be the third derivative of -1\/24*c**4 - c + 1\/30*c**5 + 23*c**2 - 1\/120*c**h + 0 - 1\/3*c**3. Calculate a(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - -370\nAnswer: 370.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -427*c + 34369. Give f(73).\nAnswer: 3198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 29*g**2 + g + 112. Let z(h) = -38*h**2 - 2*h - 111. Give -4*a(b) - 3*z(b).\nAnswer: -2*b**2 + 2*b - 115","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 66242942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1033253 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 6*c - 564 = 4*c, -4*w + 5*c = -564. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -402, -793, -1184?\nAnswer: -1575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*k**6 + 10410*k**5 - 7*k**4 - 1517*k**2 + 402.\nAnswer: 480*k**3 + 624600*k**2 - 168*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15345985 rounded to the nearest 100000?\nAnswer: -15300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -40440891 - -3?\nAnswer: -40440888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -70*s + 90*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -241*k - 41. Let j(d) = -240*d - 40. Let w(o) = 3*j(o) - 2*p(o). What is the units digit of w(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s + 5*s - s)*(4 + 27 + 8) + (3 - 2 - 2)*(2*s + s - s) to the form j + t*s and give t.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - 16 - (-6 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21473 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*f + 9, 5*f + 2*s - 1 = 14. Solve 0*c - 3*q = -4*c - f, -6 = 4*c - 2*q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 - 6680635*k**2 - 2231687826880*k - 95950224459260.\nAnswer: -5*(k + 43)*(k + 668042)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.108 < -134\/165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26147, 25753, 25359, 24965, 24571?\nAnswer: 24177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10730 or 50\/13?\nAnswer: 50\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1.4, 3\/74, 2\/9, 1\/2, -6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3309475*a + 1795*a**2 + 3309475*a - 2*a**2 + a**2 + 3*a**2 + (-2 + 3 + 1)*(2*a**2 + 2*a**2 - 3*a**2).\nAnswer: 1799*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 41\/2 of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/6241 equal to 1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-5)*360\/(-108). Calculate the remainder when 1 + 1*(-12)\/(-2) is divided by -5 - (-6 + -7 + y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 161*a + 162*a - 326*a + 4.\nAnswer: -3*a + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/555080 and 53\/280.\nAnswer: 3885560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g**24\/g)\/g*g)**(-2\/29) assuming g is positive.\nAnswer: g**(-48\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - (-31 - (-22 + 15)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((135\/(-165))\/3).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -883 or -648?\nAnswer: -648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + g - 1 - 5*g**2 + 0*g**2. Let n be ((-2)\/6)\/(2\/(-18)). Suppose t - 4 = -n*t. Give u(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 53 = -27. What is the highest common divisor of 16 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*h - 595 = 43*h. Let v(i) be the second derivative of 0*i**3 + 0 + 1\/3*i**6 - 8*i + 0*i**2 - 5\/42*i**7 - 1\/4*i**h + 0*i**4. Factor v(s).\nAnswer: -5*s**3*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 45 + -6?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, y: 6, w: 2, j: 2, x: 1}. Give prob of picking 1 y and 1 b.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-2))\/(-7 + (-959)\/(-140)). Let w be (-35)\/y*(192\/14)\/6. Suppose -2*g + 9 = 3. Solve 4*s + 3*k - w - 1 = 0, k + 10 = g*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -1935*h - 17000. Calculate m(-9).\nAnswer: 415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 102, 473?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 6*x**2 - 27*x + 22. Let j be s(8). Let w = -56 + 66. What is the greatest common factor of w and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 + 0*f**2 + 4*f**2 + 4*f + 1. Let p(j) = -2*j - 5. Let w be p(-15). Let t = -28 + w. Determine x(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**5\/300 + l**4\/15 + 8*l**3\/15 - 9*l**2 + l. Let i(a) be the first derivative of r(a). Factor i(z).\nAnswer: (z + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - 2*u - 7, 3*u + 108 = r + 95 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - ((-82 - -41) + -67)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z + 165*z = 2136 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153, 351, 885, 1923, 3633, 6183?\nAnswer: 9741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -22*j**2 + 76*j - 42. What is x(6)?\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 89.398396 + -89.4. What is x rounded to four decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 538 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 33*c + 6403 - 6331 = 0, 4*g = -5*c + 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 41124168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.1 (b) 0.7 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/10)\/(11\/(1100\/20)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 775.9 in 0, -536, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 352496035?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 r, and 1 s when three letters picked without replacement from {s: 1, y: 6, n: 4, l: 2, b: 2, r: 2}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 19026.612 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (-16)\/4 + -10. Let s be 5 + -1 + (14 - d). Suppose -s + 10 = -7*h. Solve 0*b + h*b = 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1274*b - 189 = -3*d - 2546*b + 1275*b, -222 = -5*d - 26*b for d.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -3. Let d(m) = -5*m**2 + 3*m - 4. Let j(g) = -4*g**2 + 2*g - 3. Let l(n) = 3*d(n) - 4*j(n). Let s be l(-2). Solve s*x = w + 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/4 - 0) + 1. Let y be 0 - z - -3 - -7. Let w(b) = 5*b - 7*b - 4 + 4*b. Let o(i) = i - 2. What is y*o(q) - 4*w(q)?\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/1 - (-264)\/(-18).\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + (2 - 5) + 314 + -279?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*w - 4*t, 4*w + 5 - 23 = 2*t. Suppose -2*c = -p + 9 - 1, -c = w. Factor 3\/7*b**5 + 0*b + 3\/7*b**3 + 0 + 0*b**2 + 6\/7*b**p.\nAnswer: 3*b**3*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*a - 576 = 34, -1790 = -3*o - 2*a. Calculate the greatest common factor of o and 2862.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 - -89\/3. Let q = -119 + 122. Which is the biggest value? (a) 2 (b) p (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 11*h - 8. Let y be n(6). Suppose -2*g = 4 - y. Let x = 43 - g. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005146 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -81, -3, -1, 2\/7, 4\/3, 85?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1356 from -42.2.\nAnswer: -42.0644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, f: 1, q: 1, d: 2}. What is prob of picking 1 q and 1 d?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 7:12 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -35424 to the nearest 100.\nAnswer: -35400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 53\/5 + (-10)\/(-25). Suppose 10*v + 5 = h*v. Suppose -630 = -4*b - v*b. What are the prime factors of b?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 26 = -50 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1291, -1323, -1327, -1303, -1251, -1171, -1063?\n\"Answer: 14*f**2 - 74*f - 1231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 2:06 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 62270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -54734279.\nAnswer: -54734276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 12 = 3*k, 3*p - 1 = -k + 9. Solve 3*w + 15 = -2*l, -3*w + k = -5*l - 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364955 (base 11) in base 4?\nAnswer: 2030333000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9.611226 months?\nAnswer: 0.008009355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 5*h**2 + h + 1. Let a be d(-6). Let n = a + -20. What is the greatest common divisor of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 79 - (8346 + -8280)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 10 + 3 - 160*g + 162*g - 3. Let n(p) = -p - 4. Suppose 5*b - 9 + 19 = -k, -4*k + 4*b = -32. Give k*q(x) + 12*n(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -70170094.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-28)\/21*3\/14. Let h be 5 - (-2 - (-1 + -4)). Which is the biggest value? (a) 4 (b) h (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**2\/11 - 34756*d\/11 + 208464\/11 = 0. Calculate d.\nAnswer: 6, 17372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 31.7384 and -20.\nAnswer: 11.7384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 896022*h**3 - 63006*h**2 - 1 wrt h.\nAnswer: 5376132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20923 + 20959. Solve -p = -478*f + 474*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 - m**2 + 4*m**2)*(11*m + 7*m**2 - 11*m) + 0*m**4 - 5*m**4 + m**4 + 2*m**4 - 1 + 1 + m - m + 2*m**4 + (3*m**2 - 3*m**2 + 2*m**3)*(1 - 1 + m).\nAnswer: 9*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*w = -1472 - 160 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)\/sqrt(4)*-5)\/(sqrt(90)*-2) - (5 + (sqrt(90)*1)\/sqrt(2))**2.\nAnswer: -70 - 175*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265246060?\nAnswer: 2, 5, 71, 186793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1790974 to the nearest integer?\nAnswer: 1338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -13365b?\nAnswer: 133656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9341573?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4331)\/5368 - (477\/99 + -5)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368 a factor of 7357262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27081 and 216943?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**4 - 228190*j**3 + 25*j**2 + 16479444 wrt j.\nAnswer: -4*j**3 - 684570*j**2 + 50*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18700, 17879, 16508, 14587, 12116?\n\"Answer: -275*w**2 + 4*w + 18971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43854905 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/5)*k**5*k**(-6)*k*k*k**1)\/(k*k**(-2)\/k*k*k*(((k**(-3\/4)\/k)\/k)\/k)\/k)**(2\/19) assuming k is positive.\nAnswer: k**(29\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11, 132, 459, 1094, 2139, 3696?\n\"Answer: 17*i**3 + i**2 - i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 less than 175.96?\nAnswer: 165.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 4*z - 4*z - 4*z**3 - z + z**2.\nAnswer: -4*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 29 (b) -12159.75 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -b01a (base 16) to base 12\nAnswer: -2210a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1610228 or -1610224?\nAnswer: -1610228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1950a - -2?\nAnswer: 1950c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -4. Suppose 0 = m*a - 5*o - 5, 0*o = -4*a - 2*o - 14. Let p = a - -3. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-12) + 125\/(-25500)*1598.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -7\/5, -5, 4\/7?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67688 - 33570 - 98*b - 34118.\nAnswer: -98*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 571342363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7980 + 8222. Calculate the lowest common multiple of 2046 and l.\nAnswer: 22506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 981675?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n**2 - 54*n**2 + n**2 - 13*n**2 - 40*n**2 in the form j*n + k + m*n**2 and give m.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2130 divide 107449980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 166 + -189 + (40 - -4)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 0*y. Let z(r) = r**3 + r**2 - r + 3. Let k be z(y). Suppose -4*x + 2*t + 7 = -21, k*t - 13 = -5*x. Solve -x*f = -7 - 8, -f + 8 = 5*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-20))\/((-3)\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64937?\nAnswer: 64937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2*17.682199\nAnswer: -35.364398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -445712 (base 8) to base 12\nAnswer: -730b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - 0. Suppose 0 = 4*j - t - 144 - 99, 3*j = 2*t + 186. Let l be -6*-6*(-5)\/j. Is u greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -71859, 4\/7, 5\/6, -2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81037196, 81037195, 81037194, 81037193, 81037192?\nAnswer: 81037191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide -907*(-19 + 2 + 12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221\/95 greater than or equal to 68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6368 and 32227652.\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 11 + -33 + 7.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -758963 or -758845?\nAnswer: -758963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) -2 (c) -1 (d) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 763390 rounded to the nearest 1000?\nAnswer: 763000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -2*w + 165, -3*f + 1 = -4*f. Suppose 0 = -7*l + w + 27. What is the remainder when 251 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4451*h + 560*h + 46 + 16 - 680*h.\nAnswer: -4571*h + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 667*k**4 - 5*k**3 + 1666. Let g(b) = -4668*b**4 + 36*b**3 - 11664. Let a(h) = -5*g(h) - 36*l(h). Differentiate a(i) wrt i.\nAnswer: -2688*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10 + 4)*4\/6*71. Let p = -228 - y. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + (2 - 1) + 6 + 66 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*y - 7*y + 12*y)*(42*y - 9*y - 4*y) as x + z*y + h*y**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278866?\nAnswer: 2, 7, 19919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 13) to base 11.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8316 divided by -22\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1022, -4302, -11940, -26114, -49002, -82782, -129632?\n\"Answer: -363*n**3 - n**2 - 736*n + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1431766*t + 7558622?\nAnswer: 1431766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -251570.01 to the nearest 100.\nAnswer: -251600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -211265990.\nAnswer: 1\/105632995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 125089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 409267264*s - 818534565*s - 6*s**2 + 0*s**2 + 409267301*s.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420 = 34*g + g. Solve -g = -2*k + 4*q, -5*k + 0*k = -4*q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 2*f = -2*v - 391, 6*v + 3197*f = 3192*f - 197 - 280 for v.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-57)\/399)\/((-12)\/(-21))*-8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10482 - 10482 - 1190*l**3.\nAnswer: -1190*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76529, 306122, 688765, 1224452, 1913177, 2754934, 3749717?\nAnswer: 4897520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36141223 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 52598 - 9898. Suppose v + 5*x + z = 6*v, -2*v - 3*x = -4255. Suppose -2868 = 5*s + v. Round s to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1964*0.5\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*a - 24*a - 10*a + (-3*a + 2*a + 3*a)*(3 - 1 + 0) + a - 2*a + 2*a + (-3 + 6 - 5)*(-a + 0*a + 0*a) - 4 - 3*a + 4 to the form w + t*a and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69, -5, -6252, 0, -4, 7, 4 in increasing order.\nAnswer: -6252, -5, -4, 0, 4, 7, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one twentieth of a second?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 2922 = -2894 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -81 + -1934\nAnswer: -2015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000027423 rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -27 + (36 - -59)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1054.6377 to 1 decimal place.\nAnswer: 1054.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 312541152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1038057*z**5 - 51*z**2 - 7*z + 35 wrt z.\nAnswer: -62283420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -202? (a) -1.3 (b) -4 (c) 5 (d) 2\/11 (e) -0.4 (f) -136\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11895 - 49*i**3 + 0*i + 164*i**3 - 61*i**3 + i - 53*i**3.\nAnswer: i**3 + i + 11895","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 399494666 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1397, -1752, -2117, -2498, -2901?\nAnswer: -3332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -21, -6.\nAnswer: -21, -6, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -625\/12, -4, -1, -59, 3, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**2 + 2\/3*g**3 - 1\/12*g**4 + 0 - 2*g. What is j(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 6:59 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-19)*r)*(r\/((r*r**(1\/23)\/r)\/r))\/r)\/(r**(-1\/12)*r)**(-13) assuming r is positive.\nAnswer: r**(8797\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g + 3. Let n(b) = -5*b - 10. Let c(i) = -4*n(i) - 11*w(i). Let u be (-174)\/12 + (-1)\/2. List the prime factors of c(u).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 1:46 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 3122?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = x - 26. Suppose -2*t = 0, 0*o - x = -2*o - 5*t. Is (2824\/o)\/((-3)\/((-18)\/4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1213 (base 4) to base 5\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 0.4, -1, 286758 in increasing order.\nAnswer: -1, 0.01, 0.4, 286758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101 + 111?\nAnswer: 111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**4\/2 + 115*x**3\/2 - 1736*x**2 + 4704*x = 0.\nAnswer: 0, 3, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21364 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 6*a**2 - a - 4. Let o be f(-6). Suppose 14*q = 17*q - 6. What is the third derivative of 2*c**4 - c**o + 6*c**2 - 3*c**q wrt c?\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 3*n - 12, 4 - 10 = 3*n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 24 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0 + 12 + (35 - 39) - 13\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 140 and -239361?\nAnswer: -33510540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/2)*v**(-3\/8))\/(v**7*(v**(-8)*v)\/v) assuming v is positive.\nAnswer: v**(1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9782 and 6614106?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.16 in 18\/17, -1\/3, 6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 2*y + 8 = 0, -s + 6*y - 2*y + 7 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 97214911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/131, 5\/4, 3\/14 in decreasing order.\nAnswer: 5\/4, 3\/14, 2\/131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of 5*k**3\/6 + 21*k**2 + 63*k. Let j be i(-7). Suppose 0 = -0*o + 2*o - 154. What is the greatest common factor of j and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 551 = -3*b, -3*a + 5*a - 228 = 5*b. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 3*m - 198. Let y = -44 + m. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 3 - 1)*(7*f - 27*f + 3*f) - 7*f - 2*f + 5*f)*(-5*f + 2*f + 4*f)*(6 - 6 - 2) to the form z*f**2 + a + l*f and give z.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158, 941, 2860, 6419, 12122, 20473, 31976, 47135?\nAnswer: 66454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-9))\/((-2)\/12). Suppose -3*t - 2 = -s*t. Let j(k) = 0 + 2 + 3*k**t - 2*k**2. Give j(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 12) to base 14.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 5*r + 2*t, -44*r + 3*t - 17 = -45*r. Calculate the smallest common multiple of r and 76.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 1366 = -0*o + 2*o, -4*j + 5*o + 1359 = 0. What is the hundreds digit of 1 + -1 + j + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 256 = -724. Is 49 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/2 + 5*u**3 - 13*u**2\/2 - 30*u - 18.\nAnswer: -(u - 6)**2*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 13*g**2 - 4*g - 2. Let j be n(-12). What are the prime factors of (-1)\/3 - j\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 14932055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20677\/2168 - 44\/271. Find the common denominator of (((-40905)\/(-360))\/(-101))\/((-12)\/46) and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 7*i + 3*n = -431, -n + 443 = 4*i. Let b = 5 - 2. Suppose -100 = -4*a - 3*p, a + b*p - 2 = 32. What is the greatest common factor of a and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from pfffpfpppfff?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/14 (b) 0.04 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25992 = -662*z + 17038 for z.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -220*h + 6*h - 283*h + 43*h in the form f*h + s and give f.\nAnswer: -454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1111465 is divided by 79389.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 5*y - 5*y)*(8346 - 8346 - 22*y).\nAnswer: 66*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x + 3*x**3 + 668*x**2 + 26 + 24 - 48 + x to t + k*x**2 + q*x**3 + d*x and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/30 + 164\/3. Let n = 112 - x. Suppose -102 = -8*s + n. What is the least common multiple of s and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/714)\/((-532)\/931).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -34995, -58676, -82357?\n\"Answer: -23681*r - 11314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -501331540 - -1?\nAnswer: -501331537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6342 and 116270.\nAnswer: 348810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 47596362713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*s - 23*s = 8870. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -886*p**2 + 623. Let w(l) = 885*l**2 - 622. Let g(x) = -3*u(x) - 2*w(x). What is the first derivative of g(b) wrt b?\nAnswer: 1776*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -563 + 563.2. Sort -60, 0.5, j in increasing order.\nAnswer: -60, j, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*l**2*m - 150*l**2 + l - 3*m + 11256 wrt l.\nAnswer: 74*m - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7, 16, 27, 40, 55, 72?\n\"Answer: p**2 + 6*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -335 + 1661\/5. Is c equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 72 = 76*g, -332*g = p - 330*g - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0\/(d*d**(1\/2)))**(1\/72) assuming d is positive.\nAnswer: d**(-1\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + (sqrt(85) + -5*sqrt(85)*-1 - sqrt(85)) + sqrt(85) - sqrt(85) - (sqrt(85) + (-1*sqrt(85) - sqrt(85))*-5))\/(sqrt(180)*2*5).\nAnswer: -sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.87 + -4.132. Let j = m - 0.038. What is the third smallest value in 3\/7, 3, j, -2\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100011 (base 2) to base 15\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = 14*b - 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (2 + -5)) + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64*y + 768, -m - 1172*y = -6*m - 1171*y + 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bacbdcadaacboad. What is prob of sequence db?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 5*c - 2*u, 17*c = 16*c + 2*u - 9. Let j(f) = 11*f**2 - 9*f - 5. Let p(m) = 8*m + 3 + 0*m - 3*m - 2*m**2 - 4*m**2. Give c*p(g) - 4*j(g).\nAnswer: -2*g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -6, -5*w = -6*a + a - 625. Let y = a + 157. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j = -2*j + 1292. Let d = j + -65. Solve -5*g - t = 28, -d = 2*t + 3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 142737 and 343?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 0*s - 1\/8*s**4 - 3*s**2 + 0 + 0*s**3. Let j be a(-2). Solve j*g - 3*g - 5 = 2*l, -5*l + 30 = g for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 14, -0.3, 20, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 9*j**2 - j - 5. Suppose c - 2*c = 9. Let f be p(c). Suppose -f = i - 4*u - u, -3*i + 4*u = -10. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -u**2\/2 + 10*u - 4. Let b be g(7). Solve -b*c + 6 = -0*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t**2 - 82*t - 655. Calculate d(-10).\nAnswer: -335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -785, -3838, -9071, -16478, -26053, -37790?\nAnswer: -51683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125332 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**9\/504 - n**5\/60 - n**2 + 4*n. Let f(l) be the first derivative of c(l). Find the third derivative of f(s) wrt s.\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 42, -3 in descending order.\nAnswer: 42, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -3*i**7\/140 + 3*i**4\/2 - 6*i**3 + 3. Let b(v) be the third derivative of f(v). Differentiate b(d) with respect to d.\nAnswer: -54*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 0)*((4 - 4 - 2*b**2)*(3 - 2 - 3) - b**2 + 2 - 2).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 99, -2867, -5849, -8847, -11861?\n\"Answer: -8*t**2 - 2942*t + 3049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 391005 divided by -78201\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12452587.\nAnswer: 7, 211, 8431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/14*(-7)\/6. Let p = -16.5 - -16. Which is the closest to 6\/11? (a) p (b) w (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 + 78 - 42)*(-7*h**3 + 5*h**3 + 3*h**3).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21090934 is divided by 139675?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mym when three letters picked without replacement from tmmtttmttmtymttmmmm?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 296 times -33\nAnswer: -9768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 219479*b + 219483. Calculate d(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4190663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 93*w**3 - 944*w**3 + 17.\nAnswer: -1037*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l - l + 0*l - 5*l + 0*l + 4*l + (-2*l + l + 3*l)*(3 + 3 - 4) + 0*l + 3*l - 5*l + 0 + 2*l + 0 + 0*l + 0*l + l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a centimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 153, 310, 461, 600, 721, 818?\n\"Answer: -k**3 + 3*k**2 + 155*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 270559578 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and -15.987.\nAnswer: -11.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -635?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - 4 - -15 - (0 + -2 - -3). Solve 0 = v*r + 2718 - 2648 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5*x**3 - 373*x**2 - 149*x - 46. Let d be z(75). Are 28 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i + 10. Let y(k) = 1. Determine 10*y(q) - z(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*j + 6*j - 2*j - 76 + 6*j to b*j + v and give v.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, d: 2}. What is prob of sequence zddz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -51*i - 15 - 149*i - 10*i - 8. Let v be k(-4). Suppose -2*p = 3*f - v, -5*p - 3 + 13 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -19, -21, -7, 29, 93, 191?\nAnswer: 329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/72)\/(1\/121). Let h = 38\/9 - j. What is the second smallest value in -2, h, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*j**3 + 27*j**2 + 28*j**2 - 55*j**2.\nAnswer: 29*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3981643 - -7175487. Let j = -3193709.99948 + p. Let g = -134 + j. Round g to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79 - 212 - 7*n**2 + 133.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + (8 - -1 - (-399 - -398))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63133753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6*u**2 - 2*u - 4. Let f(d) = d**2 - d. Let r(k) = -b(k) + 5*f(k). What is r(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/6*1*-4. Suppose 0*w - m*w = 10. Let d = 6 + -5. Which is the closest to d? (a) w (b) 3\/8 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 28*q**2 - 50\/3*q**3 - 6*q - 8\/3*q**4.\nAnswer: -2*q*(q + 3)**2*(4*q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9452 and 1496?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 85.72293 months?\nAnswer: 0.071435775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 1\/8 (c) 64 (d) -2\/23 (e) 4 (f) 132\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 371, 715, 1045, 1355, 1639, 1891, 2105?\nAnswer: 2275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/9912 and -19\/3304.\nAnswer: 9912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qb when two letters picked without replacement from {b: 1, f: 2, w: 1, d: 1, q: 1, r: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3*d**3 - 39*d**2 + 96*d - 60 = 0.\nAnswer: 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bgb when three letters picked without replacement from {b: 6, g: 10, r: 2}?\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3296551757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16588.\nAnswer: 2, 11, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-5)*w**13 assuming w is positive.\nAnswer: w**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - -0.05. Let x = 2.95 - d. Which is the second smallest value? (a) -1 (b) x (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 61035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 12 = -18. Suppose 2*q - u*d = 86, -4*d = q - 3*d - 50. Is 37 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 - 34. Let h = 0.02 - -0.28. Which is the third smallest value? (a) -3 (b) h (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**3 + 4*v**3 - 3*v**3 + (0*v**2 - v**2 - 6*v**2)*(1 - 1 - v) - 4*v**3 + 3*v**3 - v**3 as z*v**2 + t*v**3 + m*v + f and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 17*o - 16*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-28)*-14*56\/(-14)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 15 = 2*x, 0 = -5*y + 4*x + 2 - 5 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/11 - 7961370*u**2\/11 + 7922922553926*u\/11 + 7922930515298\/11.\nAnswer: 2*(u - 1990343)**2*(u + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8805593404 to the nearest integer?\nAnswer: 2065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.49 - -0.09. Which is the third biggest value? (a) 4 (b) f (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.179738 to three decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 702 by 54.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8586*a + 705 - 705.\nAnswer: 8586*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, 3, 16, -83, -3 in increasing order.\nAnswer: -83, -3, 0, 3, 8, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11628 is divided by 2636.\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 92 - 92 - 409*d**2 to v*d + k*d**2 + w and give k.\nAnswer: -409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 43\nAnswer: 8.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 41868989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 - 4*k - 1. Suppose -2 - 13 = -5*b. Let f be g(b). Solve -2*a + f*w - 1 - 5 = 0, 3*a - 2*w = -9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 4*t**2 + 2*t - 10. Determine z(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/56 and 145\/12.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-197 + 197 - 35*a**3)*(10*a - 6*a + 10*a) to the form h*a + j + w*a**2 + o*a**3 + b*a**4 and give b.\nAnswer: -490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, o: 4, a: 9, s: 2}. What is prob of sequence so?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1569068*q*t**2 - 12579*t**2 - 2*t wrt q.\nAnswer: 1569068*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4863097666 - 13*x + 4863097666.\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2388473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 845 = -4*q. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 2 (b) -0.4 (c) 60.39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -406 - 24*h - 401 + 1255*h**2 + 24*h + 807.\nAnswer: 1255*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4 - (-68)\/(-16)) + (-283)\/(-60) and 35\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4584*u. Let r(n) = -12*n. Give r(o(l)).\nAnswer: -55008*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 10 = -4*f. Suppose -2*q = f*q. What is the units digit of q + 3 + (-8)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 6 = -0*g. Suppose -24 = -3*m - 5*j, -g*j = -3*m + j + 24. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -10. Let q be (-215)\/(-35) + (-24)\/21. Suppose 5*y = 8*y - 12. Put t, q, y in descending order.\nAnswer: q, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.8 + 1.2. Let a = r + -8.4. What is the closest to -1\/3 in -2\/9, a, 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6295.3959 rounded to the nearest one hundred?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-16)*z\/(((z\/z**(2\/5))\/z)\/z*z*z))**(-15\/7) assuming z is positive.\nAnswer: z**(219\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0035788 rounded to four decimal places?\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 61*b + 6*b**2 - 61*b + 37*b**2.\nAnswer: 43*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -73 in -3\/8, -0.13, 1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 2*a + 34, 5*f - f = 3*a - 30. Let l be 4\/3 + 2\/f. Suppose 0 = 4*w - 39 - l. What is the remainder when w is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5393? (a) 2 (b) -2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -779*i - 8057 = -35344 - 31138 for i.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*c + 1247 + 405 = -129 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) - (sqrt(1088) - 3*sqrt(1088))*-6)*-4.\nAnswer: 352*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2822*n**2 + 1430*n**2 + 1389*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q + 215 = -32. Let v = -2.9 - -2.8. Let w = v + 0.2. Do q and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51611162?\nAnswer: 2, 593, 43517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**5 - 1718*b**4 + 447656*b**3 - 31655712*b**2 - 32105088*b = 0.\nAnswer: -1, 0, 116, 372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 4:14 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 20*i**3 + 2. Let z(y) = 194*y**3 + 20 + 15 - 85*y**3 + 221*y**3 + 10*y**3. Calculate -70*a(v) + 4*z(v).\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 5*q = 40, 1102*m = 1097*m - 3*q - 13 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (2\/(-8) - (-1)\/4). Let a(y) = 30*y**2 - 8*y + 5. Calculate the remainder when a(i) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*q - 134*q + 7938 = 0. What is the greatest common divisor of 78 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 972 divided by -5\nAnswer: -972\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17559*a**3 + 16742*a?\nAnswer: 105354*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-7))\/(3\/(-2)). Suppose 0 - 4 = 2*n - 4*s, 14 = 4*n + 3*s. Suppose b = -4*a + 21, 2*b - n = 2*a - 0*b. What is the nearest to -2\/7 in -1, a, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o - 7. Let v be i(10). Suppose 2*n + v*t - 6 = 0, 0 = 4*n - 5*n - 2*t + 4. Solve 9 + n = -3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/9 (b) -9\/4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4202 (base 5) to base 10\nAnswer: -552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -0.01, -142, -4, -0.3, 17?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 204 - 201. Suppose a = -q + 77. Does 8 divide a\/10 - (2898\/15)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 1. Suppose 0 = 2*j + 4*q + 20 - 8, 5*j - 2*q + 6 = 0. Let v be a(j). Let p be 3 + v + 2 + -6. Solve -p - 2 = -2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 667 and 529.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3308*p**2. Let u(b) = -9*b. Give u(w(k)).\nAnswer: -29772*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -66.21 and -14.17368?\nAnswer: 52.03632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -3*f + 117, -8430*f = b - 8429*f - 33 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**3 + 34*n**2 - n + 22. Let v be k(17). Let s(h) = -3*h + 15 + 21 - 4*h + v*h. Let d be s(-12). What is the greatest common divisor of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -5 (b) 1.8 (c) 49 (d) 4\/5 (e) -1 (f) 2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9956024 is divided by 1659336.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8855.3 - -9234. Let k = j + -379. Which is the third biggest value? (a) k (b) -3 (c) 0.65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((2*2*sqrt(300)*4)**2 - (1 + (sqrt(300) - (sqrt(300) + sqrt(300) + -1)) + 3)**2).\nAnswer: 100*sqrt(3) + 76479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1)**(-2\/45)\/(c**3*c*c**1*c))\/((c\/(c\/c**1*c)*c)**(-17)\/(((c**(-1\/5)*c)\/c)\/(c*(c\/(c*c*(c*c\/c**(-2\/7))\/c*c))\/c))) assuming c is positive.\nAnswer: c**(4423\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 36193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**5 - v**4 - v**2 - v + 1. Let c(y) = 3*y**2 + 14*y - 4 - 6 + 1 + 15*y**4 - 2*y + 6*y**5. Let w(p) = c(p) + 9*i(p). Factor w(t).\nAnswer: -3*t*(t - 1)**3*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21 - 1 + 10*w**4 - 5 wrt w?\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*j**4 - 28 + 28 + (-j**3 - j + j)*(-2 + 12 + 509*j - 6 - 2).\nAnswer: -494*j**4 - 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 6*f - 11*f. Suppose -4*r = 4*n - 140, 87 = f*r - 4*r - 3*n. Suppose 5*q + 5*z - 140 = 0, 0 = -4*q + 3*q - 3*z + r. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0)*36\/96*-2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49448167?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 7. Let r be (-24)\/(-2)*8\/6. Suppose 2*j = -j + 6. Suppose 4*i + 2*f - r = 0, -4*i + j*f + 29 = i. Determine k(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79867.501 rounded to the nearest 1000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 - 82*z - 53. Let v be q(42). Suppose -4*p - c + 53 = 0, p - 3*p + c = -v. Solve -r + p = 6*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 35*q**3 + 351*q**2 + 53*q + 333. What is c(-10)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29 or 26?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -213062, -213061, -213060, -213059, -213058?\nAnswer: -213057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 9 = -3*v - 3, 0 = -3*v + 4*x + 3. Let a be (-1)\/v - (-214)\/(-588). Let z = 241\/1470 + a. What is the biggest value in 2\/5, -3\/7, z?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 62*a - 285. Calculate q(-57).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*j = 7*r, -r = -4*j + 5. Let d = 9 + -13. Which is the third smallest value? (a) d (b) r (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*i = -1505, 302 = 2*h + 5*i - 333. Let v = h + -147. List the prime factors of v.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12839 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w = 3*x - 438 + 408, 5*x = -w - 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31457*s**5 + 3*s**4 - 57271*s - 1 wrt s?\nAnswer: -629140*s**3 + 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/19*(-852)\/1136?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2324, -2972, -4770, -8294, -14120, -22824, -34982, -51170?\nAnswer: -71964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0363 times 1841?\nAnswer: -66.8283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 0*j**2 + 12\/5*j - 7\/5*j**3 - 1\/10*j**6 + 3\/20*j**4 + 9\/25*j**5 + 32. Solve i(k) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 3*v + 9 - 3.\nAnswer: -3*v + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = b - 2*n + 3, b + 5*n = -29 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(400) + 3*sqrt(400)))\/(sqrt(1152)*-2))**2*2*-1 + -2.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -211?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2197868, 2197853, 2197824, 2197775, 2197700, 2197593?\nAnswer: 2197448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14505*h**5 + 6*h - 21 wrt h?\nAnswer: -290100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.41 + -5.41. Sort 3\/5, 0.3, x in decreasing order.\nAnswer: 3\/5, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -8*b - 1. Let k = 17 - 10. Suppose -k*u + 14 = 427. Let p = u + 58. Calculate v(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(3) - (sqrt(432)*-3 + sqrt(432))).\nAnswer: sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 5*p**2 + p + 4. Determine b(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/60 and (-2 - 2\/1)*1444\/(-3648)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9120879 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -360.039.\nAnswer: -360.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27.0000084 + -27. Round a to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32007 + -17376. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(84)*-2*-1)\/(sqrt(60)\/((3*sqrt(5) - sqrt(5))*5))*1)**2.\nAnswer: 44800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 16. Let b(k) = -k**3 + 7*k**2 + 4. Let l be b(x). Suppose -l*r = -7*r + 279. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -637551, -637509, -637439, -637341, -637215, -637061?\nAnswer: -636879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43173740.\nAnswer: 2, 5, 347, 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11890944666 - 11890838063.90006. Let j = u - 106603. Let i = j + 0.9. What is i rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 71\/4 of a litre?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28? (a) 31\/4 (b) -1\/2 (c) 4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189\/9*(-150)\/175.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 172\/825 + -2\/75. What is the nearest to -2 in -1\/85, -0.05, a?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1205 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (1 + 6 + (21 - (33 + -1)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 148 + -139. Is r\/3 + 0 + 586 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -70*-12*(-9)\/(-30). Let h = a - 139. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153149 is divided by 3618.\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = z - 1, -5*z = 3*m + 3 - 8. Let d be (z\/(-2))\/(1\/6). Let k be (d\/5)\/(1\/(-5)). Solve k*a + 0*a = 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6457 is divided by 591?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16867450 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1582011?\nAnswer: 3, 19531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 3)*(-t**2 - 6*t**3 + 3*t**2 + 3*t**3).\nAnswer: -12*t**3 + 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -3*t + v, 22 - 129 = -5*t - 3*v. Suppose 0*c + t = c. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2. Let x(p) = 46*p - 7*p - 2*p. What is x(w(o))?\nAnswer: 74*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 5 (c) -18 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - 3\/9*3. Let j(m) = -82 - 6*m**b + 82. Let w(a) = -a. Calculate w(j(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2279 + -2276. Let s(u) be the second derivative of 0 + 9\/4*u**2 - 16*u - u**q + 1\/8*u**4. Factor s(m).\nAnswer: 3*(m - 3)*(m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1580 + -680?\nAnswer: a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -4*n - 119, 61 = -3*n - 4*k - 27. Let q be n\/(-4)*(-2)\/(-6). Let r(j) = -j + 1. Let x(s) = 2*s - 1. Calculate q*x(t) + 4*r(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 2:33 PM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 193, 196, 199, 202?\n\"Answer: 3*s + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4*p - 60, 0 = v + 4*p + 16 - 1. Let u(r) be the first derivative of -r**4\/4 - 5*r**3 - r**2 - 5*r + 4. List the prime factors of u(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 89 - 81. Find the second derivative of -35*o - s*o**3 + 11*o**3 - 3*o**3 + 32*o**5 wrt o.\nAnswer: 640*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/42)\/(14\/(-12)*(-155)\/(-1085))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -328, -336, -334, -316, -276, -208?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 30 + 6. Let b be (-1 - (-2 - 0)) + 1. Suppose 2*w - 4 = -5*g + 114, r = b*w. What is the lowest common multiple of 14 and g?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 8\/(-6))*9. Let b be (4\/a)\/(2\/(-15)). Sort b, -5, 2 in decreasing order.\nAnswer: b, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35941, -71869, -107797, -143725?\nAnswer: -179653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -144837 divided by -1881\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 8\/3*m**4 - 2\/5*m**5 - 19*m + 4*m**2 + 2\/21*m**7 - 4\/15*m**6 + 0 - 14\/3*m**3. Solve o(d) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186019752 a multiple of 2248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10*(-78)\/(-130) + (3 - (-1180)\/(-131))\nAnswer: -1\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.102 in 2, 84, 0.1, 33?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q = 20*q + 59*q + 400 + 1708 for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*m = 45*m - 58. Does 29 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*x**4 - 87341220*x**3 + 664436511 wrt x.\nAnswer: 16*x**3 - 262023660*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -1395\/901 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 25*s**2. Let r = -1829 - -1829. Let b(k) be the third derivative of r + 0*k**4 - 11*k**2 + 0*k + 0*k**3 - 1\/15*k**5. Determine b(d(g)).\nAnswer: -2500*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**4\/24 + 12*u**2. Suppose 0 = f + 6*f - 56. What is m(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**4\/12 + o**3\/2 + 4*o. Suppose 5*w = h - 12, w + 5*h = 14 - 6. Let a be (w*2)\/1*1. What is t(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 392 - 193. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of 0 - 14*z + 1\/20*z**5 - 1\/6*z**3 + 38*z**2 - 1\/12*z**4. What are the prime factors of m(0)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -9*k + 5. Let y(t) = -k + t + t**2 - 3*t + 0*t**2 - 2*t**2. Give y(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*j = -13*j - 72 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v + 417376 = 20*v - 298937. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57056 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*f + 15 = -12*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4)\/(l**(-5)\/l))\/((l\/(l\/(l\/l**(4\/7)))*l)\/l*l*l**(-6)\/l) assuming l is positive.\nAnswer: l**(53\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4326 - 4321. Solve -i*n + 24 = w, 2*w + 7 = -5*n + 30 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 13) in base 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20173817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 811 by 11.\nAnswer: 811\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -2*t**3\/3 + 5*t + 35. Let y(x) = -3*x**2 + 6. Let i(l) = -6*d(l) + 5*y(l). Let o(q) = -4*q**2. What is o(i(a))?\nAnswer: -36*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.03 + -12.97. Let r = a - -12.6. What is the nearest to 5 in -2, r, -1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 1778*m**2 + 1627*m - 1625. Calculate f(1).\nAnswer: 1780","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 3. Let g = 0.2 + -4.2. Let y = 0.3 - -0.1. Put k, g, y in decreasing order.\nAnswer: k, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 9*u - 2. Let z be l(3). Let t(g) = -g - 8 + 0*g + 0*g + z. List the prime factors of t(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from eeerjjrcecccmcrc?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 2)*(3*t**3 - 3*t**3 + 4*t**4) + (9*t - 10*t + 14*t)*(9*t**3 + 6 - 6).\nAnswer: 125*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.017, 1\/14, -0.4, 1\/5, 1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 94\/12 + (-1)\/(-6). Suppose -4*q - g - g = -10, -4*g + b = 2*q. Let x be -4 + 2\/1 - -4. Solve -5*f - q*k = -f - 24, -f + x*k = 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 202\/9, -0.4, -1, 0.4?\nAnswer: 202\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156071 divided by -208.\nAnswer: -156071\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/39*1\/(-2). Let o = 14 + -16. Let t = o - -3. Sort l, 3, t, 4 in ascending order.\nAnswer: l, t, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 5*n**4 + 54885*n**3 + 12625340*n**2 + 37491900*n + 24921440 = 0.\nAnswer: -10742, -232, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20122130201 - 11000?\nAnswer: -20122201201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.384 + 10.586. Round i to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**2 + 2*q**2 - 5*q**2)*(0 - q + 0) - 3*q**3 + 0*q**3 + 0*q**3 + (7*q**3 - 3*q**3 - 2*q**3)*(111 - 236 + 77).\nAnswer: -101*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -2*h - 100. Suppose -2*c - k + 794 = 0, 32*k = -4*c + 28*k + 1592. Let s be c\/15 + (-8)\/h. Calculate the greatest common divisor of 2 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 1 + 11. Let y = c + -4. Factor -12 + y*l - 3*l**2 + 12.\nAnswer: -3*l*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooooo. What is prob of sequence oooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -3957124.86187?\nAnswer: -3957122.86187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -10*q**2 + 5*q**2 + 4*q**2. Let a(r) = -5*r. Determine a(j(b)).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d + d + 0*d)*(-3 - 2*d + 3) + 26*d**2 - 190 + 190 to the form n*d + g + u*d**2 and give u.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-40)\/(-15))\/((-8)\/(-276)). Suppose 7*v = 678 + o. Calculate the greatest common factor of 22 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**2 - 8*p**2 + 0*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/((-81)\/21)*4\/(-14). What is the closest to 1\/3 in -2\/5, -0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 200610 and 8?\nAnswer: 802440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 96 - 91. What is the second derivative of -1404*k**2 - 24*k - 20*k**c + 1404*k**2 wrt k?\nAnswer: -400*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -208 and 3553577.5?\nAnswer: 3553785.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9415097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 2*v + 1. Suppose 4*x - 2*x = 8, 5*x = 5*q - 195. Let b = -39 + q. Suppose -3*u - 1 = -5*h - 6, h + 1 = -b*u. Give n(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -60*f - 67 + 3*f**2 + 100 + 267 = 0. Calculate f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28*q**2 + 515 - 515)*(q**2 + 15 - 15) to the form m*q**4 + l*q**2 + y + r*q + s*q**3 and give m.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/15, 46, 18575, -0.3.\nAnswer: -0.3, 0, 2\/15, 46, 18575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3540)\/(-2124))\/((-5)\/(30\/(-16))).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 17. Put -1, -2, w in descending order.\nAnswer: -1, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -15.5. Which is the nearest to 0? (a) -0.08 (b) -0.3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59783 and 10887?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 1)\/(1\/(-3)). Suppose -v + 39 = -0*s + l*s, -5*v - 2*s = -260. What is the remainder when v is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2836 or 5773?\nAnswer: 5773","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*v + 2*v - 260, -2*v = -4*n - 80. Suppose -2 = 3*r - 32. Let i be 20\/v + 56\/r. Solve -3*j + 11 = 2*o, i*o - 2*j - 18 = o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 4. Let y be 2\/b*70\/40. What is the nearest to y in -0.1, 2\/3, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8\/129 + -94\/129. Let l = 3\/2 - 13\/6. What is the closest to l in -1, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -170, -347, -524, -701, -878?\n\"Answer: -177*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (18\/(-135))\/(36\/(-570))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 + (-4)\/((-8)\/(-6)). Suppose 5 - 25 = -c*m. Sort m, 7, 4 in increasing order.\nAnswer: 4, m, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2817*a**4 + a**2 - 65*a - 17.\nAnswer: -67608*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.13796 and 969.\nAnswer: -133.68324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.02 (b) -0.2 (c) 0.3 (d) 10 (e) 0.5 (f) 3\/23 (g) 2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2023\/6 + 338. Let w(r) be the third derivative of 3*r**2 + 0*r + 0 - f*r**3 - 1\/24*r**4. Calculate w(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - ((-84)\/8)\/(-3))*4. Is 14 a factor of (-13 + 70\/7)\/(d\/56)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 28 = -2*s + a, -5*s - 2*a + 161 = 0. Let h = 157 + -66. What is the remainder when h is divided by s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.6, 0.13, 8, -2?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 85, 117, 171, 253, 369, 525, 727?\nAnswer: 981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((24\/40)\/(5*19\/2755))\/(6\/(-20))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 + 503*s.\nAnswer: -s*(2*s - 503)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24394651 is divided by 12197316.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -792*v + 3930. Give a(5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 6 - y + 0*y - y + 4*y. Let h be t(-4). Which is the closest to 1? (a) 5 (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2983242 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 234700375 and 4277.\nAnswer: 4277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a century in years?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1214, 3902, 8076, 13748, 20930, 29634?\n\"Answer: 2*t**3 + 731*t**2 + 481*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17\/2 - -37\/4. Factor 0 - 1\/4*g**2 + 1\/4*g**5 + 0*g + 3\/4*g**3 - q*g**4.\nAnswer: g**2*(g - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 3:01 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62 + -38. Suppose 12*h + 12 = 14*h, -42 = -3*m + h. Calculate the remainder when p is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 y when two letters picked without replacement from {j: 1, y: 1, b: 1, z: 5, m: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 26*u**2 + 62*u - 82. What is the thousands digit of f(-33)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169 = -2*c - 2*y - 618 + 162 + 227, -104 = -4*c + 4*y for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + 0. Suppose -5239 = -o*s - 4*s. What are the prime factors of s?\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3310*f + 5539 = 3119*f for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a millennium in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 62, 228, 500, 878, 1362, 1952?\n\"Answer: 53*j**2 + 7*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 967 or 36?\nAnswer: 967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/20 - 3)\/(5\/(-25))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 7579.\nAnswer: -8\/7579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iyufzif. Give prob of sequence yz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15549 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: Let t = -6 - -5.2. Let w = -0.2 + 0.6. Suppose -4*j + 20 = 4*f, f - 2*j = -2*f + 10. Which is the closest to -1\/4? (a) f (b) w (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36697 + 10197. Round u to the nearest 1000.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 75.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 42, 7, -4, -0.3, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 10:30 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -y**3 + 314*y + 181.\nAnswer: -3*y**2 + 314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-7)*(28\/(-21))\/(208\/(-84))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3096318108 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23977 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2. Let d(k) be the first derivative of -11*k**2 - 8. What is r(d(a))?\nAnswer: 484*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-25)\/(-110))*-10*11\/44. Solve 0 = -w*d + 15 + 18 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68 - 60. What is the greatest common factor of 32 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 181, 285, 389, 493?\n\"Answer: 104*g + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3\/3 - 50*g**2\/3 - 20*g + 120.\nAnswer: -5*(g - 2)*(g + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 9*w + 6. Suppose 0 = -4*i + b + 27, 0 = 5*i + b + 2*b - 55. Let d be o(i). Sort -1, 2, d in decreasing order.\nAnswer: 2, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -10*p**2 + 831*p - 938. What is f(82)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**3\/4 + 33*a**2 + 6013*a\/4 + 1470 = 0. Calculate a.\nAnswer: -35, -1, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*u + 50 - 485 - 1023 = 214 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11268, 11266, 11264, 11262?\nAnswer: 11260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence osg when three letters picked without replacement from fsggfsfgygyyoygyyfgg?\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -153.505 - -154. What is d rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/10)\/(((540\/(-30))\/252)\/((-80)\/42))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 24, 39, 52?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -17, -8302 in descending order.\nAnswer: 0, -17, -8302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwttwtw. What is prob of sequence tttw?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20939, -20912, -20869, -20810, -20735, -20644?\n\"Answer: 8*w**2 + 3*w - 20950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2387949261?\nAnswer: 3, 795983087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.63345ml in litres?\nAnswer: 0.03263345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(2 + 28\/(-12)). Calculate the highest common factor of 63 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 630 = 3*p - 2*d, -7*p + 10*p + 2*d = 642. Calculate the remainder when 547 is divided by p.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from {r: 1, f: 5, i: 8, l: 5}?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 5. Let v(x) = -x**2 - 6*x - 5. Let s be v(-4). Suppose 29*t - 149 = -4. Solve b - 8 = t*q, b + 3*b = s*q - u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 13 - 864*r - 864*r - 6 + 1725*r. Determine w(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6*(13\/(507\/(-624)) - 461\/(-29))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**3\/6 + 3*v**2\/2 - 12*v + 59. Let a(k) = 4 - 2 - 1. Calculate 6*a(i) - b(i).\nAnswer: -i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 119.276236 rounded to 2 decimal places?\nAnswer: 119.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -2875.5.\nAnswer: 5751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*t = -262 - 58 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 3 + 31. Let t(o) = -93*o**2 + 80*o - 23. Let w(r) = -46*r**2 + 40*r - 12. Suppose 0 = 4*a + a + 20. Let f(g) = a*t(g) + i*w(g). Factor f(b).\nAnswer: 2*(5*b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -406760400 > -406760399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**4 + 4*s**3 + 16*s**2 - 16*s.\nAnswer: -4*s*(s - 2)*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*n + 178*n - 361*n + 4*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/c**(2\/27)*c)\/(c**(3\/4)\/c*c*c))**(-3\/4))**(1\/6) assuming c is positive.\nAnswer: c**(-127\/864)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*7.57\nAnswer: -0.757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1840.96 - -1841. Is -22.2 >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2361 + 2358. What is the nearest to 0 in -0.04, -4, -1\/5, f?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6))\/(4\/36)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 2*u**3 - 20*u**2 - 18 - 4*u**2 - u + 16. Suppose -i + k + 4 = 0, 0*k - 3*k = -4*i + 14. Calculate the least common multiple of a(-24) and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -53650, 0.5, 0.2?\nAnswer: -53650","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3592 and 44632.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y + 14. Let w be v(5). Suppose 2*d - w = 24. Let s = d + -14. Solve s = x + 6 - 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**6\/30 - 19*i**3\/6 - 20*i**2. What is the first derivative of u(k) wrt k?\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*s - 16. What is the units digit of (-8)\/(-12) + (-28)\/s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, -2954, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in three eighths of a millisecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34985935.\nAnswer: 5, 19, 368273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) -5 (c) 0.05 (d) 0.61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27696, -54537, -80548, -105735, -130104, -153661?\nAnswer: -176412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-120)\/(-26))\/3 - (-5 + 7). Let k = 76\/221 + f. Sort 4, k, 1, -4 in descending order.\nAnswer: 4, 1, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 12\/25 of a centimeter?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96 + -143 - -124) + -111.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48*w**6 + 393*w**5 + 62*w**3 - 2696162*w**2 - 27 wrt w.\nAnswer: -5760*w**3 + 23580*w**2 + 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 5, -4, -2\/17 in descending order.\nAnswer: 5, 0.4, -2\/17, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/4920 and -133\/1398240.\nAnswer: 57327840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -11*k**2 - 28*k + 160. What is j(-15)?\nAnswer: -1895","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*x - 40602 = 0, 5*b - 20114 = -3*x + 47488. List the prime factors of b.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 5*p - 5. Let a be t(-5). Suppose 3*c + m = -0*m + 6, -4 = 2*c + 2*m. Sort a, 5, 32, c in increasing order.\nAnswer: a, c, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -621.8571 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*z + 162850012, -3*q + 139*z = 128*z + 97710044. Round q to the nearest 100000.\nAnswer: -32600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 390127 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 11*m**2 - 15*m - 22. What is the remainder when q(-10) is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -754 + 6*x + 77*x + 1546 - 6*x - 771 in the form k + w*x and give w.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -0.263?\nAnswer: -0.0526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 101, 101, 103, 107, 113, 121?\n\"Answer: x**2 - 3*x + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9, z: 9}. Give prob of picking 4 j.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -204338*r**3 - 623360*r**2 wrt r?\nAnswer: -1226028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 smaller than -115042777?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5826 divided by 20.\nAnswer: 2913\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*-3 + sqrt(192) - sqrt(108)\/sqrt(4))*2.\nAnswer: -38*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 8917392.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 600956409.\nAnswer: 3, 17, 11783459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7\/(147\/54)*504\/27 and 128.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 152 + 70 + 110)*(-z**4 - 2*z**3 + 2*z**3).\nAnswer: -3*z**5 - 28*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**6\/300 + 2*a**5\/75 + 41*a**4\/60 + 12*a**3\/5 - 7*a**2 + 248. Suppose d(k) = 0. Calculate k.\nAnswer: -4, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 724645863 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*w**3 - 822*w**3 + 89*w**3 + 11.\nAnswer: -910*w**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24066 and 3346182?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-2)*z)**(-1\/4))**(-16) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oc when two letters picked without replacement from ocoeococ?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 861449 or 9475955\/11?\nAnswer: 9475955\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1904?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + (sqrt(1088) + (sqrt(1088)*1)**2 + 2)*-4).\nAnswer: -17424 - 128*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 134*o - 19*o + 6500 = -16*o for o.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5943440.161 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31)\/(-124) - 150\/(-40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 162.94 + -164. What is u rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 32 = -3*v, -4*v - z - 70 = -81. Which is the nearest to 2\/9? (a) -1\/6 (b) 0.18 (c) 0.1 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -26376121, -52752209, -79128295, -105504379, -131880461?\n\"Answer: o**2 - 26376091*o - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/6)\/(9\/486*-6).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/6 - (-420)\/(-9). Let z = 7 - 34. Let c = z - b. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16077 and 12078105?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2943232667?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 6*t**2 + 2. Suppose 4*z - z + 81 = 0. Let d be z\/(-9) - 27\/((-9)\/(-3)). Calculate y(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence svs when three letters picked without replacement from scsv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1573 + -3?\nAnswer: 1570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 696 + -657. Calculate the smallest common multiple of 143 and n.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79 - 74. Suppose 0 = n*c - 4*z - 7 - 9, -2*c + 12 = 4*z. Suppose -k + 15 = -j + 3*k, -c*k + 13 = -3*j. Which is smaller: j or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 plus 141818?\nAnswer: 141939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1435455 (base 6) to base 5\nAnswer: -10123112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 - -1. Suppose z + 1 = c - 1, 0 = -2*c + 3*z + 4. Suppose c*i + 70 = 5*l, -3*i = 3*l - 6*l + 51. Calculate the remainder when w is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 15, 0.07, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d - 7*d - 1610 = 0. Let t = -141 + d. Calculate the least common multiple of 20 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42 - -9)*-20*(-11)\/660?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/1*(66 - 85). Calculate the greatest common factor of k and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 132 - 150. Let g be (-11)\/(220\/32)*3\/f. Suppose -g - 1\/5*l**2 + 4\/5*l = 0. What is l?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2. Let m(w) = -6*w**2 - w - 1. Let q(h) = m(h) + 4*z(h). What is q(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = s + v - 91, 2*v = 2. Let q = s - 104. What is the greatest common factor of q and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*d**2 - 23*d**2 + 17 + 2 - 2*d)*(-3 - 3 - 1).\nAnswer: -28*d**2 + 14*d - 133","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3b9 (base 15) to base 8\nAnswer: -1521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 18 = k, 5*a = 5*k + 8 + 2. Suppose -a*s + 0 = -8. Is s + (0 - (-2 - 15)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11654147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.5 + 2. Let r = 0.27530465 - 0.77530469. Let u = r + c. Round u to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 67703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**3 + 0*x**2 + 0*x**2 + (-3*x + x + 3*x)*(2*x**2 - 7*x**2 + x**2) + (-2*x**2 + 3 - 3)*(24*x + 9*x + 4*x).\nAnswer: -77*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 6882*l - 61894. Determine q(9).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 507, -0.4, -6, 4, 0.9 in ascending order.\nAnswer: -6, -0.4, 0.9, 4, 507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*v - 38*v - 2*g = -6, 5*g - 28 = -4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5966566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9569 and 7.\nAnswer: 9569","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(300))**2.\nAnswer: 19200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z**5 + 83*z**4 + 326*z**3 + 591*z**2 + 468*z + 108 = 0. What is z?\nAnswer: -3, -2, -3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100 + -82 + -3 + 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-6 + (9 - 9) + -3 - 8).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-27805877)\/(-385) - 4\/70.\nAnswer: 72223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, u: 1, o: 1}. Give prob of picking 1 t and 1 u.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2280, 2, -421 in descending order.\nAnswer: 5, 2, -421, -2280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**5\/3 - 4150*w**4 - 8302*w**3 - 12454*w**2\/3.\nAnswer: 2*w**2*(w - 6227)*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 1\/401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**2 - 6 + 2*y**2 + 6.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*f + 7*p - 189590 = -190736, 3*p = -3*f - 141 for f.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 3224?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 22877000 to the nearest one million.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22113\/42)\/39*20\/(-6).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - u - 1. Let v(j) = -7*j**2 + 6*j + 6. Let x(f) = 6*a(f) + v(f). Let s(y) be the first derivative of 3*y**2\/2 - 2. Give x(s(d)).\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -422032443 (base 5) in base 16?\nAnswer: -1abcb8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12293 is divided by 1002.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 229\/(6412\/(-48))*7\/(-5).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - h**2 + h + 18. Let l be a(0). Let q = l - -19. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 12:46 PM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -943205 - 16.36\nAnswer: -943221.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5002.94261 - -5003. Round d to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b4b288 (base 12) to base 2\nAnswer: -10110001110001111001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3710 + 3704. Put g, -25, 0.2 in ascending order.\nAnswer: -25, g, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1445902194?\nAnswer: 2, 3, 11, 4481, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-35))\/((-1)\/((-50)\/(-10))).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + t = 0. Suppose t = 2*p - p. Suppose p = -2*c + 8 + 12. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0.052 (c) 306116\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 + 31. Which is smaller: a or -1\/11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133.0778 rounded to zero decimal places?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 753 - 2604 = 3*c, -3069 = -5*x + c. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0492790159 to 3 dps.\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 5:56 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -84346 + 0?\nAnswer: -84346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i - 4. Let g(r) = r - 1. Calculate 2*g(n) - l(n).\nAnswer: -4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1136, -3, -5, 3 in ascending order.\nAnswer: -5, -3, 3, 1136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2209 - 2203. Is 128 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 721 take away -5788182?\nAnswer: 5788903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 48\/100663283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4710 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (551 - 3)*7\/7. Let c = 595 - o. What is the remainder when c is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -1262*a + 1259*a. What is the smallest common multiple of a and (-250)\/(-4) + 3\/6?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.1, 63186, -5, -1 in decreasing order.\nAnswer: 63186, 1, -0.1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 4*f**3 + 6548*f**2 + 2643392*f - 29874944 = 0.\nAnswer: -824, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*z**2 - 34*z**5 - z**4 - 163*z - 2 - 3*z**4 + 18*z**5 - 2*z**2 wrt z.\nAnswer: -320*z**3 - 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3213, 7119, 11025, 14931?\nAnswer: 18837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, -21, 133, -4\/5, 14, -0.3?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -131?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s**(-8)*s)\/s))\/((s\/((s**(-6)\/s)\/s))\/s) assuming s is positive.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 5*g**2 + 2. Let j be u(5). Suppose 0 = -j*o + 1 + 1. Put o, 3, 4 in decreasing order.\nAnswer: 4, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 532180.6l?\nAnswer: 532180600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 2. Let l be u(0). Solve l = 2*k - 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006236 - 0.6?\nAnswer: -0.606236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -5*r**2\/2 + 10*r - 6. Let b be m(5). List the prime factors of (19 + 1)*b\/(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 1, 3, 0.3, -745?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -964*g**4 + 18*g**2 - 2*g - 6. Let q(s) = -5785*s**4 + 108*s**2 - 11*s - 38. Let d(o) = -6*q(o) + 38*v(o). Find the third derivative of d(p) wrt p.\nAnswer: -46128*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from umzke. What is prob of picking 1 k and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 9*g**2 + g + 2. Let c be m(-2). Let t = -107 - -76. Let r = t + c. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.7 + -13. Let f = -6 - -5.7. Let v = f - d. Is v >= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 2*u - 2. Let f be (-19)\/7 + (-6)\/u. What is the third biggest value in f, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10661?\nAnswer: 7, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 - 2*a**2 + 0*a**2)*(31 - 21 + 43 + (3 - 4 + 2)*(6 - 3 - 2)).\nAnswer: -162*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1226162, 1226161, 1226160, 1226159?\n\"Answer: -p + 1226163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + 2 + (3 - 11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(96\/(-712))*(1 + 12 - (-212 + 224)).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 4:35 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t**2 + 23*t - 5. What is b(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**4\/78 + 20*o**3\/3 + 789*o**2\/13 + 71*o. Determine s so that b(s) = 0.\nAnswer: -3, 263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4\/5 (b) -1\/81 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -s + 4*s. What is the smallest common multiple of s and (-4)\/(-26) + 126\/26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11502 + 1153?\nAnswer: -10305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (39\/(-4))\/(66\/(-880)). Suppose 2*m = j + 120. Let g = 456 - m. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i + i - 436*i**2 - 5*i.\nAnswer: -436*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8465581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -11*r + 30. Let l(y) = -y**3 + 9*y**2 - y + 4. Give l(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2077 by -25306.\nAnswer: -2077\/25306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 5 (b) 2 (c) 1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 5988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a week in hours?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, -0.04, -0.2, 1\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 529\/25 - 21. Is -1 >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**22\/(r**(7\/2)*r))\/(r**(-2)*r*r*r\/(r**13\/r*r)) assuming r is positive.\nAnswer: r**(59\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 40*x - 1. Let v be b(1). Let c = 8 + -5. Suppose 4*h + c = v. Calculate the remainder when 26 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -15 + -24 + 20.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-99 - -100) + 2 + (2 - 20)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4)*(26 + 2704\/(-117))\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -17*z + 2040. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 = -2*w - 88 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 + 216010*i**2 - 2243071580*i - 1961269345800.\nAnswer: -5*(i - 22006)**2*(i + 810)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 179494, 359063, 538632, 718201, 897770?\nAnswer: 1077339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1230227 is divided by 615112.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 156 + -173. Let b = 34008.237 + -34025.237009. Let a = g - b. Round a to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -76, -33, 28, 113, 228, 379?\nAnswer: 572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 3*m + 64, 0 = -3*j + 6*j - 2*m - 47. Suppose -o = -j + 8. Solve -o*w = s + 8, -s + 0*s = -2*w + 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 11*u - 7*u - 228 = 0, -4*n + 6*u = -304. Calculate the remainder when n is divided by 72.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2272 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36992 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -190, -397, -612, -841, -1090, -1365, -1672?\n\"Answer: -f**3 + 2*f**2 - 206*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 21*t - 1. Let y be v(-4). Let z = 439 + -208. Let u = y + z. List the prime factors of u.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-57)\/(-19))\/(3\/(-9)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 10*l - 6. Let h be v(3). Suppose 0 = -19*i + h*i - 155. Let q = i - 9. Calculate the least common multiple of q and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/18)\/(5\/((-180)\/(-24)))*(-180)\/2.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-14) - ((-7)\/(-2) + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3705310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161 = 1113*l - 1120*l for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ono when three letters picked without replacement from {o: 4, h: 4, n: 3, g: 3, p: 2}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 186996?\nAnswer: 1682964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-8 - -15) - 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 + 4062470*a + 825183125045.\nAnswer: 5*(a + 406247)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 1.3, -0.5, 2\/17, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 97538646?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 540, 0.2, -7366 in increasing order.\nAnswer: -7366, 0.2, 540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*u - 8. Let w(k) = 10*k - 2*k**u + 6*k**2 + 2 - 4*k - 3*k**2. Give w(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*p**2*w**6 + 218*p**2*w**3 + 17*p**2*w - 6*p*w**2 - 1 wrt w?\nAnswer: 2760*p**2*w**3 + 1308*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-4)*32\/72)\/((-645)\/(-130) - 5).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12934352 to the power of 1\/2, to the nearest integer?\nAnswer: 3596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 765.0613452 rounded to two dps?\nAnswer: 765.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 815908?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -6, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2560 and 12700.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 10*z = 300. What is the smallest common multiple of 30 and 3 + ((-3)\/6 - z\/(-8))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 24*s**4\/5 + 2972*s**3\/5 + 5168*s**2\/5 - 24368*s\/5 + 3904\/5 = 0.\nAnswer: -122, -4, 1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-34)\/(-119))*(12 + 2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 921 = -0*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (((sqrt(704) - sqrt(704)*1)*5 - (6*-1*sqrt(704) - sqrt(704))) + (sqrt(704) + (sqrt(704)*2 + sqrt(704))*-3)*-1)**2)*1.\nAnswer: 158398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 124 = -4*x - 3*q, -5*x - 144 = 4*q. Is x less than or equal to -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1239*p + 124*p + 759*p.\nAnswer: 2122*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n + 7*n - 4*k + 16 = 0, -3*k = -n + 3*n - 11 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1129889?\nAnswer: 1129889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*k - 72 = -26*k. Let g(a) = a**3 - 7*a**2 + 7*a + 2. Let s be g(5). Let y = s - k. Calculate the remainder when y is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 11 = 5*p, 19 = 5*a - 0*a - p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52390 is divided by 26189.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*o**3 - 13418*o**2 + 4*o + 57396500 wrt o.\nAnswer: 78*o**2 - 26836*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1218 and 2.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(363) - sqrt(363))*3 - (sqrt(363) + 0 - sqrt(363))*-3)**2.\nAnswer: 13068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(6912)*-2 + sqrt(6912) - sqrt(6912)) + sqrt(6912) + sqrt(6912))**2 + (sqrt(432) - (2 + sqrt(432)) - (sqrt(12)*-1 + sqrt(12))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*c**2*g*p**4 - c**2*g*p - c**2 + 8*c*g*p - 14*g*p**5 + 2*g*p wrt p.\nAnswer: 72*c**2*g*p**2 - 280*g*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mn when two letters picked without replacement from {f: 1, o: 1, m: 2, i: 1, n: 14}?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -859*u**7\/42 + 2891*u**3\/6 - 9*u**2 - 26*u. Differentiate y(b) with respect to b.\nAnswer: -17180*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/68 and 25\/24.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10785957 and 819.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 3, -407?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = k + 1. Let f(b) = -b - 9. Let m be f(k). What are the prime factors of (-256 - -4)\/(-4) - m?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -1126048?\nAnswer: -1126049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -125 by 25.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + 8 + (3 - 69).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/5)\/h**(1\/5))**(-9\/4)*((((h**3\/h)\/h)\/h)**(-2\/91))**21 assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 34*k**2 + 35*k + 3. Let f be h(35). Solve f*l + 3 = -6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19819 - -41717.\nAnswer: 21898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -10. Suppose a - 19 = -x*u, -3*u - a = -4*a - 39. What is the units digit of (-6)\/4*u\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110001010011010011000 (base 2) in base 5?\nAnswer: -403144022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 103751071 to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 + 197*g + 4467. What is r(-63)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5599 (base 10) to base 16.\nAnswer: -15df","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 22 + (-8 - (11 - 19)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/7 (b) -29\/6 (c) -0.2 (d) 3\/2 (e) -4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 565 divided by -113\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 216616*t. Let q(w) = -11*w**2. Give h(q(r)).\nAnswer: -2382776*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c - 19*c = 12. Let s be -14*(27\/c)\/(-9). Solve -5*h + 6 - 19 = p, 2*h + s = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1422?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1) + 0 + 6\/10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -67*z**5\/5 + z**3\/3 - 393*z**2\/2 - 139. Find the second derivative of x(w) wrt w.\nAnswer: -804*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2730 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/6)\/((-463)\/2778)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.042 - -107.042. Let m = 104 - w. What is the closest to -0.2 in -1\/2, m, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -2)\/((-14)\/(-1176)). Does 2 divide (-4662)\/w*(-8)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2949753 take away 19?\nAnswer: 2949734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (26598\/(-104))\/(3\/(-12)) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4284 - -116?\nAnswer: -4168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*k + 9 + 63. Suppose w + h - 108004 = 0, -k*h + 324016 = 3*w - 4*h. What is w rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 4*h**2 + 7*h - 221. Determine d(-6).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46\/11*180\/((-61200)\/374).\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**4 + 8892*h**3 + 277875*h**2 + 1977456*h - 2264220 = 0.\nAnswer: -18, -14, 1, 2995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 360056.61 minutes in days?\nAnswer: 250.0393125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 185274594 and 16?\nAnswer: 1482196752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least as big as 3707178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10008769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21254 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1178, 1122, 1066, 1010, 954, 898?\nAnswer: 842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 339, -0.7, 2, 0.6, 3\/2, 4, -4 in descending order.\nAnswer: 339, 4, 2, 3\/2, 0.6, -0.7, -4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 660938171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*m*o**4 - 267*m*o**3 + 2*m*o**2 - 5*m*o - 376*o wrt o.\nAnswer: -36*m*o**2 - 1602*m*o + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7229 * 0.02.\nAnswer: 144.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13377*a**2*b**4 - a**2 + 17*a*b - 2*b**4 + 23*b wrt b?\nAnswer: -160524*a**2*b**2 - 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 296*q**3 - 4226*q**2 - 7*q + 7*q + 4066*q**2 wrt q?\nAnswer: 1776","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 94 + -100 - (-22 + 1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 339915 divided by 5?\nAnswer: 67983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/10 of a millisecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 4944.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 56670, 141, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/(1 - -8 - 10). Suppose -3*l = 6, 0*l = -h - 4*l + 212. What is the highest common factor of p and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a decade in years?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 8*m - 3. Let f be a(6). Let o be (-3 + 0)*10\/f. Solve -4*w = i + o, 5*i + w - 6 = 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 1308.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7886\/3 + 37697\/12. Let l = 513 - u. Find x, given that -l*x**5 + 0*x**2 + 0 + 0*x**4 - 1\/4*x + 1\/2*x**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -363 * 771\nAnswer: -279873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4136 and 1584.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**6\/30 + x**5\/10 - 3*x. Factor h(z).\nAnswer: -z**3*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**4\/5 - 4*w**3\/5 - 8*w**2 - 48*w\/5 = 0.\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2))**(12\/13)*v**1*v*v**2*v assuming v is positive.\nAnswer: v**(41\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 394589, 394709, 394827, 394943, 395057?\n\"Answer: -g**2 + 123*g + 394467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-1)*(-7)\/4. Let y = r + 2. Calculate the remainder when 59 is divided by (19 - -1)*(-4 - y).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268025779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-32) + (-2)\/(-72). What is the closest to 1\/3 in 7\/8, 0.2, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -71*r**3 + 6*r**2 - 6*r. Let i(h) = -852*h**3 + 71*h**2 - 71*h. What is -6*i(n) + 71*o(n)?\nAnswer: 71*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (610\/915)\/((-1)\/(-2 + 14))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 67*g**2 + 279*g - 141. Calculate i(-71).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 572 is divided by 82?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*o + 359*o + 1933 + 4052 = 0. Which is the closest to 0? (a) 0.56 (b) 0.5 (c) -1\/9 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11435690929 and 1.44?\nAnswer: 11435690930.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22128550699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5976*m - 2422.\nAnswer: -5976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -21, -36, -69, -126, -213?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/((l*l**(-2\/7)\/l)\/l)*l)*l*l**(6\/5)*l*(l**(1\/19)*l)\/(l**(5\/2)\/l))**47 assuming l is positive.\nAnswer: l**(29187\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4*v - 2698 = 0, 0 = -2*q - 0*v - 3*v + 1082. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -20184, 0.07, 9?\nAnswer: -20184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -400, -1170, -2462, -4384?\nAnswer: -7044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 3*g + 420, 304 = 4*i - g - 3*g. Does 27 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -15. Let x(w) = w**2 + w. Let l(u) = u**3 + 7*u**2 - 9*u - 4. Let c(q) = l(q) + 3*x(q). Let j be c(b). What is j rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 - 25. Suppose -1 + 41 = m*h. Suppose h - 40 = -4*p. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 11*m**3 + 6*m**2 + 2*m + 3. Let z(k) = -34*k**3 - 17*k**2 - 6*k - 13. Give 17*w(f) + 6*z(f).\nAnswer: -17*f**3 - 2*f - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -216874731535 less than 39?\nAnswer: 216874731574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 368101678.\nAnswer: 2, 7, 37, 710621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 - 17*c + 4*c**2 + 2481 - 2*c**2 - 6*c**2.\nAnswer: -2*c**2 - 17*c + 2481","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/164565 and 43\/3408165.\nAnswer: 235163385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - 4660\/(-180)) + (-5040)\/(-162)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3021 divide 615496025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*z + 5 = 0, -44*f - 4*z = -39*f + 25. Which is the second biggest value? (a) f (b) 2\/3 (c) 5 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -1015*y + 7243. Determine n(7).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/7, -99, 3, 6075?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/3)*i*i)**48*(i**(1\/5)\/i)\/i**(-4) assuming i is positive.\nAnswer: i**(416\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 9*b = -16*b - 4*l + 42, 0 = 2*b + l - 36 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -880*p = -882*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*v**2 + 69*v**2 + 19*v**3.\nAnswer: 19*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/113 and -8\/3.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1633831 and 174?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fov when three letters picked without replacement from vdvcogdofvco.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9365*y**2 - 2*y + 55975?\nAnswer: -18730*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33376 is divided by 105.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13205 and 7085803.\nAnswer: 2641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -8. Suppose 49 + 89 = 5*d + 3*g, 12 = -f*g. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 5*u**4\/24 - 7*u**3\/6 + 7*u**2 - 64*u. Give v(-13).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 23 - 1\/10*i**2 + 0*i + 1\/15*i**3. Suppose k(w) = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20198 + -20197.9994617. What is s rounded to six dps?\nAnswer: 0.000538","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 60, -14, 16, -6 in decreasing order.\nAnswer: 60, 51, 16, -6, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86 - 68. Solve -15 = 3*q - 3*y, -5*q + 4*y - 2 = j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 5, 961 in decreasing order.\nAnswer: 961, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 - 3)*(4*h - 3*h + 0*h) - 2*h + 2 - 2 + h - 2 + 2 + 0*h + 8*h - 2*h)*(-72 + 73 - 77*h + 49).\nAnswer: -231*h**2 + 150*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 0 - 11*r**3 + 0 - 5*r + 7 + 2 + 5*r**2. Let s(h) = 5*h**3 - 2*h**2 + 2*h - 4. Let y(g) = -2*i(g) - 5*s(g). Differentiate y(a) with respect to a.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(7)*2*2.\nAnswer: 3 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 31*n + 76. What is t(34)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 3:25 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/6)\/((42\/9)\/(-7)). Let u(j) be the first derivative of 0*j + 0*j**2 + 10 - 21\/4*j**4 + 7\/2*j**6 + 6\/5*j**5 - g*j**3. Suppose u(l) = 0. What is l?\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 2:25 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 1:52 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - h = 8. Suppose -g = -h*g + 6*g. Solve o + o = g for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1869 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71755 divided by -14351.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7743149671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*l - 8*d + 4*d, 0 = -2*d for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -167 - -3505\/21. Let z = 11 + -7. Let p = 3.8 - z. What is the biggest value in q, 0.5, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 5 = 2*h, -1695*h + 3 = -1692*h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2755 is divided by 792.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 5*s - 3, -o - 94*s + 97*s + 5 = 0. Let f be -1 - 2 - (-3 - -1). Sort -3, f, o in increasing order.\nAnswer: -3, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*s - 3. Let l be (9976\/(-6) - s)*-26700. Round l to the nearest 1000000.\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29999133 is divided by 247?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 6116132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -402 = s - 3*s - r, -3*s + 2*r + 589 = 0. Suppose -p - 3*y = -6*p + 497, 2*p - y = s. What is the greatest common factor of 20 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 96*h - 97*h - 4*z + 32, -4*h - 3*z + 24 = 0. Solve h = 5*d + 5*f + 40, -7*d - 3*f + 16 = -12*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/8*(-119 + -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4 + 2. Solve -5*w = 2*q + q + 19, -23 = p*w - 4*q for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yg when two letters picked without replacement from {g: 4, y: 1, d: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 11:03 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 7:56 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32683 - 11*t**2 - 32431 + 3*t**2 to the form j*t**2 + w*t + k and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five quarters of a second?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 4*y - 3. Let m(f) = -4*f**2 - 5*f - 4. Let j be m(-2). Let n be 6\/(-4) - 65\/j. Suppose n*p + 8 + 12 = 0. Give t(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w - 2. Let x be ((-1236)\/(-6))\/(2\/(-1)). Let k = 105 + x. Determine y(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/4 - (-2 + -17) - -2. Solve -8*l + 14*l = s for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + g - 8 = 0, 0 = 2*y - g + 10 - 4. Let w be y\/(-4) + (-99)\/(-18). Solve 0 = 3*k - k + w for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4297112282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 350610 divided by 3.\nAnswer: 116870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1189 - 1186) + (-8)\/((-48)\/(-18))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 107587 and 1355.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-549)\/(-12) + (-15)\/20. Let r = -9 + 11. Differentiate -50 + b - r*w**4 + w**4 wrt w.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-31)\/(-11) + (-8)\/(-44). Suppose 0 = -4*z - j + 61, 2*z - j - v*j = 44. What are the prime factors of 22\/(-8)*z\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 r, and 2 o when four letters picked without replacement from {u: 2, o: 3, r: 5, b: 1, z: 6}?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24207\/3890 + -30\/389. Suppose -32*z + 37*z + 10 = 0. What is the common denominator of (-27)\/8 - (4 + z + 1) and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 561156 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1737 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4307 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 4*k**2 - k - 1. Let z be ((-4)\/8)\/((-3)\/(-18)). Let w be x(z). Let u = w + 23. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 - 47 + 27*h**3 + 65 + 48*h**2 + 18*h + 39*h + 15*h**2 - 2*h**4.\nAnswer: 3*(h + 1)**3*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z**3 + 10*z**2 + 32*z + 8 = 0.\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 26307190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 937396?\nAnswer: 2, 29, 8081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 14*s**2 - 9*s - 12. Determine a(14).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - -5*3*sqrt(91))\/(sqrt(343)*3) - ((0 + (1 + sqrt(117))**2)*-5 + 1).\nAnswer: 646*sqrt(13)\/21 + 589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (-3 + -2)*-1. Let o(s) = -s**2 + 16*s + 31. Let t be o(18). Sort i, 8, t.\nAnswer: t, i, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29241313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.698 rounded to 1 decimal place?\nAnswer: -16.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1163600586 to the nearest integer?\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-111)\/(-12) + (-37)\/148. Suppose 532 - 478 = k*i. Solve x + x = i for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*p + 4537 + 8154 - 2700 = -1859 for p.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 2) + 3*24\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - t = -64, -212*l - 210 = -419*l + 205*l - 5*t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-671)\/(-77) - (-33)\/(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70355997 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 11 = 2*m - 15, -5*m + 10 = -3*n. Let f be -6*(-3)\/(-6) + 16. Let u = f + -12. Solve -j + n = -u for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(891)*2)**2.\nAnswer: 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*k = 2, 3*f + f = 3*k - 2. Let n = 286 + -287. Which is the nearest to 2\/3? (a) f (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -460 - -471. Suppose -2*p - 10 = 0, 0*p + b = y - p. Solve -2*x = -6*w + w + 10, 3*w = -3*x + y for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/10 - 18\/30. Let l(u) = 3*u**2 - 2*u + 6. Let z be l(3). Let c = z + k. What is the least common multiple of c and 2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 15 = -3*j, 3*n - 19*j + 12 = -20*j for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by (-6)\/(-4)*(-2494)\/(-87)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of y**6\/900 - y**5\/450 - y**4\/180 + y**3\/45 + y**2 + 4. Let o(c) be the second derivative of r(c). Factor o(j).\nAnswer: 2*(j - 1)**2*(j + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 810 and 11435013?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 518a5?\nAnswer: -518a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/56 - 58\/56. Let y = 3.1 + -3. Which is the nearest to -2? (a) w (b) -0.4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - 20. Let h = m + 38. Solve -h*q + 13 = 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or 18158\/715?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2236809 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -15051*n + 165574. Give t(11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8742, 35741, 80740, 143739, 224738?\nAnswer: 323737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -33\/28?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -417, -992, -1567, -2142, -2717?\n\"Answer: -575*u + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 7:44 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2847785*j - 2302177 wrt j?\nAnswer: -2847785","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2017821.\nAnswer: 3, 13, 31, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -17*t - 1492. What is j(-195)?\nAnswer: 1823","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49825*u**2*x + 109*u*x - 4*u - 2*x - 2 wrt u?\nAnswer: 99650*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70359 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 351 and 136573281?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 9:45 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 7*p**2 + p - 1. Let s = -126 - -127. What is r(s)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50898493?\nAnswer: 17, 67, 44687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a**3 + 0*a**3 - a**3)*(-2 + 1 + 2 + (-3 + 4 - 3)*(-2 - 3 + 2)*(4 - 1 - 7)) to w + v*a**3 + r*a**2 + x*a and give v.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, i: 11}. Give prob of picking 2 i and 2 p.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 33*v - 1110. Give q(21).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.542, 4, 1, 16, -0.1, -4 in decreasing order.\nAnswer: 16, 4, 1, 0, -0.1, -0.542, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 2*h + 14 = 0, -2*i - 20 = 2*i + 4*h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3509*m**2 + 2*m. Let j(g) = 70*g - 80. Let a(u) = 22*u - 25. Let t(d) = -16*a(d) + 5*j(d). Calculate h(t(y)).\nAnswer: -14036*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 112 = 5*i. Let u = i - 23. Factor u + 9*w**2 + 7 + 2*w**3 + 24*w - w**3.\nAnswer: (w + 1)*(w + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*b**6 + 34745149*b**5 + 464705367*b**2.\nAnswer: 600*b**3 + 2084708940*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 103 divided by -1\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + 5)*-1*(-20 + 3). Suppose 26 = 2*x - 5*c, -6*x + 22 = -5*x + 2*c. Calculate the highest common divisor of x and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k - 2. Let v be u(4). Suppose -5*a + 3*w = -35, v*w = a + 7*w + 21. Suppose 0 = -a*o - 3 + 23. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = q, 5*f + 72 = f + 4*q. Let a = f - -23. What is the highest common factor of a and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 15*j - 14*j + 3614*j**2 to the form y*j**2 + k + c*j and give y.\nAnswer: 3614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 67635575?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 24*r**2 - 38*r - 1. Let v(i) = -i**2. Calculate s(v(u)).\nAnswer: 24*u**4 + 38*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-2)*(-15 + 12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -3, -2, -4\/9, -5\/4, 222 in ascending order.\nAnswer: -3, -2, -5\/4, -4\/9, 3\/2, 222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + l**2. Let m(w) = -5*w**4 + 3*w**3 + 3*w**2 - 8*w. Let p(a) = 3*h(a) - m(a). What is the second derivative of p(k) wrt k?\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -48, -65, -80, -93, -104, -113?\n\"Answer: n**2 - 20*n - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-1)\/3 - -4.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 23*t**2 - t - 1. Suppose -7*f - 4 = -3*f. What is the remainder when k(f) is divided by (-1166)\/(-99) - 4\/(-18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*b + 4*g, 2*b - 4*g + 20 = 24 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m + 16. Let w = -10 - -16. Let u be o(w). Suppose -5*j - 3*f = -f - 18, u*f - 4 = -2*j. Which is the closest to -0.1? (a) 0.5 (b) j (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2 = 0, 3*r + 47613992 = 4*s - 30986004. What is r rounded to the nearest 1000000?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183633*o**3 - 197812*o**3 + 18139*o**3.\nAnswer: -363306*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -11*w**2 + w. Let d(b) = -b**3 + 8*b**2 + 2*b - 8. Let f be (-12*1)\/(30\/(-20)). Let u be d(f). Let p = u + -9. Calculate y(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 1 - 5. Let r = h - 5. Let n = -7 - -4. Put n, 2, r in increasing order.\nAnswer: r, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 790461204.\nAnswer: 2, 3, 13, 1289, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/(-24))\/(6\/48*-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h + 4*h - h)*(8 - 5 + 28).\nAnswer: -93*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -1 - 17. What is the third biggest value in 2, t, 60?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19376 + -19336. Let y(c) be the third derivative of 0*c + 0 - 5\/2*c**3 + 5\/24*c**4 + f*c**2 + 1\/4*c**5 - 1\/24*c**6. Factor y(q).\nAnswer: -5*(q - 3)*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 10*r**2 + 9*r + 11. Let q be (-318)\/(-36) - (-1)\/6. What is the remainder when 18 is divided by p(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4074352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34266, -68432, -102488, -136434?\nAnswer: -170270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 31354553*h. Let p(v) = 5*v**2. Calculate n(p(w)).\nAnswer: 156772765*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20246 + 12508 - 3800 - 25916 - 36136 + 4306)*(-2*t**3 + 0*t + 0*t) in the form s*t + x + z*t**2 + p*t**3 and give p.\nAnswer: 138568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 809 + -808.9. What is the nearest to -1 in 3, -1, s, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 5*w**2 - 3. Let r be k(5). Let g = -58 - -60. Let v = -16 - -11. Sort g, r, v in descending order.\nAnswer: g, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -354*g + 13696. Give l(30).\nAnswer: 3076","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/21 of a week?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -1. Let i(j) be the second derivative of -j**3\/3 - 5*j**2\/2 - 8*j. What is -i(p) + q(p)?\nAnswer: 2*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - (-5 + 198\/45))*5. Solve 4*o = 4*a - 0*a, 32 = u*a + 5*o for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10090\/13 - -30244\/39. Let h = 4 - 9. Let p = 0.1 - 0.5. What is the closest to 0.03 in h, p, d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**3\/9 + 134*l**2\/9 - 2040*l = 0.\nAnswer: -135, 0, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3797*z - 4*a = -3795*z + 14, 0 = 2*z - 2*a - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(91) + 2*sqrt(91)))\/(sqrt(7) + 6*(sqrt(35)\/sqrt(5) - sqrt(7))) + 2 + (1*sqrt(91)\/(sqrt(7) - -4*sqrt(42)\/sqrt(6)))**2.\nAnswer: -18*sqrt(13) + 63\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 406?\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 46657304?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j - 958 = 1014. Which is smaller: 118 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -94368, -94278, -94128, -93918, -93648, -93318, -92928?\n\"Answer: 30*j**2 - 94398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 4:32 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -37*o + 38*o. Factor -4\/9*b - 2\/9 - 2\/9*b**o.\nAnswer: -2*(b + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/15 + 417424*u\/15 - 21780349472\/15.\nAnswer: -2*(u - 104356)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15942935 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 9 = 249. Let o = -25 - n. Calculate the smallest common multiple of o and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, -2\/5, 0.3, 0, 4.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence esf when three letters picked without replacement from {w: 5, s: 3, g: 6, f: 3, e: 1}.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**2 - 14380*z - 568425 = 0.\nAnswer: -39, 2915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -21458*n + 150200. What is w(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316 - 46 = 2*l + 4*x, -4*l = -5*x + 685. Let j be (-2)\/11 - l\/55. Suppose -j*d - 24 = -369. Calculate the greatest common divisor of 23 and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (59412\/14)\/((-1650)\/(-5775))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -230\/7 and -34 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 + 1257. Let a(o) = 2*o**2 + 30*o. Calculate a(i(w)).\nAnswer: 8*w**4 - 10116*w**2 + 3197808","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1128 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3948 and 6909?\nAnswer: 27636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35945.00003125 + 35945. What is v rounded to 7 dps?\nAnswer: -0.0000313","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b - 12 = 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15182609 to the power of 1\/3, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhh. What is prob of picking 4 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, 67716, -5 in decreasing order.\nAnswer: 67716, -5, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1490 + -1490. Let v(x) be the third derivative of -2*x**2 + 0*x**5 + 0*x**4 + 0*x**6 + 0 - 1\/10*x**7 + z*x - 1\/3*x**3. Differentiate v(u) wrt u.\nAnswer: -84*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5250240 + -35?\nAnswer: -5250315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 9*q**2 - 6*q + 8. Let j(c) = 2*c**2 + 26*c - 57. Let t be j(-15). Calculate the remainder when 214 is divided by z(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3360 and 52710?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28633.054231 + -0.054231. Let l = -28624.9983 + y. Let c = l - 8. Round c to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1092467 and 1654?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 703531957 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*x + 7. Let f = -346 - -345.8. Which is the second biggest value? (a) 1\/2 (b) f (c) -4 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*k = -33*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-33))\/((-336)\/924)*-620*6\/(-5)\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 844602110?\nAnswer: 2, 5, 11, 59, 181, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 9*q**6\/40 - q**4\/12 - 208*q**3 + 28*q**2. Find the first derivative of t(d) wrt d.\nAnswer: 81*d**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.519457 millennia to years.\nAnswer: 7519.457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 3. Find the second derivative of -j**4 - 4*j - 2*j + t*j wrt j.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w + 32*w - 45 = 0. Suppose -2*r + 4*r = 4. Calculate the greatest common factor of r and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000447119 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -54512712*b**3 - 33008*b**2 - 16504*b + 330080. Let d(x) = 16514*x**3 + 10*x**2 + 5*x - 100. Determine 16504*d(o) + 5*t(o).\nAnswer: -16504*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1647 = -45150*z + 45333*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/120)\/2*-9.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8593 + 26135. List the prime factors of f.\nAnswer: 2, 3, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254079 is divided by 28231.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*k + 39*k + 70 = 0 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 1922?\nAnswer: 5766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -28. Let r be 2\/2 + 21\/s. Let g = 0 + -1. Is r less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**3 + 6*f**2 + 16*f - 12. Let r be g(-4). Let u = r - -446. What is the remainder when u is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*z + 2 = 4, -4*p = 3*z - 14. Suppose f + p*f = -15. Let w be ((-41)\/(-4))\/(f\/(-20)). What is w rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**4 + 3082*j**3 - 132064*j**2 + 491336*j - 479040 = 0. What is j?\nAnswer: 2, 40, 1497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -6, 5, 1, 1762, 3 in descending order.\nAnswer: 1762, 5, 3, 1, -6, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/3)*n)**(1\/3)*(n**(-1\/2))**24 assuming n is positive.\nAnswer: n**(-101\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35450514 (base 6) to base 3.\nAnswer: 2002102211001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -219505 (base 12) to base 4\nAnswer: -2002202111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**2 - 51050*c - 651525625 = 0?\nAnswer: -25525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -14, 3, 0.3, -2\/13, -0.3 in ascending order.\nAnswer: -14, -0.3, -2\/13, 0.3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = s, 4*o - s + 4*s = -73. Let v = o - -19. Solve -a + v = -2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.06*0.3.\nAnswer: -0.318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33 + -344005440?\nAnswer: -344005403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.09*0.53\nAnswer: 0.0477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*y**2\/11 - 92*y\/11 - 96\/11 = 0. What is y?\nAnswer: -8, -6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227335 is divided by 83?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - 93786\/(-18))\/(1\/576). What is o rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -63*q + 1. Let m be a(-2). Let z = -1550 + m. Let b = -732 - z. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10426 - 129*v + 263*v + 5213 - 132*v + 5213.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -2) + 11 + 12\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 4750857 = -3*c, 2*c - 1796655 = 2*o + 1370577. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -284654, -284665, -284676, -284687, -284698, -284709?\nAnswer: -284720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-7 - 5) + 2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*p + 184*p + 245*p - 1107. Sort 2, 1, 0, p, -2 in ascending order.\nAnswer: -2, 0, 1, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 3:06 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**24*o*o**(13\/3)\/o*o\/(o**(1\/8)*o)*o**(-2\/7) assuming o is positive.\nAnswer: o**(4859\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000317263 rounded to seven dps?\nAnswer: -0.0000317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000275392 to 7 decimal places.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*-1*-3)**2*1.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 80 * -0.6\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20577 = 3*n + 3*t, 2*n - 13738 = -t + 4*t. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001842235 rounded to 5 decimal places?\nAnswer: -0.00184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.2, -1\/3, 59, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**3 - 8*j**2 + 6*j + 1. Let w be l(5). Suppose 167*z = 223*z - 4480. Are w and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 7*t - 2. Let c be 6\/1*(-4)\/t. Solve -c*d - 5 = 11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 13, p: 1, q: 1}. Give prob of sequence epq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1299*g + 5*g**2 - 1299*g.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - 27 - 38 - -23?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -13267*w**4\/12 - 6628*w**3\/3 - 12471*w. What is the second derivative of g(u) wrt u?\nAnswer: -26534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/7175 and -39\/19250.\nAnswer: 789250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 4.531.\nAnswer: -1.8124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) - sqrt(136)*-1)\/sqrt(8) + 2.\nAnswer: 2 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 328172 * 2.\nAnswer: 656344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159*(-234)\/(-8268) - 1\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.2867 and -162?\nAnswer: -370.4454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - 168\/(-12) - 8\/(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, q: 12}. What is prob of sequence qy?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from 0.32.\nAnswer: -5.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3817 divided by 27\nAnswer: 3817\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6514.88 + 844.\nAnswer: -5670.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -4944 at least -4622?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11\/126 - -1\/18. Let q = 466 - 471. Which is the smallest value? (a) q (b) 11\/3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/2, 1, 0.05, 0?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2504521 is divided by 27826?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3558 = -u + m, 8*m - 4*m + 10677 = 3*u. Let l be u\/75 + 4\/(-10). Suppose -5*h = -13 - l. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(85)\/sqrt(5) + -2.\nAnswer: 3 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -c, 7*c = -4*i + 12*c + 16. Let a be ((-78)\/(-130))\/(i\/60). Solve 0 = 4*z + 3*t + t, -2*z + a*t + 30 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n + 1. Let j(o) = -2. Determine -5*j(l) - 5*v(l).\nAnswer: -15*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1810)\/(-190) - 7\/((-7)\/(-4)). Is 7 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 + (0 - (-8 + 1 - (-96 + 92)) - 4).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (13 - (4 - -11))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-1)\/(12\/9))\/((-95795)\/(-95800) + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -210, -202, -188, -168?\n\"Answer: 3*o**2 - o - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.24 - 1.24. Which is the third biggest value? (a) -0.1 (b) o (c) -9\/7 (d) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 7*a - 17 + 49*a as h*a + w and give h.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a - 3*h = -1273 + 419, 3*a - 62 = 4*a + 5*h - 4*h for a.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zkzzzk. Give prob of picking 3 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 1750\/126)*3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1474212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63 + 53 - 9 + 3*q)*(1 - 4 + 1)*(-3 + 5 - 1).\nAnswer: -6*q - 214","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 - 10 = -2*t. Let o = -16 - t. Solve -5*m - 3 = o*l + 2, -m = -l - 9 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3 = -2*o, -3*l + 2*l = o + 3. Suppose -5*x - k + 85 = 4*k, -5*x + 5*k + 35 = o. What is the lowest common multiple of x and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1054 + 1067. Solve -i = -3*f - p, -3*f = i + 2 + 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.3 + 17.3. Let m = z + -12. Let a = -1.2 + 0.2. What is the nearest to 0 in a, -2\/17, m?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 443, 438, 411, 362, 291, 198?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 20*w**2 - 2*w + 41. Let k = -7346 - -7366. Calculate h(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.45 + 0.45. Let j = 279 + -282. Let h = 45 - 673\/15. What is the nearest to j in 0.1, h, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -215.7 and 160.6.\nAnswer: -34641.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4970 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - z**2 - z**2)*(1 - 5 + 3)*(5*z + z - 3*z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.83 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5908235 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 121757 - 51659. Is j a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13953 divided by -156\nAnswer: -4651\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 2\/123, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 22.2. What is the closest to h in -30, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -72 + 24?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f - 4. Let p be k(5). Let s(y) = y**3 + 10*y**2 + 9*y + 5. Let g be s(p). Sort -1, 4, g.\nAnswer: -1, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*t + 4*t - 5*t = 108 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2064*d**2*l**3 - 4*d**2*l*m**2 + 19712*d*l**2*m + l**3*m**2 - 2*l**3*m wrt d.\nAnswer: 4128*l**3 - 8*l*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 + -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 294070 and 56371.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 18. Let y be 3\/m + (-468)\/(-45). Let x = y + 17. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 114\/45*((-2253870)\/(-316))\/317?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36062*i**2 + 598484*i wrt i.\nAnswer: -72124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f. Let j(b) be the third derivative of 7*b**5\/12 - b**3\/6 + 17*b**2. Calculate m(j(o)).\nAnswer: 35*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 99*z**3 + 23662931*z**2 + 2*z**4 + 5 + 6*z - 23662931*z**2 + (3*z - 4*z + 0*z)*(-2*z**3 + 0*z + 0*z).\nAnswer: 4*z**4 + 99*z**3 + 6*z + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 1:11 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*sqrt(68))**2.\nAnswer: -3060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 935 is divided by 155.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -70\/3. Which is greater: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 683 by 683.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15953184*k - 4015 = -15953549*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**2 - 2*t - 1. Suppose 49 = -4*p - 4*y + 25, -2*y - 18 = 4*p. Determine v(p).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5062 - 1)\/(96\/(-2008)*5). Let b = p - 21178. Find the common denominator of -81\/2 and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 313, 301, 267, 199, 85?\n\"Answer: -2*v**3 + v**2 - v + 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2002)\/(-715) + (-8)\/10 + 1. Differentiate 20*d**3 - 122 + 117*d**i - 77*d**3 + 122*d**3 with respect to d.\nAnswer: 546*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*d + 11758 + 27830. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5a95 - -1?\nAnswer: -5a94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**2 + 91399632*y - 1044236591216928 = 0. What is y?\nAnswer: 22849908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 38955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -11, 2\/5, 5\/3 in descending order.\nAnswer: 4, 5\/3, 1, 2\/5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 4, x: 3, o: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gssllplansansss. What is prob of picking 1 s, 1 l, 1 p, and 1 g?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 5214?\nAnswer: 5212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 50327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13, 4\/3, 5, 0.119?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 126805 to the power of 1\/2, to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, z: 3, h: 13}. What is prob of picking 2 z and 1 h?\nAnswer: 13\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 688.\nAnswer: 3440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -149. Let n = -145.07 + i. Let j = -0.979 + n. Round j to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 94 = 56. Suppose h*t + 378 = 68*t. Let v = -19 - t. Does 17 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71669*z**3 + 2220*z**2 + 4*z - 2?\nAnswer: -430014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 - (-11 - -5))*-1. What is the closest to 0 in -11.8, -2\/3, 0.4, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 2. Suppose r = -g + 4. Is (g\/1 - -3)*3 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -290828*q**3 + 111167*q**2 wrt q?\nAnswer: -1744968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -617 (base 12) in base 10?\nAnswer: -883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 387 - -1420. Calculate the highest common factor of d and 278.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*r + 842 - 824 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 8*q + 5. Let g be k(-9). Let f(w) = -2*w - 7. Let m(u) = 3*u + 13. Let c(s) = g*m(s) - 7*f(s). Find the first derivative of c(x) wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65\/6 - 32\/3. Let q(y) be the first derivative of 0*y + x*y**4 - 1\/3*y**2 + 2\/9*y**3 + 4 - 2\/15*y**5. Let q(u) = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 9 - 2*d**3 + 185*d + 3*d**3 - 6 - 5 in the form q*d**2 + l + u*d + f*d**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 553 or -0.03?\nAnswer: 553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/12 and 109\/416.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by -38?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/3*(-10856)\/(-236).\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -8.46.\nAnswer: 2.538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2457 and 2613?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -922 - 768 = -31*w + 3*a, -2*w - a + 6*a = -85 for w.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 54, 87, 154, 267, 438, 679?\nAnswer: 1002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -469 + 4554. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000236859 rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 12 = -6*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 161165 to the power of 1\/2, to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 52*h - 57*h - 10, -8 = -2*v + 4*h for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14.99999967 + -15. What is h rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 74*j - 664. Calculate n(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7*(-16)\/(-56))\/(-2))\/(1\/(-7)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 126 and -0.28?\nAnswer: -35.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/4)*u*u*u\/(u*u*u\/u**7)*(u**(1\/4)\/u*u*u)**9)**(-6\/7) assuming u is positive.\nAnswer: u**(-114\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, -2\/3, 588, -2, -0.94, 4?\nAnswer: -0.94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 129*b**2 - 218*b**2 + 189*b**3 + 266*b**3 - 221*b**2 - 85*b**2 wrt b.\nAnswer: 2730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 9. Let v be 5\/(3 - -2)*1. What is the third smallest value in j, 5, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b + 1. Let m be w(-3). Let s be 2\/m*(-6)\/(-1). Let q(v) = v**3 + 3*v**2 + 3*v - 3. Let y(a) = 0 + a + 2*a**2 - 2 + a. Give s*y(d) - 2*q(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 z when three letters picked without replacement from ppppppzpppppppppzpp?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 2241\/11981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + 2)\/(3\/(-1)). Let o be ((-20)\/(-6))\/(16\/24). Suppose o*w = -5*v, -4*v + 0*w = w - 12. What is the nearest to 1 in -0.4, f, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26371008, -26371009, -26371010, -26371011, -26371012?\nAnswer: -26371013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 5.83 (c) 2\/7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1773638*c + 4269*c**2 - c**3 + 1773638*c - 4269*c**2.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -37? (a) 0.07 (b) 0.001 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1533734376 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.1 (b) -1\/2 (c) -2\/33 (d) 233\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -3. Let u = -803 - -1273. Suppose 3*a - i - 542 = f, -47 = -3*a - 4*i + u. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 39?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n**3 - n**2 - 2. Let k(x) = 92*x**3 - 3*x**2 - 10*x + 6. Let w(m) = -k(m) - 3*q(m). What is the third derivative of w(r) wrt r?\nAnswer: -462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 228.4622 centuries?\nAnswer: 22846.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 51521 - -1?\nAnswer: 51522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-385)\/70*(1 + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 n when two letters picked without replacement from {n: 11, j: 3}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 126676.\nAnswer: -50670.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.359306 kilometers?\nAnswer: 35930.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 767068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1867 + 2639. Is a a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -1, 2\/29.\nAnswer: -1, -0.7, 2\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-6)\/(-10)) + 6 + 51\/(-39)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13605156 by -73146.\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 4*w = 0. Let o(a) be the first derivative of w*a**5 - a**2 + a**4 + 0*a - 2 - 1\/3*a**6 + 0*a**3. Solve o(k) = 0 for k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((6 - -1) + -8)*3. What is the hundreds digit of -5 - (3 - (-1944)\/(-3) - j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 73 and -220503.\nAnswer: -220430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000847112035 to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 851270?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, v: 2, t: 3, i: 3}. Give prob of sequence iv.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)\/d**(-1\/6))\/(d**0\/d**(-3\/8))*(d*d**(-2\/11)*d*d**(-2\/5)*d)\/(d**0\/(d**(1\/2)\/d)) assuming d is positive.\nAnswer: d**(937\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82859671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112048 divided by -28012.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -71 - 60 + 208 + 2*r. What is the units digit of v(24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -695*j**2 - 5*j + 20. Let s be ((-2)\/5)\/(7\/210). Let a be h(s). What is a rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + (sqrt(1764)*-6)\/(-2*2*sqrt(12) + sqrt(12) - sqrt(12)))*-4*3.\nAnswer: -126*sqrt(3) - 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75803112 a multiple of 1694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.506784 - 0.7413.\nAnswer: -10.248084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 1)*((2*a - 4*a + a)*(a + 6*a + 0*a) + a - a**2 - a) as i*a**2 + b*a + n and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1590 (b) 0.3 (c) 9\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*1*(-14)\/7*585\/360?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1743.801 rounded to the nearest 10?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 16*r + 26. Calculate j(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*b + 52 + 4. Let d be b*1 + (-11)\/(88\/16). Solve -d*i + 0*i = -8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -81 - -b?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14304, 28615, 42926, 57237?\n\"Answer: 14311*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71738.39 nanograms to tonnes.\nAnswer: 0.00000000007173839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f*f**(-24))*f*f*f)*f**16\/f)\/(f**(-2))**(2\/103) assuming f is positive.\nAnswer: f**(-1129\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 b when four letters picked without replacement from {z: 3, f: 4, t: 2, x: 1, b: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*l**3 + 2*l**3 + l**3 + (3 + 5*l - 3 + (-1 + 0 + 3)*(l + 0 + 0))*(l**2 + l**2 + 7*l**2) + l + 2*l**3 - l.\nAnswer: 58*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (2 + 0 - 56\/8). Let y(h) = i*h - 4*h + 2*h**2 - 4*h**2. Let m(l) be the first derivative of -l**3\/3 - 1. Calculate y(m(p)).\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 581 and 2075?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((((sqrt(78)*-1*-2 + sqrt(78) - sqrt(78))*-1)\/((sqrt(726) - (2*sqrt(726) - sqrt(726))) + (sqrt(36)*-1)\/sqrt(6)))**2 + -1).\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 6:55 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 5*j + 9. Let c be b(8). Suppose 2*l + c = l. Let y = 50 - l. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 376958.6 hours?\nAnswer: 1357050960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -3, -8, -17540 in descending order.\nAnswer: -2, -3, -5, -8, -17540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4020 (base 5) to base 13.\nAnswer: -303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -140, -208, -252, -266, -244, -180?\n\"Answer: r**3 + 6*r**2 - 93*r - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/7))**24\/((j\/(j**(2\/7)*j))\/j)**22 assuming j is positive.\nAnswer: j**(246\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 105615.\nAnswer: 422460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48561 is divided by 2968.\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -882653 (base 12) in base 15?\nAnswer: -2ca41c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1050837564*y**3 + 405131*y**2 - 317*y?\nAnswer: -6305025384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24868 divided by 4?\nAnswer: 6217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1299*q - 11836. Determine z(-9).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.75 and 18311 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4530 = 10*s - 2230. Suppose -3*c - 2*o - 38 = -545, s = 4*c - 3*o. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - -11 - (7 + -3) - 6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -121, -279, -583, -1081, -1821, -2851, -4219?\nAnswer: -5973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0657 - 52715377884?\nAnswer: -52715377883.9343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 804387919\/1177 + -683422. Let y = -1\/107 + h. Which is the nearest to -9? (a) -0.5 (b) y (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*l. Let i be 6 + 7\/((-21)\/6). Suppose 16 = i*w - l*w. Let n(t) = 2*t**2 - 6*t + 3. Give n(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419*f = 5*g - 417*f + 24 - 52, 0 = -5*g - 4*f + 26 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/(r**(-1\/4)\/r))\/r*r)\/(r*r**14*r))\/(r*r*r**(-5\/8)\/r*r**(-1\/33)))**(9\/11) assuming r is positive.\nAnswer: r**(-11163\/968)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2 - 6 - 4*z - z**2 + 3. Let p be h(-3). Differentiate 1 - p - 2*u**3 + 3 wrt u.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - x - 2*x + (-7 + 4 + 1)*(-2*x + 3*x - 3*x))*(1 - 3 + 4)*(x + 0*x + x)*(-185*x + 158*x + 232*x).\nAnswer: 4920*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -1. Let j = -1 - k. What is the remainder when 3 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115*-0.46\nAnswer: 52.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + a + 255. Let v be (-2562)\/102 - 6\/a. Let z be v\/5 + 1 + -1. Let d(h) = -h - 9. Calculate d(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -27. Calculate the greatest common divisor of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -841 - 350255968.42?\nAnswer: -350256809.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -22*o**3\/3 - 13*o**2\/2 + 78*o. Let b = 2 - 6. Is t(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92558 > 92400?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jvjpjjjpmpvvvvppvpj. What is prob of sequence mjv?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2870533213 to the nearest integer?\nAnswer: 1421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -6.8. Let h = 0.5 - o. Which is the closest to 0.1? (a) -3 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**3 + 34*r**2 + 135*r - 1. Give d(-10).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24263101 is divided by 59?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dcrrrccrr. Give prob of picking 2 c.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.15 rounded to 0 decimal places?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + k + 14 = 0, -2*r - 5*k = -7*r + 10. Suppose -3*h + 6 = 5*y - 2*h, -3*y - r*h = 10. Solve -3*x - 7 = -4*i, y*x + 2*x + 10 = 5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 10*d**3 + 137*d**2 + 6*d + 34. Let k(w) = 3*w**3 + 46*w**2 + 2*w + 12. Give -6*g(t) + 17*k(t).\nAnswer: -9*t**3 - 40*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/14 - 836\/(-28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/346172 and 13\/12?\nAnswer: 1038516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 5. Let s = -1 + -3. Let w = -3 - s. Solve g*a = 3*a - w for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 937 + -932. Solve -4*w = -2*w - l*c - 26, 4*c + 16 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -17, 24949, -0.3?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 3*f + 2. Let w be r(4). Let k be (2 - -302)\/(w\/(-3)). Suppose 2*g = -4*b + k, 4*b - 4*g - 583 = -b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8888 and 1320?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 293031 and 6.\nAnswer: 586062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/2)\/(((-426825)\/420)\/(-271))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*k + 31*k + 572 = 0. Let r = 233 + k. What are the prime factors of r?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, s: 3, i: 1, e: 2, w: 2}. Give prob of sequence sswe.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -456, -401, 688, 3327, 8032?\n\"Answer: 86*v**3 + v**2 - 550*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 6*r - 423 = 0. Let d = 55 + r. Let o = 92 + d. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 374552 + -1?\nAnswer: 374551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 3*f + 63, f = 4*b + 4*f - 63. Solve 0 = -4*j - b + 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2308858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7067 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3177*u**6 - 2265*u**4 + u**2 - 3*u + 23851.\nAnswer: 381240*u**3 - 54360*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of u**2\/2 + 4. Let x(j) = -3*j - 1 - 5 + 5. Let a(v) = -5*c(v) - 2*x(v). Calculate a(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26*(-34)\/(-3315))\/(2\/(-4)).\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 - 102*k + 71. Is v(60) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28.2 + 76.6. What is z rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -3*q + 17, -39 = 3*j + q - 48 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -54*g + 164. What is the units digit of y(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5 = -5*s + 13, -4*a - 12 = -4*s. Solve 0*i = -i + a for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**3 - 3*o**2 - 2*o - 2. Let z be v(-2). Suppose z*g - 17 = 259. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1550 is divided by 506?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-2)\/4*-12. Let j(d) = d**2 - 5*d - 4. Let q be j(u). Suppose q*n = -5*a + 3*n + 23, 0 = -5*a + 5*n + 15. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*i = 75. Let n = -16 + i. Let t be (-3)\/n - (-23 - -1). Solve 0*v = -5*a + 5*v - t, 3*v = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003042 rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11.7*0.0022\nAnswer: 0.02574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*d*o**4 + 6*d*o**3 + d*o - d - 2*o**5 - 72*o wrt o?\nAnswer: -60*d*o**2 + 36*d*o - 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5818447915?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.24 greater than 14291487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d + 10. Let p(v) = -v - 2. Let k(f) = 5*p(f) + x(f). Let u(q) be the second derivative of -3*q**4\/4 - q. Give k(u(s)).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007298 to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - -13 - (-10 + 32)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16432197.\nAnswer: 3, 5477399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 2*z - 3. Let m be n(-5). Let t = -12 + m. Solve -3*s - 3 = -t*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2658421 to the nearest integer?\nAnswer: 1630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -362 in 0.4, -5, 2, -3\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.117 - 1.96. Let k = o + 49.743. What is k rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 4\/(-980)*-712. Let w = g - 149381\/735. Let u = 205 + w. Sort -4\/7, 5, u in decreasing order.\nAnswer: 5, u, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbjb when four letters picked without replacement from smjszkkzmbkkzzbmbbsk?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9021, -9035, -9065, -9117, -9197, -9311, -9465?\n\"Answer: -v**3 - 2*v**2 - v - 9017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - ((-4)\/6)\/((-1)\/(-15)). Suppose f = -6*t + 8*t. Solve 0 = -2*w, m - 3*w = -t*m - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/2 of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*b - 1428 = 2543 - 567. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 less than 176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-27)\/(-36) - 617\/(-4). Suppose 3*q - s = -47. Calculate the highest common divisor of 9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f - 5. Give m(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 9*m**2 + 3*m - 10. Let h be v(7). Let u = h + 37. What is the common denominator of u and 66\/108 - 1\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216073675361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*i + 4*n = -109*i + 40, -5*n = 2*i - 26 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47115*z**4 - 47115*z**4 + 109*z**5 + 14*z wrt z.\nAnswer: 2180*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1409.\nAnswer: 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a tonne in kilograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**3 - 13*s**2 + 4*s - 6. Let y(x) = 4*x**3 - 19*x**2 + 6*x - 9. Let o(r) = 7*v(r) - 5*y(r). Is o(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, l: 4, b: 1}. Give prob of picking 1 h and 1 b.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1)*t**(-10\/7)*(t**(-3))**(-5\/8) assuming t is positive.\nAnswer: t**(-31\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 2*d + 24, 7*d - 11 = r + 5*d for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/5 - 1*-3. Let m = 100 - 99.9. Which is the nearest to 7? (a) m (b) u (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4.2 (b) -291 (c) 33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 + 34\/2 - 1 is divided by (-2)\/(-10) - (264\/(-55) - 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*j + 6 - 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -95083\/9 + 10565. Which is the closest to v? (a) -33 (b) -0.05 (c) -2\/3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 381 = 229. Let x = o - -180. Calculate the smallest common multiple of 11 and x\/8 - 1\/4.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8, -7, -30, -67, -124, -207, -322?\n\"Answer: -f**3 + 2*f**2 - 14*f + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104\/9 + 58\/3*r - 2\/9*r**4 - 10\/3*r**3 - 38\/9*r**2 = 0. Calculate r.\nAnswer: -13, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*i**2*z - 5*i**2 - 296*i + 2*z wrt i?\nAnswer: 36*z - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 e when two letters picked without replacement from {i: 2, l: 6, c: 2, e: 1, w: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2269 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159 = -73*l + 378 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 556 and 48450118?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1732, 1730, 1726, 1720, 1712, 1702, 1690?\nAnswer: 1676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + y - y)*(5*y**4 - 2*y**4 - 4*y**4) - 10*y**5 + 28*y**5 + 54*y**5.\nAnswer: 70*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15561269*t**3 - 2*t - 8359118.\nAnswer: 93367614*t","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 25\/(250\/(-120)) - -62. What is the highest common divisor of b and 1475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -17. Let j = -117 - -1286\/11. What is the biggest value in -3, a, j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507588.9 millilitres in litres?\nAnswer: 507.5889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1867 + 1874. Let o be -1 + -1*(-2)\/2. Let z(d) = 2*d**3 + 2*d**2 + d. Let b be z(-1). Sort b, c, o.\nAnswer: b, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(176\/53438) + 6\/(-4). Which is bigger: q or 607?\nAnswer: 607","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/1)\/((-20)\/(-1)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 132192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25596448*f**3*n - 3*f*n + f - 1132867*n + 2 wrt f?\nAnswer: -153578688*f*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -20 - (-1 - 10) - -7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*a = -103*a - 88*a + 4088 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 9*m**2 - 1. Let t be d(-10). Let v = t + -95. What is the smallest value in 2, v, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 0, 45 = -3*i - r + 231. Let z be i\/4*(-1 + -1). Let q = 62 + z. List the prime factors of q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 21, 46.\nAnswer: -4, -3, 21, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1402 - 341632?\nAnswer: -340230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h**28\/h)*h)\/h)\/(h**37*h)*(h**12)**(-29))**25 assuming h is positive.\nAnswer: h**(-10325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -5. Let g = -3 - k. Let h be (g\/(2\/(-4)))\/(-5). Sort h, -4, -5 in descending order.\nAnswer: h, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 384 and 28973472.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 990 + -951. What is the highest common divisor of f and 455?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2650 a factor of 1095833300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1063 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 57*s + 134. What is the hundreds digit of p(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-33)\/(-12) - 2\/(-8). Suppose 0 = -j*h + 2 + 10. Suppose -5*y = 4*s + 12, 3*y + 0*y + h*s + 12 = 0. Round y to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57261 a multiple of 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1681 or 294162\/175?\nAnswer: 1681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 69076 and 128?\nAnswer: 68948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -4 (c) 2\/11 (d) 0.074 (e) -14660\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -460, -457, -454, -451, -448, -445?\nAnswer: -442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 2:04 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 15. Calculate the remainder when ((48 - 97) + 52)\/((-2)\/(20\/(-2))) is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33\/1747 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + 22 + (-31 - 5) - -44?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 98 - 65. Suppose -q + l = 6. Calculate the remainder when q is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1106077623?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 30*x**2 - 616*x + 616*x + 4*x**2. Let n(g) = 2*g**3 + 3*g**2 - 4*g + 9. What is the remainder when n(4) is divided by h(-1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00062543 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -63, -114, -167, -222, -279?\n\"Answer: -u**2 - 48*u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 17*y**6\/30 - y**5\/5 - 14*y**3\/3 + y**2\/2 - 181*y. Find the second derivative of r(q) wrt q.\nAnswer: 204*q**2 - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3464.9999997329 - -3465. Round d to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-9))\/(1\/6*10)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-7 + -5 + 16)*(1707 - 0).\nAnswer: 2, 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b**3 - 5*b + 5. Let c(z) = 5*z**3 + 4*z - 4. Calculate -5*c(u) - 4*k(u).\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*b + 97 - 444 = 56 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 936*l - 502357. Determine a(537).\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 + 1013996?\nAnswer: 1013988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3.12 (b) 1\/3 (c) 9\/4 (d) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 1)\/((-22)\/11). Suppose -v = 3*l, -8 = -2*v - k*l + 2*l. Suppose -v*j + 27018518 = 10818518. What is j rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**4 - v**2. Let z(p) = 10*p**4 + 3*p**2. Let t(c) = -2*h(c) + z(c). Find the third derivative of t(a) wrt a.\nAnswer: 288*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 4.6. Let f = -357 - -321. Let v = -39 - f. Which is the closest to -2\/5? (a) v (b) g (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 884, 5691, 18308, 42629, 82548, 141959, 224756, 334833?\nAnswer: 476084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -6*a - 6. Let d(o) = 0*o - 7*o + 3 - 8 + 2*o. Let v be 4 - ((1 - 3) + 1). Let g be ((-24)\/(-15))\/(-2)*v. What is g*q(k) + 5*d(k)?\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1316, -1324, -1332, -1340?\nAnswer: -1348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -144 - -86. Let m = j - -57.5. Let h = -9 + 13. Which is the nearest to -1? (a) m (b) 0.5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25385753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**5 - 2*m**5 - m**5 + (3 + 2*m - 3)*(-m + m + m**4) + 7*m**5 - 4*m**5 - 2*m**5 - m**5 - 5 + 5.\nAnswer: 3*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-4) + 561\/(-6). Let r = 89 + a. Let q be (-4 + 2)*3\/r. Solve -1 = p + q for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -298*i**4 - 26*i?\nAnswer: -3576*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5300972 - -2?\nAnswer: 5300974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(7) + (2*sqrt(343))**2) + (sqrt(126)\/sqrt(2))**2 + sqrt(112).\nAnswer: -1309 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.03 + 0.03. Let g = 484\/3 + -160. Which is the nearest to i? (a) g (b) -3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1358508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxvv when four letters picked without replacement from {x: 7, h: 2, v: 4}.\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 1468 + 1452 = 5*l, 2*l - 4 = 4*x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**3\/6 + 15*m**2\/2 - 2*m. Let s be ((-4)\/(-5))\/((-4)\/60). Let q be c(s). Solve 0*k - 3*k - 12 = -3*h, 12 = h - q*k for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -37*h - 165. Let p be i(-5). Solve -4*q - 18 = 2*t, -t + p = -5*t - 4*q for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8*(-1)\/2 + 4 + -4. What are the prime factors of n*((-870)\/8)\/(-3)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 14520*q**2 + 6*q + 198. Let o be k(-13). What is o rounded to the nearest one hundred thousand?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 782*o - 2 + 3 + 2266*o - 314*o.\nAnswer: 2734*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -20916 (base 14) to base 10\nAnswer: -78616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3276 (b) 16 (c) 45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e4 + 0?\nAnswer: 1e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuwuuuwuuuuw. Give prob of picking 3 u.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -2 - (-5 + 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000732 to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11, -53, -159, -307?\n\"Answer: -21*m**2 - m + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -66758, -66729, -66700, -66671, -66642?\n\"Answer: 29*r - 66787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5321341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 7*i**2 - i + 7. Let w = -96 - -103. Let a be z(w). Suppose a = 4*y - 0 - 0. What is the third smallest value in 0.3, 3, y, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6, -1, 1038, -4, -16, 0 in ascending order.\nAnswer: -16, -6, -4, -1, 0, 5, 1038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a meter in millimeters?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.085272448 and -26802?\nAnswer: 26802.085272448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -25*p**3 - p**2 + 17*p + 16. Calculate the remainder when 349 is divided by i(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 872 by -105.\nAnswer: -872\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*z - 3*z - 2*z)*(9*z**2 - 15*z + 15*z + (-3 - 4 + 5)*(-2*z**2 + 0*z + 0*z)) in the form f*z**2 + q*z**3 + h + r*z and give q.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 9270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - 0.8. Let x = -1.1 + 3.6. Let h = x + 2.5. Which is smaller: w or h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*a + 13. Suppose 3*u - 239 = -4*s, 2*s - 101 = a*u + 14. What are the prime factors of s?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4492573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2999770 and -7?\nAnswer: -20998390","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 1166618851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*i = -4962, -3*b + i = -b - 1985. What is the units digit of (150\/40)\/(6\/b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 7*s - 1. Let c be h(-8). Suppose c + 27 = 2*x. Suppose 8 + 2 = 2*j. Solve -v = -2*u - 3*u + x, j*v = -10 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*z + 155*z = 73*z - 111 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 14. Suppose -15*z - 24 = -k*z. Let h(i) = -i**2 + 2*i - 5*i**2 - 5 + 3*i. Let s(a) = 15*a**2 - 12*a + 12. Determine z*h(m) - 5*s(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(32\/(-100)))\/(-74*(-24)\/14208).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - v + 544 = -604, 5*v = -4*c + 1549. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 201261\nAnswer: 201260.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7227786, -7227788, -7227790?\nAnswer: -7227792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2586, 0.5, 4, -1793?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15817 >= 15837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039 a factor of 2689369419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 106*f**2 - 10*f - 8. Let s(p) = 21*p**2 - 2*p - 2. Let u(c) = 15*s(c) - 3*v(c). Let a(o) = -16*o**2 - 29. Calculate 4*a(l) - 22*u(l).\nAnswer: 2*l**2 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -6. Let m(h) = 7 + 3 + h - d. Let l(k) = 394 + 391 - k - 790 + 4*k. Calculate m(l(t)).\nAnswer: 3*t - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a centimeter in micrometers?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -680 (base 11) to base 5\nAnswer: -11224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*i + 332 - 332. Solve -3*z + 15*z - 48 = i for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6147008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 192 divided by 21243\nAnswer: 64\/7081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48488 and 101384?\nAnswer: 1115224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.556669l?\nAnswer: 6556.669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -11*z - 4 + 12*z + 3. Let c(f) = -2*f**3 + 5*f. Let r = 52 + -47. Suppose -3*o + 2*o - 28 = r*k, -4*o - 7 = -k. Give k*j(u) + c(u).\nAnswer: -2*u**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -w - 3240*w**3 - 16*w**2 - 4*w**6 + 3*w + 3236*w**3 wrt w.\nAnswer: -480*w**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18719 = 18719?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3824\/(-110)*8 + 156\/(-195). Let r = -279 - k. Put r, 2\/29, -1 in ascending order.\nAnswer: -1, r, 2\/29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6643*k = -5*a + 6646*k - 14, 4*k = -a - 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u**2 - 23*u - 93. Calculate c(-5).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a**2*a*a)\/(a**(-1)*a)*(a*a\/a**(-2)*a)**(4\/33) assuming a is positive.\nAnswer: a**(251\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -169.4?\nAnswer: -508.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228867?\nAnswer: 3, 76289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(0*o - 4*o + 0*o)*(-2*o + 0*o - o).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*(-7)\/(-56) + (-33)\/(-36). Let z = -8 + 7.7. Which is smaller: z or u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*(x\/x**(2\/21)*x)\/x)\/x)\/x)\/x)**(8\/19) assuming x is positive.\nAnswer: x**(-184\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*k - 13. Calculate the least common multiple of 22 and k.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(12)\/sqrt(4)*4 - (sqrt(24)\/(sqrt(8) - (sqrt(8) + sqrt(8)*-2)) + sqrt(147) + -1).\nAnswer: -47*sqrt(3)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4515704 is divided by 106?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51208 is divided by 58?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*s + 8*s + 18*s = 300 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 50847*-0.06\nAnswer: -3050.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2486 - -34829\/14. What is the common denominator of -23\/20 and q?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 18*v + 62. Let p be y(-4). Suppose 4 = -0*z - 2*z. What is the units digit of (p\/z)\/(15\/(-25))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21535125 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*1446764.\nAnswer: -289352.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -16. Let p = t + -9. Let z = -3\/101 - -211\/303. Put -5, p, z in increasing order.\nAnswer: -5, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4137*c. Let z(i) = 752*i. What is 5*j(o) - 27*z(o)?\nAnswer: 381*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5030 - -5175. Calculate the highest common factor of 841 and j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 - 36.5. Let k = l - -17. Let g = k + 19.9999928. What is g rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*b**2*o**4 - 15276*b**2*o**2 - 17981*o**5 - 3*o**2 + 1 wrt o?\nAnswer: -432*b**2*o - 1078860*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/105 + (-16)\/120?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/2*(1500\/(-95625))\/((-8)\/(-20))\nAnswer: -5\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 1 = 4*u + 3, 5*u - 3 = 3*l. Suppose -u*p = 4*p - 1645. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, 8, 17, 10, -19, -76?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*x)*(-2*x**2 - 4 + 4) + 363*x**3 + 390*x**3 - 730*x**3 in the form o*x**3 + j*x**2 + k*x + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + -3 + (((sqrt(325) - (sqrt(325) - (0 + sqrt(325)))) + -3)**2 - ((sqrt(104)*1)\/sqrt(8) + 4)**2))*4.\nAnswer: -2392 + 304*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.61 - 0.61. Suppose -3*x - 7*q - 9 = -3*q, 2*x + 6 = q. What is the closest to 0.1 in k, x, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -501 or -498?\nAnswer: -501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + 1028202*a - 3084588.\nAnswer: -2*(a - 514098)*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i - 5*t = -53, -15*i + 11*i = t - 2 + 10 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(72))*-6 + sqrt(72))*-1 + -4 + (sqrt(72) - (4 + (sqrt(72)*-2 - sqrt(72)))))**2.\nAnswer: -1512*sqrt(2) + 6028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1135*m*s**2 - 19134*m*s + 7812015*m - 51 wrt s.\nAnswer: -2270*m*s - 19134*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (543\/90 - 6)\/(-1 - (-4)\/3)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -8) + 4 + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-4)\/(h\/(h*h**(3\/5))))**(-37))**42 assuming h is positive.\nAnswer: h**(26418\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 400 and -19388.555.\nAnswer: -18988.555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = d + 2791, 0 = 5*g + 4*d - 5*d + 6988. Is -1398 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 4*m + 60. What is the tens digit of (-9)\/24*-498 + m\/(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + -29. Suppose -r*g + 20 = -g. Suppose 5*q = 4*t + 156, -q = -4*t - g - 24. What is the greatest common divisor of q and 256?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 372376130 to the nearest integer?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0132155 rounded to three decimal places?\nAnswer: 1.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -135 - -312. Suppose -5*h = -622 + a. Let m = h - 53. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37 and 185888?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 305586066?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-8))\/(27\/(-108)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 7*j - 36. Differentiate 181*a + j*a**2 - 181*a - 3 with respect to a.\nAnswer: 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**3\/6 + 5*k**2\/2 - 4*k. Let d be q(-5). Calculate the greatest common divisor of d and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oubr when four letters picked without replacement from {a: 4, u: 2, b: 1, j: 7, o: 1, r: 3}.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -17 and -17 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 + 2*g**2 + 5*g - 3*g**2)*(3*g - 4 + 4).\nAnswer: 3*g**3 + 15*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/584520 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74099*-1.\nAnswer: 74099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/6)\/2 - 2. Suppose 0 = c - 3, 2*r + 35 = 6*r + 5*c. What is the smallest value in r, -0.2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 5*d - 44 = 0, -288*v + 286*v - 34 = 4*d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11734 is divided by 175?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*h + 38. Suppose 8*s + h = -0*s. What is the smallest value in s, 2, -2.7?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - m - m)*((-20 + 3 - 18)*(2*m - 2*m + m) + (0*m - 7*m + 2*m + (-2 + 3 - 3)*(5*m - m - 5*m))*(2 + 2 - 2)).\nAnswer: -41*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**3\/7 - 3066876*q**2\/7 - 1175697648450*q\/7 + 14108813415000\/7 = 0 for q.\nAnswer: -766725, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58\/435 - -47*2\/(-30)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + s + 11 = 0, -113926*y + 4*s + 54 = -113928*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2552, -0.1, 36, 0.067, 1.\nAnswer: -2552, -0.1, 0.067, 1, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y + 10. Let z be (33\/3 - -3)\/2. Let p be j(z). Let d(w) = -7*w - 6. Is d(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15948 < 32872?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4464028 and -55?\nAnswer: 245521540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1511616908 to the power of 1\/3, to the nearest integer?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 383 - 40*o + 23*o + 16*o + 570.\nAnswer: -o + 953","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*m**2 - 3347 + 3347 - 116*m to t + o*m + z*m**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3579.93 rounded to the nearest ten?\nAnswer: -3580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/1722 and -163\/378.\nAnswer: 15498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 110000101010 (base 2) to base 4\nAnswer: 300222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2654\/29299 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j. Let x(k) = -k - 2. Let q be x(-2). Let a = q + 0. Let n(w) = -2*w + w + a*w. What is i(n(y))?\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((152\/(-28))\/1)\/(12\/(-84)*-2)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of r**5\/120 - 5*r**4\/24 - 13*r**3\/6 - 16*r**2. Let x(a) be the first derivative of v(a). Calculate x(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8339621.\nAnswer: 8339621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364*m - 375*m + 83248 = 0. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e1b0 - 23c8?\nAnswer: bde8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -68, -97, -130, -167?\n\"Answer: -2*a**2 - 23*a - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2 - s + s. Let d(x) = 434*x - 436*x + 0 + 0. Determine d(h(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 4*k - 16. Let q = -36 + 50. Suppose 10*g - q*g + 20 = 0. Put g, 3, k in descending order.\nAnswer: g, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -14*r**2 - 2*r - 1. Let q be t(-1). Let z = q + 73\/6. What is the second biggest value in -0.2, z, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 162 and 54?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 6)*(-3*d + d - d + (-d + 0*d + 0*d)*(5 + 0 - 3) + 3*d - 3 + 3 + 6*d - 3*d + 0*d) + (0 + 2 - 4)*(-3*d - d + 3*d).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-25 + 10 + 9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5*t**3 + 6*t**2. Let j be (-2)\/(-8) + (-99)\/(-36). Let l(c) = 133*c**2 - 120*c**2 - c**j - 2*c**3 - 7*c**3. What is -13*i(o) + 6*l(o)?\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5806*-13\nAnswer: -75478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -607*t + 616*t - 19 - 18. Determine k(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -474*f**4 + 2849*f**3 - f**2 + 23452993*f wrt f.\nAnswer: -5688*f**2 + 17094*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 3*s + 1. Let c(k) = -72*k**2 - 6*k + 3. Give c(v) - 2*p(v).\nAnswer: -74*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -124*r**5\/5 - r**3\/6 + 2142*r**2. Let o(d) = d. Determine o(q(p)).\nAnswer: -1488*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1141 (base 6) to base 15\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46 + 47. Which is smaller: 0.16 or l?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2277132790.\nAnswer: 2, 5, 227713279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 13*r + 12*r - 4*r)*(-2*r - r**3 + 2*r + 2 - 2 - r**3 + (r**3 - 3*r + 3*r)*(1 + 0 - 3)) as k + t*r**3 + m*r**2 + v*r**4 + l*r and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p**7\/21 - 10*p**6\/3 + 218*p**5\/5 - 249*p**4 + 729*p**3 - 1080*p**2 + 3*p - 2370. Factor i(c).\nAnswer: 2*(c - 40)*(c - 3)**3*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 0*a**2 - 1\/80*a**5 - 2*a - 1\/24*a**3 + 1 + 1\/24*a**4. Let y(p) be the first derivative of r(p). Factor y(z).\nAnswer: -z*(z - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**5 + 30*x**4 + 15*x**3 - 80*x**2 - 60*x = 0. What is x?\nAnswer: -1, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -5.4. Let o(h) = -h**3 + 5*h**2 - 5*h + 9. Let c be o(4). Suppose 4*p - 3*z = 2*p - 14, 13 = -c*p + 2*z. What is the closest to p in -2\/15, y, 1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3726691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 - (-27)\/6)*276?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67*c**3 - 200*c**3 + 3*c + 66*c**3 - 2 - 4*c**4 + 2*c**2 + 68*c**3 to the form j*c**4 + a*c + p*c**2 + f*c**3 + i and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**7\/840 - q**4\/12 + q**3\/2 - 3*q**2. Let f(i) be the first derivative of n(i). Find the first derivative of f(j) wrt j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.232697 litres in millilitres?\nAnswer: 2232.697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 134 = 4*c - 4*x, -124 = -4*c + x. What is the highest common divisor of c and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13.9 + -0.1. Let s = -13 - v. Let g = -0.3 - -0.1. What is the closest to 1 in 0.2, g, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*u + 2, 8 = -5*r - 2. Let m(v) be the first derivative of 5*v**2 + 6*v + 27. Let n(i) = 9*i + 5. Calculate u*n(d) + 5*m(d).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-2)\/(-8))\/((-2)\/(-168))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 6:55 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 784*i - 24 = -390*i - 390*i, 4*v - 14 = i - 27 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 610432 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -323715, -647416, -971117, -1294818, -1618519?\n\"Answer: -323701*a - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4327375 is divided by 550.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/5 of a day in minutes?\nAnswer: 25056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.2 + -5.8. Let m = -6 - v. Let k be (2*-1*1)\/(-4). Which is smaller: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 288, 2682, 9286, 22206, 43548, 75418?\nAnswer: 119922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4253 + 4289. What is the lowest common multiple of 9 and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36765 and 241875?\nAnswer: 1935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*p - 59*p. Suppose -2*f + 29 = 5*d, p = -6*f + 3*f + 5*d - 19. Let q be (871 + 4)\/(f\/112). What is q rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2088 - 13.1423.\nAnswer: 2074.8577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 5 (c) 0.4 (d) -4 (e) -3 (f) -47 (g) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*a = -5*a + 14, w + 13 = 4*a. Is (22\/(-4))\/(w\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291193 greater than 291194?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*r**2 - 298*r**2 + 13*r**2 + 15*r**2.\nAnswer: -299*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 1\/2, -117\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.1367708ms in hours?\nAnswer: 0.000001149103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.03296 and 2.\nAnswer: 2.03296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*a + 147*a = 4. Suppose 3*o + a*q - 382 = 0, -10*o + 5*o = -4*q - 666. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7712 rounded to the nearest one hundred?\nAnswer: -7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**4 + 2*i**2 - 2*i**2 + (i - 4*i + i)*(0 + 0 - 2*i**3) - 11*i**4 - 15*i**4 + 15*i**4.\nAnswer: -6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -421332 (base 5) to base 3.\nAnswer: -201011022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 10:47 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17.1 - -17.1. Sort 5\/2, y, -0.4 in ascending order.\nAnswer: -0.4, y, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-405)\/54*(-144)\/(-54)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -261*u**3*y + 2312*u**3 - 3*u*y - 2*y wrt y.\nAnswer: -261*u**3 - 3*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 111459 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*g - 20 = t + 27*g, -4*g - 5 = 3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 + 8 - 6*l - 3*l**2 - 12. Let o be s(-2). Solve -o*y + 9*y = -25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 19 + 499*h - 259*h - 278*h.\nAnswer: -38*h + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9421.\nAnswer: 9421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 945 - 581. Calculate the greatest common factor of 28 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f - -4d9e5?\nAnswer: 4d9d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 117 and -8.2758554.\nAnswer: 108.7241446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(8\/5))**25\/(p*(p\/p**(-3\/7))\/p)**(-2\/15) assuming p is positive.\nAnswer: p**(1369\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4*u = 12, -a - 2*a - 6 = -2*u. Let v = 5 - a. Suppose 0 = -v*z + 5 + 10. Which is greater: z or 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*w + w**2 - 6*w**2 + 6*w**2.\nAnswer: w**2 + 62*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 u when three letters picked without replacement from {d: 1, u: 2, c: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(-1 + 0) - -3. Let r = -0.94683 - 2.05317. What is the third biggest value in r, -7\/3, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322 - 2 = -6*f. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-1))\/((192\/36)\/8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2418705664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 855047?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (-3 + sqrt(567)*-2 - sqrt(567)*1*2 - (-4 + sqrt(567) + sqrt(567) + 2 + sqrt(567) - (-1*sqrt(567) + sqrt(567) + 3))))*1)**2.\nAnswer: -756*sqrt(7) + 27819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 - (-5 - (-5 + 1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2776 divided by -3291?\nAnswer: 2776\/3291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.11 + -19.89. Let z = 11 + r. Let j = 8.7 + z. Which is the smallest value? (a) -0.5 (b) -4\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/((-63)\/(-2)) + 30\/7. Let d(c) = c**2 - c - 9. Let k be d(x). Suppose k*s - 68 = -5*l + 60, 3*s - 53 = -2*l. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((686\/21)\/49)\/((-20)\/(-144)).\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -129\/16490 and -13\/68?\nAnswer: 32980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*20\/3*(-11)\/4. Let y = -54 + g. Suppose -3 + 11 = x + 4*m, y = m. Solve -4*q = -4*a + 12, 3*q = 5*q - x for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 - ((21 - (13 + -2)) + -2 + -15)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 591 - 3293.\nAnswer: -2702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.6 (c) 1\/9 (d) -1\/10 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5022221 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5877425.\nAnswer: 5, 233, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjtjwjwjjjt. What is prob of sequence tjtj?\nAnswer: 14\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 24*y - 31. What is g(22)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 7:46 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 i, and 1 z when four letters picked without replacement from {z: 1, f: 1, t: 3, i: 3, q: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/3 + 2*u\/3 + 1.\nAnswer: -(u - 3)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/(s**6\/s*s*s)*s)\/s)\/((s**3*s)\/s*s)*s**(6\/7)*s**(-3\/4))\/((s**3)**11)**(3\/22) assuming s is positive.\nAnswer: s**(-375\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 39225.\nAnswer: 39225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211893 is divided by 1075.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22151\/4 + -775083\/140. Find the common denominator of c and 107\/50.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99945 is divided by 139?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 372*t + 394*t - 1232*t + 423*t.\nAnswer: -43*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (33 - 3) + -5 + 3. What is the greatest common factor of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3428a (base 12) in base 11?\nAnswer: 48255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.94448l to millilitres.\nAnswer: 65944.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -d519?\nAnswer: -d517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k = 2*b - 58, -3*b + 3*b - 3*k + 4*k = 5 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1113*s**3*t**5 - s**3*t + s**2*t**5 + 8826*s*t wrt t?\nAnswer: 22260*s**3*t**3 + 20*s**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4712.71l in millilitres?\nAnswer: 4712710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5438218*t**2 - 4411979 wrt t.\nAnswer: 10876436*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 0*m - 4*m = -8, m + 10 = -5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 0*b - 17\/120*b**6 - 2*b**2 + 1\/3*b**3 - 11\/24*b**4 + 1\/42*b**7 + 0 + 7\/20*b**5. Factor j(v).\nAnswer: (v - 1)**3*(5*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 12\/7 of a week?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/24*66\/(-30))\/(-11)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6136718 - 73598659\/12. Let s = -3490 + n. Find the common denominator of (-355)\/18*(-22)\/(-110) and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15\/4*v + 7\/2 + 1\/4*v**2.\nAnswer: (v - 14)*(v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**5 + 1371*t**4 + 11160*t**3 = 0.\nAnswer: -8, 0, 465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2062*r + 6 = 2068*r. Sort -5, 261, 2, r in ascending order.\nAnswer: -5, r, 2, 261","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 0*m + 0*m + 2*m**2. Let q(b) be the first derivative of -14*b**3\/3 - 235. Give h(q(a)).\nAnswer: 392*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/50*(-30 - -28)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-1 + 7 - (15\/30)\/((-5)\/(-530))).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1700)\/(-1020)*(-84)\/10?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41? (a) 2\/41 (b) -2.6 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 485 - 166. What are the prime factors of h?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.2 and -11.\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 0*o**3 - 2\/45*o**6 + 3*o + 0 - 1\/126*o**7 - 1\/18*o**4 - 1\/12*o**5 + 0*o**2. Factor r(h).\nAnswer: -h**2*(h + 1)**2*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 400 = 17*d. Suppose -d = -11*z - 7. Put 5, 2, z, 11 in descending order.\nAnswer: 11, 5, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 1207?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -38 less than -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.9, -2\/9, -1\/4 in decreasing order.\nAnswer: -2\/9, -1\/4, -0.4, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*p - 1817225 = -9*p, 2*y - 4*p = -908620. Round y to the nearest ten thousand.\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wkv when three letters picked without replacement from {e: 1, k: 1, a: 2, x: 1, w: 1, v: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*t + 263*t + 35 = -2*c, -34*c = -18*c - 20*c - 3*t - 25 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -4, 8097\/2 in increasing order.\nAnswer: -11, -4, 8097\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*b - 298*b - 128*b + 133*b.\nAnswer: -448*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 3*h. What is the remainder when i(-3) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 times 0.07?\nAnswer: 1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of k**6\/120 + k**5\/10 - k**4\/24 - 2*k**3\/3 + 2*k**2. Let g be p(-6). Suppose 3*a - g = 31. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**3 - f**2 + 2*f - 1. Let s be p(1). Let b be ((-223)\/669)\/((-2)\/3)*(-2 + 2). Put b, s, 6 in decreasing order.\nAnswer: 6, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - -4*(-5)\/20. Sort -4, 1, b, -5 in increasing order.\nAnswer: -5, -4, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -118.7 * 0.744\nAnswer: -88.3128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-7)*j**(-3)*j**(-6)\/j*j*j*j**(-1)*(j*j**2)\/j**7*j*j**(-2\/7)*j*j**(-3) assuming j is positive.\nAnswer: j**(-149\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 4, -2\/3, -44, -9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4358 + -2341. Suppose 3*b + 0*w - f = 2*w, 0 = -5*b + 4*w + 3361. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*g = 2*g + 3, -5*m + 4*g + 27 = 0. Let t = m - 1. Suppose t*q + 76 = 4*q. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9\/776 + -1435\/10088. What is the nearest to 0.13 in c, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1208932 by -4.\nAnswer: 302233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/15)\/((-24)\/(-20))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 3*g + 4*g - g - 5*g + 0 - g + 0 + (0 + 6 - 4)*(2 - g - 2) + 0 - g + 0 - 2*g - g + 0*g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-432)\/9450*-35 - (-484)\/10.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2224*u - 763. Let s(z) = -1109*z - 381. Let q(y) = -2*g(y) + 5*s(y). Find the first derivative of q(i) wrt i.\nAnswer: -1097","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78205574 to the nearest integer?\nAnswer: 8843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 13*f + 104. Let t be s(-7). Let i(y) = y**3 - 12*y**2 - 12*y + 12. Determine i(t).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 6:42 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 4*h**2)*(0*h - 4*h + h - 1).\nAnswer: 12*h**3 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 14\/8)*8. Suppose 2*f + 3*i - h = 8*i, 4*f = -4*i. Solve 0 = 2*g + g - 2*l - 4, 6 = f*g - 2*l for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1412.792194 rounded to 1 dp?\nAnswer: 1412.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in -1\/6, -4\/7, -5, -4\/9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -114, -122, -132, -144?\n\"Answer: -y**2 - 5*y - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 4:52 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -184.1 + 289. Let p = n - 91. Let u = 13.899309 - p. What is u rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, q: 2, s: 1}. What is prob of picking 1 m and 1 q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19022162 to the power of 1\/2, to the nearest integer?\nAnswer: 4361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7653094 divided by -14522?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.08 + 0.0359. Let m = d - 2.9859. Round m to 1 dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*k - 7*k - k + (3*k + 3*k - 4*k)*(565 - 162 - 271).\nAnswer: 243*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3638925269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49099442*y**3 - 1750*y**2 + 6*y + 19 wrt y?\nAnswer: 294596652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 1:41 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 82016784 + 0?\nAnswer: 82016784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-2\/9)*n**9\/n)**(-2\/27) assuming n is positive.\nAnswer: n**(-166\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 252013, 504032, 756039, 1008028, 1259993?\nAnswer: 1511928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17\/2 of a century?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -707 or 12398?\nAnswer: 12398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z - 3*z - 2*z to b*z + c and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12777 - -3716. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18 - -2)*4*-1. Suppose 22*n - 134 - x = 0. Calculate the lowest common multiple of n and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c**2. Let g(w) = -99036*w. Give g(s(r)).\nAnswer: -396144*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 365\/(-73)*28\/7?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-22)*86*5\/215\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -306, -1223, -2748, -4881, -7622, -10971?\n\"Answer: -304*j**2 - 5*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2 - 10*i - 16 = 0. Calculate i.\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 58 - 980. Suppose 20*a = 7 + q. Calculate the remainder when (1\/(-2))\/(2\/(-64)) is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -1, 0.5, -2.8?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -140*l - 12. Calculate a(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.40308 decades in millennia?\nAnswer: 0.0240308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.45, 2, -1, 3, -210 in ascending order.\nAnswer: -210, -1, -0.5, -0.45, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -278 - -513. Is n a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -3. Find the first derivative of -x**d - 3 + 0*x**2 + 2 wrt x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 1:23 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/2 of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/1652 and -41\/9.\nAnswer: 14868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 - 3 + 3)*(k - 3*k + 3*k) + 2*k**3 - k**3 + 0*k**3 - 17*k - 88*k**3 + 17*k + k**3 + 2*k**3 - 5*k**3.\nAnswer: -91*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 95*p**3\/2 + 88109*p**2 - 352721*p\/2 + 88204 = 0.\nAnswer: -176408\/95, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d + 11 - 21 + 8 + 18*d + 7*d**2 + 2*d**3 as j*d + m + r*d**2 + o*d**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.092 + 0.392. Which is the nearest to j? (a) -4 (b) 3\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20\/11 in -2\/9, 15, -1\/4, -6, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4167.1765 to 1 decimal place.\nAnswer: -4167.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41.964 + -5.964. Which is the nearest to h? (a) -5 (b) 8 (c) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -1, 24\/7, -2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 340434601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 15. Let o = -225 + 241. Solve -d*x - 4 = 2*k, 0*x - 2*k - o = 5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -7. Suppose 6*s = s + 3*r + 8, 0 = -5*s - u*r + 2. Let l(k) be the second derivative of 3*k**3\/2 + k**2\/2 + k - 33. Calculate l(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 48 - 29 - (-2 - (2 - 4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 + -20. Calculate the highest common factor of 17 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o - 4. Let v be r(-2). Let n be v\/6 - (-26)\/39 - -241. List the prime factors of (-2556)\/(-22) - 44\/n.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 93.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(2448) - -1*sqrt(2448)) - sqrt(2448))**2*-1*-5 + -2.\nAnswer: 305998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/65)\/(7\/(-91))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 9:54 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*m - 1715 - 4442 = 0, 0 = -5*i - 5*m + 7740. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1285 divided by -257?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 i when two letters picked without replacement from {i: 4, m: 1, n: 1, l: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1288, 11, -20, 0 in decreasing order.\nAnswer: 11, 0, -20, -1288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -197883 - 19?\nAnswer: -19789c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + (-1 + sqrt(931))*5 + sqrt(931) + (sqrt(931) + -3*(sqrt(931) + 1 + sqrt(931)) + sqrt(931))**2).\nAnswer: -74515 - 1050*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 29*q - 2155. Calculate the least common multiple of z(83) and 756.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by -97?\nAnswer: -17\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 59\/44 at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -15e (base 16) to base 9\nAnswer: -428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -4. Calculate the highest common divisor of 96 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3269014*o**3 + 3263097*o**3 - 6532117*o**3.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 523*f**2 - 131878*f + 2834. Determine p(709).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1099 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 0.4854?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - -59. Calculate the greatest common factor of 13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -6) + (3 - 12) + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/4*(-2 + 0). Let m(k) = k**2 + 3*k. Let n be m(w). Let r(t) = -2*t**2 + 2*t - 1. Let q be r(2). Which is the biggest value? (a) q (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18300\/31 - 590. Which is greater: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 0*l = -l + 3, l - 3 = 2*h. Suppose n - 4 = 4*j + 2, -2*j - 2 = h. Suppose -2*b = 4*u - 20, 20 = -2*b + 6*b - n*u. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + v + 4*u - 23, 4*u = -v + 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/35 and 59\/140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pw when two letters picked without replacement from ppw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**3\/5 - 28*y**2 + 6204*y\/5 - 17424 = 0.\nAnswer: 30, 44, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4620 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g = -g + r - 2, r = -g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 895 - 888. Let o = 15 + -11. Suppose 0*g + 4*z = o*g - 16, -4 = 5*g + z. Sort g, i, -4 in descending order.\nAnswer: i, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (0\/(-1) + -12). Let u be 2\/(-10) + j\/5. Suppose -u*b - 3*b + 45 = 0. What is the greatest common divisor of b and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6*m**2 + 3. Let n(r) = -291*r. Give n(i(v)).\nAnswer: -1746*v**2 - 873","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 41 = -19. What is the highest common factor of y and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 6*w**2 - 60*w + 149. Let r be b(6). Solve -3*p - 18 = -3*n, -7*n + r*n + p = -11 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -714760 divided by -1670.\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 79*u - 196. List the prime factors of h(11).\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -116 + 163. Let r be x\/(-1)*(-4 + 1). Do r and 142 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**3\/(h**6*h)*h**9\/h*h**(-1\/2) assuming h is positive.\nAnswer: h**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9897319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -81180 - -81179. Let x = -7.94 + 8. Which is the fourth biggest value? (a) x (b) 2 (c) 3\/2 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 4. Suppose -y*n - 11 = -56. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 6*a + 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 20*u - 22. Let f be d(-15). Suppose w - 5*n + f = 2*w, 61 = 2*w - 5*n. Let o = w - 26. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4986 divided by -109187\nAnswer: 4986\/109187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x + 9*x - 8 = 0. Are x and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = d + 4*h, 3*d + 5*h - 21 = -0*d. Suppose 39 = 5*u + 2*x, -2*u + d*x = 6*x - 6. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**4\/4 + 125*f**3\/4 - 65*f**2\/2 = 0.\nAnswer: -26, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 98437795 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l + 5. Determine i(7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 7809327\nAnswer: 31237308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -20860460 + -0.5?\nAnswer: -20860460.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 1. Suppose 3*h - 110 = -2*n, -n + f*h + 29 = -26. What is the greatest common factor of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*v = -34 + 202. Suppose w = -20*m + 23*m - 6115, -v*w - 2053 = -m. What are the prime factors of m?\nAnswer: 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 4*t**2 - 12*t - 4. Determine u(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*g**3*z**2 - g**3 - 19*g*j - 7*j*z**4 + 3*j wrt z.\nAnswer: -10*g**3*z - 28*j*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, d: 7, l: 5}. What is prob of sequence ud?\nAnswer: 49\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 289 and 204.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -134, 4\/9, -27 in decreasing order.\nAnswer: 4\/9, -27, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 - -43. Suppose -8*l + o = -4*l. Let i = 133 - 129. Solve 5*a - 4*j = 45, -l*a - 2*j = -i*j - 35 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3079, 3, -2306 in ascending order.\nAnswer: -3079, -2306, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -27539*c**3 - 19*c**2 - 6*c - 60. Let y be t(-13). Suppose y = 5*n - 5*g, 4*g - 3 = 5. Round n to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.1 smaller than 0.2333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 24 times 0.17\nAnswer: 4.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 562.6284 litres to millilitres.\nAnswer: 562628.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -41, -75, -117?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 794*w**2 + 171633*w + 27867. Calculate j(-216).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 74147820 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 124 = 140*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/6? (a) -29 (b) 0 (c) 28553\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 1) + (30 + -5 + -52 - -10).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*h - h + 18, 2*h = 4*f - 2. Let b(y) = 19*y**2 - 2*y - 1. Let g be b(-1). Let z be 9\/(-6)*g\/(-6) + -3. Sort h, 7, z in descending order.\nAnswer: 7, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -13*n**4 - n**3 + 12*n**2 = 0.\nAnswer: -1, 0, 12\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5453 - g**3 - 7*g**3 - 5450 - 7*g**3 + 10903.\nAnswer: -15*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 6*f**2 + 23*f + 1. What is i(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -8. Let x = f + 12. Calculate the remainder when x is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1131017*-0.9.\nAnswer: -1017915.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**2)**(-34))**(1\/6))**(1\/15) assuming p is positive.\nAnswer: p**(-34\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1390506 and 312?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18062318 to the power of 1\/2, to the nearest integer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f + p + 22, 0 = -426456*f + 426454*f - 5*p - 45 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 s when two letters picked without replacement from {s: 2, k: 2, j: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d. Let m(o) = 8*o. Let p(w) = -9*w. Let s be 3 - (9\/(-3) + 0). Let a(z) = s*p(z) + 7*m(z). Give h(a(q)).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21207906, -21207861, -21207816, -21207771?\nAnswer: -21207726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 338 = 13. Let x = m - 58. Suppose -x*f + 96 = -3*f. Calculate the smallest common multiple of 12 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3691, 14122, 31505, 55840, 87127, 125366, 170557?\n\"Answer: 3476*y**2 + 3*y + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (44\/66)\/(2\/114*-1). Let a = -33 - b. Solve a*j - 2*d = 2*j + 15, 3*d = 3*j - 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/66*(-12)\/(-4))\/1\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 271475198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 0.052, -0.103?\nAnswer: -0.103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a week?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34951092?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-26)*2 - (-375)\/(-8125).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-140)*(-708)\/(-531))\/((-2)\/(-20))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.6 minus 165125?\nAnswer: -165077.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1757019757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 80. Let s = h + -292\/5. Let j be 5\/(-3)*(-2)\/(-5). Which is the closest to s? (a) j (b) 1\/4 (c) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5971 + 5736. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 4.3, 3, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a - 425397 + 851779 - 426383.\nAnswer: -4*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1074637?\nAnswer: 61, 79, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -5, 13807, -4, -8 in descending order.\nAnswer: 13807, 8, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 19*o + 1 + 8.\nAnswer: 19*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 654\/(-27) + (-2)\/(-9). What is the remainder when 35 is divided by (q\/2)\/(4\/(-6))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 6*h**2 + h - 4. Let z be m(5). What is the greatest common factor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -816*d - 736 wrt d?\nAnswer: -816","meta":{"dup_signals":{},"source":"calculus__differentiate_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: What is 44.446383 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -456 - 2479 = -5*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/3859 and -51\/14.\nAnswer: 54026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -5\/2*s**2 - 6 - 5*s. Differentiate c(g) wrt g.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 186*x + 4128. Let g(q) = -133*q - 2752. Determine -5*c(j) - 7*g(j).\nAnswer: j - 1376","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*v - 6 + 29*v + 23*v - 1 as w + a*v and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-9) + (-4)\/6. Let v = -24 + 19. What is the third smallest value in j, v, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 40? (a) -4 (b) -21 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 7. Let n(d) = d**2 + 0*d**2 - 2 + y. What is the units digit of n(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 7*u**2 + 5*u. Let x(b) be the second derivative of -b**4\/12 + 5*b**3\/3 - 3*b**2 - 2*b. Let z be x(10). What is p(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**5\/20 - l**4\/4 + 2*l**3\/3 + 5*l. Determine f(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 4*g**2 + 8*g + 9. Let h be -2 + -3 + (0 - 2). Is 25 a factor of d(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75\/(-135))\/((-5)\/12)*6\/1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, v: 1, f: 2, b: 3, e: 1, h: 3}. What is prob of sequence fb?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**5\/30 + y**4\/2 + 11*y**3\/6 + y**2. Let x = -180 + 173. Let w be a(x). What is the highest common factor of w and 225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, z: 5, q: 6, c: 1, r: 3}. Give prob of sequence qrq.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1184569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/18)\/((n*n**(-20)*n*n*n)\/n))\/(n*n\/n**(6\/11)*n*n*n*n\/n**5))**(1\/7) assuming n is positive.\nAnswer: n**(3265\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**4 - 875*s**3 + 69432*s**2 + 216144*s = 0.\nAnswer: -948, -3, 0, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nbgyggagbzaa. What is prob of sequence gy?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -178*u - 1441. Is g(-38) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-21)\/(-28) - (-473)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 49?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 642000 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of g**4\/12 - 59*g**2\/2 + 100*g. Let r(l) be the first derivative of a(l). Let p(s) = -s + 4 - 4. Give r(p(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-12)\/(4 + 2) + -12. Let m(f) = f - 6. Let l(i) = 2*i - 7. Let n(x) = -2*l(x) + 3*m(x). What is n(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 1:32 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 15 = 4*s + 2*g, 2*g + 10 = 5*s. Solve 0 = 2*a + 2 - s for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*b - 83917734 + 83920934 = 0 for b.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1001 (base 4) to base 7\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*j**3 - 181326*j**2 + 544039*j**2 - 181389*j**2 - 181324*j**2.\nAnswer: 40*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -u + 6. Suppose -3*q - u*q + 101 = -2*f, 4*q + 2*f = 88. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-135)*20\/(-8)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 4*g**2)*((-4 - 4 - 5)*(4 - 2 - 3) + 1 - 2 + 2 + 6 - 4 + 0 + (-2 + 3 - 2)*(3 + 0 - 1) - 2 - 1 + 1 + 1 - 1 - 1) to q*g**2 + r*g + n and give q.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.67 - 0.37. Let n = 6 - 9. What is the biggest value in n, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(43 + -43)*(-1)\/3. Suppose o = -75*x + 141405 - 57855. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -609*x. Let o(q) = 4*q. What is o(z(r))?\nAnswer: -2436*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 35104.\nAnswer: 105312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -24, 39, 158, 351, 636, 1031?\nAnswer: 1554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*o**2 + 66*o**2 + 47*o**2.\nAnswer: 83*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -10111111111011010111100?\nAnswer: -10111111111011011000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.47815 or -1?\nAnswer: -2.47815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*u**2 - 9*u**4 + 5*u**2 - 10*u**4 + 8 + 15*u**3 + 16*u**4 + 2*u**4 as m*u**4 + w*u**3 + t + g*u + l*u**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -58296 divided by 7\nAnswer: -8328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -11*r + 4 - r**3 + 4*r**2 + 7 + 7*r**2. Let h be t(9). Suppose -2*y - k = -h, 3*k - 47 = -y + 5*k. Calculate the remainder when y is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22147 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/25211 and 35\/731.\nAnswer: 1084073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (-5 + -2 + sqrt(11)))**2 - (sqrt(77) + -1*sqrt(77))\/sqrt(7) - (1*sqrt(2695))\/(sqrt(15)\/sqrt(3)*2).\nAnswer: -7*sqrt(11)\/2 + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46*161.37.\nAnswer: -7423.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -5*t - 252. Determine l(-49).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 102\/(-198) + (-6)\/(-33)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -15690*v - 564834. Determine k(-36).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 94894 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: Round -9668293.106 to the nearest one hundred thousand.\nAnswer: -9700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 times -0.08?\nAnswer: -1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**2\/9 - 20*x\/3 + 400\/9 = 0. Calculate x.\nAnswer: 10, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/13 and 53\/65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-4*(-2)\/(-4)). Let j be (2 + 2\/o)\/1. Suppose a = j*a. Solve k - 3 - 1 = a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4213 = 65*n - 76*n. Round n to the nearest ten.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 21*o + 18. Let m be j(-15). Let x be ((-14)\/(-6) - 3)*m. Suppose 2*c - 7*c + 58 = -4*p, 4*c - x = 4*p. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -0.088.\nAnswer: -0.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-5) - -1)*(25\/6)\/5. Let t(g) be the first derivative of -15 + 1\/2*g**4 - x*g**3 - 3\/2*g**2 + 3*g. Calculate t(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-2 + 10)) + -38 + 2408 + -2399?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*a + 47*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**4\/3 - 225140*p**3\/3 + 8327762*p**2\/3 - 12003520*p = 0.\nAnswer: 0, 5, 32, 112533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 620676 divided by 14778\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + sqrt(176) + 1*sqrt(176) + 4)**2.\nAnswer: 96*sqrt(11) + 740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -191662 - -461662. Round z to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a millimeter in micrometers?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*p**5 + 0*p**4 - 1\/5*p + 0*p**2 + 0 + 2\/5*p**3.\nAnswer: -p*(p - 1)**2*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 - -51. Suppose -1147 = 14*m - 51*m. Let r = w + m. Is r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m + 5*m - 3*m - 2*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**4 - 2*c + 1. Let q(l) = -2*l**4 + 3*l - 2. Suppose -4*o - 6 = -2*o. Let w(z) = o*d(z) - 2*q(z). Differentiate w(h) with respect to h.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**2 + 3*x**2 - 3*x**2 + (-6*x + 4*x + x)*(2*x + x - x) + (-13*x - 9 + 9)*(30*x - 14630 + 14630).\nAnswer: -393*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y + 4*y + 3*y)*(5 - 3 + 1)*(-1 + 1 - y**2).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 3*l + 9, -t = -3*l + 3*t + 26. Let y be (4 + -3)\/(2\/554). Suppose 33 = l*a - y. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 16*s**2 - 4. Give b(-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3427123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 18 - 6 = 0. Suppose 3*u - 25 = -4*q, 2*q - 4*q = 4*u - 20. What is the units digit of (-1)\/u - (-100)\/t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349*s**2 - 1793*s**2 + 356*s**2 + 363*s**2 + 358*s**2 + 356*s**2.\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5793396 is divided by 2711?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 18, 28, 14 in decreasing order.\nAnswer: 28, 18, 14, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 11*h**2 + 11*h - 12. Let l be v(-9). Let y = -502 - l. Let t = y + 369. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -19.996. Let s = x - -0.996. Put 5, s, 1\/3, -0.4 in descending order.\nAnswer: 5, s, 1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 3*g + 240. Suppose 4*i = 3*h + 93, -3*i - 2*i = -3*h - g. Suppose -5*t = 2*q - 8 - i, q - 2*t - 4 = 0. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.723953l?\nAnswer: 8723.953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 105327497 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(-45) - ((-21)\/(-72) - (-12)\/32)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*p - 5321*p**3 - 2*p**4 + 2654*p**3 - 2*p**4 + 2666*p**3 + 121*p**2 to b*p**4 + v + y*p**3 + w*p + i*p**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 844*z**4 + 33*z**3 + 4*z**2 + 9354*z - 1 wrt z.\nAnswer: 20256*z + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156 and 11310.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*m + 19. Suppose -323 + 1473 = 23*v. Let f be 72\/30 - 5\/v*-6. Solve -3 = 5*h - m*j, -f*j = h + 3*h - 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Is 25257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (5\/8)\/((-15)\/((-390)\/13))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 524.00474 + -524. Round z to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.16 and 3409696.0630959.\nAnswer: 3409695.9030959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*j = 86*j - 32. Solve -1 = -m - j*d, -3*d + 4 = -3*m + 22 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 127585?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 1, -325155 in descending order.\nAnswer: 41, 1, -325155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 10*z**2 + 37*z + 32*z - 5*z**3 + 7*z + 50 - 5*z - 6*z = 0.\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 8*j + 2. Let x be (-16)\/(-6)*15\/(-10). Let d = 3 - x. List the prime factors of y(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 28 + 25 = 0. Suppose -1146 = -5*v - w, -5*v = b*w - 888 - 260. What are the prime factors of v?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -28.643\nAnswer: -85.929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - (-32)\/10)*150\/12. Suppose x = 3*c, -589 = -5*v - 4*c - 59. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -387 - -431.5. Let h = m + -44.6. Which is the nearest to h? (a) 6 (b) 3 (c) 2\/17 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 134501.7 months?\nAnswer: 11.208475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -49 + 0?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l - 5. Let s be w(5). Suppose 8 + 27 = -35*r. Let f = r + s. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b + 2. Let v(l) = 34*l + 696 - 700 - 28*l. What is 7*i(n) + 4*v(n)?\nAnswer: 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252*h - 256*h = 5*m - 101, -2*m + 242 = 10*h. Solve 0 = 5*c - 4*y + 8, -3*c + 2*y = 30 - h for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05644136 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -184, -227, -342, -565, -932, -1479, -2242?\n\"Answer: -6*r**3 - r - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 541294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 3*k**2 - k - 1. Let t be i(3). Calculate the least common multiple of 15\/6*(-108)\/(-10) and t - (-4 - (8 - -4)).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222210211021 (base 3) to base 2.\nAnswer: -10000000110100110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -104110 (base 7) in base 14?\nAnswer: -6907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -987903 - 4*c**2 - 28*c**2 + 987903.\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.542416 to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwuwuaq. What is prob of sequence au?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*r - 1088 = -0*r. What is the highest common factor of r and 1360?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 39324, 78751, 118192, 157653, 197140, 236659, 276216?\n\"Answer: r**3 + r**2 + 39417*r - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5163043 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 6*y - 5. Let d be p(2). Let g be (-1 + d - 3)*-2. Solve -7 = 3*i - 2*a - 2*a, -2*a + g = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bht when three letters picked without replacement from {b: 1, t: 3, a: 4, j: 7, h: 3}?\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -546 + 2*t + 14 - 195 + 67*t.\nAnswer: 69*t - 727","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rp when two letters picked without replacement from {j: 1, b: 2, g: 2, r: 1, p: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8a042 (base 13) in base 7?\nAnswer: 2062233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-833)\/17 - -45)*(-2 - (-50)\/8)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 58 = -46 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.5 + -5.7. What is the closest to 0 in -5, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -0.4, -3, -8, 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*f - f + 35, -4*f + 4*v = -44. Let a be f\/4*(-44)\/(-55). Let o(m) = -2*m**2 - 3*m**a - 2*m**2. Let b(p) = 2*p. Give b(o(c)).\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 235 - 85. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -12 + 9. Suppose -t*r - p + 46 = 0, 13 = 2*r - p - 11. Does 19 divide r\/(-21) + 173\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 2*k = 92, 6*d - 5*d + 197*k - 5576 = -4*d + 3112 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -14*m + 76. Suppose -4*h = -4*i + 3020, -m*i + 5*h + 2504 + 515 = 0. Is i a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 0, 14, 42, 90, 164, 270?\n\"Answer: v**3 + v**2 + 4*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {c: 2, q: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2 + 28. What is the nearest to r in 0.3, -3\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gem when three letters picked without replacement from {e: 7, a: 1, g: 5, m: 5}.\nAnswer: 175\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, p: 2, n: 1, j: 4, i: 4}. Give prob of sequence linj.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 175011483 to the nearest integer?\nAnswer: 13229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*m**3 + m**3 - 2*m**3)*(14*m + 0*m + 15*m) + 0*m + 0*m + 2*m**4.\nAnswer: 350*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1260 is divided by 215?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1934 is divided by 694?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 36\/21 - 4. Let l = -2\/537 - 1052\/5907. Let r = 1387 - 1391. Which is the nearest to t? (a) l (b) r (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 + 3*c**2 - c**2)*(0*c + c + 0*c)*(-5*c + 6*c - 1 + 5).\nAnswer: -2*c**4 - 8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 125, 258, 381, 488, 573, 630, 653?\n\"Answer: -g**3 + g**2 + 137*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/25*-1 + -1 + 77\/35?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + (0 + sqrt(252))**2 + -3 + 4).\nAnswer: 1494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.29, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - p. Let c(q) = -6*q**3 - 7*q. What is -4*c(o) + 28*l(o)?\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 5, 3, 8, 16, -4\/19?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 + 21105351?\nAnswer: 21105326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q + 6. Give f(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 p when three letters picked without replacement from ssssssspps?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10846 divided by 986\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 266. Let s(p) = 22*p. What is y(s(b))?\nAnswer: 484*b**2 - 266","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (124\/(-1488))\/(1\/(6\/3))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 + 2*p + 4. Let u(q) = -7*q**2 - 21*q - 23. Let t(l) = 5*l**2 + 14*l + 16. Let h(y) = 8*t(y) + 5*u(y). Give -2*h(g) + 7*s(g).\nAnswer: 4*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 131*k**2 - 218*k**2 - 445*k**2 - k**4 + 2*k + k**3 as i*k + u*k**3 + y + q*k**4 + x*k**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**14\/l)\/l**17 assuming l is positive.\nAnswer: l**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5509607*t**2 + t + 10779232?\nAnswer: -11019214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**6\/120 + 7*v**5\/60 + 4*v**3\/3 + v**2. Let k be (-5 + (11 - 3) - 3) + -6. Does 16 divide h(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4039308, 4039307, 4039304, 4039299, 4039292, 4039283?\n\"Answer: -b**2 + 2*b + 4039307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 407 = -394. Let p(j) = j**3 - 2*j**2 + j. Calculate p(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/497, 2\/11, -2\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 392.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 21*x**2 + 43*x - 65. Let z = 108 - 131. Let r be y(z). Solve 6 = 5*w + s - 2*s, -3*s = r*w - 20 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 - -38. Let k be (-6 - -6) + d\/(-3). Which is bigger: 1\/129 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -20537*j**2 - 55*j - 8266. Let h(t) = -6846*t**2 - 20*t - 2755. Let y(x) = 11*h(x) - 4*i(x). Find the first derivative of y(p) wrt p.\nAnswer: 13684*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86.26 + -73.3. Let t = h - -0.04. Let p = t + -12.7. What is the biggest value in p, -0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 115 and 21183?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -10*o**2 - 5*o - 5. Suppose 2*c + 9 = k, c - 3*c = -5*k + 5. Let u(i) = -5*i**2 - 3*i - 3. Calculate c*u(p) + 3*d(p).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.021 and -2.06.\nAnswer: -0.04326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 42475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3*i + 190*i**3 - 256*i**3 + 6*i + 8*i to the form v + t*i**2 + p*i + o*i**3 and give o.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 105 - 100. Suppose 4*m - 20 = 4*a, 20 = l*m - 3*a - 5. Solve 2*k + 3*i - 5 = 4, 5*k - m = -4*i for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28612 divided by -4\nAnswer: 7153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 t, and 1 e when three letters picked without replacement from vqtzeqd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -44569\nAnswer: -8913.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -249526, -249469, -249394, -249295, -249166?\n\"Answer: c**3 + 3*c**2 + 41*c - 249571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) -6 (c) -40 (d) 10 (e) -21 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3\/7, 1809, 0.61, 0.1, -0.4, 0.4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (((-462)\/(-14))\/11)\/2\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*r - 8 = 103*r. Determine k so that -1530*k**3 - 820*k**r + 238*k - 471*k**2 - 47*k**4 - 58*k - 12 = 0.\nAnswer: -1, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 150 and 118600.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 134 + -67. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 6. Let x be y(0). Let r(p) = -p**3 - p**2 + 6*p + 2. Let n(h) = h**3 - 7*h - 1. Let i(a) = -6*n(a) - 7*r(a). What is the units digit of i(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/12 in -0.3, 3, 0.05, -0.4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2*-1 + (23 - -22) is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*n + 14 = 0. Suppose i - 201 = -126. What is the remainder when 4\/(-30) + -41*(-35)\/i is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 581.5832l to millilitres.\nAnswer: 581583.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*w - w - 9 = 0, 3*w = 5*u + 17. Let j be 2 + 2 + 0 - u. Solve 3*a = 2*a - j, 3*i + 2*a = -25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*n**2)*(-5 + 0 + 3)*(-3*n - 2*n + 2*n).\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 93\/4 of a litre?\nAnswer: 23250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 231 - 101211404?\nAnswer: -101211123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and 458.\nAnswer: -3664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {v: 4, t: 1, i: 4, d: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 99719 to the power of 1\/2, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 909?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o + p - 19, 2*o + p - 51 = -36 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 23 = -7. Suppose d - 14 = -4*t. Which is the second smallest value? (a) t (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 7?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*g = -393*g - 33*g - 3155 + 30073 for g.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 - 2*u**2 + 0*u**2 - 2*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 5:07 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.2919 + 12.\nAnswer: 6.7081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10.5 in -0.3, -291, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 5*s**3 + 2135300*s**2 + 17082035*s - 19217340 = 0.\nAnswer: -427052, -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*s**3*t**3 + 15553067*s**3 - 2*s**2*t - 66*s*t**3 + 2*s*t - 832*t**3 wrt t.\nAnswer: -126*s**3*t - 396*s*t - 4992*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 7*s - 104. Calculate i(18).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -96 in -4, -1, 6, -0.2, -3\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + j - 1)*(-20*j - 80 + 80) + 0 - j**2 + 0.\nAnswer: -21*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5481 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**5\/20 - 11*b**4\/12 + 5*b**3\/2 + b**2\/2 + 31*b. Let q be c(6). Let n = q - -97. Does n = 28\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3071410 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 30 = -10. Let v = 5 + t. Is -6 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.12 - 0.15518.\nAnswer: -1.27518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + j - 3. Let h(a) = a**2 - 2. Let r(k) = 3*g(k) - 2*h(k). Let u(m) = -1. Determine -r(p) + 3*u(p).\nAnswer: -p**2 - 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.006, -33, -2\/37?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*h - 10 = 0. Suppose 4*q + f + h*f - 8 = 0, 3*f - 10 = -5*q. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c = -4*b - 9*c + 952, -b + 5*c + 218 = 0. What is the greatest common factor of b and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -406*m + 406*m + 21*m**3.\nAnswer: 21*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f - 16 - 12. Put 4, 5, f, 1 in descending order.\nAnswer: 5, 4, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -4*j**3 - 7704*j**2 - 3717168*j - 7403552 = 0.\nAnswer: -962, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8252518839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k. Let y(t) = -2975*t. What is y(p(x))?\nAnswer: 2975*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*c = 2*g + 14*c - 24463, 0 = -2*g - 5*c + 24473. Let a = g - 6253. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + -3*(sqrt(320)*1 - sqrt(320)) + (-3 + sqrt(320) + (sqrt(320) + 1 - sqrt(320)))*2)**2.\nAnswer: 2560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 1474 = -2*o, -5*r + 734 = -2*o + 3*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -294, -1088, -2410, -4260, -6638, -9544?\nAnswer: -12978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -37. Suppose 3*g - y - 1 = 0. What are the prime factors of g\/(-10) - (-882)\/45?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2374*d**3 + 4*d + 195. Let s(f) = 4*f**3 - f - 2. Let y(u) = r(u) + 2*s(u). What is the second derivative of y(t) wrt t?\nAnswer: 14292*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 927, 2, -4, -15 in descending order.\nAnswer: 927, 5, 2, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*t**3 - 5*t + 5*t + 73*t**3.\nAnswer: 17*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -z + 8. Suppose z*p - 5*m - 27 = -0*m, -33 = -5*p + m. Let x(b) = 0 + p - 205*b + 202*b. Give x(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1.598539 milligrams?\nAnswer: 1598.539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1608 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-252)\/(-117) - (33\/(-39) + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (56 + -47 - 7)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 117 by 1.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 55*s = -57*s - 8, 2*z + 25*s = -48 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 590 + 320?\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13659954 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 8. Let i be s(8). Suppose -5*m + 4 = -6. Let k(u) = u**2 - 1 - 2*u**m + 6. Determine k(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4\/7, 742, -1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2500 - 760 = 0. What are the prime factors of q?\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f**3 + 5*f**2 - 2*f - 7. Let w(n) = 2*n**3 - 2*n**2 + n + 3. What is 4*c(i) + 10*w(i)?\nAnswer: 4*i**3 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4 - 30*l**3 - 189*l**2 - 292*l - 132.\nAnswer: -(l + 1)**2*(l + 6)*(l + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-10 + 7 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 499 (b) 8 (c) 267 (d) -1 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, -4863, -58, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96*(-9)\/126*-28*(-15)\/(-120).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t + 1. Let i(m) = -6*m + 5. Let q(d) = d. Let r(v) = i(v) - 6*q(v). Let n(k) = -2*r(k) + 9*y(k). Differentiate n(l) wrt l.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2821637183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 - 3351*t + 16780.\nAnswer: -(t - 5)*(t + 3356)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 999672934.\nAnswer: 2, 13, 31, 563, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 0.1, -1.3 in decreasing order.\nAnswer: 2, 1, 0.1, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 10 = 3*i, -9 + 35 = m - 6*i for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.33, 3.4, 0, -5 in decreasing order.\nAnswer: 3.4, 0.33, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 10 - (54 + -35).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.5541 > 2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-1 - (2 - 0)) + 4 - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 14175 = -3*f + 3*k, k - 23641 = -5*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32499.26mm in centimeters?\nAnswer: 3249.926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 7 = 4*v - 3*v, 2*j + 6 = 2*v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -f - 3*k + 7*k, 5*f + 2*k = 25. Suppose f*j + 15 = 2*z - 15, j - 4 = 0. Calculate the remainder when z is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 398 + -346. Suppose 3548 = 56*r - s*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 89?\nAnswer: 3\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 115.098 to zero decimal places.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1546 bigger than 1546?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(-15 + (-4)\/(-4)). Let b = x - -20. Solve 3*p = -b, 3*f + 2*f - 4*p + 7 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2180937 and -48043469?\nAnswer: 48043468.7819063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 3 (b) 0.18 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1024 divided by 8\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, 0.1, -69757, 2\/23, -3\/5, -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 27*q**2 - 86*q - 208. Give j(23).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -4*z + 4*x + 124, -72*z - 95 = -71*z + 4*x for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((576\/56)\/(-36))\/(82\/14).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -40908.3 rounded to the nearest one thousand?\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5073*w**4 - 6350*w**2.\nAnswer: -121752*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 265288, 265290, 265292, 265294?\n\"Answer: 2*g + 265286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 + 7*d - 31 - 11.\nAnswer: 7*d - 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-156)*234\/26*(-2)\/3?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2250007969.\nAnswer: 11, 5701, 35879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 3. Let m(n) = -n**2 - 10*n - 11. Let j be m(-9). Let t be j\/(-5) + 6\/(-15). Let y be z(t). Solve w - 2*r - 6 = 0, 3*w = y*r + r + 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a. Let z(m) = -5*m + 12. Let l(c) = -6*q(c) - 2*z(c). Calculate l(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 2:39 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) + sqrt(225))\/sqrt(3) + -1.\nAnswer: -1 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f*q**3*y - 6713*f*q**3 + 20*f + q**2*y - 4*q**2 + 2*q*y wrt q.\nAnswer: -6*f*y - 40278*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 2068320.\nAnswer: 14478240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -150 - -155. Suppose v*a = 7*t - 3*t - 431, 4*t - 434 = 2*a. List the prime factors of t.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85050 and 45150.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12589*f**3 + 215274*f**3 + 74487*f**3 - f + f.\nAnswer: 277172*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-10)*(-40)\/(-300).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from viiiiiviiii. What is prob of sequence vv?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -8*d + 1. Let z be q(-1). Let g(x) = 6*x**2 - z + 9 - 11*x**2. Let o(p) be the third derivative of p**5\/20 - 3*p**2. Determine g(o(r)).\nAnswer: -45*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 269*x**3 + 4*x**2 + 307*x + 304. Give t(-1).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-8)\/6) - 495\/60. Is d\/(63\/49) + 3996 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-0.07.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3*k**5\/5 + 62712*k**4\/5 - 447173088*k**3\/5 + 231063675150*k**2 - 483056942738013*k\/5 - 484212708349566\/5 = 0?\nAnswer: -1, 514, 6797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5173.494t?\nAnswer: 5173494000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q**3\/3 - 498*q**2 - 887149*q\/3 - 7614738 = 0. What is q?\nAnswer: -433, -27, 1954","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3*(sqrt(60)\/(sqrt(48)\/sqrt(4)) - (sqrt(5) + sqrt(80)\/sqrt(4))**2 - (sqrt(20) + 1 + sqrt(140)\/sqrt(7))))*4.\nAnswer: 36*sqrt(5) + 564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 676*a + 1158*a + 298*a as c + z*a and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n*w**6 - 1197*n*w**3 - 173*n*w**2 + 24*n*w + w**3 + 2*w**2 wrt w.\nAnswer: -120*n*w**3 - 7182*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31 - 2*w**5 - 40 + 198 + (-5*w**3 + 4*w**3 - w**3)*(0*w**2 + 0*w**2 + 2*w**2).\nAnswer: -6*w**5 + 189","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 6*o + 3. Let h be u(3). Let w = 31 - h. What is the greatest common divisor of 2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223*d - 34 = 206*d. Suppose 0 = -3*f - 3*n + 2*n + 110, 94 = 3*f + 5*n. Calculate the greatest common divisor of d and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3\/r**(-3\/4))\/(r\/(r\/(r*r*r\/r**(-6\/5)*r))*r*r**(2\/9)) assuming r is positive.\nAnswer: r**(-481\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/5)\/((-404)\/(-7070)) - (-3)\/(-1). Let c = -0.7 + 1. What is the third smallest value in z, 5, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.547 from -75.50081.\nAnswer: -74.95381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -1220011110002211?\nAnswer: -1220011110002211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 82735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, d: 3, y: 2, j: 1, z: 2, h: 4}. What is prob of picking 1 c and 1 d?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3 + 7*f**2 - 1. Let o(q) be the third derivative of -17*q**2 + 0*q + 1\/10*q**5 + 0*q**4 + 0 - 1\/6*q**3 + 1\/60*q**6. Give -5*l(s) + 6*o(s).\nAnswer: 2*s**3 + s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1540\/23783 not equal to -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 605 and 21340?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 a when three letters picked without replacement from {a: 1, y: 12}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-546)\/(-1014)*((-330)\/(-50) + -4)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 - -53. Suppose 13*z = v*c + 9*z + 90, -5*z = 5. Sort c, 2, 3 in decreasing order.\nAnswer: 3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -215 + 673. List the prime factors of w.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1034088?\nAnswer: 2, 3, 11, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - v + 1. Suppose 5*b + 10 = 2*i - 5, 0 = b + 3*i + 3. Calculate n(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5091 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -114 in 4, -46, -22?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**5 + b**3 + b**2 - 1. Let t(u) = 33*u**5 + 5*u**3 - 18*u**2 - 5. Let p(j) = t(j) - 5*x(j). What is the third derivative of p(a) wrt a?\nAnswer: 1680*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 + 2*r + 5. Let h(c) = 2*c + 7. Let l(k) = -3*k - 10. Let s(w) = 7*h(w) + 5*l(w). What is -b(v) - 4*s(v)?\nAnswer: -2*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 540, 936, 1332, 1728?\nAnswer: 2124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3\/x**(-5\/2))\/((x**0\/x)\/x**(2\/7)) assuming x is positive.\nAnswer: x**(95\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 5:06 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 46*b**3 - 30*b**2 + 16*b + 16. Let g(z) = -9*z**3 + 6*z**2 - 3*z - 3. Let k(c) = 16*g(c) + 3*y(c). Find the third derivative of k(l) wrt l.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1842321, -1842318, -1842315?\n\"Answer: 3*c - 1842324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 4 = -3*k. Suppose -k*z = -64 - 26. Suppose -1 = -2*m - 7, m + z = 5*g. Solve 2*f = 2*j, g*j - 4*f - 21 = 6*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2))**(-8\/7)\/(g\/g**(-2\/25)*(g*g**(3\/5)*g)\/g))**(4\/19) assuming g is positive.\nAnswer: g**(-276\/3325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-156)\/18*3\/(-2). Suppose -31 = -2*a + f. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 12 = 4. Suppose 0 = -j - 1 + n. Calculate the remainder when 17 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -3. Suppose 2*x + 12 = b*x. Solve -5 = 5*i - 3*j, -2*i + x*i = -5*j + 29 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1082142679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6174086, 6174081, 6174076, 6174071, 6174066, 6174061?\n\"Answer: -5*p + 6174091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1301 (base 4) in base 13?\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2300699?\nAnswer: 337, 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 598 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.9 + -11.9. Let r = -0.236 + -0.2. Let d = r - -0.036. Sort -0.3, l, d in ascending order.\nAnswer: l, d, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*f = 207*f - 78*f + 1820 for f.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**5\/5 + 128*y**4\/5 + 8884*y**3\/5 + 33792*y**2\/5 + 25038*y\/5 = 0. What is y?\nAnswer: -39, -3, -1, 0, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -7\/4, 2\/31, 5 in decreasing order.\nAnswer: 5, 2\/31, -1\/2, -7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21596 divided by 21596.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.62 - -0.02. What is the closest to -1\/4 in -1, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -189.2 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -33872670 and 30.\nAnswer: -33872640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008484345 to six decimal places.\nAnswer: 0.000848","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = s - 8. Suppose -f = s*c - 32, -3*c - 24 = -2*f + 12. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 34*w - 37*w. Suppose c - 4*c = -207. Suppose -21 = 3*z - c. Calculate the greatest common divisor of w and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 - 120474*o - 1566522. Determine x(-13).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1125344069 to the nearest integer?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2056347 (base 8) to base 14\nAnswer: -103a3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 12 - 14 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/4)\/((-4)\/(-8)). Calculate the lowest common multiple of 6 and (-2)\/((-2)\/a) - -5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350*q = -347*q + 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(52\/8)\/(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2444359 is divided by 203682?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 13*l = -11*l - 29, -5*m - 4*l = 17. Put 89, m, -1 in increasing order.\nAnswer: m, -1, 89","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2247 and 3639818679?\nAnswer: 2247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 4*p**2 + 3 + (-p + 2*p + p)*(20*p - 3*p - 5*p) to s*p + j + g*p**2 and give g.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i = 2*i + 70 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8 - -9)*(2 - 1). What is the remainder when 6 is divided by 2*g\/(1\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2709566.311 less than 1.4?\nAnswer: -2709564.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -310353 + -4004?\nAnswer: -314401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -695*l**3 + 315*l. Let d(k) = 3*k. Let p(m) = -2*d(m) + r(m). What is the second derivative of p(g) wrt g?\nAnswer: -4170*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 - 8*h**4 - h + 10*h**4 - 5*h to a*h**4 + y*h**2 + u + i*h**3 + t*h and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 623 + 1602 = 5*r, -2*r + 2*d = -904. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*i**2 + 0*i**2 - 9*i**2 + i**3 in the form o*i + q + n*i**2 + w*i**3 and give n.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -26 (b) 0 (c) 85\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -599 + 3188 = -70*l - 4761 for l.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*p = -0*p + 44, -3*i + 117 = p. Let x = 8 + 19. Let y = i - x. Solve -9 = -4*g + y for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-36)\/63)\/((-1)\/7). Suppose -g*u + 34 = -2*u. Suppose 7*w = 8*w - u. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-1 - -7) + -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1087828, -2175672, -3263518, -4351366, -5439216, -6527068, -7614922?\n\"Answer: -i**2 - 1087841*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = v + 5*a - 8*a, 5*v = -a + 5. Let q = -954 + 2863\/3. Suppose 4\/3 + q*j**v + 4\/3*j = 0. Calculate j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v**2 + 4*v. Let y(m) = m**2 - 6*m + 135. Give -y(r) - z(r).\nAnswer: 3*r**2 + 2*r - 135","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -376 + 387. Which is bigger: x or -2.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 7*v - 3 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 3, 3694, -3\/4, -2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.61343kg to nanograms.\nAnswer: 59613430000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*l + 26*l = -30320. Suppose 0 = -14*v + 6*v + l. Let n = v - -156. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -5 (c) -9 (d) 10 (e) -0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5875 and 675?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -30. Suppose -5*d - 20 = 0, 0 = -2*f + 3*d - d + y. What is the remainder when 24 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 182*z - 913. Let l be h(5). Which is the third biggest value? (a) l (b) 0.4 (c) -5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 8:04 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {t: 2, b: 2, z: 1, p: 1, c: 1, f: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16765372 is divided by 489?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23)\/(-276)*66)\/((-6)\/4).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 475055*j*r - 2281*r + 9268 wrt j?\nAnswer: 475055*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 8. Let p be y(-3). Suppose 0 = 4*r - 5*v - 43, -p*r + 0*r = v - 32. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i. Let t(a) = -2514*a**2 - 13*a + 1440. Determine q(t(y)).\nAnswer: -2514*y**2 - 13*y + 1440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**6\/120 - d**5\/15 - 5*d**4\/6 + 11*d**3 - 9*d**2 - 3. Let s be r(5). Is -10 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*w - 9*w + 16*w)*(-11*w**2 - 4 + 4).\nAnswer: 77*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1876, 3585, 4946, 5785, 5928, 5201, 3430?\nAnswer: 441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 579554 and 36.77?\nAnswer: 579517.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k*x**2 + 607*k*x + 1242558*x**2 + 72964*x wrt x?\nAnswer: 2*k + 2485116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(-3*sqrt(24)).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**0\/y)\/y*(y\/(y\/y**(-6)))\/y*((y\/y**(1\/2))\/y)**(-19))**(-17\/3))**(-17) assuming y is positive.\nAnswer: y**(289\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d - 1. Let q be z(-1). Let j = -149 - -222. Let s = j - 366\/5. Which is the closest to q? (a) s (b) -4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -2. Suppose k*d = 4 + 16. What is the remainder when 19 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -173 (b) -0.11 (c) -2 (d) 2\/13 (e) 36\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 53*r**2 - 7*r + 19. Let d be g(3). Let n = d + -209. List the prime factors of n.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*1439\nAnswer: 719.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 270 and 1489374.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 76?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 3) to base 7.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 5, -2, -762, 3 in increasing order.\nAnswer: -762, -4, -2, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 546857*k**3*l**3 + 10*k**3*l + 22012621*k*l**3 wrt k?\nAnswer: 3281142*k*l**3 + 60*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -203\/8910 and 61\/57690.\nAnswer: 5711310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -519812 * -11.\nAnswer: 5717932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + z**2 + 5. Let m be l(0). Sort -2\/7, -3, m.\nAnswer: -3, -2\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**3 + 158*c + 2 + c**2 - 311*c - 3*c**3 + 154*c to k*c**3 + h + d*c**2 + o*c and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-2) + 2\/4. Suppose v = -4*u + u + 18. Is u\/(-4)*-2 - -20 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-75)\/20)*(-5)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 175, -0.1, -0.4, -65, -0.06, -0.079?\nAnswer: 175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -9873*s**3 - 5*s**2 + 5*s + 2. Let y be v(-6). Suppose 19*n + 384360 = y. What is n rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1734 + 1734. Sort -1, w, -2\/5, 2\/3 in descending order.\nAnswer: 2\/3, w, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffdyxyfymdfyfynyy. Give prob of picking 1 f, 1 m, and 1 x.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 502407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -6*u**2 - u. Suppose 7 = -4*l - 2*n + 47, 5*n - 10 = 0. Suppose l = 29*h - 20*h. Determine f(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -103209\/2135 + -25\/427. Let z = 49 + p. What is the biggest value in z, 0, -3, -3\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.826 - -35.894. Let b = -39 + w. Let f = b - -0.23. What is f rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 738, -1, 3, -5, 0.5, -8\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 - 3. Let s = j + -41. Let r = -20 + s. Solve -r*c = -c + 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260*n - 559 = -303*n. Sort 5, n, 0, -4.\nAnswer: -4, 0, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 54. Let s(z) = -2*z - 198. Give s(c(u)).\nAnswer: 2*u**2 - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**7*c)\/c)\/((c**(-1\/7)\/c*c)\/c)*(c*c**3*c)\/c**(-2) assuming c is positive.\nAnswer: c**(106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 25. Let b be k\/(-63) + 2\/3. Let b*p**2 + 2\/9*p**3 + 0*p + 0 = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 8, a: 2}. What is prob of sequence xaxx?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3000564899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**4*a)**(-4\/9)*a**12*a**29\/a assuming a is positive.\nAnswer: a**(340\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 20*b - 18. Let t(c) = -94*c + 92. Let y(v) = -6*t(v) - 28*w(v). Determine y(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9135 and 56.\nAnswer: 73080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 9*o + 25. Suppose -48*d - 642 = -546. Let j(b) = -b - 21. Let t(q) = 11. Let w(l) = -3*j(l) - 5*t(l). Let y(m) = d*h(m) + 7*w(m). What is y(-9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 12. Let r(v) = 3*v + 12. Let p(w) = -3*w - 4. Let n(i) = -3*p(i) - 4*r(i). What is -11*c(g) - 4*n(g)?\nAnswer: g + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (4 + (-3 + -4 - -8)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 - 2*f**2 + 6*f**4 + (-f**2 + f**2 - 2*f**2)*(-3*f**2 + f**2 + f**2) + f**4 - 34*f**3 + 14*f**4 + 36*f**3.\nAnswer: 23*f**4 + 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.1 - -1.2. Let d = -1.3 - z. Which is the second smallest value? (a) 2\/5 (b) d (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -1217314700?\nAnswer: -1217314701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.425 times 3?\nAnswer: 1.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31098, -31103, -31108, -31113, -31118?\nAnswer: -31123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - -5202030?\nAnswer: 5202020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 a factor of 170075930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -21*u**2. Let c(t) be the third derivative of t**7\/2520 + 35*t**4\/24 + t**2 - 56. Let r(x) be the second derivative of c(x). Determine r(h(b)).\nAnswer: 441*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9*-2*(-387)\/(-16856)*-28?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4241, -9, 0, 80.\nAnswer: -9, 0, 80, 4241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.09 + 0.06. Let y = u - 0.27. What is the closest to 2\/7 in 2\/7, y, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 764.7 times 21.9\nAnswer: 16746.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 + 68*j - 66.\nAnswer: -2*(j - 33)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 4*r + 5, 4*m = -r + 160 - 175 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -157*a**4 - 37005*a**3 + 37005*a**3 + 3*a - 3*a + 2*a**4 + (3*a**3 - 2*a**3 + a**3)*(1 + 2*a - 1).\nAnswer: -151*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**5 + 2*f**5 - f**5 + (9 + 3*f**2 - 9)*(4*f**3 + 180*f + 175*f - 359*f).\nAnswer: 10*f**5 - 12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p**2 + 117*p - 903. Determine r(10).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**4))**(-1\/30)*d**(2\/15)\/((d*d**(-1\/19))\/d) assuming d is positive.\nAnswer: d**(91\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -11750.4 to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by -2006.\nAnswer: 19\/2006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-3 + -3 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24899, -50693, -78265, -108503, -142295, -180529, -224093, -273875?\nAnswer: -330763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -1\/9*d**3 + 46\/3*d**2 + 3 - 2116\/3*d. Find w such that v(w) = 0.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (9 - -1) - (-4 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 2. Let p(t) = -t**2 - 23*t - 45. Let n be (7\/3)\/(54\/(-486)). Let u be p(n). What is g(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 246 = -2*l. Let v = -13029\/7 - -287233\/154. Find the common denominator of ((-4)\/(-12))\/((-8)\/l) and v.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 102 = 4*x, -4*x + l + 41 = -70. Suppose -24*m = -x*m - 6. Let p = -10 - -9. Which is the fourth biggest value? (a) 14 (b) 0.5 (c) p (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 101 and 14011124?\nAnswer: 14011124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (8 - 5))*9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.414912 - 2.42. What is v rounded to four dps?\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 9*a + 24. Let v be i(5). Is (v\/(-12))\/((1\/(-9543))\/1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/20)\/(h*h\/(h\/h**12)*h*h*h))\/(h**4)**27)**(-1\/5) assuming h is positive.\nAnswer: h**(2481\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.031, 3587, 0.1 in decreasing order.\nAnswer: 3587, 0.1, 0.031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 7) in base 13?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c*(c\/((c*c**14*c*c)\/c))\/c)\/c))\/c**(-6\/5))**(2\/7) assuming c is positive.\nAnswer: c**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 7, 3, 0.2, -2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o - 3*o + 3*o)*(0*o + o - 2*o) + 0*o + 0*o + 2*o**2 + (3 + o - 3)*(140 - 140 + 31*o) to the form s + x*o**2 + l*o and give x.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a0d (base 15) to base 11.\nAnswer: -4266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eejfqeejqqeequee. What is prob of picking 1 e and 2 q?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(112) - (sqrt(112) - (sqrt(112) + (1 + sqrt(112) - sqrt(112)))))*1*4)**2.\nAnswer: 288*sqrt(7) + 1873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -1163*a**2 - 9*a + 108. Let x(n) = 581*n**2 + 4*n - 60. Determine -5*d(w) - 9*x(w).\nAnswer: 586*w**2 + 9*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + r - 13 = 0, 2*w - r = 2*r - 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1505*p + 27280 - 820*p - 26224 + 1771*p wrt p?\nAnswer: 2456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 3*q + 3*q + q**2 + (4*q**2 - 2*q**2 - 4*q**2)*(-371 - 122 + 47 + 25) as o*q**2 + x + s*q and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1369750400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 159, 18, -203, -510, -909, -1406?\n\"Answer: -x**3 - 34*x**2 - 32*x + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 5*q**2 - 5*q + 3. Let x be u(3). Suppose x*i - 5*p = 3*i + 95, -i = 2*p - 28. Calculate the least common multiple of 93 and i.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*m = -49*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4386377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-159)\/530)\/((-4)\/(16\/9))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/89 (b) -0.5 (c) 4 (d) 2\/7 (e) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81211 = -723*s + 3835*s + 3135*s for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 111721088?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/70 + (-6)\/(-21)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -682, -2730, -6142, -10918, -17058?\n\"Answer: -682*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3635 - -785. Let s = o - -2838.39. Let i = s - -11.60998953. Round i to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 768\nAnswer: -1\/768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 702 - 315. Does 386 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 33591\/6074?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 7*j - 5. Let g(t) = -2*t - 4. Let p be g(-6). Let m be s(p). Suppose -4*u = -m*y - 0 + 1, -5*y - 29 = u. Put 1, 2, y in descending order.\nAnswer: 2, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 10*j**3 - 42*j**2 + 19*j + 107. Is x(18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38.1 greater than or equal to -7.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 3.96. Let g = m + -0.56. Let t = 1.4 - g. Which is the third biggest value? (a) 3 (b) t (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -119852?\nAnswer: -119847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**2 - 77*a**3 - 478*a + 478*a - 40 + 42 in the form f + l*a**2 + s*a + b*a**3 and give b.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -16 - (0 - (2 - 0)). What is the remainder when 2\/7 - 514\/p is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01111591 to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -124791000 rounded to the nearest 1000000?\nAnswer: -125000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 170.1 in 4, -209.1, -12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 688 - 389.5. Let m = -299 + u. Let r = -1.3 + 0.3. What is the closest to r in -2, -0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + (0 - -44) + (2 - -3) + 14.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 3*o - 2. Let u be h(1). Suppose 53 = 4*a - 3*k - 2*k, -3*a - u*k = -34. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14370, 28720, 43072, 57426, 71782?\nAnswer: 86140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -5*a**5 + 37410*a**4 + 262080*a**3 + 262190*a**2 - 561675*a = 0.\nAnswer: -5, -3, 0, 1, 7489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**3 + k**2 + k - 1. Let l(q) = 12*q**5 - 1272*q**4 - q**3 + 947*q**2 + 314*q + 4. Let t(r) = 4*f(r) + l(r). Find g such that t(g) = 0.\nAnswer: -1\/2, 0, 1, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -514, 1920, 8494, 21278, 42342, 73756, 117590?\nAnswer: 175914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w + 15*w = 102. Is (-4358)\/w*(-54)\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -582675*b**2 - 511039.\nAnswer: -1165350*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from oooaaoooaaoaoooooao?\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 21 - 7 = 0. What is the units digit of ((-777)\/x)\/((-2)\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11633370 by -375270.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -3. Suppose 114 = 5*m + 2*f, 158 = 3*m + 4*f + 84. What is the greatest common divisor of m and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (26 - 50) - (-1 + -8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -51*w**3 + 2*w**2 + 2*w + 54. Let j(i) = -53*i**3 + 3*i**2 + 3*i + 54. Let k(n) = 2*j(n) - 3*v(n). Differentiate k(p) wrt p.\nAnswer: 141*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*c**3\/2 + 9250439*c**2\/6 - 22709820380*c\/3 - 48216200\/3 = 0. Calculate c.\nAnswer: -1\/471, 9820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 558 and 7626.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 + 48*k - 30. Let u be y(-25). Let r(c) = u*c + 0*c - 8*c - 9*c - 4*c. Let x(j) = -28*j. Determine x(r(t)).\nAnswer: 28*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 11*u**2 - 7*u + 1. What are the prime factors of o(10)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.378 rounded to 1 decimal place?\nAnswer: 8.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**8)**(1\/25))**(1\/32) assuming g is positive.\nAnswer: g**(1\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 261 and 999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 1\/4*s**4 + 1\/20*s**6 - 1\/140*s**7 + 0 - 2*s**2 - 1\/4*s**3 + 0*s - 3\/20*s**5. Determine i so that h(i) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 738416?\nAnswer: 738418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -1) + -1 + -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -147, -358, -703, -1176, -1771, -2482, -3303?\nAnswer: -4228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13\/(39\/(-2016)) - -2. Let x = r + 1119. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 6*p - 5. Let l be u(-7). Suppose -l*t = -0*t + 10. Let h = 7 + t. Solve 0 = q - 2 - h for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 + 2*o + 14. Suppose 2*y = -16 + 4. Let l(r) = -6*r**2 - 7*r - 41. Let j(x) = y*l(x) - 17*a(x). Factor j(d).\nAnswer: 2*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c082 - 4?\nAnswer: -c086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 10:36 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 9*y**2 + 7*y - 400. Let d(a) = -11*a**2 - 9*a + 399. Calculate 4*d(r) + 5*u(r).\nAnswer: r**2 - r - 404","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -374428224 divided by 108?\nAnswer: -3466928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53.369 + -15.176. Let u = n + 69. Let i = 0.055 - u. What is the second biggest value in 3\/8, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 952 + -966. What is the biggest value in -1, b, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*y**2)*((4*y + 3*y - 5*y)*(6*y - 3*y - 4*y) + 3*y**2 + 19*y**2 - 15*y**2).\nAnswer: -10*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39080 + -16361. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -20222?\nAnswer: -20223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 8:58 AM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l - 6. Let a(q) = q + 1. Suppose 0 = -4*k + 8 + 12. Let n(b) = k*a(b) + d(b). Calculate n(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2806 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4539*b**5 - 1888*b**2 wrt b?\nAnswer: 272340*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 6*u + 6. Let t(v) be the second derivative of v**3\/6 + v**2\/2 + 7*v. Let j(i) = -6*p(i) + 34*t(i). Suppose 2 = -3*s - 7. Determine j(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (-4971)\/(-711) + -4. Let n = 460\/1659 - f. Suppose 0*s + n - 2\/7*s**2 = 0. Calculate s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5.748379 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 17*l**3 + 38*l**2 + 15*l + 115. Determine b(-6).\nAnswer: -2279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.17 + 1.77. Let z = 1.67 - o. Let s = z + -0.47. Which is the nearest to -2\/3? (a) 3 (b) s (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -5, 170, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 260.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**41\/w*w)\/(w**(2\/17)\/w))**(10\/19) assuming w is positive.\nAnswer: w**(7120\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14438 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkdk when four letters picked without replacement from kkkkkkkkdkkkk.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62687, -62647, -62607, -62567?\nAnswer: -62527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28936 is divided by 4431?\nAnswer: 2350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 10*h**2 - 10*h - 45. Let m(n) = 7*n**2 - 7*n - 30. Let o(p) = 7*m(p) - 5*y(p). Does 15 divide o(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.208848l in millilitres?\nAnswer: 9208.848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/18)\/(-1)*8\/6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f + 5*f + f + (-33 + 13 - 10)*(-6*f + 4*f + 4*f) + 5*f + 6 - 6.\nAnswer: -53*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 124 - 123.933. Let c be 5\/((-2240)\/(-84) + -25). What is the second smallest value in 4, -2\/3, c, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o. Let a(j) = -2*j. What is b(a(t))?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**3 + 2*m**2 + 2*m - 2. Let y be b(1). What is the closest to y in -0.05, 1, 1\/4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s**(-2\/19)*s*s)\/s))\/s**(6\/7)*s**(-2\/19)*s*s**4)**(1\/46) assuming s is positive.\nAnswer: s**(29\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1556 + 2366. Solve g - 780 = 5*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 873 = -3*s, 2*u + 5*s + 135 = 1876. Calculate the highest common factor of u and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 - q + q)*(10*q - q - q) + 3*q**4 - 2*q**4 + q**4.\nAnswer: -6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*a - 8 = 1732 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -5*g**5 + 2280*g**4 - 20145*g**3 + 13330*g**2 + 35760*g = 0.\nAnswer: -1, 0, 2, 8, 447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 549560.2 centimeters?\nAnswer: 5495602000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 7536?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k + k + 4*k)*(1 + 0 + 0) + 0*k - k - k + (30*k - 7*k - 9*k)*(-2 + 4 - 3) as l + q*k and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -228*c**3 - 20*c**2 - 11*c + 3. Is p(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82 + -82. Let g be 0\/(0 - 2) + (6 - h). Suppose -3*y + 28 = -2*u - g, 0 = -2*y - u + 11. Which is smaller: y or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - (-1 - -2)) + 0 - -6. Suppose 2*x - n - 99 = 60, -4*x = -b*n - 333. Let d = x + -28. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -187\/1170 and 3\/130.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-224634)\/(-60) + 2\/20 + (1 - 9) is divided by 113.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/105*1\/(-1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 83486141 divided by -4\nAnswer: -83486141\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*q**5 + 6522*q**3 - 7*q**2 - 32*q + 1009486 wrt q.\nAnswer: -580*q**3 + 39132*q - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) 0.6 (c) 2 (d) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -7*x + 354. Let g = x - 72. Suppose 2*i = -3*i + g. Solve 3*n - 5*v - 1 = i, 3*v - 14 = -5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -130 - -132. Suppose -d = 3 - 8, 3*r - v*d - 233 = 0. Calculate the lowest common multiple of 81 and r.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2176 and 22729?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2996 - -1 - 18\/(-6). Let m = -5 + 2. Let s be (q\/(-9))\/(m\/(-5400)). What is s rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -78141, -156290, -234439, -312588, -390737, -468886?\n\"Answer: -78149*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 169889856 divided by 1769686?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 0*t + t)*(-2*t**4 + t**4 + 2*t**4 - 3*t**3) + 2*t**5 + 4 - 4.\nAnswer: 4*t**5 - 6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-456)\/2128*238\/(-3)*1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -263115277 and 21?\nAnswer: 263115298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/12 + 0 - (-415)\/(-2). Let t = 208 + x. Factor 0 - 1\/2*w**5 - 7\/4*w**4 - t*w**2 - 9\/4*w**3 - 1\/4*w.\nAnswer: -w*(w + 1)**3*(2*w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a - 18 + 18 + 14*a**2.\nAnswer: 14*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -65*l - 85*l + l**4 + 83*l + 4*l**4 - l**4 - l**4 + (-1 - 1 + 3)*(-4*l**4 + 5*l**4 - 2*l**4) - l + l**4 + l - 4*l**4 + 2*l**4 + 3*l**4.\nAnswer: 4*l**4 - 67*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 6 + 86 = 0. Let x be g\/2 + (1 - 3). Suppose -2 = x*d - 4*d. Let l(p) = p**2 + 2*p + 1. Calculate l(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4*z - 12 = 0, 4 = -3*i - 10*z + 8*z. Suppose 2 - 10 = -2*d. Calculate the least common multiple of (1 + -3)*11\/i and d.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 + -1. Let x = -42.25 - r. Which is the third smallest value? (a) x (b) 4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 629450967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/9975 and -41\/630.\nAnswer: 59850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 96*k - 101*k - 5, 4*o = 4*k - 8 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - g + 5 = 0, -5*m + g = -g - 4. Suppose -2*w + 5 = -3*h - 1, -5*w - m*h = -15. What is the remainder when 17 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/206370 and -16\/227007.\nAnswer: 2270070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.31 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-428)\/321)\/((48\/(-27))\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 1) + -3 + -1. Let y be (-8)\/n + 5 - 3. Solve x - 3 = y*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 d when four letters picked without replacement from dcjcncdjcdcjc.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.7 + -1.3. What is the third biggest value in 4, x, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 12*a + 195 = 0. Sort -5, 4, a in increasing order.\nAnswer: a, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of p**7\/420 + p**5\/10 - 2*p**3\/3 + 25*p**2. Let b(d) be the first derivative of s(d). Find the second derivative of b(v) wrt v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22750300 divided by 50.\nAnswer: -455006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, c: 5, v: 1, d: 1, u: 1}. Give prob of sequence yydy.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*v - 830*v**2 + 120*v - 476*v**2.\nAnswer: -1306*v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 34, 3, -54, -149, -294?\n\"Answer: -2*k**3 - k**2 - 14*k + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b. Let z(k) be the first derivative of -4*k**2 + 21. Calculate z(n(x)).\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8+2176399154\nAnswer: 2176399146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 3) + -5 - (1 + -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6984013?\nAnswer: 67, 104239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 931, 940, 961, 1000, 1063, 1156?\n\"Answer: o**3 + 2*o + 928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 65, 112, 159, 206, 253?\n\"Answer: 47*l + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*k - 10 = -5*o, 3*o = 2*k + 8. Let b be 42\/(-12)*(-1 - -3). Let z = b + 9. Solve -3*r + 10 = k*y, 0 = 3*r + 3*y - z*y - 11 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 2. Suppose -r - 4*r = 125. Let m be (-90)\/r + 6\/(-10). Give q(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1194.863 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -25*n - 167. What is l(-6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60 + 60.1. Let y = 0.23 - -0.07. Let a = y + 1.7. Sort a, 0.4, t in ascending order.\nAnswer: t, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13.01, 9\/8, 0.04, -2\/51?\nAnswer: -13.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 16\/(-10))*5. Let g = d + 9. Suppose 2*j + j = 15. Calculate the lowest common multiple of g and j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1325.12 rounded to the nearest ten?\nAnswer: -1330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -1, 5 in descending order.\nAnswer: 5, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 0*w + 2*w)*(58*w - 77 + 77)*(-6*w**3 + w**3 + 3*w**3).\nAnswer: -232*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**12)\/l*l)\/(l*l**(-13)\/l)*l**37\/(l\/(l**(-3\/10)*l)) assuming l is positive.\nAnswer: l**(627\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85.2 + -85. Does n = 6\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73800 by 1025.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 73 = 3*j, 0*j + 3*z = 5*j - 143. Suppose -3*q + 5*y - 72 = j, -3*q - 73 = y. Let p = 30 + q. Sort -9, -1\/8, p in descending order.\nAnswer: p, -1\/8, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuvvvvvjvvuj. Give prob of sequence uj.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - 1. Suppose 3*l + 4 = -i, 0*l = 5*l - 4*i - 16. Let x = t - l. Let k(b) = b**2 + 6*b - 5. Calculate k(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u + 4. What is the tens digit of s(-17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(80) - 1*sqrt(80)) + (-4*(1 + sqrt(5)) - ((sqrt(45))**2 + 3)).\nAnswer: -52 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 2*o + 3. Let z(d) = 1. Let v(a) = -2. Let x(k) = -2. Let c(f) = 4*v(f) - 6*x(f). Let w(i) = -c(i) + 5*z(i). What is -m(t) + 2*w(t)?\nAnswer: t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiaiiiaiiiiaiiiiiii. What is prob of picking 4 i?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**3 + 0*l**3 + 7*l**2 + 8 + 3*l**3 + 3*l. What is the tens digit of a(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/70*(-10)\/2560*5. What is the nearest to 3 in p, 4, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -259*l**2 - 26*l - 124. Let z(y) = -47*y**2 - 5*y - 25. Let h(f) = 2*d(f) - 11*z(f). Calculate h(9).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**2*p + 3575*n**2*z**2 + 2*n*p*z**2 - 4*n - 7*p*z**2 - 2*p wrt n.\nAnswer: -2*p + 7150*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -187, -385, -595, -817, -1051, -1297?\n\"Answer: -6*o**2 - 180*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 9:05 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/1827 + (-31)\/63?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9130 + 225 - 685 = 510*x for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dmhdjjfdjjhjjhjjhj?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 360 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 130222402 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((28372\/438126)\/173)\/(1\/13).\nAnswer: 2\/411","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -157 + 37*m + 157 in the form s + r*m and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.2 + -0.8. Let t = -1632.8 + 1632.8. Which is the nearest to -1\/4? (a) n (b) -4 (c) -1\/7 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.539 + -756\nAnswer: -754.461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 1999*r**3\/6 + 3*r + 93. Let o(l) = l**2. What is o(f(n))?\nAnswer: 3996001*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u**2 + 4800. Let j(i) = -29*i + 1. Determine j(c(b)).\nAnswer: 174*b**2 - 139199","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/4 and 0 + -3 - 1411\/204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0019672649 to four decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/20)\/(-2 + (-34)\/(-10))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/21? (a) 0 (b) 1.97 (c) -0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 54, 87, 110, 117, 102, 59, -18?\n\"Answer: -h**3 + h**2 + 37*h + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s - 7 + 28*s + s)*(2 + 3 - 3).\nAnswer: 46*s - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -9, 2, 0.5, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/(-15))\/((-3)\/10). Suppose -w*m + m + 8031 = 3*f, -5*f - m = -13377. Suppose 0*n = -5*n + f. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25493 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, k: 5, z: 3, g: 1, s: 2}. Give prob of picking 3 k.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.24, 5, -5 in increasing order.\nAnswer: -5, 0.24, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 12*a = 93, 24*n - 11*n - 3*a = 18*n - 121 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-384*k + 33 - 33)*(-2 + 4 - 4 + (1 + 0 + 1)*(2 - 3 - 3)).\nAnswer: 3840*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/7, -1\/11, 319, 4 in increasing order.\nAnswer: -2\/7, -1\/11, 0, 4, 319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-seven quarters of a meter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.00354812 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -237807, -476269, -714731, -953193, -1191655?\n\"Answer: -238462*i + 655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - 20 - (-4 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1037412*o**3 - 518728*o**3 - 518686*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1228)\/(-5) - (-12)\/30.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 1\/344 (c) -78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15484 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 42*o + 519. What is w(55)?\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 613, 1451?\nAnswer: 613","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o - o + 0*o)*(32 + 10*o - 31*o - 31)*((o - 3*o + 4*o)*(3 - 2 + 1) - 11*o - 2*o - 10*o) to the form f + t*o**3 + k*o**2 + g*o and give k.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 2. Suppose 2*y = 3*o - o - 2, -2*o = 3*y - 12. Suppose -3*a = -o + 9. Sort -4, a, p in descending order.\nAnswer: p, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 117 - -13?\nAnswer: 12a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen ninths of a week?\nAnswer: 14560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124344?\nAnswer: 2, 3, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 - 3*d**3 + (0*d**2 + 6*d**2 + 0*d**2)*(-2*d + 0*d - d) + 175*d**3 - 4574*d + 4574*d as g*d**2 + y + f*d + o*d**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1494*m**2 + 2706 wrt m.\nAnswer: -2988*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/59 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - 9*x - 74 + 252, t + 92 = 458*x - 454*x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (55746924\/72)\/61 + (-2)\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*m**2 - 111*m**2 - 17*m**2.\nAnswer: -226*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - o = -2*o - 2*g + 6*g, 5*o - g = 8*g for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2806*o**2 - 4921*o + 8. What is l(2)?\nAnswer: 1390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -322 (b) -52 (c) -0.23 (d) -3\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, -2\/13, 12, 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + 4)\/(2\/4). Let u = 1 - 0. Find n such that -n**2 - 4*n - 1 - n**g - u = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -4*j - 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 664017?\nAnswer: -66401b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 c when two letters picked without replacement from {y: 2, u: 4, c: 1, g: 5, x: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**6 - 10*a**5 + 88*a**2?\nAnswer: 240*a**3 - 600*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.852 and -5.306?\nAnswer: 4.454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34324?\nAnswer: 2, 8581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1292 greater than -780?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k + 4*k + 5*k + (0*k + 0*k + k)*(0 + 0 - 1))*(2 - 3 - 1).\nAnswer: -30*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -487 - 367*a - 584*a + 213*a + 1530 wrt a.\nAnswer: -738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -403.727 plus 9.94397987?\nAnswer: -393.78302013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*m**(2\/5))))\/m**(2\/23)*m**(1\/6)*m*m**3 assuming m is positive.\nAnswer: m**(3781\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mvmmmnbjvm. What is prob of sequence bmvm?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of 1\/6*y**3 + 1\/24*y**4 + 1\/30*y**5 + 0*y + 141 - y**2. Give v(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, m: 4, v: 2, t: 5}. Give prob of sequence mvd.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 4.1. Let t = 3.9 - i. What is the closest to t in 1, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29978 bigger than -29978?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8568211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27467305*m**3 + m**2 - 38621942*m - 1 wrt m.\nAnswer: -164803830*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -5, -85665, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h + 1718 - 2558 + 840.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 7:37 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 88869?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by 3714?\nAnswer: -13\/1857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -79138, -79143, -79150, -79159, -79170?\n\"Answer: -f**2 - 2*f - 79135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -r**4*v**2 - 95*r**4 + 973*r*v**2 wrt r?\nAnswer: -12*r**2*v**2 - 1140*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 275 - 269. Let g(w) = -w**2 - w**3 + 5*w**2 + 2*w**2 - 2 - 7*w + w**2 + 9. What is g(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*w + 14*w + 385. Suppose -s + 2*f = -143, 0 = -2*s + f + 197 + w. Suppose 17*t - s = 12*t. Calculate the remainder when 52 is divided by t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2089 + -2111.02. Let y = -46 + 23. Let n = y - r. What is n rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 72 = 5*q + 7*f, -75 = -5*q - 5*f. Let a(k) = k + 2. Let d be a(10). Let r be 6 + -5 + 1*d. Which is smaller: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 - ((15 - 8 - (34 + -1)) + 11)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -563\/174 - -2\/29. Let s be (-907)\/2 + (-78)\/(-52). Let o = 419 + s. Find the common denominator of o and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.5 - 3. Let d = 2.091 + -0.091. What is the closest to -0.1 in k, 1, d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.03 - 0.07. Suppose 0 = -23*a - 14 - 31 + 22. Let q be (-1)\/(4\/7) + 2. What is the fourth biggest value in a, 2\/7, n, q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 12*z - 342. What is k(-25)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3*sqrt(17)*-2*2.\nAnswer: 2 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 62 - (-48 - (-62 + 20))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-836)\/33*(-90)\/(-60)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 51 = 22*d. Which is the nearest to 2? (a) -1\/4 (b) 7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 5 + 2)*(2*j - 4*j + 0*j)*(4*j - 4*j + j) in the form g*j + l*j**2 + u and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*w - 1\/2*w**2 - 1\/2*w**5 + 1\/2*w**4 + 1\/2*w**3.\nAnswer: -w**2*(w - 1)**2*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.01 (b) 4 (c) -0.339 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 296699 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + 4*g - 4*g + g - 7*g - g + (1 - 2 + 7)*(3 - 3 - 2*g).\nAnswer: -20*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 - (-44 + 77 + -59)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z + 83. Let b be p(18). Let d(c) = 2*c + 6. Calculate d(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2156401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 589?\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 783 and 8.\nAnswer: 6264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 323 divided by -1.\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -2. Let y = 9 + -9. Let w be y\/(1\/(-1) + 3). Which is greater: w or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1258, -2, -4 in descending order.\nAnswer: 1258, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-18) + 8*(-4)\/288?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8237736865394\/6799 + 1211610073. Let p = -5339\/1151123 + 6\/2201. Let r = m + p. What is the common denominator of r and -101\/4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ai when two letters picked without replacement from {s: 1, i: 1, v: 1, a: 1, h: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -230 - -244. Let a(r) = r**3 - 13*r**2 - 13*r - 12. Calculate a(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 - 28. Let v be (-3 - -9) + -1 - j. Solve v*t + t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 257129889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 4*i + i)*(-52 + 13*i**2 + 52).\nAnswer: 13*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-16)\/8)\/(1*10). Let k = 79\/558 + 5\/62. Let u(p) = -45*p - 1798. Let z be u(-40). Which is the second smallest value? (a) k (b) z (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o. Suppose 2*r - 817 = -3*j, 0 = -2*j + 3*r + 104 + 432. Let f(p) = j + 3*p**2 - 271. Give y(f(b)).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 92*y**2 - 546*y - 9530. Calculate t(-87).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0*m**4 + 3*m**4 + 93*m**2 + 701 - 93*m**2 + m wrt m?\nAnswer: 12*m**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156.97 rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3162534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwqqwqwqkqqttqqwkq. Give prob of picking 1 q and 1 t.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 5) to base 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -84 - 27 - 3 - b + 23 + 24 - 3*b**2 in the form z*b**2 + m + i*b and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 224148 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 18*q**2 + 6*q - 31. Does 11 divide x(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 566047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k - 163 + 121 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p = 4*s + 5*p - 16, 5*p = -s - 14 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 4 - 2)*(-2*h - 2*h - 18*h) + h - 5 + 5 + 12 - 7*h - 5*h + 10*h)*(2 + 1 + 1) as s*h + i and give i.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3096490.\nAnswer: 2, 5, 23, 13463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/4)\/(243\/(-1512)*16\/(-12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3087303 millilitres in litres?\nAnswer: 0.0003087303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**3 + 33. Let s(l) be the second derivative of l**4\/12 + 124*l. Calculate y(s(r)).\nAnswer: 3*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 779.8283 litres in millilitres?\nAnswer: 779828.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -4*t - 4. Suppose 44 = 3*q + t*z, 0 = -q - 5*z + 2 + 31. Suppose 0*w - 16 = -q*w. What is the closest to 0.3 in -4, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - s**2 - s. Let q be z(0). Let i = -780\/17 - -2357\/51. Let r be (-1)\/((-55)\/(-155)) + 3. What is the nearest to q in -4, r, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 20*c**2 + 19*c + 17. Let v be x(19). Differentiate -4*w**4 - 4 - 5*w**4 - v*w**3 + 17*w**3 with respect to w.\nAnswer: -36*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.5 (b) -14\/227 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 11:02 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34146 and 108.\nAnswer: 204876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 5:58 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*i - 3756 - 3642. What is the remainder when i is divided by ((-3)\/2)\/((-3)\/92)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k - 43. Let u be d(10). Let o = u + 1. Solve -o*i = -4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1093696?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/(-32)*(2 - 1)*0. Suppose -328 = -3*m - 5*x, 3*m + f*x = x + 298. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1240.8 and -1.\nAnswer: -1241.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 481)\/(-3) - 3. Suppose -2*p - 2*p + o = -199, -o + f = 3*p. Suppose p = 5*x + 6. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9885 + 9750 = -45*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -64*h**2*w - 2*w + 13 wrt h.\nAnswer: -128*h*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 4*n**4 - 9520*n**3 + 5721132*n**2 - 67393280*n + 61681664 = 0.\nAnswer: 1, 11, 1184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 82.18834 nanometers?\nAnswer: 0.00000000008218834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -19738778076 and 2.\nAnswer: -19738778074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + b - 3. Let j(y) = 3*y - 5*y - 11 + 3. Let t be j(-6). Suppose -2*l = h + t - 1, h + 4*l = -9. Give z(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693.666 days in milliseconds?\nAnswer: 59932742400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 10*t**2 + 7*t - 6. Let p(h) = -h**2. Let c(g) = -5*p(g) + x(g). Calculate c(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 13*f**2 + 11*f - 1. Let r be d(-12). Let k = r - 6. Solve 4*x + k*w + 32 = x, 0 = -w - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6*z**3 + 3*z**2 + z - 10. What is the hundreds digit of g(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1912.237 millennia to months.\nAnswer: 22946844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.001 + 0.201. What is the nearest to u in -5.7, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 1)*(3*a**2 - a**2 - 3*a**2) - 30*a**2 + 925*a - 925*a)*(7*a - 2*a - 3*a).\nAnswer: -64*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -6*n**2 + 227*n + 169056. Calculate s(-150).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + -0.7. Let v = -0.9 - j. Let a = -1.1 + v. Sort 5, a, 0.1 in descending order.\nAnswer: 5, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*7\/(105\/(-24)). Let t(b) = b**3 + 8*b**2 - b - 7. Let x be t(r). Suppose 2*n - n + m - 3 = 0, -m = x. Solve 2*o - 3*q + 8*q = -3, n*q = 4*o - 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by -516?\nAnswer: -23\/516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 2*x - 30 + 5 - 3 + 7.\nAnswer: -2*x - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8652)\/98)\/(1\/(-7)). Let h = d + -618. Solve -k + 5 - 6 = h for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*q - 2*q**3 + 3 + 2*q**2 + 2*q**4 - 5 - 26*q as c + k*q + o*q**3 + r*q**2 + d*q**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -9\/7, 1\/4, -3, 3465988, -5, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 504034, 1007960, 1511884, 2015806?\n\"Answer: -q**2 + 503929*q + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 4) to base 16.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25.1 + -25. Let d = 0.3 - 0.2. Let k = -0.9 - d. Which is the third biggest value? (a) g (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 1\/2*p**3 + 2*p + 0*p**2 + 3\/20*p**5 + 0 + 1\/2*p**4. Let b(d) = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -y + 6. Solve 5*r = 4*r - y for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -82*(15 + 24\/192*-116)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16009 is divided by 5325.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 25, 65, 1, 4 in decreasing order.\nAnswer: 65, 29, 25, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -6*t**3 - t**2 - 24*t. Let d(q) = 32*q**3 + 4*q**2 + 119*q + 1. Calculate 11*a(j) + 2*d(j).\nAnswer: -2*j**3 - 3*j**2 - 26*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2)*(-4*v - v + 3*v) - 55*v - 70*v - 19*v + (v + 2*v - 2*v)*(0 + 15 + 8) to k*v + r and give k.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-21)\/p))**(-36)\/(p**26)**32)**(-2\/17) assuming p is positive.\nAnswer: p**(3320\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + sqrt(637) + sqrt(637)*1 + 4) + 3 + -3.\nAnswer: 12 + 56*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 8?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 <= 216?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*sqrt(3900) + sqrt(3900) - sqrt(3900)))\/(sqrt(12) - (-1*sqrt(300) - sqrt(300) - sqrt(300)))*-6 + -5.\nAnswer: -45*sqrt(13)\/8 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57439 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -435565\/44 - -108894\/11. Let q = -1 - -0.9. Which is the closest to q? (a) 22 (b) -0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2814, 5631, 8450, 11271?\n\"Answer: n**2 + 2814*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405 is divided by 48?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67 - -93. Suppose -2*m - c = -38. Solve -m = 4*z + 14 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 654, 643, 624, 597, 562?\n\"Answer: -4*t**2 + t + 657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 14 = -75*w + 77*w, 3*w = a - 23 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, g: 3, y: 1}. What is prob of picking 1 g and 2 h?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 - 83827 - 84284 - d**2 + 167511 + 135*d.\nAnswer: -3*(d - 40)*(d - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.006881 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.8 - 4. Let v = 2 - 3. Which is the closest to v? (a) 1\/9 (b) 1\/10 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 90898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5 - 3*u**2 + 7*u + 6*u**2 - 4*u**2. Let w be r(6). Let l = 40 + -359\/9. What is the third smallest value in -3, w, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/87 (b) 5 (c) 285276\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -2*g**3\/3 - 1. Let z(r) be the third derivative of -3*r**5\/20 - 22*r**2. Determine i(z(s)).\nAnswer: -162*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**2 + 218 + 1519 - 1737.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y. Let j(m) = 397*m. Give h(j(k)).\nAnswer: 397*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225993 is divided by 45198?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 q when two letters picked without replacement from qqjyqqyqoqkkiqqqqq?\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2\/23))**(9\/8)\/((b*b**(2\/15)*b)\/b)**(2\/89))**31 assuming b is positive.\nAnswer: b**(7627829\/245640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**3 - 60*r**2 + 2067*r + 129214 = 0. Calculate r.\nAnswer: -53, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 818093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 0*h**3 - 1\/6*h**4 - 2*h + 0 + 0*h**2. Let l(v) = -2*v. Determine i(l(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-10))\/((-5)\/50). Let r be (10\/(-3))\/((-4)\/6). Suppose -2*g = b*h - 18, r*g + 4*h + 0*h = 69. Calculate the remainder when g is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6582956.\nAnswer: 2, 43, 38273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-15)\/(((o*o**(-3\/8))\/o)\/o) assuming o is positive.\nAnswer: o**(-109\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1800206?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -2, -3.\nAnswer: -3, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 15, 1\/2, -2\/5, -3, -0.297, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 + -2020.8.\nAnswer: -2020.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55403 or 55494?\nAnswer: 55403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or 42224043?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 9:03 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**5 - 5680*r**4 - 18354*r**3 + 3684528*r**2 = 0.\nAnswer: -27, 0, 24, 2843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-38)\/8 - 3\/(-4). Let k be 3\/((18\/t)\/(-3)). Let i be (-28)\/(-6) + k\/6. Calculate the greatest common divisor of i and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -90*n**3 - 21*n**2.\nAnswer: -540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/2)\/(-21))\/(5\/10).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/6)\/((-2)\/(-6)). Suppose -2*x + 2 - 4 = 0. Let l = -6478.2 - -6478. What is the nearest to -2\/15 in l, y, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 159 - 154. Solve -d*k = -k - 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 9. Let m = q + 10. Let o = m + -9. Is o smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -11. What is the second derivative of -4*y - h*y - 2*y - 14*y**4 + 4*y wrt y?\nAnswer: -168*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 1 - 19 = 0. Suppose 3*g = -3*i - 2*i + 3, -4*i - u = 4*g. Let b = 5 + g. Solve 2*a - a - b = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 88858*j + 10. Calculate z(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 - 38 = i. Suppose 0*c + 3*x = 5*c - 28, -5*c = 5*x - 20. Suppose c*w + 39 = 2*n, 2*w + w = i*n - 45. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84746 = 71*a - 83894 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d**3 - 13*d**2 - 2*d + 4. Let b(v) = -8*v**3 + 28*v**2 + 5*v - 9. Let w(m) = 6*b(m) + 13*z(m). Let o be w(1). Solve -28 = o*u - 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 6*f + f = 17, 0 = 4*a + 3*f - 9. Let n(b) = -b**2 + b + 3. Let h be n(a). What is the units digit of (9\/4)\/(h\/(-8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**3\/6 + 329727*w**2\/2 + 989179*w\/3 = 0.\nAnswer: -989179, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1580\/1896*(-3)\/10\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -21 (b) 0.1 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 118 and 874878?\nAnswer: 51617802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 28*d + 73. Let n(h) = -2*h**2 + 2. Let b(z) = n(z) + o(z). What are the prime factors of b(-23)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 296294?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 + 1.444929183?\nAnswer: 691.444929183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*d - 11 = -33, -2*r = -5*d + 11. Let p(c) be the second derivative of -c**4\/12 - 11*c**3\/6 - 5*c**2\/2 + 1771*c. Calculate p(r).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(180)\/sqrt(10)).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 608475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v**4 - 5007*v**3 + 728546*v**2 + 20028*v - 2914200 = 0. Calculate v.\nAnswer: -2, 2, 150, 4857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 3*i**7\/35 - 119*i**6\/75 - 271*i**5\/50 + 157*i**4\/10 - 6*i**3 + 22*i - 29. Let g(c) = 0. What is c?\nAnswer: -3, 0, 2\/9, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 9 + -1 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - -119. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 6*m**2 - 4*m - 3. Let g be p(5). Factor -a**2 + a**g - 12*a + 8 - 5*a**3 + 9*a**3.\nAnswer: 4*(a - 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v - 4. Let s(l) = -2*l + 9. Let k = 17 + -22. Suppose -u = -5*y - 14, 4*u - 23 = -7. Calculate k*q(j) + y*s(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1357, 26, -0.002 in descending order.\nAnswer: 1357, 26, 0.1, -0.002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(85)\/sqrt(5))**2 + sqrt(136)\/(sqrt(8)*-3).\nAnswer: -34 - sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 27.6 times 1\nAnswer: 27.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -5*k + 2, 40 = -58*j + 62*j + 4*k for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9 + 0.5. Let y = 0.2 + d. What is the nearest to -4 in -1, 1\/5, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8b935 (base 13) in base 15?\nAnswer: -504d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 63907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + -6. Let s = -16 - o. What is the third smallest value in s, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 23*d - 76. What is the units digit of i(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-2))\/(1 + 660\/(-300))\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.918998747 + -1.919. What is r rounded to 7 decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 3 + -5 + -2 - (68 - 83)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 1335 = -5*z + 1570, -z + 3*k = -597. Is z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 671 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -654, -5 in decreasing order.\nAnswer: 10, -5, -654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 f when two letters picked without replacement from {u: 6, f: 1, h: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 6847910\/11 and 622536 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*m + 647 - 395 = 0 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 148 and 925.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37070 - 19287. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u**4 - 15*u**3 - 20*u**2 + 25*u. Let l(f) = 0*f**2 + 0*f**2 - f + f**3 + f**2. Let k(c) = -25*l(c) - s(c). Factor k(v).\nAnswer: -5*v**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 70 = n - 68, -4*m + 3*n + 130 = 0. Let o(l) = 22*l - 36. Let f be o(13). Let k = 385 - f. What is the remainder when k is divided by m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27478 - 27476. Suppose -19 + 4 = z + 3*a, 5*a + 25 = 0. Suppose z*y + 2*y = 36. Solve -3*g = l + 2, 0 = -4*l - g + x*g + y for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/37 in -8, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 1543a5?\nAnswer: -1543a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1819*p + 328*p - 20874 = 0 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7754 + 12587. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 11*s - 51880 + 452917. What is the thousands digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7030240417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9\/17 (b) -1 (c) 0.4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -168 - -167.6. Which is the third biggest value? (a) x (b) 0.5 (c) 0 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f**3\/5 - 11*f**2\/5 + 39*f\/5 - 9 = 0. Calculate f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-6))\/(1\/52). Let r = -3782 + 3781. Let c be 4 + 3 + t\/r. What is the highest common factor of c and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 4. Put 1, r, -2\/7 in increasing order.\nAnswer: r, -2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9000 and 33300?\nAnswer: 333000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -250 + 6001\/24. Let u(z) be the third derivative of -3*z**2 + 0 + 0*z**4 + 0*z**5 + 2\/3*z**3 + 0*z + s*z**6. Differentiate u(p) wrt p.\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*a - 104*a + 22*a to the form r + g*a and give g.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -9*n**2 - 471*n + 2978. Determine u(-58).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*b**2 + 42*b**2 + 15*b**2 to n*b**2 + q + r*b and give n.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.892 + -0.108. Put -1\/5, w, 4, -4 in decreasing order.\nAnswer: 4, -1\/5, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/32)\/((-15)\/(-12)*-1).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1803306 + -2a?\nAnswer: -1803334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2452 (base 6) to base 5.\nAnswer: 4413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + h - 650*h**2 - 2*h**3 - 17 + 651*h**2 + 3*h in the form n*h**2 + o*h + y + s*h**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 2. Let r be p(2). Suppose 51*d - 55*d = -4. Sort d, r, -4.\nAnswer: -4, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*i + 99 = -1461. What is the smallest common multiple of i and 175?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -5\/4, -0.9, -0.3, -7, -2 in increasing order.\nAnswer: -7, -2, -5\/4, -0.9, -0.3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -240? (a) -194\/5 (b) 4 (c) 3\/7 (d) 3 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -3*h - 16 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/17? (a) 0.06 (b) 0.1 (c) 0.206\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450700 is divided by 949?\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00025503494 rounded to 5 decimal places?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1182, 2341, 3486, 4611, 5710, 6777, 7806, 8791?\nAnswer: 9726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than 575.746?\nAnswer: 576.746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-20)\/40)\/((-2)\/(-13096)*-2). Is -1*(-1 + -2 - -2)*w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2 - 14*k - 20. Let f be r(-4). Solve 2*d - 14 = -f*i, 5*d + 4*i = -0*i + 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 6 = 2*k, -3*h - 2*k - 4 = 0. Factor 1\/4*y**4 - 1\/4*y**2 - 1\/4*y + 1\/4*y**3 + h.\nAnswer: y*(y - 1)*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1093015953 and -56.21.\nAnswer: 1093015896.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*a - 15. Let c be -4*(-1 - -3)*(-11)\/4. Let x = c + a. Solve -3*q + x = g, -6*g + 3*g - 3*q + 27 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*s = 9, -q - s - 2*s = -3. Let n = 0 + q. Calculate the smallest common multiple of 0 - (1 - n - 2) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 8:06 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -f**6\/120 + 2*f**3\/3 - 7. Let y(j) be the third derivative of m(j). Let a(h) = 3*h**2. What is a(y(s))?\nAnswer: 27*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-10)\/(-16))\/(-4*(-24)\/(-1152)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z = -2. Let l be (2\/(-2))\/(z\/(-4)). Solve -l*i + 12 = 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1407705083 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 1900 = -5*z + 7*c, -3*c + 762 = -2*z. Let l be 5\/(15\/(-4))*z\/28. What is the highest common factor of l and 270?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -172.95 - -177. Let p = 0.08 - 0.03. Let x = p - h. Which is bigger: x or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 8*a**2 + 6*a - 4. Let m be x(-7). Suppose m*w + 0*w = 210. Suppose 7 - w = -3*k. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 17, -15, 1.3, 0.2?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55120481123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -11*h**3\/6 - 4*h**2 + 3584*h. What is m(-6)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11506517 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 - 5.6. Sort -3\/2, -0.1, -4, t in decreasing order.\nAnswer: -0.1, -3\/2, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5*k**3 + 2*k**2 - 12*k + 18. Let l be f(3). Let h = 30 + -293. Let m = l - h. Calculate the highest common factor of m and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -165c14 - -3?\nAnswer: -165c11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 24*i**5\/5 + 5*i**3\/3 + 94*i**2 + 1079. What is the second derivative of f(t) wrt t?\nAnswer: 288*t**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2638 to the nearest one hundred.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10360\/3 + 3453. What is the closest to 1 in -0.191, 0.5, l, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -1.705309.\nAnswer: -5.115927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 9*s**2 + 5*s + 3. Let a(w) = 15*w**2 - 6*w - 3. Let j(t) = 2*a(t) + 3*u(t). What is j(-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1307 = -189*u - 1528 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/l**(-2\/15))\/l*l)\/l)\/(l\/l**2*l)*(l**(-1)\/l)**(1\/2))\/((l\/(l\/(l\/l**(-2\/3))))**(-28))**(-35) assuming l is positive.\nAnswer: l**(-8171\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**3 - 4*w**2 - 2*w + 6. What is the remainder when (18\/(-15))\/(2\/(-55)) is divided by a(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 6*o + 18 = 0, 358*o = 4*q + 362*o - 8 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 1. Let t(z) be the third derivative of -z**5\/60 - z**3\/3 + 51*z**2. Calculate 2*t(h) + 5*u(h).\nAnswer: 3*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 12*h + 9. Let y = 477 - 488. Give m(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (60\/336)\/(1*-4) and -87\/154.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 6*l - 5. Let c(i) = -12*i + 9. Let u = -6505 - -6500. Determine u*q(p) - 3*c(p).\nAnswer: 6*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 391176 and 115904.\nAnswer: 3129408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*r + 6*r + 3*r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1926 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: Suppose 10*n + 7 - 37 = 0. Let v(s) = s**2 + 8*s - 764. Let t be v(24). Solve -t*u - 4 = -n*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 432*h**4 + 43893*h**3 + 353289*h**2 + 712104*h + 424080 = 0.\nAnswer: -93, -95\/16, -4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20567014291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 48 = 4*k - 16, 2*c + 5*k + 17 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 + 22. Is n even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.513344 rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/1463383515141 - -339942527182479319\/921814543857618720. Let r = -1\/39370 + v. Find the common denominator of r and 91\/44.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -27044, -27067, -27094, -27125, -27160?\n\"Answer: -2*c**2 - 17*c - 27025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/3 (b) -4 (c) -13\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yq when two letters picked without replacement from quivuyq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 397.4061 centuries to millennia.\nAnswer: 39.74061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 101.4 (c) 0.5 (d) 1 (e) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**9\/84 + 2*o**5\/15 - 6*o**2. What is the third derivative of w(j) wrt j?\nAnswer: 720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaua when four letters picked without replacement from aaaaaaauu.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14010613765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -877, -3483, -7825, -13903, -21717, -31267?\nAnswer: -42553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 + 16*y**3 - 19*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*t + 197, 4 = -3*t - 8. Let o = a + -66. Solve 0 = -5*l + n - 7, 0 = 3*l + 4*n - o for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278910.\nAnswer: 2, 3, 5, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 15148 = -14*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (194\/(-679)*35\/(-2))\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 868 is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbblqlqcbb. What is prob of sequence qb?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6411 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 4)*(648*o + 547*o**2 + 311 - 309 - 544*o**2).\nAnswer: 3*o**2 + 648*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258644 is divided by 129316.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -446362 (base 7) to base 16.\nAnswer: -134e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 2*v**2. Let q be g(-1). Is (12 - 13)\/(q\/53) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 11. Let s be (2\/r)\/((-2)\/(-24)). Let q(b) = b**3 + 5*b**2 - 6*b - 2. What is q(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1472 and 19328?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 890708, 1781427, 2672146, 3562865?\nAnswer: 4453584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3299291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30160 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5 + sqrt(275) + sqrt(11)).\nAnswer: 25 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12308 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -544.8 - -403.8. Let x = 693 + -818.8. Let p = a - x. Round p to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 25\/(1505\/(-43)*2\/(-14)). Put 3, a, -4, 97, 4 in ascending order.\nAnswer: -4, 3, 4, a, 97","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4602, 18193, 40836, 72531?\nAnswer: 113278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z + 10. Let o be b(0). Suppose 3*r = v - 7, -v - 3 = 2*r + o. Is 1\/(-2) - 358\/r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-28)\/(-192)*(-468)\/(-1092).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -141*f*p**2*y + 313*f*y**2 - f*y + 155*p**2*y**2 - 115*p**2*y wrt y.\nAnswer: 626*f + 310*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 7*t**3 - 6*t**2 + 7*t - 2. Let v(a) = 15*a**3 - 12*a**2 + 15*a - 5. Let l(r) = -6*v(r) + 13*z(r). What is the tens digit of l(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*y - 498 = 2058. 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 (6*(1 + 2*-5*-4*(0 + sqrt(500) + -1)))**2.\nAnswer: -1123200*sqrt(5) + 28854756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-351)\/195*(-1*25 - 0). Suppose -3*j + 78 = p. Calculate the greatest common divisor of j and 1177.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(17) + -1 - sqrt(17)) + sqrt(17) + (-3 + sqrt(51)\/sqrt(3))**2 + ((sqrt(68) - (1 + sqrt(68) + sqrt(68))) + -2)**2 + sqrt(68) + 5.\nAnswer: 9*sqrt(17) + 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from llelllllellellllllll?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.06174404 + -0.323.\nAnswer: -1.38474404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 3354*q + 10 = -3351*q, -5*l + 3*q = -10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21310 + -25?\nAnswer: 21241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1688459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o. Let k(n) = -4*n - 28. Let f be k(-6). What is t(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 2*w**3\/3 + 24. Let r(z) be the first derivative of 4*z**3\/3 + 18. What is v(r(y))?\nAnswer: 32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-5) + (-7 - 1716\/5). Suppose 2*k + 1102 = -0*k. Let d = l - k. List the prime factors of d.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210878 is divided by 189.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*1 - (-6)\/6. Suppose 3*v + q*m = 40, -2*v + 4*v - 45 = m. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -510618, -510583, -510486, -510297, -509986?\nAnswer: -509523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 630393?\nAnswer: 3, 210131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 47519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(200) - ((-1 + sqrt(200) - sqrt(200)) + -1) - sqrt(200)) + -4 + 1*sqrt(200)) + 5)**2.\nAnswer: -660*sqrt(2) + 1921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 25*j**2 - 25*j - 75. Determine q(24).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 - -81. Let g = 37 - r. Let q be (-2 + 1)\/((-7)\/g). Which is the closest to -2\/5? (a) 3\/5 (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6181 + 0.0311. Round o to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 36*a**3 - 2*a**2 + 7*a - 4. Does 83 divide b(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u - 26. Calculate z(-10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*g**3*k - g**3 + 32711*g**2*k + 70*g + 5*k - 619 with respect to k.\nAnswer: 7*g**3 + 32711*g**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263 = 2*g - 149. Let m = 367 - g. Let o = -81 + m. Calculate the highest common divisor of o and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 36404*h**2 - h + 4. Let k(g) = 3*g**2. Give j(k(y)).\nAnswer: 327636*y**4 - 3*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1998977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 23 = 35 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001101100 (base 2) in base 3?\nAnswer: 1112221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 89*k - 15. Let p = 51 - 43. Is s(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 4*w**2 + 7*w + 4. Let y be h(5). Let r be -1 + 1 - y\/(-2). Let i(d) = d**3 - 2*d**2 - 16*d - 6. Is i(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-2625)*35 - (-323)\/25\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -62. Let y = o - 18. Suppose -6 - 4 = -5*u. What is the highest common divisor of y and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (46\/10 + -4)*5. Suppose v*p + 2*p - 480 = 0. What is the greatest common factor of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13 - -14)*-1*3. Let w be d\/((-99)\/6)*-6. Suppose 0 = -7*i + 2*i. Which is smaller: w or i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-12) - 114010\/(-683436). Let b = c - 27753\/43810. Calculate the common denominator of 151\/6 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/116035626 and -43\/2090732.\nAnswer: 232071252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 18, -2, -3 in increasing order.\nAnswer: -5, -3, -2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 966252 - 441529. Let t = 524723.0289941 - a. Let v = -0.029 + t. Round v to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**3 - 83*d**2 - 218*d - 96. Give k(44).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 80270832 a multiple of 1683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 207.4250419 rounded to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0*g - 4*u + 4, -3*g = -u + 1. Suppose g = 18*p - 14*p - 88. Let a = 22 + p. Calculate the highest common factor of 308 and a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -629*i**5 + 9*i.\nAnswer: -12580*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (252\/(-45))\/(2 - 12\/5). Let a(t) be the first derivative of -t**4\/4 + 5*t**3 - 6*t**2 - 6*t + 4. What is the lowest common multiple of 4 and a(n)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112211201 + 112?\nAnswer: 112212020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 391857 to the power of 1\/2, to the nearest integer?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -57 - i + 3*i + 21 as p + y*i and give p.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 6) to base 16\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 4)*(-4*d + 16*d + d)*(18 - 21 - 44).\nAnswer: 1833*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.952 - -1.152. Put -18\/13, -1, d, -0.8 in descending order.\nAnswer: d, -0.8, -1, -18\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20144 divided by -16.\nAnswer: 1259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/1262 and -17\/28?\nAnswer: 17668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-2*1)\/(18\/(-63))*300\/(-1050)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**3\/11 - 18*o**2\/11 - 48*o\/11 - 32\/11 = 0?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 14. Let n be (q - -1) + (1 - -1). Suppose 5*f - 38 = n*f. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 3*t - 22. Let x be k(6). Which is the closest to 1? (a) x (b) 0.3 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303154 rounded to the nearest 10000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 15 = u - s, -29 = -5*u + 3*s. Suppose u*k + 2*t + 10 = 0, -k + 1 = -3*t - 0. Sort k, 3, 1 in descending order.\nAnswer: 3, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**2 - 36*s + 81 = 0.\nAnswer: 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-4*sqrt(17)*1*-6 + sqrt(68)\/(sqrt(40)\/(3*sqrt(10))) + 1))**2.\nAnswer: 1350*sqrt(17) + 309850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 252117 (base 8) to base 7.\nAnswer: 511664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4*j + 144 = d, -3 = -3*j. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**2 - 2*z + 1. What is the remainder when v(-3) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1784417*s**3 + 346447*s + 1 wrt s?\nAnswer: 10706502*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -50423.\nAnswer: -50428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1921093 or -1921103?\nAnswer: -1921103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -141*l**2 - 639 - 514*l**2 - 346 wrt l?\nAnswer: -1310*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -351.7?\nAnswer: -35.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1909464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 11 = -14, -3*v = -5*y + 322. Let a be 2 + (v\/(-3))\/3. Suppose -16*r + a*r = -18. Solve 0 = -2*j - 8*c + 3*c + r, -4*j - 14 = -3*c for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiu. What is prob of picking 2 i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (19 - -6) + 221 + -241\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2622 - -13111\/5. Which is the closest to 1? (a) 3 (b) l (c) -65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16606165 + 101?\nAnswer: -16606064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1869234 take away -0.025?\nAnswer: 1869234.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3699 - -3753. Calculate the highest common divisor of u and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 48, 34, 16, -6, -32, -62?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, -25, -83, -141, -199, -257?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 4 (c) 6.66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -51, -104, -157, -210, -263?\n\"Answer: -53*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*l - 2*j - 32, 0 = -2*l + 4*j - 12. What are the prime factors of 964 - (-1)\/((-2 - -4)\/l)?\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255401053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3254 divided by 5565\nAnswer: 3254\/5565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 21 = 3*t. Calculate the remainder when 64 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by -154261\nAnswer: 18\/154261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 167, 170, 171, 170, 167?\n\"Answer: -f**2 + 6*f + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*o**4*v - 1224*o**3*v**3 - 3*o**3*v**2 + 861*o**2*v**3 - 2*o**2*v**2 + 2*o*v**3 wrt o.\nAnswer: -72*o*v - 7344*v**3 - 18*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*s + 2. Let k be (s - -1)\/(9\/120). Calculate the highest common divisor of 10 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3254563528?\nAnswer: 2, 157, 2591213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17955670 or -17955686?\nAnswer: -17955686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 + 1049 - 1049 - 9*p**2.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cq when two letters picked without replacement from {q: 1, c: 2, y: 2, r: 4}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 + 13 + 65)*(1 - c - 1)*(13*c + 2*c + 14*c) to the form a*c + s*c**2 + x and give s.\nAnswer: -2610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**3 + 10 - 17 - 4*g**3.\nAnswer: -3*g**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48 + 85. What are the prime factors of p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 6 = 0, 3*w + 189 = 3*f - 0*f. Calculate the common denominator of (-223)\/w + (-29)\/(-87) and -1\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 91361288 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**4 - 19*b**2*r + b**2 - 2207*b*r wrt b?\nAnswer: -36*b**2 - 38*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 2:59 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 330377, 330207, 330043, 329891, 329757, 329647?\nAnswer: 329567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99 - 99 + 8*o**2 + 2*o**2 - 5*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.1 - 2.72.\nAnswer: -21.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/3*(-165)\/(-220). What is the smallest value in w, -2\/25, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 11*i**8\/28 - i**4\/6 + 20*i. Find the third derivative of p(f) wrt f.\nAnswer: 2640*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kfeu when four letters picked without replacement from {u: 2, k: 1, j: 3, e: 4, f: 7}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3fba67 + a?\nAnswer: 3fba71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 4 - (12 + 4 + -3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -168*s - 15. Let q(v) = 84*v + 7. Let c(z) = -4*p(z) - 9*q(z). What are the prime factors of c(-2)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f - 4. Let z be x(3). Let v = -19 + 22. What is the nearest to z in 2, v, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13213032 (base 4) to base 3.\nAnswer: 1120202220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/175*-7*(-20)\/(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 1. Let y be (85\/2)\/1*s. Let i be (y + 1)\/((-8)\/(-4)). What is i rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -565*p + p**2 - 4*p**2 - 3 + 5*p**2 - 7 + 593*p in the form k*p + d + g*p**2 and give k.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 245, 1, -3, 1418, -2 in ascending order.\nAnswer: -3, -2, 1, 245, 1418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-76)*19)\/(-6*(-18)\/297).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 + -119\/3. Let q(p) = -p**2 - p**2 - 2 + p**3 - p + 0*p - 2*p. Let w be q(-1). What is the smallest value in g, -3, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a - 7. Suppose 2*s = -2*o - 18, -s - 69 = 5*o - 40. Let i(k) = k - 6. Determine s*i(v) + 3*l(v).\nAnswer: -v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 235 + -235. Suppose -w + m + 2 - 1 = o, -5*w - 2*m + 33 = 0. Solve w*z + 9 = -1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 17 = -7*j + 2*j, -3*j = 15. Let x be (-3 + 141)*m\/4. Let r = -29 + x. Is r a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 615*h**3 + 3*h**2 + 10. Let u(p) = 1842*p**3 + 10*p**2 + 35. What is -10*g(b) + 3*u(b)?\nAnswer: -624*b**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 4*v - 9 - 2, -3*v = -2*l + 9. Suppose l + 4*y**3 + 4*y**3 - 4*y**3 + 5*y**2 - 7*y - 5*y**3 = 0. Calculate y.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + z = c - 22, 3*c + 28 = -4*z. Suppose 0 = -2*a - x + 3559, 0 = -4*a - 3*x - 1187 + 8300. Is c\/42 - a\/(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -97929329\/4 and -24482332 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9269 + -8504. What is the remainder when l is divided by ((-1)\/(-3))\/((-4)\/(-708))?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48 or 58?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 129 - 68. Let h be (695\/15 + 6\/3)*-42. What is the remainder when t is divided by (-6)\/(-21) - h\/98?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42716048 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/3876 and 49\/1798464.\nAnswer: 1798464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 10. Let b be u(7). Solve -b = 3*i + 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*q**3 - 2*q**3 - 13*q**3 + 2*q**3 + q - q + q**3 + q**3 - 4*q**3 + (q**3 + q**3 + 0*q**3)*(-3 - 2 + 3) - q**3 - q**3 + q**3.\nAnswer: -32*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 30\/9 + (-2 - 8385\/6228) and 41\/2249.\nAnswer: 8996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 422009 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3533.2276 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*n**3 + 4*n**3 - 21*n**3)*(-1 + 6 - 3).\nAnswer: -68*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 16*v**2 + 2*v - 1. Does 12 divide w(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 7:18 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*p = 61*p + 10. Let b(u) = -3*u**2 + u - 3. Let i(r) = 7*r**2 - 3*r + 7. Give p*b(v) - 2*i(v).\nAnswer: v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/(-8)*17)\/(9\/(-4)) and -40\/279?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 27698, 55355, 83012, 110669, 138326?\n\"Answer: 27657*t + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 4:25 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 6*f + 1. Let x be 1\/(((-8)\/(-14))\/4). Suppose 12 = x*a - 4*a. Let r(y) = 7*y + 1. Give a*r(s) - 5*u(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3187, 2, 14\/107?\nAnswer: 14\/107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -3, -154824, 4, 2, 0 in descending order.\nAnswer: 4, 2, 0, -1, -3, -5, -154824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26.5 + 4.5. Let y = c - 30.96. Sort y, -4, 1\/6 in ascending order.\nAnswer: -4, y, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - j**2 - 7*j - 103. Give y(-4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29 - 189371323214.\nAnswer: -189371323185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22012122 (base 3) to base 13.\nAnswer: -2954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 276.1631, -20\/33, 1 in ascending order.\nAnswer: -20\/33, 1, 276.1631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12150 and 536850?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sskk when four letters picked without replacement from vvvvsvmvkmk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.633 - -51.673. Let h = 51 - c. Sort -5, -3\/5, 3\/4, h in ascending order.\nAnswer: -5, -3\/5, h, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -9*t - 6. Let d be m(-2). Let v = 37 - d. Let s = -103\/4 + v. Which is the smallest value? (a) -0.5 (b) 1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xiqi when four letters picked without replacement from {i: 1, r: 1, q: 1, l: 1, x: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.054686845 to five dps.\nAnswer: 0.05469","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 62, 78, 94, 110?\n\"Answer: 16*x + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/43)\/n)\/n*n)**(-27) assuming n is positive.\nAnswer: n**(1215\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002704975 rounded to six dps?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 73 + -60. Let s(f) = 8*f**2 + 2*f - 3. Let q be s(-3). Suppose 54 = 2*z - 4*r, 2*z + 17 = -4*r + q. Calculate the remainder when z is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y + 10. Let h be p(9). Suppose 3*s + 5*d - h = 9, 0 = -5*s - 2*d + 42. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, a: 1, y: 2, p: 3, x: 2, c: 2}. Give prob of picking 1 a and 1 c.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2088640 and 2568.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ueve. What is prob of picking 2 e, 1 v, and 1 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-4)*16\/10. Suppose 0 = g*s - v + 24, 5*s - 4*v = -0*s - 19. Let c(u) = -u**2 - 5*u + 10. Let k be c(s). Put k, -1\/4, -1\/5 in decreasing order.\nAnswer: -1\/5, -1\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 3*z + 5*w, -4*z + w + 28 = 3*w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -877603, -877602, -877599, -877594?\nAnswer: -877587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -13*b**3 + 2419*b**2 - 171*b - 2819. Determine g(186).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 247993378 a multiple of 877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (10 + -7 + 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46082, -94341, -142602, -190865, -239130, -287397?\nAnswer: -335666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d**4 - 221655147*d**3\/2 - 511781196688269*d**2 + 895617489027744*d + 255890695318272 = 0. What is d?\nAnswer: -9235632, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2, -2, -8, -26, -62, -122, -212, -338?\n\"Answer: -l**3 + 3*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/4 of a gram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 23*v**2 - 54*v + 55. Give r(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4116 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 17*p - 1080 = 0. Suppose -5*s + 428 = 3*u, -7*s + 3*s + p = -2*u. Does 61 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2114564*0.2\nAnswer: -422912.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**4 + 252*a**3 + 2358*a**2 - 173348*a + 1006656 = 0.\nAnswer: -107, -42, 7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 9*v**2 - 26*v + 43. Let a be j(6). Put a, -2, 2\/63 in increasing order.\nAnswer: a, -2, 2\/63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g - 65987. Let s(i) = -i. What is s(z(a))?\nAnswer: a + 65987","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 3:18 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v. Let i(f) = -378*f + 16 - 16 + 273*f. What is i(j(o))?\nAnswer: -105*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a milligram in micrograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, -1777107, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7.336627 centuries?\nAnswer: 733.6627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001 - -10110011111000100?\nAnswer: 10110011111111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**2 - 2 - 10*d**2 - 6*d + 6*d**2. Let b = 1 - 4. Calculate a(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2904*f - 592556. Determine o(204).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/2, -3923, 0.1, 0, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -10*f + 5. Let b(n) = 19*n - 10. Let l(g) = 3*b(g) + 5*z(g). Let c(p) = 4*p - 9. Let k(i) = 1. Let v(w) = c(w) + 6*k(w). Give -6*l(r) + 10*v(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 34656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**2 - 4*b + 3. Suppose -27 = -14*k - 13. Calculate a(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -253? (a) 3 (b) -4 (c) -0.3 (d) 7\/3 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/670 and -113\/299270240.\nAnswer: 299270240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12010.31ml to litres.\nAnswer: 12.01031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12041 by 85.\nAnswer: -12041\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20479.7565 minutes to weeks.\nAnswer: 2.031721875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5500 = 4*x - 2*i, -1373 = -x - 127*i + 128*i. What are the prime factors of x?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**5\/15 + 46*n**2. Let w(t) = 25*t. Determine w(o(q)).\nAnswer: 100*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -481400 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 + -9 - (-1 - 1). Solve 0*o + o = r for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 0, -106, -2611, -4.\nAnswer: -2611, -106, -5, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 8*h - 4. Let v be p(1). What is the tens digit of (1 + 1)*((-2214)\/v)\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2965838453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 + 99435 - 99435.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/10*(-21)\/(-84)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17334 and 40981?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 - 2310*m**2 + 266805*m.\nAnswer: 5*m*(m - 231)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(1\/5)*q))\/(q*(q**(-13)\/q)\/q) assuming q is positive.\nAnswer: q**(69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1509862 is divided by 178.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -0.4 (c) -2\/3 (d) 4 (e) 1\/2 (f) -411338 (g) 0.2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (((sqrt(425) + 0)*-2 - (sqrt(425) - (sqrt(425) + 1)*2))**2 - (sqrt(170) - -1*sqrt(170)*-4)\/(sqrt(10) + (sqrt(10) - 1*sqrt(10)*-5))))*3.\nAnswer: -411*sqrt(17)\/7 + 1299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5593993 to the power of 1\/2, to the nearest integer?\nAnswer: 2365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131592*k - x = 131593*k + 3 - 3 + 7, 0 = -3*k + 3*x - 9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*x**3 + 3 - 3 - 63*x**3.\nAnswer: -49*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 11. Give y(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*j + 29*j - 6*j to s*j + v and give s.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q - 13. What is g(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -508*g + 498*g + 29 = -41 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 45103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 2. Let o = 1\/2 - 5\/18. Let x = -0.1 - -1.1. Put x, l, o in decreasing order.\nAnswer: x, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(2\/(-12)*-4). Let m(n) = n - 3*n + 6*n**2 + n**3 + n + 5 + x*n. Calculate m(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + p + 1. Let g(r) = 2*r + 3. Let f be 4\/10 - (-73)\/5. Let x be (4\/(-5))\/((-3)\/f). Suppose 0 = 5*u + x + 1. Give u*g(o) + 2*i(o).\nAnswer: -2*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 83047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(17))*5)**2 + sqrt(170)\/sqrt(810).\nAnswer: 901*sqrt(17)\/9 + 525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330*h - 149*h - 179*h - 102 = 0 for h.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 3*s - 1. Let i be j(7). Let z = 59 + i. Let a(c) = 45*c - 794. Let b be a(18). What is the greatest common factor of b and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1998 + 2000. Let f(q) = 13*q + 5. Calculate f(r).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -20. Calculate the lowest common multiple of 10*m*3\/(-9) and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3223 = 3*y - 29439, 5*y = -2*v + 54509. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9985487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8099 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 97 (c) 429\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -4013.\nAnswer: -7\/4013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 586, 977, 1888, 3553, 6206, 10081, 15412?\nAnswer: 22433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -13*t - 105. Let k be z(-14). Calculate the greatest common divisor of 22 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1194 is divided by 143?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.475 - 0.46. Let x = p + 0.485. Let s = x - 3.5. Put -6, -0.4, s in decreasing order.\nAnswer: -0.4, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373745419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -9*h**2 + 13*h - 11. Let r(c) = -4*c**2 + 6*c - 5. Let s(x) = 6*g(x) - 14*r(x). Solve s(j) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14.3 - -14. Sort 0, 4, k in ascending order.\nAnswer: k, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, r: 3}. Give prob of sequence rrur.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**4 + 2 - 2*b**2 + b + b + 8*b**4 - 9*b**4 to l*b**3 + a*b + z + u*b**4 + f*b**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219767*g**3 - 219757*g**3 + 659228*g**3 + 2 - 219746*g**3 - 2.\nAnswer: -42*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 6?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2619903 - -8130.\nAnswer: 2628033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/(-91)*(-2)\/4)\/(21\/7).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**3\/7 + 5750*c**2\/7 + 8259872*c\/7 - 16542752\/7 = 0.\nAnswer: -2876, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15448\/(-22) - 0\/(-9). Let v = y + 703. Let w = v + -71\/33. Which is bigger: w or -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10241 by -11.\nAnswer: -931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**4\/5 - 10792*b**3\/5 - 1349104*b**2\/5 - 48866048*b\/5 - 410790912\/5 = 0?\nAnswer: -56, -12, 10916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-4))\/(133\/532).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3 - 5. Let c be ((-2)\/(-1))\/(-2) + u. Let x be (-3)\/(3 + c + -3). Which is smaller: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-24) + (-129645)\/(-3096).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 155*p**2 + 5431*p - 169. Calculate k(-35).\nAnswer: -379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/658970 and 1\/19240?\nAnswer: 2635880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 135*i**2 - 165*i**2 - 1712*i + 1 + 1805*i as h + y*i**2 + r*i and give r.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3223 + 19391\/6. Find the common denominator of -25\/3 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*q + 0 + 0 + 314*q - 143*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 3, 18, -3011 in ascending order.\nAnswer: -3011, -2, 0, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus -37955?\nAnswer: 37954.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.11, 1\/7, 5, 0.21, 0.02?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 + (-15865)\/874)*((-8)\/7)\/(-2)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 5, -3 in descending order.\nAnswer: 5, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2401938\/37 >= 64918?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2212 and 173572.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 157248?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*j - 648 = 0. Suppose -k - 4*r + 81 = r, -5*r = 2*k - j. What is the highest common factor of k and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132\/(-154)*(-3)\/(9\/(-70)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4*t - 10 = 2*d, 0 = -4*d - 2*t + 10. Find the second derivative of 0*f - 1 + 3*f**2 + d*f + 1 wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 5:48 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14640 - 1?\nAnswer: -14641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 7*h + 5. Let f be -1*(130*-1 - h). Let i = -73 + f. Round i to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5421 + 9226 = -512*x - 7369 for x.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**4 - 48*q**3 + 3*q**2 + 48*q = 0 for q.\nAnswer: -16, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 464 divided by 464?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(2 + 39\/(-18)). Let h = -0.4 + 3.4. What is the third biggest value in -0.2, h, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2, 15, 42, 89, 162, 267, 410, 597?\n\"Answer: i**3 + i**2 + 3*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kfk when three letters picked without replacement from kfk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*w = 10*w + 7644. Is 41 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6160 - 12217 + 6132)*(0*u**2 - u**2 + 3*u**2).\nAnswer: 150*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1068850.8 - 1890444. Let j = y - -821608.1999775. Let d = -15 + j. Round d to 6 decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 450*r**2 - 33*r. Let n(u) = u**2. Determine k(n(d)).\nAnswer: 450*d**4 - 33*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26876004.\nAnswer: 2, 3, 2239667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5964*a - 6134*a + 2720 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*j - 55*j + 27*j + 12*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**6 + 2*k**5 + 35909*k**3 - 27791260*k**2.\nAnswer: 120*k**3 + 120*k**2 + 215454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7626 and 2583?\nAnswer: 160146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 5*v + 2*o - 23, 2*v + 5*o - 14 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dwzdzwwww. Give prob of picking 2 d, 1 w, and 1 z.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 3. Suppose -5*u - 3*i = -2546, 2050 = -k*u + 6*u - 2*i. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 2*y + 35, -21*c + 11*c + 2*y + 60 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -72 at least as big as -52654?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (2 - (-3 - -7) - (-9 - -27))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 + 2*j**3 - 5*j**3)*(-2*j + 3 - 2 + 0).\nAnswer: 2*j**4 - j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaiiiaiaiiiiiiaiii. What is prob of sequence aa?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -34, -67, -100, -133, -166?\n\"Answer: -33*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*d + 15 + 2*d - 15*d)*(-8 + 14 + 11) to q*d + r and give q.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -3. Let n = 1.8 - i. Let k = -0.3 - 0.2. Which is the third biggest value? (a) 0.5 (b) n (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**3 - 6960*w**2 - 98175*w - 344470 = 0. What is w?\nAnswer: -7, 1406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3790*a**3 + 8*a**2 + 21*a + 27*a + 32 - 3802*a**3 - 4*a**4.\nAnswer: -4*(a - 2)*(a + 1)*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 g when four letters picked without replacement from bbgblvggtwlg.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -270 (base 11) in base 5?\nAnswer: -2234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, t: 3, p: 1, k: 1, i: 7}. Give prob of picking 1 p, 1 k, and 1 t.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 297049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 66197292?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3347700 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54372*g**6 + g**5 + 22*g**2 + 6186.\nAnswer: 6524640*g**3 + 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-9))\/(90\/81). Let r = 22.2 - 22. What is the second biggest value in r, s, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g. Let r(i) be the second derivative of 0*i**3 + 0 - i**2 + 1\/24*i**4 + 4*i. Let v(o) be the first derivative of r(o). What is q(v(b))?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 166 - 163. Let v = 255 - 255.1. Let l = 0.4 - 0. Which is the nearest to v? (a) l (b) -8 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -85\/3, 0.4, 2 in ascending order.\nAnswer: -85\/3, -1, 0.4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11119176163508 and 4.\nAnswer: -11119176163504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1389, 1391, 1393?\n\"Answer: 2*r + 1387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p**3 - p**2 + 2*p - 1. Let j be n(1). Suppose 4*q - 6 = 5*m, -m - 5*q - 15 = j*m. What is the smallest common multiple of 1 and 1*-2*m\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31005*h**3*n**2 + 399*h**3*x - 5*h**3 + 2*h**2*x + 14*n**2*x + 2*n*x + 536 wrt n.\nAnswer: 62010*h**3*n + 28*n*x + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74\/3 - 25\/6. Let i = -29 - t. Let x = 0.3 - 1.3. What is the closest to 1 in -4, x, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 14321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -324?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g + 18. Let c be z(8). Suppose 3 = n + c. Is 5 - -796 - (n + 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 - 0.3. Let t = 74 - 74.5. Which is the biggest value? (a) 0 (b) t (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 2338810.\nAnswer: 4677620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104284*c**2*i**2 - 430*c**2*i - 327*c*i**2 - 13*c*i - 302*c - 2*i**2 - 1 wrt c.\nAnswer: -208568*i**2 - 860*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 13*u + 23. Let r = 27 + -16. Calculate the remainder when q(-5) is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 8*t**2 + t + 6. Let w be j(8). Calculate the least common multiple of (1 + w\/(-10))*-10 and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*d + 75*d - 33*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-340)\/(-168) + (4 - 7) and (-18)\/10 + (-58)\/(-29) + (-122)\/(-240).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t + 11. Let s(j) = 3*j**2 - 5. Let w(p) = s(p) + u(p). Let n(m) = -2*m**2 - 2*m - 5. Calculate -4*n(a) - 3*w(a).\nAnswer: -a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uduu when four letters picked without replacement from duhddudduuuuuuuuhudd.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -7*g**3 + 3*g**2. Suppose 84 = p + 2*r, -4*p + 180 = -3*r - 156. Let l(u) = 26*u + 35*u**2 + 18*u - 44*u - p*u**3. What is 35*h(c) - 3*l(c)?\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 6.7. Let y = -6 + 9. Let j be (-5 - -4)*1\/y. Which is the nearest to -0.1? (a) -5 (b) j (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 4*f = -17, 0 = -4*u + 126*f - 128*f - 26 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005452 to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 3*r + 1059, 2*i + 485 = -r - 44. Suppose 33*w - 2843 - 9829 = 0. Let m = w + i. Does 31 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, o: 12}. What is prob of picking 3 w?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -209671, -419359, -629045, -838729, -1048411, -1258091?\nAnswer: -1467769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 468*f - 48680. Determine k(-156).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4223? (a) 0.3 (b) -5 (c) 6 (d) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-16 - -12)\/(28\/(-3423))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 1\/6 (c) -2 (d) 0.041 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.068 - -0.004. Let l = y + 0.364. Which is the nearest to 0.2? (a) l (b) -6 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -153900.699726 + 153901. Let f = -19.2 + 18.9. Let v = f + q. What is v rounded to five dps?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.044 - 30.956. Let s = 31.72 + j. Round s to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 143.5.\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u + 30. Let w be l(-16). Let n be (1 - w)\/((-5)\/(-25)). Solve 4*i - i = -n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k + 10. Suppose -23*l + 18*l - 70 = 0. Let y be d(l). List the prime factors of y + 0 + (-3)\/3.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 570 + -569. Factor -o + 1\/2*q**2 - 3\/2*q + 3\/2*q**3 + 1\/2*q**4.\nAnswer: (q - 1)*(q + 1)**2*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 30. Let w(d) = -5*d + 0*d + 1 + d**2 + 3*d + d. Let k(z) = -6*z**2 + 13*z - 12. Let o(a) = f*w(a) - k(a). Calculate o(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26731385 is divided by 2917?\nAnswer: 2914","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10006, 12934, 15862?\n\"Answer: 2928*r + 7078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - -6 - (-27 - -46).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 28*h = -27*h - 23, 0 = -3*m - 3*h + 9 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 17. Sort -4, j, -1.\nAnswer: j, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*k**2 - 6844*k + 30570 = 0. Calculate k.\nAnswer: 5, 3057\/73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1112, -1131, -1164, -1211, -1272, -1347?\n\"Answer: -7*w**2 + 2*w - 1107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (20 - 46) + 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x + 3 - 6*x + 6*x - 5*x. Let o be w(-7). Suppose 0*k - 15 = -k - 3*u, k + 2*u = o. Solve -3*v + 3*h - 27 = k, 1 = 2*v - h + 14 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2. Let x(j) = j - 9. Let q be (-108)\/30*(2 - (-18)\/(-4)). Let i(o) = q*g(o) - 2*x(o). Let w(p) = 16*p. What is i(w(c))?\nAnswer: -32*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1862917 - 1215453. Suppose -705097 = -2*y - 5*o, -4*y = -2*o - o - 1410129. Suppose -y = 4*c + h. What is c rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2 + 17*q - 5. Let l(h) = 103*h**3 - 8*h + 7. Let a be l(1). Suppose -62 + a = 5*b. What is d(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 57*i**4 - 318*i**4 + 7*i**5 - 9*i**5 - 2*i**5 + 2*i**5 + 4*i**5 + 0*i**5 + 0*i**5 - i**5 + (0*i + 0*i + 3*i**2)*(-2*i**3 - i**2 + i**2).\nAnswer: -5*i**5 - 261*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a**4 + 6*a**2 - 33?\nAnswer: 8*a**3 + 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*h, 4*h = 27 - 11. Let g(k) = -35*k**r + 12*k**2 + 14*k**2 + 8*k**2. Let u(n) = 34*n. Give u(g(o)).\nAnswer: -34*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -9122291\nAnswer: -2\/9122291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 8*q**2 - 21*q + 163. What is the tens digit of p(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 22\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 7*m + 175. Calculate the remainder when x(30) is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - 5*(-1 - 0). Suppose o*u + 3*c = 94, 4*u + 5*c = -10 + 196. Is 22 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -202 (base 3) to base 11\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1488 is divided by 251?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 114 or 108?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - 38. Let h be ((-8)\/3)\/(10\/g). Suppose 8 = 3*d - u, 0 = -2*d + 4*u - 1 + 3. What is the highest common divisor of d and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276233.2 rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - q = 766, -2*x - 6*q = -10*q - 772. Is 29 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 40 + 59 - 3*s - 322 in the form k + l*s and give k.\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 1:11 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nk when two letters picked without replacement from {n: 1, i: 1, m: 1, k: 1, y: 1, x: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oy when two letters picked without replacement from geggggfoegeowygygooo.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 times 18?\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13498 - 175458\/13. Suppose v*p + 2\/13*p**3 + 8\/13 + 10\/13*p**2 = 0. What is p?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 9:18 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 6369074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 52*d + 510. Calculate y(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1081 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2003 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: Simplify (((((o*o*o*o*o**(2\/33)\/o*o)\/o*o)\/o)\/o**7*(o\/o**(2\/5)*o)**(-3\/13))**44)**(6\/5) assuming o is positive.\nAnswer: o**(-73936\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13650215 and 151709.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*w**2 + 477352*w - 477352*w.\nAnswer: -277*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4719183*w**3 + 288*w**2 + 1028*w - 2 wrt w?\nAnswer: 28315098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 + 4 - 3*s**2 - 4*s + 2*s**2. Let x be f(6). Let m = -1 + 17. What is the highest common divisor of m and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 56*x + 3. Let i(w) = -55*w - 3. Determine -2*i(g) - 3*n(g).\nAnswer: -58*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l - 29. Let g be p(-19). Let w = -24 - -48. Let c = w + g. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 4*f**5\/5 + 5*f**4\/3 + 2*f. What is the third derivative of p(b) wrt b?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(968))\/sqrt(4))**2.\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/10*-42*475\/(-83790).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1*1*2\/(-1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -486018359 to the nearest 1000000.\nAnswer: -486000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 8:41 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 6*c**2 - 3*c**2 + 21*c**3 + 23*c**3 - 38*c**3 + 0*c**2 - 6*c - 7. Determine m(-3).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15\/(-10)*(-8)\/192)\/((-11)\/(-132)). Which is the closest to 4? (a) -3\/5 (b) v (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11637?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -111 - -111. Suppose 4 = -4*k, 4*m - 30 = -o*m + 2*k. What is the lowest common multiple of 9 and m?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -417109.9717 rounded to the nearest 1000?\nAnswer: -417000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.3 + -8.3. Let b = 6.9 + v. Let l = -3.55 + -1.45. Put 5, l, b in descending order.\nAnswer: 5, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 8.10667 millilitres to litres.\nAnswer: 0.00810667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*f + 8, 5*f - 5*t + 1 = 21. Suppose 3*i + f = 4*i. Suppose i*q - 6 = 3*b + 2, 0 = -4*q - 3*b + 32. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.093 * 5.\nAnswer: -0.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -5*h + h - 70, -4*f + h = 68. Let o be 1 + 2 - f\/(-12). Which is bigger: 2 or o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.062 + -4.062. Let j = -628\/3333 - -2\/303. Which is the biggest value? (a) 0.2 (b) -1 (c) j (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 - 46.4. Suppose 0 = -k - k + 5*y + 8, -20 = -5*k + 3*y. Which is the nearest to -0.2? (a) 3\/7 (b) k (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 6*b - 50. Let k be x(8). Let u be (10 + -11)\/((-2)\/k). Let p(y) = 3*y. What is p(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -163166*j**3 + 238810 wrt j?\nAnswer: -489498*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.94567 millennia to years.\nAnswer: 13945.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47665969?\nAnswer: 13, 3666613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*(-125)\/550 + 2\/(52\/71)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -245281.88607605?\nAnswer: 245278.88607605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - p - 1. Let x(r) be the second derivative of -r**5\/10 - r**4\/3 + r**3 + r**2 + 214*r. What is 4*s(d) + x(d)?\nAnswer: -2*d**3 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -391 - -570. Suppose 101 = -5*m - j. Let z = m - -215. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*x - 4*x. Calculate the remainder when (x - -2)*60 + 3 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 635?\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**5\/4 - 33*k**4\/2 + 369*k**3\/4 - 435*k**2\/2 + 231*k - 90 = 0 for k.\nAnswer: 1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4*p - 13 = -1, 0 = 4*p - 12. Suppose b = 4*c + 10*c - 14. Solve -c = -r + 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -283191\/44 + 6435. What is the common denominator of -13\/88 and z?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**6*o**(-3))\/((o\/(o\/(o*(o\/(o*o*o**5*o))\/o)))\/o**(-4)) assuming o is positive.\nAnswer: o**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4615456, -9230895, -13846334, -18461773?\n\"Answer: -4615439*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 14. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u - 4 + 56 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160766 and 992?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*j + 5. Determine c so that c**5 + j*c**5 + 6*c**4 - 11*c**3 + 2*c**4 - c**3 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -32\/921, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(637)*1 + sqrt(637) + sqrt(637)*-1 + 4.\nAnswer: 2 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27 - 27 + 4*u**4 + 0*u + 0*u + u**4 + (0*u**3 + u**3 + u**3)*(3 - 3 + u) - u**4 + 0*u**3 + 0*u**3 + u**4 + u**4 - u**4 + 4*u**4 + 0*u**4 - 2*u**4.\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -215.7, 3\/4, -2, -15 in increasing order.\nAnswer: -215.7, -15, -2, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-36)\/42)\/((-2)\/(-14)). Let m = 6 + c. Let l be m\/((-3 - -1)*-1). Solve 5*i + 0 + 5 = l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1886 - -3?\nAnswer: -1883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80520 + -56939. What is the ten thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 3*v**2 - v - 2. Let b be w(-3). Suppose 0*x + 4*x = 0. Suppose 0 = -2*j + 2*s + 12, -j - 3*s - 3 + 1 = 0. Solve x = a - b + j for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 10:24 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1856 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 16) to base 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14337 and 354?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (26\/39)\/(4\/(-6)). Which is the nearest to k? (a) 0.1 (b) 0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1142 (base 5) in base 14?\nAnswer: -c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.36 - -0.04. Let d be (-14)\/(-12)*(-21)\/14 - -2. Let r = 78 - 77.5. What is the closest to -1\/5 in d, r, k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r + 7280 = 2*r. What is the highest common divisor of 156 and r?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -179 - -2329\/13. What is the smallest value in 36, -1\/7, m?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**5\/20 + r**4\/24 - 2*r**2. Let l be z(1). Let p be (l\/10)\/((-2)\/(-10)). Solve 5 = p*d + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -2\/5, -3\/4, 2\/309 in decreasing order.\nAnswer: 7, 2\/309, -2\/5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 392*i**2 - 1323*i + 109. Give b(3).\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 5, 0 = -0*t - 2*t + 5*c + 7. What is the highest common factor of t and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 + -42. Suppose p = -12*q + 16*q - 16. Solve 0 = -q*s + a + 1, -3*s - 5*a - 26 = -2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 7:13 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -14278 rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-13)\/(o*o\/(o*o**34\/o)*o*o*o) assuming o is positive.\nAnswer: o**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 111100?\nAnswer: 111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (36 - (1 + 7 - -2)) + 8 + 8\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 x when two letters picked without replacement from {v: 4, y: 1, x: 1, q: 4, k: 2, f: 3}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 37*v**2 + 38*v + 88. Let z be (-3)\/(108\/1304) + 2\/9. Let m be r(z). Solve -5*t = -m*t + 55 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 191161 + -53525001\/280. Calculate the common denominator of -27\/25 and r.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 5*m, -3*m = 2*h + 12. Let t be 10 + h + (3 - (-8)\/(-2)). Let k(s) = -s**2 - s + 1. Determine k(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, g: 1, y: 1, r: 2}. Give prob of picking 1 r, 1 y, and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.14, 3, 7\/2, -0.8?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 167*v**4\/24 + 1993*v**3\/6 + 228*v**2 - 4*v. What is the derivative of o(d) wrt d?\nAnswer: 167","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - c + 0*c)*(6 - 3 - 1) + 3*c - 4*c + 3*c + 3*c + c - 3*c - 4*c + c + 2*c + 3*c - c - c + (2 - 2*c - 2)*(-3 + 3 + 2).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - 3213 - 3287 + 6500.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16.4 - -0.6. Let f be (114\/(-399))\/((-2)\/(-14)). Put p, f, 5 in decreasing order.\nAnswer: p, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, n: 2, v: 1, q: 4, s: 3}. What is prob of picking 1 b, 1 n, and 2 s?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -2 - 6 - (-3495 - -3462)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -6*g**2 + 1278*g + 24445. Calculate s(-18).\nAnswer: -503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 1:16 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 75\/2 of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/42*-2)\/((-325)\/(-390))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 4*o + 4*p, -537*p - 9 = -o - 535*p for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 244453349 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25243549 to the power of 1\/4, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**5\/12 + 545*f**4\/72 - 515*f**3\/9 + 255*f**2. Determine x, given that z(x) = 0.\nAnswer: 2, 103\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 7*w**2 - 13*w + 2. Is i(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*d**3 - 45*d**3 + 310*d**3 + 76*d**3.\nAnswer: 374*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -531*a**2 - 706*a**2 + 84*a**2 - 1074*a**2.\nAnswer: -2227*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(48)\/sqrt(4) + -1 + 1 + 0 + sqrt(588).\nAnswer: -3 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154021451 (base 6) to base 15.\nAnswer: -44886d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 266.2138374 to 2 decimal places.\nAnswer: 266.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*y - 23*y - 566*y**3 + 79*y**3.\nAnswer: -487*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 351938 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*f**3 + 23*f + 2 - 96*f + 22*f + 51*f.\nAnswer: 87*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -1\/4, -1\/10, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -35627\/2 and -17813 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -576, -716, -860, -1008, -1160, -1316?\nAnswer: -1476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-30)*16\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*n + 26*n + 50 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/20 - 2\/(-5). Let j be ((l\/3)\/(-3))\/2. Suppose -6 = -2*z - j. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 658 = 4*g. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**5 - 463*q**4 + 12517*q**3 + 40360*q**2 + 41297*q + 13927. Let u(x) = -x**5 - x**4 - x**3 - x + 1. Let o(i) = -s(i) + 3*u(i). Factor o(f).\nAnswer: -4*(f - 59)**2*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-9))\/(1\/3)*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.858 + 0.142. Let z = -23.2 - -23. What is the closest to 1 in z, 0.16, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244*j**3 - 40*j**3 - 5*j**3 - 366*j**3.\nAnswer: -655*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 1608261?\nAnswer: 1608265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-32)\/(-14) + 4\/(-14). Suppose -4*a + 3*j = 0, 4*j - g*j = a. Let w = 3 + a. Solve -5*m - u = w*u - 12, 9 = -m + 3*u for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b - 4. What is the tens digit of u(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (889 + 445 + 291)*(-2*j + 2*j + j) to h + r*j and give r.\nAnswer: 1625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 71490 to the nearest one thousand.\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1736 divided by 8\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5 = -19. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 9:11 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 28*d**2 - 12*d - 6. Let x(h) = 400*h**2 - 170*h - 85. Let i(a) = 85*w(a) - 6*x(a). Let m(b) = -5*b. Determine i(m(n)).\nAnswer: -500*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 320 and -0.5.\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2738?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiisiirsirss. What is prob of sequence siss?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57817, -57690, -57441, -57070, -56577, -55962?\nAnswer: -55225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11284\/(-8) - (-7 + 0). Let b = g - -1452. Find the common denominator of b and 11\/9 - 2\/3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -114 * 0.3.\nAnswer: -34.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2*o + 3*k = -5, 0 = 2*o - 5*k - 19. Is ((1772\/(-1))\/2)\/(-4 + o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - -12. What is the greatest common divisor of u and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2117 is divided by 216.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**3 - 5*c - 5. Let s(t) = t + 1. Suppose 4*k + 2 = -14. Let f(n) = n**2 + 3*n + 1. Let l be f(k). What is l*s(i) + j(i)?\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 12:35 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21560*q + k = 21565*q - 23, -q - k = 11 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) -0.3 (b) -24 (c) -0.2 (d) 0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 358, 1101, 2324, 4027, 6210?\nAnswer: 8873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 79, 117, 155, 193, 231?\nAnswer: 269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-2)\/1)\/4)\/(41\/(-328)). Let q = 1 - 1. Suppose 4*t - 13 - 3 = q. Solve -3*z - z = 12, -g*z - t = -2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 688 + 0*f - 688 - 6*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3695356239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 36*c**2 - 71*c + 9. Let u be q(2). Let r be -3*(16\/6 - 0). Let o = r - -9. What is the highest common factor of o and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-14) + 1\/(-21). Let t = 2.6 + -1.6. Which is the closest to f? (a) -1 (b) t (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 5 = -5*f - 35, -14 = 2*f + 2*l for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 - (-6 - -18))*1 - -18. What is the second smallest value in -10, -3\/7, -0.1, b?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 - 40 - (-1 - 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 26*l - 132. Let k(p) = 14*p + 148. Let y be k(-11). Does 5 divide b(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l - 5*l + 4*l)*(2 - 2 + l)*(0*l**3 + 5*l**3 - 2*l**3).\nAnswer: -18*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -8*y + 44 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/4 and (-3)\/(-80)*(-8832)\/(-5856).\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -6.9, -2 in decreasing order.\nAnswer: 4, 0, -2, -6.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -414 - -739. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 58040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 372880 divided by 316.\nAnswer: 1180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 41*f**2 + f + 6. Determine n(-2).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v**3 - v**2 - v - 5. Let q = 3 + -4. Let g(x) = -x**3 + x**2 + x + 1. Let a(n) = q*g(n) - y(n). Differentiate a(f) wrt f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bf when two letters picked without replacement from mfbmfmowmmfbmmmwmomw?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.07 + -0.07. Let n = -1781 + 1783. Sort z, 0.2, n in decreasing order.\nAnswer: z, n, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(2 - 2*o**2 - 2)*(5*o - 2*o + 6*o + 2).\nAnswer: 18*o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-2))\/(-1)*-9. Suppose 4*y = 5*a - 4 + 35, 5*y - 45 = 5*a. Suppose -2*v + 4*g = -y - 12, 0 = -v - 5*g - 22. Solve -d = v*q - 0*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1053 = 290*l - 618*l + 281*l - 113 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y + 3. Let t(z) = 1. Let x(i) = 2*i**2 + 4*i - 76. Let c be x(-10). Suppose -6*m = -48 + c. Calculate m*t(a) + l(a).\nAnswer: 3*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -555 = 22*x - 639 + 348 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22166 + -13363. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4612 and -119931041616.\nAnswer: -119931046228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (6\/45)\/(70\/875)*-3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*n + 18. Let p = 11 - n. What is the units digit of ((-24)\/9)\/(p\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -110 (b) -3 (c) 0.4 (d) -91\/5 (e) -6 (f) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*l - 60 = -77*l. Solve -6*m + l = -14 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -158*28.9\nAnswer: -4566.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-93)\/(-18))\/((-8)\/(-12)) and 71\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.88 and 2650.\nAnswer: -7632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 6437*y**2. Let a(p) = -p. Give d(a(i)).\nAnswer: 6437*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -16*m. Let k(q) = -757*q**2. What is i(k(z))?\nAnswer: 12112*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39.2 - 39. Which is the nearest to 2\/9? (a) 0.5 (b) 10 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 363*84\/14 - 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-326)\/(-1630))\/((-42)\/20)*10)\/((-10)\/75).\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 967 + -1027. Let r = 1525 - z. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + ((-1)\/1 - -2). Let o(y) = y - y + p + 2 + y. Calculate o(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0471 smaller than -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w = d - 120, -3*w + 3733 = -5*d + 7450 - 3657 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -73.3 in -1, -3\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 84 = 5*t - 29, -4*t + 2*q - 46 = 0. Let o(m) = -m**3 - 15*m**2 - 8*m + 77. Let n be o(t). Let s(w) = -w**3 - 6*w**2 + 7*w - 1. Calculate s(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 227118\/25 + -9084. Factor -q + 6\/5*x - 14\/25*x**2 + 2\/25*x**3.\nAnswer: 2*(x - 3)**2*(x - 1)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f**2 + 105*f - 1798. Give v(16).\nAnswer: -1142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.153 * -623.5.\nAnswer: -1965.8955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -217989544*1.\nAnswer: -217989544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -0.56 (c) -1\/4 (d) 0.3 (e) 26\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85 - 85.142. Let m = -0.0997 - i. What is m rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) + (sqrt(156)*2)\/sqrt(6))\/sqrt(2)*2.\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 4:50 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 35*g - 69. What is the least common multiple of 77 and g?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5580 (base 10) to base 13\nAnswer: 2703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 4:08 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 24*f + 938. Let v be o(-39). Solve -3*g - 12 = -4*p, -14 = v*g + 4*p - 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 1\/4 (c) -17\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 1\/30*b**5 + 0 + 1\/120*b**6 + 0*b**4 + 0*b**3 - 2*b**2 + 0*b. Let o be (-9)\/4 + 2\/8. Determine u(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (0\/1)\/1. Differentiate 3*o**2 - 1 - 1 + l with respect to o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u. Let g(o) = 2*o - 2. Let j(w) = -5*d(w) - g(w). What are the prime factors of j(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 177765702 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9348294 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1957918 and 8336.\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/11009?\nAnswer: -2\/11009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + l**2 - 3*l**2)*(-2*l - 3 + 3) + 2199 - 21775*l - 661 + 21777*l + 2*l**3.\nAnswer: 4*l**3 + 2*l + 1538","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -831, -1, 11\/3, -0.2?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -336 - -338. Factor 4*z**4 + 8*z + 2*z**2 - 6*z**m + 2*z**3 - 11*z**3 + z**3.\nAnswer: 4*z*(z - 2)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4 + 108238*k**3 + 2925183757*k**2 - 199288022076*k + 3390024804804 = 0 for k.\nAnswer: -54153, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 26670 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/4*4*(-6)\/(-24)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41501\/23 + 1804. Let a = t - -114\/115. Factor 3\/5*x**2 + 0*x - a.\nAnswer: 3*(x - 1)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1096 is divided by 106.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -258? (a) -5 (b) 106 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -10 (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (((-42)\/9)\/(-7))\/(20\/(-270))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 17. Calculate x(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6312020 to the power of 1\/4, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.463 + -0.063. What is the second smallest value in r, 0.2, 0.1, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**6\/120 + 23*p**5\/60 - 31*p**4\/8 + 3*p**2 + 14. Find the second derivative of v(t) wrt t.\nAnswer: -6*t + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5610 = -2*b - 4*w + 4174, 24428 = 5*b + 2*w. What are the prime factors of b?\nAnswer: 2, 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334362\/51 + 34\/(-289).\nAnswer: 2, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Are -1500 and -1503 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2092 and 4707?\nAnswer: 18828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(434\/70 + -6 - 9\/(-30))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -158838 + -643?\nAnswer: -159380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t**2 + 241947 + 16*t**3 - 3*t**2 - 2*t**4 - t**2 - 4*t - 241953 in the form b*t**3 + i*t**2 + p*t**4 + u*t + j and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.6, 24, 0.3, 2\/21, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 18 = a - 0, 5*c = -3*a + 50. Let o(d) = d**2 - 16*d + 19. Give o(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = -2*n + 27. Suppose -2 - n = 5*h. What is the units digit of (284\/28 - h)*14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, 735, 1\/3, -0.34, 4, 8 in ascending order.\nAnswer: -4\/9, -0.34, 1\/3, 4, 8, 735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 204*u - 8. Let t be m(1). Factor 0*v**2 - t*v + 216*v - 5*v**2.\nAnswer: -5*v*(v - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z. Let x(i) = 4*i - 2. Let k(c) = -6*c + 11 - 12*c - 3*c. Let n(t) = 2*k(t) + 11*x(t). Calculate p(n(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84736 and 2432?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -115 + 11. Let c = -21 - m. Solve 7 = z + c*x, 3*z = -0*x - x + 7 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2668000 divided by -1334.\nAnswer: -2000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7043806599?\nAnswer: 3, 2347935533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*-4*((sqrt(288) - sqrt(288)*-1) + -2) + -3)**2.\nAnswer: -295588 + 19968*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 582199 to the power of 1\/2, to the nearest integer?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143463 is divided by 17926.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -31. Factor 4*u**5 + j - 6*u**2 + 4*u**3 - 5*u**3 - 11*u**3 - u**5 + 9*u.\nAnswer: 3*(u - 2)*(u - 1)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 21 = -3*b. Let u = -135 + 196. What is the remainder when u is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264) + -6*(sqrt(264) + -5*sqrt(264) - sqrt(264)))\/sqrt(8))\/((sqrt(3) - sqrt(972)\/sqrt(9))*3).\nAnswer: -31*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 603199471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 6, 13, 20, 27, 34?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 899424.9 nanometers to micrometers.\nAnswer: 899.4249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -10*y**3 + 430*y**2 - 38*y - 84. Determine r(43).\nAnswer: -1718","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26954119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 662.72 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 28\/23, -1\/5, -2\/11, 2\/11, -61.1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/5 - 5233404*g\/5 - 2282376452268\/5.\nAnswer: -3*(g + 872234)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111110011 (base 2) to base 6.\nAnswer: 11015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -1129.1706.\nAnswer: -1129.5706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18559)\/5817 + (-50)\/(-15).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1361462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*o = 6. Let r(b) = -b**3 - 2*b**2 + 3*b + 1. Determine r(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/4)\/(30\/210*-21)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1079 and 140166?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a hour?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 159511223?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s + 17*s + 10 = 0. Let u(p) = -5*p - 16. List the prime factors of u(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 414*d**2 + 361*d**5 + 10*d**3 - 25*d**5 + 236*d**2 - 8*d**3 wrt d?\nAnswer: 20160*d**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x + x - 630 = -10*x. Which is the fourth smallest value? (a) x (b) -1.1 (c) 1\/7 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 1 + 10 = 0. Let j(o) = -5*o - 1. What is the tens digit of j(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1087 + -2359. Let s = n + 1167.12. Let u = s - -105. Put 1\/4, u, -2 in decreasing order.\nAnswer: 1\/4, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -202698 - -75698. What is f rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2094680 and 239392.\nAnswer: 8378720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b + 2. Let u = 7 - 2. Let a(n) be the first derivative of -3*n**2\/2 + 2*n - 59. Calculate u*o(r) - 6*a(r).\nAnswer: 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17766503430 + -89.\nAnswer: 17766503341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**2 + c - 12. Calculate r(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -2\/11, 5\/6, 34, 3, 1\/2?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 8*r + 2. Let d(m) = 1. Let b(v) = -10*v**2 + 5. Let o(h) = -b(h) + 4*d(h). Let n be o(-1). What is the tens digit of a(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -923 divided by 126.\nAnswer: -923\/126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4211, 8840, 14309, 21038, 29447, 39956?\nAnswer: 52985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 214297453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 10*x**2 - 16*x + 7. Let z be s(8). Suppose l - z = 15. Calculate the highest common divisor of 11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 0 + 0 + 10. Let z = x + -5. Solve 4 = -3*h + z*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 7:32 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-20)\/8 - -3)*40. Suppose -7*l + 2*l = -g. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/849819?\nAnswer: 1\/849819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 65499 or -3?\nAnswer: 65499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 4. Let l = f + -12. Determine q so that q**2 + q**2 - 6*q + 4*q + 4*q**l - 4 = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -391\/2812 + 5\/148. Let p = -0.8 + -0.2. What is the nearest to u in p, -2\/3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1 - (-3 - -5)) + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -143.06 - -143.26. Which is the second smallest value? (a) t (b) -5 (c) 389 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -23*d**4\/2 + 45*d - 64. Differentiate p(w) wrt w.\nAnswer: -138*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.66 - 124.66. Let v = 129 + d. Let y = 3\/2 + -7\/6. Which is the nearest to 1\/3? (a) v (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15273 or 76368\/5?\nAnswer: 15273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((9*115\/7452)\/(10\/8)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -13, -10 in increasing order.\nAnswer: -13, -10, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/52804365 and -13\/2283432.\nAnswer: 422434920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 393677, 787356, 1181035, 1574714, 1968393?\n\"Answer: 393679*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*l**5 - 39*l**4 - 18*l**3.\nAnswer: 3*l**3*(l - 3)*(5*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 338866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7820624 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**4\/6 - 8*s**3\/3 - 5*s**2 + 40*s. Let k be l(-8). Is 29\/2*(k + 4)\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 6*u - 36. Let m be v(6). Solve 4*o - l + 17 = m, 3*o = -2*l + l - 18 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 473 divide 16509119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 8:51 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + -0.2. Let i = 334\/2805 + 16\/255. Which is the closest to g? (a) -1\/3 (b) i (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 118, 182, 246, 310?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g - 17. List the prime factors of j(13).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 43, -34212 in descending order.\nAnswer: 43, 4, -34212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 - 3*p + 2. Let r be f(-3). Suppose z = -58 - r. Let g = z + 123. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -5) + (27 - (2 + 9 - -40)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -l**5\/60 + l**4\/6 - 2*l**3\/3 - l**2. Let c be n(2). Suppose -39 = -v + 6*v + 3*d, c = d - 2. What is v rounded to 0 dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 - 16. Let h be 65\/l + 2\/(-8). What is p in 15*p**5 + 15*p**4 - 12*p**5 + 12*p**2 + 3*p**3 + 21*p**h = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**2 + 2*o**2 + o**2 + (-1 + 0 + 0)*(0*o**2 - 4*o**2 + 2*o**2) - 2*o**2 - 1 + 1 + 6*o**2 + 3*o**2 - 18*o**2 + 23*o**2 - 39*o**2 + 166 + 18*o**2.\nAnswer: -5*o**2 + 166","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(27*l + 91 - 91)*(11 + 521*l**2 - 1043*l**2 + 523*l**2).\nAnswer: -54*l**3 - 594*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23128370 rounded to the nearest 10000?\nAnswer: 23130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*z - 12*z = 225. What is the greatest common factor of 795 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9123.318 years to decades.\nAnswer: 912.3318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 + -54064?\nAnswer: -54080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1003133124 (base 5) to base 8\nAnswer: -7514646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*c + 2060, 6*c + 6260 = -3*y + 2*c. Calculate the common denominator of (-1014)\/y - 4*(-2)\/(-60) and 53\/3.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55079?\nAnswer: 55079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 41168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06001 - 499.93999. Sort 3, 5, r in descending order.\nAnswer: 5, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/2 + (3 + 0)\/(10\/1). Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4\/8 + 3*r**3\/4.\nAnswer: 3*r**3*(r + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 7498*g + 8. Suppose 2*v = 7 + 1. Let l be m(v). Round l to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -219 - -217.8275. Let m = w - -1.473. Let b = 0.3 - m. What is b rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 + -11. Suppose 4*s = 5*b + d, -2*s + 22 = -0*s - 5*b. What is the third derivative of 7*g**2 - 6*g**2 - 2*g**5 + s*g**2 wrt g?\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xnn when three letters picked without replacement from xxnxxnxxxxnxnxxxxxx.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 plus 0.95?\nAnswer: -16.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -r + 2*o + 24, -r = -o. Suppose -a - 2*a + 15 = 0. Put a, 3, r in ascending order.\nAnswer: r, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 31*q**3 - 14*q**3 + 65*q**3 - 21*q**3.\nAnswer: -q**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 15*j + j. Let s be 3 - 1764\/581 - j\/3. Which is bigger: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03 + 0.0147. Let o = -0.2017 + y. What is o rounded to two dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -157929*c - 3000695. Give j(-19).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**2 - 5*a - 2*a**3 + 6*a + 12*a**2 to u*a + t*a**2 + q + g*a**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 756099805 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-100))\/(12\/420)*(-180)\/(-27).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 + -32. Let n be w - -5 - 342\/81. What is the closest to 2\/7 in 1\/2, n, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/30 - (-26)\/(-6). Let s be 0\/(x\/(5\/2)). Solve s = 3*g + 2*g + 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2562*c**2 - 63*c + 126. Let h(r) = -205*r**2 - 5*r + 10. What is -5*a(w) + 63*h(w)?\nAnswer: -105*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*p + 56*p = 0. Let x(w) be the third derivative of 0*w + p - 1\/15*w**3 - 1\/200*w**6 - 4*w**2 + 1\/300*w**5 + 1\/1050*w**7 + 1\/40*w**4. Factor x(f).\nAnswer: (f - 2)*(f - 1)**2*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**6\/120 - 3*w**5\/20 + 5*w**4\/12 - 2*w**3\/3 + 18*w**2. Let h be u(8). Solve 0 = 3*b - 3*m + h, 2*b = -2*b + 3*m - 11 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 710328723?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 7*l**3 + 13*l - 12. Let a be w(1). Let q be (1008\/30)\/a - (-2)\/(-10). Let c be (0\/(-2))\/(2\/(-2)). Solve c*z = q*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 208 + -1041\/5. Which is the second biggest value? (a) -3 (b) u (c) 1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + t**2 + t. Let u(n) = -10*n**3 + 34*n - 8*n**3 - 6*n**2 - 55*n. Let h(p) = 6*s(p) + u(p). Find the second derivative of h(v) wrt v.\nAnswer: -72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 4. What is the closest to 2 in -0.2, u, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 25 + 26 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/35 + (-24)\/10. Suppose -4*y + 2*l + 19 = -3*y, 0 = -l - 5. Sort 2, y, c in ascending order.\nAnswer: c, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*j = -137 + 417 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/i**(-6)*i))\/(i\/(i**(-3\/2)*i))*i**(-3)\/i**(-1) assuming i is positive.\nAnswer: i**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1*sqrt(1152))**2 + sqrt(320)\/(sqrt(50)\/sqrt(5)).\nAnswer: 4*sqrt(2) + 1147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 100012 (base 5) in base 16?\nAnswer: c3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71841 is divided by 6530.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -526941.19 rounded to the nearest 10000?\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*k**4\/8 + 151893*k**3\/4 + 70646797*k**2\/2 + 15693663*k + 1743532 = 0.\nAnswer: -2044, -1706, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khss when four letters picked without replacement from pgyygpgkshshgp.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(18)\/sqrt(3) + sqrt(6))\/sqrt(3).\nAnswer: 2*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1776797 less than -1776797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -j + 43946 - 15381, j = -4*u + 28544. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a5 + -2398?\nAnswer: -22e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/9 - 2926\/126. Let f = m + 25. Solve 0 = 4*r + f*l + l - 17, 0 = -4*r - 4*l + 16 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from euxxjxueujyuyyu. Give prob of picking 3 x and 1 j.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2962, 2989, 3034, 3097?\nAnswer: 3178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 0.124778264191\nAnswer: -0.224778264191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194723231?\nAnswer: 194723231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -75900 - -119382. Suppose -4*w + 9*w = -3*i + h, -i - 5*w = -14504. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tpkpvcppvppt. Give prob of picking 1 c, 1 p, and 1 k.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 6:46 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 808626621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, w: 1, l: 3}. Give prob of picking 2 e.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1311 - 13*u + 0*u + 695 + 656 to x + g*u and give x.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36473 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 14 - 10*z - 3 + 1.\nAnswer: -10*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*y - 14287899 = 0, 7*y + 2857589 = -d + 2*y. Let j = d - -1667579. What is j rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7224338599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 6:46 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22562.97ml in litres?\nAnswer: 22.56297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81827, -81832, -81821, -81788, -81727, -81632, -81497, -81316?\nAnswer: -81083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 520 and 32.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*x - 13, 105*d = -2*x + 107*d + 2. Suppose 0 = -4*q - 4 + 20. Suppose 27 = -n + q*n. Solve -5*u - x = n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2686649 by 5.\nAnswer: -2686649\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 11\/2 (c) -49 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*g - 2 - 7*g - 4*g)*(-3*g + 3*g - 4*g)*(2*g - g - 2*g) in the form y + f*g**3 + v*g**2 + t*g and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2597 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 12089*s**2 + 11*s + 19. Is b(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 11*q**2 + 2. Let i be f(11). Suppose 0 = -3*w - i - 4. Which is the biggest value? (a) w (b) -2\/13 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -172 (base 9) to base 6.\nAnswer: -402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**18)**(6\/5)*y**3*y*(y*y**(-1))\/y assuming y is positive.\nAnswer: y**(123\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = 3*l - 23. Let k be ((-2)\/(-2) - 0) + l. What is the biggest value in 0.5, -2\/15, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 15*t - 90. Let a(p) = p**3 + 17*p**2 - 139*p - 17. Let q be a(-23). What is u(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -5, 78, 151, 1, -415.\nAnswer: -415, -5, -4, 1, 5, 78, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 111*n**2 + 80*n + 5. Let h(q) = -112*q**2 - 79*q - 6. Let v(b) = -5*h(b) - 6*l(b). What is the second derivative of v(c) wrt c?\nAnswer: -212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.32 times 104?\nAnswer: 1801.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 6*z - 13 - 4*z + 27 + 29.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x + 13. Let c be h(6). Let j be ((5 - 12) + -16)*1. Let l = j + c. Is l equal to -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.677 - -0.7984. Let i = 5.3886 + q. Round i to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 3:53 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1138, 1975, 3372, 5329?\n\"Answer: 280*v**2 - 3*v + 861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 28057079?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (3 - -3) + (150 - 160)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -1302077 and -1302078 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007021437 rounded to seven dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112 (base 3) to base 6.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.015 - 0.115. Let u(h) = h**2 - 6*h - 5. Let k be u(6). Which is the nearest to n? (a) k (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -21, 0.09?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -161 in 2\/17, 3, 6, 2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a - 2 = 0. Suppose 2*d - 24 = 6*d. Calculate the lowest common multiple of a and 4\/d + 38\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 289*v**3 - 1105*v**2 + 1392*v - 576.\nAnswer: (v - 1)*(17*v - 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 528925362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1108285, 2215698, 3323111?\n\"Answer: 1107413*r + 872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 149017, 298035, 447053?\n\"Answer: 149018*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.266 and 477.01956.\nAnswer: 476.75356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.003 (b) -5\/2 (c) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (52*s - 3*s - s)*(-3 + 19 + 42) to a*s + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-71)\/((-1420)\/56))\/((-4)\/(-30))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(117)\/sqrt(441).\nAnswer: 5*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -6*a**2 + a + 9. Let c(z) = -5*z**2 + 2*z + 8. Let r(s) = -4*b(s) + 5*c(s). Let h be r(6). What is the remainder when 7 + (-4)\/h + 3 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8098775078036003 + -8098775550112779.0000053. Let g = b + 472076847. Let i = g - 71. Round i to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 35 + 163 = 0. Round f to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 9809 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*w + w + 5582, -4*w - j = 4466. What is the tens digit of w\/(-15)*15\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i**3 - 3*i**2 - 2*i + 2. Suppose 0 = -12*r - 18*r - 12 - 108. Let x(o) = -7*o**3 + 4*o**2 + 2*o - 3. What is r*x(y) - 5*d(y)?\nAnswer: -2*y**3 - y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 2002321221?\nAnswer: -2002321213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 + 57.2. What is the second biggest value in -2, 2, c, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 + -0.06. Let w = o - -6.08. Let v = 6.000064 - w. What is v rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 3. Suppose q*d - 10 = 2*c + 2, 2*d = 5*c. Let g(z) = 2*z + 2. Let f be g(4). Solve 5*n - 16 - f = -4*j, 0 = -5*n + 5*j - d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -6. Suppose 5*x - 6*r = -2*r, 2*r + 6 = h*x. Suppose 2*l = -5*j - 33, 5*l + j + x + 21 = 0. Let w(n) = n + 3. What is w(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102 and 2958?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37877317, -75754633, -113631949, -151509265?\nAnswer: -189386581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1977 plus 42070514?\nAnswer: 42070513.8023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 30389321 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h - 10. Determine r(-15).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -102302011 (base 4) in base 15?\nAnswer: -17bdd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) 0 (c) 2 (d) -27.2 (e) -0.3 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67\/105 + 1\/35. Let x = 1.41 - -0.19. Let m = x + -1.2. Which is the smallest value? (a) 0.5 (b) f (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 5 = 3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 110122 divided by -1932?\nAnswer: -55061\/966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 4*f**3 + 12*f**2 - 132*f - 140 = 0.\nAnswer: -7, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 42211?\nAnswer: 253266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-3)\/(-2)*21\/((-13041)\/92)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -16*d - 553. Let h = d - -64. Which is bigger: -13 or h?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*i = -72. Is i a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 9*f + 16. What is s(11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 21 = -3*d - 2*v, -3*d + 2*v + 9 = 0. Put 1, d, -196 in decreasing order.\nAnswer: d, 1, -196","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 193, 149, 73, -35, -175?\n\"Answer: -16*r**2 + 4*r + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - k - 1. Let i(d) = 6 + 6*d**2 + 0 + 7*d + 1. Suppose -10*l + 10 = -5*l. Suppose l*t = -2*c + 92, -3*t + 5*t = -c + 50. Give c*r(n) + 6*i(n).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 0 - (33 + -9 - 3).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 3*p**2\/2 - 2*p - 2. Let j(s) = -s**2 - 8*s - 1. Let b be j(-7). Is o(b) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4 - l - 6 + 2*l - 3*l. Is x(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4*o + 5 - 6)*(0 + 1 - 14) to a + v*o and give v.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -1\/120*k**5 + 0 + 1\/16*k**4 - 1\/6*k**3 + 0*k - k**2. Solve i(x) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 10. Let h be 222\/l + 9\/15. Calculate the highest common divisor of 9 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2448 + 2470. What is the remainder when 192 is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**2 + 0*j**2 - 5*j**2)*(-1 - 2 + 0)*(-4*j + 0*j - 5*j)*(-18*j**2 + 3 - 3).\nAnswer: 486*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k - 14. Suppose -2*m + 2*w = -2, 5*w + 3 - 8 = 3*m. Let s = 7 + m. Let c be f(s). Put c, 5, -3 in ascending order.\nAnswer: -3, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2070)\/(-253))\/((-2136)\/(-176) + -7 + -5).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 196 and 24364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1259158\/9 - -139907. What is the common denominator of (-22)\/24*(-1)\/7 and u?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 4*o**2 + 5. Let j(s) = -4*s**3 - 16*s**2 + s + 19. Give 2*j(v) - 9*p(v).\nAnswer: v**3 + 4*v**2 + 2*v - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 2 = -a, -3493*h + 4*a = -3491*h + 14 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -62000 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*-1 + 4 + 36\/(-18). Let f be w*(-170)\/51*6\/(-5). Suppose 0 = -4*i - 4*z + 224, 0*i = -f*i + z + 214. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 38 = 14. Let s(o) be the first derivative of 1\/2*o**2 - 1 + 0*o + 0*o**3 - 1\/4*o**u. Factor s(m).\nAnswer: -m*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(2\/5)\/u*u))\/u)**(-1\/34)*u**0*u**(-2\/5)*((u*u*u**(-2\/9))\/u**(-4\/3))**(6\/5) assuming u is positive.\nAnswer: u**(853\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*d*d**(-3\/2)*d*d)))\/d**4)\/(d**2*d\/(d\/(d**0\/d*d)))*((d\/(d*d*d**0))\/((d\/d**1)\/d))**(1\/14) assuming d is positive.\nAnswer: d**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23908*c**2*v**3 + 43*c**2*v - c**2 + c*v**2 - 9*v**2 wrt v?\nAnswer: -143448*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4 + 15 = 0. Let u = 14 + k. Sort 0, u, 1.\nAnswer: 0, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**4 + i + 0*i + 2*i**4 - 15*i**3 + 9*i**3 + 179*i**3 in the form v*i**2 + w*i + y + x*i**3 + f*i**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 253541393 to the power of 1\/3, to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 71 - 50. Let i = 6 - -1. Is (-154)\/(-3) - i\/v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 4\/7, 5, -1\/2, -65?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 9*l - 4. Let x be t(8). Suppose 6 = 2*r - x. Find the second derivative of 16 - 16 - 8*s**r - 3*s wrt s.\nAnswer: -160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 29478?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1296552 is divided by 441?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t = -8 + 73. Solve 0 = t*k - 10, -2*z + 5*z = -5*k + 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300974834 divided by 17?\nAnswer: 17704402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2311*n**2 - 2051*n**2 + 3027*n**2 + (4*n - 7*n + 2*n)*(-n + 2*n + n) + 3*n**2 - 4*n**2 + 4*n**2.\nAnswer: 3288*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 52 = 52. Let o be p\/(-1) + (-4)\/(-2) - -9. Solve -5*g = -4*k + o, -4*k - 6 = 2*g + 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3 = -9. Suppose -5*b + s*b - 18 = -2*k, 4*b - 28 = -4*k. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54861, 213978, 479173, 850446, 1327797?\nAnswer: 1911226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/3 + 44*k\/3 + 28.\nAnswer: (k + 2)*(k + 42)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-4))\/(-5 - (-60)\/16).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 348971.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 12:58 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 137 - 134.96. Round t to one dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.02 - -0.38. Let d(m) = m**2 + 6*m - 2. Let y be d(-6). Let u be 9\/12 - (-2)\/y. What is the nearest to u in -3, a, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1.5, -1.9 in decreasing order.\nAnswer: 0, -1.5, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 1. Let c(r) = 4*r**2 + 4. What is -c(h) + 2*k(h)?\nAnswer: -2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 576638?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**3\/w*w*w*w**(-4\/7))\/((w*w**(1\/4))\/w**(-5)))\/((w\/w**1)**47\/((w\/(w\/(w**(-4)\/w*w))*w)\/((w*w\/w**6)\/w*w*w))) assuming w is positive.\nAnswer: w**(-51\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.04 - -0.04. Suppose -13*t = -11*t + 6. Which is the nearest to -2? (a) k (b) 0.5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3895\/18 - -216. Calculate the common denominator of -53\/12 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 200 - -67. Suppose 3*j = -4*l + 998, j = -3*l + c + 484. Suppose -6*o + l = -199. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0283 * 41\nAnswer: 1.1603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -6, 152 in ascending order.\nAnswer: -6, 2, 3, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 13 = 3*v, -3*v + 13*n + 14 = 15*n. Let p(x) be the first derivative of 3\/8*x**v - 3\/2*x**3 - 4 + 9\/4*x**2 - 3\/2*x. Factor p(s).\nAnswer: 3*(s - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d**3 - 184 + 90 + 94 - 41578535*d + 41578535*d.\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + (-44 - (3 - 55)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*y + 132*y + 124*y - 379*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 112\/117 - 10\/9. Let s = -981\/1729 - 1\/247. Sort 2, s, 4, a in increasing order.\nAnswer: s, a, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3242.3 - 3242. Which is the closest to -12\/5? (a) -8 (b) w (c) -2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b + 7. Suppose -o = 7 + 3. Calculate r(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1100) + -2 + sqrt(1100)))**2 - (0 + 1*sqrt(66)\/sqrt(6)).\nAnswer: -2001*sqrt(11) + 110100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -15) + 4 + -4 + (38 - (0 - 2)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(495)*-3 + sqrt(55))*-6)\/(((-6*sqrt(500) - sqrt(500)) + sqrt(500) - sqrt(500))*-5).\nAnswer: 24*sqrt(11)\/175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5067 + -2818. List the prime factors of i.\nAnswer: 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2 - 1092 = 0. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2730 or 2729?\nAnswer: 2729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 5*x + 4*j - j - 7, 130 = 65*x - j + 517 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*i + 115 = -158 - 47 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -6*g**2. Let p(s) be the third derivative of -1 + 0*s - 3\/4*s**4 + 26*s**2 + 0*s**3. Determine y(p(c)).\nAnswer: -1944*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -726*o + 726*o - 247*o**2 to the form z*o**2 + u*o + c and give z.\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -34 + 5?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2 - 35\/(-10). Let x(o) = 0*o**2 + 0*o**3 - o**2 - o - o**s - 2*o**2 + 2. Let c be x(-2). Solve -3*b = -c*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**3 + 217841*q - 108924*q - 108918*q.\nAnswer: 3*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2\/19, 1\/2, -1, -19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8806 a multiple of 249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (13 - 12)\/(-85 - -2). What is the third smallest value in 2\/11, -4\/19, 0.4, g, 4\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u + 3*u - u)*(-u - 4*u + 3*u)*(-1 + 4*u + 1) to the form h*u + i + f*u**3 + g*u**2 and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1883*g**3*q**2 + 98263*g**3 - g - 20428*q**3 - 71 wrt q.\nAnswer: 3766*g**3*q - 61284*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (3388\/(-770))\/((-88)\/(-200)*5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2581 rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/11? (a) -1\/24 (b) 1\/3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -0.2. Let d = -7.86 - 0.14. Let a = d - -7.9. Is f equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 + 10056*j - 130052.\nAnswer: -4*(j - 2501)*(j - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 3, -0.6, -1\/7, 2\/137?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45024 + 45021. Let l = 119\/40 - 19\/8. Let n = 1.8 + 0.2. Which is the closest to n? (a) 1\/6 (b) l (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128995972 divided by -9213998.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 16. Suppose -8 = -i + y - 27, 4*i - y + 64 = 0. Let z = 19 + i. Is m not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*a = -70*a - 99 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.61 + 0.11. Which is the closest to -1\/5? (a) j (b) -2 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 20*v**2 - 41*v - 63. Let a be q(22). Suppose 0 = 3*o + a*d - 51, -3*o - 6*d = -d - 49. What is the lowest common multiple of o and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 8689 = -8692 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1760811 and 138.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 79, 76, 73, 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 q when four letters picked without replacement from {s: 2, q: 9, l: 2}?\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k**3 + 3*k**2 - 5*k. Let g(c) = 6*c**3 - 4*c**2 + 6*c. Suppose 3*w + 4*b + 6 = -2, 15 = -4*w - b. Give w*t(r) - 3*g(r).\nAnswer: 2*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -26, -37, -44, -47, -46, -41, -32?\n\"Answer: 2*n**2 - 17*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.738 + 2.738. Let j = -104\/3 + 35. What is the fourth smallest value in q, 4\/9, -3, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -674 = -4*m - q, m - 205 = -5*q - 27. Let t = -147 + m. Does 13 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*n + 35 = -165*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/189 in 1, 0.2, 0.57?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -718, -1015, -1316, -1621, -1930?\nAnswer: -2243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -10 - 0. Suppose -s + 1 = t. Let x be 3 + (-2 - (s + -3)). Solve 2*k - x = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28018503 a multiple of 1167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 22518718 to the power of 1\/2, to the nearest integer?\nAnswer: 4745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 54908 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.8 - -55.2. Let n = 67 - p. Which is the second smallest value? (a) n (b) -5 (c) 1\/5 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*q - 22345 = 0, -3*q - 104308 = -3*j - 11*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -143, -11, -3 in decreasing order.\nAnswer: -3, -11, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*p, 5*h - 2*p + 65 = 2*h. Suppose 4*u = m + 96 - 18, 0 = 5*u - 2*m - 96. What is the tens digit of h*(u\/6)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*j. Suppose -2*y + 7 - 1 = 0. Let f = j + y. Let v(a) = -4*a + 3. Give v(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -11034*m + 75873. What is i(7)?\nAnswer: -1365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 7. Let q(c) = 135*c + 4*c**2 + 0*c**2 - 140*c. Let x(p) = 6*p**2 - p**2 - 4*p - 2*p**2. What is f*q(g) + 5*x(g)?\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*u - 513 = 13*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1765599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 9*b**2 + 7*b + 6. Let f be w(-1). Suppose 0 = f*k - 10 - 14. Solve k*y = -2*y - 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + q - 10. Suppose -4*t + 4*p - 892 = 0, -9 = -t + 5*p - 212. Is 14\/35 - t\/q a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 94116 (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -19*b**7\/210 + b**3\/3 + 24*b**2. Differentiate m(i) wrt i.\nAnswer: -76*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((-2*sqrt(81)*5)\/(1*sqrt(1296)))\/(sqrt(363)*-3 - sqrt(36)\/sqrt(3)))**2.\nAnswer: 1\/147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 33*b**2 + 422*b + 331. Give n(-12).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 g when three letters picked without replacement from {g: 2, s: 1, j: 2, b: 1, d: 7, c: 1}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10338 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 38 = t, -3*t + 3*c - 24 = -t. Let v be (t\/15)\/((9\/(-45))\/1). Let -8\/5*k**5 - v*k**4 + 0 - 32\/5*k**3 - 6\/5*k**2 + 4\/5*k = 0. Calculate k.\nAnswer: -2, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1103100 by -15.\nAnswer: 73540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -179 - -178. Put y, -18, -4 in ascending order.\nAnswer: -18, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3\/8 + 40215*z**2\/8 - 167777721*z\/8 + 205257119661\/8.\nAnswer: -3*(z - 5619)**2*(z - 2167)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/468*(-5 - 0)\/5?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -14 + 80 - (-1 + -1). Suppose -n = -2*u - 4*j, -u + 6*u = -j + 188. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -38893, -77780, -116665, -155548, -194429?\n\"Answer: m**2 - 38890*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -4*h + 4. Let g(k) be the third derivative of -k**6\/720 + k**5\/120 + k**4\/8 + 3*k**2. Let v(x) be the second derivative of g(x). Give v(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -73867*k. Let u(y) = y. Calculate f(u(v)).\nAnswer: -73867*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -9\/2*p**2 - 1\/12*p**3 + 37\/4*p - 236. Determine i so that w(i) = 0.\nAnswer: -37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from wwqcqqqqkqwkqwqq?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*r - 5*r - r + r + 3*r - 3*r + (-1 - 1 + 3)*(-4 + 4 + r).\nAnswer: -13*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-2))\/(3\/(-2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -13998?\nAnswer: 1\/6999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a**3 - 5*a**2 - 5. Let l(t) = -5*t**3 + 6*t**2 + 6. Give 6*h(g) + 5*l(g).\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - q - 333, 0*c + c + 321 = 3*q. What is the units digit of 6\/(-27) + c\/(-27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 2*f - 6, -55*y = -56*y - f - 3. Solve 0 = -k - 2*i + 2 - 4, y = -5*k - 4*i - 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4215, 4214, 4213, 4212, 4211?\nAnswer: 4210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 + 18. Let x = 37 + j. Let l = 12 - x. Sort -4, l, -1 in ascending order.\nAnswer: -4, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**5\/300 + 11*c**4\/120 - c**3\/3 + 11*c**2\/2 - 9*c. Let j(w) be the first derivative of p(w). Solve j(y) = 0 for y.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/(-6) - -2)\/(-3). Let z be (0 - 4\/22) + 14233\/(-17974). Let h = z - -9\/19. Which is the closest to h? (a) d (b) -0.04 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 12, m: 6, k: 1}. What is prob of picking 1 k and 1 m?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-26 + 1 - (263 - 311)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 - -10521272?\nAnswer: 10521307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0, 4999057?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2 + 118*c - 252. Calculate the smallest common multiple of 20 and t(56).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 186\/26 + 468\/(-3042). Solve k*s - 10 = 8*s + 4*y, 3*y = -9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y - 4. Let f be m(-1). What is the remainder when 21 is divided by ((-4)\/((-16)\/(-20)))\/f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 2:03 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 5\/2 (b) 69 (c) 1\/6 (d) -0.5 (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3420 and 8460.\nAnswer: 160740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 1. Let u(j) = -6*j + 5 + 0*j + 4*j - 2*j. Give 18*g(h) - 4*u(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8165?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 3 - 3 - z + 4*z - z + (5 - 3 - 4)*(-3*z + 0*z + z) - 4*z + 0*z + 2*z + 0*z - z + 3*z)*(-15 - 17 - 5 - 6)*(2 - 38 - 7).\nAnswer: 14792*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2303 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 24 = 9. Let c be s + (1 + 1)\/2. What is the second derivative of c*j - 10*j**4 + 13*j**4 - 9*j**4 wrt j?\nAnswer: -72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 35\/(-14)*(-8)\/10. Let x be (880\/6)\/(12\/(-10)). Let o = 122 + x. What is the third smallest value in 3\/8, o, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 6338150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, e: 2, b: 5, j: 3, a: 4}. What is prob of picking 2 a?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 221298\/13 greater than -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 1:14 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/12 + (-17)\/102. Let w(q) = -389*q - 29. What is the hundreds digit of w(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -272428.53 to the nearest ten thousand.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve 18*h - 11*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3 - -1)\/(72 - 70))\/((-6)\/(-54)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87*n**6 + 1710084*n**4 - 1710084*n**4 + 648*n**2 wrt n.\nAnswer: 10440*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1200*r - 3857 wrt r?\nAnswer: 1200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 393 + -167. Let v = n - 222. Solve -12 = 3*l + 3*b, -5*l = v*b - 3*b + 24 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -934, 0.2, 255, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/561 and -79\/15.\nAnswer: 2805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*h + 46. Suppose 10*o + 756 = h*o. Suppose 0*t = 3*t - o. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2128 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2496*c = -596*c - 834*c - 215930 for c.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 4*o - 2 - 14, 5*o + 20 = -2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -5*g + 4*t, 3*t + t = -g - 36. Let i be ((-1)\/36)\/(6\/g). Is i greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-11)\/(-1078))\/((-20)\/(-70)))\/((-1)\/12).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 48, 61.\nAnswer: -3, 1, 48, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 + -42. What is the derivative of -12 + l + 2*a - 2*a - 3*a**2 wrt a?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4127 - -4145. What is the highest common divisor of c and 11160?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33821, 67650, 101479, 135308?\nAnswer: 169137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 8:27 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 20*a**4\/3 - 2761*a**3\/3 + 23146*a**2 + 1893815*a\/3 - 94864\/3 = 0.\nAnswer: -16, 1\/20, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 4*m + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) - (sqrt(143) - 3*sqrt(143)))*6)\/(sqrt(1100) - (sqrt(1100) + (sqrt(1100) + sqrt(1100) + -4*sqrt(1100) + sqrt(1100) - sqrt(1100)))).\nAnswer: 9*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-56)*8\/(4\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3043\/20 - 827\/5. Find the common denominator of x and 14\/33*((-1275)\/20)\/(-17).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_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: Suppose 3*p + 8 = -p. Let l be (-3 - p)\/(5\/170). Round l to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 107846*o**2 + 53*o - 2. Is l(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 0.1. Let u = -4505627\/72 + 62576. Let x = 16\/9 + u. Which is the smallest value? (a) o (b) x (c) 2\/15 (d) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (5 - (-88 + 10) - (33 - 18) - 0)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -471822 - -746385. Suppose -g + 34423 = -20*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -5\/2*d**4 + 5*d**3 + 5*d**2 - 19 + 0*d. Factor l(y).\nAnswer: -5*y*(y - 2)*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + 6, -5*b - 18 = 376*t - 375*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40331 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1828051, -3656092, -5484107, -7312084, -9140011, -10967876, -12795667?\n\"Answer: 2*r**3 + r**2 - 1828058*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000056009924 rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - (-21 + 29)) + (-1 - -10) + 7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 6231 = 3*z, 0*z + z = 4*h + 4978. Calculate the common denominator of (-37)\/30 - 1\/(-3) and (1 - 4)*h\/(-540).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and -0.7626231.\nAnswer: -0.9626231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, 3, -0.015?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 8. Let z be 6\/((-432)\/(-8)) + (-70)\/(-18). Solve 0 = -4*h + 2*r + 12, z*h = x*r + 2 + 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111596 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w - 40. Determine u(7).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1306.9 - -1307. What is the closest to 1 in -0.005, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - h + 1474 = 0, 3*h + 23 - 35 = 0. What are the prime factors of l?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 11*r**3 + 11*r - 50. What is the derivative of i(b) wrt b?\nAnswer: 66*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1056)\/(-208))\/((-10)\/65).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (20 - 82640\/4128)*(-68)\/(-85)\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16049261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 1. Let x(b) = -b + 10. Let z(t) = 1. Let j(i) = x(i) - 6*z(i). Determine 2*j(a) - 9*k(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, -2, 19, 13, 5 in decreasing order.\nAnswer: 19, 13, 5, -2, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*b**3 + 2*b**3 - 4*b**3)*(-b + b - 2*b) + (0*b + 2*b**2 + 0*b)*(6*b**2 - b**2 + 9*b**2) as m*b**3 + g*b + k*b**4 + o + t*b**2 and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8452 is divided by 60.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4)**39*q*q*q\/(q*(q\/(q**(6\/5)\/q))\/q)*q*q**4 assuming q is positive.\nAnswer: q**(816\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 2*d**3\/3 + 1. Let t(f) = -5*f**2 - 58*f + 58*f. Calculate t(r(j)).\nAnswer: -20*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 599547844 a multiple of 1162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/4 of a litre in millilitres?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -43*i**2 + 11. Let l be 201\/(-15) - -13 - (-1)\/((-5)\/(-42)). Let z(c) = 29*c**2 - 7. Calculate l*z(g) + 5*v(g).\nAnswer: 17*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5 + 14 = 0, 5*t - 664 = -3*k. Suppose 85*f = -4*f + 20*f - 5934. Let c = t + f. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 908603, 908568, 908535, 908504?\n\"Answer: r**2 - 38*r + 908640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 34*y**5\/5 - 16*y**3 + 26. What is the third derivative of s(i) wrt i?\nAnswer: 816*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 35, 47, 63, 83?\n\"Answer: 2*o**2 + 6*o + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 175362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**5 - 4 + 4 + (31*u**3 - 6*u**4 - 31*u**3)*(-2*u + 0*u + 0*u) + 97*u**2 - 97*u**2 - 7*u**5.\nAnswer: 7*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (86 - 86 + 10*i)*(-1 - 3*i + 1) - i**2 - 3*i**2 + 0*i**2.\nAnswer: -34*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8068 + 16925. Let q be 10\/8*(-283254)\/(-40). Let o = s - q. Calculate the common denominator of o and -81\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/7 - (-12)\/(-42). Let x(y) = -y + j + 2*y + 2*y - 2*y + y**2. Calculate x(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7971758 * 0.2\nAnswer: 1594351.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (7 + 2 - (12 - 6)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 11. Let i(p) = -p - 9. What is the remainder when g is divided by i(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1079 and 747?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7641, 7368, 6915, 6282, 5469, 4476, 3303?\n\"Answer: -90*i**2 - 3*i + 7734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 25*j + 3. Calculate the remainder when k(2) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 (base 13) in base 10?\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -293 + 69. What is the remainder when y is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 7*q + 28. Suppose -119*i - 32 = 87. Let o(r) = r**2 - r + 1. Let n(m) = -2*m**2 + 2*m - 6. Calculate i*n(z) + q*o(z).\nAnswer: -2*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**5 - 5 + 5)*(-1107 - 901 - 9940 - 5211).\nAnswer: -17159*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by -6868.\nAnswer: -7\/3434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**4*i**(1\/6)*i**(-6\/11)\/(i\/((i\/(i*(i*i**5)\/i))\/i*i*i)) assuming i is positive.\nAnswer: i**(-553\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 96504530663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 8:22 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4140182 + 3?\nAnswer: 4140185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 14202625 (base 7) to base 15\nAnswer: 1b3a87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7, -110, -395, -952, -1871, -3242?\n\"Answer: -15*i**3 - i**2 + 5*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 3305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, p: 2, f: 1, r: 1, x: 1}. Give prob of picking 1 x and 1 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59707*v**5 - 800*v**2 + 28 wrt v.\nAnswer: -3582420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + g = -12. Suppose q + 6 = 3*q - 2*t, -4*t = q + 17. What is the biggest value in g, q, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 3, 0 in decreasing order.\nAnswer: 3, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x**3 - 18*x**3 + 3*x**3.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 927427?\nAnswer: 31, 29917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2358 a factor of 1409376600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34621857 is divided by 105.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*k - 4*p - 39, 2*p = -219*k + 218*k - 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2097 divided by 22150?\nAnswer: 2097\/22150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - c - 1. Let g(s) be the first derivative of 10*s**3\/3 + 7*s**2\/2 + 7*s + 60. Let x(m) = -3*g(m) - 21*y(m). Let h(q) = -3*q**2. Give h(x(b)).\nAnswer: -243*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 3898370.71 to the nearest one hundred thousand.\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1632 and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 + 74*c**2 + 646*c - 722.\nAnswer: 2*(c - 1)*(c + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1598 - -1113. Which is greater: q or -484?\nAnswer: -484","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = 3*x - 0*x + 3*a, -2*a = -4*x - 284. Let b be ((-5)\/x)\/(10\/296). Let o = b - 1382\/455. Is -2 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 18. Let x be 16\/n + (-2)\/(-2). Let v(j) = 3*j - 1. Let y be v(7). Solve -y = z - x*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 - -1. Let x = -11 - -9. What is the nearest to v in 0.4, x, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 - 5068*b**2 - 7947725*b - 3969258386.\nAnswer: -(b + 1237)**2*(b + 2594)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*((-4932)\/27 + -9). Calculate the highest common factor of 75 and q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 502276898 to the nearest integer?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 5*h + 33. Let u be b(8). Let k = 199 + u. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2))**50 assuming d is positive.\nAnswer: d**(-100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 - 230 - 325 = -159*u - 156*u. Factor 4\/5*o**3 - 16\/5*o**u - 36\/5*o + 2\/5*o**4 - 18\/5.\nAnswer: 2*(o - 3)*(o + 1)**2*(o + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -25*o + 193. What is the remainder when 89 is divided by a(7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/36300 and -59\/5280?\nAnswer: 290400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*u. Let d(a) = u*a + a + a. Let i(v) be the third derivative of -v**5\/60 - v**4\/8 - 629*v**2. Determine 3*d(y) + 2*i(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 162, 164, 180, 216, 278, 372, 504?\n\"Answer: w**3 + w**2 - 8*w + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + y + 49 = 0, 2*m + 9 = 5*y + 20. Suppose -5*n - 77 = -w + m, -4*w - 38 = 2*n. Let q = -54 - n. Which is bigger: -34 or q?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h = -99*h - 367 - 53 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j - 4*j + 3*j)*(-4 + 6 + 1) + 2*j - 2 + 3 - 4*j to the form l*j + q and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a tonne in kilograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven halves of a century?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.26? (a) -5\/2 (b) -5 (c) -6556 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of c**4\/2 - 9*c**3 + 7*c**2 - 9*c + 383. Calculate r(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 833*l + 972 + 10690 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8605501mm to kilometers.\nAnswer: 0.0000008605501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1257491 is divided by 133.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 4*r + 17*r)*(3*r**4 + r**4 - 5*r**4 + (0*r**4 - 2*r**4 + 5*r**4)*(4 + 1 - 1)).\nAnswer: 176*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 327.079108 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 4 = 3*j, 4*j - 109 - 65 = -136*y - 73*y + 214 + 34 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 7 = 1. Suppose -88 = c*x - 8*x. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c**2 - 18*c - 3. Let k be q(-4). Let m = 1792 + -1787. Solve m*r - 25 = -b, r = k*b - 2*b + 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/5 + -1)\/(15\/(-50)). Solve -i = 3*u - 3*w + 8, -3*u + w = 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5161893011.78 plus 30.39?\nAnswer: -5161892981.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -55 and -41108.\nAnswer: 2260940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -6*h**2 + 6*h**2 - 3*h**2 + 42. Let n(f) = -f. Give z(n(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 9:06 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-five halves of a millimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.4746432 - 12.5253478. Let o = b + 16. What is o rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 0.02, 0.03, 0.24?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 363523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 140*h**2 + 119*h + 119. Let n(o) = 7*o**2 + 6*o + 6. Let t(d) = 6*g(d) - 119*n(d). Let x(k) = -k**2. Determine t(x(s)).\nAnswer: 7*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 w when two letters picked without replacement from slssslssqllslljlwlws?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 444, 3, -3, 1 in decreasing order.\nAnswer: 444, 3, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 5:49 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 833, 3367, 7593, 13511, 21121?\nAnswer: 30423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/700997 or -1?\nAnswer: 4\/700997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/43 or 1?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87019.34 millennia to centuries.\nAnswer: 870193.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -13, 2\/11 in decreasing order.\nAnswer: 2\/11, -13, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -92.8\nAnswer: 18.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9070.352us to seconds.\nAnswer: 0.009070352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 25*q**2 + 10*q + 122. Give m(18).\nAnswer: -1966","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -2*o - 1\/20*o**5 - 2 + 0*o**3 + 0*o**2 - 1\/6*o**4. Let y(t) be the first derivative of d(t). Factor y(h).\nAnswer: -h**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4031\/110 + 183\/5. Find the common denominator of q and 57\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -167322116.5 to the nearest 1000000.\nAnswer: -167000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -254*p + 141 wrt p?\nAnswer: -254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -162 - -162.357. Let i = x + -0.347. What is i rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/17616 and -8\/3303.\nAnswer: 52848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -285 + 975. Let p = 3 - -3. Suppose -4*m + 2*s = -g, p*m = 8*m + 3*s - 365. What are the prime factors of m?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.5 - -0.1. Let p = q - -1.3994. What is p rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*b + 80. Let c be 3*(b\/(-6))\/5. Solve 5*j - c*d = d + 11, -j - 7 = 4*d for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**3 + 10925*z - z**3 - 10925*z.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 396.92429 + -397.46. What is n rounded to 3 dps?\nAnswer: -0.536","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -5, 4, -8, 272, 1 in increasing order.\nAnswer: -8, -5, 1, 4, 25, 272","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 813580\/1442532 - (-2)\/12. Let q = 1\/9247 + x. Let o = q - 3\/13. Which is the nearest to o? (a) 1\/8 (b) 3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + 2*r**3 - 4*r**3)*((1 - r - 1)*(-2*r + 2*r + 3*r) - 4 + 4 + 7*r**2).\nAnswer: -4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s**2 + 104*s + 4. Let g be b(-26). Solve 0 = -5*m - 4*z + 2, -4*m - g*z + 3 = -1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - r**2 - 3*r - 2. Let t be c(-2). Let x = 25 - 20. Suppose 0 = x*q + 2*w, 0 = q - 2*w - w - 17. What is the greatest common factor of q and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in sixty-three eighths of a week?\nAnswer: 1323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5418 + 4.2612. Let x = b + -0.003. What is x rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 + 4. Let f(b) = b - 16. Let m be f(12). Let a(r) = -3*r**2 - r - 4. Let n(l) = m*h(l) - 3*a(l). Let d be n(-5). Solve z = -z + d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011101 + 11100000001010001?\nAnswer: 11011111111110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29.96133 litres?\nAnswer: 29961.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 408 and 22185.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.9 + 5.52. Let s = 0.38 + i. Let c = -3 - -9. Is s equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19350700*y - 19350700*y + 14*y**2 - 18*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5586 - -5584. Put -14, 1, 4, i in increasing order.\nAnswer: -14, i, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -554*o - 145*o**3 + 25 + 34*o + 590*o**2 - 28*o + 15 - 72*o = 0.\nAnswer: 2\/29, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5*(sqrt(1539) - (sqrt(1539) + 2) - sqrt(1539)))**2 + -5 + 4.\nAnswer: 900*sqrt(19) + 38576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1222222 (base 3) in base 2?\nAnswer: -10110110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -1. Let z = -231\/2 - -3923\/34. What is the closest to -1\/3 in -5, z, g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 223*g**2 - 3 - 31*g**2.\nAnswer: 192*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -3. Suppose o*j = -3 - 2, 5*n + 5*j - 110 = 0. What are the prime factors of n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/36*51*(-36)\/(-27).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -90750, 3, -5 in increasing order.\nAnswer: -90750, -5, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 1. Let q be n - 12\/(0 + -4). Suppose -4*f + q*f = 0. Which is bigger: f or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1380.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 7 - 2)\/(-1*1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -29262 from 629.\nAnswer: 29891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 67.992605 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0151537 rounded to four decimal places?\nAnswer: -0.0152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**3\/9 + 28*a**2\/3 - 278*a\/3 - 920\/9 = 0.\nAnswer: -1, 20, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/5))**(2\/71)\/(a\/(a**(-1)*a*a*a)*((a*a*a**(-1\/8)*a)\/a*a)\/a) assuming a is positive.\nAnswer: a**(-2437\/2840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7710 and 1734.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5*5 + 7 + 7 + -10 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4*q + 4, 3*k + 17*q = 18*q + 9. What is the greatest common divisor of k and 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5189 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, b: 1, v: 1}. What is prob of sequence vb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ebcebccb. What is prob of sequence bbb?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 6*m**2 + 21*m + 6. Let i be l(11). Let r = i + 368. Solve -20 = -4*d - 5*w, w = 2*d - r*w - 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 0 - 2\/15*i**5 + 0*i**4 + 8*i**2 + 0*i + 0*i**6 + 2\/105*i**7 + 2\/3*i**3. Let o(c) = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t + 6 + 43. Suppose -9*o + 20 = -t*o. Calculate the remainder when 16 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 - 13. Let f(d) = -d**2 + 3*d - 4. Let i be f(g). Let u = 187 + i. What are the prime factors of u?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a + 2*a + 0*a + (-3 + 0 + 1)*(-4 + 4 - 4*a) + (9 + 48 - 19)*(-88*a - 89*a + 160*a) to u*a + b and give u.\nAnswer: -637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 456?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/(-117) - (-126)\/(-26). Let t = m - -11. Solve 2*d + 0*d = t for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + t - 373 = -3*d, -2*d + 5*t + 266 = 0. Suppose -d = -2*y + 181. Suppose 3*q - 5*w - 98 = 0, -3*w + y = 8*q - 3*q. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19077.\nAnswer: 3, 6359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -329*c**2 + 30*c - 178. Let s(u) = -165*u**2 + 14*u - 85. Give -7*g(r) + 15*s(r).\nAnswer: -172*r**2 - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 275.89 less than -61?\nAnswer: -336.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 13899241?\nAnswer: -13899245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 - 10056.\nAnswer: -10057.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -57\/25636 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3578767 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6 - -1. Let q = r + -0.7. Let t = -1591\/9 + 177. What is the third biggest value in q, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2475013.\nAnswer: 17, 145589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37388099 > 224328587\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 654368 and 676.\nAnswer: 654368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 2*f - 2210382, -3683996 = -5*n - 40*f + 39*f. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 3*x = 11*r - 34, 4*r - x = 30. Solve -12*n - r = 29 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -260603 (base 8) to base 5\nAnswer: -10343444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1576, 2101, 2618, 3121, 3604, 4061, 4486?\nAnswer: 4873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3273 + 3273 - 6*h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2 + sqrt(1300) + -2 + -2 + sqrt(1300))**2.\nAnswer: -80*sqrt(13) + 5208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -566 (base 9) in base 13?\nAnswer: -29a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2. Let h(f) = 293789*f - 5. Give h(y(b)).\nAnswer: -587578*b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 0 - (-6 - (-5 + 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*d - 2 + 2)*(4*d**2 - 4*d**2 + d**3) + 3*d - 3*d - d**4 + (0*d**2 + 2*d**2 + 0*d**2)*(0*d**2 - 3*d**2 + 5*d**2).\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3760675109 to the nearest integer?\nAnswer: 61324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 64711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3576, 3964, 4304, 4596, 4840?\nAnswer: 5036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69, 2, 258, -1 in descending order.\nAnswer: 258, 69, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssuswwuscc. Give prob of sequence uu.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 27*x + 5*x**2 - 8 + 10*x**2 - 16*x**2 as b*x + r*x**2 + f and give b.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 + 104594*f - 3971684.\nAnswer: -2*(f - 52259)*(f - 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 18*h**2 + 17*h. Let m be c(-17). Suppose m = -5*z + 3*a + 153, -z + 6*z - 4*a - 154 = 0. Calculate the remainder when z is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d + 2*d**4)*((2*d + 0*d + 0*d)*(2 + 1 - 5) + 32*d - 49 + 29*d - 62*d).\nAnswer: -10*d**5 - 98*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 373248 and 106434?\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 666 = -602. Let k(a) = -a**2 - 11*a - 12. Give k(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - d**2 + 15*d - 5. Give m(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11\/((-22)\/(-76))*(-1 - 4). Let z be ((-152)\/w)\/(2\/10). Solve -f = 4*x - 11, 2*x - z*x + 7 = -f for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - -18 - (68 - 22520) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2 + sqrt(1331) + 3 + 5*-1*sqrt(1331))**2.\nAnswer: -704*sqrt(11) + 21360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1955 is divided by 1030?\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1263 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 77 - 81. Is 20 a factor of b\/(-46) + ((-71736)\/92)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13.26 or 1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 661106782 to the power of 1\/2, to the nearest integer?\nAnswer: 25712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c**3 - 10*c. Let j(s) = -4*s**3 + 9*s. Calculate -2*j(n) - 3*w(n).\nAnswer: -n**3 + 12*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*n = -33. What is the second derivative of -n*k**5 - 27*k + 11*k + 8*k wrt k?\nAnswer: -220*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5661 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-1020)\/136)\/((-3)\/2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20 - (-2595)\/30)*-334. Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + 36 + (2 - 0 - 14)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11112212221 (base 4) in base 8?\nAnswer: 5264651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -19*d - 623. Let f be u(-33). Let n(t) be the first derivative of 0*t**2 + 0*t**3 + 5\/4*t**f - 15 - 4*t. Differentiate n(w) with respect to w.\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/47)*m)\/(m\/(m\/(m*m**(-2\/5)*m))) assuming m is positive.\nAnswer: m**(104\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 336.1 >= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2948 - 4396. Let o = -459 - a. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 + 0.3. Let d = -2.04 - -2. Let n = -0.04 - d. Which is the closest to 0? (a) q (b) 0.5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1152\/(-864))\/((-16)\/18)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0032368 to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 7:44 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*n = -176*n + 1209 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -14\/15, -4, 5?\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 3*p**2 + 2. Let g be (-1)\/(-3) - (-15)\/9. Let n be (g\/(-6))\/((-2)\/12). Let d be c(n). Does d = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 4*h - 3. Let p be o(5). Suppose -2*m = -j + 8, 4*j = -3*m + 13 - 3. Is j not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 432\/72*4\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1350\/810 + 8\/(-7))\/1 and -62\/1041.\nAnswer: 7287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76900260 rounded to the nearest one million?\nAnswer: 77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.788565 rounded to 2 decimal places?\nAnswer: 0.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.4 (b) 3696619 (c) 0.5 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 3*m - 40, 3*p - 5*m = -p + 102. What are the prime factors of p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2457964?\nAnswer: 2, 23, 26717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 306701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 323.56 weeks in microseconds?\nAnswer: 195689088000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 11*v + 30. Let h(d) = -5*d - 15. Let b(a) = -9*h(a) - 4*n(a). What is the remainder when 65 is divided by b(8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -23. Let l = -0.01 - 1.99. Let u = 2.3 + l. Which is the smallest value? (a) u (b) i (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653 a factor of 12923523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.81 times 0.3?\nAnswer: 1.743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*b**2*d - 54*b**2*n**3 - 19*b**2*n - 147*b*d*n**3 with respect to d.\nAnswer: 19*b**2 - 147*b*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, x: 3, n: 2, m: 4, i: 1}. Give prob of picking 1 n and 1 m.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -49, -101, -153?\n\"Answer: -52*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30.6 - 28. Let m = -3.6 + r. What is the closest to 2 in m, -2\/21, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5729 + -3405. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 488 - 290. Suppose 5*x - r - s = 0, 0 = -2*x - 2*r + 89 - 17. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4 = 12. Suppose 0 = k*a - 11*a - 180. Calculate the highest common divisor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -17. Let k(r) = -r**2 - 3 + 3 - 3*r - 5. Let q(j) = 2*j + 4. Determine t*k(v) - 3*q(v).\nAnswer: 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79 and 3884509.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -42, -165, -430, -891, -1602, -2617?\n\"Answer: -9*p**3 - 17*p**2 - 9*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5584173445658 take away 0.23?\nAnswer: 5584173445657.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1383 is divided by 171?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) - sqrt(2160))\/sqrt(5))\/(sqrt(4) - (sqrt(4) - (sqrt(4)*3*-2 + sqrt(4))) - sqrt(4)) + -2.\nAnswer: -2 + 5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 1767?\nAnswer: -1767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10\/2*(-31 - -354)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1\/3 (b) 3 (c) 96.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 3)*(2 + 0 - 1)*(-174*n + 92*n + 441*n)*(0 - 3 + 2)*(4 - 4 + 2*n).\nAnswer: 2154*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/31)\/c)\/c*c**(-18))\/(c**0*c\/(c*c\/(c*c*c\/c**(5\/3)))) assuming c is positive.\nAnswer: c**(-1885\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*y**2 - 588*y**2 + 201*y**2 + 201*y**2 - 12525*y**3.\nAnswer: -12525*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53.3*-0.7175.\nAnswer: 38.24275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*r - 2*r**2 - 254*r + 129*r.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 2*s - 11 = -6*s, a - 5 = -s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2103.14 * 0.51\nAnswer: 1072.6014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/4081 and 28\/8745.\nAnswer: 61215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 986880?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 9050?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 614578121 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28720805 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z. Let h(d) = -53*d**2 + 9327. What is p(h(a))?\nAnswer: -106*a**2 + 18654","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 507718354.\nAnswer: 2, 11, 13, 571, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 355051\/154 + -6917\/3. Let h = g + -2\/77. Let o = -0.4 - -3.4. Which is the nearest to -1? (a) -3\/8 (b) o (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 36.67968ml?\nAnswer: 0.03667968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13824 and 120.\nAnswer: 69120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o - 5*o + 4*o. Let b(p) be the third derivative of -p**5\/30 + 10*p**2. Give g(b(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -572, -532, -466, -374?\n\"Answer: 13*j**2 + j - 586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**7)**(1\/15)*f**(-13)\/(f*f\/(f\/(f\/(f*f\/f**(-3\/8))*f*f*f))))**(-25) assuming f is positive.\nAnswer: f**(9095\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4933 is divided by 56?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -752914310 times -4\nAnswer: 3011657240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (sqrt(77) - sqrt(77)*4)*-6 - sqrt(77))\/((sqrt(77)*1)\/sqrt(11)).\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - j + 26150 = -3*j, -2*n + 10460 = -5*j. Let p(d) = 3*d + 5230 - n. Let o(x) = 12*x. Give p(o(z)).\nAnswer: 36*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (40\/(-80))\/(1\/(-8)). Let i be (28\/35*5)\/z. Solve 17 = -4*t + i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 3*y**6\/2 + 23*y**2 + 54*y - 2. What is the derivative of x(p) wrt p?\nAnswer: 180*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40763 to the power of 1\/2, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = y + 4. Let f = 0.5445 + -0.1445. What is the third biggest value in -2, y, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 25, 0*b + 4*a = -4*b - 48. Let u(k) = k**3 + 6*k**2 - 6*k + 10. Let m be u(b). Solve 0*i = -i + m for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -169 - -844\/5. Let s = 43103.991 - 43086. Let h = 0.009 + s. What is the nearest to 1 in g, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23885205 and 6520.\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 29*x**2 - 6*x - 65. What is the tens digit of m(-29)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 27477665, 54955332, 82432999?\n\"Answer: 27477667*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/168)\/((4\/(-24))\/(21\/9))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/((sqrt(84) - (sqrt(84)*-2 - sqrt(84)))\/sqrt(12)))**2.\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2716897031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/1175376 and 49\/1739.\nAnswer: 43488912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3336738 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1596 and 1824?\nAnswer: 12768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -3. Let z be (-9)\/(-12)*(q - -2). Solve 2 = w - z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ootf when four letters picked without replacement from lotfltflftoll?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 140 = 3*c. Let z(g) = -33*g - 3 + c*g + 9. What is the units digit of z(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30549247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -349*q**4\/3 - 1920*q**2 - 6389*q. Differentiate r(y) with respect to y.\nAnswer: -2792*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1217\/9 - 135. Let g = 1.2 + -1.14. Let z = g + 0.14. What is the closest to 1\/3 in x, -0.3, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cv when two letters picked without replacement from {q: 6, n: 2, c: 1, v: 4, a: 4}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.152*-121\nAnswer: -18.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/33 - (-3)\/((-54)\/(-12)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -4752384.\nAnswer: -1\/594048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -32, -52, -76, -104?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g + 9. Let x be q(4). Suppose 9 = -4*i + x*i. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -123. Let i = -117 + 147. What is the remainder when j is divided by i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58 + 60. Suppose 130 = 5*f - v*h - 33, -2*f + 78 = -4*h. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**4\/3 - 4016668*p**3\/3 + 672232903702*p**2 + 4033409472224*p\/3 + 2016706744448\/3 = 0.\nAnswer: -1, 1004168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -70\/3807 and -70\/2133?\nAnswer: 300753","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - s - 5*p, 0 = 5*p. Suppose s = 2*v + 2*v. Suppose -4 = x - 1. Which is the second smallest value? (a) v (b) -1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -4*b**5\/3 + 148*b**4\/3 - 100*b**3\/3 - 22724*b**2\/3 - 113800*b\/3 - 140000\/3 = 0.\nAnswer: -7, -4, -2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 12*w - 37. Calculate u(14).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.4 - -3.3. Let m = 0.8 - d. Which is the second biggest value? (a) 2\/7 (b) m (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 divided by -55.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 130194\/71 or 6\/17?\nAnswer: 130194\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -7. Suppose -g + p + p - 8 = 0, -p + 4 = 2*g. Let t be 8 + (g - -3) + -5. Is j > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q. Let p be (-23)\/(-2) + (-4)\/(-8). Let j(b) = -201 + 201 - p*b. Calculate n(j(r)).\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s - s**2 - 3*s + 2*s - 2*s**3 to the form z*s**2 + o + k*s**3 + j*s and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from esse. What is prob of picking 2 e and 1 s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/11 - 8*r - 918\/11.\nAnswer: -2*(r + 17)*(r + 27)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence du when two letters picked without replacement from {a: 1, d: 1, b: 1, v: 1, u: 6, h: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28*(-9)\/(-36) - -3. Let y(n) be the first derivative of 1\/3*n**3 + 11\/4*n**4 + 0*n + 0*n**2 - s. Give y(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+758628256.725\nAnswer: 758628257.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 11*d**2 - 89*d. Let j(q) = 4*q**2 - 31*q. Let v(n) = -6*i(n) + 17*j(n). Let u(t) = 2*t. What is v(u(c))?\nAnswer: 8*c**2 + 14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -46235\nAnswer: -1\/9247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -12*q + 13. Let b be x(3). Let z = 26 + b. Let v(u) be the third derivative of -u**5\/60 + u**4\/12 - 2*u**3\/3 - u**2. Calculate v(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3907813767 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84*d**2 + 84*d**2 + 37*d**3)*(-30 + 15 - d + 13).\nAnswer: -37*d**4 - 74*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-8) + -1 + 22\/4. Solve 0 = -b + 3*a - 11, f*a - 1 = -b + 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/10)*k*k*k*k\/(k**3*k*k))**(-8) assuming k is positive.\nAnswer: k**(44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*g**2 - g**4 - 7*g**6 + 11*g**6 - 24*g**6 wrt g.\nAnswer: -2400*g**3 - 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zizzzeztkzeiezkei. What is prob of picking 1 k and 1 z?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4\/9, -0.9, 0.13, -1, 1, -371?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**4\/7 + 34*l**3 + 1048*l**2\/7 - 7872*l\/7 = 0. Calculate l.\nAnswer: -8, 0, 4, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 774.82897 - -9.62903. Let o = z + -786. What is o rounded to two dps?\nAnswer: -1.54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -445*z + 429*z - 80 + 64*z**2 - 244.\nAnswer: 64*z**2 - 16*z - 324","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 263 and 76007?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24\/(-10))\/((-5)\/((-250)\/(-15))). Let g(b) = -2 - z + 4*b + 1 - 1. What is the remainder when g(6) is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59 - -58. Suppose -4*h - 4*t = -124, 0*t + 103 = 3*h - 2*t. Suppose -h*g + 28*g + 20 = 0. Put -2, x, g in ascending order.\nAnswer: -2, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 5, 3, 4, -1 in descending order.\nAnswer: 16, 5, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + -30 + -3 + 1 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 f when two letters picked without replacement from {a: 2, n: 4, f: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 1147*n**3 + 12*n**2 + 20*n - 11. Let y(k) = -860*k**3 - 9*k**2 - 15*k + 8. What is 8*j(u) + 11*y(u)?\nAnswer: -284*u**3 - 3*u**2 - 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + 3*g**2 + 0*g**2)*(-2*g**2 - 4*g**2 + 2*g**2 - 2*g**2 - 6*g**2 + 9*g**2 + (-3*g + 6*g - g)*(7*g - 3 + 3) + (0 + 0 - g)*(3*g + g - 2*g)).\nAnswer: 18*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -3*l**7\/980 + l**6\/420 + l**5\/210 + l**3\/6 - 4*l. Let q(z) be the second derivative of i(z). Factor q(r).\nAnswer: -2*r*(3*r - 2)*(3*r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 293849142, 293849140, 293849136, 293849130, 293849122, 293849112, 293849100?\nAnswer: 293849086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-60)*(-40)\/(-16)*5\/140?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 2*b + 6, -b = -11*h + 16*h + 14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2. Let h(m) = -2*m + 30 + 4 - 12. Determine c(h(u)).\nAnswer: 8*u**2 - 176*u + 968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2838 - -2839. Which is the closest to 0.2? (a) -1 (b) 2.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - n + 14. Let g be l(-4). Solve 0 = 4*f - g*f - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 14*w**2 - 14*w - 8. Let y be u(-13). Suppose -y*d = 2*j - 95, -d = 2*j - 0*j - 99. What is the highest common factor of j and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*b + 2*b - 4*g, 0 = -3*b + 4*g - 3. Let s be (-1)\/b - (-810)\/(-42). Let c = 58\/3 + s. What is the closest to -2\/7 in c, 3, 2\/15?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 13, -3\/7, 3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 122, 5857\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/42)\/((-1)\/(-14))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**3*i\/(i*i\/(i\/(i**10*i)*i)*i)*i)\/(i*i\/(i*i**(8\/5)*i)*i*i*i**(10\/7)))**17 assuming i is positive.\nAnswer: i**(-5253\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503 is divided by 216?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 504 and 693.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 1 - 3 + 0*f - f. Let l be h(-2). Suppose 12*z + 12 = 9*z. Put l, z, -3 in descending order.\nAnswer: l, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/308152?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 2 + 1 + 1. Differentiate -4 + 1 - t**4 + a + 0*t**4 with respect to t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 837 - 837. What is the nearest to 0.1 in r, -48, -3\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4468127 divided by 10319?\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 3*q**5\/4 - 117*q**4\/4 + 177*q**3\/4 + 1653*q**2\/4 + 126*q - 555 = 0.\nAnswer: -2, 1, 5, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*q - 5*n, 14 + 5 = 4*q + n. Suppose -q = -6*v + 24. Suppose 10 - 5 = v*j. Solve 0 = -4*w + 11 + j for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 0*a**2 + 0*a**2)*(411 + 394 - 821)*(4 - 2 + 0)*(5 - 5 - 1)*(2 + 0 - 6).\nAnswer: -128*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-16))\/((-2)\/(-24)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 10 = 5*k. Let g be (-4)\/(-6) - k\/(-21). Let b be 12\/(-4) + g + 2. Solve b*p + w = p + 5, p + w - 3 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -19*u**2 + 49*u**2 - 22*u**2. Let r(z) = 5*z - 5. Let d(s) = 2*s - 3. Suppose -25*k = -27*k - 6. Let i(v) = k*r(v) + 5*d(v). Determine i(m(f)).\nAnswer: -40*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56460 is divided by 620?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 178, 686, 1524, 2698, 4214, 6078?\nAnswer: 8296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9090120574 from -56.\nAnswer: 9090120518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*a + 513*a - 4592 = 248*a for a.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14104 + 0?\nAnswer: 14104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.1535645 kilometers?\nAnswer: 153564500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(6*(-5 + (sqrt(700) - (3 + sqrt(700) + 1))) - (1 + sqrt(700) + -3 - sqrt(700)*2*1)))**2.\nAnswer: -16640*sqrt(7) + 54464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -917180*j*m**3 - 49*m**3 - 1249*m**2 wrt j?\nAnswer: -917180*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 23. Which is the smallest value? (a) h (b) 0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 51, 333, 1097, 2577, 5007?\n\"Answer: 39*l**3 + 7*l**2 - 12*l + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 3*k + 3*k)*(70 + 278 + 26)*(2 - 2 - 2).\nAnswer: -5236*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 26219201 to the power of 1\/2, to the nearest integer?\nAnswer: 5120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7106808km to micrometers.\nAnswer: 710680800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a**3\/3 - 3*a**2 - 6*a + 2. Let k be t(8). Let p(i) = -i**3 + 9*i**2 + 12*i + 11. List the prime factors of p(k).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + -1*sqrt(8))\/sqrt(4) + sqrt(162)*-2.\nAnswer: -18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13.349 from -275.\nAnswer: -261.651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/15 + 129\/5. Let c = -3 + a. What is the remainder when c is divided by 3\/9 - (-70)\/6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/sqrt(32) + 0 - (1 + sqrt(117))*-1.\nAnswer: 1 + 7*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -44 - 0?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1929696*y**3 - 921641*y**3 + 305337*y**3.\nAnswer: -2546000*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yllrlyrlyylyrry. Give prob of sequence yl.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 793635 or 793665?\nAnswer: 793635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*q - 42, 0 = -q + a + 4*a. Suppose 8*z - 47 = -q. What is z rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*z**3 - 178*z**3 + 22*z**3 - 14*z**3 - 77*z**3 - 105*z**3.\nAnswer: -567*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/(5\/30)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/7, 3\/5, 2\/13, -6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 127.1? (a) 5 (b) 2\/7 (c) 0.1 (d) 3\/17 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5148 and 260?\nAnswer: 25740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2857*x**2 + 6*x + 4794. Let g(c) = -8*c**2 - c + 5. Let y(t) = 6*g(t) + w(t). What is the first derivative of y(r) wrt r?\nAnswer: -5810*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**3 - 7*j**3 - 404*j**4 + 405*j**4 - 5*j + 8*j**2 in the form y*j**2 + u*j**3 + n + v*j + l*j**4 and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 3:44 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 178 = -98. Round z to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.82 to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 3*h + 2*s, -5*h + 2584*s - 2588*s + 30 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**4 - 928*y**3 + 4678*y**2 - 5628*y = 0. Calculate y.\nAnswer: -469, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -149273965\/46332 + 41884\/13. Calculate the common denominator of x and 1\/660.\nAnswer: 17820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 5. What is the first derivative of -5*q**3 + l*q**3 - 2 + q**3 - 3*q**3 wrt q?\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 425 + -412. What is the remainder when 51 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, i: 2}. Give prob of picking 1 i and 3 f.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 53143, 53067, 52991, 52915?\n\"Answer: -76*g + 53219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 126 - 1 - 4\/(-2). Is 2\/((-4)\/r)*(-2 + 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 133\/57 + (-2)\/6. Suppose -o*a + 3*a = 133. What is the highest common divisor of a and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3, 11, 39, 87, 161, 267, 411, 599?\n\"Answer: o**3 + o**2 + 4*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thpuvuhtpathphvhttt. What is prob of sequence hv?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4781 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(1\/4)\/h)**20*(h**8\/h)\/(h*h*h**5*h*h*h*h))**(-35))**(-31) assuming h is positive.\nAnswer: h**(-20615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 5*t - 6. Let s be g(-3). Which is the fourth smallest value? (a) 2\/7 (b) -1.7 (c) s (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/7619876 and -63\/14696.\nAnswer: 15239752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 11*t + 2. Let b(q) be the first derivative of q**3 - 51. What is j(b(g))?\nAnswer: 33*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhh. What is prob of sequence hh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 - 22. Suppose 6 = p - 3*p + 5*s, 4*p + 4*s - n = 0. Find the first derivative of 6*k**2 + 1 + 2*k**2 - p - 4 wrt k.\nAnswer: 16*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1267 and -28.131.\nAnswer: -35641.977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 2*i - 14 = 2, l - 3*i = -8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 + 4*n**2 - 9*n**2)*(4*n - 3*n - 2*n) - 5*n**3 + 6*n**3 + 0*n**3 + (3 - 2*n - 2*n**2 - 3)*(-2*n - n + n).\nAnswer: 9*n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/31, 0.2, -9 in ascending order.\nAnswer: -9, 1\/31, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) -5 (c) 0.07 (d) -903 (e) -160\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*b - 65 = 0, -24*r + 3*b = -21*r - 45. Let d = 174 - r. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -7*r**2 - 34*r + 4. Let y be q(-5). Let u(p) = 1. Let a(t) = -t**2 - 1. Calculate y*u(h) + 2*a(h).\nAnswer: -2*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 40 + 4. Let k = c + -6. Calculate the remainder when 4\/(-14) - 300\/(-21) is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4283111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91040 + 94715 = -105*x for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c\/c**(-5))\/c)\/c*c*c**5*c**(1\/9)*c**(2\/35)\/c assuming c is positive.\nAnswer: c**(3518\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/3 + 68\/3*t**2 - 56\/3*t - 6*t**3.\nAnswer: -2*(t - 2)**2*(9*t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/68 or -0.0117?\nAnswer: -0.0117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 2, -17, -25 in increasing order.\nAnswer: -25, -17, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 4*q + 37. Determine f(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + z. Let y be c(-2). Let f = 61\/60 + -7\/20. Which is smaller: f or y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -4. Suppose -4*v = 5*b - 32, -4*v = -9*v - b + 19. Suppose -j = 1 - v. Solve 0 = j*k + x + 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-5))\/3 + 18\/15*(-46992)\/(-792).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a factor of 679939769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 185*f**4 + 155278*f**3 + 146065037*f wrt f.\nAnswer: 2220*f**2 + 931668*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 37 = 48. Let a(r) = -3*r + 2. Calculate the remainder when a(x) is divided by (3\/(-2))\/(2\/(-36)).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1204, 2405, 3604, 4801, 5996?\n\"Answer: -f**2 + 1204*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1789, 3549, 5255, 6907?\n\"Answer: -27*x**2 + 1841*x - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19367.5338 rounded to the nearest 10?\nAnswer: -19370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.082 (b) 3 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191583.\nAnswer: 3, 7, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23134234?\nAnswer: 2, 11567117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4968 and 12?\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1093\/7 + 153. Find the common denominator of a and -73\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 + 159. What is the remainder when 339 is divided by v?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= 219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-5))\/((-6)\/15). Determine l so that 10*l**3 - 2*l**3 + 14*l**4 - 4*l**2 + v*l**3 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7411736813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2)\/y)\/y)**25\/((y\/((y*y*y\/(y\/(y*y\/((y*y**7*y)\/y))))\/y))\/y*y*y**(-1\/4)) assuming y is positive.\nAnswer: y**(-423\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -2*w**2 + 1\/4*w**4 + 5\/2*w**3 + 0 + 8*w. Is t(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003344489 to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (375\/(-425) - -2) + (-15)\/(-17) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18 - (3*-4)\/(-3). Let v = m + -12. Let o be (-45)\/(-10)*v + 1. What is the highest common factor of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*d + 526 - 491 = -865 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/334 and (23 + (-14808)\/576)*4\/10.\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - 3\/(-55)*194. Let z = m - 52\/5. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212046051.\nAnswer: 3, 7, 2467, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 34, 69, 40, -113, -450, -1031, -1916?\n\"Answer: -10*y**3 + 28*y**2 + 21*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15645383?\nAnswer: 13, 191, 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 396\/(-154)*((-7)\/27)\/(417\/(-3753)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-32)\/(-15) + (-1 - 1). Let y = 2 + -7. What is the smallest value in h, y, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141603, -141605, -141609, -141615, -141623, -141633, -141645?\nAnswer: -141659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/4 - (-636)\/(-720). What is the closest to -0.13 in o, -0.5, 2\/15?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2*(-9 + -1). Suppose -s*u - 8 - 2 = 0. Sort u, 5, 11 in descending order.\nAnswer: 11, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6728341 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*b**4*v**2 + 369217*b**3*v**3 - 34*b**2*v**3 + 8*b**2*v**2 + 2158*b**2*v - 2*b + 2*v**3 wrt b.\nAnswer: -216*b*v**2 + 2215302*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*v + 25 = -3*v, -5*b - 3*v = 15. Suppose -o - 68 = -3*j, b = -3*j + 4*o + 35 + 48. Does 16 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3104385 (base 10) to base 7\nAnswer: -35246454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-10)*0\/((-8)\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12122001111112022 + 10?\nAnswer: -12122001111112012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*u**3 + 550160*u**2 + 116163584*u + 6254903296 = 0. Calculate u.\nAnswer: -5284, -544\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 6*x - 8. Suppose 0 = 4*t + 3*u + 6, 8 = -3*u + 2. Let z(c) = c**3 - c**2 + 2*c - 7. Let q be z(t). What is p(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -583*m + 24808 = -211*m + 514*m for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3162 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/5? (a) -54 (b) -5 (c) 1\/4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 248309.4 + -248309.34799986. Let p = f - 0.052. What is p rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26627 divided by 799\nAnswer: -26627\/799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z. Let u(d) be the first derivative of 0*d**2 + 0*d + 1\/3*d**3 + 10. Give u(c(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 6:29 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.6 + -6.8. Let m = -20 + 19.7. What is the second biggest value in m, -0.6, h, 1\/6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13966553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2654192 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.7 - -0.1. Let v = t - 0.8. Which is the closest to 2? (a) 0.2 (b) -0.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3088, 6430, 10022, 13864, 17956?\n\"Answer: 125*b**2 + 2967*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 1757*w**2 - 93*w + 1043. Is g(28) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44352798.\nAnswer: 2, 3, 7, 1056019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 11*c + 20. Let q(m) be the first derivative of 7*m**2\/2 + 13*m + 358. Calculate 8*q(l) - 5*r(l).\nAnswer: l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzkkkvvzzkzzkktyzzz. Give prob of sequence yk.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -4*p**3 + 52*p - 274 + 6 + 240*p - 44 + 48*p - 24*p**2 = 0.\nAnswer: -13, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3766361813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.2356 to the nearest integer.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 22*k + 15. What is the remainder when h(7) is divided by ((-4)\/5)\/(17\/((-9945)\/9))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 1. Let v be (0 + n + 1)\/(-1). Let d be -3*1 - (-58)\/18. Which is greater: v or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24862 + 12?\nAnswer: 24874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 1\/(-3) + (-64)\/(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*h - 3. Let s(q) = 21*q**3 - 21*q**2 + 5*q - 31. Let g(z) = 4*z**3 - 4*z**2 + z - 6. Let y(p) = h*s(p) + 11*g(p). Is y(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 228838 - 153179. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 1. Let c be w(1). Let q(t) = -9*t - 3. Let r(y) = -5*y - 1. Let j(p) = -4*q(p) + 10*r(p). Let g be j(c). What is g rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1931.4 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -229, -5, 5 in descending order.\nAnswer: 5, -1, -3, -5, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/99)\/(2844\/(-10428))?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0 = 15. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c - 16. List the prime factors of q(-7).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -218511234 and -0.2.\nAnswer: -218511234.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-4))\/(2 - 1). Let w = p + 6. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 times -0.67\nAnswer: 12.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 3 in ascending order.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 806*o + 54 = 812*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 361834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -5*j**5 - 31160*j**4 - 155675*j**3 = 0.\nAnswer: -6227, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 8:35 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 40*v - 24896. Determine s(139).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (-22)\/66 - (-2)\/6. Suppose m + l - 3 = 0. Suppose -6 = -m*v + v. Solve -1 = -t + 4*a - 5*a, -v = 3*t + a for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 4 = 0, -13*t + 8*t = -2*v - 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -135, -329, -503, -651, -767, -845, -879, -863?\n\"Answer: i**3 + 4*i**2 - 213*i + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110 + -1011111?\nAnswer: -1111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {b: 11, r: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18186 + 18579.55. Let k = 399 - o. What is k rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -32 - (0 + 0 + (23 - 30)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -32418.0295 to the nearest 100.\nAnswer: -32400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41978*q - 41975*q = 7*w - 2*w + 60, 0 = 6*q - 4*w - 30 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 + 1 - 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -146.6 + 147. Let k be 210\/(-51)*1 - -4. Which is the fourth biggest value? (a) p (b) k (c) -3\/5 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - 16. Suppose -6*r - 2000 = 19*r. Let u = j - r. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**3 - 480*m**2 - 35028*m + 5873584 = 0. Calculate m.\nAnswer: -278, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 357, 607, 857, 1107, 1357, 1607?\nAnswer: 1857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/7 - 4\/7*f**2 - 8\/7*f = 0. What is f?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1755001 centuries to months.\nAnswer: 210.60012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-102 - -100) + (0 - 6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from civvvbvebcvvb. What is prob of picking 1 i and 1 e?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88 - 176 - 774*g + 87 + (-4*g + g + g)*(3 - 3 - 1) - 1 + 2*g + 1)*(-1 + 4 - 2).\nAnswer: -770*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 2*r. Let h(c) = -3*c**2 - 7*c. Let q be (-5)\/(-1)*(2 - 3). Let x be (-16)\/2 + q + 6. Give x*v(i) - 2*h(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*t - 125*t - 190 = -285*t. Suppose 0 = m + m - 28. Calculate the greatest common factor of t and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (7 - (5 + 0)) - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 1, -123, 4, -59 in decreasing order.\nAnswer: 4, 3, 1, -5, -59, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 187*u**2 + 27*u + 27. What is the remainder when h(-1) is divided by 53?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*v = 3*v + 8172, 2*l = 2*v - 8166. What is the units digit of (15\/(-4))\/(-5) + l\/(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 11:50 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 + 40. Let g = 0.07 + 0.93. Is g <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (4 - -2) - 5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 72, 141, 210, 279?\n\"Answer: 69*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3837*a**3*s*w - 9*a**3*w**2 + 19*a**3 + 2*a**2*s + 2*a**2*w + 40*a*s*w**2 + 2*a*s - 338*a*w**2 - s*w wrt w.\nAnswer: -18*a**3 + 80*a*s - 676*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 293 - 265. What is the units digit of ((-2135)\/k)\/(3\/(-12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -590 + 15?\nAnswer: -578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 747941 and -1.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 3:18 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/1162 and -157\/38346?\nAnswer: 38346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2343150799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 665834 is divided by 627?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 385 - -2800d?\nAnswer: 28392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0 = -75. Calculate the lowest common multiple of (-9)\/(v\/10 + -4) and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c - 3*b - 13, -c + 1 + 18 = -5*b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 4)*(9*i**2 + 13 - 28*i**2 + 17*i**2)*(81 - 7*i - 162 + 83).\nAnswer: 14*i**3 - 4*i**2 - 91*i + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 3:48 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1078, 5847, 16552, 35449, 64794, 106843?\n\"Answer: 376*s**3 + 712*s**2 + s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 6. What is the second smallest value in s, 1\/4, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -6252.01134?\nAnswer: -6252.01134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1\/4))\/o**(-1\/3)*((o*o\/((o*o**(2\/11))\/o)*o*o)\/o)**(-1\/27) assuming o is positive.\nAnswer: o**(1757\/1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -265911 smaller than -265907?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1767670, 1767674, 1767692, 1767730, 1767794, 1767890?\n\"Answer: a**3 + a**2 - 6*a + 1767674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2816) + 2 + sqrt(2816) + 0 - sqrt(2816)) + (sqrt(2816) - -4*-2*sqrt(2816)))**2.\nAnswer: -384*sqrt(11) + 101380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millennium in months?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5*t + 40, 5*t + 0*f = 2*f + 40. Let z = 61 + -53. Does z = t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - -1) + 0 - 23832\/(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25157472 by 271.\nAnswer: -92832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3 = -3. Let x be p*(-2 - 0) - -2. Suppose 2*u + 0*u = -6. Sort 5, x, u in descending order.\nAnswer: 5, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxtxxx. Give prob of sequence xxt.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and -87300811.\nAnswer: -87300810.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 7) to base 3\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of 0 + 0*k**3 + 35*k**2 + 31\/15*k**5 + 3\/20*k**6 + 0*k**4 - 2*k. What is the third derivative of t(g) wrt g?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 288 - 289. Sort c, 2, -19, 0.2 in increasing order.\nAnswer: -19, c, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 20. Let v = 7 + 14. Suppose -5*d = 4*y + 52, -v - 18 = 3*d + 5*y. List the prime factors of k(d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 + 6*l - 17. What is r(6)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5125 + -2406. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9632 + -9659. Sort c, -5, 3, 33 in descending order.\nAnswer: 33, 3, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 247 - 149. What is the remainder when c is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 z when four letters picked without replacement from zszzzshsssshzhh?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1580068 (base 10) to base 15\nAnswer: 21327d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 323 - 26214 = -3*o, 4*o - 16 = 0. Suppose -724 = 9*x - d. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 8*q**2 + 6*q - 5. Let o be g(4). Let p(i) = i**3 + 30*i**2 + 26*i - 79. Let d be p(-29). Let j = o + d. List the prime factors of j.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/66 and -37\/36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -32 (b) 205 (c) -1 (d) -64\/63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1314 and 1095?\nAnswer: 6570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*h*x**2 - 3*h*x + 24*x**2 + 29*x wrt x?\nAnswer: 12*h + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -2\/19, -137?\nAnswer: -137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 17*s - 2. What is u(-3)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/12*-1*9. Suppose -7 + z = -i. What is the second derivative of -122*x**3 + i + 123*x**3 - 1 - 7*x wrt x?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 - 0.72. Let d = -5.7 - v. Suppose 0*q + 5*q + 5 = 0. What is the nearest to 0 in q, d, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*-13*504\/468?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253543 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 78*u**2 - 438*u - 4274. Give g(12).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.6 and -0.01.\nAnswer: 0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 6*o**2 - 2*o - 12. Calculate s(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 661*c**2 + 3939*c + 24. Let l = -22 + 55. Calculate the remainder when v(6) is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3661258?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68)\/(-2618))\/(4 - 228\/56).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 15 = -26*t - 27*t + 52*t, 29*t = -0*x + 3*x - 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12*2)\/(-4) - (-21)\/7. Calculate the remainder when (2622\/(-9) - -3)*(0 + q) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 277ae?\nAnswer: 277b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-2)\/15*54\/(-8). Is a at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*q + 4*f + f, 5*f + 1 = -2*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1263000\/12000 + -3 + ((-135)\/(-20) - 4).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6aa44 (base 13) to base 5.\nAnswer: -22220312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (1\/(-2))\/(28\/266).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -803 = 64*c - 227 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 930 and 961.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + (-1)\/(-19))*1. Let w(l) = -5*l - 11. Let c be w(-3). Let o be 2*(c - (-7)\/(-2)). Is o not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 117*p**6\/10 - 229*p**3\/6 + 60*p. What is the second derivative of v(b) wrt b?\nAnswer: 4212*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31552 - 1202353?\nAnswer: -1130401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z**9)\/z*z*z*z*z**(-8)*z*z)\/(z**2)**31)\/((z**2)**(-41)\/((z**(-2\/3)*z)\/(z**(-2)\/z))) assuming z is positive.\nAnswer: z**(91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 863199, 863203, 863205, 863205, 863203, 863199, 863193?\nAnswer: 863185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**6\/30 - 11*n**5\/60 + n**4\/6 + 13*n**3 - 94*n. Let x(r) be the second derivative of h(r). Factor x(v).\nAnswer: -2*(v + 2)*(6*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*n - 30*n = -826. Solve v = f + 1, n = 2*v + f - 6*f for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 5)*(1831 - 1032*h - 911 - 917).\nAnswer: -2064*h + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2*(-19)\/(-8))\/(12\/(-48)). Suppose -16*v + n*v = 18. Let s be (9\/v)\/(1*2\/24). What is s rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -623*g**2 + 1396*g**2 - 276*g**2 + 1575*g**2.\nAnswer: 2072*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7169*a**5 + 361*a - 1?\nAnswer: -143380*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -26*l - l**2 - 23*l - 3 + 44*l. Let i be r(-3). Solve n + 0*f = i*f + 1, 3*n = -f - 7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -682653 + 5?\nAnswer: -68264d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -375, -706, -1037, -1368, -1699?\n\"Answer: -331*m - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*(-1*(sqrt(99) - (sqrt(99) - sqrt(99)*-1)))\/sqrt(9).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whdlpshw. What is prob of sequence sp?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2400.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5298405 and 30?\nAnswer: 10596810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (8 - (12 - 4)). Are 30\/437 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9400 = m + 3*u - 1118, -2*m = 3*u - 21030. What is the thousands digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -921, -5, -4, -3, 1\/2, 5.\nAnswer: -921, -5, -4, -3, -1\/4, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1273 is divided by 250?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 166.93049 to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/(h\/(h**1*h*h*h))))**(-1\/13))**(-1\/10))**(1\/11) assuming h is positive.\nAnswer: h**(-3\/1430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.02, -1\/5, -26, 4, -4?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a hour in seconds?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 452 + -442. Solve 15*x - j = 20*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of 1\/4*f**4 + 0*f + 2\/3*f**3 - 1\/60*f**6 - 5*f**2 + 0*f**5 + 0. Factor w(p).\nAnswer: -2*(p - 2)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or 74\/7?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/12520 and 47\/626.\nAnswer: 12520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332912 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6*m. Let c be z(2). Let j(i) = -i + 0*i - 6*i - c + 2*i. What are the prime factors of j(-9)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007357224 rounded to 6 dps?\nAnswer: 0.000736","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + 2 + 2)*-1. Let a be d\/(-4) - (-133)\/28. Suppose -10 = a*x - 0. Let t(m) = 2*m**2 + m + 2. Determine t(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/5010?\nAnswer: -1\/5010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5435 (base 9) in base 2?\nAnswer: -111110100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -1319*o - 712285. What is u(-540)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -388755 not equal to -388754?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1634556 a multiple of 957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.84 + 0.04. Let u = y + 0.6. Which is the biggest value? (a) u (b) 3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 0, -784, 4 in increasing order.\nAnswer: -784, -4, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2711568 is divided by 29?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86900 and 23540?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 45\/20*-2 + 2\/(-4). Let f(n) = n + 2. What is f(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 + 68. Let d = 32 + -29. Suppose a - s = -d. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 190770*r**3 - 19*r**2 + 1106*r + 2 wrt r.\nAnswer: 1144620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.18 + 1.98. Let y = 2 + -2. Let v = y - -0.3. What is the nearest to 1 in v, w, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.3? (a) -5 (b) -4 (c) -2 (d) -8\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3 - 0) + 0 - (-43 + 40)) + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14 - -679b2a?\nAnswer: 679b41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 17*t + 25. Let g be q(7). Suppose -5*r + 14 - 84 = 0. Let m = r - g. Calculate the remainder when m is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 360, 728, 1090, 1446, 1796, 2140, 2478?\n\"Answer: -3*y**2 + 377*y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1696 divide 305261344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 2*c + 2. Let b = -21174 - -21169. Sort c, -8, b, 1 in descending order.\nAnswer: 1, c, b, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (288\/(-45))\/(128817\/18405 + -7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/334 and 16\/9?\nAnswer: 3006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69 + -25. Let n = l - 44.41. Let k = n - -0.01. What is the smallest value in 2\/7, k, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.3294793 - -8.799482. Let a = -42.53 + 43. Let l = x - a. Round l to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -33935, 5.6, -6, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 895537401 to the nearest integer?\nAnswer: 29926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/30*15\/(-9)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 406.01 to zero dps.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 9*w**2 + 26*w - 18. Let a(j) be the first derivative of j**4 - 12*j**3 + 105*j**2\/2 - 73*j - 6. Let q(r) = 2*a(r) - 9*b(r). Factor q(x).\nAnswer: -(x - 4)**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315*k**3 - 666*k**3 + 304*k**3.\nAnswer: -47*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2046477015 to the nearest integer?\nAnswer: 45238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 293 in -0.05, -425, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55472424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 4:12 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 6*k + 58. Determine g(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4467*r + 4. Suppose -2*k + 4*y + 10 = 0, 6*k - 3*k + 3*y + 12 = 0. Let l be d(k). Let f = 7854 + l. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2940 and 322812?\nAnswer: 1614060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3035, -6104, -9173, -12242, -15311?\n\"Answer: -3069*t + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*t**2 - 24*t + 132*t**2 + 203*t**2 - 22*t.\nAnswer: 287*t**2 - 46*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 63917*j - 64252*j - 33835 for j.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r\/((r\/((r*(r\/(r*r**7))\/r*r)\/r))\/r))\/r)*r**(-2))\/(r*r**(2\/3))**18)**(-2\/7) assuming r is positive.\nAnswer: r**(48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 335039 and 13706912?\nAnswer: 4241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -60*a**3 - a**2 + 2*a + 2. Let b(z) = 61*z**3 + 3*z**2 - 3*z - 3. Calculate -2*b(y) - 3*w(y).\nAnswer: 58*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24920)\/712*(-8)\/21*3.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 2 - (-6 - (-5 + 7)) - 18.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 0 + 4 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (46\/(-26) + 2 - (-43)\/((-241488)\/594))*40\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(1300) - (sqrt(1300) + 0 + sqrt(1300) + 4 - sqrt(1300)) - sqrt(1300)) + sqrt(1300) + 1)**2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.6, 4, 194.1 in increasing order.\nAnswer: -2.6, 4, 194.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 101110010000?\nAnswer: -101110010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -20501 (base 6) to base 16\nAnswer: -ad5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, a: 3, o: 7, l: 2}. Give prob of picking 2 l.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3664, 14481, 32522, 57799, 90324, 130109, 177166?\n\"Answer: 2*y**3 + 3600*y**2 + 3*y + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27046499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 + 3*d**3 - 11*d**3)*(5*d - 4*d - 12*d).\nAnswer: 110*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 622, 901, 1178, 1453, 1726?\nAnswer: 1997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-3192)*3*-1)\/((-117)\/(-10374)*38)\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9092, -176, -7?\nAnswer: -176","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 178*t**3 + 5*t - 3. What are the prime factors of z(3)?\nAnswer: 2, 3, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v**2 - 7 + 0*v**2 - v**3 + v**2. Let q = 34 + -37. Let c be p(q). Solve -c*s - 3*s = 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8f0 - -5b2?\nAnswer: -33e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 11:15 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73230.\nAnswer: 2, 3, 5, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.5915 + 4549708?\nAnswer: 4549715.5915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (865 - 1736 + 7*s + 853)*(-2 + 6 + 0).\nAnswer: 28*s - 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**3 - 7*w**2 - 8*w - 53. Let o(n) = -n - 4. What is i(r) - 7*o(r)?\nAnswer: 4*r**3 - 7*r**2 - r - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36636276?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**(-1))**(-31)\/((r\/(r**1\/r))\/r**(-5)))\/(r*(r*r**(-2)*r)\/r*r*r**4)**(-5) assuming r is positive.\nAnswer: r**(-74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -25*d + 263. Give w(11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2907677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 5*o**2 - 6*o - 1. Suppose 11*u = 7*u - 24. What is the tens digit of i(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/21*(65 + 1). Let z be (-1)\/(-4) + (-9)\/4. What is the smallest common multiple of 20 and (-1)\/(z - (-43)\/t)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -2\/217 (c) -6\/7 (d) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 15, 1, 115, 17, 14 in decreasing order.\nAnswer: 115, 17, 15, 14, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 252 - -253. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3239616 and 1968?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -110 + 117\/2*r**2 + 0*r. Let p(v) = v. Give k(p(d)).\nAnswer: 117*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22042 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (6 - (-8 + 15))) + 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 140857?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -1143323?\nAnswer: -1143333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -749 - -1792. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/(-56) + (-1082)\/14. Suppose -2*b - 2*b = -440. Let v = b + s. What are the prime factors of v?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2232 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: Let j = -4 - -6. Suppose 5*u = -j*y - 24 + 5, 2*y = -u - 7. Let s = y - -9. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -6 + 2*y**2 + 6. Let j(k) be the first derivative of -4*k**3\/3 - 13*k + 1. Let i(b) be the first derivative of j(b). Calculate a(i(u)).\nAnswer: 128*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a microgram in nanograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/21*(-1)\/(-1). Let m = -7 + 11. What is the second smallest value in m, j, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(2\/(-2) + 2). Let o(a) = 5*a**3 - 2*a**2 + 2*a - 1. Let w be o(1). Let n = w + f. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -516 + 508. Let t = 216942.99976 + -216935. Let p = t + j. What is p rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*g + 2200. Suppose -4*u + 0*u = -g. Let y be (-2)\/(-6) - (-262)\/6. Calculate the greatest common divisor of u and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*j + 3 + 31*j - 17 as u + y*j and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 679890.4nm in kilometers?\nAnswer: 0.0000006798904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1216 and -31\/1480.\nAnswer: 224960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -v - 3. Suppose 4*r + 1 + 3 = v*g, r - 26 = -4*g. Suppose -1167*y = -1171*y + q + 6, 3*y = -q + 8. What is the highest common factor of y and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 2*b + 26. Let o be w(6). Suppose -o*i + 129 = -37. Calculate the remainder when i is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 7*l = -24. Suppose -18 - l = -3*i + 3*z, 8 = -4*z. Let d be (6\/5)\/(2\/30). What is the greatest common divisor of i and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/29604583 or -1?\nAnswer: -6\/29604583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 5*f, 5*g = 2*f - 7*f for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**5 - 2744*x**4 - 21806*x**3 + 24552*x**2 = 0 for x.\nAnswer: -1364, -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + (sqrt(605) - (sqrt(605) - 2*-3*sqrt(605))) + -2*(4 + sqrt(605)) + -1*sqrt(605)*2*-1*6)**2.\nAnswer: -880*sqrt(5) + 15189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-5)*488\/3294?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, f: 1}. What is prob of picking 1 r and 1 f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-6)*3\/2. Let r = 2 + -5. Let d = -15 + 15.1. Which is the nearest to d? (a) i (b) r (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42550600.\nAnswer: 2, 5, 31, 6863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*v + 42 - 42 - 5 + 2*v + 5 + (0 + 5 - 3)*(0*v + 0*v + v) + 0*v - 1 - 4*v + 2*v.\nAnswer: -12*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2907, 22157, 74409, 176163, 343919, 594177, 943437, 1408199?\nAnswer: 2004963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -751679, -1503356, -2255033, -3006710, -3758387, -4510064?\nAnswer: -5261741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(36\/8)\/(-9). Suppose -x + 5*x - 152 = r. Let g = 1312 - 1311. Calculate the least common multiple of x and g.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -1. Let h(v) be the third derivative of -v**4\/12 - 5*v**3\/6 - 4*v**2. Let t be 2\/(-9) + (-47)\/(-9) + -4. Calculate t*h(j) - 4*w(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**5\/30 - 19*p**4\/24 + 13*p**3\/6 - 18*p**2. Let f be r(9). Suppose k = -1, f*g + 2*k = 3*g - 42. Round g to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.376 or -16\/5?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 8:43 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 74 = -86. Calculate the remainder when 22 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185 = 5*b - 3*j, 0*b = 3*b + 4*j + 140. Let m be 1\/4 + (-7)\/28. Let l = m - b. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1297347 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*l**3 + 1700*l**2 + 9*l**3 - 816*l**2 - 16 - 10*l**4 + 72*l - 840*l**2 = 0. What is l?\nAnswer: -2, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 31, -44, 2 in ascending order.\nAnswer: -44, -5, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4\/7 (b) 4 (c) 41 (d) -790\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(1\/3))**(6\/5))**(-5\/8))**20)**(12\/5) assuming w is positive.\nAnswer: w**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*d = -100*d - 41*d + 14468510. What is the highest common divisor of d and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-6 - -1) - (-1 - 99). What is the greatest common divisor of s and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/8*(-49)\/((-18179)\/(-106))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 2*w**7\/105 + w**6\/30 - w**5\/15 - w**4\/6 + 125*w**2. Factor x(y).\nAnswer: 4*y*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138\/(-121095)*-117*-255?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 208558.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-108)\/243)\/(9\/(-81))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 2*g + 86, -3*g - g = 5*n - 146. Put 4, -2, n, 0 in decreasing order.\nAnswer: n, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.8 - -0.8. Let u = -6.21 - g. Let i = 0.01 + u. What is the biggest value in i, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5142593 times -24\nAnswer: -123422232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (205 - 5*x**4 - 205)*((1 + 0 + 1)*(-4 + 3 - 1) - 1 + 0 + 2).\nAnswer: 15*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10523 + 10523. What is the nearest to m in -15, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10521035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 9*x**2 - 5*x + 24. Let u be h(-8). Solve u*k + 3*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*j - 7*j + 72 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 7. Suppose n*a = 2*a + 12. Let o(k) = -k**3 - 5*k**2 + 5*k - 3. What is o(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -158*w - 1863. Let l(f) = 3*f**2 + 15*f. Give y(l(p)).\nAnswer: -474*p**2 - 2370*p - 1863","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 12:33 AM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(156) - ((sqrt(156)*2*-1 + sqrt(156) - sqrt(156)) + sqrt(156))) + sqrt(156))\/sqrt(12) - sqrt(39)\/(-5*sqrt(48)))*5)**2.\nAnswer: 48373\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + x + 1 - 3 = 0, -4*x = -5*c - 8. Let y be (-2 - -2)\/(3 + -1). Suppose 9*t = 4*t - 4*s + 5, y = -t - 3*s - 10. Solve -20 = -t*b - c*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*z = 105*z - 297567. What are the prime factors of z?\nAnswer: 103, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 9 = 168. Calculate the remainder when s is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**3 - 3*o + 3*o - 14*o**3 + 13*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 l when two letters picked without replacement from lqqq.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3183 divided by -54495?\nAnswer: 1061\/18165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 6*c - c + 5*q, 4*q = 3*c - 65. Suppose -c = -4*m - 3. List the prime factors of 175\/14 + 2\/m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -243318.0002 + 243338. Let g = n - 20. What is g rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 121524 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 smaller than 599\/152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -20, 18, 56, 94, 132?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-3))\/((4\/(-3))\/2). Suppose 0 = -j*m - 141 + 545. What are the prime factors of m?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yysh when four letters picked without replacement from yhcshyyhchycyssyscs?\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 38*o**5\/13 + 48*o**4\/13 - 266*o**3\/13 - 108*o**2\/13 + 288*o\/13 = 0?\nAnswer: -3, -24\/19, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3.09*-4742\nAnswer: 14652.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1000010110110001000011 (base 2) to base 8\nAnswer: 10266103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3 - 3 + 1 + 3*u**2 - 24*u**2.\nAnswer: -21*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c**3 - 17*c**2 - 41*c - 582. What is a(-6)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -266 + 265.99. What is the nearest to -1\/6 in -2\/5, 3\/7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 103935 by 2535.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -l**5\/10 + 3*l**2\/2 + 4. Let p(x) be the second derivative of q(x). Let u(s) = s. What is u(p(w))?\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*x - 72 = 43*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -7*h + h**3 + 1 + 5 - 4*h**2 + 5. Let l be b(5). Put -5, -7, -1, l in decreasing order.\nAnswer: l, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -42 - j**2 + 621*j + 17 - 621*j. Let v(x) = 12*x. Calculate v(a(t)).\nAnswer: -24*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 52879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 5*l**2 + 6*l + 13. Let t be r(6). Let k = t - 76. Calculate the greatest common divisor of 15 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 7*d**2 + 30*d + 26. Give u(-10).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47448 divided by -1.\nAnswer: -47448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (343*q - 121*q - 51*q)*(-5 + 3 + 3)*(4 + 21*q + 4 - 5) as o + v*q**2 + z*q and give z.\nAnswer: 513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 9:00 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 811489259?\nAnswer: 7, 19, 1009, 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**4\/4 - 329199*k**3 - 8559107*k**2\/2 - 11521839*k + 64522367\/4 = 0.\nAnswer: -1316783, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 y when three letters picked without replacement from {y: 13, c: 3}?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -155 + 158. Suppose -26 = -2*i + 5*j, 46 = q*i - 2*j - 2*j. What is the greatest common divisor of i and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.6278716 to two decimal places.\nAnswer: 11.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 5 + -8 + (-4 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 252, 205, 96, -99, -404, -843, -1440?\nAnswer: -2219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**2 + 40*i + 756. What is g(-23)?\nAnswer: -1751","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 + 9*r - 9. Let q be n(7). Let k = q - -79. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23221560 - 3?\nAnswer: 23221556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5*o**2 + 5*o**2 - 2*o**2 - 7*o**2. Let r(w) = -3*w**2. Suppose -3655 = 2*f + 213*f. Give f*r(g) + 6*p(g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -5 (b) 0.5 (c) -7.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.94734 to 1 dp.\nAnswer: -13.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -529738, -529742, -529746, -529750, -529754?\nAnswer: -529758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10783595443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k + 357 = 136. Calculate the remainder when 38 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 125, -4\/11, -0.06, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 5:45 AM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00043699982 rounded to 6 decimal places?\nAnswer: -0.000437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10577666.\nAnswer: 2, 11, 480803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 12:23 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 2 = -7*z. Let k be (36\/(-30))\/(z\/515). Suppose -7*f + k + 503 = 0. What are the prime factors of f?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 36, -2\/13, 4\/7, 0.4, 5, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-292 - 8*c + 292)*(6*c**3 - 3*c**3 - 2*c**3)*(-3*c + 3*c - 15*c).\nAnswer: 120*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -8*n**3 + n - 1. Suppose -l + 3 - 7 = 0. Let b = -3 - l. Give u(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1\/6)\/k*k*k)\/((k\/k**(1\/5))\/k))**(-12\/13))**3 assuming k is positive.\nAnswer: k**(-186\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24917 is divided by 409?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 707909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92671 = -28*c + 955519. Is c a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -5*l - l. Calculate the lowest common multiple of l\/(-4)*(3 + -1) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.1 - -2. Let s = 0.4 + z. Let k = -183 + 184. What is the nearest to 0.2 in s, -2, k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 2:48 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 15*f**2 + 7*f + 2. Does 17 divide l(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, o: 2}. What is prob of picking 1 o and 1 y?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 3*l - 3, f = -3*f + 3*l - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 12 = -28. Suppose -4*a - 788 = -i*a + 3*b, -196 = -a + b. Is 17 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = i - 6, 0 = -x - 4*i - 13 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11391 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/2040 and -103\/1020.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4857 divided by 1.\nAnswer: -4857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 21*l + 263. Let b be n(-12). Solve 0 = -b*h - 4 - 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, -3\/8, -0.17, -16, 2\/7?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 11. Let g = -0.17 - -0.07. Sort g, p, 0.5 in descending order.\nAnswer: 0.5, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - s**2 - s + 1. Let r = -10 - -14. Let i(p) = p**3 + 6*p**2 - r + 2*p**3 - 5*p**3 + 3*p. Let u = -5 + 6. Calculate u*i(l) + 4*k(l).\nAnswer: 2*l**3 + 2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1088) + (sqrt(1088) - (sqrt(1088)*-1 - sqrt(1088)))*4 + -3 - (-5*(sqrt(1088) + -2*sqrt(1088)) + -2*sqrt(1088)*-5))**2.\nAnswer: 288*sqrt(17) + 13083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213 = 2*h + 2*h - 3*i, h - 2*i - 57 = 0. Suppose 5*m + o = h + 1987, 4*m = -2*o + 1634. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/90 and 20\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 3569.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**6)\/r*r**(1\/4))**33\/(((r**2*r)\/r)**(-50))**(-31) assuming r is positive.\nAnswer: r**(-11575\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n**2 + 80*n + 2. What is the smallest common multiple of 52 and y(20)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i + 57 - 59 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2*c = 6. Suppose 5*t = -5*r, 2*r + 5 = t - 2*r. Let g be 20 - 0 - 1 - t. Solve c*k + 4*b + 10 = -b, 3*k - 3*b + g = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1282*j = -3*g + 1242*j + 22, -2*g = -4*j + 16 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5867 is divided by 2876.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 4)*(34*i + 4*i**2 - 34*i + 2).\nAnswer: -16*i**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 4*s + 6. Let w be g(4). Let k = w + -1. Suppose -h = h - 110. What is the greatest common divisor of h and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0520614776 and -0.016.\nAnswer: 0.0360614776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32.4 + 36. Let u = -1.1 - i. Let s = 5 + u. What is the nearest to 1 in s, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 7. Let d(a) = 1 - a + 3 + 1. Let w be d(0). Solve o*c = 3*q - c - 11, -w*q + c = -15 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 80414, 80408, 80402?\n\"Answer: -6*b + 80420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 884 + -882. Let c(w) be the third derivative of 1\/6*w**3 + 0 + 0*w + 5\/24*w**4 + 12*w**k. Give c(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -4. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 0*y - 10, -4*p - 3*y = 11. Let d = -4.58 - 1.35. Let h = 2.93 + d. Which is the third smallest value? (a) -0.1 (b) h (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 12*n + 24. Let p be b(-2). Solve p = -2*y + 3*j + 4, 5*y + 2*j = -j - 11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2282 less than 75.8?\nAnswer: 2357.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 7*z - 287. Calculate the remainder when z is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54845130 a multiple of 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*f + 6120 = 48*f. What is the lowest common multiple of f and 396?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -80 and -5117.5.\nAnswer: -5197.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 6. Let d be p(-6). Suppose l = -d*l - 18. Is (-2)\/6 + (-4776)\/l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 18*n**3 + 968*n**2 - 222*n - 278. Calculate o(-54).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (0 + 1 - 0). Let p = 8 - b. Calculate the smallest common multiple of 0\/3 + (-3)\/(-3) and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00328250768 rounded to five decimal places?\nAnswer: 0.00328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 12:19 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 19\/4, 2\/7 in decreasing order.\nAnswer: 19\/4, 2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -4. List the prime factors of ((2 - n) + -2)*14.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {d: 3, h: 7, i: 9}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 29\/10 (c) -2 (d) -5\/93 (e) -0.5 (f) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 30 - -105?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 143123.\nAnswer: 8\/143123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112, -117, -122?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 15*g**2 - 10*g - 9. Calculate q(-14).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1045*z + 132102 = 695*z + 5599*z for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 79288 and 34344?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**5\/20 - 3*y**4\/4 + 5*y**3\/3 - 11*y**2\/2 + 3*y. What is the remainder when 7\/1*(0 + 2) is divided by d(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j - 1. Let a be v(-7). Calculate the greatest common divisor of 26 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9620 + -5512. What are the prime factors of n?\nAnswer: 2, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*d*j**2*q**3 - 3*d*j*q**2 + 2*d*j + 3*d*q**3 - 16*j**2*q**3 + 26*j*q**3 + 4*j*q wrt j?\nAnswer: 68*d*q**3 - 32*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214*k**3 + 199*k**3 + 39*k**3 + 46*k**3.\nAnswer: 498*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fu when two letters picked without replacement from {u: 1, a: 1, f: 1, m: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**19*f*f\/(f\/(f*(f**17\/f*f)\/f)*f) assuming f is positive.\nAnswer: f**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40601113.\nAnswer: 7, 5800159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103052023 (base 7) to base 15.\nAnswer: 811671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a0 (base 11) to base 8.\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 9*b**2 - 9*b + 9. Let f be q(8). Let r(w) = 11*w**2 - 19*w + 20. Let a be r(f). Solve o - a = -3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 19*t - 21. Let r be o(0). Calculate the remainder when ((-21)\/(-4))\/(r\/(-616)) is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 111?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5513?\nAnswer: 37, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-9) + (-602)\/21. Let c = -25 - z. Let s(h) = -h**2 - 2 + 2*h**2 - 2*h**2 + 4*h. What is s(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -62*c**3\/3 + 183*c**2\/2 + 200*c. What is the first derivative of m(s) wrt s?\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5*i - 56. Let n(b) be the third derivative of b**4\/12 + 19*b**3\/6 + 3*b**2. Let m(l) = -17*n(l) - 6*u(l). List the prime factors of m(-14).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -3*w - 13, 0 = 5*s + w - 2*w + 17 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 111020 (base 3) in base 7?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i - 15 = -h + 11*i, 3*h = 4*i - 19 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*t + 357 = 3*t, -5*k = 5*t - 605. Put 2, 0, k in increasing order.\nAnswer: 0, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n - 1. Let o be m(13). Let j(y) = y - 10. Let d be j(13). Find the first derivative of o*l**3 + 2*l - 2*l - 33*l**d - 3 wrt l.\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, v: 5, w: 2, q: 3}. Give prob of picking 2 v and 1 w.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2)\/c)**26)**(4\/11)*((c*c*c\/c**(-5)*c*c)\/(c\/(c**(-2)\/c)*c))**5 assuming c is positive.\nAnswer: c**(-37\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -59 in 5, -2, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-68)\/(1632\/(-90)))\/(3\/(-8))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -314?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3 = -19. Suppose 2*r - 81 = t*r - 3*m, 3*m - 33 = r. Let x = 59 + r. Calculate the remainder when 50 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 19, -1\/7, 16\/3, -7.6?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 2*o**2 - o - 1. Give t(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50747183 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y + 1636 = 26*y - 2492 for y.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 4*j. Suppose u - 5 = j, -5*k = -3*k - u - 3. Suppose k*r = 70 - 22. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2 + 50*k - 399. Let u(z) = -z**2 + 25*z - 200. Let y(f) = -4*d(f) + 7*u(f). What is the remainder when 105 is divided by y(14)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -930220, -1860437, -2790654, -3720871?\n\"Answer: -930217*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.9, 0.18, -3\/7, 1\/3.\nAnswer: -3\/7, 0.18, 1\/3, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 2*c + c)*(c**2 + c**2 + 0*c**2)*(-2 + 2 + 2*c**2) + (0*c + 3*c - c)*(2*c**4 - c**4 + c**4) - 3*c**5 + 2*c**5 + 0*c**5.\nAnswer: 19*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.046 (b) -2\/7 (c) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + sqrt(1900) + sqrt(1900) + 1*sqrt(1900))**2.\nAnswer: -68404 - 240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -10*u**2 - 33*u - 169. Let q(n) = -9*n. Determine i(q(p)).\nAnswer: -810*p**2 + 297*p - 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*58*(-51)\/12 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -82 - -145. Let s = o + -60. Suppose 15 = -s*y + 45. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 12 = -6*q. Let z = 13 - 8. Suppose q*g + 3*u = -0*u + 37, 0 = -3*g + z*u + 6. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1575 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n. Let v(y) = 18*y + 7. Let g(h) = -5*r(h) - v(h). Let f(o) be the second derivative of -o**3\/6 - 2*o**2 + 67*o. Calculate -7*f(i) + 4*g(i).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n - 4. Let h(v) = 1. Let q(o) = -2*h(o) - x(o). Let r be q(0). Suppose 4*j = -3*d - 13, -3*d - 8 + 1 = -r*j. Is j > -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 133 - 1561\/12. Let w = -6961 - -13641\/2. Let i = -128 - w. What is the common denominator of i and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 - 2 + 2 + 0 - x**2 + 0 + (-x + 0 + 0)*(-5 + 5 - x) + 5*x**2 - 3*x**2 - 4*x**2 + 2 - 2 - 2*x**2 - x + 2*x**2 + x.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 394*v**3 + 7458*v**2\/7 - 2440*v\/7 + 24\/7 = 0.\nAnswer: -3, 2\/197, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-18)*(21\/6 - 3). Let j(u) be the second derivative of 1\/3*u**3 + 0 - u + 0*u**2 + v*u**4. What is the second derivative of j(n) wrt n?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*m**2*u**3 + 21*m**2 + 2*m - u**4 - u**2 wrt u?\nAnswer: 84*m**2 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/19 - -81\/152. What is the smallest value in 0, q, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/(-100))\/((-40)\/75).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 18*b - 2. Suppose 13 + 1 = l + 5*z, 38 = -5*l + 2*z. What are the prime factors of n(l)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6077 and 531.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tz when two letters picked without replacement from {k: 2, h: 1, t: 1, x: 1, z: 1, b: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2064649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -364\/43 + -3707\/258. What is the common denominator of w and 5\/4*(-427)\/(-175)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14709848 divided by 1201.\nAnswer: -12248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2094, -2148, -2140, -2046, -1842, -1504?\n\"Answer: 4*s**3 + 7*s**2 - 103*s - 2002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 193368*c**3 + 5*c**2 - 9*c + 5. Is h(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 1 = -2*z - 1, -5*z - 5*i = -25. Suppose -z*p = -2*y - 22, 0*p + p = -4*y + 1. What are the prime factors of ((-84)\/p)\/(2\/(-3))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thhhttodhnddhtc. Give prob of sequence ton.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 14692?\nAnswer: 161612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -0.5 (c) -68\/5 (d) 3 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) + -5)*3 - sqrt(432))**2.\nAnswer: -720*sqrt(3) + 1953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2191?\nAnswer: 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5282*i**3*t**2 + 23355*i**3 - 322*i**2*t**2 + 2*i*t**2 + t**2 + 3417 wrt i?\nAnswer: -31692*t**2 + 140130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -32485, -32481, -32477, -32473?\n\"Answer: 4*a - 32489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 1 = 7. Suppose 3*g - 2*g - 23 = -f*o, 5*o - 48 = -2*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/16220135 and 23\/3244027.\nAnswer: 16220135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 + 0*b + 0*b. Let s(h) = 7*h - 4*h - h. Calculate s(o(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 c, and 1 f when four letters picked without replacement from nhtcgfcnhhffcccnffft.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -3*l**5\/5 - l**4 - 8*l**3\/3 - 2. Let v(j) = j**3 + j**2. Let z(s) = d(s) + 4*v(s). Find the third derivative of z(t) wrt t.\nAnswer: -72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28817460 and 210.\nAnswer: 28817460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**4\/12 - f**2\/2 - 2*f. Let v(t) be the first derivative of o(t). Let w(j) = j**2. Give v(w(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (3 + 3*sqrt(343))**2)*-3.\nAnswer: -9282 - 378*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -3*c - 2*d, 5*d + 6 = c - 9 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 - 4 = -3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19590\/93257 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 372611\/10 - 37322. Let t = 1581\/26 + c. Find the common denominator of 89\/10 and t.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.7, 2, -1\/8, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-40)\/(-19) + -2 + (-10948)\/399. What is the third biggest value in -3, t, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -444.7848743 to two decimal places.\nAnswer: -444.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/13)*(k*(((k*k**(-4\/13)*k)\/k*k)\/k)\/k)\/k*(k*k**(-2\/13))**(-12))**(-50) assuming k is positive.\nAnswer: k**(6650\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/40)\/(81\/180)*(-444)\/(-30)\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**2 + 6406*m**3 + 4390*m**3 + 5*m**2.\nAnswer: 10796*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5579763?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/12560 and -41\/105.\nAnswer: 263760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22868313 - -22868325.5172065. Let c = a - -5.4828039. Let k = c + -18. What is k rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -67\/4, -0.204?\nAnswer: -67\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0107535719 to five decimal places.\nAnswer: -0.01075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 602524516 times 2?\nAnswer: 1205049032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 157130*b + 253. Is y(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.697792 millilitres in litres?\nAnswer: 0.005697792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 422\/1275 - -1\/425. Let g(w) be the first derivative of 0*w**2 - q*w**3 + 5 + 0*w - 5\/4*w**4. What is the third derivative of g(j) wrt j?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * 12.78.\nAnswer: -76.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 109*o**2 + 91*o + 2087. Determine d(110).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -243, 64, 369, 672, 973, 1272?\nAnswer: 1569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 527311972 to the power of 1\/3, to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -111 + 71. Let i be -4 - -1 - -2 - y. Suppose -5*h + 80 = 5*x, 2*h = 3*x + 2*x + i. List the prime factors of h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0021706788 rounded to 5 dps?\nAnswer: 0.00217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 7:34 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16413759, -32827522, -49241285, -65655048?\nAnswer: -82068811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23642359\/220 + -107466. Let h = 1\/55 - f. Which is the biggest value? (a) h (b) 9\/4 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 + 122*a - 1968. What is k(31)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 11*x**2 + 14*x + 12. Let j be n(12). Calculate the highest common divisor of j and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q**4\/4 + q**3\/3 - q**2\/2 + 11*q + 9. Let k be -1 - (-1 + 2 + -2). Is 6 a factor of u(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 56\/(-12)*18\/(-21). Let s be (-5 - -6)*w\/1. Let d(t) = -t**3 + 5*t**2 + 3*t + 4. Let k be d(s). Calculate the highest common factor of 4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.0073 take away -2464?\nAnswer: 2513.0073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2737 + 2776. Calculate the greatest common factor of f and 975.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 837 - 738 = 3*a. What is the lowest common multiple of ((-24)\/(-16))\/(2\/36) and a?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 - 30*h - 80.\nAnswer: 5*(h - 8)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 1 + 2. Suppose -8*o - 3*g + 37 = -3*o, 5*g - 20 = 0. Let h(s) = -s**3 + 7*s**2 - 7*s - 2. Let r be h(5). Solve o*i + r = u for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (66 + 89 + 20 - 260 + 2 + 2 - 5 + (1 + 2 - 4)*(-1 - 1 - 1) + 1 + 3 - 3)*(-w**3 + 3*w**3 - w**3) to the form p*w**2 + m*w**3 + v + f*w and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2806\/3 + -1853\/2. Let i = 34\/3 - d. What is the second biggest value in -5, -3\/4, i?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**3 + 6*p**3 - p**3 - 6*p**3 + p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 893409576?\nAnswer: 2, 3, 97, 383767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**5\/20 + 5*r**4\/12 - 4*r**3\/3 - 7*r**2\/2 + r. Let t be q(-6). Suppose 5*d - 40 = -3*k + k, t*k = -25. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77 (base 10) to base 13.\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-17)\/2)\/(1\/(-2)). Let x be (3 - s\/5)*15. Let b = x - -18. What is the remainder when 33 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 7*v + 4. Let c be r(-4). Let a be c\/2 + 6\/3. Let b be (4 - 7)\/(a\/12). What is the greatest common divisor of 9 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 11:42 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -77 - (-88 + -40 + 165)?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -255107\/26 - -9816. Calculate the common denominator of (-517)\/99 + (-4)\/(-6) and c.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-558)\/68355*7\/(-2))\/((-3)\/(-5))?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -419\/687?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 2 - 3*f)*(-1768 + 1766 + 0*f + 5*f**2 - f) to d*f**3 + s*f**2 + o + n*f and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**3 + 182*r**2 - 120*r - 165. Give j(60).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*t**5\/5 - 591954*t**4\/5 - 443998*t**3 + 739980*t**2 = 0. What is t?\nAnswer: -5, 0, 5\/4, 73998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - i + 1. Let z be u(-2). Let a = 4 - 3. What is the closest to z in 0.5, a, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 273 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*m - 30. Let r be (m\/(-130))\/((-9)\/(-12)). What is the closest to r in 4, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/464116 and 133\/6.\nAnswer: 1392348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -110391, -110401, -110425, -110469, -110539, -110641, -110781, -110965?\n\"Answer: -c**3 - c**2 - 110389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*h**2 + 12413 - 12413 to i*h + q*h**2 + b and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06 - -0.76. Let q = 0.77 - r. Let x = q + -4.07. Which is the smallest value? (a) 4 (b) -1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/19 + 405250*r\/19 - 4457992\/19.\nAnswer: 2*(r - 11)*(r + 202636)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19.1 + -22.1. Let j = -20 + 15. What is the second smallest value in t, -2, 3, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.21734 and 3461?\nAnswer: 3460.78266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.71412449 + -0.4?\nAnswer: -1.11412449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 56*u**2 - 252*u - 1019. Let r be s(-4). What is the highest common factor of r and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)*1)\/sqrt(12) + sqrt(6) - -4*sqrt(6)*2)\/((sqrt(600) - (sqrt(600) + sqrt(600)*-1))\/sqrt(12)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/15)\/((-9)\/6). Let f be (-1)\/20 + (-5)\/(-20). What is the biggest value in -1, f, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 207 - 203. Suppose 9*h - 4*h + 4916 = s*f, 0 = 3*h. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -2. Suppose y*w - 6 = 2*w. Is 114\/9*9\/w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 22180217.\nAnswer: 22180216.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooopmaapapoaa. Give prob of sequence pa.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -132 - -168. Let b = v + -36. Suppose b = 16*k - 13*k - 444. List the prime factors of k.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**5\/75 + 8*o**4\/5 - 384*o**3\/5 - 27*o**2. Factor g(j).\nAnswer: -4*(j - 24)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000055228 rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*g**2 - 12711210*g - 6933384.\nAnswer: -(g + 1155564)*(11*g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 5*f + 2*f)*(2 - 2 + 1) - 2*f - 2*f + 5*f + 28 + 38*f - 28.\nAnswer: 37*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 617 is divided by 185.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145570*v**2 - 36395*v**2 + 5*v**3 - v**3 - 36390*v**2 - 36388*v**2 - 36397*v**2.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25214*z - 187 + 92 + 95.\nAnswer: 25214*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 219805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t**5 + 32037541*t**3 + 111632212*t wrt t.\nAnswer: 40*t**3 + 192225246*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of 1\/10*g**4 - 4\/5*g**3 + 3\/50*g**5 + 0*g - 7 - 1\/350*g**7 - 1\/200*g**6 + 6*g**2. What is i in u(i) = 0?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -m + 4, -3*k + 41*m - 6 = 38*m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1022?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 4*g**2 + 4*g. Let n(c) = c**3 - 5*c**2 + 5*c. Suppose 4*h + 5 = -3. Let x be (0 - -6)*h\/3. Give x*n(y) + 5*f(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (1 + -5) - (14 - 13)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1350? (a) 1 (b) 4 (c) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -163594\/5313 - 13\/483. Which is smaller: -30 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 - 77. Let w(x) = -7*x**3 + 6*x**2 - 7*x + 9. Let z(m) = 21*m**3 - 17*m**2 + 20*m - 26. Let v(p) = i*w(p) - 6*z(p). Differentiate v(d) wrt d.\nAnswer: -21*d**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 8:30 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 3, t: 17}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 909971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-21))\/(52\/28).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1827 at least 1805?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3 + 5 - 0\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 116990479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3*(-5 + -5*(-1 + sqrt(2700) - sqrt(2700))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*c = -18. Let k = 25 - c. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17, -26, -35?\n\"Answer: -9*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 21. Let m = 14 + -18. What is the smallest common multiple of (2\/m)\/((-7)\/154) and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -2. Suppose h = -3*g + 2 + 4. Suppose g*n - 29400000 = -n. What is n rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 4*y + y = 17, -r = y - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.8 + 2.9. What is the third biggest value in 0.28, -0.4, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -171d (base 15) to base 10\nAnswer: -4978","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 0 + 0)*(3 - 2 - 2) - 4 - u + 4 + 60*u + 67*u - 225*u - 18 + 88*u + 155*u.\nAnswer: 143*u - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 57, 2\/7, 0.066, 0.7, 0.5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.508871nm in micrometers?\nAnswer: 0.001508871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*m**2*o**4 - m**2*o**3 - 2373*m**2 wrt o?\nAnswer: 24*m**2*o**3 - 3*m**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.304 (b) 6\/11 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 17*i + 27. Calculate the lowest common multiple of d(-17) and 33.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220214973 a multiple of 2749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 7:59 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 38.47446 litres?\nAnswer: 38474.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -16 from -4301.\nAnswer: -4285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*j**3 - 136*j**3 - 1 + 1.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4 + 4 - 3*y. Let a(o) = 8*o - 9. Let d be a(7). Let n(c) = d - 95 + 5*c + 48. Determine n(g(f)).\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) 1 (c) -2\/7 (d) 0.8 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4301463?\nAnswer: 3, 1433821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.3, -1\/3986 in increasing order.\nAnswer: -0.3, -1\/3986, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.0146, 12, -4?\nAnswer: 0.0146","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 2:20 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 12:41 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258574749?\nAnswer: 3, 149, 578467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 3*n**3 + 3*n**2 - 8*n + 3. Is s(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2976 and 5905376.\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 44*w**3.\nAnswer: -44*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 31*o**2 - 5*o - 14. Let d(m) = 5 + m - 11 + 9 - 6*m**2. Let n(g) = -11*d(g) - 2*i(g). What is the second derivative of n(k) wrt k?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 407456 - 5?\nAnswer: 407451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -160, -240, -320, -400, -480?\nAnswer: -560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -23. Let v be -2 - (0 - (-1277)\/(-73)). Let k = 1\/146 + v. Calculate the common denominator of b and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4194716.\nAnswer: 2, 17, 61687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/8)\/(1\/2). Let u = -33 + -1. Let o = i - u. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 - (14\/28 + 662\/(-4)).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 544 = 4*k - 304. Let b = k - 2336\/11. Put 0.5, 5, b, -2\/3 in ascending order.\nAnswer: -2\/3, b, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 5*v**2 + 3*v + 3. Let k be g(-5). Suppose -4*q - 2*q = 84. Which is smaller: k or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 4*r = -9, -199 = 2*a + r - 185 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (165\/(-132))\/((-1960)\/448).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 10*p**3 + 48*p**2 + 157*p - 59. What is n(-8)?\nAnswer: -3363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 + 60\/36 + 4\/(-6). Suppose -r + 20 = 4*t + 8, r + 3*t - 8 = 0. Let n = r - w. Which is smaller: 3\/10 or n?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) 5 (c) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8034818 a multiple of 794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, a: 18}. Give prob of picking 1 b and 2 a.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-10 - (3 - 12)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 + ((-55)\/3 - -11). Which is the smallest value? (a) -2 (b) p (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -0.2 (c) -0.1833\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 221220 + -1?\nAnswer: 221213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*l - 306 = 2. Suppose -l*g - 6*g = -24*g. Let q be (-4)\/10 - 17\/(-5). Solve -q*t + 6 + 0 = g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198176\/9 less than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 24 + 11 = 0. Solve 4*p + 6*k - n = 3*k, p = 2*k - 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o + 3*o + 2*o)*(2*o - o - 2*o) - 2*o**2 + 4*o**2 - 3*o - o**2 to u + p*o**2 + g*o and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -381.144, -5, -3, -0.2 in descending order.\nAnswer: -0.2, -3, -5, -381.144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxs when four letters picked without replacement from {x: 3, s: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**5 + 37*a**4 - 4*a + 34 wrt a?\nAnswer: 60*a**3 + 444*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 11:09 PM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-15) - 32\/(-12). Suppose 0 = -0*y - o*y + 16. Suppose t = -2*p - 3*p + 33, 3*t = -p + 29. Calculate the smallest common multiple of t and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) -3\/4 (b) -172 (c) 0.055\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*w - 641 + 95. Let j be w\/24 + 1*(-3)\/(-12). Factor -5\/4*v**3 + 5 + 25\/4*v**j - 10*v.\nAnswer: -5*(v - 2)**2*(v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 85 = i - 0*i, -2*i + 2*q = -120. What is the greatest common divisor of 13 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*k + 3562 = 0, -2*k = p - 6*p + 8913. Let z = p + -12454\/7. Let r = z - 4. Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/15)\/((-3)\/(-570)). Suppose 0 = -4*d - 20 + z. Let i = d + -2. Calculate the remainder when i is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 4.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 632761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 3. Suppose r*d + 5*d - 20 = 0. Let x(l) = l**3 + 6*l**2 - 3*l + 2. Let o be x(-6). Calculate the greatest common factor of d and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23925715 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*(l*l\/(l*l**(6\/11)*l))\/l))\/(l*l\/(l*l\/((l\/l**(-10))\/l))))\/(l**(-1\/17)\/l*l*l**(-1\/5)) assuming l is positive.\nAnswer: l**(-7663\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*(z\/z**9)\/z))\/(z**(-2\/7)*z)*(z\/z**0)**32 assuming z is positive.\nAnswer: z**(282\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 705\/28 + -99\/4. Let z = 5\/7 - h. What is the common denominator of z and 67\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*c - g - 248405 = 0, 4*c - 4*g - 248420 = 0. Round c to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16 (b) 4\/7 (c) 18 (d) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/(2\/(-2)))\/((1998\/(-37))\/(-54)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = 2*x - 421. Suppose -5*i + 0*g - 5*g = -315, x = 5*i - 3*g. List the prime factors of i.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.073678 to 3 decimal places.\nAnswer: -0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**3\/2 + 5*g**2\/2 + 3*g. Let x(p) = p - 1. Let j(r) = 2*d(r) + 10*x(r). Let m(k) = k**2. Calculate m(j(c)).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27.9 - -35. What is b rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -76*u - 3991. What are the prime factors of s(-86)?\nAnswer: 5, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence akk when three letters picked without replacement from kkkkkkkkakkkkkk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 46*l + 3. Let v(x) = 23*x + 1. Give -3*p(d) + 7*v(d).\nAnswer: 23*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/10)\/((-4)\/100). Suppose -m*w = -w + 36. Is 3 a factor of 876\/54 + w\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -2. Let z(k) = k - 3. Does 4 divide z(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4093413 or 8\/5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -89007.1500175 - -89007. Let k = j - -0.15. Round k to six dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (9 - (-10 - -34) - -1) - (3 + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72119322 is divided by 122.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 10. Suppose 0 = -2*y + y - 4. Sort y, -1, k in increasing order.\nAnswer: y, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -19*t + 7*t + 33*t + 11*t. Let o(u) = -2*u. Determine o(x(q)).\nAnswer: -64*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64746 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 6*p - 3. Suppose -2*d = -0*d - 8. What is the units digit of o(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - c - 14 = -2*a, 0 = -3*c + 9. Suppose -57 = -u + 4*p - 4, -2*p + 41 = u. Let z = u - 43. Calculate the lowest common multiple of z and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4, -40, -98, -178, -280, -404, -550?\n\"Answer: -11*z**2 - 3*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, l: 1, w: 2}. Give prob of picking 1 n and 1 l.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 44 + 4)*(-19 + 4*v + 0*v + 16)*(2*v + 0 + 0).\nAnswer: -344*v**2 + 258*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8824.28047 + -2241.09983. Let t = 11064 + z. Let n = 1.39 + t. What is n rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 16. Suppose 3*w + 20 = 2*b, -s = -2*b + 5*w + 3. What is b rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0159 + -2.6541. Round d to 1 dp.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/7 (b) 12 (c) -3.9 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454341?\nAnswer: 3, 269, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -274*y + 256*y - 216 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94414210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -51a800 + -aa?\nAnswer: -51a8aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 13) to base 7.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-104358)\/(-22) - 0) + (-582)\/1067?\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1608?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from noonoooooooonnoonoo?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 20 = -110. Let w = 47 - a. Solve -w*l = -5*l + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 5*r - 15, c + 3*c - 41 = -r. Let i be 27\/(-5) - (-4)\/c. Let s(v) = 4*v**2 + 6*v - 3. Let t(q) = -5*q**2 - 7*q + 4. Determine i*t(n) - 6*s(n).\nAnswer: n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8954 + 8973. Let f(j) = j**2 - 22*j - 25. Determine f(y).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s**3 - 908*s**2 + 1276*s - 918. Give w(-183).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -2*t + 5*c + 39, -t - 5*c - 7 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-165)\/(-21) + (-9)\/1. Let u = 7 - 6.9. Which is smaller: u or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*u + 4*u**4 - 8*u)*(226*u + 838*u + 206*u + 284*u).\nAnswer: 6216*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2285 + 2255. Let o be (-32)\/8*1\/(-14). Sort o, w, -2\/7, -5 in descending order.\nAnswer: o, -2\/7, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 - m + 78. Let t(u) = -u**2 + 2. Give f(a) + 4*t(a).\nAnswer: -2*a**2 - a + 86","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21.14 + -21.64. Let d(t) = 2*t - 12. Let c be d(8). Let o be c - 5 - (-5)\/3. What is the fourth smallest value in o, -0.2, k, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.07 or -31704.13?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -442c (base 14) to base 4.\nAnswer: -2320120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 40? (a) 1 (b) -2 (c) -0.4 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2625461?\nAnswer: 53, 49537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3142 - 4894. Let u = -1104 - o. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 - 4*f + 94 + 3*f - 4*f + 8.\nAnswer: -5*f + 146","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 691969890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 1)*(j + 1 - 2*j - 3*j) as p + b*j and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 153678108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -13*u - 43. Determine d(1).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 0.037872?\nAnswer: -0.18936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 + x**2 + 5*x**2)*((1 - 5 + 0)*(3*x - 3*x + 2*x) + x - 2*x + 2*x).\nAnswer: -21*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((9 - (35 - 10)) + -2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w - 14028 = -9*w. Calculate the remainder when w is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17\/20 - 669\/740. Let a = 4639\/7 - 663. What is the second biggest value in a, 0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 1030. Let g be c(0). Let p = 11322\/11 - g. What is the common denominator of 1\/(-4) + (-195)\/(-24) and p?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -200 + 200. Let i(a) = a - 8. Let f be i(10). Sort -3, f, j in descending order.\nAnswer: f, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 198238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 8 - 68. Suppose -2*p = -w - 188. Calculate the remainder when p is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 85, 0.4, 2\/123, -1\/4, 8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*t**2 - 3*t**2 + 3*t**2)*(-4*t + 4*t + t) - 2*t + 160*t**3 + 196*t**3 + 2 - 25*t**3 to q*t + u + g*t**2 + n*t**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2706567 - 266567. Round l to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12141 + 6287. Suppose 0 = -15*l + 4587 + 49923. Let a = l + c. What is a rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/38 and -23\/2.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 g when four letters picked without replacement from {l: 2, g: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.26 + -0.2. Let g = w + 0.449. Round g to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10653 and 990994.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -123 (b) -1 (c) 0.5 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/1405530 and 107\/33810?\nAnswer: 9838710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is bb + -471?\nAnswer: -394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 78 * 7.\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18\/(-24))\/(13 + 2 + 17919\/(-1188)). Factor l*m**2 + 10 - 39\/2*m + 1\/2*m**3.\nAnswer: (m - 1)**2*(m + 20)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*q**2 + 3 - 1 + 48*q**2 - 2.\nAnswer: 23*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - r**2)*(-3*r - 4*r**2 - 6*r**2 + 7*r**2) to q*r**3 + a*r**4 + d*r + i*r**2 + g and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5 + 11 = 0. Let l(c) be the first derivative of 0*c - 1\/3*c**6 + 0*c**2 - 3\/2*c**4 - 6\/5*c**5 - 2\/3*c**3 + o. Let l(i) = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(44) + 4.\nAnswer: 5 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33 - (-2061)\/(-54))\/(2\/12).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 3416*r - 22 = -3412*r, -3*r = -11*f + 29 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 6 = 2*h - 0, 5*z = h + 19. What is the second derivative of 5*w + 2*w**2 + z*w**2 - w + 9*w wrt w?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*a - 4*a - 16*a - 4*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.102 + 3.112. Let w = -2.876 + v. Is 2 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, s: 5, f: 3}. Give prob of sequence fuff.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1346)\/(-5))\/((-4)\/(-10)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 539.476 centuries?\nAnswer: 53947.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -4, 16836, 4, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - d + 1)*(2*d**2 + 7*d**2 - 4*d**2) + (2*d**3 - 2*d**3 - 2*d**3)*(6 + 2 + 4) + 2*d**3 - 2*d**3 - 4*d**3.\nAnswer: -33*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 1682*n**5\/5 - 2155*n - 977. Differentiate m(c) with respect to c.\nAnswer: 6728*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560229478?\nAnswer: 2, 19, 67, 293, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99) + ((-1*(-1 + sqrt(99)))**2 - sqrt(99)) + (2 + sqrt(99) + -3 + sqrt(99))**2.\nAnswer: -18*sqrt(11) + 497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*l - 19 = 0, 3*x + 2*l = -2*l + 8. Solve -2*k + 0 - 2 = 2*n, 0 = -x*n + 2*k - 28 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24846 is divided by 4968.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**3\/13 + 4145416*i**2\/13 + 4145410*i\/13 - 637756 = 0.\nAnswer: -2072707, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence em when two letters picked without replacement from {l: 2, m: 1, f: 2, e: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9a7 + -15?\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-175))\/((156\/40)\/13)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -484 + 484. Suppose m = -30*q + 27*q + 6. Solve -2*b = -10, -5*c - q*b - 6 = 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2. Let s = -1238 - -1241. Let u(l) be the first derivative of 0*l**2 - 7\/3*l**s - 13 + 0*l. Calculate u(b(x)).\nAnswer: -28*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3 - 7 + 3*s - 4*s + 5. Let f(j) = 5*j - 3. Let y(a) = 2*f(a) + 6*t(a). Let b(m) = 7*m - 5*m - 3*m. What is b(y(u))?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**4\/24 + b**3\/2 + 6*b**2. Calculate n(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548 is divided by 40?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a + 51*a - 936 = 0. What is the remainder when 60 is divided by a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 517696, 1035381, 1553076, 2070787, 2588520, 3106281, 3624076?\nAnswer: 4141911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 261286.53 months in years?\nAnswer: 21773.8775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.043 - -0.071. Let u = s + -0.1140225. Round u to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*d + 107*d + 214*d = -6912 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75 + 77. Suppose -23 = -q*s - 3. Solve 0 = 3*o + 6, 4*f = -2*o - s - 10 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 59149265.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 15. Let p be i + 0 - (-7 + 10). Let m = 12 - 6. Solve -3*f = -q - p, 2*f = -0*f - 4*q + m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.06 - 0.06. Let o = -11.393 + 0.133. Let p = o + h. What is p rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -5*z**3 - 4*z. Let b(j) = 4*j**3 + 3*j. Let l(g) = 4*b(g) + 3*n(g). Find v, given that l(v) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 497 is divided by 83.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 v, 1 a, and 1 b when four letters picked without replacement from vkanavbkbkbb.\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83030166 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15642 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 492*n - b = 497*n + 4 - 1, 10*n + 16 = 3*b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8628127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2. Let o(n) = -n**3 + 4*n**2 + 5*n + 4. Let t be o(5). Let d(u) = 3*u - 3*u + t*u. Give h(d(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 10:20 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 838, 1156, 1460, 1744, 2002?\n\"Answer: -z**3 - z**2 + 328*z + 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b + 18*b + 38 = 7*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**2*a*a)\/(a\/(a*a**(-1\/7))))\/(a**0)**(-5\/9)*(a*a\/((a\/(a*a*a*a**(2\/9)*a))\/a*a)*a**(-6))**(-7\/10) assuming a is positive.\nAnswer: a**(2773\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3388 and 700?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -96.08 + 0.05\nAnswer: -96.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*m**2 - 11*m**2 + 3*m**2 - 20*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-3\/10)*m*m**(-21))**48 assuming m is positive.\nAnswer: m**(-4488\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 8, -5, 31 in ascending order.\nAnswer: -5, 8, 14, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315 is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7011 and 1.2?\nAnswer: 7012.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3140781 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -30*c - 895. Calculate the smallest common multiple of o(-31) and -2 + 2 + 70 + 0.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**4\/4 - 99*w**3\/14 + 3*w**2 - 47*w + 5. Let r(a) = 0. What is a?\nAnswer: 1\/7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 9:24 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -298000000 to the nearest one million.\nAnswer: -298000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 353 in 7, 8, 0.24?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -18. Let m(i) = i**2 + 6*i + 9. Let v be m(t). Solve -o + v = -4*l + 7, 5*l = 5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.464475 centuries in years?\nAnswer: 446.4475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 124 or 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((3*sqrt(77))\/sqrt(7)*2 + -1) + 4 + 0.\nAnswer: -36*sqrt(11) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and -1319\/423 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 6*x**2 - 4*x + 3. Determine o(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 50199.7 to the nearest one thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4 = -1. Let f(i) = -9 - 3 + 23 - 2*i - 11. Give f(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4888 by 2.\nAnswer: -2444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-144)\/192*(-4)\/(-3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 11*t**2 + 14*t - 13. Give b(7).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 12:27 AM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2844229428.99999934 + 2844229453. Let c = -24 + v. Round c to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 x when four letters picked without replacement from {x: 1, v: 12}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 7*m**2. Suppose -2*g + 4*z = -18 - 28, -5*z = -g + 26. Let s(w) = 3*w - 4. Let c(u) = -28*u + 42. Let d(l) = g*s(l) + 2*c(l). Calculate k(d(b)).\nAnswer: 343*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 14*n**2 - 3*n - 3. Suppose -2*u = -10, -2*m + 19*u - 11 = 18*u. Let h(i) = -209*i**2 + 44*i + 44. What is m*h(w) - 44*z(w)?\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1027*g**3*z**3 - g**3*z - 2*g*z**2 + 4 wrt z.\nAnswer: 6162*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17256?\nAnswer: 2, 3, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111111010101111 (base 2) to base 8.\nAnswer: 377257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 83822580 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 108720546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 342249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/(-6) + -2)\/(-2). Let s = 12.87 - 7.87. Let u = 1 + -2. Which is the nearest to -1\/6? (a) s (b) q (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*k + 144*k**3 - 139*k**3 + 10*k - 4.\nAnswer: 5*k**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 y when two letters picked without replacement from {y: 3, l: 3, a: 3, w: 2, q: 2}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/19, 3\/5, -17, -4, -3, 14\/5 in increasing order.\nAnswer: -17, -4, -3, 2\/19, 3\/5, 14\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -39) + -22 + -1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 6*x. Let d be k(-5). Let h = -6 - d. Let u be 7 - h - (-1 - -3). Let t(q) = q**2 - 6*q - 6. What is t(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.23571 - -0.23571. Which is the second biggest value? (a) -1 (b) 1 (c) 5 (d) v (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/9 - 1) + -1\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4440 and -4468.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**3 + 119*g**2 + 320*g + 14406. Calculate y(-40).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k - 6. Let o be f(2). Let y(s) = -s. Let z(a) = -5*a + 27. Let r(d) = o*y(d) + z(d). Calculate the remainder when r(0) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oq when two letters picked without replacement from {o: 3, g: 2, q: 13}?\nAnswer: 13\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 12) to base 7.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5)*b*b)**48\/(b*(b*b**20)\/b*b*b**(-2\/55)*b) assuming b is positive.\nAnswer: b**(-9183\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*4\/336)\/((-1937)\/85228)?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -24 + (152 - 122).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 721968.1 to the nearest one thousand.\nAnswer: 722000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12228904?\nAnswer: 2, 1528613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 5*w**5 - 15*w**4 - 30*w**3 + 130*w**2 - 135*w + 45 = 0.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 110110111111111111110 (base 2) to base 8\nAnswer: 6677776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(2\/5)*g)**(4\/3)*(g\/(g*g*g**3*g*g))\/(g\/g**(-4\/5)) assuming g is positive.\nAnswer: g**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = 2*l + 14*t - 1742, -4*l + 3502 = t. List the prime factors of l.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*l + 164 = 0, 2*s + 294 = 5*l + 394. What is the smallest common multiple of 2800 and s?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*c - 5 = 0. Let y(h) = -10*h - 4. Suppose 4*v - 2*m = -8, 16 = -v - 5*m + 2*m. Let k be y(v). Solve 0 = -u + 5*b + k - 7, 5*u + 5*b = -c for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0291773201 rounded to four dps?\nAnswer: 0.0292","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is -2412*(-3)\/(-10)*40\/36*-3 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 517 and 518 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4 - 11*t + 1 - 1 + 17. Suppose 5 = -d + 9. Let o(z) = 8 - 12 - 2 + 5*z. Determine d*y(u) + 9*o(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42101\/7218 - -2\/3609. Calculate the common denominator of f and 79\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*x**3 + 1876*x**2 - 1148*x - 696.\nAnswer: -4*(x - 58)*(x - 1)*(8*x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f - 2*f + 5*f - 2*f. Let t be ((-4)\/2 - -2)\/(-1). Let u(g) = -5*g + 7*g + 0 + t. Calculate b(u(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 16611.\nAnswer: -1, 2, 16611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzzzgzzgzzzz. What is prob of sequence gg?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 7*g**2 - 5*g + 9. Determine a(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231 = -5*a - 31. Suppose 4*j + j - a = 0. Suppose 0 = 2*b - 0 - j. Solve -g - 24 = 5*v, 4 = b*v + 4*g + 36 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, -4663, 4, -4 in ascending order.\nAnswer: -4663, -67, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -84.92 and 0.5.\nAnswer: -42.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m + 2 = 0. Let f be 1\/(m - (-5)\/2). Let c(r) = 7*r**3 + 2*r**2 - 6*r**3 + f - r**2 + 5. What is c(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2 - -14) + (21 - -18) + -11\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/418)\/(15\/135). Let v = -1\/19 + m. Sort 1, -15, -2, v in descending order.\nAnswer: 1, v, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 4*b + 16, -258*b = 5*a - 259*b - 23 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, i: 1, o: 1, b: 2, r: 2, f: 1}. What is prob of picking 1 d and 1 o?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by 899110?\nAnswer: -31\/899110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -885464, -885462, -885460, -885458?\n\"Answer: 2*m - 885466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3217 = 3*o - 5*u, -3*u = -2*o - 2143. Let q be 12\/2*76\/o. Which is the closest to q? (a) 0.4 (b) -0.4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 5*v - 8. Let m(g) be the second derivative of g**4\/12 + 2*g**3\/3 + 7*g**2\/2 - 5*g. Calculate -7*m(d) - 6*w(d).\nAnswer: -d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-5) - 939\/(-15). Suppose 2*k - q = -3*d - k, -3*k = -3. Suppose 0 = -l + 3*c + 97 - d, 2*l - 5*c - 149 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14608 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 4*y - 2*y)*(0 + 2 + 0)*(0*y - 7*y + 15*y).\nAnswer: -32*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/25)\/(-16*(-2)\/60)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1859*-1.8.\nAnswer: 3346.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 15*f**2 + 11*f - 33. Let t be o(15). Suppose 13*z - t = -54. Calculate the lowest common multiple of z and 444.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -6823*y**6\/120 - 7771*y**3\/6 + 152*y**2 + 12*y. What is the derivative of r(g) wrt g?\nAnswer: -20469*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 4 - 4)*(2*r + 0 + 0) + 18619*r**3 + 14*r**2 - 19859*r**3 - 14*r**2 + 33682*r**3 + 35657*r**3.\nAnswer: 68101*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o. Determine c(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 9, -4, 2\/21, -1\/5.\nAnswer: -4, -1\/5, 0, 2\/21, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - -11. Is 33 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*y + 281 = 3*y + 741. Sort -1, -0.7, y, 38 in ascending order.\nAnswer: y, -1, -0.7, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 + 7 + 1*-4. Let f(u) = -2*u + 3. Let k(o) = -10 - 2*o + 3 + 10. Let b(w) = -2*w - 6. Let y be b(-4). Give q*f(n) + y*k(n).\nAnswer: 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + -1 + 1 + 20. What is the greatest common factor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n + 2*n + 0*n)*(-5*n**2 + 5*n**2 - 89*n**2) + 12*n**3 - 17*n**3 - 7*n**3 to r + b*n + p*n**3 + o*n**2 and give p.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136443502 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001343931121 to seven decimal places.\nAnswer: -0.0001344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 600.6722 decades in centuries?\nAnswer: 60.06722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1008458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134724049 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 10718567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(170)\/(-1*sqrt(10)) + sqrt(833)*6.\nAnswer: -5 + 41*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of d**5\/240 + 7*d**4\/96 - 2*d**2 - 9*d. Determine q, given that a(q) = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 779 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1739 > -5218\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**4 - 723*y**3 - 13110*y**2 - 12384*y = 0.\nAnswer: -16, -1, 0, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -5*r**2 - 3115*r - 3110 = 0?\nAnswer: -622, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -f**3\/6 - f**2\/2 - 17*f. Let p = -18 - -15. Let o = 3 - 5. Let b(j) = j + 1. Give o*b(u) + p*v(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61736, -61737, -61738, -61739?\nAnswer: -61740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 6*s + 40. Let x(n) = -n**2 + 12*n - 10. Let a be x(s). What is the highest common divisor of 90 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3842*a = -3754*a. Let w(y) be the second derivative of 17*y + 23\/2*y**2 + a - 13\/6*y**3. Differentiate w(j) with respect to j.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1836 - -885. Calculate the lowest common multiple of 18 and u\/(-45) + 12\/(-90).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-2 - -13) + -11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -154*o**5\/5 - 434*o**3\/3 + 544. What is the third derivative of l(x) wrt x?\nAnswer: -3696*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3578, -7057, -10536?\nAnswer: -14015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2582743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 4*i**5 + 300*i**3 - 60*i**4 + 197*i**2 - 471*i**2 - 226*i**2 = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 652 = 3*u + 54, 4*u - 1452 = -4*c. What is the remainder when c is divided by 122?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smmnz. Give prob of picking 1 m, 1 n, and 1 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11101 (base 2) to base 7\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87 + -88. Let l = -17 + 11. Let c be 2*1*l\/378. Which is bigger: q or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/f**(2\/25))\/f))**17\/(((f**(7\/4)*f)\/f)\/f*f)**11 assuming f is positive.\nAnswer: f**(-89\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -0.5 (c) -10 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3091627 by 7.\nAnswer: -441661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65.9495 + -66. Let w = v - 2.9395. Let h = w - -2.99318. Round h to four dps.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -124 and 123?\nAnswer: -15252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002464 rounded to 5 decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2174204629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**2*p**3*q + h**2*p**2*q - h**2*p + 3*h*p**3*q - 3*h*p**2 - 6889*p**3*q + 4302*p**2 - p*q - 2 wrt p.\nAnswer: -6*h**2*q + 18*h*q - 41334*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -10011100011010101?\nAnswer: -10011100011011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*v - 97*v = 84300. Suppose -20*p = -30*p + v. What are the prime factors of p?\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83 and 1171.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 1. Solve v - q*f - 5 = 0, -3 = -v + 2*f - 0*f for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 223*w**2 - 24*w - 52. List the prime factors of r(-2).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 9\/(18\/40). Suppose w - 16 = l. Let i(u) = 5*u**2 - 2*u + 1. Calculate the remainder when w is divided by i(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*(sqrt(588)\/(3*sqrt(12) - sqrt(12)))\/(sqrt(112)*2).\nAnswer: sqrt(7)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**4 - 74*b**2 - 6*b + 2913 with respect to b.\nAnswer: 4*b**3 - 148*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 133.929 to the nearest integer.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-5) - 18\/30. Let q(k) be the second derivative of 0*k**3 + 3\/2*k**2 - 1\/4*k**4 - 9*k + r. Factor q(o).\nAnswer: -3*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(175))*4)**2.\nAnswer: -160*sqrt(7) + 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11\/((-44)\/8)*-1. Solve -2*l - 8 = -k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38868?\nAnswer: 2, 3, 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.92 + 15.62. Let u = g - 14.7. Which is the nearest to 0.1? (a) 12 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 25 = 0, 2*w + 10 = -v + 16. What is the second smallest value in -1, -1\/6, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 5*p = -5*j + 25, 8 = j + p for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/(-3) - -3)*-1. Suppose -x - y = -569, -3*x + y + y + 1687 = n. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60567750 divided by 270?\nAnswer: -224325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k + 1. Let r be a(-1). Suppose 72 = -g + r*g. Suppose -2*s + g = s. Calculate the highest common divisor of 4 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 637842.7 and -0.012?\nAnswer: -7654.1124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14828683.\nAnswer: 19, 780457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -26821018 divided by 12?\nAnswer: -13410509\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/18 and 187\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rglglgg. What is prob of sequence rggg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/((-2)\/(-1)) - -2. Let c be (1 - q)*(0 - 12). Suppose -5*j - h + 138 = 2*h, -3*j = 3*h - 78. Calculate the greatest common factor of c and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2187*a - 4966*a + 2291*a to s*a + n and give s.\nAnswer: -488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -35) + 344 + -365?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 33*o**2 - 13 + 9*o**2 - 16.\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l - 14*l**3 + 19*l**3 - 24*l**3 wrt l.\nAnswer: -114*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1536\/320*(-850)\/(-102).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.8131213 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-56665)\/(-56) + (-2)\/(-16) - -4. Let p = b + -1015. Solve 5*w + 25 = 3*x, -7*x + 2*w = -8*x + p for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 642409375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 3:28 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*w = -18, -5*w = 3*d + d + 72. Let y be 4\/d + 16\/234. Let g = 16.5 - 17.5. What is the nearest to -1 in y, 5\/2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/c**(-20))\/c**(-1\/6))**13)**(-33) assuming c is positive.\nAnswer: c**(-19019\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 436 = 14*i. Let x = -83 - i. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/2 + -3)*0. Let a(i) be the second derivative of -1\/4*i**2 + i + 0 + s*i**3 + 1\/24*i**4. Factor a(d).\nAnswer: (d - 1)*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -45? (a) -4 (b) -301 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 7 + 21 + -19\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 7 + 12*i**2 + 6 + 2*i.\nAnswer: 12*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-7237)\/(-9) + (-50)\/45 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4247 is divided by 861.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.048163 rounded to 4 dps?\nAnswer: -0.0482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8544*a + 8546*a = -3*i + 10, 13*a - 5*i = 9*a - i for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + sqrt(432) + -3 + sqrt(432))*-3*-2.\nAnswer: -18 + 216*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -159, 22, 6 in decreasing order.\nAnswer: 22, 6, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) 0.00095 (c) -137\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -2. Let z(s) = -4 + 5 - 1887*s - 1878*s + 3766*s - 1. Let u(g) = -4. Calculate d*u(k) + 2*z(k).\nAnswer: 2*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ky when two letters picked without replacement from kbykfxyyyb?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 7*j - 84. Let z be x(-19). Let f = 698 - z. Is 36 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13275457903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8743079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n = -21*n + 11*n - 225 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 478045096 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: Suppose 8 = -y - 2*y + 4*b, 1 = -y + 3*b. What is the tens digit of y\/6 + (-5080)\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-9) + (-545)\/(-3). Let s = p + -99. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 38, 62, 94, 134, 182?\n\"Answer: 4*v**2 + 12*v + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 0 + 4\/2. Let h(p) be the first derivative of -2*p**3\/3 + 3*p**2 - 8. Let u(v) = 5*v - v - 3*v. What is z*h(a) + 6*u(a)?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (138\/46)\/((9\/15)\/3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = i - 32. Suppose 0 = 5*m - i - 4. Put m, 3\/2, 5 in descending order.\nAnswer: 5, m, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 13*j - 616. Let b be (1 + -5)*9\/(-9). Suppose 0 = 5*h - 5*q - 80, -3*h + 13 = b*q - 0*q. Calculate the greatest common factor of j and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.59 + -10.81. Let c = 1173 + -1162.22. Let w = k - c. Which is smaller: 0.1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -0.5, 3, -0.2, -28699, 9\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-9))\/((-63)\/(-54))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 9*d - 1. Give v(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28688253 to the power of 1\/3, to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11616 and 15360.\nAnswer: 1858560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 5*n = -37, -n = -7*a - 6*n - 19 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38241 + -36837. Does 78 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -0.21.\nAnswer: 4.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -122*0.0347\nAnswer: -4.2334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 22 - 26 + 44 = 38 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 6:27 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65089 + 43*q**2 - 65092 - 62*q**2 - 3*q + 130181.\nAnswer: -19*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 7102\/35 (b) 6 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -t, -5*x + 0*t = t - 13. Sort x, -5, 5 in increasing order.\nAnswer: -5, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37945\/546 + 957\/13. Find the common denominator of -1\/70 and x.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 12:50 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -6. Let j be (10\/(-4))\/((-3)\/(-6)). Let q(y) = 2*y**2 + 7*y - 1. Let z be q(j). What is the highest common factor of c and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36441 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -9*u**2 - 21*u - 10*u + 42*u + u**3 + 5 - 10*u - u**2. Determine f(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8940 is divided by 271.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (11\/10)\/(((-64)\/(-400))\/(2\/(-5)))\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2 + y**2 + 0*y**2 + 1 + 2*y. Suppose 3*q - 9 - 3 = 0. Let k = 2 - q. Determine f(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 453 + -453.21. Is -5\/7 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*c - 110*c = -534. Suppose c*g - 82*g = 0. Find z, given that 1\/10*z**3 - 1\/10*z + g*z**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-9)*f*f**(10\/3)*f)\/(f**(3\/5))**(9\/2))**16)**(29\/5) assuming f is positive.\nAnswer: f**(-37352\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 35 + 0 = 0. Let n(p) = 5*p**2 - p + 2. Let m be n(1). Let j = 10 - m. Solve -j*h - 5*q = -17, -4*h - 4*q + 5 = -g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 6 = -2*t, 4*t + 7 = -l - 8. Factor z**2 - 1 + z**2 - l + 0.\nAnswer: 2*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**8\/560 + b**4\/24 - b**3 + 2. Let f(y) be the third derivative of n(y). Differentiate f(a) with respect to a.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + z - 1. Let n(j) = -j**3 - 3*j**2 + j + 3. Calculate 3*i(k) + n(k).\nAnswer: -k**3 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1090*j**3 - 2 + 1253*j**2 - 3*j + 537*j**3 - 1629*j**3)*(0 + 8 - 3) to n*j**3 + r*j**2 + x + d*j and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 10*q - 6601. Let p = 526 - q. Round p to the nearest ten.\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8737 - -8740. Solve 2*d = -n*g + 7, 6*d - 4*d + 23 = 3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8\/(-36) + (-14172)\/(-108) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 16) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34056 is divided by 3095?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(7)*3 + 5 + 6*(sqrt(7) + 1) + sqrt(28)\/sqrt(4)*5 - (1*sqrt(3969) + sqrt(3969))\/((sqrt(7) - (sqrt(7)*-2*-2 + sqrt(7))) + sqrt(7)).\nAnswer: 11 + 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10 - (210\/6)\/(-7). Let c(s) = -s**3 + 17*s**2 - 16*s + 21. What are the prime factors of c(u)?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -152053 (base 7) to base 9.\nAnswer: -44457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2 - 2*p - 2. Suppose 5*f - 14 = -2*f. Let h(a) = -1 - 3*a - a**f - 3*a**2 - 3. Let j(o) = 6*h(o) - 11*t(o). Determine c, given that j(c) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -221*d*h**3 - 2*d*h + 3340*d*w + d + 6850*h**3*w + 5*h**3 + 2*h**2*w + h + w wrt d.\nAnswer: -221*h**3 - 2*h + 3340*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -54, -168, -342, -582, -894?\nAnswer: -1284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 51*b - 2604. Calculate the remainder when 1838 is divided by i(69).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -84711, -169423, -254137, -338853?\n\"Answer: -j**2 - 84709*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 982.\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -11*m**2 - 4*m + 4. Let l(d) = -d**2 - d + 1. Let g(f) = 4*l(f) - u(f). Let v = -28 + 297. Let k(s) = 133 - v + 2*s + 136. Give k(g(b)).\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 18*o - 105. Let c be l(6). Suppose -5*h - 5*f = -10, 2*h + 3*h + c*f - 6 = 0. Solve -5*z + 20 + h = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3.8 or -0.0035365?\nAnswer: -0.0035365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 4:50 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 2*f - 162, 5*f = -4*s + 401 + 40. Let q = f + 125. Is q a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/11 - ((-32724)\/(-16038) - 2\/9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*l + 480 = -29*l + 10*l. Sort l, 23, -2, -1, 2.\nAnswer: -2, -1, 2, l, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.035 (b) -2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 8155*t + 47553. What is i(-6)?\nAnswer: -1377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 9*w**2 + 20*w - 20. Let x(p) = -9*p**2 - 24*p + 20. What is 5*l(d) + 4*x(d)?\nAnswer: 9*d**2 + 4*d - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 417 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 third biggest value in -3, -0.45955, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028913 rounded to four decimal places?\nAnswer: -0.0289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -972.803 to the nearest 10.\nAnswer: -970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -783893213810.195600099 - -783893250802.66. Let o = k + -36992.6184. Let h = 0.154 + o. Round h to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 793.5, 3\/5, 11, -4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 17 = 11. Let q = -0.53 + 0.62. Put q, x, 0 in ascending order.\nAnswer: x, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-2)\/42*(128 + 0).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**4\/(y**(1\/3)*y*y*y)*(y**(-2))**(2\/125) assuming y is positive.\nAnswer: y**(238\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yvyy when four letters picked without replacement from {v: 4, y: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*s**4 - 384*s**3\/5 - 902*s**2\/5 + 384*s\/5 - 8\/5 = 0. Calculate s.\nAnswer: -1, 2\/91, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 3:14 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -132014330 - 3?\nAnswer: -132014333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 41551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 38*s**2 + 73*s + 46. What is o(36)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53685, -214683, -483021, -858705, -1341741, -1932135, -2629893?\nAnswer: -3435021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17\/3, 0.2, -2, 0.31, -0.1.\nAnswer: -2, -0.1, 0.2, 0.31, 17\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (1 + 0 - -12) + -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -303232322 (base 4) to base 10.\nAnswer: -211898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5326192 + 30273808. Round o to the nearest 1000000.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millimeter in micrometers?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/((-1672)\/(-16)))\/((-8)\/(-2)*(-1)\/6)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**3*v**5 + 72745*n**3*v**4 + n**3*v**2 - 1061025*n**3 - 2*n**2 - 3*n*v**2 - v**2 wrt v?\nAnswer: 120*n**3*v**2 + 1745880*n**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -160 or -172?\nAnswer: -160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -95 greater than or equal to -0.144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9873.27cm?\nAnswer: 98732700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 0.001582\nAnswer: -0.003164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-25)\/(-5) - (-4 - (4 + -13)). Solve y = 2*p - 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 is divided by (-2 - -9 - 6)\/(0 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 483, 4, 5, -1, 17, 2 in descending order.\nAnswer: 483, 17, 5, 4, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o\/o**(1\/2)))\/(o**(-2\/3)*o) assuming o is positive.\nAnswer: o**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 30*v**3 - 119*v**2 - 5*v - 9. Give x(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 13.54531ml?\nAnswer: 0.01354531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-573 + 593)\/(((-34)\/8 - -4)*(-5)\/4)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 51153.\nAnswer: -8\/51153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 24 = -2*n. Suppose -5*w - 5 = -n*d, 5*d + 3 + 0 = -3*w. Let g(r) = -r + 23. Let k be g(13). Which is the nearest to w? (a) k (b) 0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 9:06 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -8*c**2 - 143*c - 20. What is q(-19)?\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3374?\nAnswer: 2, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 21560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1244.28962 to 1 decimal place.\nAnswer: 1244.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*y + 7126 - 7126)*(8*y**2 + 2*y**2 + 7*y**2) as i*y**2 + a*y + z + r*y**3 and give r.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 0.2, 0.3, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/9, -11, -18\/13 in ascending order.\nAnswer: -11, -18\/13, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*k - 6*k + 5*k - 6*k + 2*k + k + (3 + 2 - 6)*(-2*k + 2*k - 2*k) to d + t*k and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2)\/z)**(2\/47)*(z\/z**(-8\/3)*z)\/z*(z**(-2\/13)*z)\/z)**(-21) assuming z is positive.\nAnswer: z**(-43435\/611)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80 - -76. Which is smaller: 4\/7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29826552 greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-41643)\/(-28) - (-8)\/(-32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*u = 2*w + 22, -3*u = 2*w - 22. Calculate the greatest common factor of w and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6704 and 21405.\nAnswer: 143499120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 376\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.02 + -0.01924. Round b to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k**2 + 29*k - 1. Let f be p(-6). Solve 12 = f*g - 13 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34458596 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4636?\nAnswer: 2, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -15*i - 90. Let q be h(-24). Let t = q + -258. Solve 4*v + t = -p, -22 = 2*v - 2*p - 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -17*t - 21. Is n(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, -12601, 1.5, 3, 2\/35?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 86, 90, 94, 98, 102?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 40. Let z = 20736 - 20682. Calculate the highest common factor of j and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 0. Suppose 0 = 3*f - f - 8. Let l = j - f. Sort -5, l, 1 in ascending order.\nAnswer: -5, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mqkkqkamqmqmkakak. What is prob of sequence qmqq?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 2*m**2 + m + 2. Let u be d(2). Let f(z) be the second derivative of z**5\/20 - z**4\/4 - z**3\/2 + 2*z**2 + 2*z - 74. Calculate f(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 7*r**2\/2 + 6. Is h(3) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3\/5 (b) 16 (c) 698982\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1318 - 1319. What is the nearest to -0.1 in 2\/17, 2, k, -6?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6*n**2 + 8*n - 7. Let u(k) = -5*k**2 + 5*k - 6. Give 4*u(b) - 3*z(b).\nAnswer: -2*b**2 - 4*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**2 + 329*w + 480. What is l(-110)?\nAnswer: 590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + 2 + -28 + (18 - 2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 3)\/(2\/(-60)). Suppose -4*h - 2*g + t = 0, 50 = 4*h - g - g. What is the lowest common multiple of h and 16 + 0 - (-2 - (1 + -10))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*t - 3*t = -3, 5*a + 5*t = -10. Let y(c) = -146*c**3 + c**2 + c. Is y(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - -21. Suppose -2*d + d - a = -3*g, 4*d = 2*g - 16. Let i(y) = -g*y - 10*y**3 + 7*y**2 + 2*y + 5 + 9*y**3. What is i(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -3\/5 (b) 2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*x - 1. Let z be 1 + -1 + (-2)\/x. Let h be z\/(-7) - 14\/(-49). Solve h*d - d = 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2414.\nAnswer: 2, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 13*u**3 + 33*u**2. Let n(y) = -25*y**3 - 67*y**2. Let w(a) = -6*n(a) - 11*o(a). Find the third derivative of w(g) wrt g.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 866.\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6994708 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 12*d - 5. Let c be l(-7). Let y = 565 + 675. What are the prime factors of 6\/9 + y\/c?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-20) + 0 + 391\/(-4). Let j = 56 + u. Which is bigger: -43 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -69202\/9 + 7687. Calculate the common denominator of c and 57\/4925.\nAnswer: 44325","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1175678*5.\nAnswer: 5878390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05445 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 9 = 3*i, -i - 3*c + 6 = i. Let k(f) = 2*f - 4. Let u be k(i). Determine h so that -9\/2*h + 0 - 3\/2*h**3 + 6*h**u = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n - 2 + 892*n**2 - 220*n**2 + 282*n**2 - n**3 to b*n**2 + x*n**3 + s*n + k and give b.\nAnswer: 954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 1259*n - 2305. Calculate the remainder when f(4) is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.739473584 to three dps.\nAnswer: -0.739","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 214 + -211. Solve o*d + 5 = -1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 293*b - 161*b - 135*b + 20*b**3 to t*b + k + x*b**3 + a*b**2 and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60*i**3 + 15*i**2 + 6009*i?\nAnswer: -360*i + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 181, 386, 611, 862, 1145, 1466, 1831?\nAnswer: 2246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -189463 - -274728. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-21))\/(22\/(-77)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36152?\nAnswer: 2, 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117, 116, 115?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 133842 or 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -141470 times -1\nAnswer: 141470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 461*a + 180 = 481*a. Suppose -5*o + 8*o - 21 = 0. Suppose 0 = -o*r - 5 - 2. Put -2, a, r, -4 in ascending order.\nAnswer: -4, -2, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 75 = 135. Let r = 119 + w. Calculate the remainder when r is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3721773*b*q**4 - 3635254*b*q - b wrt q?\nAnswer: 44661276*b*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 248, 459, 762, 1181, 1740, 2463, 3374?\nAnswer: 4497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 606\/1212*0\/(-2). Let a(y) be the third derivative of 35*y**2 + 0*y + 0 + 0*y**3 + 1\/60*y**6 + x*y**4 + 1\/15*y**5. Factor a(p).\nAnswer: 2*p**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 484*t + 384*t - 954*t + (3*t + 2*t - 7*t)*(3 - 4 + 3) to the form c*t + s and give c.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 93257a (base 12) to base 10\nAnswer: 2305966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 99078*x + 87379*x - 176586*x as t*x + c and give t.\nAnswer: 9871","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53 + -9. What is the remainder when 169 is divided by b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + z + 1492. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s + 54. Let u be z(7). Let c be (12 + (1 - 2))*19\/u. Suppose 5*a = 7*b - c*b + 19021, b - 4*a = 4771. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116267321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 628?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 505*f - 4441. Give w(7).\nAnswer: -906","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69906357 to the nearest integer?\nAnswer: 8361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -4\/15*l**6 + 0*l - 11\/8*l**4 + 0*l**3 + 0*l**5 + 23*l**2 + 0. What is the second derivative of n(c) wrt c?\nAnswer: -192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4822 minus 17901195?\nAnswer: -17906017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 10*x = 0. Which is the closest to x? (a) 3 (b) -1.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.03 - 0.23. Sort -3, 0.4, -5, f in increasing order.\nAnswer: -5, -3, f, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30552607+1\nAnswer: 30552608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5676 and 56716.\nAnswer: 7316364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -317454\/65 - -4884. What is the common denominator of 58\/275 and y?\nAnswer: 3575","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-54))\/((-191)\/955*(-40)\/(-72))?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 8:58 AM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 6, 0.024, 96, -0.5?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 1434?\nAnswer: 1433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 196 - -73. Suppose 2*y - z = -79. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40\/260*(1320\/352)\/(10\/12)\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a5a671 - 7?\nAnswer: a5a668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/30)\/(((-40)\/12)\/(-10))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 6 - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417*l = -3646*l - 138847 for l.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (6\/(-18))\/((-7)\/(-231))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-25)\/(-6) + (-6)\/36\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -1. Suppose -17*w - 294 = -3*w. Let i be (1 - 1)\/(22 + w). Solve -j*n + n - 15 = y, i = 2*n - 3*y + 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-28) + (-36)\/7. What is the fourth biggest value in 1, 4, l, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 1\/2*l**2 - 23 - 9*l. Calculate k(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -442 + 1?\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/5*(-61)\/2562.\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -119 + 38 + 48 + 57?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*c = 3. Let h be c\/6 + (-27)\/(-2). Suppose 0 = r - h - 6. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyausbc. Give prob of sequence uac.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(2\/5)*g)\/g*g**7)\/(g*g\/g**1)**22 assuming g is positive.\nAnswer: g**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/616 and 83\/1232.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (32 + -19 - 3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, l: 1, y: 2, j: 1, i: 1}. Give prob of picking 1 i and 1 y.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = b - 3. Let t = 13 + b. Solve t*i + 7 = 17 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 801709.\nAnswer: 801709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -2*s - 5. Suppose 4*i = k - 17, -3*k - 4*i - s = -3*i. Solve 5*q + k = -4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 15265740*m - 15265780*m + 2.\nAnswer: -40*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = v - 6, 2*v + 28 = 6*v - 5*w. Let n = 5.1 - 1.1. Which is the third biggest value? (a) -2 (b) n (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -143*o - 15727. Determine i(-110).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1325, 5176, 11559, 20468, 31897, 45840, 62291, 81244?\nAnswer: 102693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/(-4))\/((-7)\/14) - 2. Suppose 0 = n*a + 7 - 28. Let o(c) = -c**2 + c + 2. Give o(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = o - 1, -104*o + 108*o = -36 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z + 12. Let d be u(-9). Suppose t - 2*f = d, -3 = 3*f - 0*f. Which is the biggest value? (a) t (b) 2 (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2 - 146 = 4*q, 8 = -2*t. Let a = q + 33. Is a > 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.4 + -2124.6902\nAnswer: -2120.2902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*z = 284, 0 = 4*v + 4*z - 119 - 101. What is the smallest common multiple of v and 22?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1161344*h**3 - 2322704*h**3 + 1161346*h**3.\nAnswer: -14*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x - 26. Let n = 17 + -17. Let y = n + -6. What is the units digit of t(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 474a (base 11) to base 8.\nAnswer: 14121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -90a75 + -41?\nAnswer: -90ab6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 54, -4\/3, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 430409881289 and 5.\nAnswer: 430409881294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13322000310 (base 4) in base 8?\nAnswer: 7720064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*q*u**4 + q*u**3 + 2*q*u**2 + 20607*u**4 + 12484*u**2 - 77 wrt u?\nAnswer: 72*q*u + 6*q + 494568*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 148 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/72*6)\/(28\/6)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*p**3 + 37584*p**2 + 18798*p + 2350.\nAnswer: -2*(p - 1175)*(4*p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h**3 + 6*h**3 + 6*h**3.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*b*h*t*y**3 - 5*b*h*t + b*h*y**2 + 2*b*h + b*t*y**3 - 2*b + 3*t*y**3 wrt y?\nAnswer: -72*b*h*t + 6*b*t + 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 99705, 99704, 99703, 99702?\n\"Answer: -f + 99706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 73286 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 z(s) be the third derivative of 11*s**5\/10 - s**4\/24 - 2*s**3\/3 + 3*s**2. Is z(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3366, 3362, 3358, 3354, 3350, 3346?\n\"Answer: -4*k + 3370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3 = 1. Let d be 4*g\/(-104)*2. Which is bigger: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2058*s + 2046*s - 432 for s.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 6. Let q(m) = 0*m**2 + 5*m**2 - s*m**2. Let f(g) = 4*g**2. What is f(q(c))?\nAnswer: 16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -1) + 7 - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -44655, -178622, -401901, -714492, -1116395, -1607610?\n\"Answer: -44656*y**2 + y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.00000027 + 10. Round s to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -140934556 + 3101171157\/22. Let l = q - 27774. What is the common denominator of l and 21\/(-20) + 1 - -1?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 0, 1, -1790, 3 in descending order.\nAnswer: 3, 1, 0, -3, -5, -1790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -63671210 divided by 3?\nAnswer: -63671210\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + (-2 - (-22 + 26))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45878 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**5\/60 - m**4\/4 - 31*m**2. Calculate a(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34953719071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*k**3*t**2 + 2057*k**3 - 1830*k**2*t**2 - 2*k**2*t - 4*k*t**3 + 5 wrt t.\nAnswer: 36*k**3 - 3660*k**2 - 24*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*1*(-133)\/7. Suppose -3*z + 17 + n = 0. Suppose 15 = -4*g - 3*k + 4*k, -5*g - z = k. Which is smaller: g or 2\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -48*h**2 + 5*h - 4. Let z = -7799 - -7800. Determine c(z).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 8049999*z**2 + 4. Let t = 22 - 20. Let d be u(t). What is d rounded to the nearest 1000000?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2979139 is divided by 1227.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 6*j**3 + 4*j + 0*j + 0*j**3 - 5*j**3 - 3 - j**2. What is the remainder when 26 is divided by w(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(77)*-2 - ((sqrt(77) - sqrt(77)*-1)*4 - sqrt(77)))\/(sqrt(14)\/(-1*sqrt(2)*2)).\nAnswer: -30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 134709 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 229965374?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -369, -731, -1091, -1449?\n\"Answer: h**2 - 365*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2 - 15*f + 1. Determine j(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m + 18. Let z be f(-9). Let n be (-61000)\/(z - 2\/200). Round n to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 528706267 to the nearest integer?\nAnswer: 22994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 44 + 59b?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17bb + -5?\nAnswer: 17b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w + 238 = -s + 634, -9*s = -2*w - 0 - 15 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-21)\/((x**(-30)*x)\/x))\/(((x*x**4*x)\/x)\/x**(-32)) assuming x is positive.\nAnswer: x**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: dd (base 16) to base 4\nAnswer: 3131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1599 - 404b?\nAnswer: -2672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2\/9*a**5 + 4\/9*a**4 - 4\/9*a**2 - 2\/9*a + 0*a**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 0)*(-8*j + 2*j + 0*j)*(-4 - 63 - 20)*(-1 + 3 + 0) in the form k*j + d and give k.\nAnswer: 2088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1541 = -b - 3*y + 146, -3*b + 5069 = 5*y. Suppose -4*k - 88 = 2*t - 1778, b = 4*k + 5*t. List the prime factors of k.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 123274*o**4*r**2 + 1903*o**4 - 123*r**2 + 187466*r wrt o?\nAnswer: 493096*o**3*r**2 + 7612*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-4 + 5)) + -2 + 7 + -2 + 6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 527\/26 + -287\/26. Let k = -10967634\/65 + 168724. Let n = k + z. Which is bigger: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*y - 27, -2*y - 3*d + 21 - 3 = 0. Let x(o) = -o**2 + 9*o + 5. Give x(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5017328.\nAnswer: 2, 313583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11104404214 - 10?\nAnswer: 11104404204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -191, -184, -201, -260, -379, -576?\n\"Answer: -3*z**3 + 6*z**2 + 10*z - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 5, 2, 2\/3109?\nAnswer: 2\/3109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-46 + 5 - (12 - 15)) + 4?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26559?\nAnswer: 3, 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 7 - 4*f - 4*f + f. Let y(o) = o - 12. Let v be y(15). Suppose v*l = -u + 15, -3*l - u - 2*u + 15 = 0. Let x(m) = -20*m + 20. Give l*x(z) - 14*p(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 + d?\nAnswer: 1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.32, -105 in ascending order.\nAnswer: -105, -0.32, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (67*r**4 + 14*r**4 + 47*r**4)*(-29 - 30 + 40) + 2*r**4 + r**3 - r**3 in the form p*r**2 + u*r + z + f*r**4 + s*r**3 and give f.\nAnswer: -2430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*n - 7*n + 2140. Let t be (-1)\/((-210)\/n) - -1. Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.8, -2\/17, -3, 27, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2082317 = -2246*y + 2299*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 675*d - 7389 + 26865 + 4824 = 0 for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1 (b) -0.4 (c) 0.5 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000108493 rounded to six dps?\nAnswer: 0.000108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 1020111021121122?\nAnswer: 1020111021121110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -4 - (9 - 5)) + 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 489 = 3*q + 491, -q = a - 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37289 or -37287?\nAnswer: -37289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*m**3 + 65*m**3 + 58*m**3 + 2*m**2 + 4*m - 4*m.\nAnswer: 19*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1751 + -1747. Which is the second smallest value? (a) -0.32 (b) 0.4 (c) -4 (d) j (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3427*r + 5. Let x(c) = -82*c**2 - 2*c + 27. Calculate s(x(d)).\nAnswer: 281014*d**2 + 6854*d - 92524","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 12 = 4*j, 148*j + 9 = 145*j + 2*f for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3703, -11, 3, 5.\nAnswer: -3703, -11, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24\/79 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1018, 2038, 3056, 4072, 5086, 6098, 7108?\n\"Answer: -q**2 + 1023*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(54) + sqrt(54)*2) - (sqrt(3456) + (sqrt(3456) - 1*sqrt(3456))))\/(sqrt(12)\/(sqrt(4) - 3*sqrt(144))))**2.\nAnswer: 20808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 565 = -6*s + s, -198 = -2*s - 5*l. What is s rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*k - 180 = -0*t, 10 = 2*k. Suppose 0*g = -2*v - 4*g + t, -4*v = -3*g - 9. Is 5 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 43, 4, -2, 5, 12, -1 in ascending order.\nAnswer: -6, -2, -1, 4, 5, 12, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -457 - -457. Let a = -3 + 12. Suppose f = 15*o - a*o - 102. Calculate the highest common divisor of 51 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 7*v + 6*v)*(-1 - 2*v + 1)*(4*v**3 - 4*v**3 - 2*v**3).\nAnswer: -12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149051 is divided by 29474?\nAnswer: 1681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/153 + -158\/765. Let s be (4\/(-6))\/((-2)\/3). Which is bigger: s or m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 454387?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 9*r - 5*r. Calculate the smallest common multiple of (-91)\/(-7) + -2 + -1 and r.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 48*v. Let a(b) = 432721*b. What is o(a(f))?\nAnswer: 20770608*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**3 + 1 + 2*c + 1 + 2 - 3 - 4*c**2 as q*c**2 + d*c**3 + o*c + i and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5826672*m - 5135869?\nAnswer: -5826672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b + -1b0f28?\nAnswer: -1b0f33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**3 + 5*y - 5. Let a be n(1). Let m(g) = g**2 - 5*g. Let c be m(5). Find the first derivative of -16 - 2 + c*r**a + 3*r**3 wrt r.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/(-15))\/((-3)\/5*4480\/576).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 11*x**2 + 98*x + 3. Let l be p(-9). Solve l = 8*r - 5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 111459*i**2*j**2 + 27365*i**2 - 2*i*j wrt j.\nAnswer: 222918*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -9\/93467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -28242, -56493, -84752, -113019, -141294, -169577, -197868?\n\"Answer: -4*n**2 - 28239*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.498271kg to grams.\nAnswer: 498.271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 557*b**2*n**3 + b**2*n**2 + 2*b**2*n - b**2 - 253*b*n**3 + n**3 + 3600*n**2 + 12 wrt n?\nAnswer: 3342*b**2 - 1518*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8530059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2888 and 3584?\nAnswer: 1293824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a minute in seconds?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 254*z**2 + 327*z - 47357. Give q(-256).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 345\/6*16\/(-20). Let g be c\/(-6) - (-2)\/(-3). Suppose 0 = -2*x - h - 5, h - 3*h - g = 3*x. Is -5 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*3 + sqrt(171))*-2 - -3*sqrt(171)*-1)\/(4*(sqrt(225) + sqrt(225)*-2 + -2*sqrt(81))).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -126.\nAnswer: -5\/126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 6*f - 3*f + f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -8*i + 13*i**2 - 14*i**2 + 7*i + 4. Let r(x) = 2*x**2 + x - 5. Give 4*h(p) + 3*r(p).\nAnswer: 2*p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -231 + -1?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4 + 1 - 5 + 2*x. Let r(y) = 5*y**2. What is r(j(n))?\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 19. Let y = f - 8. What is the units digit of 7 - (y + 2 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 3*k**2\/2 + 1. Let v(h) be the first derivative of -h**2 - 6. What is v(r(f))?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2009\/352, -4, 0.\nAnswer: -4, 0, 2009\/352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16216 = 5112*w + 397856 for w.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-22)\/(-18) - 76\/(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, d: 6, g: 3}. Give prob of sequence dodo.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3446625 and 4935.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403 is divided by 133.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10025 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (-874)\/30 - 6\/45\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**7\/126 + k**6\/30 + k**5\/60 - k**4\/12 - k**3\/9 - 27*k. Factor h(w).\nAnswer: w*(w - 1)*(w + 1)**2*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1357*t + 2840*t + 1 + 2501*t.\nAnswer: 3984*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**3 + 7*u**2 + 11*u + 5. Let y(o) = -5*o**2 + 4*o**2 + 10*o + 3 + 4*o**2 - 2*o**3 + 1 + 3*o**2. Determine -6*n(w) + 7*y(w).\nAnswer: -2*w**3 + 4*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 2 + 10 + 9 - 13*h.\nAnswer: -13*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a milligram in micrograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 90984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 1, o: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 18. Let g(y) = -3*y - 15. Let r be g(-7). Let u(h) = h**3 - 6*h**2. Let f be u(r). Solve n + f + d = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15992 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111 and 21756?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 <= 1021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -8221\nAnswer: 2\/8221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 5:58 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/12 and 49\/13988.\nAnswer: 41964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 102741378 plus 17848?\nAnswer: 102759226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/12 (b) 4 (c) 0.3 (d) -0.3 (e) 20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -83*m + 29. Let y(q) = -91*q + 27. Give 7*d(g) - 6*y(g).\nAnswer: -35*g + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118319661?\nAnswer: 3, 661, 19889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - -28 - 99\/8.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/518 and 35\/341?\nAnswer: 176638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 619237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*y = -27, 3*w = w + 2*y - 22. Let z = -1 - w. Solve m - 1 = -4*b, z*b + 10 = 4*b - 4*m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o - 14. Let r be p(11). Let d be r\/(-54)*3\/2. What is the units digit of 5 + d + (1 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4313.5983 + -0.33651.\nAnswer: 4313.26179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 9*z = 3*v + 5, 2*z - 13 = -v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 31*k**2 + 412*k + 87. Let j be o(-41). Let p = 2 + 2. Solve 4*v = -p*h + 20, -v = h - j*v - 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + 3. Let x be k(6). Let g be x\/(23\/(-10) + 2). List the prime factors of (5\/(g\/(-16)))\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.48 - -0.22. Let o = 3 - j. Let x = -8 - -13. Which is the third smallest value? (a) -3 (b) o (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -7*f - 2. Let m be d(-1). Suppose -638 - 112 = -m*y. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1*-99\nAnswer: 108.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**3 - 5*i**3 + 2*i**3)*(0 + 0 + 3)*(49 + 55 - 105).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 976 by -12375.\nAnswer: -976\/12375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2264, -4527, -6790, -9053, -11316?\nAnswer: -13579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*r + 355303 = 367726 for r.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3.182*0.5\nAnswer: -1.591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -6*l + 32 + 27*l + 0*l + 15*l - 176. Give h(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -5\/3 (c) 0.049 (d) 87\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 798 + -470. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21408 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29242 divided by -31.\nAnswer: -29242\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50052*k**2 - 62156*k?\nAnswer: -100104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 11102 (base 3) to base 14\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4037*a = 4092*a - 990. Suppose -4*x - 376 = -2*c, x - 408 = -2*c - 3*x. Calculate the remainder when c is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -68700*d + 69 - 147 - 22. Let v be h(7). Round v to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**2\/15 - 181254544*z\/15 - 4106651215080992\/15 = 0. What is z?\nAnswer: -45313636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2087 take away 1.003?\nAnswer: -2088.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 24, 44, 70?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -110*z**3 + 3*z + 26. List the prime factors of m(-3).\nAnswer: 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z + 18*z + 21 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -233*n**2 - 766*n**2 + 2 - 2 - 254*n**2 as c*n**2 + g + f*n and give c.\nAnswer: -1253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*c = 8*p - 7, -5*c = -4*p + 31. Solve -3*s - 4*u = -4, p*s - 23*u + 2 = -21*u for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22201 (base 3) to base 13\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177 + 20*w - 175 + 9*w**2 + 2*w**2 + 13*w.\nAnswer: 11*w**2 + 33*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + 3 + -2)**2.\nAnswer: 10*sqrt(3) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pa when two letters picked without replacement from aackcaacccpcscsk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1315300 to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 88 + 6 = 3*k, 2*o = -k + 37. Suppose 0 = q + 2*q - 4*w - 150, -5*q = -w - 250. What is the remainder when q is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - 5*u**2 + 4*u**2 + (u - 2*u - u)*(0*u - 4*u + 5*u))*(-917*u**3 - 346*u**3 + 181*u**3).\nAnswer: 1082*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1888405 (base 11) to base 7.\nAnswer: -36046100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y + 453 = 133. Let t(b) = -b**3 + b**2 - 4. Let v be t(0). Let j = v - y. Solve 6*c = 3*c - j for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/375 and 9\/1675.\nAnswer: 25125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11314785 or 7?\nAnswer: -11314785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 235 and 188?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - w**2 + w + 5. Let y(b) = 2*b**3 + 162*b**2 - 4*b + 29. Let n(i) = 4*d(i) + y(i). Differentiate n(q) with respect to q.\nAnswer: -6*q**2 + 316*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-8))\/((-2)\/(-24720)). What is t rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36378)\/(-66693))\/(14\/(-11))*(-28)\/510?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 4182?\nAnswer: -1\/1394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*t + 584*t - 192*t - 192*t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*c + 71*c - 29*c - 710 = 0 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fpp when three letters picked without replacement from {f: 4, j: 9, a: 2, p: 4}.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 + 15. Let c = 27 + b. Is 11 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b299 + a?\nAnswer: -1b28b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 3*k = 60. List the prime factors of (-636)\/k + 18\/45.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 11:10 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-4))\/(k\/(k\/(k**(-1\/9)*k))*k)*(k\/k**(-3))\/k**5)**(1\/38) assuming k is positive.\nAnswer: k**(1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**5 + 2*a - 2*a + (-1 + a + 1)*(-a**4 + 4*a**4 - a**4) + 1 + 2*a**5 - 1 - 2*a**5 + 5*a**5 + 2*a**5.\nAnswer: 8*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31440, 125614, 282570, 502308, 784828, 1130130?\nAnswer: 1538214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1658, -3240, -4822, -6404?\nAnswer: -7986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 174 = 2*g - k, -2*g = 4*k - 170. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 divided by -1?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -40.4743.\nAnswer: 16.18972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 322, -3, -186, 1, 2, 3.\nAnswer: -186, -3, 1, 2, 3, 4, 322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 4*s + 2*s)*(s**4 + 0*s**4 - 2*s**4 - 4*s**4 - s**4 + 6*s**4 + (-3*s**4 + 2*s**4 + 3*s**4)*(0 + 2 - 4) - 394*s**4 + 10 - 10).\nAnswer: -2786*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 157981 * 4.\nAnswer: 631924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32\/11*i**2 + 2\/11*i**3 + 0 + 128\/11*i.\nAnswer: 2*i*(i + 8)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 + -36. What is the remainder when (-45 + -2)\/(-1 - 0) is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 4:57 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*c + 40, 0 = 12*c - 15*c + 3*d + 39. Solve 0 = c*q - 2976 + 2955 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/5 - 16\/120*-27. Factor -99*f**o - 2*f**4 + 208*f**3 - 105*f**3 - 2*f**2.\nAnswer: -2*f**2*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9264032*o**4 - 18000402*o**2.\nAnswer: 222336768*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5282899*i**3 + 19*i**2 - 165216381*i - 2?\nAnswer: 31697394*i + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007756158 rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44)\/sqrt(32))\/(sqrt(11) - sqrt(704)) + (sqrt(144)\/(2*sqrt(8) + sqrt(8) - sqrt(8)))\/(sqrt(1296) - sqrt(1296)*-2))*-2.\nAnswer: 11*sqrt(2)\/252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*(sqrt(2057) - (1 + -1*sqrt(2057) - sqrt(2057)))*1)**2*2.\nAnswer: -3168*sqrt(17) + 888672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 = 3*t - v, 0 = -11*t + 16*t + 2*v - 356. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -83, -99, -117, -137, -159?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 6) to base 2.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1009516 + 534*z + 1009516.\nAnswer: 534*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 + 4*v - 4*v)*(5 - 3 - 4) + v**3 + v**3 + 0*v**3 + (-v**2 + 4 - 4)*(2*v + 2 - 2).\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, i: 3}. Give prob of picking 2 l.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 4. Let k be l(3). Let u = 778 + -5445\/7. Which is the closest to 1? (a) 0.06 (b) u (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*x + 2*j + 52, j + 47 = 2*x. Let v = 193 - x. What are the prime factors of v?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-2 - (1 + -1)). Let p be (-3)\/20 - 1\/i. Suppose 104 = -36*o + 104. Put -5, o, p in decreasing order.\nAnswer: o, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -112 and -1062377.\nAnswer: -1062489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 499 - 4489\/9. What is the nearest to n in 4, 1\/8, -1\/7, -1\/3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 400 - 400.225. Let d = 0.325 + t. What is the nearest to 1\/4 in d, 4, -11\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-44)\/(-2584) - (-20)\/(-190). Which is smaller: u or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32890*d**2 + 2*d + 96794.\nAnswer: 65780*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93966137.\nAnswer: 41, 43, 53299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -499 + 504. Solve 2*v + j + 5 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 3*i - 6*i)*((0 + 2 - 5)*(-1 + 0 - 1) + 1 + 6 - 1)*(-5*i + i + 3*i).\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22284350731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**3 + 235413*n**2 + 250303*n**2 - 485716*n**2.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 15*q + 52. Let w be g(15). Let b = 38 + w. What is the second derivative of -62*x**3 - 22*x + b*x**3 + 0 + 0 wrt x?\nAnswer: 168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1625.7 and 370?\nAnswer: -601509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12033 - 334?\nAnswer: 11366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23023*b - 23136*b - 4633 for b.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) - (-3 + 2*sqrt(125))) + -3)**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 59.92 to the nearest integer.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 3*l - 255 + 33, 2*x = -5*l + 356. Calculate the highest common divisor of 22645 and l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78240\/1635216)\/(2\/11)?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.986723g to micrograms.\nAnswer: 1986723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*j - 14*j - 82 = 0. Let n = 21\/10 + -17\/10. Factor 2\/5*w**j + 2\/5*w - 2\/5*w**3 - n.\nAnswer: -2*(w - 1)**2*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -738*p - 31320 = -185*p + 491*p for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/6 and 115\/10368.\nAnswer: 10368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2. Let k(u) = -18*u**2 + 6*u**2 + 4*u**2 + 3*u**2. Calculate k(b(z)).\nAnswer: -20*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 1587228117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, l: 9}. Give prob of picking 3 s.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.042 * 6\nAnswer: 0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1746.53 less than -36.7362?\nAnswer: -1783.2662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -2*g + 40. Let k = g - -12. Solve 0 = -k*b - 0*b - 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 111944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -28 - 17. What is the highest common factor of 36 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -242 and 4.267?\nAnswer: -1032.614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293529972?\nAnswer: 2, 3, 24460831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -213764105.2 to the nearest 1000000.\nAnswer: -214000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 498*a**3 - 29*a**2 + 203*a + 107. Is v(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 2*v + 240. Is (2 + 3)*(-28932)\/v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1026\/(-1539))\/(((-74)\/6)\/((-8)\/(-8)))?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-24)*8*(-2)\/(-84)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 269411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1194 divided by -6\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 30*r + 8. Suppose -4*x + 47 = 2*o - 29, -2*o = -4*x - 36. Suppose -5*i - 10 = 0, 5*i + 11 = -3*u + o. Is h(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4265332117?\nAnswer: 9697, 439861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1036814 to the power of 1\/2, to the nearest integer?\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2410361 + -2.5?\nAnswer: -2410363.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p**2\/9 + 506650714*p\/9 - 144757348\/9 = 0.\nAnswer: -36189337, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 12. Let y be r(-18). Is (y - -1)\/((-13)\/247) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108285 at most 104290?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5919*-3.\nAnswer: 17757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 4*t. Let m be p(-6). Let c = 17 + m. Solve 3*o = 4*q - 7 + 2, 30 = c*o + q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -3*n - 52, 4*n - 9338 = -2*a - 9388 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6 - 2)*(141 + -144).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 135*v - 3385. What is the remainder when g(26) is divided by 70?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-160)\/(-20) - (0 - 3). Let h = x + 2. Suppose -5*b + 0*b + 325 = 0. Calculate the greatest common divisor of h and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4433.\nAnswer: 11, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7)*z**3)**(-22) assuming z is positive.\nAnswer: z**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 2:45 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3351, -3365, -3389, -3423, -3467?\n\"Answer: -5*j**2 + j - 3347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*t = -13, 29*n + 4*t - 2 = 27*n. Find u, given that -3\/4 - 3\/4*u + 3\/4*u**2 + 3\/4*u**n = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1.9 (b) 0.4 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2069 - -2019. Let f = -54 - -107. Let d = h + f. Is 2\/11 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, h: 3, y: 1, b: 2, c: 2, f: 7}. What is prob of sequence pcb?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -16, 5, 4, -1 in ascending order.\nAnswer: -16, -4, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 times 0.2201?\nAnswer: 27.2924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (80 + 4896*t**2 - 80 + 342*t**2)*(3*t - 3*t + 2*t)*(-4 + 3 + 5)*(-1 + 1 + 3*t) to the form l*t**2 + h*t + m + o*t**3 + f*t**4 and give f.\nAnswer: 125712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 20\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1385119438.\nAnswer: 2, 17, 83, 490829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 9*r + 11. Let p = -9 + 17. Let v be c(p). Suppose -d = -2*d + v. Calculate the greatest common factor of d and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 747023 equal to 747023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -139807*n**3 - 80*n - 535 wrt n?\nAnswer: -838842*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)*-2*2*-3)\/(sqrt(36)\/(sqrt(432)*-1)).\nAnswer: -72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 227 (b) 0 (c) -0.5 (d) 0.2 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -9*p - 87. Let l be x(-10). Let y = 4 + -1. Calculate the greatest common divisor of l and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -181*k**2 + 58*k**2 - 5*k + 127*k**2 to the form v*k + q*k**2 + c and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59458529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-270)\/(-33) - (3 - (-62)\/(-22)). Let x(p) = -p + 5 + 6 - 8. Calculate x(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5*l**3 + 4*l**2 - 5*l - 4. Let c(j) = -6*j**3 + 4*j**2 - 5*j - 4. Let m(h) = -6*c(h) + 7*s(h). Give m(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7 + 5 + 1 - 1 - 21*c. Let i be q(-3). Suppose 0 = -9*x + i + 65. Calculate the lowest common multiple of x and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23806261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2 + 63*f - 296. Let w be h(6). Solve 0 = 1325*a - 1330*a - w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5701405 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1990120823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 2908 divide 2109925572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -24. Let t = x - -23. Suppose -t*a - 23 = -5. Is 1 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 32077872, 32077878, 32077896, 32077932, 32077992?\n\"Answer: b**3 - b + 32077872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, o: 6}. Give prob of sequence ococ.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006229581 rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 2201012210200?\nAnswer: -2201012210200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-35)\/(-10)*1)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 146, 620, 1410, 2516, 3938?\n\"Answer: 158*p**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(3\/4))**(7\/13)*r**(-1\/13)*(r*r*r\/(r*(r*r*r**(-9\/4)*r*r)\/r))\/r)**(3\/2) assuming r is positive.\nAnswer: r**(45\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19360 and 897600?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -2)\/(-1 + 2). Let y = 1419\/13 + -109. Which is the nearest to 2\/5? (a) -4 (b) y (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s + s**2 - 4*s - s - 4. Let j be z(6). Suppose j = -u + 2*u. Solve i = -i + u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39201182689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2598*t = -1447*t + 186070 for t.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -373*k + 42521. Give v(114).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87752 divided by -3134.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4*q - 32 + 9, 3*p = -2*q + 13. Suppose 2*v + 0 = q. Let w = -13 - -34\/3. What is the closest to 1 in 4, v, w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + j - 1. Let a(y) be the first derivative of -y**4\/4 - y**3\/3 + y**2\/2 - 9. Calculate a(i) - g(i).\nAnswer: -i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.04 + 0.36. Let m = -1.96 + -0.04. Let t = m + 1.7. What is the smallest value in -1\/7, t, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14567 divided by 3884\nAnswer: 14567\/3884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 17*i**3 + 6*i**2 - 28*i + 11. Let d be p(7). What is d rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2805, 59, -5 in decreasing order.\nAnswer: 59, -3, -5, -2805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1855\/1855)\/(15\/(-27)*-3)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1527.6973 and 14956.\nAnswer: 13428.3027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j + 130 = -25*j + j for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and 13964.\nAnswer: 13968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -33, 17, -8 in descending order.\nAnswer: 17, -4, -8, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -o + 4*x + 1, 2*o - 5*x - 10 = 0. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 5:11 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 6*b - 6. Let d be a(3). Is 378\/d + (-1)\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) -1\/7 (c) -2\/5 (d) 730 (e) -3\/8 (f) 3\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -132 - -141.7. What is the closest to m in 3, 1\/7, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13230*c + 2346 = 13276*c for c.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140999, -281970, -422911, -563822, -704703?\nAnswer: -845554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-5)*(-5)\/225*-6.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40885 is divided by 2780?\nAnswer: 1965","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30.69 + 32.29. Sort 3, w, -3, -2\/17, 4.\nAnswer: -3, -2\/17, w, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3945 + 3948. Solve -c*u + 22 = 13 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -15479\/3 at most as big as -5160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o**(-7)*o)\/o*o*o)*o**(2\/13)*o*o)\/(o**10*o*o**(-13)) assuming o is positive.\nAnswer: o**(132\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 3 (b) 5 (c) 2\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11420 is divided by 224?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z - 1. Let y be x(-2). Let g(v) = -v**2 + 11*v - 8. Let b be g(7). Suppose 0*n = 5*n - b. What is the closest to y in 3, 0.3, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a week in minutes?\nAnswer: 32760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/21*(-144)\/32.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 16*v + 56. Calculate k(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 224, 911, 2070, 3701?\n\"Answer: 236*f**2 - 21*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 4)*(-5 + 8 + 2 + 6*p**4 + 2*p).\nAnswer: 6*p**4 + 2*p + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2050 - 2921. Let l = q + 875. Let d = 2 + -5. What is the closest to -0.1 in 0, d, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.56 - 3.44. Which is the closest to -1? (a) -2 (b) 0.7 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90252*q + 2492*q**2 + 90252*q.\nAnswer: 2492*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - p - 6 = 0. Suppose p*h = h + 35. Calculate the highest common divisor of h and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16327596 by 1360633.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(7\/3)*o*o**(-1\/14))**(-1\/18)*(o\/(o**(1\/8)\/o))\/(o\/((o\/(o*o\/(o*(o*(o*o**(-3))\/o*o*o)\/o)))\/o))*(o*o**(2\/3)*o)**(9\/8) assuming o is positive.\nAnswer: o**(2561\/1512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20716 or -20717?\nAnswer: -20717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-168))\/(2\/12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/3*v - 10\/3*v**2 + 8\/3.\nAnswer: -2*(v + 2)*(5*v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 5*h - 5*x - 25 = 0, 3*x + 17 = -5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, 1\/2, -19.707, -7, -0.4 in decreasing order.\nAnswer: 1\/2, -0.4, -5\/4, -7, -19.707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -128329 or -128332?\nAnswer: -128329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 6. Suppose -5*y + a = 3. Let d(c) = -6*c**2 + 3*c + 4. Let p(q) = 2*q**2 - q - 1. Let m(w) = -2*d(w) - 7*p(w). Calculate m(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*u + 3 - 3 + 0.\nAnswer: -33*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f**2 + 17*f - 28. Suppose s + 12 = -2*x, -4*s - x + 16 - 43 = 0. Calculate the remainder when 84 is divided by l(s).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 77. Let w(l) = 15. Let s(d) = 2*f(d) - 11*w(d). Let c = -9 + 14. Let r(y) = y + 1. Let m(t) = c*r(t) + s(t). Give m(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 388 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 6358*l - 82425. Calculate k(13).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/10)\/(1\/30). Suppose 3*l - 112 = 4*f, -f = -l - 3*l + 145. Let c = l - s. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8, -23, 20 in descending order.\nAnswer: 20, 1, -8, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -499 + 504 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - t - 115 = 0, 4*t + 20 = 9*u - 8*u. What is the remainder when 500 is divided by u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 685, 1369, 2053, 2737, 3421?\nAnswer: 4105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p - 8. Let b be o(10). Suppose b*z + 2*z - 20 = 0. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(3*z**3 - 3*z**3 + 2*z**3) + (z**2 - 2*z**2 - 2*z**2)*(5*z - 4*z + z) - 5*z**3 - z**3 + 11*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + (42\/(-6) - -11). Suppose -6*j = -3*j - 6. What is the derivative of j*m**3 - f*m**4 - 2 - 2 - 2*m**3 wrt m?\nAnswer: -28*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 576753365.\nAnswer: 5, 1493, 77261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 147 - 147. What is the second biggest value in p, 6, -0.1, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o + 4. Let c be h(-8). Suppose 4*z + 48 = 3*b - 56, -176 = -5*b + 4*z. What is the highest common factor of b and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 8*i**2. Let k(x) = -63*x + 3332. Give k(m(z)).\nAnswer: -504*z**2 + 3332","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3485.5 + -3483.5. Put 2\/7, -1\/3, q, -7 in descending order.\nAnswer: q, 2\/7, -1\/3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1278816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 298 - 294. Solve -3*x = 2*x - 4*l - 35, -32 = -a*x + 4*l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1362982, -1362996, -1363010, -1363024, -1363038?\n\"Answer: -14*w - 1362968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = -13*r + 8*r + 3*t, -3*r + 5*t + 70 = 0. What is the least common multiple of r and 140?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5, 13, 31?\n\"Answer: 18*r - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1107\/2206 + 2\/1103. What is the nearest to 2\/7 in j, 0.4, 5, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = v - 91, -10*v - 265 = -13*v - 13*g. Let x = -4 - -6. Suppose -5*i = -x*i - 75. Calculate the remainder when v is divided by i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 4516213.\nAnswer: 216778224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50110*c - 50110*c + c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*k, 3 - 13 = 3*h + 2*k. Put 4, -1, h, -2 in decreasing order.\nAnswer: 4, h, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 1)*(-94 + 0). Let f = b - -142. What is the greatest common factor of f and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 21 = -13. Suppose -3*u = -j*s - 25, 2*u - 4*u - 4*s = -22. Solve -4*d - u = -d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00101364 to 5 decimal places.\nAnswer: 0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3933 + 4188.9. Let x = -255.91509 + z. What is x rounded to 3 dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11052888 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.05, 75097, 7\/22?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-1*-3*(-25)\/30.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04311, -40163, -0.3.\nAnswer: -40163, -0.3, 0.04311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2457750 and 73500.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/(-12)*9\/45*12\/(-333).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -10*o**2 - 2*o - 1. Let q be y(-1). Suppose 5*c - 3*u = -u + 71, -2*u = 6. Let p = q + c. Solve -g + p = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 9. Let a be (-28)\/(-10) - (-3)\/15. Suppose 1 = j + 2*b, -4*j + 5*b + 15 = -a*j. Sort j, -3, r in descending order.\nAnswer: j, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 381 - 377. Solve -2*d - 3*w + 2 - 18 = 0, c*w + 22 = -3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 1)*(-1 + 0 + 0)*(49*a - 56*a - 14772 + 14470) to the form p*a + b and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*z + 74 = -119, 3*s - 121 = z. Are s and 83\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7145383?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 4:08 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12683 and 52019?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -595*t - 16986 - 3*t**2 - 16977 + 33961 to the form u + k*t + b*t**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 4*n. Let j be 9 + -3 + (1 - 4 - n). Solve -h + 5*h + 5*w - 16 = 0, 4*h = -j*w + 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 3 (c) 1.6 (d) -2\/17 (e) -3000 (f) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5 + sqrt(45))**2 + (sqrt(5) + sqrt(500) + (sqrt(500) + 1 + sqrt(500))**2 - (sqrt(5)*-1*-4)**2).\nAnswer: 51*sqrt(5) + 1966","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-13)\/(-3))*219\/146.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(304) - (4 + 1 + sqrt(19)))**2 - (sqrt(2736) + sqrt(2736) + 0 + sqrt(19)*2*1).\nAnswer: -50*sqrt(19) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4 - j**2 - 2 - 3 + 2*j**2. Let o(w) = 2*w**2 - 2. Let k = 27 + -13. What is k*i(n) - 6*o(n)?\nAnswer: 2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 494.\nAnswer: 1\/494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -15)*2\/4. Let x be (10\/4)\/(v\/602). Suppose -2*l - x = -7*l. Does 43 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/sqrt(192))\/(-3*sqrt(44)\/sqrt(4)).\nAnswer: -sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -1117?\nAnswer: -4468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -2. Find the second derivative of 2*u - 3*u - u - u**k wrt u.\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*c + 0)*(-2*c**2 + 6 - 1 - 3) - 134 + 292*c**3 + 134.\nAnswer: 286*c**3 + 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*p + 2839 - 2907 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*-2 + sqrt(72))\/((sqrt(72)*-1)\/sqrt(8)) - ((sqrt(128))**2 + sqrt(22)\/(sqrt(11) + sqrt(275))).\nAnswer: -128 + 11*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {i: 3, n: 11}.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1572*w + 2*i = -1568*w + 26, 7*w + 0*i + 2*i = -51 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1136636 or -25.5?\nAnswer: -1136636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.8952 + 116.7882. Let t = j + -102. Let g = t + 0.10700049. What is g rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-12)*g**(4\/7))\/(g*g*g**(-2\/5)\/g*g)**(-2\/123) assuming g is positive.\nAnswer: g**(-44783\/4305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/24 and (-586)\/(-140) - (-10)\/(-35).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 10*z - 40*z + 204 = 0, 5*y = -z - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28.2 - 27.9. Which is the third smallest value? (a) 0.19 (b) 1\/8 (c) -4 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -930*u + 199598 = 2836*u for u.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)*m*m**0)**(3\/13)\/(m**(-8)*m\/(m**(2\/11)*m))**38 assuming m is positive.\nAnswer: m**(44328\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 0*h + 3*p = 9, 3*p - 3 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + (2 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 166, 639, 1428, 2533, 3954, 5691?\nAnswer: 7744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gtb when three letters picked without replacement from {g: 2, t: 5, b: 4, f: 2}.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r**2 + 22*r + 76. Let l(q) = 2*q**2 - 11*q - 37. Let m(w) = 9*l(w) + 4*z(w). Let u be m(9). What is the highest common factor of 238 and u?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2553 is divided by 57.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/9 (b) 2 (c) -362 (d) 0.5 (e) 6 (f) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -741*w - 5231. What is j(-7)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 418 - 417. List the prime factors of u\/(-4) + (-10059)\/(-12) + -3.\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*h**3*m**2*n*q - 166*h**3*m**2*n + h**3*q + 12*h*m*n + 2*m*n + 8*n*q wrt m?\nAnswer: 20*h**3*n*q - 332*h**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*m - 768, 4*m - 4*k = 458 + 166. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 47*p. Let w be (-15 - -15)*(1*-2)\/(-10). Let a be v(w). What is b in 0 - 1\/3*b**4 + 2\/3*b**3 + a*b - 1\/3*b**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + -1)*(-312)\/9360. What is the nearest to -5 in -5, 2\/19, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - f**3 - 2*f + 2 + 4*f**2 - 6*f**2. Let g be o(-2). Let a be (-24599996)\/6 + g\/(-3). Round a to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (69 + -71)\/((-2)\/12). Solve 3*m + 3*m - r = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 8*i + 5. Let p be n(6). Suppose -p = -3*l + 4*v, -2*l + 3*v = v - 32. What is the highest common factor of 121 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(96)*-2)\/sqrt(4))\/((1*sqrt(96))\/sqrt(8)))**2 + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of j**8\/120 - 5*j**4\/24 + 65*j**3\/3 - 36. Let h(q) be the third derivative of r(q). What is the first derivative of h(z) wrt z?\nAnswer: 56*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 764? (a) -16\/7 (b) -3 (c) -0.3 (d) 2 (e) -2\/5 (f) -2.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*b - l + 68, 0 = -4*b + 3*l + 61. Suppose 2 = 4*m + 3*j, 5*j + b + 5 = 4*m. Solve -3*u - 25 = -5*o, -o - 5 = -4*u - m*o for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*p + 3842438 - 3842438.\nAnswer: -21*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27178.95 + 27179. Which is the closest to 1597? (a) g (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.054 + -106.946. Let i = 107.000067 + g. What is i rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - u + 1. Let m be d(-2). Let p be (-12)\/(2 + m\/2). Let f = -123\/5 + p. Do f and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + s**2)*(-1 + 1 - 1)*(-6*s + 5*s + 4 + 0*s) in the form d*s**3 + o*s**2 + q + b*s and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25 and 261?\nAnswer: 6525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -2*c + q, 127*c - 232 = 123*c + 12*q for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o + 0*o + 2*o + o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/4 + -3 + 4. Suppose 63 = 2*i + i. Let d be ((-6)\/i)\/(2\/4). Sort -3, d, z in descending order.\nAnswer: z, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383456661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16160 greater than or equal to -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/15 (b) -347 (c) 1 (d) 0 (e) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 999, 1207, 1417, 1629?\nAnswer: 1843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 497?\nAnswer: 9940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**4\/12 + 7*u**3\/6 + u**2\/2 + u. Let i be c(-6). Let t = -68 + 64. Which is greater: i or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 1:02 AM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 6003?\nAnswer: -6000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7080.3185614 less than 1?\nAnswer: -7079.3185614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -411, -1165, -2435, -4233, -6571, -9461, -12915, -16945?\nAnswer: -21563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2514405477.\nAnswer: 3, 838135159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + q**2 + q. Let h(x) = -3 + 3 + 3*x**3 - 6*x - 6*x**2. Give -h(y) - 6*j(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -6*y - 10 + 2*y + 3*y + 0*y. Let r be a(-13). Suppose r*c + 2*c - 140 = 0. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + -22 + 33\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of u**4\/4 + u**3\/3 - 5*u**2\/2 - 4*u + 1. Let w(f) = -2*f - 5 + 3 + 6*f + 3. Let m be w(-1). What is c(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 + -38. Suppose 3*n - 4 = -5*c - 3, 3*c + 7 = 2*n. Solve n + y = 4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-24)\/9)\/(6*(-79)\/711)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 293\/2 or 146?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -255 + 16*d**2 + 253 - 2*d**4 + 6*d**4 - 15*d**3 - 3*d.\nAnswer: (d - 2)*(d - 1)**2*(4*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47658 minus -1?\nAnswer: -47657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82 and 1162514.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j. Suppose 2*n - d + 5*d = 6, 3*d + 6 = 2*n. Let z(h) = 0*h - 18*h + n*h + 3*h. Calculate o(z(u)).\nAnswer: 24*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 48616322269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26939, -26863, -26797, -26747, -26719?\nAnswer: -26719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -134 in ascending order.\nAnswer: -134, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - j = -6, -4*n + 0*j = 2*j + 16. Which is the nearest to 2\/7? (a) -0.7 (b) n (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven tenths of a tonne?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41246 - 41242. Which is the closest to -8? (a) -11 (b) -2\/13 (c) p (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3101 (base 5) in base 2?\nAnswer: -110010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, n: 3, r: 1, g: 1, z: 3, w: 2}. What is prob of sequence zg?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*c + 45*c + 3 = 0, -c - 7 = -4*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -j**3\/3 + 7*j**2\/2 - 1048*j. Let w = -1 - 0. Let q(x) = -1. Give w*u(p) - 4*q(p).\nAnswer: 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 966*b**3 + 2098*b + 3517. Find the first derivative of z(w) wrt w.\nAnswer: 5796*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-15) - 288\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(117) + 3 + 0 + sqrt(325) + -3)*1)**2.\nAnswer: 13312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -6*p + 93. Calculate o(21).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -326, -1332, -3008, -5354, -8370, -12056?\n\"Answer: -335*g**2 - g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 8*g - 6. Let q(m) be the first derivative of 6 + 5*m - 7\/2*m**2. Calculate -5*k(b) - 6*q(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14276 + 21585. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 4*s + 192 + 2560, 5*i = 2*s + 3437. Does 14 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 2*z**2 - z + 2. Let l(j) = j**3 - 21*j**2 - 26*j + 37. Let m be l(-2). Give x(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 2:59 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -2*a - 2*h - 60, -3*h = 0. Let m be (-6)\/(-15) + 819\/a. Suppose s + m = v, 2*v - 3*s - 107 = -0*s. Is v a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/3))**(2\/7)\/(z**(3\/11)*z**(1\/3)) assuming z is positive.\nAnswer: z**(-54\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/3*(65\/(-50))\/13?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -4*r**4\/7 + 216*r**3\/7 + 676*r**2\/7 + 456*r\/7 = 0.\nAnswer: -2, -1, 0, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -13*x + 46. Let q be d(5). Which is the closest to 0? (a) q (b) 0.7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 6631.\nAnswer: 2\/6631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4 = -2*w, -4*u + 26 = 5*w - 2*u. Suppose -6 = w*t - 14. Which is the closest to 0.1? (a) 19 (b) -0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76414?\nAnswer: 2, 13, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/3)\/t*t)**(-39)*t**10*t\/(t**(-3)\/t) assuming t is positive.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -6*d - d**2 + 0*d + 4 + 0 - 7. Let t be v(-5). Suppose t = 2*x - 10. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -175 - -179. What are the prime factors of 8\/16 + 910\/a + 0?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06 - 0.15. Let v = -1.17 + 0.22. Let c = g - v. What is c rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 11*c**3 + 3*c**2 + 3*c + 1. Let h(b) = -22*b**3 - 7*b**2 - 7*b - 2. Let d(i) = 4*h(i) + 9*o(i). Let r be d(1). Let v = 20 - r. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17963487?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, g: 4, z: 1, j: 1, o: 4}. What is prob of picking 1 z, 1 j, and 1 k?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*l**3 + 23*l**3 + 20*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 798709 and 31623.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 247 + -746\/3. Sort m, 0.4, 0.39 in ascending order.\nAnswer: m, 0.39, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -173 (b) 406 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800)\/sqrt(10) + (1*sqrt(45))**2)*-2.\nAnswer: -90 - 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 259717210?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 40859430 to the nearest 10000.\nAnswer: 40860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 726*((-6)\/(-3))\/4. Let g be (-66)\/b + (136\/22 - 1). What is the second derivative of 9*r + 20*r - 45*r - g*r**5 wrt r?\nAnswer: -100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 43*f**2 + 14*f + 740. Calculate q(-43).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 422233001 - 1220?\nAnswer: 422231231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 8*b**2 - 450*b - 1 + 435*b - 2*b**2 + 3*b**2 - 5.\nAnswer: -7*b**2 - 15*b - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/((-650)\/162 + 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2327.4992 and -24 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.3 and 1329195.9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -6*w + 1. Let h(j) = -7*j + 2. Suppose 0 = 4*v - 6*v + 6. Let p(t) = v*m(t) - 2*h(t). Give p(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 16) to base 5.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1442970273?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 45239 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 853982*x - 9907 = 853874*x - 943 for x.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -500035636 divided by 125008909.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*p - 1480 = 80 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 3*p**5\/5 + 3*p**4 + 4*p**3 + 96. Factor s(f).\nAnswer: 3*f**2*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 3*u - 5. Determine j(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 148103767226 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 3660000 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -59264*l - 3020. Let s be x(-5). Round s to the nearest one thousand.\nAnswer: 293000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 612*b - 619*b. Solve 0 = 4*o - 4*l + 20, 4*l = -14*o + b*o + 14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/(-24)*(27 + -29) and -23\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*f + 1120 = -66*f. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 + 1)*(3 - 3 + 2*x**2) - 1 + 2*x**2 + 1 + 3*x**2 - x**2 - x**2.\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8738 divided by -9.\nAnswer: -8738\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 64 - 17 = 0. Is y a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2350.31746 rounded to 0 dps?\nAnswer: -2350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 614687.\nAnswer: 614687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 12091 = 2277. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(142\/(-143) + 1). Suppose -1350 = 30*r + 15*r. Let k = r + i. Is k a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 201627869*c**3 + 320382697*c**2?\nAnswer: 1209767214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -554*w + 1509*w - 563*w - 392*w - 14*w**2 + 6.\nAnswer: -14*w**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -1\/240*x**6 - 1\/120*x**5 + 0*x**3 + 3*x**2 + 0*x + 0*x**4 + 0. Suppose p(c) = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -200 - -201. Let q be 5\/(-2)*(-6)\/(-50). What is the third biggest value in q, 2, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7281 is divided by 52.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - m - 533 = -5*j, -991 = -4*m + 5*j. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -4. Let p be o\/5 - 24\/(-10). Suppose p*y + 30 = 7*y. 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: In base 2, what is -1001 + 1111?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -425157595 to the nearest one million.\nAnswer: -425000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2568 is divided by 66.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 6:30 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**2 - 10*i - 3. Suppose -3*r + 3*w - 28 = -100, -5*w - 20 = 0. Let h be 5\/(-2)*(-72)\/r. Is g(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45367)\/(-77772)*(-6)\/(-4)?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 700 is divided by 47?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -21, -46, -79?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iaiiviiviiivv. Give prob of sequence iviv.\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -626202 divided by 5493\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, t: 1, i: 2, p: 1}. Give prob of sequence ii.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -122400 (base 6) in base 2?\nAnswer: -10101011000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107 + 106 - (-5 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + (-15)\/(-6))*-4. Suppose 0 = -8*r + 316 - 268. Solve d + 2*t = -0*d - r, 16 = 4*d - u*t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 3*t - 17. Suppose 602*j - 24 = 606*j. Let y be f(j). Let k = 0.1 + 0.1. Which is the closest to y? (a) -4 (b) k (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 18748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 83187959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 27*c. Let x(o) = -4*o. What is x(q(h))?\nAnswer: -108*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dcdc when four letters picked without replacement from {d: 2, c: 16}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, f: 2, a: 5}. Give prob of picking 1 f and 1 a.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*d = 13872 + 6144. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-7))\/((-239)\/(-1673))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 5*j + 175, -2*j - j = 6. Let p = -34 + y. What is the units digit of (-5 + 3)\/(-2 - p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2. Let s(w) be the second derivative of 0 - 1\/2*w**3 + 6*w**2 - 158*w. Determine i(s(m)).\nAnswer: -9*m**2 + 72*m - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 9*r - 11. Let w be b(-8). Suppose 0 = 5*n - 7 + 2. Let a = n - w. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*a = -0*b - 0*b - 245, 4*b = -2*a + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 10312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b**2 - b**2 + b**2)*(7*b + 2*b + 0*b) as s*b**3 + w*b + r*b**2 + q and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 - 7*j + 3. Let m be t(-8). Suppose -5*n - 23 + 344 = 4*v, -v = 3*n - m. Suppose -5*s = 21 - n. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 - -43 - (-1 + 0 + -6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2790)\/(-837))\/((-5)\/12)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6564, -13106, -19648, -26190, -32732, -39274?\nAnswer: -45816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 328 (b) -155 (c) 1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -10*o**2 + 0*o**4 + 0*o**3 + 0 + 17\/60*o**5 + 0*o. Let l(a) = -2*a. What is y(l(x))?\nAnswer: 68*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/167 (b) 3 (c) -1 (d) -0.3 (e) -5\/68\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69620354819\/11252 + -6187376. What is the common denominator of r and 71\/2?\nAnswer: 11252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (4 - 3) - (-1 + -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2108 - 2107.99997654. What is b rounded to six dps?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46 + ((-1 - 1) + 0 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: cd146 (base 14) to base 13\nAnswer: 14524a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -204 from -11347438718.\nAnswer: -11347438514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7890781 is divided by 147.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2. Let n(g) = 14*g + 3. Let o(s) = 56*s + 13. Let d be (9\/(-2))\/((-3)\/4). Let w(x) = d*o(x) - 26*n(x). What is w(u(v))?\nAnswer: -56*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 3:30 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.1598 rounded to 0 decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 3*b - 969, -584*n = -582*n + b - 979. Is n a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54257 and 5392?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**8\/336 - y**5\/6 - 623*y**4\/24 + 2*y**2 + 36*y. What is the second derivative of v(f) wrt f?\nAnswer: 20*f**3 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a second in microseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 864*i - 58520 - 12889 = -10065 for i.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -150875.7687 and 0.2.\nAnswer: -150875.5687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -911*d**4 + 5*d - 4*d - 4 - 13*d + d**2 - 3*d + 14*d + d**3 as g*d**4 + p + b*d**3 + x*d**2 + n*d and give g.\nAnswer: -911","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -7*o**2 - o + 18. Calculate s(3).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in -1\/76, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/459*-6)\/((-2)\/(-18))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (0 + -11 + 9)) + (-5 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-115)\/((-4945)\/(-946))*-2?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-3))\/(2\/(-6)). Let z(r) = r**3 - r**2 - 9*r + 9. Let t be z(-3). Which is greater: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - s + 18. Let d be (-4)\/10*-10 - (6 + 30)\/4. Give f(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 13*g**2 - 24*g + 680. What are the prime factors of w(-29)?\nAnswer: 3, 11, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.009 - 0.37.\nAnswer: -0.379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*t - 30*t = 20. Is (t\/16)\/(1\/236) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54264 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.039, -1\/7, 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60728 to the power of 1\/2, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 76445 (b) 4\/5 (c) -4 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (9 - -5) - -18?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 38122, 76248, 114374?\n\"Answer: 38126*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002366 (base 7) to base 8.\nAnswer: 347402","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 11*l + 15. Let c be b(7). Suppose 351 = c*v - 40*v. What are the prime factors of v?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 3*z - 1. Let x(s) = 5*s**2 + 3. Let o(f) = -3*i(f) - x(f). Let w(t) = -4*t**2. What is o(w(y))?\nAnswer: -32*y**4 + 36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.007 (b) -10 (c) -27 (d) 1\/4 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1071 divided by 9\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**3 + 128*x**2 - 1170*x - 1296 = 0 for x.\nAnswer: -72, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + n - 11 = -t, 5*t - 31 = -n. Let l = t + -4. Suppose -l*a = -4*a + 19. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v + 11*v - 6*v)*(1 - 1 - 3)*(1 + 0 - 2)*(-3 - 5 + 7).\nAnswer: -30*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*q + 7. Let w be q\/(-4)*(-112)\/8. Let r(a) = 3*a**2 - 6*a - 15. What are the prime factors of r(w)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06885309 to three dps.\nAnswer: 0.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-9)*(-150)\/700?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)*-2)\/sqrt(8)*-3 + sqrt(5) + 0 + -4 + 0)**2.\nAnswer: -56*sqrt(5) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 478.2313 from 7.\nAnswer: -471.2313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 17043 = 10*x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181095 divided by 15?\nAnswer: 12073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2342299 is divided by 2216?\nAnswer: 2203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 11) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 - 21*b + 22 + 12 + 18.\nAnswer: -21*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*z - 5*z + 2*z - 2*z**2 + (3*z**2 - 3*z**2 + z**2)*(-5 + 1 + 2) + 0*z**2 + 2*z**2 - 4*z**2)*(-1 + 3 - 1).\nAnswer: -6*z**2 + 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 9*d**3 - 34*d**2 + 5*d + 3. Let z(w) = 14*w**3 - 51*w**2 + 8*w + 5. Give -8*g(m) + 5*z(m).\nAnswer: -2*m**3 + 17*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 - 2747 = -2*o - 2*v, 0 = -o - 5*v + 1447. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 2*n**2 + 14*n + 16. Let f be d(-6). Let j = f - 78. What is the units digit of j + 12\/16*4 - -194?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c - 3*r = -12*c, c - 2*r = 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-6)*1*18. Let v = 21 + w. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3\/5 - 6*p**2\/5 - 9*p\/5.\nAnswer: 3*p*(p - 3)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221303 (base 4) to base 12.\nAnswer: -166b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cywewppvypyy. What is prob of sequence pyc?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 5:18 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 + 2*y**4 - 2*y**3)*(-2*y - y + 2*y) - 2*y**5 + 5*y**5 + 3*y**5 + (-3*y**2 + 2*y**2 + 3*y**2)*(1 + 2*y**3 - 1) + 0*y**5 - 2*y**5 - 2*y**5.\nAnswer: 4*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, v: 3}. Give prob of sequence iiii.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 90263329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 17833?\nAnswer: -17834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 22*g**2 + 9*g - 35. What is the hundreds digit of j(-24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = -4*g + u - 3*u, 3*g + 4*u = -72. Suppose -l - 4*l = 3*v + 72, -5*v - 98 = l. Which is smaller: g or v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47a738 (base 12) to base 3\nAnswer: -2011212120222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1371? (a) -1\/5 (b) 5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 5*r + 51. Suppose n = -0*n - r. Let t = -15 - n. Solve -5*q + 15 = -v, 0 = 4*v + t*q + q - 9 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 126042, 126037, 126024, 126003?\n\"Answer: -4*n**2 + 7*n + 126039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 11:10 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 2*y = 1, 57*b - 1 + 28 = 52*b - 6*y for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1367919553.4 - -4.019.\nAnswer: -1367919549.381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -51, -99, -155, -213, -267?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 7:13 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -571*b - 267*b - 1491*b - 2169*b.\nAnswer: -4498*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -7*k - 150. Calculate the remainder when t(-59) is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11284 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 460 - 456. What is the lowest common multiple of 3\/12*-2*-22 and g?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, r: 1, h: 1, o: 4, i: 3, l: 2}. What is prob of sequence li?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2769 - -2772. Suppose 0 = 5*a - 2*n - 16, 2*n + 4 = a - 4. Solve -3*y + r = a - p, 2 = -4*y + 2*r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((2 + sqrt(252) + -1 - sqrt(252)) + 2)*2)**2 + 1 + 2 + (sqrt(252)*-1)**2 + 3)*3.\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/3 + 46*d**2\/3.\nAnswer: -d**2*(d - 46)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 15, -c = 5*o - 14 + 43. Put -2, 0, c in ascending order.\nAnswer: c, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2 + 167*m - 71. Calculate v(-56).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 5:25 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/((-612)\/54) - (-2)\/(-12)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-70)\/3)\/((-6)\/9). Calculate the greatest common factor of g and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 116\/(((-30)\/25)\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + -153 + 103 - -67?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 34*d - 19. Suppose -3*r + 44 = 5*f, 4*f = -r - f + 28. Is z(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62712 by 52.\nAnswer: 1206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 9*j**3 + 2*j**2 + j + 4. Let f(q) = 9*q**3 + q**2 + q + 3. Let z(o) = 4*f(o) - 3*h(o). Let k be z(1). Let w(c) = 3*c - 7 - 3*c + c. What is w(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -273 - -267. Is (-1 - 2) + 497 + 18\/m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -1. Suppose i*g + 254 = 4*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-seven halves of a microgram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4591\/12 - 1147\/3. What is the closest to t in 0.6, -2, 1.9?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/10)\/(2*(-1)\/8). Which is smaller: -9 or w?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4366\/5 - 121903\/140. Let m = b - -1\/28. What is the second biggest value in m, 1\/4, 1\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**3\/10 - 115167*t**2\/10 - 46068*t - 230342\/5 = 0. Calculate t.\nAnswer: -2, 115171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 467.9502 - 468. Round i to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*t + 126 = 0, -3*o + 159 = t - 219. What is the third derivative of -126*w**4 - 3*w**6 + 2*w**6 + o*w**4 + 5*w**3 - 19*w**2 wrt w?\nAnswer: -120*w**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0*3\/9)\/((-9)\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -9. Let k be (0 - 2) + (4 - 1) + f. Solve 6 = -0*h - k*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -23351, -23350, -23349, -23348, -23347?\n\"Answer: v - 23352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 120 - 83. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -1. Let d(t) = -t - 13. Let c(r) = -d(r) + 5*v(r). Let g be c(0). What is the highest common divisor of g and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/4*((-18)\/21)\/(-2). Put k, 0, -2, -1 in ascending order.\nAnswer: -2, -1, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**3\/13 + 12686*c**2\/13 + 391344*c\/13 = 0?\nAnswer: -6312, -31, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 3 (c) -3 (d) 34 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*m - 3*u = 63*m - 18, -3*m - u = 5. Let z(k) = 20*k - 5. What is z(m)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k - 14*k = 4*z + 119, 5*z + 169 = 3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 7. Suppose -9 = -2*f + 2*z - z, t = 4*f + 2*z + 2. Which is the third smallest value? (a) 0 (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from skknms. What is prob of picking 1 m and 1 k?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(108) - -1*sqrt(108)*-1))**2 + (sqrt(15)\/(sqrt(5)*1) + sqrt(3) + (sqrt(81)\/sqrt(3))**2)*1.\nAnswer: 2*sqrt(3) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 100001?\nAnswer: -22222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2. Suppose -14 = -4*p + 10. Let u(z) be the second derivative of 2*z**4\/3 + 4*z**3\/3 + 4*z**2 + 9*z. Let f(n) = p*b(n) + u(n). Factor f(j).\nAnswer: 2*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-23)\/((w\/(((w\/(w\/(w**(-19)*w)))\/w)\/w))\/w) assuming w is positive.\nAnswer: w**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2. Suppose 18 = 4*o + 6. Let r(m) = 4. Let n(k) = -k**2 - 3. Let w(i) = o*r(i) + 4*n(i). Determine z(w(h)).\nAnswer: -16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23058 and 62860.\nAnswer: 103530420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/40857 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (108\/81)\/((-4)\/(-21363)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -297.7 - -44.7. Let u = q - -252.99761. What is u rounded to 4 decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 11*m**3 + 11*m**2 + 9*m - 3. Let c = 69 - 65. Let u(o) = -5*o**3 - 5*o**2 - 4*o + 1. What is c*r(i) + 9*u(i)?\nAnswer: -i**3 - i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 3:43 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 + 8)*(11*v + 6*v**2 + 15*v - 51*v).\nAnswer: 90*v**2 - 375*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -1\/6*q**3 + 0*q**2 + 0 + q. Let y(r) = r + 354 - 354. Determine y(m(i)).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.29 + 0.01. Suppose -6 = 7*c + 1. Let n be (-2)\/(-5)*(-10)\/(-2). Put n, c, m in descending order.\nAnswer: n, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 9 = 3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (77 + -44 + -77)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 329, -100, -0.5 in increasing order.\nAnswer: -100, -0.5, 329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 819299 divided by 2.\nAnswer: 819299\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-10)*((-2)\/((-4)\/(-6)))\/((-1026)\/(-456)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 13\/10, 1, 0.3, 3, -4 in descending order.\nAnswer: 3, 13\/10, 1, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 z when two letters picked without replacement from zfffzfff.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -21. Let o(v) = -v**3 + 2*v**2 + 4*v. Let y be o(j). What is the second derivative of 0*f**y - 9*f**3 - 3*f + 2*f + 2*f**3 wrt f?\nAnswer: -42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 - -87 - (4 - (1 - 3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -g**5\/210 - g**4\/28 + 4*g**3\/21 - 33*g**2 - 2*g - 50. Let o(a) be the second derivative of s(a). Factor o(p).\nAnswer: -2*(p - 1)*(p + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -732 + 655.7. Let u = -76 - v. Suppose n = -3*w - 2, -n - 4*n = -4*w - 28. Which is the nearest to -1? (a) -3\/4 (b) u (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/1030500 and 113\/47093850?\nAnswer: 470938500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 + 57. Sort 2, 3\/7, t, 5 in descending order.\nAnswer: 5, 2, 3\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmmmm. What is prob of picking 3 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8187480 and 39558.\nAnswer: 2841055560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/52972266 and 55\/4606284?\nAnswer: 105944532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/15 (b) 2 (c) 138 (d) 1\/8 (e) -15 (f) 0 (g) -2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002462 rounded to four decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 28 = -3*f - 18, -4*v - 4 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**2*c)\/c**(4\/7) assuming c is positive.\nAnswer: c**(31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -19326810.5 to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -41745, -41577, -41409, -41241?\n\"Answer: 168*w - 41913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 622303 to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71379*j - 71389*j + 142777*j + 0 + 0.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 224.87.\nAnswer: 224.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -18.382?\nAnswer: 91.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.361 - -4.36096909. What is t rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1838*p - 1845*p = -42 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.3, 6, -0.4, 0.97, 4\/2167, 2\/17?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - d = 5*j + 383, d + 169 = 2*j. Let p = d - -249. Put -4, 3, p in ascending order.\nAnswer: -4, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*m**3 - 26*m**3 + 1 + 75*m**3 - 1 - 16*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f*r*u**2 + 188*f*r*u - 4*f*r + f*u**2 + 20064*r*u**2 - 2877*r*u - 11*u**2 wrt u?\nAnswer: -2*f*r + 2*f + 40128*r - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 5*d + 118 = 0, 86 = 5*y + 2*d + 8. Calculate the lowest common multiple of (-73)\/(-4) - (-2)\/(-8) and y.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 13*a - 65. What is the remainder when 43 is divided by t(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i. Let y(v) = v**2 + 1465*v. Calculate y(b(k)).\nAnswer: k**2 - 1465*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1817 + -1622. Calculate the remainder when 806 is divided by f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 938 is divided by 149.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/(-5)*(-35)\/14. What is the first derivative of -4 + 1 - s + 10*f wrt f?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 n when two letters picked without replacement from eenup.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqqqqqqqqrqqqr. What is prob of sequence qrr?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1577823483?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - z + 2)*(3 + 4 - 4 + 12 + 2 - 4 - 5 + 4 + 3 + (4 - 6 + 4)*(-3 + 2 - 1) - 1 + 0 + 2) + (4*z - 4*z + z)*(0 - 4 + 2).\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 101 + -86. Suppose -2*z = -4*h + 11 + 15, h = -3*z - 11. Let r = d + h. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x**2 + 52*x - 53. Let f be u(1). Sort f, -6\/7, 11.\nAnswer: -6\/7, f, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -9*d**3 + 102*d**2. Let m(p) = 20*p**3 - 203*p**2. Calculate -7*l(b) - 3*m(b).\nAnswer: 3*b**3 - 105*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f + 28 = 8*f. Let g be 26\/4 + f\/(-14). Let w be (-2)\/g + (-1)\/21. What is the third biggest value in -3\/5, -1\/2, w?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, j: 2, s: 3, a: 3, o: 1}. What is prob of sequence jj?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/114)\/((-2)\/(-42)) + -1.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -0.87, -5.6, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 85465573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/32 of a tonne?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 876770688*f**2 + 139*f**3 - 876770688*f**2.\nAnswer: 139*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -20 * 3\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z**5\/7 + 47749*z**4\/7 + 51404163*z**3\/7 - 900107737*z**2\/7 - 2971750706*z\/7 + 569764920\/7 = 0. What is z?\nAnswer: -2179, -3, 2\/11, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 52*l + 7*l**2 - 51*l + 3 - 5. What is i(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8342 - -12650. Calculate the remainder when q is divided by 139.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 0*o**3 + 6*o**2 - 1\/340*o**6 + 0 + 1\/102*o**4 - 1\/102*o**5 + 0*o. Factor s(n).\nAnswer: -2*n*(n + 2)*(3*n - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i, 7*h = 4*h - 4*i + 36. Calculate the remainder when 34 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1674184042432 and -43.\nAnswer: -1674184042475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.059 - -1.97. Which is the closest to 2\/3? (a) -2 (b) -0.3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.71172.\nAnswer: 0.142344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77 - 108. Let y = d + 249\/8. What is the closest to -2\/9 in 3, 0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 819?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-3))\/(28\/546). Let g(i) = -i**2 + i + h - 25 + 12. Let v be 1 + 1\/3*0. Give g(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 18. Let l(m) = m**3 + 10*m**2 + 9*m + 5. Let k be l(q). Suppose 0 = -4*v + k*v - 22. Is 22 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 191933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 8872507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*r + b + 4, 3 = 3*b. Suppose -4*w + 3*p - 11 = 0, w - p = -6*p + 26. What are the prime factors of (3\/w - (r - 1)) + 60?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28951 is divided by 2411?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1809 (b) 1 (c) -79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244*c + 203*c - 853*c + 199*c + 198*c.\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 704?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 488345 divided by 683.\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.003 - -0.003. Let k(h) = 1 + 0*h + 0*h + h. Let i be k(-1). Which is the nearest to i? (a) -2\/13 (b) 1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 8 = -4*p. Let n be 9\/(0 - (-3)\/p). Solve -4*t + t = n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 897 - 741. Solve -2*w + r = 164 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z - 1. Let q(b) = 1. Let k(o) = i(o) + 2*q(o). Calculate k(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2151 + 17111\/8. Calculate the common denominator of z and -71\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(6480))\/(-2*sqrt(441)*-1).\nAnswer: -18*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*a + 17*a + 24 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/100)\/(((-8)\/(-20))\/(-2)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*t**3 - 41343*t**2\/2 - 2067*t\/2.\nAnswer: -3*t*(t + 689)*(20*t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 + 1165849416*f - 113267071732295088.\nAnswer: -3*(f - 194308236)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uggygqyuuyyy?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 67825326*t*x - 535604503*t wrt x?\nAnswer: 67825326*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/15 (b) -1\/5 (c) -37\/31 (d) 1\/3 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j. Let k(h) = h + 1. Let o(b) = -6*b - 86. Let f(x) = -4*k(x) - o(x). What is f(i(q))?\nAnswer: -4*q + 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -1\/7 (c) -4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -49097692 divided by -386596\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9171278 litres to millilitres.\nAnswer: 917.1278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -527 + 530. Suppose -3 = 3*c, -5*l - 4 = 5*c - 9. Solve -y*g - 3 = -l*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 y when four letters picked without replacement from ycyyyyyycyyc?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*q - 259933 - 36538, q + 7 = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v + 11. Let h = 421 + -425. Let t(z) = z + 1. Determine h*t(g) + f(g).\nAnswer: -g + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 298*k + 273895 - 292371 for k.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 786 and 3961440.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -141 - -42 - 3 - -19.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18403 - 6181. Let x = 42778 + d. Round x to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47 - 47 + 30*o**2 to the form b*o**2 + t*o + j and give b.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**2 + 28*v + 6 + v**2 - 26*v - 166*v**4 - 4 to the form u*v**2 + l + b*v**4 + g*v + r*v**3 and give b.\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3423*v - 1 - 5310*v + 1888*v + 1.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-8\/7)\/(y**(-1)*y))\/((y\/y**3*y)\/y**(2\/13))*(y**8\/y*y)\/((y*y*y**3*y)\/y)*(y*y\/(y*y**7))\/(y\/(y\/y**(-2\/13))*y) assuming y is positive.\nAnswer: y**(-349\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2849.\nAnswer: 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*h, 29*t = 28*t + h - 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**2\/4 + 339835*m\/2 + 115487827225\/4 = 0.\nAnswer: -339835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -30.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -5\/2*t - 75\/4 - 1\/12*t**2 = 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21931400 to the nearest 1000000.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, p: 1, l: 1, v: 2, n: 2}. What is prob of picking 1 v and 3 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.08 - 4.92. Let r = 1.428 + -1.728. What is the second smallest value in 8, a, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7011 = 4*o + 5*q, -3*o - q = -6*o + 5263. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8300359 rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*o = -q - 5, 0 = 5*o + 5*q - 20. Let w(j) = -j + 2. Let h be w(o). Let t be (-2 - h) + 2*2. Let c(k) = -2*k + 2. Calculate c(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 8*l = -40. Suppose 312 = 3*q + 3*w, -3*q = -4*w + l*w - 317. Is q a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 679*u + 32. Let j(y) = -675*y - 26. Calculate 5*j(t) + 4*k(t).\nAnswer: -659*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 45863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*h = 4293, 5753 = o + 3*o + 3*h. Let q = -694 + o. Suppose 0 = 2*m - 0*m - q. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 61.87 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -11. Let o be (20\/15)\/(a\/9). Find the first derivative of r**o + 4 - 20*r**2 + 4*r**2 wrt r.\nAnswer: -30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6, 2, 16, 36, 62?\n\"Answer: 3*a**2 - a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.22 - 1.72. Let h = -0.5 + 0.4. Let z = 1.3 + 2.7. Which is the closest to h? (a) u (b) 1\/6 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-57*d + 901 - 901)*(-2 + 3 + 1) in the form j*d + h and give j.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + 3*y + 18, 46*n = 51*n + 4*y + 24 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 - -259. Let s = r + -232. Let x(i) = 8*i**2. Give x(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -2 + 1)*-2. Suppose -4*p + 15 = 5*y, m*y - 6 = -0*y - p. Suppose 5*w - 3*s + 2*s - 13 = 0, y*s + 3 = 3*w. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (1 - 7 - (-23 + 13))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 228 = -2*f. Let g(m) = -4*m - 3. Calculate the remainder when f is divided by g(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-3)*c)\/c**(2\/15))\/(c*c**(1\/2)*c**(2\/5)))\/(c**2\/c*(c\/(c*c*c**(2\/9)\/c)*c)\/c)**11 assuming c is positive.\nAnswer: c**(-1133\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-1 + -1 + 2). Let n be 7 - ((0 - 0) + s). Suppose -q + 3*t = n, -t = 2*q - 23 + 9. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 183205?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50*r**2 - 3*r**2 + 452*r + 239*r + 108*r wrt r?\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - m - m**4 - 422*m**3 + m**2 + 420*m**3 - 1 in the form w + f*m**4 + n*m**3 + b*m + j*m**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -27, -49, -67, -81, -91, -97, -99?\n\"Answer: 2*b**2 - 28*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45 - (0\/1)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -163*k - 134. Let o(g) = 33*g + 28. Determine 11*o(z) + 2*t(z).\nAnswer: 37*z + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 400 and 1520.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/(-12) - (-40292)\/112?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**3 - 87376*x**2 + 55818922*x - 8981057636 = 0. Calculate x.\nAnswer: 323, 43042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24014382 a multiple of 1802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26 and 3821452.\nAnswer: 49678876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and (1\/3 - 133\/57)*-16.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17, 2, 2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*a - 5966 + 4079 = 0 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 909 and -3.\nAnswer: -2727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 18*a**2 + 2476*a - 52544. What is l(22)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 838 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-18)*(-30)\/(-4). Suppose -3*c - 5*y + 2*y = -6, o*y = 5. What is the units digit of 4\/c + 4\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 6458\nAnswer: -25832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*s - 230 - 232 - 236 + 690.\nAnswer: -15*s - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476082.\nAnswer: 2, 3, 26449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 121 + 125 = 4*y, -y = s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2874851?\nAnswer: 7, 43, 9551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 275 - -594. Suppose -5*b + x + 5376 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**19\/x))\/(x*x**15) assuming x is positive.\nAnswer: x**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 19*l - 38. Let y be j(-16). Suppose 3*p + y = 5*p, g = -3*p + 22. Solve -27 = 5*d - g for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(2\/2)*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 37*b**3 - 2*b**2 - b. Let a(t) = t**3 - 78*t**2 - 159*t + 1. Let i be a(-2). Determine l(i).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 9*j - 7. Let f be k(10). Let m be (0 + -2)\/((-2)\/f). Suppose -3*i + 4*i - 226 = 3*l, -5*l = m*i - 720. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5701323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104000358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/125 and 33\/70.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344181433.\nAnswer: 79, 4356727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53301 + -53296. Let m = 47\/15 + -26\/15. Which is smaller: m or d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 23 + 31 = 0. Calculate the highest common divisor of 9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000998 rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 4*k + 4*k - 2)*(0 - 1 + 2) - 194 + 194 - 265*k.\nAnswer: -262*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**3\/3 - t**2 - 2*t. Let v be b(-4). Solve -v = p - 10 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d2590a (base 15) to base 7.\nAnswer: 150634204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -6) + 9 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -1. Let p(z) = -z**3 - 15*z**2 + 9. Let q be p(-15). Suppose f - q = l. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**5 + 4*q**5 + q**5 + (q**4 + 0*q**4 - 2*q**4)*(q + 0*q - 1 + 3*q).\nAnswer: 5*q**5 + q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6468 is divided by 924.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/(-20) + (-1)\/(-20)*-22 and 119\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12 + (1 - 0\/4). Suppose -s*v = -12*v - 5. Suppose 14 = -5*r - 5*x - 6, -r - v*x = 24. Solve 2*h + r = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w**2 - w + 6. Let i(m) = 3*m**2 - 3*m + 31. Let q(p) = -2*p**2 + 2*p - 22. Let j(f) = -5*i(f) - 7*q(f). Calculate h(t) - 2*j(t).\nAnswer: -t**2 - 3*t + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.83 - -1.82. Put -3, -0.12, m in increasing order.\nAnswer: -3, -0.12, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m - 172 + 169 + 2*m + (1 - 1 - 2)*(-m + m + m)*(-6 + 1 - 2).\nAnswer: 12*m - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180*z**2 + 2*z - 109*z**2 + 27*z**2 + 52 - 46.\nAnswer: -262*z**2 + 2*z + 6","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Convert -a58a9a (base 11) to base 10.\nAnswer: -1695682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 221 + -155. Let q = 68 - f. Factor 1\/5 - 1\/5*v**3 - 1\/5*v**q + 1\/5*v.\nAnswer: -(v - 1)*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 3172\/234 + 34\/(-51) + 26\/(-6)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -7. Let f = 58\/411 - -7\/274. Sort f, n, -4, 0.4.\nAnswer: -4, n, f, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*a + 38, 456*r - 3 = 459*r + 3*a. Solve -5*d + 16 = s + 6, 3*d - 34 = r*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(4\/11)*v\/((v**(-19)\/v)\/v)*v\/v**17*v**(-7) assuming v is positive.\nAnswer: v**(-7\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 539.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1028, 1037, 1046?\nAnswer: 1055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 13*p**2 - 89*p + 42. Let g(i) = -11*i**2 + 76*i - 43. Determine -7*g(a) - 6*u(a).\nAnswer: -a**2 + 2*a + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 4, -1\/6, 2\/5, 2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 357, 941, 1727, 2703, 3857?\nAnswer: 5177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.24 - 9.76. Let i = f + 9.9999. What is i rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44.0476 - -0.0116. Round d to one dp.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1368 = 11*c + 7*c. Suppose 0 = -80*s + c*s + 56. What is the least common multiple of (-212)\/(-18) + (-6)\/(-27) and s?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y**2 - 2*y. Let k be b(1). Suppose 0 = k*t - 14 + 6. What is the highest common divisor of 3 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -57834 and -617.\nAnswer: 35683578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (760\/50)\/((-1)\/(-5)). Let m be (6 + (-752)\/12)*(-6)\/5. Suppose -4*d + g = -m. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 5\/14 (c) -3 (d) -0.7 (e) 0.3 (f) 20\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 281767\/1881 - 329\/209. Let f = 148 - n. Let x = 24203 - 24208. What is the third smallest value in -1, f, x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10410.00012426 - 10410. Round f to 6 dps.\nAnswer: 0.000124","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3032211 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: What comes next: 5427, 10853, 16279, 21705, 27131?\nAnswer: 32557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x**2 - 7*x**2 + 0*x**2 + (-29*x + 9*x**2 + 29*x)*(1 + 5 - 3).\nAnswer: 25*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 721 (base 8) to base 13.\nAnswer: 29a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/234 and 53\/26247.\nAnswer: 157482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -2\/3, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11104 by -2776.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2268 divided by -9?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**6\/120 - z**5\/20 - z**4\/6 - 4*z**3\/3 - 3*z**2 - 59. What is m(5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 6 = -0*i + 4*i, 5*f = -2*i + 33. Suppose -i*r - 12 = 4*u, 15 = -2*r + 5*u - 5. Suppose 0 = -5*o + 2*o - 15. Is o at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -8 (c) -0.7 (d) -4 (e) 1 (f) 104\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(-k + k - k + 2*k - 3*k + 0*k + (0*k - k - k)*(1 - 2 + 3) - 1 + 1 - 2*k + (9 - 2 + 9)*(7*k - 5 + 5)).\nAnswer: -104*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2142 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((5 + sqrt(153) + 1)*-1)**2 + 2)*2.\nAnswer: 72*sqrt(17) + 386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*0.043.\nAnswer: 0.301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -477568*0.84.\nAnswer: -401157.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.497378 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2679)\/266 - 3\/(-42)) + 13. Solve -5*y - 12 = -o, -r*o = -2*o - y for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260761451273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 40. Suppose v = x - 23. Calculate the greatest common factor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/sqrt(18)*6)\/(1*sqrt(15)\/sqrt(5)*-6)*-2.\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574 is divided by 572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*c - 107*c = -69*c + 1608 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - x = 3. Suppose 12 = c + 2*j, 8 = c + 4*j - x*j. Let w = c - 3. Is 3 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1)*31\/((-837)\/(-1242)))\/((-2)\/(-4))?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/(4*sqrt(40)\/sqrt(4)))**2.\nAnswer: 19\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*m - 53 = 2*m, -4*p - 4*m = 68. Let g = 579 - p. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*s + 4 - 4)*(-5 + 2 + 0)*(4 + s**2 - 4) to the form h*s**3 + b*s + w*s**2 + g and give h.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 66252 and -0.058.\nAnswer: -3842.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 476 = w + 28*p, 4*p - 110 = 4*w - 42 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 4484 = 4*r - 4497, 2*r + 4 = -2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x - 19*x = 3*b + 24, 3*b - 16 = 4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -9 + 18, n + 1557 = 4*a. Suppose q - 653 + a = 0. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(60\/(-18) - -3). Let b(c) = -2*c**3 - 10*c**2 + 8*c - 8. Let n be b(i). What is the greatest common factor of 8 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -211*c + 211*c + 5*c**2. Let u(y) = -5*y. Calculate u(s(v)).\nAnswer: -25*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -75.775 + -690?\nAnswer: -765.775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -1884*u**2 + u - u + 1885*u**2. Let h(x) = -3*x**2 + 0*x**2 - 5*x**2. Calculate k(h(s)).\nAnswer: 64*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z - 2. Let s be f(-6). Let c(x) = x**2 - 2*x - 2. Let v be c(4). What are the prime factors of (-63)\/v*s\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 810783287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*q + 49 = 0, 97*o + 2*q = 87*o + 362. Calculate the greatest common factor of 4465 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + 85. Suppose 0*l + 2*i + 105 = 3*l, a = 2*l + 5*i. Let p = l - -4. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -2*y + 98*p - 97*p, 4*p + 20 = 0. Find the common denominator of (-103)\/(-6) + 0 + 1 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -23836, -22314, -20792?\n\"Answer: 1522*w - 25358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 340 = -410. Suppose -9*b - m = -4*b. What is the tens digit of ((-10)\/b)\/(2\/738)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 647293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s - 2080000 = s. What is s rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 1498 = 2*w, 4*p + 1070 = -4*w - 134. Let l be 3\/2*(-160)\/p. Suppose l - 8\/5*u - 1\/5*u**3 + u**2 = 0. Calculate u.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 172053 and 10458.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/52199 and -38\/763.\nAnswer: 5689691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 28 + 4*k - 4*k + 2*k + 0*k. Let a be g(-12). Solve 0 = -r + a for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 9:54 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 8809*i + 17572. Give w(-2).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 329820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3457*t - 8691*t - 19 - 16 + 35 + (3 - 3 + t)*(-4 - 2 + 5) - 4*t + 2*t + t.\nAnswer: -5236*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79830 and 46770.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -392 (base 16) to base 3.\nAnswer: -1020212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6243 + -6240. Solve 15 = 3*b, f = -h*b + 26 - 11 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j + 479 = 5723. Suppose -3*g + j = -88. What are the prime factors of g?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*g + 898 + 6352 = 0. What is the greatest common factor of g and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 c when two letters picked without replacement from {h: 4, d: 3, a: 2, b: 1, c: 6}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 63235 or 272?\nAnswer: 63235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 11 = 3*n. Suppose 3*z = a + z - 16, -z + 64 = 4*a. Suppose 0 = 4*x - a. What is the least common multiple of n and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w**2 + w - 1. Let u be y(1). Let m = -2 + u. Suppose 0*q = -5*q + 50. Solve -5*b - m*j - 6 = q, 4*b - 4*j = -32 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -84*g + 14. Let l(o) = -11*o - 15. Let x(n) = -21*n - 33. Let z(i) = 13*l(i) - 6*x(i). Calculate -3*f(y) + 14*z(y).\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2137622 * -1\nAnswer: 2137622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -164248 (base 10) in base 14?\nAnswer: -43c00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -8. Let s = 15 - c. Suppose -4*m + 2*t + 10 = 0, 2*t + 2*t - s = 0. Solve 0 = 2*r - r + 4*j - 4, 0 = r + 5*j - m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -217 - 299. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 514805, 2059066, 4632835, 8236112, 12868897?\n\"Answer: 514754*x**2 - x + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 22\/13, 44, -1466, -2\/3?\nAnswer: 22\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -12 (b) -3\/5 (c) 3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*b - 13*b - 23*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/sqrt(3)*3 - (sqrt(120)*2)\/sqrt(5))\/(2*sqrt(108)\/(sqrt(9)*1)))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/7 - 36*t**2\/7 - 8*t\/7 + 144\/7.\nAnswer: 2*(t - 18)*(t - 2)*(t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3596478 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.28 + 0.28000336. What is j rounded to 7 dps?\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 1\/7, 303 in decreasing order.\nAnswer: 303, 4\/5, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 14382 = 14366 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*g - 1182 + 29 = 387 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - 0.9. Let q be 5 - 3 - (-49 + 56). Which is the fourth biggest value? (a) k (b) q (c) 3 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -151*v + 1102. Let l be z(5). Solve 0 = 2*g - l + 351 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2740 - 2730. Sort -4, -3, p in decreasing order.\nAnswer: p, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 6 + 0 - ((19 - 11) + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*q**2 + 6*q**2 - 36785*q - 13*q**2 + 36783*q.\nAnswer: -74*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (-2)\/4)\/((-2)\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 4)*(1 - 3*c - 1 + (8 - 2 + 0)*(3*c - c - 3*c)) - 2*c - 2*c + 3*c.\nAnswer: -55*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 3*r + 11, 127958*r - 8 = m + 255916*r - 127955*r for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 273\/547 + 1\/1094. Let z be (32\/120)\/((-2)\/3). Which is the closest to f? (a) z (b) -1.2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 570 = 5*x - 2*x, 4*x - 3*m = 760. Suppose 7*j - 188 = x. Calculate the greatest common divisor of j and 216.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 2*c + 0*c)*(-418 - 158 + 837).\nAnswer: 261*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.40119 - 1.54306. What is d rounded to two dps?\nAnswer: -1.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2076*f**6 + 3*f**4 + 4*f**3 - 22*f**2 - 6528*f.\nAnswer: -249120*f**3 + 72*f + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.15 and 0.3025.\nAnswer: -0.045375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*g - 205 = -13*g. Let j(x) = -3*x + 4. Give j(g).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) - (1 + 1*sqrt(176) + sqrt(176)))**2 + 3 - (2 + 1*sqrt(539)*-4).\nAnswer: 36*sqrt(11) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -753 = -24*n - 129. Let c = 26 + n. What is the greatest common factor of 208 and c?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36917, 36929, 36941?\nAnswer: 36953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/3*(-15)\/8*(-28)\/5.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*i - 54*i + 16123 = 0. What is the remainder when i is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-21)*15*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 667 is divided by 458.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -13048 < 2861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/(14\/8).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*f - 10*f - 10*f**4 - f**3 - f**4 + 36*f + 2*f**2 - 10*f as l*f**2 + w*f**4 + n + t*f**3 + m*f and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 2. Let f(s) = -s**3 + 4*s**2 - 2*s + 5. Let z be f(4). Let v be z\/7 + (-64)\/14. Sort v, g, -3 in descending order.\nAnswer: g, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16955.5117061 - 16863.51171. Let a = 92 - p. Round a to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j - 6*j + 19*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.043*-2.\nAnswer: 0.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1024 divided by -64\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 3*d**4\/28 - 12*d**3\/7 - 45*d**2\/14 + 78*d\/7 - 237. Factor c(f).\nAnswer: 3*(f - 13)*(f - 1)*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0.4 (c) 0.1 (d) -1\/6 (e) 2\/7 (f) 32.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 3*v + 3. Let l(s) = -8 - 2*s - 2 + 9 + 3*s. Let u(q) = 2*f(q) + 6*l(q). Let o(r) = 5*r + 4. Calculate o(u(j)).\nAnswer: 10*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3039996662 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -13 + 3. Let o be (-24)\/(-13) - k\/65. Let g(d) be the second derivative of -d**5\/20 + 5*d**4\/12 - d**3\/3 - d**2\/2 + 2*d. Determine g(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 21844*j. Let n(s) = 4*s. Calculate n(q(a)).\nAnswer: 87376*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -55267\/948 and -57 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -324, 1, -2, 0, -21 in descending order.\nAnswer: 1, 0, -2, -21, -324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away 36.475464?\nAnswer: -42.475464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a micrometer in nanometers?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*k**3 - 94*k**3 + 181*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-92)\/(-414))\/(5\/(30\/(-4))). Which is the closest to 0.3? (a) s (b) 3\/7 (c) 7 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -578 or -577?\nAnswer: -578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -y**5\/60 - 17*y**4\/24 - 4*y**3\/3 - 22*y**2. Is 34 a factor of q(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(416)*4)\/((sqrt(2)*2 - sqrt(2))*2*-2).\nAnswer: 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 253 - 33. Suppose -216*n + y*n + 12 = 0. Which is smaller: n or -51\/13?\nAnswer: -51\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35122 - 20030?\nAnswer: 15052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c - 17. Let g be w(-3). Let y = 27 + g. Let f be 18\/(-4)*(-2 - y - -323). Round f to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -7)*(-44)\/66. Let w be (-3)\/(-9) - 11\/(-3). What is the greatest common factor of w and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r + 17 = -100 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4949 + 4783. Let k be -5*1*1804\/55. Which is bigger: k or v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -3655*p**4\/4 - 3199*p**3\/3 - 2448. What is the third derivative of r(x) wrt x?\nAnswer: -21930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 6:13 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25159*z + 50347*z - 12*z**3 + 5*z**3 - 25188*z + 3*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 707 and 505?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-18 - (-5 - 3)) + 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 2:58 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 4.2792?\nAnswer: 0.42792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 164178 - 820892\/5. Let w = 0.3 - 0.3. Let y = w + 0.2. Sort -1\/7, y, d, 3 in increasing order.\nAnswer: d, -1\/7, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 12 = 6. Let a be 3 + (-2 - t) - -2. Solve 2*p = -2*l + p + a, -5*l + 15 = 2*p for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*a = 198*a + 318. Let b = a - -165. What is the highest common factor of 15 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*m - 8, 0 = b - 0*b - 5. Let u be (-20)\/m - 2\/(-6). What are the prime factors of 10 - (1 - 1)\/u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 + 29*n - 361. What is v(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + v - 13 = 0, 2*v - 8 - 2 = 0. Let z be (-135)\/(-21) + (-24)\/56. Solve 0 = 3*k - 4*c - z, 0*c - 10 = a*k + 2*c for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-6) + (-22)\/30. Let f = 4.4 - 4.1. Let m = -63\/2 - -437\/14. Which is the smallest value? (a) f (b) m (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.2 + 14.8. Let w = -18.1 + x. What is the closest to w in 0.2, -1, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.49 + 0.01. Let g = -10 + k. What is the second biggest value in 0, g, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001441304 rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 90\/4*(25 - 27). Let y = b - -66. Find the third derivative of -y*n**2 + 44*n**3 - 15*n**3 + 2*n**3 wrt n.\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 574, 9478, 2 in ascending order.\nAnswer: 2, 574, 9478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(68)*6)**2 - (-1 + (sqrt(17) - (sqrt(17) - -2*sqrt(17))**2))).\nAnswer: -sqrt(17) + 2598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 - 4.95. Suppose -2*u - 2 = 4. Let g be 7\/u - 4\/6. Put g, 1, h in decreasing order.\nAnswer: 1, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 465\/(-1550)*(-120)\/(-228)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -4*m + 479. Let s(d) = d - 23. Calculate the remainder when ((-8)\/10)\/((-6)\/m) is divided by s(33).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 61692*x - 103444 wrt x.\nAnswer: 61692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17750\/11 smaller than -0.88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 345 divided by -1\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17167, -68749, -154735, -275125, -429919?\nAnswer: -619117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.1 - -7. Let h = 0.2 + 0. What is the nearest to y in 2, 3\/2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3834*x**3 + 79*x + 17?\nAnswer: -23004*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 22, -31, -84?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -22*b - 170. Let a(v) = 4*v + 34. Let j(m) = 14*a(m) + 3*q(m). Is j(-13) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7 + (2 - 1)*-1. Let g = q - -13. Suppose 11 = g*c + 1. Solve 3*k + 1 + c = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -20\/13, -4 in descending order.\nAnswer: 3\/5, -20\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**4 - 12*y**3 - 32*y**2 = 0.\nAnswer: -2, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 7 = a - 2, -21 = -5*u + a. Suppose -u*k - 4 = 8. Let p be (18\/15)\/(k\/15). Let i(j) = -2*j - 9. What is i(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 838062 by 6.\nAnswer: 139677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 56 (b) 5 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -819473, -819474, -819475, -819476, -819477?\n\"Answer: -v - 819472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**18)**(-21)\/(((u*u\/((u*u\/(u**(-39)\/u))\/u))\/u*u)\/u*u**(1\/14)) assuming u is positive.\nAnswer: u**(-4733\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/11)\/(3239\/178145).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/12*16)\/((-58)\/87)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p**2 - 8*p + 7. Let u be i(-2). Let r(y) = -4 - 2 + 5. Suppose -4 = -3*c - b, 3*c - 5*b - 1 = -3. Let m(q) = q + 3. What is c*m(s) + u*r(s)?\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -39180 divided by -3918\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5099864696 to the nearest integer?\nAnswer: 71413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 759 + 495. List the prime factors of b.\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -678 equal to -715?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (194\/(-5044))\/((-8)\/(-36)*(-3)\/(-4))\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 7015720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-1 + (-4 + 3 - 2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**8*n)\/(n\/n**(-7)))\/((n**7*n)\/n**(-6\/11)) assuming n is positive.\nAnswer: n**(-83\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 236 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -372400 to the nearest 10000.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 24.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*v**3 - 28*v**3 - 42*v**3 + 100*v**3.\nAnswer: 66*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0*l + l = 11, 2*l - 12 = -3*q. Suppose 3*i + q*m - 4 = -0, 2*m + 8 = 0. Suppose -i*n = -3*n - 19. What are the prime factors of n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is bb0a - -4?\nAnswer: bb10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -1. Let c(u) = -2*u - 4. Let a be 3*(2 - (-5)\/((-60)\/28)). Determine a*c(s) + 3*i(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1736 + -1723 - (0 + 18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*3\/(-3) - -22. Suppose -2*v = 4*t - 116, -4 = 3*t - l. What is the remainder when 189 is divided by v?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**3 + 0*z**3 - 9*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 11*h**3 - h + 1. Suppose 4*i + 2*y = 44, 0 = 2*i - 0*y - y - 22. Suppose i*r - 16*r = -5. Determine x(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -9*c**2 + c + 7. Let n(o) = 4*o**2 - 3. Suppose 4*x = -4*i + 24, 2*x - x + 36 = 5*i. Suppose i*h + 19 - 40 = 0. Calculate h*t(k) + 7*n(k).\nAnswer: k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.02 - 0.02. Let i = -1 - u. Which is the second biggest value? (a) -1\/7 (b) i (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 7, 1\/3, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79 and 1185.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3723834.\nAnswer: 2, 3, 620639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -171922*a*i**4*j - 507*a*i**3*j**2 - 2*a*i**2 + 3*a*i*j**2 - 42*a*i*j - 225*a*j**2 - 2*i**2*j**2 + 22*i**2 + 26*j wrt i?\nAnswer: -4126128*a*i*j - 3042*a*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + sqrt(7) + sqrt(7) + 1).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - (8\/2)\/(-4). Let n = 23 + -11. Suppose -2*g = 0, b*j - j - 2*g = n. What is the remainder when 7 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -66 + (-95 + 75 - (-16 + 8 + -5)).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14055 - -14055. Which is the fifth smallest value? (a) 1 (b) k (c) 0.3 (d) -0.8 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 s, and 1 q when four letters picked without replacement from {j: 3, q: 3, l: 3, g: 2, s: 3, f: 3}?\nAnswer: 27\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*i - 15*i - 704. Let m be (-315)\/(-20) - (-1)\/4. What is the highest common factor of i and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + 4*(sqrt(153) - (sqrt(153)*-2 + sqrt(153))) - sqrt(153))\/(sqrt(9)*3*-4).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 25 - 796?\nAnswer: -771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1429, 2893, 4413, 5989, 7621, 9309, 11053?\nAnswer: 12853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-12)*-3*(-16)\/8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.205 - -0.295. What is the smallest value in d, -8, 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162\/594*44*(1 - 0)\/(5\/1)\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/13))**(13\/6)\/(j**(-6))**(-2\/29))**50 assuming j is positive.\nAnswer: j**(-3250\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1807 - 1804. What is the third biggest value in c, -2, 7, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 16*j + 165. Let x(l) = l**3 + 12*l**2 + 12*l - 2. What is x(j)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/(-6)*(0 - -3). Let j = 25 + t. What is the lowest common multiple of 5 and j?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 142.5 + -51.5. Sort -3, z, -2\/7, -0.2 in decreasing order.\nAnswer: z, -0.2, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or 6.84?\nAnswer: 6.84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6\/5))**(-2\/11)\/(f**8*f**(2\/53)\/f) assuming f is positive.\nAnswer: f**(-19879\/2915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5*z - l - 21, -5*z + l + 24 = 0. Let a be (z\/(-15))\/(1\/(-3)). Find the first derivative of 0 + 4*u**4 - 6*u**4 + a wrt u.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 371 and 1.28505.\nAnswer: 476.75355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (325\/130)\/(45\/252).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((37 + 268 + 279)*(-3*h + 4*h + 3*h) - 2*h - 4 + 4)*(2*h + 2*h - 2*h).\nAnswer: 4668*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a day in seconds?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 756 = -2*z. Let l = 2 + 2. Let u be l\/(-18) + (-497)\/z. Are -1\/2 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4 = 29. Let k = 7 + -5. Suppose 3*p - 7 = 3*t - 25, 2*p + 4 = -k*t. Solve -5*l + g - 11 = 0, 2*l - 3 + a = -t*g for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 4:59 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (13906\/(-27812))\/((-2)\/4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-2\/45)*i*i*i\/((i\/i**(-2\/87))\/i))**46)**43 assuming i is positive.\nAnswer: i**(10380544\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1022 (base 5) to base 11\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of 1\/54*h**4 - 14*h + 5\/27*h**3 + 2\/3*h**2 + 0. Factor b(u).\nAnswer: 2*(u + 2)*(u + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -4 - 8. Let x = -4025 - -4031. What is the third smallest value in 9, x, q?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*f - 10*f - 52. Suppose -5*p + 2205 = 5*y, -y + f*p = -0*p - 436. List the prime factors of y.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 242 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/66 - (-5250)\/308.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-9) + 10566\/162. Suppose 0*r - j = -5*r. What is the remainder when r is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f - 107*f + 236 = -236. Put f, -3, 464, -5 in ascending order.\nAnswer: -5, -3, f, 464","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72905919 is divided by 2208?\nAnswer: 2175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -61305 or -61302?\nAnswer: -61302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 101000 (base 5) in base 13?\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 44*h**2 - 2*h - 2. Is 30 a factor of f(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -103 - 16500\/(-225) - (-3 - (-3 - (-2)\/(-6))).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12414 and 385235386?\nAnswer: 4138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.428 - -0.028. Let p = -170 + 170.1. Sort -2\/9, p, v, -1\/2.\nAnswer: -1\/2, v, -2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325791 smaller than -2\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-2*2)\/(6*sqrt(16)\/sqrt(4)).\nAnswer: -2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13300)\/950*(-5)\/(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 607104.\nAnswer: 2, 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 298.5289ml?\nAnswer: 0.2985289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256293261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 2*g**2 - 2. Suppose -a - 2 = 4. Let y(q) = -4*q + 2. What is the remainder when y(a) is divided by w(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 6*k + 10. Let c be s(7). Suppose -158 = -c*a + 205. Let z = a + -88. Is z a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 71*h**2 + 7*h + 44. Let r be y(-5). Suppose g + 7*g = r. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 0 + 0)*(3 - 2 + 1).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12174072 by -2.\nAnswer: -6087036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17, 0, -0.09, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 3:57 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8657 - -96?\nAnswer: 8742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -17, -4, -3783, 29 in decreasing order.\nAnswer: 29, 1, -4, -17, -3783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2001 is divided by 508.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 456316 + -5?\nAnswer: 456311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5*-3*18\/405 - (-692)\/(-462) and -117\/1232.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 36\/5 (b) 4 (c) 14 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -96, -199, -330, -483?\nAnswer: -652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 43 = 3*n. Let q(c) = -2*c - 5. What is q(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-174)\/(-45) - ((-132)\/(-45) - 3)*-2. Let m(u) = u**3 - 3*u**2 + 3*u**2 - 2. Let b(w) = w**3 - 2. Calculate i*b(g) + 3*m(g).\nAnswer: -g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 988618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/10 - 52\/(-5). Solve f - 3*y = 6*f - 23, -3*f + 2*y = -x for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*c - c**3 + 4*c**2 + 0*c - 2*c**2 + 4*c to j*c**2 + b*c**3 + a + n*c and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = m + 17, 2 = 4*v - m + 3*m. Solve 6*i - v*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -412, -855, -1498, -2341, -3384?\n\"Answer: -100*n**2 - 143*n - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*d**2 + 2597*d**2 - 4 - 2*d + 47*d**2 as b*d**2 + l*d + z and give b.\nAnswer: 2578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4\/3, 2, 0.2, -6?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3615 and 66351.\nAnswer: 79952955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3050\/1220*-9*(-16)\/(-120).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -v**3\/3 + v. Let p(x) = -4*x + 4*x - 11*x**2 + 10*x**2. Give l(p(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 8*i**2 + 9*i + 4. Let h be p(-9). Solve 5*q - 16 = h*g - 3, -2*q = -g - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1009 - 1004. Let c(z) be the first derivative of 4 + 0*z**r + 0*z**4 - 7\/3*z**6 + 5*z**3 + 0*z**2 + 0*z. Find the third derivative of c(h) wrt h.\nAnswer: -840*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**2 - 4*b**2 - 3*b**2)*(0*b - 2*b + b) - 1463*b**3 - 2887*b**3 + 6119*b**3.\nAnswer: 1772*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 257.99 rounded to zero dps?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 473765 and 474500 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 954\/(-204)) + 11\/(-110)*-15?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 8, y: 2, h: 3, l: 3}. What is prob of picking 3 z and 1 h?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -4\/9, -0.1, -1 in descending order.\nAnswer: 0.1, -0.1, -4\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 1005 and 1005 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1209471 divided by -3?\nAnswer: 403157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 238966069*r**2 - 74473*r + 888 wrt r?\nAnswer: 477932138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 5.4. Let a be (-2)\/3 - (-7)\/15. What is the second biggest value in z, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 - 34 = 2*m. Let r = m - -103. What is the highest common factor of r and 288?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*l*w**3 + 2*l*w**2 - 156*l*w + 16*l - 845152*w**3 wrt l?\nAnswer: -14*w**3 + 2*w**2 - 156*w + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 15 = 2*d. Let h = 4 - d. Solve -12 - 5 = 2*u - 5*w, -u + 5*w = h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*h = -0*h - 222360. Is h\/(-5 + 1) - 6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 - 15 = k. What are the prime factors of k?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 3. Let t(z) = -2*z. Suppose q - 4*b - 9 = 0, -6*b = -5*q - b. Let x be t(q). Give v(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 16 + 5*g**2 + 10 + (2*g**2 - g + g)*(0 - 4 + 2).\nAnswer: g**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 9*b**2 + 1. Let r be q(1). Suppose 3*h - r = -4*j, -4*j + 3 = 2*h - 5*j. Let s be h\/1 + -133 - 0. Round s to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 + -43 - (70 - 28)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (621791\/(-6))\/((-1)\/8 + (-88)\/2112) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86 - 35. Let c(p) = -1081*p + 2186. What is the remainder when d\/4*24\/9 is divided by c(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 75, 148, 221?\n\"Answer: 73*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*t. Suppose -2*c + 6*i - 3*i - 8 = 0, -4*c = -4*i + 8. Solve -z - c*z = t for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -492869?\nAnswer: -492870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3405900 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**3 - 50403718*x**2 + 100807440*x = 0.\nAnswer: -50403720, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12150 and 1485.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 7814*a**4 + 152*a**2 + 4*a - 10. Let n(f) = -4*f**2 + f - 1. Let g(p) = -c(p) + 3*n(p). Find the third derivative of g(s) wrt s.\nAnswer: -187536*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-6))\/((a\/a**21)\/a*a))\/((a\/(a\/(a*a**(-2\/33)\/a)))\/a**(8\/3)) assuming a is positive.\nAnswer: a**(195\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*y + 83 + 21, -5*y = 2*a - 289. Let l = 93 - y. What is the greatest common factor of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1378647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13893 = 154*u + 634*u + 23170 + 3125 for u.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13915007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5*i - 36 = 0, 1 = 2*i - 7. Suppose -d*q + 4 = -0. Calculate the greatest common divisor of q and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2866620471 to 5 dps.\nAnswer: 0.28666","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhm when three letters picked without replacement from {h: 4, m: 2, y: 6}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 m when four letters picked without replacement from {y: 6, m: 4, i: 3, r: 2, v: 1, u: 3}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -32?\nAnswer: -5\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/7 and 55\/2906?\nAnswer: 20342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 11030?\nAnswer: -11032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8628*k**3*n**2 + 50*k**3*n + 5*k**2*n + 2*k*n**3 + 7*k wrt n.\nAnswer: 17256*k**3 + 12*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25870054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*(sqrt(99) + -3 + sqrt(99) + sqrt(99) + -3*sqrt(99)))*-5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 1525*n - 85396. What is r(56)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9176441 millimeters to nanometers.\nAnswer: 917644.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 86, 86, 84, 80?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.6 - 704.\nAnswer: -701.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d + 1. Suppose -7*f + 5*f = -10. Suppose -f*z - 5 = -5*g, 0 = -0*g + g - 4. Let v be (10 - 8)\/(z - 1). What is k(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 2*c - 6. Let s(j) = 2*j + j + 2*j - 6*j - 1. Let v(l) = 3*s(l) - x(l). Let b be v(4). Solve -3*q = -0*q - b for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 11, g: 1, l: 5, d: 2, y: 1}. Give prob of picking 1 l and 1 g.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-1680)\/189 - (-2178)\/(-81)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 2*o - 9*o**3 + 11*o**3 - 2 - 2*o. Let q(j) = -2*j**2. Determine t(q(z)).\nAnswer: 24*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i**3 - 416*i**2 - 50*i + 2799. What is h(-83)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*p - 5*p + p)*(0 - 1 + 0)*(-3 - 7 + 5)*((4 - 5 - 1)*(0 - 2 + 3) + 191 - 235 + 169 + (-4 + 1 + 1)*(5 - 5 - 2)) to m*p + b and give m.\nAnswer: -12065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**2 + 7*i - 19. Let v(u) = u**2 + 2. Let y(w) = n(w) - v(w). Let q be y(-6). Calculate the greatest common factor of 51 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 5*x - 2. Let i be t(2). Let d be (0\/(-1))\/(16\/8). Solve i = -2*y - d for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3383 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 21*p + 40. Let f = 143 + -133. Let d be g(f). Round d to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (4 + -2) - (4 + -1 - 11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and -0.01899.\nAnswer: -0.13293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1347 divided by 4?\nAnswer: 1347\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -g + 3*g, -2*t + 4*g = -698. Let f = 1192 + t. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/9 + 74*q**2\/9 + 68*q\/3.\nAnswer: 2*q*(q + 3)*(q + 34)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 2*w + 115, -2*w + 20 = 2*u - 26. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-24) - 7\/21. Let r = -1204.3 - -1135. Let n = r + 69. Which is the smallest value? (a) -5 (b) -1\/2 (c) n (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m**2 - 60*m - 103. Let p(o) = -o**2 - 13*o. What is -l(s) + 5*p(s)?\nAnswer: -2*s**2 - 5*s + 103","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 53*f**5\/30 - f**3\/6 - 122*f**2. Let u(r) = -2*r. Calculate a(u(z)).\nAnswer: 424*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 14. Suppose x*d - 3*d = 0. Suppose d = -4*g - 4*v + 60, 2*v = 3*v. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 932*i**4 - 4*i**3 - 217345*i**2 wrt i?\nAnswer: 22368*i - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.61 less than 378?\nAnswer: 435.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 176374 (base 8) to base 2\nAnswer: 1111110011111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 8*y**2 + 9*y - 10. Let r be -3 - (-11 - (2 + -3)). Let l be o(r). Let k be -1 + l + 1 + -1. Solve s = -k*s + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45844621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = -665*u + 660*u + 3*w, -4*w - 28 = 4*u for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -u - 18, -3*u - 41 = -2*a + 1. Let i(m) = m + 12. Let r be i(u). Differentiate 4 - 2 - 3*w + r*w wrt w.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110110011 + 11101011?\nAnswer: -11001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-93)\/1860)\/((-1)\/((-30)\/4))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 166043*n**3 - 3653*n**2 + 2*n + 5.\nAnswer: 996258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w. Let g(h) = -163*h**2 + 3*h + 7. Let t(d) = -3424*d**2 + 64*d + 148. Let p(z) = -64*g(z) + 3*t(z). Calculate p(j(c)).\nAnswer: 640*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d**3 + 6*d**2. Let v(j) = -6*j**3 - 14*j**2 + 4*j. Let g(o) = 17*o**3 + 39*o**2 - 11*o. Let b(k) = 4*g(k) + 11*v(k). What is -8*b(t) + 3*c(t)?\nAnswer: 2*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 4, 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 158637209 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1259, -1274, -1315, -1394, -1523, -1714, -1979?\nAnswer: -2330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 16*f + 4. Let t be -21 + (0 - 1) + 6. Let h be p(t). Solve 0*m - m - 2*s = 5, 0 = 3*m - h*s - 35 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1245 + -1245.00887. Round f to four decimal places.\nAnswer: -0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -9 + 2 + -8 - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -220 - -413. Suppose 245 + u = 6*l. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c**3*g + 3*c**3 - 82*c*g**3 - 34 wrt g?\nAnswer: c**3 - 246*c*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 4*o + 71 - 1\/2*o**2. Give f(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -10*b**2 + 4 + b**2 + 8*b**2 + 3*b. Determine f(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3458 + 3422. Sort 0.5, a, -0.2, 3\/5.\nAnswer: a, -0.2, 0.5, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 216*-3.4\nAnswer: -734.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2676, 5584, 8506, 11448, 14416, 17416, 20454, 23536?\nAnswer: 26668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/64 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 12*q = 0. Let g(p) = 7*p**2 - 5. Let h(f) = -4*f**2 + 3. Let k(y) = 3*g(y) + 5*h(y). Let a be k(q). Which is bigger: a or -0.06?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11120 (base 3) to base 11.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*4\/28*-7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -36687 and -67082.391.\nAnswer: -103769.391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2508 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(-4)\/(-42) + (-32)\/(-14). Solve -7*o = -k*o - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (66\/(-231))\/((-7)\/(-294))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from elexxl. What is prob of picking 1 x and 1 l?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 + -48. Let b = 15 - 11. Suppose 4*z = -b + 16. Solve 0 = p - 2*m + 8, -2*m + c - 2 = z*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -738 - -8941\/12. Let z = -138101\/2130 + -1647\/71. Let g = 256\/3 + z. Calculate the common denominator of g and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -221 + -2?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/5, 49\/3, 38295?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.2, 4, -2, 0.01, -74?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1654 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 25*z**2 - 109*z + 205. Let w be p(-29). Which is the fourth biggest value? (a) w (b) -4 (c) -2\/13 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 273 and 32765369?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 198*s + 10469. Give u(-53).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 5*c - 156, 2*x + 5*c = c + 318. Suppose 0 = 7*k - 0*k - x. Let g be (-449 - 1)\/(k\/(-391000)). Round g to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.38484 + 3591702.63.\nAnswer: 3591713.01484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.105 and -94.1171.\nAnswer: 9.8822955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oxxxxox. Give prob of sequence oxo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 470777 = 115*c - 424498. Is 173 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 72*j**5\/19 - 8070*j**4\/19 + 16586*j**3\/19 - 9460*j**2\/19 - 8*j\/19 + 880\/19 = 0.\nAnswer: -1\/4, 2\/3, 1, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 25\/4 of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 20\/13 (b) -0.01 (c) -636 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -0.2, -0.15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2*u + 19 = 0, -u + 3 = -3*z + 2*u. What is the common denominator of z and 47\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 237 - -2?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**3 - 27*m**3 + 4*m**3 + 0*m**3.\nAnswer: -19*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (38 - 37) + (-13 - -9 - ((1 - -71) + 3))\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 0. Let m(o) = o**3 - 6*o**2 + 7*o + 3. Let r be m(5). Suppose 17 = r*j - 48. Calculate the greatest common divisor of j and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15349 <= -15350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 15*d**2 - 40*d - 137. Let u be t(-13). Are 47 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 3*i + x + 4, -28 = i + 4*x for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12462 + -12464. Sort 1.2, 4\/3, 0.4, i, -5.\nAnswer: -5, i, 0.4, 1.2, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1360, 5433, 12220, 21721, 33936, 48865, 66508?\n\"Answer: 1357*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*r + 20 = 0, 5*g + 3*r - 36 = r. Calculate the lowest common multiple of g and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37*g**2*o**4 + 4*g**2 + g*o**2 + 73*o**6 + o**3 + o**2 - 5*o wrt o.\nAnswer: 888*g**2*o + 8760*o**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -16696.8*-0.55\nAnswer: 9183.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11615 = -s - 5*m + 62445, 0 = 3*s - 5*m - 152370. Is s a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 1:14 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i. Give w(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2285376 smaller than -15997640\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - k - 1. Let x(z) = z**3 - 79*z**2. Determine 2*u(c) + 2*x(c).\nAnswer: 2*c**3 - 156*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (198\/(-45))\/((-4)\/38470 - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -5, 581, -8, 1.\nAnswer: -8, -5, -3, 1, 4, 581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2612 - -2608. Let s = 0.07 + -0.07. What is the nearest to -0.1 in -8\/13, c, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.4 from 22835.22.\nAnswer: 22831.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7698 is divided by 320.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d**2 + 3933. Let x(k) = -39*k**2. What is u(x(h))?\nAnswer: 7605*h**4 + 3933","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*d - 6*d - 6*d + 10 - 19*d**4 - 7 - 11*d**2 wrt d.\nAnswer: -228*d**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s + 3 - 3)*(-2044 + 6696 + 3398) to the form q + y*s and give y.\nAnswer: 8050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 9. Let i = 2 + 0. Suppose -5*m + i*a + 3 + b = 0, -9 = -3*m - 3*a. Sort m, -3, 1 in descending order.\nAnswer: m, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1470 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.2 + -11. Let h = -744.95993 + 744.16. Let s = z - h. What is s rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 161 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/9285 and 77\/315690?\nAnswer: 315690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19555474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15706035.\nAnswer: 3, 5, 116341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -251.4 + 251. Which is the smallest value? (a) 1\/2 (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 9 = 3. Suppose 1518*n - 498*n + 2040 = 0. Sort 6, n, z in ascending order.\nAnswer: z, n, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f + 1. Let p be i(-1). Let y be (-2 - 1)\/(p\/(-3)). Suppose y*t - 5*k = 23, 5*t - 4*k = -5*k + 29. Let r(z) = 2*z - 3. Calculate r(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*d + d. Suppose -111 = -3*a - 3*v, -8*a = -6*a - d*v - 95. What is the least common multiple of a and 128?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*b + 2290 = 36*b - 5*o, b = 4*o + 5 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*w + 38. Let u(p) = p**2 + 702*p + 43705. Let a be u(-69). Calculate the greatest common divisor of a and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*y - y + 4*y to the form f + q*y and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2383605636?\nAnswer: 2, 3, 73, 659, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 - 120090*t - 1201800675.\nAnswer: -3*(t + 20015)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -47471188 - 1?\nAnswer: -47471200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 1297 = -1303. Which is smaller: 177 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5809 = -v, 29045 = -11*v + 16*v - 2*h. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 3 - 1. Suppose u*k + 45 = 4*k + 3*h, 4*k - h - 83 = 0. Calculate the highest common factor of k and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3037435789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 a when four letters picked without replacement from wwwwwwwwwwwwwwwwwaww?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11892144 divided by 90092.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 43 = 2*x, 0*x + 3*i = x + 6. Suppose n - x - 1 = 0. Suppose -97 = -4*l + 23. Calculate the lowest common multiple of l and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -185\/16 + 1311\/112. What is the third smallest value in -163, -5, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -400 divided by 28\nAnswer: -100\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -43122 (base 8) in base 6?\nAnswer: -215202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 136, -128.9, -3, -2\/19?\nAnswer: -128.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2323086, -2323087, -2323088, -2323089?\nAnswer: -2323090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3292 - -3145 - (-118 + 3)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-three fifths of a centimeter?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 2*h + 3. Let m(t) = -t**2 - t + 3. Let l(i) = 4*m(i) - 3*x(i). Let n be l(3). Let q = -1\/2 + n. Which is bigger: -2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-2))\/(((-33)\/(-468))\/11). Suppose 0 = 5*r + 15, -5*c = -r - r - u. Suppose 0*d = -6*d - c. Which is smaller: -7 or d?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*o - 63*o + 27027 = 88*o. Solve 99*c = 22*c + o for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245091130 to the power of 1\/2, to the nearest integer?\nAnswer: 15655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 104 + 27 = -22 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 3*u**2 + 3*u. Let n be j(4). Let x be 0\/(-2 + (-3 - n)). Suppose -p - p + 5*o = 31, x = 4*p - 5*o + 37. Does 3 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/10 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2062512 divided by 205.\nAnswer: 2062512\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppipisuusspspsuf. Give prob of picking 4 p.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -7*g - 2. Let k(v) = -90*v - 27. Suppose -85*f + 88*f = -81. Calculate f*h(m) + 2*k(m).\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - k - 55 = 0, -v + 4*k + 19 = -3. Let d = v - 3. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 6*u**2 + 4*u + 1. Let t be s(-7). What is the greatest common factor of t and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 13. Let q be r(-8). Let k = 4 - 7. Let w(v) = -v**3 - 2*v**2 + 5*v + 4. Let m be w(k). Put m, q, 4 in increasing order.\nAnswer: m, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 3*l - 1. Let n be h(6). Let o = n - -136. Calculate the highest common divisor of 17 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 6:53 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = -4*y + 1488. What are the prime factors of y?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3591)\/(-1995))\/((-12)\/(-10)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/40*4\/2\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a68 (base 12) to base 13.\nAnswer: 235a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 1:45 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105 - 12*(-18)\/12)*(-2)\/(-6)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5*l + 5, -7 = 5*l - 2*d - d. Calculate the remainder when 43 is divided by (-1 - (-65)\/(-10))*l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.56, 1, -0.3, 6 in increasing order.\nAnswer: -0.56, -0.3, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0\/m)**18\/((m*m\/(m*m\/((m*m\/m**(-5)*m)\/m)*m))\/m**(2\/7)))\/(m*m**2*m**1*m*(((m*m*m*m**(-2\/5)*m)\/m)\/m)**36) assuming m is positive.\nAnswer: m**(-3021\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-3 + 1 + 4)) + (39 - 1).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -2*l - 40 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 4*y + 85 = 77, 3*t + 5*y - 10 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -172*x + 16. Calculate o(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 659572889?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*i + 21 = -i, -4*i - 20 = 0. Let m = -6 + r. What is the remainder when m is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 244*s**5 - 3*s**3 + 4*s**2 + 57. Let g(v) = -244*v**5 + 2*v**3 - 3*v**2 - 56. Let k(r) = 3*g(r) + 2*m(r). Find the third derivative of k(b) wrt b.\nAnswer: -14640*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3\/2, -4, 19.9, 2\/9, 1.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 19*j**2 - 2*j - 85 + 89. Does 28 divide f(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 27289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 430405 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 - 1. Let t = -315.06 + 315. Put t, l, -2\/11, 3 in decreasing order.\nAnswer: 3, t, -2\/11, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 132433 + -5?\nAnswer: 132425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, h: 4, x: 1, r: 3, c: 1, k: 1}. What is prob of picking 1 r, 1 c, and 2 z?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 44706722 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -12*y. Let g(v) = 23*v. Determine -3*g(c) - 7*t(c).\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -34331 times 827?\nAnswer: -28391737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - ((4 - -4) + (1 - -2) + -13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18058 - 18054. What is the closest to -1 in 0, -2\/3, s, 6.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195929 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -134654, -134655, -134656, -134657, -134658?\n\"Answer: -b - 134653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150 and 165?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1019, -4064, -9139, -16244, -25379, -36544, -49739?\nAnswer: -64964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 58 divided by 891\nAnswer: 58\/891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-4*sqrt(882) + 5 - (sqrt(882) - (2*-3*sqrt(882) + sqrt(882) - sqrt(882)) - sqrt(882)))*-2)**2.\nAnswer: -2117400 + 50400*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**2. Let m(c) = 37*c**2 + 2. Calculate k(m(d)).\nAnswer: 4107*d**4 + 444*d**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*m + 20 = 0, 3*b + m - 3 = 2. Suppose -36 = -4*k + p, b*k + k = 4*p - 6. Calculate the remainder when 37 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -272 (base 8) in base 13?\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292 = 49*o - 3820. Suppose 3*y = -y - 84. Let m = y - -40. Calculate the remainder when o is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, -11, -73, -79?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 3\/10, 1, 17\/15, -2\/7, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + -4 + (-3 - -4). Let o be 2\/((1 - u)\/4). Sort -2, -5, o.\nAnswer: -5, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (871\/(-39))\/((-1)\/6) is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 123\/22?\nAnswer: 123\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 47247.\nAnswer: 1\/15749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1901 + 7*u - 6*u**2 + 1894 - 2*u**2 - u**2 to the form n*u**2 + h*u + o and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 124*a**2 - 89*a + 10864. Determine h(124).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -359*w + 120*w + 360 + 120*w + 120*w. Is h(0) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-7)\/(-14))\/(-1 - -3). Let p = 14 + -9. Suppose 0 = 5*x - 3 - 12. Put d, p, x in decreasing order.\nAnswer: p, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -21, 82641.\nAnswer: -21, -3, 82641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 10053392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61806*q**3*x + 4*q**3 - 257649*x wrt q.\nAnswer: -185418*q**2*x + 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millennium in years?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10662.\nAnswer: 2, 3, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10 (b) -0.1 (c) 8 (d) -0.4 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9288956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a meter in millimeters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000014394 to six dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -28c (base 13) in base 3?\nAnswer: -121211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -20*i - 3. Suppose 34 - 14 = -4*v. Is y(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1400*u**2 - 63*u**3 - 2 - 60*u + 59*u - 1400*u**2 as d*u**3 + p + v*u**2 + n*u and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111220659?\nAnswer: 3, 11, 41, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -633*x**2 + 1266*x**2 - 639*x**2 + 36 + 8.\nAnswer: -6*x**2 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -446, -452, -460, -470, -482, -496, -512?\nAnswer: -530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 + -0.3. Let h = 0.94 - -0.87. Let d = h - 1.91. What is the closest to 1\/2 in 5, d, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/54*-12*(-1)\/((-42)\/(-13608)*36)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (-9 - (-9 + 35 - 10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.412724m in nanometers?\nAnswer: 3412724000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 232\/87*(-6)\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*d**3*n**2 - 2*d**3 + 92*n**2 + 1440 with respect to n.\nAnswer: -32*d**3*n + 184*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49975, 50377, 51047, 51985?\nAnswer: 53191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 2 (c) 1\/2 (d) 0.65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 2\/15, -24, 7, 5, -35?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -4. Let g(c) = 0*c**2 - i*c - c**2 + 0*c + 2*c - 6. Let q(j) = 2*j**2 + 4*j + 11. Let n(y) = y**2 + y - 19. Let f be n(-6). Give f*g(o) + 6*q(o).\nAnswer: o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of x**3 + 84*x**2 - 12*x wrt x.\nAnswer: 6*x + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 150302 + -1221?\nAnswer: 145041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9619954 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2355, -4727, -8679, -14211, -21323?\n\"Answer: -790*w**2 - 2*w - 1563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3677 + 3677.7. Which is the biggest value? (a) 0.9 (b) u (c) 2\/3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14c5c (base 13) in base 2?\nAnswer: 1001101000011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**2\/w*w))\/w)**26 assuming w is positive.\nAnswer: w**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 12*w + 9 = 0. Suppose -5*h = -k - 22 - 16, 0 = -5*k + 10. Which is greater: h or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118720?\nAnswer: 2, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 936940.8 litres to millilitres.\nAnswer: 936940800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/224 and 169\/7056.\nAnswer: 14112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111011 + 110000101?\nAnswer: 1000000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**2 - 2*d - 96*d**2 + 3*d.\nAnswer: -104*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363740*a + 1007 = 363759*a for a.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3603 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9892721.\nAnswer: 719, 13759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 113 - 74. Let x = 69 + u. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1509869041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 449 = -461. Let x = p - 88. What is the nearest to -1.1 in -5, 0.2, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a - 240 = -14*a. Suppose a = 21*f - 45. Solve 0 = i - 0 - f, 2*s - 18 = -4*i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 14 = 4*t - y, 2*y - 2 = 0. Suppose c - 10 = t. Let w be (10\/(-25))\/(57\/c). Is w >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -7\/12*h**4 + 8\/9*h**3 + 0*h + 47 - 1\/6*h**2. Factor p(w).\nAnswer: -w*(w - 1)*(7*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-1*(-2 + 4) - (-15)\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i - 187*i - 2 - 288*i to r*i + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 135 and 40?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28230*v**2 - 28231*v**2 + 105 - 27 + 11*v**3 to x + h*v**3 + m*v + r*v**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**3\/4 - 241*z**2\/4 = 0.\nAnswer: -241, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5132 + 3467 + 11119 + 6553)*(2*r**2 + 2 - 2).\nAnswer: 52542*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 863269 greater than 863267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/4)\/j**(-3\/5))**(-2) assuming j is positive.\nAnswer: j**(-7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -90 divided by 176\nAnswer: -45\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 642989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 289794 and 3426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 735598 is divided by 224?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 7\/9, 0.3, -1\/11, -10 in descending order.\nAnswer: 18, 7\/9, 0.3, -1\/11, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3\/7 + 702884*w**2 + 1512904911904*w\/7 - 68090684780880\/7.\nAnswer: 4*(w - 45)*(w + 615046)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**3*k**3 + 5*b**3 + 31*b**2*k**4 + 2*b*k**2 + 16*k wrt k.\nAnswer: 6*b**3*k + 372*b**2*k**2 + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) - (sqrt(190)*1*6 + sqrt(190) - sqrt(190)) - (sqrt(190) - -1*sqrt(190)*-2))\/(sqrt(30)\/(2*sqrt(300))) + -4.\nAnswer: -80*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.33 and 17?\nAnswer: 5.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100000110100 + -10010?\nAnswer: 110100000100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.22 - -0.08. Let f = 1.4 - 11.4. Let n = 14 + f. What is the second biggest value in 0.5, n, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -77731, -77695, -77659, -77623, -77587?\n\"Answer: 36*a - 77767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1960798?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 36bca6 (base 13) to base 11\nAnswer: 816452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 21553?\nAnswer: -21552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -132*s**2 - 4*s**2 - 129*s**2 - 72*s**2 - 155*s**2 to the form m*s + q*s**2 + b and give q.\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 11*x - 18. Let r(d) = -d. Determine r(z(t)).\nAnswer: -11*t + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42 - 23209*t**4 + 23221*t**4 + 7*t**3 - 2*t**2 - 2*t**2 wrt t?\nAnswer: 288*t + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13542720 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 11 = 22*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 5:06 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.01 (b) -0.3 (c) 0.47 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9531*a**2 - a - 16880 wrt a?\nAnswer: 19062*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dddddldd.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3523160?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 321, 2878, 9809, 23298, 45529?\nAnswer: 78686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 5, x: 8}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(3\/5))\/v*v*v*(v**(-2\/53)\/v)\/v*(v\/(v\/(v*v**(-14))))\/v**23)**(1\/7) assuming v is positive.\nAnswer: v**(-1387\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 7. Suppose -b*n = -5*n. What is the nearest to -1 in 5, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 z when three letters picked without replacement from ezozeozzzoinzoozz?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3874.2 and -1.\nAnswer: -3875.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(891) - sqrt(891)) + 2*(4 + sqrt(11)) - (-4*sqrt(539)*2 + (sqrt(539) + -1)*-1))**2.\nAnswer: 910*sqrt(11) + 46524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - o = r + 44, 2*o - 5*r = 300 - 32 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**4 - 3*t**4 - 2*t**4 + (840 + 52*t - 840)*(0*t**2 - t**3 + 0*t**2) as p*t**3 + m*t**2 + d*t**4 + r*t + y and give d.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*m + 54. Let x = -82 + 55. Let n = 3 - x. What is the remainder when n is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(-6) - 18\/12. Suppose u = -5*r + 38 - 13. Suppose l - 12 = -r*l. Which is smaller: 3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p + 5. Let b(z) = -51 + 8*z - 49 + 86. Give -11*a(x) - 4*b(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/2808 and -69\/24544.\nAnswer: 662688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2468 (base 10) in base 6?\nAnswer: 15232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -375 - 206*q + 375 + (-2 + 4 - 1)*(2 - 2*q - 2) to n*q + w and give n.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h + 60 = 4*h. Let g = 181 + -177. Put h, -2, g, -4 in descending order.\nAnswer: g, -2, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -11 + 16 + (-13 - (-9 + 3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82338102*r**2 + 82338105*r**2 - 164676209*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/90*5)\/(4*(-4)\/(-32)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -64.8 and -594?\nAnswer: 38491.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 21740, -23 in descending order.\nAnswer: 21740, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 2*b + (3*b + 2*b - 3*b)*(0 - 1 + 3) + b - 4*b - 4*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70003524 is divided by 10218.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 31897387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -193, -356, -519, -682, -845?\n\"Answer: -163*z - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 84340913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8414239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {d: 9, t: 11}?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3186642691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -27a90c - -12b?\nAnswer: -27a7c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + 4*j**3 - j**3)*(-32915 + 32915 + 2974*j**2).\nAnswer: 5948*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u**2 + 9*u + 5. Let g = -4 + -2. Is m(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 23. Let n be (1\/(-1))\/(1\/i). Let v = n - -15. What is the highest common factor of 35 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -u**3\/3 + 3*u**2\/2 + 2*u - 1. Let f be -1 - -13 - 9\/3. Suppose f = m + 5. What is x(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2948 is divided by 118?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93889 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179909488.\nAnswer: 2, 11, 487, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5599183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12698 + 3707 = 1116*w - 4498 - 14809 for w.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54)\/sqrt(3) - sqrt(4)\/(sqrt(32) - sqrt(2))) + -5)**2.\nAnswer: -80*sqrt(2)\/3 + 353\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 368964425 to the nearest integer?\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 56\/(-12) + (-1)\/3. Let y(z) = -z**2 - 4*z + 7. Let b be y(n). Suppose t - b = 2*t, t = 5*h - 17. Sort -5, h, 5 in descending order.\nAnswer: 5, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w - 16*k + 12*k = 24*w - 46, -36 = -4*k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1100, 18910 in descending order.\nAnswer: 18910, -5, -1100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u + u + 0*u + (-2*u - 2*u + 2*u)*(2 + 4 - 4) + 1 + 2*u - 1.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g + 6. Let m be d(5). Suppose 0 = -p - m - 38. What is p rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2 + 3*i**3 + 5*i**3 + 2 + 10 wrt i.\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 1 - 15*(-3)\/(-63). Which is the closest to -0.2? (a) i (b) -4\/9 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.86 - 67.86. Let q = y + 66.99965. What is q rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/9 (b) -0.1 (c) -2\/11 (d) 6 (e) -18 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4839978)\/(-11) - (-1 + -1). Round s to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -558*p + 66598 = 330*p - 367*p + 417*p for p.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-25)\/(-6) + (-1)\/6. Suppose r = -r - w*q - 16, r - 3*q - 12 = 0. Let n(i) = i + 53. Is n(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1820*u - 22398 = 99542 for u.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -229 - -228.5. What is the closest to 0.3 in l, 0.5, -2.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20441503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/128 and (-20 - (-60750)\/3040)*6\/4?\nAnswer: 2432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -0.3, -0.73, -0.64?\nAnswer: -0.73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 4*p + 40. Let g be (-15)\/p - 1\/4. Let i = 2 - g. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4017 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -353, -659, -965, -1271, -1577, -1883?\n\"Answer: -306*n - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/2*(-44)\/154\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 23 = 4*c + 1, 5*w + 5*c - 60 = 0. Let t = -44 - -125. What is the highest common divisor of w and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/42 - (-1528)\/16044.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*f**2*l + 15729*f**2 - f*l - 115099*l wrt f?\nAnswer: -6*f*l + 31458*f - l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**4 + 0*a**4 - 2*a**4)*(-2*a - a + 2*a) + 6*a**5 + 3*a**5 - 3*a**5 - 31*a**5 + a**4 + 23*a**5 + 86*a**5 + 2*a**5 + 4 - 4.\nAnswer: 88*a**5 + a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(150))\/sqrt(3) - 1*sqrt(50)*-4) + 3.\nAnswer: 3 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -75.\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.03, 1\/3, -2, 4, -1\/5, 4\/5, 2\/21?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 10*u - 1. Suppose 3 - 1 = h. Let b(i) = i**2 - 11*i - h*i**2 + 14*i**3 - 7*i**3 - 8*i**3. Let r(v) = -5*b(v) - 6*x(v). Calculate r(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/2 - -31\/18. Which is the biggest value? (a) -2\/5 (b) l (c) -1\/376\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 4*m**2 + 4*m - 14. Let a be v(4). Suppose 2*z + 20 = a*b - z, 20 = 2*b + 2*z. What is the lowest common multiple of 30 and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2719.\nAnswer: 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**(-1\/4)*c**(3\/29))\/(c**(-7))**(6\/17))**(-18\/5) assuming c is positive.\nAnswer: c**(-85617\/4930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9501 + 15430. Does 23 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 102249235 to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/4*(-7 + 3). Let k(u) = 8*u**3 - u**2 + u - 1. Is k(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -3*q, q + 12 = 115*y - 115*y + 12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84329 is divided by 14050.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g. Let p(s) be the first derivative of s + 6. Let d(n) = 6*l(n) - p(n). Differentiate d(u) wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1022 (base 7) to base 4.\nAnswer: 11213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/(-8)*7399\/(-23254).\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*2*sqrt(540)*-3)\/((sqrt(432) + -1*(sqrt(432) - -2*sqrt(432)))*-4))**2.\nAnswer: 45\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 421)*1\/15. Let o = -1199\/30 - t. Find the common denominator of (-25)\/(-6)*(-9)\/(-2) and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 5*i + 3. Let h(z) = 6*z**2 - 2. Let c(f) = f**2 + f - 1. Let a(v) = 5*c(v) - h(v). Let l(k) = 6*a(k) + 7*n(k). Give l(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/69)\/h**(-5\/7))**(13\/7) assuming h is positive.\nAnswer: h**(4394\/3381)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -1401?\nAnswer: -1385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 713, 759\/19, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t**3 + 25285*t**2 + 12*t - 68 wrt t.\nAnswer: 12*t + 50570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*q - 2*q - 2*q)*(-q + 2*q + 0*q) - 34*q**2 - 5*q**2 - 8*q**2 in the form d + h*q**2 + a*q and give h.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 74, 176, 364, 668, 1118, 1744?\nAnswer: 2576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 74 - 5 - (960\/(-48) - 5)\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-46)\/(-120) - 24\/180. Suppose 1\/4*a**2 + 0*a + 0 - k*a**3 = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2493\/114962?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4\/9 + 4758362*n**3\/9 + 14274978*n**2 + 128474478*n + 385422948.\nAnswer: 2*(n + 9)**3*(n + 2379154)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -y**4\/4 - 4*y**3 - 3*y**2\/2 - 14*y + 38. Calculate the remainder when 41 is divided by n(-12).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -7\/9*i**4 + i**3 + 5\/9*i**2 + 2\/9 - i = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 2 - 1)*(-p + 0*p + 5*p + (-1 + 1 - 1)*(16 + 7*p - 16)) as q*p + u and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + p - 5*p)*((-5*p + 4*p + 0*p)*(-4 - 1 + 3) + p - 2*p + 2*p + 0*p - p + 0*p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200120202002121 (base 3) to base 2.\nAnswer: -100101101011000101111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**4\/24 + o**3\/3 - 2*o**2. Let c be 4\/8 + (-50)\/4. Let l be (2 - -10)*(-4)\/c. Calculate f(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 2*z + 2*o - 3*o = -9*z + 38, -4*o = -o + 84 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/4*(-4)\/(-2). Suppose 0*r = o*r + 15. Is 81 - (4 + r)*-1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -487 (base 11) to base 14\nAnswer: -2d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*s + 30*s**2 - 12*s + 24 - 9*s**2 - 16*s**2 - 19*s**2 = 0.\nAnswer: -12, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**3\/6 + 29*h**2\/6 + 8*h\/3 - 232\/3 = 0. What is h?\nAnswer: -4, 4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 s when three letters picked without replacement from {s: 10, o: 10}.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-55*n - 50 + 50)*(-2*n + n + 2*n) - 2 + 2 - n**2)*(n - 2*n - n).\nAnswer: 112*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2726\/9 + -302. Suppose -5*g + g = 284. What is the common denominator of g\/5 + (-5)\/(-25) and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34.94 * 112\nAnswer: 3913.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11123\/2 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 71, 121, 171?\n\"Answer: 50*r + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 37*y + 55. What are the prime factors of a(34)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -144 + 102. Let r be 2\/7 - 198\/x. Calculate the highest common factor of r and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 2*u**2 + 2*u - 4. Suppose 0 = -4*i + 4*t + 12, -3*i + 14 = -5*t + 1. Let o be (-31 - -28) + i + -1 + 0. What is x(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7463 + 7466. Factor -7*w + 69\/4*w**2 - 35\/2*w**u + 1 + 25\/4*w**4.\nAnswer: (w - 1)**2*(5*w - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/8)\/((-513)\/912)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (4 + 3 + sqrt(4)\/sqrt(2) - (-6*-2*sqrt(2) + 0 + sqrt(2)*2))*6 + 1)**2.\nAnswer: -5928*sqrt(2) + 13612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 31 = -3*l. Let q = l + -4. Suppose 3*f + 19 = 3*c - q*c, -c - 5*f + 51 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 13175 (c) -2\/23 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 197636.8l in millilitres?\nAnswer: 197636800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2777808\/23 or 120773?\nAnswer: 2777808\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 46244266 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 356652 (base 7) to base 16.\nAnswer: fd2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44829360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65 + -62. Solve -h*d + 1 + 8 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2858 divided by -50876\nAnswer: -1429\/25438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 2*j**3 + 3*j)*(-5 + 5 + 13*j) - 4*j + j**4 + 4*j + (-3 + 5 - 1)*(j**3 - j**3 + 2*j**4).\nAnswer: 29*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, h: 1, u: 3, i: 2, o: 3}. Give prob of picking 1 i and 1 o.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 0*g**3 - 1\/4*g**4 + 0*g**7 + 1\/112*g**8 + 0*g**6 + 0*g**5 + 0*g - 5*g**2 + 0. Find the second derivative of y(k) wrt k.\nAnswer: 60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 7*l**2 + 2*l - 10. Let v be j(7). Suppose 5*m = -4*o + 2, -5 = 3*o - v*m + 9. Is o bigger than -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3634, 2, -5, -2, -3, -1 in increasing order.\nAnswer: -5, -3, -2, -1, 2, 3634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3\/11388110?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 153957444.\nAnswer: -153957442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zlzc when four letters picked without replacement from {t: 1, q: 1, z: 2, c: 1, y: 1, l: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 0.177\nAnswer: -0.0531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m + m + m + 0 - m + 0 - 2*m + 3*m + 0*m - 4 - m + 4 + (2*m - 2*m - 2*m)*(-1 + 5 - 3) - 2 + 2*m + 1 + 7*m.\nAnswer: 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1293?\nAnswer: 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - i - 3*i)*(0*i + 0*i + 2*i) + 1105*i**2 + 503 + 3083*i**2 - 503.\nAnswer: 4186*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 218573*s*z**2 - 157600*z**2 + 2*z - 3 with respect to s.\nAnswer: 218573*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 589?\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -224, -1030, -2376, -4268, -6712, -9714?\n\"Answer: -t**3 - 264*t**2 - 7*t + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 7*j + 4. Suppose -3*a - 4*t - 43 = 0, 2*a - 4*t + 83 = -a. Let q = 18 + a. Give v(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -282b - b?\nAnswer: -2837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2171 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: Solve -102*w = -76*w + 78 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {f: 6, e: 1, q: 3, g: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -6*k + 2 + 5\/2*k**2. Does 14 divide d(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-6))\/(45*(-23)\/6831)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 151 + -83. Let f = -321.9 + 390. Let h = f - i. Which is smaller: -25 or h?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84634299?\nAnswer: 3, 9403811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i + 37. Let z be n(7). Let a(m) = -30*m**z - 7 - 8 + 29*m**2 + 14*m. Give a(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 428773695.\nAnswer: -428773695.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*(i*(i\/(i\/(i\/(i\/i**14))))\/i)\/i*i*i*i**(1\/13))**(2\/53))**(-41) assuming i is positive.\nAnswer: i**(-18204\/689)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 67845.32 centuries?\nAnswer: 6784532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1819.32166 rounded to the nearest ten?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4202227337\/584 + 7195598. Let u = q - 27\/73. What is the common denominator of u and 25\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/3 + 9121*m\/3 + 4314718.\nAnswer: (m + 1758)*(m + 7363)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 8*p**2 + 164059*p + 492182. Give d(-3).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**4\/10 - 194*b**3\/5 + 8847*b**2\/2 - 612306*b\/5 + 590382\/5 = 0. Calculate b.\nAnswer: 1, 39, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-4)*(-176)\/462. Let f = -836 - -839. What is the nearest to -1\/4 in 3.6, f, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*s - 116*s + 1366 = 2*j, 4*s = j + 2722. Is s at most 680?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(12) + sqrt(84)\/(3*sqrt(7)))\/(sqrt(486) + (1*sqrt(486) - sqrt(486)) + sqrt(486)))**2.\nAnswer: -8*sqrt(2)\/27 + 2924\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10133130131 (base 4) in base 5?\nAnswer: 300133443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 0.85. Let f = p - -4.15. Let s be (-2)\/3*(-12)\/16. Put f, -0.3, s in decreasing order.\nAnswer: f, s, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13b0 + 203?\nAnswer: -11a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 8*k - 14. Let n be h(-10). Suppose -c = -n*c. Let y be -1*(-1 - c)*-2. Is y bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2424032 by 32.\nAnswer: 75751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -58*(-8)\/(6 - 2). Let j = r + -108. Solve 5*n - j = -0*g - 3*g, 5*n - 24 = g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-2\/7)*j)**(-50)*j**(-4\/7)*j**(1\/3)\/j assuming j is positive.\nAnswer: j**(-2876\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 4*q = -2*v + 23, -2*q + 13 = -3*v. Let t be (v\/1 + 7)\/(-2). Suppose 10*g = 8*g - 2. Sort -3, g, t.\nAnswer: -3, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-7))\/((-1736)\/(-3906)*1107\/42)\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20202101100 + 11?\nAnswer: 20202101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -809\/2 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 > 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246 = -3*b + 4*b - 3*x + 242, -4*x = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 108\/36 - (1 + (-126)\/(-50)). Which is greater: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - (-65 + 223 + -53).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-9)*(4 - 1). Let i = 1 - 1.5. Which is the smallest value? (a) -2 (b) p (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*h - h - h)*(0*h - 2*h + h).\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccgeqqccqehqch. What is prob of sequence eccg?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/11 - -7\/44. Let w(q) = -3*q**2 - 195*q - 587. Let v be w(-62). Which is the nearest to t? (a) -0.3 (b) v (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yu when two letters picked without replacement from {y: 3, u: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000048597 rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 106 times 1996540\nAnswer: 211633240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1784, 3551, 5308, 7049, 8768, 10459, 12116?\n\"Answer: -i**3 + i**2 + 1771*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -9207?\nAnswer: -9207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j + 15. Let p be q(10). Let o = p + 19. Suppose -o*x = -16*x - 8. Put 0, -3, x in descending order.\nAnswer: 0, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 525 and 1095?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldblbdlltt. What is prob of sequence tl?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/4 + -2 + -1. Suppose 12*h = -8 + 404. Solve 5*c + 4*y - h = 0, t*c = 2*y - 4*y + 29 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01 + 7.99. Let c = 1.8 - 0.8. Let a = c + -5. What is the second biggest value in a, x, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 3 = 5*k, -3*l - 56*k = -61*k - 3 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-16)\/32)\/(11\/(-407)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 + -8)\/((-1)\/(-1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 8 = -2. Let l be (-476)\/1848 - ((-14)\/12 + 1). Sort j, -2, l in descending order.\nAnswer: j, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -4*x - 23, 3*f - 90*x - 43 = -86*x for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((42\/(-440))\/3)\/(150311\/(-171784))\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 16*q = -69. What is the closest to q in 0.2, -4, 0, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101001 - 0?\nAnswer: -1101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n. Let f = -878 + 881. Let j(d) be the second derivative of 0 + 0*d**2 + 9*d - 1\/6*d**f. What is j(c(h))?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 213403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 14, t: 1}. Give prob of sequence tqq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -18b33 (base 12) in base 2?\nAnswer: -1000110101010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 + 46902*o - 46902*o.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 694223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 2*v - 1. Let k be c(-2). Let r be (k - -4) + (4 - 5). Solve 0 = r*j - 0*j - 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1383 * -144503\nAnswer: -199847649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tyuuytztztztz. Give prob of sequence ty.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 2. Put g, -3, 2 in ascending order.\nAnswer: -3, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1742 + 1735. Which is the biggest value? (a) -3\/8 (b) r (c) 6 (d) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -503223 divided by -3\nAnswer: 167741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69217385?\nAnswer: 5, 13843477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -147 - -320. Suppose 4*x = 627 + h. Is 8 a factor of ((-12)\/(-10)*2)\/(30\/x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 7:06 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 5*h + 105, 12*a - 8*a - 1508 + 1408 = 5*h for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -342 + 2?\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -19855*i. Let b(c) = 2*c**2. Calculate n(b(l)).\nAnswer: -39710*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, s: 4}. What is prob of sequence nnss?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 3 + 0)*(u - u - 2*u) + 0 + 0 + u + 0 - 2*u + 0 - 2*u + 3 - 3)*(1 + 2 + 0)*(0*u + 0*u + 3*u).\nAnswer: -45*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*q - 14. Let p = 4\/67 + 185\/268. Which is the biggest value? (a) -2\/15 (b) q (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 12*p + 1. Let z be 0 + 37 - 6\/2. Let b = z - 33. Calculate n(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -944.735 to the nearest integer.\nAnswer: -945","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 0*v**3 + 0*v**4 + 1 + 0*v**2 + 1\/10*v**6 - 3\/25*v**5 + 0*v. Find g such that u(g) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-14) + (-5)\/(-7). Let x = 1852\/13665 - 2\/911. Which is the smallest value? (a) u (b) -5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.070653 times -2\nAnswer: -0.141306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, w: 2, s: 5, e: 3}. What is prob of sequence wss?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of v**3\/6 + 82*v + 1. Let x(p) = -3367*p**2. Give d(x(t)).\nAnswer: -3367*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 - 2*o. Let t be b(2). Is t greater than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 2*x - 3\/20*x**5 - 2\/3*x**3 + 0 + 0*x**2 - 1\/3*x**4. Let z(p) = 4*p**3 + 5*p**2 + 5*p. Calculate 5*r(d) + 4*z(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3058 and -0.2.\nAnswer: 0.06116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000096182 to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 290 + 5968. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.23422256 rounded to three decimal places?\nAnswer: -36.234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 51.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-36 - -13 - -11) + 15\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 128388531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1150 - 1148. Solve g + z + 1 = 2*y, -4*y - 3*g + 31 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -19. Suppose -s + 4*j + 0*j = -35, -3*s + 69 = -z*j. Calculate the remainder when s is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -o**6\/90 - 7*o**5\/60 - 5*o**3 - 6. Let f(r) be the third derivative of l(r). What is the second derivative of f(p) wrt p?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6055790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgs when three letters picked without replacement from kgdgsddddkssdddqgd.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 - 539*c + 46.\nAnswer: -539*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 p when three letters picked without replacement from {c: 3, p: 4, j: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -211001436*p**3 - 228331033*p**2 wrt p.\nAnswer: -1266008616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2517*c + 63684 = -2521*c. What is c rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 49*y**2 - 2 - 1 + 6 + 9 in the form x + r*y + k*y**2 and give k.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -128.83429 rounded to two decimal places?\nAnswer: -128.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 866274 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 4*h**3 + h**3 - 3*h**3 - h**3 + (0*h + 0*h + 5*h**2)*(-6*h + h + 3*h) - 2*h**3 + 0*h**3 + 4*h**3 + (-h + h**2 + h)*(-6*h + h + 4*h).\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 - u**2 - u**2. Let x be (-7)\/(14\/6) + 0. Let n be x\/(-15) + 1\/(5\/(-6)). Let f(t) = -t**2. Calculate n*s(b) + 8*f(b).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by (39 + 1)\/2 - (-146)\/73?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/2055?\nAnswer: -2\/2055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23544?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/9, -0.3, -822\/19?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 53*m - 9. What is the hundreds digit of r(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -449*g + 3*g**3 + 209*g + 240*g.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1950 and 5022500.\nAnswer: 195877500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 339348*l**2. Let v(f) = 2*f. Determine v(h(r)).\nAnswer: 678696*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110110010000 - -11011000000001?\nAnswer: 111001110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19470 = -30*k + 3810. Let z = -158 - k. Is z a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 4 + 6. What is the second derivative of 68*f**u + 5*f - 3 + 3 - 69*f**2 wrt f?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 159\/4 - 33\/44?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -217074*f**4 - 2*f - 2064718?\nAnswer: -868296*f**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444*i - 3*c = -442*i - 30, 2*i - 2*c - 30 = 0 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.727 + 0.517. Sort -3, -0.3, p, 10 in increasing order.\nAnswer: -3, -0.3, p, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43801959569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -6. Let q be 100\/5*3\/d. Suppose h = 5*y - 27 - 3, q = -5*h - 2*y. Let s(b) = b**2 + 6*b - 3. Determine s(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 994, 999, 1006, 1015?\nAnswer: 1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 2*r - 1. Let m be n(2). Let y be 5 + 0*(2 - m). Suppose y*c = c + 140. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3351606 to the nearest integer?\nAnswer: 1831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1060460 by -36.\nAnswer: 265115\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 3*q + 6, -2*q = -q + 2. Let k(g) = g**3 - 2*g + 2. Let w be k(-2). Is 263 - ((m - 1) + w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 4:35 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/15 - ((-844)\/10 - -1). Let x = j + -45. Let l = -16 + x. Calculate the remainder when 109 is divided by l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 - 3*v**2 + 7*v**2)*(0 + 0 + v) + 22*v**3 - 342*v + 342*v.\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, h: 2, d: 1, f: 2, g: 1, p: 2}. Give prob of picking 1 f and 3 j.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o + 4. Let b be s(3). Let i(d) = -13*d**3 - d**2 - d. Let x be i(-1). Suppose b*k - x*k + 2*k**2 - 2*k**4 = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53606100 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 12:43 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**4 - 102*j**3 - 39*j**2 - 10*j - 1348215 wrt j.\nAnswer: -4*j**3 - 306*j**2 - 78*j - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*s - 206 + 206.\nAnswer: 148*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 5*a, 0 = -2*o + 4*a - 49 + 67. Suppose -r = -0*r - 25. Put -4, o, r, 3 in descending order.\nAnswer: r, o, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31233 is divided by 137?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/400 and -13\/440?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*l**2 + 1898 + 1949 - 3847.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*u - 84 = -23*u - 18*u. Calculate the remainder when 300 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -50 + 221*s - 702*s - 630*s + 50 in the form z + g*s and give g.\nAnswer: -1111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 + -36. Suppose q + n = -9, -d*n + n = 8. Sort 1, 3, q in decreasing order.\nAnswer: 3, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oyon when four letters picked without replacement from {o: 2, n: 2, q: 4, i: 2, y: 1, g: 1}?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**3 - 3*f**2\/2 + 402. Factor p(x).\nAnswer: 3*x*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*o + 198*o + 1584 = 0 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2504, -10027, -22572, -40139, -62728, -90339?\n\"Answer: -2511*s**2 + 10*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-2)*23\/((-69)\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s + 1749 = -1210. Let a = s + 278. Let f(i) = -i + 4. Determine f(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**5 - 4*l + 4*l + 0*l**4 + 0*l**4 - l**5 + (0 - 2*l**2 + 0)*(-l**3 + 1 - 1) + (-2*l**5 + l**5 + 0*l**5)*(-2 - 5 + 6).\nAnswer: 6*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 50?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 353 + 1422. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5452 = -990*c - 39112 for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 5*s + 8, 64*s = 68*s + 4*i + 16 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 12:50 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12 - -14)\/(-1180))\/((-4)\/(-10)). Put a, -0.3, -2, -0.5 in increasing order.\nAnswer: -2, -0.5, -0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1669, 1660, 1651, 1648, 1657?\nAnswer: 1684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/9, 34, 0.9, 4.3?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkkkohkaaaf. What is prob of picking 1 f and 1 k?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**8\/r**6*(r**(-1))**(2\/19) assuming r is positive.\nAnswer: r**(36\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2600614.\nAnswer: 2, 1300307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-289*x - 156*x + 48*x)*(-4*x**4 - x**4 + 2*x**4).\nAnswer: 1191*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 4*d - 13 = 0, 3*g + 16*d - 11*d = 1499 - 1543 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -516 = -8*b - 36. Calculate the smallest common multiple of b and 4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, g: 1, u: 1, o: 6}. Give prob of sequence gaao.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 571310*r + 571312.\nAnswer: -2*(r - 285656)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41.1 + 231.1. Let o = m - 187. Which is the smallest value? (a) o (b) 3\/5 (c) -0.28 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 955817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 51 + 21. What is the smallest common multiple of p and 2350\/141*(-150)\/(-26) + 20\/(-130)?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*v + 33*v = 272. Let f(i) = i**2 - 6*i - 118. Determine f(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) 16 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 27?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j + j + 6 + 0*j. Let i be (-3 + -1 - -2) + 7. Let c be (40\/i)\/(0 - 2). Give b(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3817767?\nAnswer: 3, 1272589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -3*o**5\/20 - 11*o**4\/24 - o**3\/3 + 2*o**2. Let h be t(-8). What is h rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -851827, -1703675, -2555523, -3407371?\nAnswer: -4259219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**4 + 8*n**5 + 4*n**4 + (n**2 + 4*n**2 - 3*n**2)*(-2*n**2 + 2*n**2 + n**3) + n**5 - 3*n**5 + n**5.\nAnswer: 9*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -4 + 1\/((-1)\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*l + 11*l - 40. Solve 0 = -0*m + l*m + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 39 - 39 + 2*x**2. Let f(z) = 29*z**2. Determine f(c(h)).\nAnswer: 116*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 44?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*n = 8, -2 = 5*b + 3*n + 10. Suppose -3*i + 7*i - 20 = b. Solve m + s = -3, 0*s + i*s - 15 = 5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5621 (base 8) to base 2.\nAnswer: 101110010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - 24*o - 133 = 4*n, 2*o = 2*n - 13 - 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 89\/15 - 6 - 2\/(-5)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 7*r**2 - 9*r - 7. Let x be b(-8). Let y(a) = 15*a + x - 45*a - 1. Let k(m) = 2*m**2 + 185 - 373 + 188. Calculate y(k(o)).\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.45 + -2.05. Put w, 0.2, 23\/5 in increasing order.\nAnswer: 0.2, w, 23\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 825697\/12 or 68808?\nAnswer: 68808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1364953 a multiple of 367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 45*z + 150.\nAnswer: 3*(z - 10)*(z - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - j**2 - 3*j - 3. Suppose 2*b - 7*b - 10 = 0. Calculate r(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2, 1.8, -0.4, -2\/9, 271 in decreasing order.\nAnswer: 271, 2, 1.8, 0.2, -2\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 108 + 28. Let u be (0 + -4)*12\/j. Sort -1, 4, u in ascending order.\nAnswer: -1, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 5. What is the common denominator of 107\/10 and h + ((-71)\/(-6))\/(-1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 5675686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/3 - (-1 - (-20)\/(-12)). Suppose 5*i + 31 = h + 5, 0 = 4*h + o*i + 6. Suppose 4*c - 5 = -n - 22, 3 = -3*n. Which is smaller: h or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22099064.\nAnswer: 2, 13, 37, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q**3 + 212*q**2 - 12*q - 629. Calculate w(-53).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 8:32 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (24\/42)\/((-2)\/(-49)). Solve 3*s = 2 - x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1666, -6572, -14734, -26152, -40826?\nAnswer: -58756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -42*f**3 + 1595*f**2 + 38*f + 36. What is g(38)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 11*z + 21. Let u(y) = -2*y**2 + 22*y - 43. Let o(b) = -5*c(b) - 3*u(b). Let x be o(16). What is the highest common factor of 26 and x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q. Let f(m) = -11*m**2 + 13*m + 5. Let l(o) = -2*b(o) - f(o). What is the hundreds digit of l(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -32, -377, -1334, -3209, -6308?\n\"Answer: -51*k**3 + 12*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2618053827 to the nearest integer?\nAnswer: 51167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, h: 1, m: 2, i: 1, b: 1, u: 5}. What is prob of picking 1 h and 1 m?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -11. Suppose 2*c - c - 2 = k. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 12. Let t(w) = -w**2 + 8*w + 8. What is the units digit of t(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l + 5. Give v(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.81455 to one dp.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 8, 35422, -4, -1\/6, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/216 and 107\/16092.\nAnswer: 32184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2989 + 7662. List the prime factors of u.\nAnswer: 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 11 + 19 - x**2.\nAnswer: -x**2 + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12 + -15)*(-7)\/3. Let m = g + -2. What is the third derivative of 3*p**m - 12*p**2 + p**2 + 5*p**2 wrt p?\nAnswer: 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422 is divided by 154.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 5. Suppose 1745*l = 1744*l + 2. Let k(s) be the first derivative of -2*s - 1. Calculate l*u(o) + 5*k(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 5*d**2 - 16*d - 100. Determine p(7).\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 12 = -3*d, p + 7 = -4*d - 12. Let a be 4\/5*(21 - p). Suppose 0 = r - 3*r + a. Is r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 2*i + 0*i**2 + 0 + 1\/6*i**3. Let m(a) = -2*a. What is m(h(o))?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55 + 48.4. Let k = 0.6 + g. Which is the second smallest value? (a) k (b) 2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -3, -9, -156, -5 in decreasing order.\nAnswer: 1, -2, -3, -5, -9, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h - 2. Let c be (9 - 250\/30)*(1 + -7). Let g(v) = -5 - 2 + 9*v + 2. What is c*g(m) + 10*x(m)?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1031103 (base 4) to base 2.\nAnswer: -1001101010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -214202\/17 - -12600. Put 1\/2, 3\/5, -4, d, 1\/7 in ascending order.\nAnswer: -4, d, 1\/7, 1\/2, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2714 + -2693. Solve 0 = -4*o + j - i, -2*j = 2*o - 9 + 27 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.026 and 1753.827.\nAnswer: 1753.853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15\/(-25) - 665\/(-25) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = -26*z - 3*z. What are the prime factors of 2\/(14265\/2376 + z)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4247587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, q: 1, n: 3}. What is prob of sequence nqne?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1271 + -1266. Let z = -0.08 - 3.92. What is the closest to 2 in z, f, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -u**5\/40 + u**4\/24 - 2*u**3\/3 - 4*u**2. Let q(p) be the first derivative of h(p). Suppose -2*r = -0*r + 4. What is q(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -4*r**4\/7 - 27687*r**3\/7 - 47907162*r**2\/7 + 11978521*r\/7 = 0.\nAnswer: -3461, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -s**6\/5 - s**3 - 3*s. Find the second derivative of t(n) wrt n.\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -25, -2\/5, -1\/6, -0.2, 0?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 50 - 42 = 0. Solve -4*n + 28 = -5*m, -6*m + 4*n = -c*m + 24 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-10) - (1 + -2). Put -2, i, -1, 3 in descending order.\nAnswer: 3, i, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005569536 rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/17 (b) 4 (c) -1 (d) 3 (e) 301\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s - 6. Let p(g) = 27*g - 84*g - 9 + 32*g + 27*g. Give 8*b(m) - 5*p(m).\nAnswer: -2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 740 + -c8?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -183 + 84. Let k = 98 + o. What are the prime factors of (55 + 1 - k)*(-40)\/(-15)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195\/78*(-1)\/(-20).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 + 24 + -2?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -75*b**4 - 1287*b**3\/4 - 1251*b**2\/4 - 273*b\/4 - 9\/4 = 0.\nAnswer: -3, -1, -1\/4, -1\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 2*x - 6*x**3 + 54 - 59*x**2 - 8.\nAnswer: -6*x**3 - 59*x**2 + 2*x + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1363000 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1842478*l**4 - 56000798?\nAnswer: 7369912*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/11))**(-3\/5)*((q\/((q\/(q*q**(3\/2)*q))\/q))\/q)**(-2\/13) assuming q is positive.\nAnswer: q**(-463\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34989 and 1668245?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42 - 10) + 54 + (2 - -4 - 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -17, -36, -1\/3, -1\/56?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 6:45 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 52193237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -28\/5, 0.5, 0.05, 1, -26863 in descending order.\nAnswer: 1, 0.5, 0.05, -28\/5, -26863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -236\/25 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 10 = -8*y. Let h be ((-108)\/(-15))\/(y\/(-5)). Suppose -25 - h = -q. List the prime factors of q.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -8*j**7\/7 + j**6\/6 + 91*j**3\/3 + 87. What is the third derivative of s(r) wrt r?\nAnswer: -960*r**3 + 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 152*j**2*k**2*v - j*k + j*v + 14*k**2*v wrt j?\nAnswer: 304*k**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.061 + -0.209. Let r = y + -1.73. What is the second smallest value in 3, r, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 619459053 to the power of 1\/3, to the nearest integer?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**3\/10 + 4*k**2\/5 + k\/10 - 4\/5 = 0.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjfjjfjjj. 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: Factor 3*i**4 + 7464*i**3 + 6185160*i**2 + 1702960800*i - 3430722000.\nAnswer: 3*(i - 2)*(i + 830)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 38*w**2 - 5*w - 2. Let v(d) = -280*d**2 + 35*d + 15. Determine -15*n(m) - 2*v(m).\nAnswer: -10*m**2 + 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (293 - 192 + a - 189)*(3*a - a + 3*a).\nAnswer: 5*a**2 - 440*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 38, 0.3, -23\/4, 22, 0.02, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 27, 59, 125, 237?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/22712 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3524 divide 164516488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2754802725439 from -14.\nAnswer: -2754802725453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -26, -23, -34, -112.\nAnswer: -112, -34, -26, -23, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19255025 by 770201.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41080230 to the nearest integer?\nAnswer: 6409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r - 520*r**2 + 522*r**2 + 9*r**3 + 4*r. Let x(w) = 5*w**3 + w**2 + 2*w. Determine -2*j(v) + 5*x(v).\nAnswer: 7*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 517330\/7 - 74582. Let k = 678 + d. Factor 0 - 2\/7*l**4 - k*l**2 + 0*l + 4\/7*l**3.\nAnswer: -2*l**2*(l - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -11*s**3 - s**2 + 1. Suppose -4*a = -0 - 20. Suppose -2*p - j = -0*j + 3, 20 = -a*p - 5*j. What is b(p)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.143784025 - 16\nAnswer: -16.143784025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 2*o - 1. Let v(w) = -3*w - 18. Let z be v(-8). Let r = z + -8. Let q be c(r). Let n(h) = -2*h**2 - h - 1. Determine n(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(720) + 1)*-2 + -5 + 1*sqrt(720))**2 - 6*(sqrt(405) + -3*-1*sqrt(405))**2)*-3.\nAnswer: -504*sqrt(5) + 114333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 16 = -2*b, -3 - 21 = 2*h + 3*b. Let t(f) = 3*f**2 - 3 + 2 - 4*f**2 - 5 - 8*f. Let p be t(h). Solve 3*q + p = 0, 0*g - 3*q = -5*g - 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1876 and 134.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.13 - -0.03. Let w = -3.1 - i. Let b = w + 2.6. Sort -1, 4\/7, b in decreasing order.\nAnswer: 4\/7, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -11*c**2\/2 + 62*c - 43. Is y(-21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10561603, 10561602, 10561601, 10561600?\nAnswer: 10561599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/5 - 134*l\/5 - 272\/5.\nAnswer: (l - 136)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*d**5 - 175*d**4 + 150*d**3 - 4*d**2 - 8*d = 0 for d.\nAnswer: -2, -1\/5, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 17 - 67 + 22 + 24. Suppose 0 = 5*k - 5*x + 3*x + 29, 4*k + 16 = 4*x. Let d be u(k). Solve -8*j = -d*j - 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 7*d + 154. What is the highest common divisor of d and 550?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + 0*n**2 + 4*n**4)*(-2*n - n + 2*n) - 2*n**5 + n**5 + 4*n**5 + (-3*n + 6*n - n)*(3*n**4 - 3*n**4 + 2*n**4).\nAnswer: 3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjcj when four letters picked without replacement from {s: 2, j: 1, c: 4, k: 1, o: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 3*o - 1182. Determine c(37).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8400 + -42003\/5. Suppose 4*g + 4*j - 4 = 0, 0 = -5*g - 2*j - 0 + 20. Let d be 24\/9 - (-2)\/(-3). Which is the third biggest value? (a) d (b) g (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 657 and 23636763.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4621 a multiple of 230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78 + -98. Let k = 254 + m. Is 39 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -215 + 709. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r + 40. Let j be s(-7). Let q(y) = -4*y - 16. Let z = 59 + -64. Let k be q(z). Sort -4, k, j, 10 in increasing order.\nAnswer: -4, k, j, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**4\/4 - 11*l**3\/3 - 6*l**2 - 21*l + 17. Let q be k(-10). Find the common denominator of 17\/15 and 4\/q - (332\/40 + -2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 1344.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 0.141?\nAnswer: 0.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24, 13, -12, -57, -128, -231?\n\"Answer: -m**3 - m**2 - m + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 360 and 1063584?\nAnswer: 5317920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(8\/3)*w*w**(4\/11)*w*w*w)**(-13)*w**5\/w**(4\/3)*(w*w*((w\/w**2)\/w)\/w*w)**(-37) assuming w is positive.\nAnswer: w**(-965\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**2 - 15*i - 16. Let w be r(-3). What is the third derivative of 134*v**3 - 18*v**2 - v + 37*v**w - 21*v**2 wrt v?\nAnswer: 804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.1 - 1. Let s = 204 - 205. Let v = -126 - -126. Which is the third smallest value? (a) s (b) v (c) -4 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36\/21 + (-2)\/(-7). Let k = -21 + 34. Let y = k + -3. Solve y = d*p - 0*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -6 (b) 2 (c) 14572 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -15 - 9 - -20?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67117 and 52931?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-352)\/36 + 4\/(-18). Let g = b + 12. Is g < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by 4471?\nAnswer: 54\/4471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 19 = r + p, -5*p + 14 = 2*r. Let q = r - -1. Let m(x) = -x**2 + 951*x + 34509. Let b be m(-35). Put q, b, 1 in ascending order.\nAnswer: q, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, q: 2, s: 1, o: 6}. Give prob of sequence sqk.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -13278*t - 1859. Is r(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + i = -4*i + 67, 4*w + 2*i = 66. Suppose -16*z + w*z - 114 = 0. Find the common denominator of z\/30 - 6\/2 and -47\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -17*l. Let m(g) = -g**3 + 3*g**2 - 3. Let i be m(3). Let f be r(i). Let j = 84 - f. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-3) + -6)*-6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 + 6 + 9 + 7 + b to n + w*b and give n.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 1401*m**2 - 652*m + 2. What is j(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y. Let q(h) be the second derivative of h**5\/30 - 3*h**2\/2 - 2*h. Let d(a) be the first derivative of q(a). Calculate d(o(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t + 8. Let y be d(6). Suppose -3*h + y = -4. List the prime factors of 5\/(-10) - (-5)\/h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 6*j + 38. Let o(r) = 7*r + 37. What is -6*d(i) + 5*o(i)?\nAnswer: -i - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 256.7119kg to tonnes.\nAnswer: 0.2567119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1060, -2140, -3226, -4318?\nAnswer: -5416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(768))\/(sqrt(48)\/sqrt(4)*-6))\/(1*sqrt(18) - (sqrt(128) + -1*sqrt(128))) + -2.\nAnswer: -2 - 4*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12862680 = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/14, -4, -25, -0.0276, 2 in descending order.\nAnswer: 2, 1\/14, -0.0276, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -13*o - 53. Let n be c(-4). What is the units digit of (n - -1) + (-6)\/3 + 264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2982, -2736, -2334, -1776, -1062?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2f2bf - -1e5?\nAnswer: 2f4a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25889 + 25889.2. Which is the nearest to -3? (a) m (b) 7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = j + 19. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 80450731 to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*-3*sqrt(108)*5 + 5 + 4.\nAnswer: 13 + 450*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*r + 2*r - 369*r.\nAnswer: -265*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -14*o**2 - 4*o**2 - 43 + 25*o**2 - 8*o**2. Let l(w) = -174*w**2. Give u(l(j)).\nAnswer: -30276*j**4 - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*q - 10, 0 = 7*i - 10*i + 3*q + 15. Solve i = -h - 2 + 7 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10523355340\/4059 - -2592598. Find the common denominator of h and 7\/4.\nAnswer: 16236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323735 is divided by 123.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -493*g**2 + 12*g**3 + 450*g**2 + 0*g**3 wrt g.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvwvvvwwwwvwwwwwwvw. Give prob of sequence vwv.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10541769 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**3 - 57*p**2 - 161*p - 333. Is b(-77) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4465 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 15 = 3*y, -152*y + 144 = -42*q - 149*y for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 6*z**2 - 2*z + 4. Suppose -10*p = -22*p + 48. Is 26 a factor of j(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-98) - (-86)\/(-28)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164, 449, 786, 1181, 1640, 2169?\nAnswer: 2774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -621430*y + 1266133*y - 644698*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -656, -2581, -5786, -10271?\n\"Answer: -640*b**2 - 5*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqq. What is prob of picking 2 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from otfttgtgttbogob. What is prob of picking 2 g and 2 b?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 3*u**2 + 2*u - 7. Let r be p(3). List the prime factors of -8 - -7 - (r - 25).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 7 - 27*a + 0 + (0*a + 2*a - 4*a)*(4 - 3 + 1).\nAnswer: -31*a - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 690490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(175) + -5.\nAnswer: -3 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 3*i**2 + i - i + 2*i**2 - 3*i**2 + 2*i**2 - i**2 + (2*i**2 - 4*i**2 + 3*i**2)*(2 - 5 + 2) - 3*i**2 + 2*i**2 - i**2.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3818, -30484, -102842, -243734, -476002?\n\"Answer: -3807*y**3 - 4*y**2 - 5*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-5*(sqrt(304)*-2)**2 + -5.\nAnswer: 30395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20419187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2)*(-4 - -40). Let q be s\/1*(-18)\/6. Let r = 79 + q. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7068800*f**5 + 106039520*f**4 - 84938402*f**3 - 197836130*f**2 + 210536*f - 56 = 0. What is f?\nAnswer: -1, 1\/1880, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 1441259.75316601.\nAnswer: -1441260.05316601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6*d = -3*d + 897, z + 3*d = 471. Calculate the highest common divisor of 608 and z.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9.775719 micrograms?\nAnswer: 9775.719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.24 * 1.72\nAnswer: 0.4128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -101 + 172. Let l = z + -69. Suppose 33 = l*i - 3. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 27*w**2 - 3*w + 12. Let r(x) = -41*x**2 + 4*x - 18. Let c(h) = -7*n(h) - 5*r(h). What is the tens digit of c(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -h**5\/60 - 5*h**4\/12 - 8*h**3\/3 + 7*h**2. Let u be q(-7). Suppose 3*v - 1 = u. Solve -2*z + x = z + v, 6 = -z - x for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 6*v**2 - 35*v + 70. Let d be b(9). Let g(r) = -r**3 - 3*r**2 + r - 2. Calculate g(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -w - 0*w. Suppose -11*h + 13*h - 8 = 0. Suppose -3*v = h*j - 237, -5*j = -w*v - 122 - 154. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 290785535 + 6.\nAnswer: 290785541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**2 + 28*i - 28. Let t be d(1). Solve -19 = t*w + z, -10 = 5*w - 4*w + 2*z for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) 0.4 (c) 23 (d) -3 (e) 3 (f) 1556\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 41 = 3*i, -5*i - 235 = 6*s - 300 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2979 = 173*u - 2903. What is the least common multiple of u and 1378?\nAnswer: 23426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20 - 24)*(-1)\/2 + -4. What is the remainder when 71 is divided by -36*1*o\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*15\/4590)\/((-2)\/6)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rssssrrssrrs.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5*t. Let x(u) be the third derivative of u**5\/60 - 7*u**2. What is x(i(j))?\nAnswer: 25*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -22 - -4 - -5 - (-1 + 16).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*f**3 + 3 - 11*f**3 - 2*f - 8*f**3 + (0 + 0 + f)*(-f - f**2 + f).\nAnswer: f**3 - 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*s + 2*s**2 - 62*s + 134*s.\nAnswer: 2*s**2 + 12*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.26, -12\/11, 6.55 in ascending order.\nAnswer: -12\/11, -0.26, 6.55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 16*r + 7*r**2 + 6 - 33*r - r**3 + 10*r**2 + 16. Let p be q(16). Let g = 4 - p. What is the nearest to 0.4 in -4\/7, g, -1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 3*w + 30. Let d = 4 - 3. Suppose 0 = 4*j + 27 + d. Let l be z(j). Solve -u = l*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v. Suppose 2*s + 10 = 0, -j - 2*s - 3 = -s. Let f(p) = p + 13. Determine j*x(k) - f(k).\nAnswer: k - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/(-100)*25\/(-170).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 338*f*i**3*z - f*i**3 + i**3 - 5*i**2*z + 24*z wrt f?\nAnswer: 338*i**3*z - i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 26, 142, 334, 602, 946, 1366?\n\"Answer: 38*v**2 + 2*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 13 in decreasing order.\nAnswer: 13, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.2, -5, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -295*f + 129*f - 77*f.\nAnswer: -243*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2088047.\nAnswer: 13, 160619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0187 and 16.0391.\nAnswer: 16.0578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*l - 8*l - 3*l)*(12543*l**2 - 12543*l**2 + 5163*l**3) in the form x*l + i*l**4 + z*l**2 + j*l**3 + f and give i.\nAnswer: -30978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 7*b - 25. Solve 5*u + b = -7 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 - 1. Let p = 159 + -140. Suppose -3*y - 7 = -p. Which is the closest to 2? (a) -0.2 (b) l (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -173 - -169. Let l be -1 + 3*(-2)\/(-4). Sort f, l, 3, 2\/13 in decreasing order.\nAnswer: 3, l, 2\/13, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(6\/(-9)*18\/12). Factor -2\/9*z**2 + 2\/9*z + v.\nAnswer: -2*z*(z - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 203722161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + 4 - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -41, -47, -119, -281, -557, -971, -1547, -2309?\n\"Answer: -4*w**3 - 9*w**2 + 49*w - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -16*k + 58. Let y be a(3). Let c(i) be the first derivative of -i**3\/3 + 4*i**2 - 5*i + 2. Let n be c(5). Is n at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t**2 - 16*t + 2. Give c(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*(-14)\/18*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23522941723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28647229?\nAnswer: 13, 2203633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 4 + 34 + -37.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11194744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -271*d**2 + 273*d**2 + 1 - d**3 - 8 - 4*d**3 - 3*d**3 + 5*d**3 - d**2 + 2*d**3 + d**2 + (3*d - d**3 - 3*d)*(-1 - 1 + 1) - d**2 - 2*d**3 + d**2.\nAnswer: -2*d**3 + 2*d**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from gggggigggggigigggg?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -210743303*a - 34958314 wrt a?\nAnswer: -210743303","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**2\/2 - 4634645*o - 21479934276025\/2 = 0.\nAnswer: -4634645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 129615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + -21 + -1 + 57 + 8?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5359?\nAnswer: 23, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4123)\/2945)\/(-3*2\/10)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**2 + 760*g**3 + 3*g**2 - 9*g**2 + 777*g**3 - 1539*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n. Let h(r) = -2*r**2 + 6*r. Let d(l) = -15*l**2 + 3*l + 13*l**2 + 2*l. Let b(z) = -6*d(z) + 5*h(z). Give m(b(a)).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**3 + 15*j**2 - 18*j - 6. Calculate c(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8c66 (base 16) to base 13\nAnswer: 1348a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 7*k**2 + k + 5. Let l(r) = 6*r**2 + r + 4. Let w(o) = -5*j(o) + 6*l(o). Let t be w(2). Let v = t - 9. Let x(m) = m**3 + 3*m**2 + 4. Give x(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281337 is divided by 540?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 216717 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whwhwhhhhhhhwhhhhhwh. Give prob of sequence hh.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -1\/3*k**6 + 2\/3*k**4 + 0*k**2 + 40*k - 8\/3*k**3 + 3\/5*k**5 + 0 + 1\/21*k**7. Solve b(o) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -33*w - 46. What is o(-3)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*(2\/4)\/(6\/(-4)). Suppose -2574 = -4*r - 2*h, 2*h + 1269 = n*r - 3*h. Suppose -3*b = 3*w - r, 0*b + 440 = 2*b - w. What are the prime factors of b?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 11:37 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89 + 713\/8. Let g = -3 + 2.8. Let d = g + 0. What is the closest to 1 in 5, d, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 369 and 335628?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 372931107 + 20.1386.\nAnswer: 372931127.1386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45113416.8 - 3.\nAnswer: 45113413.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.9 + -0.9. Let q = 10.8 - x. Let p = q + 1.5. Which is the second smallest value? (a) -3 (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -127\/42 + 20\/7. Put 1, w, 1\/2 in decreasing order.\nAnswer: 1, 1\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 12. Let i = 1840.5 - 1841. What is the second smallest value in i, z, -3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 301 - 297. What is the second derivative of -u**3 + u**4 + 8*u**4 - 2*u**3 - u**w - 20*u - 8*u wrt u?\nAnswer: 96*u**2 - 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 256 by -8.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -655 - -943. Is 16 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3125 - 3119. Let z = -15 + 57\/4. What is the nearest to -1 in -2, z, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 7*z + 11. Suppose x + 7*o = z*o + 67, 2*x - 134 = 5*o. Suppose x = 2*w - 29. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 + 50*g - 34. Let r = 155 - 65. What is the least common multiple of r and m(-26)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.08092 - -3.\nAnswer: 1.91908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -70305, -140621, -210945, -281277, -351617, -421965?\n\"Answer: -4*o**2 - 70304*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fo when two letters picked without replacement from ttzfzjztljtto.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 663?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -187093\/21084 + 1800\/251. Calculate the common denominator of z and 14\/20*25\/6.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -1)*0 - -19. Let k be ((-12)\/18)\/(-1)*57. Calculate the greatest common factor of k and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -4, -2, 3 in decreasing order.\nAnswer: 27, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2998819, 2998818, 2998817, 2998816, 2998815, 2998814?\nAnswer: 2998813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 0*l - 4*m = -7, l + 3*m - 4 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 849*k**3 + 108*k + 112*k - 329*k + 109*k - 845*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*6\/(-4)*192\/(-567072). Which is greater: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(1\/11)*j)\/j**(-2\/7))\/(j\/((j\/(j*j\/(j**(2\/5)*j)*j))\/j))**4*((j*j**(-1\/4)\/j)\/j**7)\/(j**(-6)*j*j**(-2\/5)) assuming j is positive.\nAnswer: j**(-3097\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 59*f + 18. Let l be i(3). Let g be (-10)\/45 + -3 + l\/27. Solve 8 = -g*p - 0*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*b**3*m**2 + 2*b**3 - 44*b**2*m - 303*b*m**3 - b*m + m wrt m?\nAnswer: 12*b**3 - 1818*b*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2380, -2364, -2314, -2212, -2040?\nAnswer: -1780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*y + 14 + 9 = 0, -5*l + 52 = -2*y. What is the least common multiple of l and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 12) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -3) + (-5 - 5 - -10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**3 + 27279*x**2 - 326976*x + 544860 = 0. Calculate x.\nAnswer: 2, 10, 9081","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v**3 - 2*v**2 + 1. Let i be x(-1). Suppose 2*s + 9 = 5*y, 5*y + i*s - 24 = -0. What are the prime factors of 6 - 2*y\/(-2)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, r: 9, j: 4, u: 4}. Give prob of sequence uruj.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand u + u + 0*u + (24 - 18 + 19)*(-7*u + u - 3*u)*(18 + 0 + 24).\nAnswer: -9448*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/7))**2\/(x\/(x*x*x**(2\/13)*x))**(-2\/59) assuming x is positive.\nAnswer: x**(1142\/5369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168557 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111888 is divided by 55239.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5870, -23458, -52764, -93782, -146506, -210930?\nAnswer: -287048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8939*j**2*m*w - 2*j**2*m + 18*j**2*w + 2*j**2 + 74*j*m*w + 3*m*w - 73*m + 1 wrt j?\nAnswer: 17878*m*w - 4*m + 36*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10110100011111101000 (base 2) to base 6\nAnswer: -23502412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -14. Is 60 + 0 + -6 + b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3839 divided by 349.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 832219 and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*t + 3600 - 2360 + 3674 = -411*t for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 0)\/((-9)\/(-402)). Let y = g - 1473\/11. What is the common denominator of y and -33\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 63.56.\nAnswer: -63.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1251 and 139.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 69746*o + 206. Let q be s(-11). Round q to the nearest ten thousand.\nAnswer: -770000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8308559 is divided by 230793.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 736 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -18*x**3 - 546*x**2 - 704*x - 232 = 0.\nAnswer: -29, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k**2 + 3*k - 5. Let g(j) = -j**2 + j - 1. Suppose -v = -8*v + 28. Let a(u) = v*g(u) - n(u). Let l(o) = -o**2 + 3*o + 2. What is 3*a(i) - l(i)?\nAnswer: 4*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2392, 1\/9, 0.1, -145 in ascending order.\nAnswer: -145, -1\/2392, 0.1, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1660 (base 14) in base 5?\nAnswer: 112004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 152?\nAnswer: 152.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -310 - -305. What is the nearest to -0.1 in 0, x, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9588923 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1602930 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, 1, -6\/811 in ascending order.\nAnswer: -6\/811, 0, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 + 13*k - 2. Let p = -76 - -79. Let w be q(p). Suppose 4*x - 5*x = -w. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -5, -1, 1453 in ascending order.\nAnswer: -5, -1, 2, 5, 1453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 841753 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 512 + -485. Suppose 0*z = 5*z - 105. Suppose -8*v + z = -h. Solve -4*g + v = 22, -4*o + 5*g = -32 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31.5 + 32. Let f = 0.3 + 1.7. What is the biggest value in f, d, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 6:49 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, 34.9, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*s**2 + 2*s**3 - 60*s**2 + 22*s**2 + 12*s**2.\nAnswer: 2*s**3 - 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005784087 rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 55210 divided by 4\nAnswer: 27605\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4684140, -4684139, -4684138?\n\"Answer: t - 4684141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 83 + -68. Which is smaller: t or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**3 + 435009*h**2 - 4*h - 15404447 wrt h.\nAnswer: -3*h**2 + 870018*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193, 179, 165, 151, 137?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - 1100\/(-90))\/((-39)\/(-9) + -3)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -5*z**5 + 105*z**4 - 510*z**3 - 1930*z**2 + 16515*z - 14175 = 0?\nAnswer: -5, 1, 7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -752 + 1dda?\nAnswer: 1688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1265 + 2042. Let z = 17169\/4420 + 29\/442. What is the common denominator of z and y\/(-448)*4\/6?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10414252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-3) + 204\/9*1. Let t be 2\/2*(7 - 1 - 4). Suppose 0 = -t*z - 2*n + 171 + 119, 151 = z - 2*n. What is the greatest common divisor of r and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -125021 or 2369?\nAnswer: 2369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 5599*f - 197183. Determine t(-35).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mpcgmp. What is prob of sequence pg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pipsmrnmsmmi. What is prob of picking 2 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 61 (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i - 3*i - i + (-79*i + 4*i - 28*i)*(2 - 2 + 2))*(-2*i**4 + 4*i**4 - 4*i**4).\nAnswer: 408*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(-1)\/(-4) + (-1428)\/(-24). Suppose 0 = 4*v + 16, -n + 129 - 34 = 3*v. Let s = n - g. What is the common denominator of 31\/2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 697506 is divided by 725?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-180)\/12) + 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -444?\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -62.5155465.\nAnswer: -62.3155465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -3*n - 1 + 26, 4*n + 3*w = 24 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*u - u - 25*u as c + y*u and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39804 and 25359.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -w - 27, -4*w = -7*w + o - 42. Let s(t) = -t**2. Let f be s(0). Let l = f - w. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 9097*i - 5 + i**4 + 9055*i + 3 to h*i**2 + r*i**4 + s*i**3 + d*i + q and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5 = -0*t. Suppose -12 = -2*j + 3*j - 3*i, -5*i = -j - 22. Solve -5*p + 0 = 3*s - j, -2*p = -s + t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*g - 98, -g - 4*g - 20 = 0. Let c = 10 - -9. Calculate the remainder when s is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 120257403?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1700) + 1 - sqrt(1700)) - (-3 + sqrt(1700)*-2 + sqrt(1700)))**2 - (6*((sqrt(612) + 1)*2 + sqrt(612)))**2.\nAnswer: -196696 - 2472*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/18564 and -67\/1428.\nAnswer: 18564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 h when three letters picked without replacement from {z: 3, k: 5, h: 5, m: 1, u: 1, v: 3}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 5*b + 118, -2*u = -7*u + 5*b + 260. What is the tens digit of (1 + u\/(-10))*-10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 39, -3, -2932, 5, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3217 is divided by 796?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -30?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -645255400 rounded to the nearest 1000000?\nAnswer: -645000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2958 = -2*m + m, 15 = -5*y. Suppose 3*z = b - 738, -4*b + 4*z - 6*z = -m. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -11*s. Let c be f(3). Let x be 13\/11 - (-6)\/c. Calculate the greatest common divisor of 3 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a minute in seconds?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55 - -105. Let z = -48 + p. What is the third derivative of -4*w**6 + 15*w**2 + 13*w**2 - 26*w**z + 5*w**2 wrt w?\nAnswer: -480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**18)\/((b\/b**25)\/b) assuming b is positive.\nAnswer: b**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 271, 275, 279, 283, 287, 291?\n\"Answer: 4*q + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*a**4 + 0*a - 1\/7*a**3 + 0 + 2\/7*a**2.\nAnswer: -a**2*(a - 1)*(a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 s when two letters picked without replacement from vivvieicisecvisqi?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 45?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 792 = 16*c - 136. Let b(u) = -u - 3. Let t be b(-6). Let j(p) = p**3 - 2*p**2 + 1. Calculate the remainder when c is divided by j(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - d - d)*(-318 - 338 + 253).\nAnswer: 1209*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 7*f**2 - 4*f + 36. Calculate a(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8581267361?\nAnswer: 17, 504780433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 22498 rounded to the nearest one thousand?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 64398.402s?\nAnswer: 17.888445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r - 13. Let l(p) = 5*p - 25. Let f(u) = 7*k(u) - 4*l(u). Let x be f(-4). Suppose 0*w + 15 = x*w. Solve w*q = -2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4224.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 89172.35ml in litres?\nAnswer: 89.17235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 800 is divided by 166.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/5)\/l**(3\/11) assuming l is positive.\nAnswer: l**(-37\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -207, -377, -491, -477, -263, 223, 1053?\nAnswer: 2299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (4\/154)\/(18\/189)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.93044cm to nanometers.\nAnswer: 149304400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1800) - -3*sqrt(1800) - (-1*sqrt(288) + sqrt(288) - sqrt(288)))\/(6*1*(sqrt(6) + 2*2*sqrt(6))).\nAnswer: 22*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 + 46*j - 467 - 902 - 216 + 13*j.\nAnswer: 59*j - 1514","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24*395\/(-8532)*5\/(125\/810).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5269661 and 639718?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3896 times -5.3\nAnswer: -20648.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*u - 201*u - 41*u + 79*u - 309*u to o*u + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1254681 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/9*(-3 - -6). Let v = -3 - x. Sort 1, v, 4 in ascending order.\nAnswer: v, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2 - q + 4 + 2. Let u be s(4). Suppose 5*d + 5 = 3*a, 4*a + u*d = -4*d - 4. Is 0 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 33*j**2\/2 + 36*j - 32. Differentiate i(x) wrt x.\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -314298 < -314319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25090 is divided by 599?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 334 - 112 = 0. What is the remainder when t is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a + 10*a**3 - 55*a**3 - 11*a**3 + 4*a.\nAnswer: -56*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 4*z - 5*v - 846 = 0, 4*z - 848 = 4*v. Let b = -1924\/9 + z. What is h in 4\/9*h**4 + 0*h**2 - b*h**5 + 0*h + 0 - 2\/9*h**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44712 = -689*l - 1174*l for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2 = -4*y, -3*y = 4*f - 4 + 12. Find the common denominator of f - 47*2\/44 and -1\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -146*d**3 + 45?\nAnswer: -438*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*p + 1728 = -165*p + 315*p for p.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 38. Calculate the lowest common multiple of 15 and i(-8).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16.6 - 2.6. Let v = 16 - a. What is the nearest to -0.06 in -3, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**5 + 2*s**5 + 3*s**5 + (3*s + 5*s - 6*s)*(0*s**2 + 2*s**4 + 0*s**2) - 4*s**5 - s**5 + 0*s**5.\nAnswer: s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1112, -4967, -11386, -20363, -31892, -45967?\nAnswer: -62582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -62*k + 60*k - 7*k**3 + 6 + 6*k**3 + 2*k**2. Let f be n(3). Which is the second biggest value? (a) -0.3 (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 72 in -1, -2\/17, 0.1, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -3*y - 2*a, 4*a = -289*y + 291*y - 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12034 + 240627\/20. Let r be (-45866)\/(-360) - 8\/(-20). Let f = -507\/4 + r. Calculate the common denominator of z and f.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*y, y = -4*n + 15 + 8. Suppose n = 5*x - 4. Suppose -o - x + 7 = 0. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 10 = 0, -v - 8 = -5*a - 3. Suppose -q - 3 = 2*q, -4*x + a*q + 70 = 0. Let r = x - 10. What is r rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -0.086, -8, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 17\/6*v - 1\/6*v**3 + 5\/2 + 1\/6*v**2 = 0.\nAnswer: -3, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 70?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/9 (b) -1\/28 (c) 29 (d) 2 (e) -1\/6 (f) -4 (g) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -471320*i**2 - 2*i + 3935830 wrt i?\nAnswer: -942640*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, d: 6, w: 1, m: 5, i: 2}. Give prob of picking 1 d and 2 i.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 2*t + 12. Let f be o(4). Which is the second biggest value? (a) 1\/5 (b) f (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 71822 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4112 - 2877. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((56\/(-98))\/(6\/7))\/((-4)\/66)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 13.18 times -0.94\nAnswer: -12.3892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l. Let c(u) = 8*u. Let s = -167 - -205. Suppose 0 = 7*o + s - 17. Give o*v(g) + c(g).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5610295 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: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26*(-2)\/(-6))\/((-14)\/(-126)*6).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 2 - 3 + (2 - 2 + 2)*(0 + 0 + 1) - 5 + 2 + 1 + 0 - 4 + 3 + 0 - 2 + 4)*(-4*w + w + 2*w).\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkp when three letters picked without replacement from {p: 1, r: 1, k: 2, b: 1, d: 3, g: 4}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-11))\/(g\/g**(-1\/4))*((g*g**(-3))\/g)**(-4))**49 assuming g is positive.\nAnswer: g**(147\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 6*o**2 + 6*o - 4. Suppose 4*p + 9 = -3*t - p, 0 = 3*p. Let i = 8 + t. What is v(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 25 = -5*r. Let g(q) = q**2 + 4*q + 3. Let p be g(r). Let v = p - 0. Solve 4*b - v = -0*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51664, 51668, 51674, 51682, 51692, 51704, 51718?\nAnswer: 51734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 6*q - 5. Suppose -5*v + 4*s + 24 = -23, -3*s + 12 = 3*v. Let p be x(v). Solve -2*i + 4*g - 14 = 0, -23 = -p*i + i - 4*g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*a = -0*a - 20, i = -2*a + 2. Let d = 68 - 52. Calculate the remainder when d is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 14. Let m = 28 + g. What are the prime factors of m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147126 divided by -791\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55.8 + 49. Let d = f + 7. Suppose -4*x = -7*x - 12. What is the closest to d in x, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**3 - 270*h**2 + 787*h + 215. What is c(132)?\nAnswer: -445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 + 388*d**2 - 384*d.\nAnswer: -4*d*(d - 96)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 equal to 518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1910*t**3 + 2*t + 1789 wrt t.\nAnswer: 5730*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(704)*1 - sqrt(704))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -583*f - 344*f - 135*f = 215*f + 75343 for f.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2100 is divided by 111.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 42990810 to the power of 1\/2, to the nearest integer?\nAnswer: 6557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 5:06 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z**3. Suppose 45 = -36*o + 9. Determine w(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k**2 + 151*k - 64. Calculate n(28).\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 73 - 21. Suppose k*z - 2*z - 2904 = 0. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 302110 - -1223?\nAnswer: 303333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10\/141 - -67\/282. Which is the biggest value? (a) 2.2 (b) x (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -49*y - 48 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 5, 49.\nAnswer: 5, 34, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s + 0*s - 4*s)*((-3*s + 5*s - 5*s)*(-39 + 5 + 0) + (-1 - 3 + 5)*(-2*s + 1 - 1)) to the form b + j*s + d*s**2 and give d.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/111750 and -41\/55875.\nAnswer: 111750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/(y**(-3\/4)*y)*y))\/y*y*y**2*y*y*y**1*(y\/y**(-4\/5))\/y*((y**(-1)*y*y)\/(y*y\/(y\/(y*y**(-1\/4)))*y))**(36\/5) assuming y is positive.\nAnswer: y**(-131\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 8*n - 99. Give s(10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - q - 8. Let a = -86 + -5. Let y be 2\/13 - 532\/a. What is the remainder when p(y) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -12 + 31 - 12\/(-1). Solve 29 = 2*b + i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*k + 63*k = 910. Let s = k - 178. Solve -5*i - 4*n + 20 = 0, 6*n - 25 = s*i + n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 12 = 0, 29 = 3*b + 5*t - 0*t. Solve i + 2 = -b*x, -2*x + i - 3 = 2*i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1843, -1847, -1851, -1855, -1859?\nAnswer: -1863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i**3 - 332235585*i**2 - 4599186747786612*i + 2299593456952203 = 0.\nAnswer: -27686299, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-12))\/((56\/14)\/8). Let h = -0.98 - 0.02. Do h and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**5 + 2*f**4 + 26444*f**3 - 44*f**2 + 7*f - 357 wrt f?\nAnswer: -60*f**2 + 48*f + 158664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 112 - 77. Suppose -360 = 2*m - 22*m. What is the remainder when g is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 840 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sshnsssss. Give prob of sequence ns.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000355135 rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 3 (c) -4.19 (d) -2\/3 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -37525 (base 16) in base 5?\nAnswer: -24222342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**2\/9 + 3244*s\/9 + 720 = 0 for s.\nAnswer: -1620, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 812354321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(300))**2 + sqrt(35)\/(sqrt(7)*1).\nAnswer: 1\/5 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -42, -1973, -44, 3 in increasing order.\nAnswer: -1973, -44, -42, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 16*w = -14*w - 154, -4*q + 5*w + 317 = 0. Suppose -q + 48 = x. Are x and -28 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159983 is divided by 79963.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 41279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*c**5\/8 + 2211*c**4\/8 - 34167*c**3\/8 + 19353*c**2\/8 + 409023*c\/4 + 28917 = 0. Calculate c.\nAnswer: -119, -4, -2\/7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/13 + ((-289900445)\/(-65) - 7). What is c rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * -813.\nAnswer: -8130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y. Let k be 6\/(-21)*(16 + -37). Let b(h) = 10*h + 3. Let z(t) = 3*t + 1. Let s(i) = -b(i) + 3*z(i). Give k*p(q) - 11*s(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/30)\/(7 - 8)*3 - 860\/25.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 34708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/36*378\/315.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2710 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + -8 + 59 + (1 - 21)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2*x + 1852048*x**2 - 1852034*x**2 - 2*x to the form k*x**2 + h*x + z and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*d - 15 - 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1078 - 1075. Let m = -691\/1575 + -1\/175. Which is the nearest to 3\/5? (a) m (b) 2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 2*k - 3*c - 43, -3*c = 2*k - 25. What is the remainder when k is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29.69 + -0.69. Let f = p + -40. Let o = -15 - f. Which is the closest to -1? (a) 0 (b) o (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 112*m*x - 1837*m - 9*x - 212641 wrt m.\nAnswer: 112*x - 1837","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3\/5 + 18*f**2\/5 - 3*f.\nAnswer: -3*f*(f - 5)*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*b - 36 = 5*j, -7 = j - b. Let x be -2*1*36\/j. Factor -36*z**2 - 44*z**4 - 26*z**3 - 34*z**3 - 12*z**5 + z - x*z.\nAnswer: -4*z*(z + 1)**3*(3*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 a, and 1 v when three letters picked without replacement from {a: 5, i: 7, v: 2}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 19439*t**2 + 5*t + 5. Suppose 75*k - 32*k + 43 = 0. Is z(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.092 + 0.308. What is the biggest value in 2, 1\/4, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, p: 1, i: 4, e: 2, j: 10}. What is prob of picking 1 y and 1 j?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*j + 24 = j, 5*j = -4*r + 36. Let t = -4 + r. Suppose t = 5*i - 0*i - 15. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -67.71 and 151.\nAnswer: 83.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -f**8\/112 + 3*f**6\/40 - f**5\/10 - 9*f**2\/2 - 3*f. Let g(r) be the first derivative of i(r). Let g(p) = 0. Calculate p.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*d - 3*s = 27*d - 30, d = s - 14 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 4\/6) + 12\/(-252)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 1706.21?\nAnswer: -3412.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -126901814 + 126901755.0419755. Let h = -0.0427555 + p. Let j = h - -59. What is j rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2029 - 3*i + 9*i - 2*i - 6*i.\nAnswer: -2*i - 2029","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 47*o - 5. Let q be (-54)\/9*(-2 - (-11)\/6). Let g be n(q). What is the highest common divisor of 28 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30644532 and 0.4.\nAnswer: 12257812.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 12. Let p(c) = -15*c + 4. Let j be p(1). Let l be g(j). Suppose 0 = -3*d + 14 + l. Solve -2*m - d*a = -m + 5, -4*m - 4*a = -12 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*(-72)\/(-180)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 + 0.2. What is the smallest value in -0.04, d, -2\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 117041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 3*s**2\/2 + 2*s + 53. Suppose -k - 2*k - 4*f - 21 = 0, 3*k = 2*f - 3. Calculate g(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 20*o - 337. Let u be d(31). Solve i + 1 + 1 = 2*j, 4*i + 4 = u*j for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 19\/43 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wswwsssswsswwwswwws. What is prob of sequence wwww?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47596*v + 98284 wrt v.\nAnswer: 47596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -1306*x**4 + 23*x**2 + 7*x + 5. Let q(d) = 1959*d**4 - 34*d**2 - 11*d - 7. Let w(m) = 5*q(m) + 7*y(m). Find the third derivative of w(z) wrt z.\nAnswer: 15672*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d - 18270 = -59*d. Calculate the highest common divisor of d and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 550515886?\nAnswer: 2, 113, 2435911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/4)\/(54\/(-144)). Let d be 4\/3 + u\/(-15). Suppose f - d*f = -61. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 182, 1063, 3454, 8111, 15790, 27247, 43238?\n\"Answer: 126*n**3 - n**2 + 2*n + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((8 - 173) + -6)*-1. Suppose j*q = 183*q - 120084. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -21*((-3)\/(-9) + 22\/(-3)). Let u = v - 44. List the prime factors of u.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f - 278 = -124. Solve 4*r + 3*u - f = 0, -10*u + 11*u = 5*r - 23 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4924 = 21*w - 20*w, -w + 3*k = -4914. Is w greater than or equal to 4897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = i, 5*i = -4*w + 3 + 2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -333198?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32246029 is divided by 16122959?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmkk when four letters picked without replacement from {k: 9, m: 11}?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {x: 4, m: 2, o: 4, y: 4, s: 6}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kak. What is prob of picking 2 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -157 or -159?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 577847844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + z - 17. Calculate x(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -4*h + 7*h + 4*s - 5 - 5, -h + 2*s = 9 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*m + 21 = 0. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 621410160 a multiple of 359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 4*p = 2*g - 8, 0 = 2*g + 5*p + 28. Put 2, g, 23, -3 in increasing order.\nAnswer: g, -3, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 760 and 19363660?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*u - 8 + 36 = 0, -3*h + 3*u = 6. Suppose 3*r + h*q = 795, -2*r = -2*q - 613 + 79. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**5 + 2*w**5 - w**5 + (2*w**5 - 2*w**5 - w**5)*(3 - 3 + 4) + (0*w**4 - w**4 - w**4)*(-1 + 1 + 4*w).\nAnswer: -10*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t = 30 + 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one tenth of a second?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5165.\nAnswer: 5, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 482147 to the power of 1\/2, to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x + 16. Let k(y) = -6315*y**2 + 12597*y**2 - 6306*y**2. Give t(k(w)).\nAnswer: 24*w**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-159)\/106*6*1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169191514 is divided by 84595753.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*w = 37*w - 432. Does 24 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -235112*o**2\/7 + 25186*o + 24\/7.\nAnswer: -2*(4*o - 3)*(29389*o + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a**2 + 3*a + 6. Let d(y) be the third derivative of -y**5\/10 - y**4\/6 - 7*y**3\/6 + 191*y**2. Give -6*d(j) - 7*g(j).\nAnswer: j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.052 * -15.\nAnswer: 15.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-24352)\/(-334840))\/(64\/66)\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22)\/55 - (-18)\/(-10)*7. Let q(z) = -17*z**2 - 9*z - 9. Let g(o) = -8*o**2 - 4*o - 4. Determine s*g(y) + 6*q(y).\nAnswer: 2*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 289402, 578820, 868246, 1157680, 1447122, 1736572?\nAnswer: 2026030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewsweswsswsswws. What is prob of sequence sww?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*z**2 - 122*z**5 + z**2 - 79*z**5 + 20*z**3 - 20*z**3 + 7*z wrt z?\nAnswer: -12060*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**3\/15 + 5368*q**2\/15 + 129938*q\/15 + 124568\/15 = 0.\nAnswer: -23, -1, 2708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 3*t**2 - 9 - 1 - 56 - 63*t = 0.\nAnswer: -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 141271496 and 5484.\nAnswer: 423814488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -z**2\/2 + 6*z - 1. Let v(w) = w - 5. Let c(y) = 3*n(y) + 4*v(y). Let u be c(3). Is 0 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4*s + 327, 3*a = 2*s - 2*a - 151. Suppose -4*n + 166 = 2*c, -5*c = 4*n - s - 75. Suppose 2*p + 0*p = n. Is 21 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 20*f + 276 = 0. Solve 4*g - g + f = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18399 - 18012633\/979. Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 7:29 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*v - 21*v + 70 = 0. Calculate the remainder when v*(-23 - -19 - (-6)\/(-2)) is divided by 61.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 6 (b) 53 (c) 2 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 387 and 1419.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 7:40 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10965432151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19226 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 h be 85\/34 - 45\/6. Which is the second smallest value? (a) -0.91 (b) 4 (c) -2 (d) 0.5 (e) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -581 + 664. Suppose 13*x = t - 18. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/29 + (-2040)\/(-696). Solve -11 + 26 = s*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 271 - -60002?\nAnswer: 60273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f - 2*f - 2*f)*(4504 + 7634 - 1351 + 2179 - 1116) + f + 0*f + 0*f.\nAnswer: 11851*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 21\/2 of a meter?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttvv when four letters picked without replacement from twattvvvpvv.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11353203?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -26 from -1.5.\nAnswer: 24.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -375 times 11?\nAnswer: -4125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 347474521?\nAnswer: 173737260.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63347 - -96430. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {n: 3, z: 6, d: 4, k: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 292, 315, 358, 427, 528?\n\"Answer: v**3 + 4*v**2 + 4*v + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 460606.9 days?\nAnswer: 11054565.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*l = 17. Let m be ((-6)\/(-12))\/((-3)\/(-18)). What is the second derivative of -l + 17 - 2*y**3 - m*y wrt y?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 6*z + 4)*((1 + 2*z**2 - 1)*(2*z - 4*z + 0*z) - 2*z**3 + 3*z**3 - 4*z**3 + (0*z**3 - 4*z**3 + 6*z**3)*(1 + 2 - 4) - z**3 + 15*z**3 - 10*z**3).\nAnswer: 30*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -4*u + 1 - 10, p = 2*u + 17. Let l be (-1)\/3 + 58\/(-6). Let g = 6 + l. Sort g, p, -1 in decreasing order.\nAnswer: p, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -404037 or -404039?\nAnswer: -404037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94528 and 164192.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bv when two letters picked without replacement from vbvoovovvvo.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79 + -70. Solve -i = 5*h - 19, h = 8*i - 3*i + d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -x. Let l(u) = 104*u + 4267. Let h be l(-41). Solve -b + 0*b - 19 = 4*v, -3*b + 3*v + h = x for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 17 = -11. Put -16, r, -1 in increasing order.\nAnswer: -16, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 129.924 - 203. Let z = y + 0.076. What is the nearest to 1\/3 in z, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7*(-9)\/126*(6 + 0). Let y(k) = -4*k**3 + 3*k + 3. Let w(h) = 7*h**3 - 5*h - 5. Give o*w(u) + 5*y(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-2))\/(13\/(-182)). Suppose 5*j - 57 = -3*v, -5*v = 5*j - q - 64. Let t = 15 - v. Calculate the lowest common multiple of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(208)*5 - sqrt(208) - sqrt(208) - sqrt(208)) + sqrt(208))\/(sqrt(4) + (sqrt(144)\/sqrt(4))\/sqrt(9)))\/(-4*sqrt(324)*-1*-5).\nAnswer: 7*sqrt(13)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1140462355?\nAnswer: 5, 41, 5563231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238 + 561 + 296 - 360 = 105*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 25*b**2 - 74*b + 643. Calculate k(23).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**6*g)\/g**(6\/5))\/(g**(2\/9))**(-8\/15) assuming g is positive.\nAnswer: g**(799\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 368262394 a multiple of 1377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and 341291.\nAnswer: 3412.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1946\/9 + 8\/(-36) is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-3*(3*sqrt(2)*2 + sqrt(2)) - ((sqrt(28)*2)\/sqrt(7))\/sqrt(2)) + 3).\nAnswer: -3 + 23*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 24 = 9*w. What is the derivative of 3 + w - 4 - 16*j**3 + 11 wrt j?\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.89387147 rounded to two decimal places?\nAnswer: -30.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 3 = -4*n - 2*p, -20 = 4*p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-33 - -44) + (-19 - (2 - 2 - 1))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y + 4. Let p(o) = 7*o - 4. Let n(x) be the first derivative of x - 5. Let q(i) = 5*n(i) - p(i). Calculate -9*b(l) + 4*q(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -792 at least as big as -5541\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 4*u + g, g - 59 = -5*u + 2. Let h be 1\/(40\/u + -3). Suppose 4*y = 2*f + 40, 12 - 52 = -4*y - h*f. What is the highest common factor of y and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 103 + -116111926.\nAnswer: -116111823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 123012 (base 5) in base 7?\nAnswer: 16604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 2*a - 2 - 3*a)*(314*a**3 - 38*a**3 + 55*a**3).\nAnswer: -662*a**4 - 662*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c. Let g = -36 + 63. Let a = 27 - g. Let n(o) = 0*o + 2*o + a*o. Give b(n(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18752, 18754, 18764, 18788, 18832, 18902, 19004, 19144?\nAnswer: 19328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10113502 is divided by 68.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 14*d**2 + 185*d - 384. Give v(2).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9.74348 and 79.\nAnswer: 88.74348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-12))\/((-2085)\/(-1112))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 33249841 and -3?\nAnswer: -99749523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a microsecond in nanoseconds?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + 0. Let f = 0.1 + q. Put f, -3, -1\/6 in decreasing order.\nAnswer: f, -1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -15.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3006738, 6013506, 9020274, 12027042, 15033810?\nAnswer: 18040578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 39*u - 22. Let c be f(-28). Let i = c + -265. Calculate the highest common factor of i and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 82*x**2 - 754*x + 2082. Calculate l(-71).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 490 = 2*c - 628. Let f be c\/6 + (-7 - 328\/(-48)). Let d = f + -32. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (28\/(-12))\/((-1)\/27) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r - 10 - 3*r + 7*r - 4*r - r.\nAnswer: 4*r - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 417 + -415. Does 8 divide b + 418 - (-41 - -45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 3*h**2 + 118*h + 569. Determine z(-5).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.1, 6, 3\/11, 106, -1 in decreasing order.\nAnswer: 106, 6, 3\/11, 0.1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.6 - -4.8. Which is greater: s or 0.33?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 18*m + 57. Let z be (-1)\/4 - (62\/8 - 4). Let u be g(z). Solve 3*i - u = 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*2.153.\nAnswer: 25.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5216536661.\nAnswer: 7, 103, 571, 12671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -136 + 131. Let v(b) = -100*b + 3. Let m(l) = -101*l + 4. Let p(h) = -2*m(h) + 3*v(h). Is p(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414 - 5199 = 1386*y - 1551*y for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9 - -1. Let x = -6.1 - -6. What is the nearest to x in 2, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82\/3*x + 0 + 2\/3*x**2 = 0. What is x?\nAnswer: -41, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -605538 and -1.3.\nAnswer: 787199.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**3 - 405*u**2 - 14225*u + 2794. Determine g(233).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/25)\/(4\/40). Solve -2*b + 3*b - 3*a = 4, 0 = p*b - 3*a - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 65 = -5*v, -3*o - 326 = -3*v - 365 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*n**4 - 144*n - 54*n + 1 + 180*n as z*n**2 + b + g*n**4 + t*n**3 + o*n and give o.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 1725*n**3 + 2*n**2 + 4*n + 1117. Let l(r) = 1733*r**3 + 3*r**2 + 6*r + 1115. Let g(w) = 3*k(w) - 2*l(w). Find the first derivative of g(a) wrt a.\nAnswer: 5127*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 448*l - 6597339 = 427*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -11345*n. Let w(r) = -38*r**2 - 8*r - 8. Let s(a) = -24*a**2 - 5*a - 5. Let q(v) = 8*s(v) - 5*w(v). What is i(q(x))?\nAnswer: 22690*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 237791 (base 15) to base 5\nAnswer: 413232321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t + 1. Suppose -z + 0 - 5 = 0. Let v be i(z). Suppose 4*f = 2*d - 40, 0 = -7*f + 3*f - v. Solve -d = -2*u - u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**3\/9 - 124*p**2\/9 + 94*p + 108 = 0.\nAnswer: -1, 9, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 z when four letters picked without replacement from {z: 9, x: 4, f: 6}.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -17210, -34245, -51280?\n\"Answer: -17035*j - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8436957.\nAnswer: 3, 2812319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*k - 306 = 239, -4*f - 4*k + 540 = 0. What are the prime factors of f?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = p - 2*p + 241, -5*p + 5*x + 1175 = 0. Suppose j - p = -0*j + 5*i, 2*i - 201 = -j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11937547 a multiple of 1236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -4*d**5\/15 + 5*d**4\/3 + 4*d**3\/9 - 10*d**2\/3 + 52. Find g, given that o(g) = 0.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -160*v**3 - 207068*v**2 - 862152*v - 557280 = 0. What is v?\nAnswer: -1290, -27\/8, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence si when two letters picked without replacement from iisyiigg?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 80?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 - -40. Suppose 8*u - 3*u - 5795 = l. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -6*i**3 + 14*i**2 - i + 10. Is h(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175247 is divided by 58415?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -19*j - 16. Suppose 0 = -2*d + 11 - 17. Let u be g(d). Suppose u = n - 2. Which is greater: n or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3\/136 (b) 6 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7*-0.016\nAnswer: -0.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.5767 + -0.4233. What is the closest to -7\/20 in -4, x, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -279 divided by 87993?\nAnswer: -31\/9777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*x + 24, -23 + 3 = -5*l. Let w(a) = a. Let d be w(x). What is the third derivative of -2*s**2 + 5*s**2 + 5*s**d - s**4 + s**2 wrt s?\nAnswer: 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.3466ml in litres?\nAnswer: 0.0843466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 16 = t - 0*j - 4*j + 4*j - 2*j, 2*j - 504 = -19*t for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - i**2)*(4*i - 1 + 1)*(0 + 2 + 0)*(-3 + 2 + 2).\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**2. Let x(s) = -239*s. What is j(x(f))?\nAnswer: -171363*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-15)*u**21)**41 assuming u is positive.\nAnswer: u**246","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, d: 9}. What is prob of picking 2 r and 2 d?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 423450281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -25*z**3 + 2*z**2 + 549*z + 545. Calculate x(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3881 + 3895. Let r(u) = u - 24. Determine r(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w + 182*w = 82813 - 7969. What is the highest common divisor of 374 and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 10:17 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 241 - -19. Suppose u - f = -65. Suppose -6*m + u = -m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*a**2 - 7*a + 20 + 7*a.\nAnswer: -16*a**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-2) - 43\/(-43) - -6. Suppose 4*p = p + a + 18, -m*p + 5*a + 18 = 0. Solve -q + 7 = p for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.399167 rounded to two dps?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 2109*x**7\/7 - 56*x**3\/3 - 5*x**2 - 258. What is the third derivative of q(f) wrt f?\nAnswer: 253080*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*h = -30*h - 6160. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4900.8 * 0.1\nAnswer: 490.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112, 207, 302, 397, 492?\nAnswer: 587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = b. Let l be (1 - b)\/(4\/44). Let w = -11 + l. Which is smaller: w or 1\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 d when three letters picked without replacement from dzuhhhhhzuazuha?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19.25 + -1.25. Let z = x + -17.99999946. What is z rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of z**5\/20 - z**2. Let r(y) = -y**2. Calculate r(t(w)).\nAnswer: -9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 16*u**2 - 2*u - 13. Let m be x(-16). What is the derivative of -m + 0*l**3 - 16*l**3 - 3 + 8 wrt l?\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38333948\/81 or -473260?\nAnswer: -38333948\/81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 9*z = -292. List the prime factors of z.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 342, 2, -3 in ascending order.\nAnswer: -4, -3, 2, 342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10424 + 10426. What is the second biggest value in 8\/5, 6, -3, f, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3 = -3*s, y = -5*s + 3*y + 23. Suppose -s*b + 43 = -5*t, 3*t + t + 30 = 2*b. Solve 5*m - 5 = 10, -2*m = -5*u - b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10919 is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 37289737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -6. Let o = 2 + f. Let s = -1.5 + o. What is the smallest value in 0.4, s, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 14*k**2 - 49*k - 47. What is the remainder when 364 is divided by w(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54768.874 - -54823. Let l = c - 54. Let s = -0.125887 + l. What is s rounded to five decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f - 1. Let a be k(-4). Let x(i) = 1912*i - 2. Let p(q) = -191*q. Let v(h) = -10*p(h) - x(h). Calculate v(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 93\/62 + (-74)\/(-4). Solve 0 = 7*z - m - 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2824*f - 21245 = -3431*f for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -114.4 - -168.4. Which is the closest to -0.3? (a) 0.4 (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -111011?\nAnswer: 111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**6\/60 - o**5\/20 - o**4\/24 + 4*o. Factor i(m).\nAnswer: -m**2*(m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ln when two letters picked without replacement from pnnnnpl.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 330 and 15048?\nAnswer: 75240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + 21. Let u = -30.981 + c. Round u to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.32+-5\nAnswer: 4.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0602163 and 0.13.\nAnswer: -0.007828119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.05, 2, -4\/7, 10\/9, 28, -2, 1\/3?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-6) - -12)*(-4)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*f. Suppose -5*s + a + 17 = f, 5*s - 14 = -2*a + 12. Put 3, -2, s in ascending order.\nAnswer: -2, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -86 - -90 - (7 - (79 + -14)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-14) - (-21)\/49. Is ((506*2)\/4)\/b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**9)**(-48) assuming x is positive.\nAnswer: x**(-432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-240)\/(-110) + (-4)\/22. Let o(g) be the second derivative of 1\/2*g**3 - 3\/2*g**j + 0 - g. Differentiate o(k) wrt k.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6174409 - 783525.\nAnswer: -6957934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 86 times 43\nAnswer: 3698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 302*b - 1095. Calculate d(4).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 312773?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*u = 10, n = u + 1. Suppose n*g + 4 = 4*g. Which is smaller: 24 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12109, 24229, 36359, 48505, 60673?\nAnswer: 72869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (46\/8)\/((-1)\/(-20)). Suppose -2*r = 3*r - y. What is the remainder when r is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1941 and 24.\nAnswer: 15528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1687306583.\nAnswer: 1687306583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19\/10 + -147\/5. Let j = -26 - y. Let n = 2.8 + -3. Which is the second biggest value? (a) j (b) n (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -140 + 56 - 27*t + 10*t - 38*t. Let c be b(6). Which is smaller: c or -413?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 637\/35)\/(793\/1830)?\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 58, 82, 124, 190?\nAnswer: 286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*12\/54*((-5)\/2)\/((-5850)\/1080).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171391111 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: How many minutes are there between 9:13 AM and 10:05 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -42861557605 + 2\nAnswer: -42861557603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y\/y**(2\/7)*y**7)**(7\/5) assuming y is positive.\nAnswer: y**(68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -196\/9 + 2387\/45. Let k = f - 163\/5. Which is the biggest value? (a) k (b) 2 (c) -4 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1223 + 5?\nAnswer: -1215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1093 divided by -35912\nAnswer: -1093\/35912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 38*k + 307. What is s(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.63 and 6.23?\nAnswer: -3.9249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 12*y + 12. Let d be l(-13). Let i(n) = -2*n**2 + 2*n + 1. Let j(s) = s. Suppose 0 = r - 3 - 1. Calculate d*i(q) + r*j(q).\nAnswer: 2*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -1 + 2 - k**2 + 3 + 3*k. Let v be l(3). Suppose -v*s - 5 = 2*w - 1, -3*w - 2*s + 2 = 0. Solve w*h - 15 = -h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.9, -1, 3\/7, 2\/13?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3*(sqrt(121) + sqrt(121)*-1) - sqrt(121)))\/(sqrt(176) - (sqrt(176) + 6*(1*sqrt(176) - sqrt(176)) + sqrt(176)))*-4.\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 10*y**2 - 21*y - 48. Let z be f(-12). Let x = z - 1109. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 37 + ((-16 - -23) + 26 - 21) - -14.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076\/5 + ((-507)\/(-65) - 7) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 8 + 7 = -41 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/15)\/(b**6\/b*b)*((b**(-3)\/b)\/b)**(2\/3))**(7\/2))**21 assuming b is positive.\nAnswer: b**(-6909\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 85595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*b = 56, 7*t + 59 = 4*t - 2*b. Does 3 divide (-3 - -1)*(11 + t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 184*y**3 - 904*y + 20. Let f(k) = -82*k**3 + 402*k - 9. Determine 20*f(p) + 9*w(p).\nAnswer: 16*p**3 - 96*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 3\/2, 7\/2, -30849\/5, 1, -2\/11, -1?\nAnswer: -30849\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-2))\/27*3*-2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 109507 - 0?\nAnswer: 109507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 9 = -3*t, 0 = -31*t + 34*t + 3*s + 12 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c\/(c*c\/(c*(c\/c**9*c*c)\/c)))\/c))\/(c**7\/c)*(c\/(c*c**(-1\/3)))**43)**1 assuming c is positive.\nAnswer: c**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**4 - r**4 + r**4 + (-1 + r**2 + 1)*(-2*r - 2*r**2 + 2*r) - 3 + 3 + 3*r**4 to the form c*r**3 + i*r**4 + j*r**2 + f + d*r and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -113*i**3\/3 + 1275. Let n(s) = 6*s. Determine h(n(j)).\nAnswer: -4068*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 + 42. Solve -1 - 11 = -4*l, -4*a - y = 5*l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3768, -15086, -33948, -60354?\nAnswer: -94304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 78540184 to the power of 1\/2, to the nearest integer?\nAnswer: 8862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*(36 + 9396\/(-216)).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5 - 3 - a - 21*a**2 + 20*a**2. Let m be k(3). List the prime factors of (-96)\/m - 4\/(-10).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(1\/2)*y)\/y)\/y)**(-43)*(y**0)**(1\/51)*y\/y**(2\/17)*(y\/((y**(-1)\/y)\/y))\/y*y\/(y*y*y*y\/(y*y**(-1))*y)*y**4 assuming y is positive.\nAnswer: y**(-599\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 14*u - 4. Let v be w(-13). Suppose -b + 10 = 4*m + 4*b, -m + 2*b = -v. Let n(d) = 2*d - 7. Determine n(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -5383796.\nAnswer: -2153518.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -111, -870, -2831, -6564, -12639, -21626, -34095?\n\"Answer: -95*q**3 - 31*q**2 - q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, 25, -2, 5.\nAnswer: -51, -2, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.238 times 4\nAnswer: 0.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-390)\/(-18) + 1*(-1)\/(-3) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81743.7 times 1.7\nAnswer: -138964.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 12468, -4, 11 in descending order.\nAnswer: 12468, 11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (162\/(-189))\/(6\/70)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 10:08 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 5*r + 12, 4*r = -0*r - 16. Let m(h) = -3*h**3 - h**2 + 4*h + 4. Let d be m(-1). Solve q*o - d*z = -4 - 8, -2*z = 4*o + 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -16 - 10. What is the derivative of -2 - 8*z**3 + x*z**3 - 4*z**3 wrt z?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 5 - 57. Suppose 3*f = -5*j + 9, 4*f + 1 = 2*j - k. What are the prime factors of f\/(-6)*(43 + -1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4298.0004198 - 4298. Round u to five dps.\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.46 + 0.06. Sort 1\/6, q, -13 in descending order.\nAnswer: 1\/6, q, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 9*r**2 + 25*r - 13. What is z(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**3 - u**3 + u**3 + u**3 + 2*u**3 - 4*u**3 + (-5 + 5 - 2*u)*(u**2 + u**2 - u**2) + u**3 + 2*u**3 - u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-10))\/(1\/10). Let k(t) = -t**3 - 9*t**2 - 11*t - 9. Let q be k(l). What is the highest common factor of q and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 304208 and 2120?\nAnswer: 302088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001291407701 rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -34, 2, -3, -4, -245 in descending order.\nAnswer: 2, -3, -4, -13, -34, -245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -16. Let r be 0 + -4 + (48 - 0). Let j(m) = -m**2 - m + 1. Let l(k) = 12*k**2 + 15*k - 7. Let y(u) = q*l(u) + r*j(u). What is g in y(g) = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-76)\/(-14) - (-36)\/(-84). Suppose m - 3*w = 20, 0 = -2*m + 6*m + l*w + 5. Let g(a) = a**3 - 6*a**2 + a - 3. Let k be g(m). Is -23 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249872106?\nAnswer: 2, 3, 11, 149, 25409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 32. Let m = 14 + q. Calculate the remainder when 10 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 4:44 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21.53 + -28.53. What is the third smallest value in -5, 24, h?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -540*l + 550*l + 30. Is -120\/31 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 7560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-192)\/256*-1*4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ts when two letters picked without replacement from usututtus.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2380 is divided by 54.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -128, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2. Let o(v) be the second derivative of v**4\/6 + 8*v. Give d(o(r)).\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3467039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 2:28 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -37*v + 69. Let b(u) = 31*u - 70. Determine -5*b(a) - 4*z(a).\nAnswer: -7*a + 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f - 21. Let j(b) = 4*b - 42. What is -4*j(g) + 7*t(g)?\nAnswer: -2*g + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -286 + 14*h**2 - 45*h**2 + 286 to s*h + n + y*h**2 and give y.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -190, -410, -628, -844, -1058, -1270?\n\"Answer: d**2 - 223*d + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k**2 + 161 + 6*k**2 + 0*k**2 - 7.\nAnswer: -k**2 + 154","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from yyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 4*q + 24 + 2*q**4 + 65*q + 2*q**4 - 34 to the form s*q**3 + k*q**4 + c*q**2 + p*q + w and give p.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 0*h + 86\/7*h**4 + 82\/7*h**2 + 166\/7*h**3 + 2\/7*h**5 = 0. What is h?\nAnswer: -41, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -141.8 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1)*y**0)\/(((y*y*y**6*y)\/y)\/((y*(y\/(y\/y**2))\/y)\/y)))\/((y**(-3)\/(y**(3\/2)\/y))\/(y**5*y\/y**(-6))) assuming y is positive.\nAnswer: y**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-4 + 3) - -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -0.5, -1, 31\/299, -0.06.\nAnswer: -1, -4\/5, -0.5, -0.06, 31\/299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 5*x**2 + 13*x - 292. What is the remainder when g(11) is divided by 179?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, j: 5, b: 1, l: 4}. What is prob of sequence lbjl?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 89768.7722 + -89747. Let h = -0.3422 + t. Round h to zero dps.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 12. Let d be k(5). Let c(f) = -f**2 + 9*f - 3. Calculate the remainder when (-1)\/2 - (-107)\/2 is divided by c(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 106*v**2 + 46*v + 5. Let b(c) = -3*c + 8. What is b(y(i))?\nAnswer: -318*i**2 - 138*i - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -92*j - 457. Calculate a(-8).\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 12. Let v be -3*(3\/j - 2). What is v rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**4 + 27396499*a**2 - 60247081*a wrt a?\nAnswer: 36*a**2 + 54792998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 18. What is the greatest common factor of 48 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24943873061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - -0.4. Round x to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-30) - 0)\/(7\/(-35))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1404\/515 greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 689, 2778, 6261, 11138, 17409, 25074?\n\"Answer: 697*o**2 - 2*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-125)\/(-250))\/(-31*6\/24)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13.3046539 - -11951.1027539. Let n = -11942.8 + w. Let m = n - -5. What is m rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -3. Let j be 1 + (p + 1)*2. Determine k so that -1 - 3*k**4 + 3*k + 3 - 7*k**3 + 0 - j*k**2 = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjil when four letters picked without replacement from {x: 2, l: 1, k: 2, j: 1, i: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 3*l = 48, 17*u - 14*u + 0*u + 2*l = 53 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 5*b**5 + 60*b**4 - 385*b**3 + 660*b**2 - 340*b = 0?\nAnswer: -17, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t**2 + 121*t - 53. Calculate c(-24).\nAnswer: -653","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1346*z**4 + 129*z**3 - 169231*z**2 - 2?\nAnswer: -32304*z + 774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 18908?\nAnswer: 75632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(x - 4 + 4)*(11*x**4 - 39*x**4 + 2*x**4 + (-x**2 + 4*x**2 - 2*x**2)*(x**2 - 3*x**2 + 4*x**2)).\nAnswer: -24*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhhchvvhhvvcvvhhvv. Give prob of picking 2 c.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*n + 20*n + 186*n**3 - 213*n**3.\nAnswer: -27*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10412608\/121 or 86055?\nAnswer: 10412608\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m. Let u(q) = -27*q + 5. Let j(b) = -946*b + 176. Let l(k) = 5*j(k) - 176*u(k). Calculate l(r(v)).\nAnswer: 22*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 354433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + -2)*1 - -5. Suppose -x = 3*x + d - 14, -5*d + 4 = -p*x. Solve x = -3*c + 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 388, 846, 1388, 2002, 2676?\nAnswer: 3398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -24\/85 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/6, -1\/3, -4773, 20, 1\/3, -2\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 118*n + 56421. What is d(-190)?\nAnswer: -2099","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 938, 4, 49.\nAnswer: 4, 49, 938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - o**2 - 2. Let s(g) = -g + 1. Let t be s(1). Let r be q(t). Let k(d) = 2*d**2 + 4*d - 6. Let a be k(-3). Which is smaller: a or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-60 + 62)\/((-2)\/1). What are the prime factors of (-2 + (v - -173))*4\/8?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 889 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -442\nAnswer: -6\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/9 and -31\/384?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -12. What is the third derivative of -m*r**6 - 3*r**6 + 3*r**2 + 2*r**6 + 3*r**6 wrt r?\nAnswer: -240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59 - (7 - (-4 + 10 - 9)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 5, 4, -5, 10, -735 in ascending order.\nAnswer: -735, -5, -2, 1, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Divide 2651313 by -1757.\nAnswer: -1509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18943257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.15192 and -1.7.\nAnswer: -10.458264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 - 2 + 2 + (-3 + 3 + f)*(11*f + 11*f - 30*f) + (0 + f + 0)*(-2*f + 5*f - 4*f) - 2 - f**2 + 2 + 2*f**2 - 3*f**2 - 9*f**2.\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73 + -73. Suppose a = -2*u - 3*g + 18, -2*g - 4 = -0. Solve z + 0*z + 5*c - 25 = 0, -u = -3*c for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45444381 take away 6716.6?\nAnswer: -45451097.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56624439?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 10) to base 2.\nAnswer: -11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (14 - 2)*6\/(-12). Let k be f\/(-4) + 18\/12. Solve h - k*j = 1 - 9, 4*j = -2*h + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -96 - -100. Let q(l) = l**3 - 3*l**2 + 1. Let d be q(3). Let g be j\/12 - ((-2)\/6 + d). Is 1\/5 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*b**3*x**3 + 5377*b**3*x**2 - 419*b**2*x**2 - 60*b*x**3 - 2*b*x**2 - 2*x**2 wrt b.\nAnswer: 252*x**3 + 32262*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 + -55. Let q(t) = -t**3 - 7*t**2 - 3*t - 5. Let s be q(-7). Let m = g + s. What is the lowest common multiple of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 1\/2*o**2 + 2 + 0*o. Let k(w) = 6*w - 16. Let i(f) = f - 3. Let d(m) = -16*i(m) + 3*k(m). Determine d(g(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5938181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j - 11*j + 353425 = 0. Suppose 0 = -5*q + 5*z + 14140, -10*z = 5*q - 12*z - j. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3882 or 3883?\nAnswer: 3882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 4*n + 95. Let o(b) = 5*b**2 - 1. What is the remainder when n\/3 + (-4)\/(-6) is divided by o(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 - 6570*q**3 + 2151665*q**2 + 4323060*q + 2164820.\nAnswer: 5*(q - 658)**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1311992 is divided by 9939.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 770 = -36*s - 54*s - 20*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*c**(-4\/9)\/c*c)\/c*c**(-5))\/(c**(-2\/7)*c**9) assuming c is positive.\nAnswer: c**(-829\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4560060341 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*g - 4 + 944*g - 232*g + 1263*g.\nAnswer: 1868*g - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 1060.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0794733cm in kilometers?\nAnswer: 0.000000794733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2835)\/(-980))\/27*((-1)\/36 - (-14)\/56)?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - t. Let i(s) = 17*s**2 - 12*s - 19. Let c(r) = -i(r) + 5*u(r). Let b be c(7). Find the common denominator of 65\/4 and (-1055)\/b + 3\/(-8).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -289, 54, 397, 740, 1083?\nAnswer: 1426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/6 and 91\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-648)\/(-2)*(-14)\/(-21). Calculate the greatest common divisor of 672 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 5*o = -4, -10*o + 3 = 3*g - 7*o for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -162792.05 to the nearest one thousand.\nAnswer: -163000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -t**4\/12 + t**3\/6 + t**2 + 3*t + 5. Let w(q) be the first derivative of m(q). Factor w(z).\nAnswer: -(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 23461, 27718, 31975, 36232, 40489?\n\"Answer: 4257*l + 19204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -4\/3, 25, 4, -1574, 3\/7, -0.4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -1163533.\nAnswer: -2\/1163533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 7. Let p be h(-5). Let v be ((-30)\/12)\/(1\/p). Let y(q) = -q - 1. Calculate y(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.87 - -1.47. Let q = s + 0.4. Let f = 7 - 7.1. Which is the third smallest value? (a) -5 (b) f (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b. Suppose -4*y - 15 = -11. Determine x(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 488603090?\nAnswer: 2, 5, 31, 1576139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 10*i**2 - 2*i - 2. Let q be b(-1). Let x = 75\/2 - q. Is x < 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*o - 3*o + 15 = 0, -5*p - 2*o + 10 = 0. Suppose p = 3*i - 6, -i = c + 2*i + 20. Let r(f) = -f - 17. What is the units digit of r(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9423, -9251, -9079, -8907, -8735?\nAnswer: -8563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l - 15. Let o be q(0). Let m be ((-32)\/(-10))\/(o\/(-75)). Factor -2\/3*y - 2\/3*y**3 - 32\/3*y**5 + 0 - 4*y**2 + m*y**4.\nAnswer: -2*y*(y - 1)**2*(4*y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 485030 and 5453?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/74, 15 in descending order.\nAnswer: 15, 1\/74, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-654)\/(-36) - (-2 - -6) and -55\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9114714 and 2422?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 5044040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*f - 2*w + 75, w - 70 = -5*f. Let v = f + 15. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22011 (base 4) to base 6.\nAnswer: 2553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + u - 2. Suppose 0 = -6*r + 3*r - 9. Let g be i(r). Let d = 13 - g. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 827.225 millimeters to centimeters.\nAnswer: 82.7225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 16 = 4*g, 4*j = 130*g + 156 + 486 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*j + 69 = 5*u - 41*j, -60 = -4*u + 4*j for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -651 + 11 = 320*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80493803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*k + 250 + 30. Let h = 2 - 0. Suppose -583 = -k*n + w, h*w = 5*n - 208 - 378. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2\/5*j**5 + 0*j**3 - 20*j**2 + 16\/5*j**4 + 84\/5 - 2\/5*j = 0.\nAnswer: -7, -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -0*v - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from emfff. Give prob of picking 2 f and 1 m.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2\/3 + 1380260*s\/3 + 476279416900\/3 = 0 for s.\nAnswer: -690130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 24.953?\nAnswer: 49.906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121.224 - 0.022325686.\nAnswer: 121.201674314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3292 + 4.6708. Is -127 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1112.457 times 11\nAnswer: -12237.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + d = -23, 0 = 4*w - 6*d + 2*d + 4. Let i(g) = -5555*g**2 + g - 14. Let c be i(w). What is c rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40.6 - -12.4. Let t = v - 35. What is the third smallest value in t, 4, -4, -3\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.10816 + -0.10816. Which is the second biggest value? (a) -0.5 (b) h (c) -98 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 132\/(-15) - (-1)\/(-5). Let s be k\/(-1 + 4) - 0. Let f = 2 + s. Which is the closest to -0.1? (a) -1\/4 (b) f (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13921979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11342477*l**4 + 19897384*l**2 + l wrt l?\nAnswer: 272219448*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.02114 and 14.\nAnswer: 13.97886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1826219832 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-283*k - 3537 + 3537)*(0 + 0 + 1).\nAnswer: -283*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -8 - -2 - 10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**6\/180 + f**5\/90 + f**4\/36 - f**3\/9 - f**2 - 2. Let p(h) be the second derivative of c(h). Factor p(y).\nAnswer: -2*(y - 1)**2*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.4 (b) 0.3 (c) -2\/243 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r - 8. Let t(h) = h**3 + 3*h**2 - 7*h - 5. Let v be t(-4). Is 5 a factor of a(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1362 a factor of 1195571772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 49 - 127 = -4*b, -2*i + 340 = -4*b. Does 43 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 444762 and 8928?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1263, 3656, 6067, 8508, 10991, 13528?\nAnswer: 16131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 98 - 86. Suppose 3*r - 2*f - p = -r, 3*r - 8 = f. Solve -r*j + j - j**2 + j**3 + j = 0 for j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463729100.\nAnswer: 2, 5, 269, 17239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, h: 14}. Give prob of picking 4 h.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 882899 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 + 3*q + 3. Determine w(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -695*n**2 + 7*n**3 + 343*n**2 + 352*n**2 - 6*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 121655 + -40?\nAnswer: 121615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 18 + 22 = 0. Sort -6, -2, y in descending order.\nAnswer: -2, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22249779 is divided by 225.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/2)\/(195\/(-130))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3471*m. Let o(u) = 38068*u. Determine l(o(n)).\nAnswer: -132134028*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3416332?\nAnswer: 2, 854083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 266158753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/12 or -0.06?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51984*b**4*k*x + 2*b**2*x + b**2 + 19*b*k*x + 4*b*x + 3*b - 2*k - 3*x wrt b.\nAnswer: -623808*b**2*k*x + 4*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 625 and 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 11*t + 2973. List the prime factors of b(0).\nAnswer: 3, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28371.991 to the nearest one hundred.\nAnswer: -28400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2531*o**2 - 4931.\nAnswer: 5062*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 5. Let f(c) = 1. Let q(d) = 6*f(d) - j(d). Let t be q(-14). Let g = t + 10. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -36. Suppose -3*w + 7*y + 198 = 10*y, 3*y = 0. What is the remainder when w is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112861.\nAnswer: 7, 23, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 5 + 4)*(12*a + 3*a - 4*a - a) as o + r*a and give r.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5409160 to the nearest integer?\nAnswer: 2326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43 and 731?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - 4*j + 244. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - -5)\/((-6)\/(-4)). Let s = 62 - 9. Suppose 2*p - s = -21. What is the highest common factor of p and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4521, -4269, -3625, -2403, -417, 2519?\n\"Answer: 31*a**3 + 10*a**2 + 5*a - 4567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21129849 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 329454 (base 10) to base 12\nAnswer: 13a7a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rrrerrrrer.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.123045 to two dps.\nAnswer: -1.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o**2. Let d = 2177\/60 - 181\/5. Let t(p) be the third derivative of 0 - 5*p**2 + 0*p**3 + 0*p + d*p**4. Determine t(n(z)).\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001397685345 to six decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/18853 and 75\/4.\nAnswer: 75412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 1:47 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 0.1 (c) -37 (d) 0.4 (e) -0.0483 (f) 0.5 (g) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9738196, 19476378, 29214562, 38952748, 48690936, 58429126, 68167318?\nAnswer: 77905512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65757, -131549, -197341, -263133, -328925, -394717?\nAnswer: -460509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.037 * 0.5.\nAnswer: -0.0185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4671827810 to the nearest integer?\nAnswer: 1672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 86210058 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/19 + 8912*h\/19 - 9927968\/19.\nAnswer: -2*(h - 2228)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4 + 10*d**3 + 528*d**2 - 1080*d.\nAnswer: -2*d*(d - 18)*(d - 2)*(d + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-10) - 18\/(-5). Suppose -j - 2 = y - 2*y, -4*j + 3*y = d. Let v(f) = 12*f - 3. What is the tens digit of v(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xixa when four letters picked without replacement from {x: 2, h: 3, v: 2, i: 4, a: 2}?\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 15. Suppose -z + n - x = -81, -3*z - n + 232 = 0. List the prime factors of z.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 154 - 1451?\nAnswer: -1286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 7880?\nAnswer: 7878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -21578, -43084, -64596, -86114, -107638?\n\"Answer: -3*v**2 - 21497*v - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12833 + 9480 = 74*u - 8681 for u.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nbqiicc. What is prob of sequence bq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d. Let u(l) be the third derivative of 0*l**3 + 2*l**2 + 0 + 0*l**4 - 1\/5*l**5 + 0*l. Calculate u(y(z)).\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 21*p - 133. Give d(26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.638691 days in hours?\nAnswer: 159.328584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 438785?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1.41 * -5\nAnswer: -7.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 33 = 57. Let y(c) be the first derivative of -z + 0*c**2 + 2\/3*c**3 - c. Give y(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 6*c**2 + 8*c - 2. Let m(d) = -2*d**3 + 12*d**2 - 17*d + 4. Let a(n) = 4*m(n) + 9*u(n). What is the tens digit of a(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -5*g - 2. Let y be c(4). Suppose -11*j = -8*j - 1125. Let v = j - y. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1202.28178 - -1203. What is j rounded to two decimal places?\nAnswer: 0.72","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2115205806 and 219.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2024 (base 6) in base 7?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4199006 - 7400994 = 0. Round l to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1130 + 1132. Let h be 2\/3*6\/(-10). What is the biggest value in -2, h, y, 1\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -4*w**4 - 2*w + 2*w**5 + 4*w**2 - 459*w**3 + 459*w**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 16 + 2 = 0. Let r(x) = -8*x + o - x**3 + 7*x**2 + x**2 + 0*x**2 - x**2. Determine r(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from etbiijhihhhe. What is prob of picking 2 i?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - q - 2. Let l be v(0). Let t(a) = -5*a - 4. What is the units digit of t(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 18207*p**3 - 2 + 18208*p**3 as o*p**2 + h*p + l*p**3 + a and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 6:41 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2394 - 0.1394. What is the fourth smallest value in -311, -2, o, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 848410715 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 4:06 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*n**2*r**2*s**2 + 9*n**2*r*s**3 + n*r**2*s + 3*n*r*s**3 - 25*n + r**2*s**3 wrt n?\nAnswer: 8*r**2*s**2 + 18*r*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 19*t**2 + 154*t + 21. Let i be s(-8). Solve i*m - 3*m = -2*k + 8, 5*m = 5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*c**3 - 1534281*c + 1534281*c.\nAnswer: 83*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114375336?\nAnswer: 2, 3, 389, 12251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 5)*(-6*m**4 + 5*m**4 + 0*m**4) + 7*m**2 - 8*m**4 - 7*m**2 + (m + 0*m + 2*m)*(m**2 - m**2 + 2*m**3).\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 157.2569 times 2.8?\nAnswer: 440.31932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 10*c**2 - 6*c - 7. What is j(9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.6 + -1.6. Let f be (1\/2 - 1) + 30\/44. Let x = -1.1 + 0.1. What is the nearest to u in x, 3\/4, f?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 219 and 214766.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p. Let y(x) be the first derivative of -3*x**2 - x + 7. Give 4*b(f) + y(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 5 (b) 153 (c) -20 (d) 4\/3 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 863 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 33*h - 147 = -39*h + 4*h + 7, 182 = -5*u - h for u.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18629921 to the power of 1\/2, to the nearest integer?\nAnswer: 4316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -23*j**2. Let z(p) be the third derivative of p**4\/24 + 17*p**2. Calculate z(q(i)).\nAnswer: -23*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 11*h**2 - 1645*h - 14476. Give y(-9).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4096 + -1888. Suppose -2*o - 1387 + 5813 = 4*t, -o + c = t. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - -0.4. Let k = -107.1 + 107.6. What is the closest to 3 in -2\/15, w, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-10) - (-1)\/(-5). Differentiate -4*r + 3 + d + 6*r - 4*r wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + 3 - (-8 + 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -10 (b) -2\/9 (c) 3\/2 (d) -1645\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3*t = -21. Suppose 2*j + 2*b = -0*j + 2, j = b - t. Let h(k) = -4*k**2 + 81*k - 168*k + 82*k - k**3 - 4. Calculate h(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*(2\/8)\/(1700\/80*9\/45)?\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, t: 7}. Give prob of sequence tiit.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 844183704 to the nearest integer?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 803?\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 5*k + 49. Let q be l(-10). Let y be 5*(0 - q)*8\/20. Solve -3*r - 3*j = -y*j - 6, -5*r = 2*j - 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494 is divided by 256.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5243308 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/22 + 335132\/154. Suppose -5*b - c = -16271. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 28 = 4*w, -3*w + w + 26 = 5*g for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2856494 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: What are the prime factors of 9784349?\nAnswer: 43, 139, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-6 + (2 - -6) + -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111133 (base 4) to base 3.\nAnswer: 1212221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 > -193\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 948 in -0.06, 1\/5, -7, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5834, -6341, -6866, -7415, -7994, -8609, -9266?\nAnswer: -9971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, s: 2, k: 1, o: 1, w: 1, x: 1}. Give prob of picking 1 o and 1 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + (-2 - 2 - (60 - 69)) + -1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -9 + 24. Suppose -2 = 3*n - 2*n. Sort -5, n, c in ascending order.\nAnswer: -5, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7482, -4, -0.1, 2\/15, 0, 1 in ascending order.\nAnswer: -7482, -4, -0.1, 0, 2\/15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18754 - 3013. What are the prime factors of k?\nAnswer: 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/(-6))\/(3\/(-9)). Suppose 4*j = 4*h - 175 - 117, -h = -5*j - 85. Suppose -5*w - h = -p*g, -g - w + 14 = -0*g. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -5 + (-4 - -5) + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15776 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2 + 8. Let u = g + 0. Suppose 2*f = 9 - 1. Solve -f - 2 = -u*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 - -453\nAnswer: 452.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 2959.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5565989887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -891d8b (base 15) to base 5\nAnswer: -3133141211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a hour in seconds?\nAnswer: 45900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2 + (0 + 2*sqrt(153) - (1 + sqrt(153) + 2) - (sqrt(153)*-2 + -3 - sqrt(153) - (3 + 0 + sqrt(153)))))**2*6.\nAnswer: -360*sqrt(17) + 22974","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-25)\/5)\/(-5)*(-26)\/156.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l\/(l\/(l*l**(-9)*l))))\/l)\/l)\/l)\/l**(-5)*(l\/l**13)\/l**(-13\/5) assuming l is positive.\nAnswer: l**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -25b6 (base 14) to base 16\nAnswer: -19e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 8, 5, 18, -1 in increasing order.\nAnswer: -1, 5, 8, 18, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 - 8)*(-409*c**3 + 221*c**3 + 554*c**3).\nAnswer: -3660*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in 2\/13, 30354, -0.0386?\nAnswer: -0.0386","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-255)\/(-646)*(152\/95)\/(-8)?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1 + (-2 + 5 - 1)*(4 - 6 + 3) + 1 + 5 - 4 - 3 + 0 + 4 + 0 + 3 - 2)*(-p + 0*p - 2*p).\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 389 + 35 = -3*j, 5*g - j = -432. Is -87 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 551 - 220*j + 998*j + 543 - 1636 + 543 to the form r + g*j and give g.\nAnswer: 778","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 171.07 + -173. Let v = p - 0.07. Sort v, -3, -4 in increasing order.\nAnswer: -4, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a + 1\/4*a**2 + 3\/4.\nAnswer: (a - 3)*(a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*q**2*w**2*x**3 - q**2*w**2*x**2 - 4*q**2 - 3*q*w**2*x**2 - 2*q*x - 10*w**2*x**3 wrt x.\nAnswer: 18*q**2*w**2 - 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 314*v + 3163. Let k be a(-10). Solve 17*b - 13*b - 3*z - k = 0, -3*z = -3*b + 21 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113200110 - -23333?\nAnswer: -113110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 4. Let k(y) = -y**3 - 10*y**2 - 7*y + 13. Let z be k(-9). Let p be r(z). Is p\/(3\/6)*13 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/((-10)\/3))\/((-1)\/(-2)). Let j be (6\/9 + -4)*m\/(-2). Let y be (-1 + -14)\/(6\/(-4)). Solve -2*x = 3*t - j*t + y, 3*t + 6 = -4*x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a + 64. Let q be f(-37). List the prime factors of (-32982)\/(-115) + (-12)\/q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (76\/18*3)\/((-2)\/(-3)). Factor 6*z + 21*z**2 + 46*z**3 + 2*z + s*z**2 + 14*z**4.\nAnswer: 2*z*(z + 1)*(z + 2)*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -7. Let i(l) = l**2 + l - 27. Let u be i(-6). Solve -y*w = u*t + 10, 5*w - w + 12 = -2*t for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/87342 and -1\/16?\nAnswer: 698736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 2*u - 7 = 0, 0 = -268*u + 269*u + 4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/30 + (-27516248)\/2640. Let c = z - -10420. What is the common denominator of c and 91\/24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 34*a**2 + 575*a - 50. Let y be q(-17). What is the smallest value in y, -159, -3, -10\/17?\nAnswer: -159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 412 - 292. Suppose -v = -4*k + 2*d - 0*d, 0 = 5*k + d - 143. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 62285 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - -5)*(5 - 3). Suppose 0 = -o*t + 3*x + 54799985, -t - 3*x = 4*t - 137000015. Round t to the nearest 1000000.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 5, 179181, -2\/7, 10 in increasing order.\nAnswer: -2\/7, 0.2, 5, 10, 179181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -137 + 135.26. Let g = z + 1.8. Let d = -0.0599708 + g. What is d rounded to six dps?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -31*l**4\/2 - l**2 - l - 4. Calculate the remainder when d(-1) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**15*r)\/(r*r**1*r)*r**(5\/6)\/r*r**(-6\/11)\/r assuming r is positive.\nAnswer: r**(745\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 6 = -9. Let d = -319 - -319. Which is the second smallest value? (a) d (b) 0.5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 553 is divided by ((-2748)\/96)\/(2\/(-16)).\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 26. Is (8\/h - 7\/21) + 6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9, b: 2}. What is prob of sequence bdbd?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1023.6 rounded to the nearest ten?\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 17*z - 18. Let f be (12 + -3 + -3 + -1)*24\/10. What is g(f)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) 6819 (b) -0.769 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12274 - -12282. What is the least common multiple of n and (-2)\/6 - 722\/(-6)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 6*u**2 + 4*u - 11. Let c(l) = l**2 + l - 2. Let p(o) = 11*c(o) - 2*s(o). Let i be p(3). Factor 3*k**2 - 2*k - k**2 + i*k.\nAnswer: 2*k*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2132*y**3\/3 - 6374*y**2\/3 - 70*y\/3 + 4 = 0. Calculate y.\nAnswer: -2\/41, 1\/26, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -13*s**6\/40 + 13*s**5\/15 - 17*s**2. Find the third derivative of m(w) wrt w.\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 3*t**2 + 2*t - 2. Let y be r(3). Suppose 20 = 6*a - a. Factor 6*q**4 - 8*q**5 + 2*q**2 + 8*q**4 - y*q**2 - a*q**3.\nAnswer: -2*q**2*(q - 1)**2*(4*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 9551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100 + (0 - (-1 - -2))?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -8*l**5 - 724398*l**4 - 6337972*l**3 - 9234952*l**2 + 20824380*l - 4527050 = 0.\nAnswer: -90541, -5, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*p + 26 = 0, p - 3 = 2. Solve -5*a = -8*a - h for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4167*z**3 - 4176*z**3 - 4166*z**3 + 16677*z**3 - 4165*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -173 + 173. Let x(w) be the second derivative of p + 0*w**3 + 0*w**2 - 7\/20*w**5 - w + 1\/2*w**4. Find the third derivative of x(f) wrt f.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/6 - (4 + -4). Let d(i) = i**3 - 9*i**2 + 10*i - 6. Let a be d(8). Let q be 7\/(-4) - a\/40. Which is bigger: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(-1 - 1)\/(-2). Let a be 3 - (o - 5 - -4). Is 2*(74 + 0 - a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a + 0*a**3 + 3*a**2 + a**3 + 3 + 0*a**3. Is c(2) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -300132440 (base 5) to base 15\nAnswer: -183c30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -983*p**2 + 518*p?\nAnswer: -1966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.8 + 2.3. Let x = 1.9 + k. Which is the second biggest value? (a) x (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1580.1 to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -6*z - 30. Let w(c) = 2*c + 10. Let t(m) = -3*k(m) - 8*w(m). Let u be t(9). What is the units digit of 2\/(-8) + 91\/u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27629*f + 4415*f - 3639*f to c*f + h and give c.\nAnswer: 28405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12719.7 - 12734. Which is the nearest to 0? (a) -3\/5 (b) -6 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jloojljljilljjjlji. What is prob of sequence ij?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-432)\/128)\/27)\/(((-148)\/(-12))\/(-37)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17647\/30 + 5889\/10. What is the third biggest value in -0.4, j, -7.2?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.4113, -1, -19 in descending order.\nAnswer: 0.4113, 0, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 1. Let n(l) be the third derivative of -13*l**4\/24 + 13*l**3\/6 - 41*l**2. Determine -13*i(r) + n(r).\nAnswer: -13*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 7 - 7*r**4 + 1231*r**2 - 1232*r**2 + 2*r in the form z*r**3 + b*r + o*r**4 + v*r**2 + a and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/10 + (468\/20 - -4). Suppose -m = 4*c - 31. Is -2\/463 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 13. Let u be i(8). Suppose -l = -u + 1. Suppose f + 3*d + 6 = 3, -l*d = -5*f + 4. What is f rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3820 is divided by 3548?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 3\/62, 6, -3, 2\/5?\nAnswer: 3\/62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17980*b**6 - 2904*b**2 - b + 17?\nAnswer: 2157600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 378*j + 376*j + 2 = 0, j + 26 = -5*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06383 minus 598448581?\nAnswer: -598448581.06383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5954880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 101198969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, o: 2, b: 1, w: 2, y: 1}. What is prob of sequence obn?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xmmmxmmxxmxmmmmxmxm.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -r + 3*r. What is the greatest common factor of r and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 2:34 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91271381879 - -4304.\nAnswer: 91271386183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -36, -42, -50, -60, -72, -86?\n\"Answer: -j**2 - 3*j - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1521 + -1518. Let f(t) = -6*t**3 - 5*t**2 - 15*t - 9. Let r(x) = -3*x**3 - 3*x**2 - 8*x - 5. Give v*f(n) - 5*r(n).\nAnswer: -3*n**3 - 5*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-1))\/((-13)\/((-65)\/(-5)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, p: 5, r: 1}. What is prob of sequence pr?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1985?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 45 in decreasing order.\nAnswer: 45, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10aa (base 14) in base 2?\nAnswer: 101101001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**1\/z)**36\/((z**(-5\/2)*z)\/(z**(-1\/12)*z)) assuming z is positive.\nAnswer: z**(461\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vva. Give prob of sequence aav.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 e when two letters picked without replacement from fhfppeeffpfxe?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqxqqqqxqqqxqqqqx. Give prob of picking 3 x and 1 q.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, n: 6}. Give prob of sequence kknn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*(-151 + 4) + 2 + -5. Let g = o + -877. Let 1\/4*k - 1\/4*k**3 - 1\/4*k**g + 1\/4 = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - s**2)*(-s + 0*s - s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 1 + 10 = 0. Suppose 0 = t - 5, -2*z - m*t = z - 39. Let y(d) = -d**2 + 15*d - 42. What is the smallest common multiple of y(10) and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*i**2 + 17 - 13 + 9*i**2 to the form a + z*i**2 + b*i and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 10. Let d(c) = 3 - 1 + 4*c - y*c + 0. Let u(q) be the first derivative of q**2 + 2*q + 133. Give -3*d(n) + 2*u(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*l = 2*l - 40, 4*l + 20 = 0. Let h = t - 14. What is the second smallest value in h, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248294006.\nAnswer: 2, 3221, 38543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -107, -103, -99, -95?\n\"Answer: 4*r - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 9:36 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 18 = -3. Let g be -4*(w\/(-2) - -2). Suppose 0 = l, 2*h = g*l + 5 + 3. What is the greatest common divisor of h and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -d + 17, 2*d - 34 = 4*k - 9*k. Suppose -8 = -m + 4*v, -2*m - 4*v = -8*v - 8. Suppose 2*p - 3 - d = m. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -42*b**2 - 4*b. Let z(w) = 39*w**2. Give d(z(v)).\nAnswer: -63882*v**4 - 156*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 2:43 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 + 1.3. Let r = -0.09 + 0.09. Let h = 0 + r. Which is the third biggest value? (a) h (b) k (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*i - 11*i - 6*i - 10*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 18*g**2. Let b(x) = x**3 + 7*x**2 + x + 7. Let n be b(-7). Let z(i) be the second derivative of -i + 0 + n*i**3 + 0*i**2 + 1\/6*i**4. What is z(o(m))?\nAnswer: 648*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -11. Let w = 9 - y. Let r = 3 - 7. Which is the nearest to -0.1? (a) -2\/11 (b) r (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-1)\/(60\/48))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-5 + (-1)\/(-10)*46). Let 35*f + a*f**3 - 33*f**2 + 11*f**2 + 4*f**2 - 22*f**2 = 0. Calculate f.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93*m**3 + 165*m**3 - 258036 + 258032 to s*m**2 + w + t*m**3 + i*m and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/8355420?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 29289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 190683.6us to minutes.\nAnswer: 0.00317806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/10 + (-12 - -9). Solve -5*d - 18 + 18 = r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/((-4)\/4))\/(-2*1). What are the prime factors of 166*(-1)\/(g + -1)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1312990 and 525196?\nAnswer: 2625980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -932130 or -932063?\nAnswer: -932130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 411 and 30.\nAnswer: 4110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -32 + 8. What is the least common multiple of h and 26?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6*(-6)\/462*21?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/14866 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 5)*(0 + 0 - v + (0*v + 2*v - 5*v)*(2 - 3 + 2)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -54, -397, -1316, -3099, -6034, -10409, -16512, -24631?\n\"Answer: -48*i**3 - 7*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7505 - 7497 + 15018 - 18*f**4 + (0*f + 2*f**3 + 0*f)*(f - 1 + 1).\nAnswer: -16*f**4 + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -9b?\nAnswer: 9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*g**3*r**4 + g**3 - 2*g**2*r**4 - 2*g*r wrt r.\nAnswer: 192*g**3*r**2 - 24*g**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d = 41*d - 437 + 119 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2918 - -2966. Suppose -2*a + 24 = -2. What is the remainder when h is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23465191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1*sqrt(152)*-1 + sqrt(152)))\/(-6*sqrt(8)*-1*-3).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -8. Suppose h*c + c = 0. Solve -4 = 2*t - c for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 25*v**2 + v + 25. Let i be j(-25). Solve i = 5*g - 29 + 9 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 + 17*j**3 + 15*j**3 + 40 - 105 + 24.\nAnswer: 32*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.41 in -0.3, 5, 0.1, 2\/580577?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, -7, -3, 8 in decreasing order.\nAnswer: 8, -3, -7, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3354971, 6709948, 10064925, 13419902?\n\"Answer: 3354977*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -998 - 3?\nAnswer: -99b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((962\/(-182))\/(-37))\/((-8)\/28).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c - 2. Let s(f) = 5*f + 9. Let r(p) = -9*j(p) - 2*s(p). Let l(a) = -a**2 + a + 2. Let w be l(0). Let h(n) = -n + 2*n - w*n. Give h(r(v)).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -s - 78741, -2*s + 63016 = 4*r + 3*s. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 1184*p**2. Let w(m) = -4*m. Calculate z(w(c)).\nAnswer: 18944*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 368*y**4 + 20*y**3 - 2*y**2 - 43*y + 506 wrt y.\nAnswer: 8832*y + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 10:06 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/4 - 2238057*q\/2 - 2238054.\nAnswer: -3*(q + 2)*(q + 1492036)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 0*a**4 + 0*a + 0*a**3 + a**2 + 0 + 1\/30*a**5. Let w(l) be the first derivative of -2*l**3\/3 - 3. Calculate w(f(u)).\nAnswer: -8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6c773 (base 14) to base 12.\nAnswer: 109369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2\/52)\/((-34)\/1020) + 3\/3\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.21402 micrograms in grams?\nAnswer: 0.00007421402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144\/(-108)*750\/1000.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/421 (b) -0.05 (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -16 (c) -2 (d) -23\/185\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 1 (c) -10467 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 37, 44, 61, 94, 149, 232, 349, 506?\n\"Answer: l**3 - l**2 + 3*l + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u = -632 + 164. Calculate the greatest common factor of 18 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 7*z + 1. Let r be p(4). Let j = 1175 + -1166. What is the second derivative of 15*b**4 - r*b + j*b - 15*b**4 + 31*b**5 wrt b?\nAnswer: 620*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllqnqq. What is prob of picking 1 q and 1 n?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)*r*r\/(r*r\/(r*r**(-2\/19)*r*r))*r)\/(r**(-9))**(-6\/31) assuming r is positive.\nAnswer: r**(-2266\/589)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19711 is divided by 327.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9463877.191257 + -9463870. Let m = q - 7.67128. Let n = 0.48 + m. What is n rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**2. Let d(j) = -24*j - 354849. Calculate d(f(b)).\nAnswer: -72*b**2 - 354849","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -25311 - 352062484\nAnswer: -352087795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4240 is divided by 778.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60009129 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -19611.\nAnswer: 1\/19611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 7*v - 34 = 0, -3*v - 245 + 232 = -2*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g - 41 + 6. Let d(z) be the first derivative of -5*z**2\/2 - 2*z + 2. Calculate the remainder when d(-3) is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2587826, 5175687, 7763548?\n\"Answer: 2587861*v - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13976*j**3*r**3 - 9*j**3*r - 1550*r**2 wrt r?\nAnswer: -83856*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 117866 = -40*u + 45*u, -9*u + 212153 = -4*b. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*5\/(-60)*-8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/21 (b) -14.4 (c) 0.3 (d) -10.8 (e) -4\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/(-15))\/(6\/(-27)). Suppose 0 = a - 5*y + 34, -24 = u*a + y - 2. Let w(x) = -x - 14. What is w(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/19627 and -5\/3?\nAnswer: 58881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.134 rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/12 + 15\/36?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d - 3*t + 5 = -3*d, 3*d + 5*t - 1 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((0 + sqrt(5) + 4 - sqrt(50)\/(2*sqrt(10))) + (-1*(sqrt(5) - sqrt(20)\/sqrt(4)) - sqrt(55)\/sqrt(99)) + 2)*-5.\nAnswer: -120 - 10*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvcfncfjv. Give prob of picking 1 j and 2 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -238*a**4 + a**2 + 128 with respect to a.\nAnswer: -952*a**3 + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**5\/60 + p**4\/24 - 5*p**3\/6 - p**2. Suppose 4*l - 6 = 18. Suppose 2 = -2*q - l. Determine m(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4118*q + 4800*q - 27280 = 0 for q.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 6 - 4)*(-390*b - 386*b + 778*b - 153) to the form r*b + s and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013193341 rounded to five decimal places?\nAnswer: -0.01319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16873, -33742, -50615, -67492?\nAnswer: -84373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19\/5? (a) 2 (b) 29 (c) 53 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4*(0 + sqrt(162) + sqrt(162)*1) + 5).\nAnswer: -360*sqrt(2) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 5*d - 4180, -2533 = -3*a - d - d. Let p = 844 - a. Factor 0 + 1\/6*l**p - 2\/3*l - 1\/2*l**2.\nAnswer: l*(l - 4)*(l + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 33*m + 44. Let g(h) = -h**2 + 63*h - 89. Let f(l) = 11*a(l) + 6*g(l). Determine q, given that f(q) = 0.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 10:06 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1013026 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 + 165 = -13*s - 59 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 14, 29, 0.2, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 + c**2 + 1030 + c**2 - 508 - 522.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -5*u + 94 - 14, -5*u = 4*x - 70. Does 16 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 110\/13, -2\/57 in descending order.\nAnswer: 110\/13, -2\/57, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 106889129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2)\/r*r\/((r*r**(-4))\/r)*r*r**8*(r*r*r\/(r*r**(2\/9)))\/r assuming r is positive.\nAnswer: r**(106\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28\/21 - 196\/(-6). Suppose q + 26 = 2*j. What is the remainder when j is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 7*y**2 + y**2 + 4*y**2. Let s(i) = 2*i. Give s(o(n)).\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r + 1. Let m be x(-4). Suppose 2*h - 7 - 5 = 0. Let f = h + m. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*((-21)\/18 - -1). Which is the second smallest value? (a) 2 (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + g + 156 = -303, 0 = -y + 2*g + 228. Is y a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1028\/(-7) - 3*(-7)\/(-147). Is -149 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*y**3 - y**3 + 16*y**3)*(-5*y + 1 - y + 2*y) to the form h*y + q*y**3 + z + v*y**4 + d*y**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 701377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 439445.494 and 93?\nAnswer: 439352.494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 672 - 1390 - 53*l**2 + 520.\nAnswer: -53*l**2 - 198","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 - 3)*(-4 + 2 + 3)*(-2507*q + 414019 - 414019).\nAnswer: 15042*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) -0.03 (c) 4 (d) 7 (e) 14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 191924.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.473577 decades?\nAnswer: 0.2473577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 2*c - 4. Let x(d) = 14*d**2 - 8*d - 16. Let r(g) = -4*n(g) + x(g). Let o(y) = 5*y**2 + 5*y. Give r(o(j)).\nAnswer: 250*j**4 + 500*j**3 + 250*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81026 by 149.\nAnswer: 81026\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9186.925kg to nanograms.\nAnswer: 9186925000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.093, 0.4, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*i - 15*i + 21*i + 4*i in the form c*i + p and give c.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1) + 1 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(931)*1)**2 + 1.\nAnswer: 932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 16*z + 0)*(4*z**3 + 5*z**3 - 3*z**3).\nAnswer: -96*z**4 + 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -65 + (-16 - -27) + -9 + 8?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -229 (b) 19 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-165.2\nAnswer: -165.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2937017.\nAnswer: 503, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14415553?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**2 - 2*c - 1. Let l be h(-1). Suppose 28 = 4*q + 4*z, 2*q + l*z - 10 = 3*z. Is 78\/q + -3 + 1 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -5*d - 6, o + 12 = 2*d + 18 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*v + 6*v - 30. Let h(b) be the second derivative of -4*b**3 + 3*b**2 + 14*b. Let o be h(v). What is o rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -33 and 11379.\nAnswer: 11346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*sqrt(125) + 4 + -4)**2.\nAnswer: -80*sqrt(5) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 113021 - 10*l**2 - 112537 - 6*l + 23*l**2 wrt l.\nAnswer: 26*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xuu when three letters picked without replacement from vxvuhvvvnvhvvvhux.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 2 = -5*o + 24, -5*o = -q - 14 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5402.316 nanoseconds?\nAnswer: 0.000005402316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3 + 6*1*sqrt(243))**2 + -4*sqrt(108)*-2*-2.\nAnswer: 228*sqrt(3) + 8759","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0)**(-22))**38 assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1142*x**2*y**2 - 3*x**2*y - 13*x + y**2 + 6*y - 3 wrt x?\nAnswer: -2284*y**2 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q**4\/6 - 7061*q**3\/6 - 92518*q**2\/3 + 314152*q\/3 + 149408 = 0 for q.\nAnswer: -28, -12\/11, 4, 667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 382*r = 405*r - 306176000. Round r to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*w - 7*w**5 + 31*w**2 - 13*w**3 + 14*w**3 - 30*w wrt w?\nAnswer: -420*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29924692?\nAnswer: 2, 7, 17, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/48*-7)\/((-462)\/33).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50250 (base 6) in base 14?\nAnswer: 2582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -8*l. Let y(f) = 56*f - 1. Give y(q(m)).\nAnswer: -448*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**17\/b)\/(b\/b**6)*(b\/(b\/b**(6\/5)))**(-17\/4) assuming b is positive.\nAnswer: b**(169\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m - 26*m = 39. Do 5\/32 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -45*a - 7. Let t(n) = -4*n**2 + 44*n + 25 - 47*n - 9*n**2 + n**3. Let f be t(13). Is z(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 11. Let n = -37245 - -37257. What is the remainder when n is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence izj when three letters picked without replacement from {i: 1, z: 2, j: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 602*p + 11927 - 770 = 30528 + 28789 for p.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, y: 4}. What is prob of sequence yu?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(52) + sqrt(13)*1*1)**2.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1564?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 56\/(-21)*2\/(24\/(-9)). Let w(k) = 8*k**2 + k - 4. What is the lowest common multiple of 25 and w(u)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -173.\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -392562 divided by 24\nAnswer: -65427\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -15768 divided by 54\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c. Let g(i) = -554*i - 2. Give g(b(s)).\nAnswer: -554*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.4 + -12.87. Let z = 0.87 + p. Let t = z + 0.12. Round t to 1 decimal place.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*n + 12, 0 = n - 250*o + 249*o - 4. Let s = 0.1 + 0.1. Let r = -38 + 341\/9. Which is the nearest to 0? (a) r (b) n (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 8 = 2*n - 3*s, 3*n = -s + 12. Suppose -2*h = 2*i - 0*i + n, 4*h - 13 = 3*i. Let a = 0 - 0. Which is bigger: a or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o + 33*o - 9110 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -0.1 (c) -723 (d) -2\/13 (e) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in nine tenths of a century?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 6*w**2 - 4. Let k = 37 + -43. What is y(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/2 in 4, 3, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11000, -11019, -11028, -11021, -10992, -10935, -10844?\nAnswer: -10713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 100.2?\nAnswer: -100.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a**4 - 22112*a**3 + 1742206*a**2 - 35232288*a + 33512193 = 0. What is a?\nAnswer: 1, 39, 22033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t - 3. Let m be k(-6). Suppose 3*n = m*n - 2112. What is the greatest common factor of n and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m - 7*m - 4*j - 55 = 0, 33*j - 19*j = 3*m + 85 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5746 - 5750. Let d(b) = b**3 + 3*b**2 + 7*b + 50. Give d(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((-72)\/27) + (-45157)\/4. What is n rounded to the nearest one hundred?\nAnswer: -11300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2442\/(-2727) + 14\/63. Let p = c + 2\/303. Let f = -0.01 - -0.31. Put 5, p, f in ascending order.\nAnswer: p, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 + -0.1. Let z = x - 0.6. What is z rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 46440?\nAnswer: -46440.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*w + 212*w - 298*w - 211*w.\nAnswer: -514*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63*s**4 - 217 wrt s.\nAnswer: -252*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-180)\/72*(1 + -13). Calculate the greatest common factor of 135 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-3 + 0 - 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -3, 1, -14, 0, -17 in increasing order.\nAnswer: -17, -14, -4, -3, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000525765 rounded to 7 dps?\nAnswer: -0.0000526","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3868971485.\nAnswer: 5, 10957, 70621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 + 0.8. Let y = 36 + -33. What is the third biggest value in 5, q, y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 5*p + 10. Let v be 5 + (-328)\/64 + (-114)\/(-16). Determine i(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92182231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78776 is divided by 8743.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 579 + -574. Solve 5*b = 5*t + 30, 4*t + t - 10 = -v*b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.4 and -5?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*v - 33 = 0. Let z = -13 - v. Let n(b) = -b**3 - b**2 - 3*b - 2. Determine n(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*k. Suppose k*m + 2*m + 2 = 0. Let l(w) = 48*w**2 - w. Is l(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 0, -2, 2, 6, 7 in decreasing order.\nAnswer: 25, 7, 6, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2970\/(-264)*(64\/(-12))\/(-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 - (17 + -11 + -58397).\nAnswer: 2, 11, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1210 + 103014?\nAnswer: 101304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -11*i**7\/210 + i**3 - 5*i**2. Find the first derivative of a(q) wrt q.\nAnswer: -44*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3753913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + -3. Let l(n) = 11*n - 5. Let c(h) = -6*h + 3. Let r(m) = u*c(m) - 3*l(m). Let q(k) = 5*k**2 + 2*k**2 - 4*k**2. Determine q(r(a)).\nAnswer: 27*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 741 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-5))\/(6\/(-120)). Suppose 5*m - 31 = -h. Suppose 4*r - 37600020 = -4*j, 5*r + 0*j - m*j = 46999985. Round r to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35712671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z**4 - z**3 + z**2 - 31. Let j(l) = l**4 + l**3 - l**2. Let b(y) = j(y) + q(y). Differentiate b(c) wrt c.\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1422 a factor of 11850948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33246 or -32642?\nAnswer: -33246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1828840.\nAnswer: 2, 5, 13, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3726 + 2*x**2 + 1175 + 1185 + 1179 + 187.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 10101?\nAnswer: -10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 204 and 152.\nAnswer: 7752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-24)*8\/120\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z - 4. Let m(s) = s - 1. Let n(d) = d**3 + 6*d**2 - 9*d - 10. Let a be n(-7). Let w(k) = a*m(k) - l(k). Is 4 a factor of w(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 7*b**4\/4 - 2*b**3\/3 + 7*b**2\/2 - 5*b + 3. Is g(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-3)\/r*r**11)**(1\/2))**(-4\/29))**(-12\/7) assuming r is positive.\nAnswer: r**(24\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21202220121120 + -12?\nAnswer: 21202220121101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lll. What is prob of sequence lll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3 + 12. What is the smallest common multiple of -8*(3 - 28\/7) and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 9 - 37 = 0. Let w = l - 4. Suppose -5*f = -w*f + 220. Round f to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -3. Let b = s + 4.00000006. Round b to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 - h + h)*(-8 - 2*h + 3*h**3 + 8).\nAnswer: -12*h**5 + 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -27*u**2. Let z(l) = l**3 - 9*l**2 + 16*l - 17. Let g be z(9). Let s(h) = 66*h - g*h + 66*h. What is m(s(r))?\nAnswer: -675*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 - -30. Suppose -2*q = -n + 10 + 2, 4*n - 4 = -3*q. Sort -1, -0.2, w, q in descending order.\nAnswer: w, -0.2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 9:12 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2398240 divided by 5.\nAnswer: -479648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five eighths of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + (sqrt(2736) + 6*(sqrt(2736) + -2))**2) - (3 + sqrt(2736) + -3 - (-1*(sqrt(2736) + 3 - sqrt(2736)) - sqrt(2736))).\nAnswer: -134208 + 1992*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 372.9 - 373. Which is the nearest to -0.29? (a) f (b) 1 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49\/72 + 11\/36. Is -1 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 q, and 1 p when four letters picked without replacement from qpzzppppzqpqn?\nAnswer: 54\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 655 is divided by 107?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*r + 1388, v = r + 2*r - 1387. List the prime factors of r.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42021)\/(-2436)*(4\/(-6))\/(3\/18).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -2*h**3\/3 + 5*h**2\/2 + 6*h - 2. Let o be s(-4). Let g = o + 88. Calculate the remainder when g is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/9*3*2\/(-35). What is the nearest to 0.2 in y, 0.6, 2\/13, 24?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/12)\/(1\/(-6)). Solve 5*q = 5, -3*d - g*q = -6*q + 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -3*u**2\/2 + 1. Let d(z) = -3*z + 3. Let l(v) = -5 + 10 + 3 - 9*v. Let a(j) = -8*d(j) + 3*l(j). What is b(a(r))?\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -4*t**3\/3 - 5*t**2\/2 + 4*t + 3. Let g be a(3). What is the units digit of (-8)\/12 + g\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 661227?\nAnswer: 3, 7, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4560, -9121, -13682, -18243?\n\"Answer: -4561*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57 - -91) + 44 - 44?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 53 = -31. Suppose -5*r + 2*g = -5785, -5*r - g = -r - 4615. What is the tens digit of r\/x + (-3)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 15 = -2*w + 6*w, 0 = -4*w - 2*i + 30. Let d be ((-8)\/6)\/(w\/(-9)). Find the third derivative of a**d + 2*a**3 + 2 - 2 wrt a.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54699 is divided by 51.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123, 299, 567, 963, 1523?\nAnswer: 2283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 8*f**2 + 12*f + 7. Let w(m) = -7*m**2 - 10*m - 9. Calculate -5*d(p) - 6*w(p).\nAnswer: 2*p**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l*q*t**2 + 34672*l*q - 57*l*t**2 - l + 16*q*t**2 wrt t.\nAnswer: 4*l*q*t - 114*l*t + 32*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -5 - 5. Let t(u) = -3*u**2 - 4*u**2 + 3*u**q. Let j(m) = 5*m**2 + 4. Let z(v) = -4*v**2 - 3. Let r(g) = -3*j(g) - 4*z(g). Calculate r(t(s)).\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, k: 1, j: 1, p: 2, o: 7}. Give prob of sequence kvp.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w + 22. What is the lowest common multiple of 48 and r(-1)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0147 - -1.2147. What is the second smallest value in -2\/41, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 260 - 264. Suppose a - 3*g = 14 - 5, 6 = -2*g. Suppose -38*u - 59*u - 291 = 0. Sort a, 5, u, p in increasing order.\nAnswer: p, u, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*i + q - 0, -4 = -3*i - 2*q. Let s be -1 - (-1 + i + -2). Let r be 2\/s - 4 - -5. Solve -r*g = -0*g - 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 394 + h**3 + 20*h - 436 + 3*h**2 - 19*h**2. Calculate the remainder when 223 is divided by l(15).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/10)\/((-1026)\/(-1140)))\/(504\/18)?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1026137\/28600 + 4731\/143. Let k = z - 21\/200. Calculate the common denominator of 36\/8 - (0 + -1) and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 291757 (base 12) to base 8.\nAnswer: 2475763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111 = 41*t - 156 - 324 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 39\/(-42) + 1\/2. Let m = 102 - 60. Let p = -40 + m. What is the closest to p in 1\/4, y, -0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 685, 8, -3, 2, -2, -16, -9 in decreasing order.\nAnswer: 685, 8, 2, -2, -3, -9, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (190 - 10\/(-2)) + 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 30 + 164 = 2*d, -5*d - 25 = 0. Does 28 divide 17\/(u\/(-1296)) - 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-276)\/506*2079\/54?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**5\/15 - 23*m**2. Let c(a) = -14*a**2. Determine c(j(o)).\nAnswer: -224*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2886*t - 3 + 20*t**2 + 0 - 17*t**2 + 2 + 843*t to u + c*t + i*t**2 and give c.\nAnswer: -2043","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*(n*n**(-1\/6))\/n*n))**(-18)\/(n\/(n\/(n**(6\/13)\/n)))**4 assuming n is positive.\nAnswer: n**(223\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, 3, 2\/107, -1, -4?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t\/((t\/(t\/((t\/(t**(-4)\/t*t))\/t)))\/t))\/t))\/t)**(2\/49) assuming t is positive.\nAnswer: t**(4\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 16 = -b. Let u = b + -6. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -48*s - 874. What is b(-20)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-82 + 82 + u)*(2*u**2 - 2*u**2 - 7*u**2).\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91 - 90.89. Let m = i + 16.79. What is m rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.4 - 0.4. Let d be (-5)\/9 - 4968\/(-10692). Which is the closest to -2? (a) d (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 1759 + 2486. Suppose 2*r - 7*r = -z. List the prime factors of r.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -43052 and -43051 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21098 + 13939. Let p be ((-19)\/(-12255))\/(28\/l). Let a = 24\/301 + p. Calculate the common denominator of -41\/3 and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 642 (base 7) to base 11\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7193236 centuries in months?\nAnswer: 863.18832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-15) + (-26)\/(-6). Suppose -2*k = -j*i, -k + 0*i = 4*i - 13. Suppose -5*m + 58 = -k*r + 3, 3*m = r + 29. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 3*c**2 - 5*c - 3. Let k be l(-2). Let x be (-2)\/8*k*84. What is the tens digit of (x\/12)\/(9\/(-120))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -49*r**3 - r**2. Let q be b(-1). Let n(c) = -104 + q + 66 + c. Give n(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 4*r - 8. Let d be v(-6). Suppose -7*o + d*o = -5*m + 7, 4*m - 3*o = 8. Sort 14, 1, m in descending order.\nAnswer: 14, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12814429?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 31720\nAnswer: 1\/7930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - 0.3. Let d = -0.2 - p. Suppose 14*l = 15*l - 3. Which is the closest to 1\/3? (a) -5 (b) l (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3267714482*s**2\/21 + 161684*s + 42.\nAnswer: 2*(40421*s + 21)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4918 divided by 3\nAnswer: -4918\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 401 + -212. What is the greatest common divisor of w and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -17*p**7\/210 + 9*p**3\/2 - 25*p**2. What is the first derivative of c(f) wrt f?\nAnswer: -68*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 226 - 347*s + 399*s + 251*s + 207 + 397*s wrt s?\nAnswer: 700","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + g + 332. Calculate t(-18).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 14. Let j be (-2)\/(-1)*3\/w. What is the nearest to 1\/3 in -2, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czczczcczczcz. What is prob of picking 2 c?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 22*v - 20*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -148 + 147*j**3 + 108 - 26*j**2 + 14*j**2 + 6*j**2 wrt j.\nAnswer: 882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 5:47 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18667462\/255885 + -2\/12185. Let u = y - 73. Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f**3 + 3455 + 5*f - 3453 - 3*f**3 + 207*f**2 + 3*f**3 in the form y*f**2 + x + w*f**3 + z*f and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -6*z + 2*z. Let m(h) = -h**2 + 6*h - 3. Let w be m(4). Calculate the highest common factor of z and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 354*g**2 + 4*g + 5. Let s be c(-2). What is the highest common divisor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110074362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34114 rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 93.8 - 93.7998395. What is n rounded to 6 decimal places?\nAnswer: 0.000161","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*l + 1120. Suppose -3*x + 3*v = -1401, -4*x + v + 1644 = -l. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 530 + -426. Is a a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -7*z**2 + 42*z + 30. Let a(n) = 19*n**2 - 125*n - 80. Let y(w) = -3*a(w) - 8*g(w). Factor y(v).\nAnswer: -v*(v - 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15660, 31321, 46982, 62643, 78304?\nAnswer: 93965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 124 - 120. What is the second derivative of u - 3*u**3 - 15*u**j - 12*u**4 + 24*u + 10*u**4 wrt u?\nAnswer: -204*u**2 - 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 60*n**3 + 18*n. Let f(y) = -17*y**3 - 5*y. Suppose -3*v + 2 - 11 = 0, -2*v = -4*g + 26. What is g*u(c) + 18*f(c)?\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: a97942 (base 11) to base 13\nAnswer: 494a26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 82, 122, 164, 208?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/14)*w*w*w**22)\/((w*w**(-3\/4)*w)\/(w*w*w**(17\/5))) assuming w is positive.\nAnswer: w**(3971\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(256) - 2*sqrt(256)).\nAnswer: -sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21.073 and 0.15.\nAnswer: 3.16095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppbppbppppb. Give prob of sequence bbb.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 608337918 rounded to the nearest one million?\nAnswer: 608000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -7. Suppose 2*j - q*n + 6 = 0, 3*n + 3 = -j + 11. Solve j*h + 2 = -2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6672, 11875, 17086, 22311, 27556, 32827?\n\"Answer: w**3 - 2*w**2 + 5202*w + 1471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7797027 divided by -3?\nAnswer: -2599009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (4 - ((3 - 2) + 4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 11:34 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 9*a - 2144184 = -13*a, 0 = d + 3*a - 536036. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000601982884 to seven decimal places.\nAnswer: -0.000602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s - 3*s + s)*(s + 4*s - 4*s + (1 - 4 + 2)*(55*s + 11 - 11)) to the form b*s**2 + f*s + m and give b.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g**3 - 2*g**2 - 6*g - 10. Let s be p(-2). Let b(m) = 33 - 4*m + m**3 - 94 + s + 34 - m**2. Let n(i) = -i + 8. Let z be n(5). What is b(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (369*d**3 - 178*d**3 - 182*d**3)*(-d + 4*d - 2*d) in the form b*d**4 + l*d**3 + i + j*d**2 + a*d and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -15*z + 167. Let r be w(-8). Let c be (-435)\/(-18) + r\/42 + -7. Which is bigger: 22 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o**2 - 10*o + 92. Calculate the least common multiple of w(-6) and 65.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 20*c**3 + 15*c**3 - 34*c**3 + 3 + 5*c**2. Let s(k) = 17*k - 67. Calculate the lowest common multiple of h(-4) and s(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -15*d**4\/14 - 169*d**3\/7 + 51*d**2\/14 + 60. Factor s(v).\nAnswer: -3*v*(v + 17)*(10*v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*s = 4. Let f(v) be the first derivative of -v**5\/120 - v**4\/12 + 2*v**3\/3 + 1. Let k(a) be the third derivative of f(a). What is k(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s + 20 = -10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -8. Solve -2*t - 2*m - 8 = 0, -2*t - m - 8 = -j*m for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1668 and 30933894.\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -443265 (base 12) to base 4.\nAnswer: -10020212231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/(-143)*13*(-25)\/4?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1191 or 1?\nAnswer: -1\/1191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2563 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, a: 2, z: 1, h: 1}. What is prob of picking 2 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**0*x*x*x**(-5\/2))\/(x\/((x**(-4\/3)*x*x)\/x)*x*x\/((x\/x**(-2)*x)\/x))*((x**2\/x)\/x**(-1\/4))\/(x**(2\/7)\/((x**(-2\/3)*x)\/x)) assuming x is positive.\nAnswer: x**(13\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -31368*2\nAnswer: -62736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9578 + -9578. Solve p - 54*k + 58*k = -9, l = -p - k - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001815104 rounded to seven decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (31\/20)\/(51\/68). Is 1 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + -3 - (-12 + -10 + 19)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -526*z - 590 - 771 - 1023 = 772 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -786 + 7?\nAnswer: -779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 + h + 18. Let t be w(0). Calculate the highest common factor of t and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5041, -6004, -7003, -8050, -9157, -10336?\nAnswer: -11599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*s + 2*i - 24 = -75*s, 0 = 3*s + 2*i - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/41 in 3, -0.1, 1, 104?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**6\/16 - 99*r**5\/20 + 657*r**4\/8 + 865*r**3 + 2808*r**2 + 3888*r + 1349. Suppose n(w) = 0. What is w?\nAnswer: -2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(84) + sqrt(105)\/(2*sqrt(5)))\/(sqrt(243) + -2*sqrt(243) - -6*sqrt(12)\/sqrt(4)))**2.\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 23 - 63. Let g be (-18)\/p - (-1)\/(-4). Suppose -g*s - 1400000 = -6*s. Round s to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 0.4 (c) -5 (d) -3 (e) 12\/235\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 8. Suppose 0 = 4*w - t + 7, -5*t + 0 + 1 = -3*w. Let i be w\/(-10) + 5\/(-50)*-58. Calculate m(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -13*z**3 - 8*z**2 - 16*z - 35. What is the units digit of l(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -199\/5 - -79\/2. Sort -2\/7, -0.1, h in decreasing order.\nAnswer: -0.1, -2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + t + 3*a - 289, -4*a + 51 = t. Let r = -49 + t. Let b(d) = d**2 - 13*d + 28. Let j be b(r). What is the closest to j in -4\/3, 0.2, 5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11872251 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 239447909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16446993 is divided by 16446952?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**5\/3 + 143*c**4 - 20602*c**3\/3 - 213554*c**2 + 25502699*c\/3 + 182773203 = 0.\nAnswer: -23, 53, 369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -1. Let q = 2.2 - t. Let x = -5 + 4.9. What is the third biggest value in x, q, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -h + 4*h + 40 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 220 and 38995?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -4*f - 4*z, 9*z = 5*f + 8*z - 81. What is the highest common divisor of 240 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g. Let x(r) = 63 - 95 + 32 - 4*r**2 + 10*r**2. Calculate h(x(d)).\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -58539.2 - -425\nAnswer: -58114.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 2, 165, -5 in descending order.\nAnswer: 165, 2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q**2. Let a be -4*1\/((-2)\/1). Let x(k) = 3*k**2 - 3*k**2 + 3*k**a - 4*k**2. Determine x(i(r)).\nAnswer: -16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7851 is divided by 7843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 90 = -14*n. Let s be 681\/n - (-12)\/(-18). Calculate the greatest common divisor of s and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 722658.7 plus -46950.537?\nAnswer: 675708.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + 23 - 13) + 1 + -7 - 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*2*15\/100\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4246 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 9262.461388 to one dp.\nAnswer: 9262.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4500 - s + 2290 + 2552.\nAnswer: -s + 342","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577340211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b + 9. Let s(v) = v - 1. Let p(a) = -g(a) - 2*s(a). Let i be p(7). Suppose -5*r + 2*c + 94 + 11 = 0, -3*r + 5*c + 82 = i. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/9 + (-66)\/54. Let d be 0 + u + (-1 - -24). What is the highest common divisor of 154 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 30 = -5. Suppose 0*z = -4*z - 4. Let m(p) = p**2 + 8*p - 5. Let g be m(-8). Put a, z, g in decreasing order.\nAnswer: a, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 689267 to the nearest integer?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.6 + -2.9. Let h = y + -0.5. Let l = h - -11.1. What is l rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1708*u - 15128 = -1220*u for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -31*s. Let o(z) = -6372*z**2 + 22*z + 2. What is o(r(x))?\nAnswer: -6123492*x**2 - 682*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -136087, -271987, -407885, -543781?\n\"Answer: m**2 - 135903*m - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 18*a**3 + 6 - 43 - 11*a**3 - 6*a**3. Let t be p(0). Let b = t + 41. Calculate the smallest common multiple of 16 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1707840 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2778736 - 2778736 - 15326*r as k*r + u and give k.\nAnswer: -15326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7916 + 14383. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/3415 and -86\/15.\nAnswer: 10245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/10)\/((21\/(-6))\/(-1))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52119 is divided by 3945.\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + (sqrt(76) - ((-1*sqrt(76) - sqrt(76) - sqrt(76)) + -4)) + sqrt(76))**2 - 4*(sqrt(19) - (sqrt(19) - (sqrt(931) + 1)**2))) + 2.\nAnswer: -974 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 5 + 8974*x**2 - 8896*x**2 - 12 to l*x + y + n*x**2 and give n.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 d when four letters picked without replacement from xxdxxxxddxxxxxxx.\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most as big as 7301\/4267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + ((-2)\/36)\/((-38)\/76*9\/738).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5103 and 49.\nAnswer: 35721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/12 + 1960\/32?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31573 - 6673. Suppose 871611 = t - u. Let z = t + 293489. What is z rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - d - 1)*(47*d - 276 + 276).\nAnswer: -47*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/136)\/(5\/15)*60?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/sqrt(27))\/(sqrt(4) - sqrt(324)\/sqrt(9)).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 6*i + 7. Suppose 5*o = 2*s + 25, -2*s + 8*o - 14 - 20 = 0. Determine a(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -900 = -6*a - 4*a. Let b = 135 - a. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**4\/3 - 28*c**3 + 470*c**2\/3 = 0 for c.\nAnswer: -47, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -2\/27*z**3 - 3*z + 0 - 1\/9*z**2 - 1\/54*z**4. What is v in g(v) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, z: 7, h: 3}. Give prob of picking 2 l.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, -92, -89, -84, -77?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2019 - -398. Let p = -1603 - c. Factor -2\/5*f**5 - p*f**3 - 108\/5*f + 0 - 22\/5*f**4 - 162\/5*f**2.\nAnswer: -2*f*(f + 2)*(f + 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 3*d + 72. What is the least common multiple of d and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7113, 14090, 21041, 27966?\nAnswer: 34865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2211 divide 332401740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/1386 and -179\/1770.\nAnswer: 408870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1692*l + 3512 = 1253*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 201*i**3*o - 141*i**3 - i**2*o + 25*i*o + 4*i + 4 wrt o?\nAnswer: 201*i**3 - i**2 + 25*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2031179910 to the power of 1\/4, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-6 - -5 - (9 - 5)) + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13808*k*l**3 - 1658286*k - 69*l**3 - 3 wrt l.\nAnswer: -41424*k*l**2 - 207*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 1)*(1 - 4 - 1)*(-1 + 0 - 7)*(2 - 3*u - 2) to o*u + y and give o.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 20*m**2 + 3*m + 21. Is q(20) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = 86*u + 633 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -38, -55, -90, -149, -238?\n\"Answer: -q**3 - 3*q**2 - q - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/7))**(-25\/6)*b**(-5\/4)*b**(-4\/7)*b\/(b\/(b*b\/(b\/(b\/(b*(b*b**(-3\/10))\/b)))*b))*(b*b**(-1\/9))\/b*b*b\/b**1*b*b\/b**(-5\/3) assuming b is positive.\nAnswer: b**(7843\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 2*b**2 + 5*b. Let j(u) = -16*u**3 + 25*u**2 + 86*u + 42. Let h(i) = j(i) - 15*t(i). What is h(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m**3 - 7*m**2 - 17*m + 32. Let j(f) = f**3 - 2*f**2 - 4*f + 8. Let b(r) = 6*g(r) - 22*j(r). What is the units digit of b(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.09 - -11.09. Let j = w - 10.5. Is -1 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-46) - 7720\/(-92) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 10. What is t(12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -7285*l + 517235. What is a(71)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1891 * 0.2.\nAnswer: 0.23782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-114 - -2)*29\/(-2). What are the prime factors of (s\/35)\/(4\/10)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbiiibxbibiii. What is prob of sequence bi?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310857 is divided by 729?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 5*h + 2*i + 45, -4*i = -h - 44. Let m be (-3)\/h*2*4. Solve 11 = -2*n + m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1412)\/12*-3 - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 + 28*s - 28. Let b be i(13). Is (b - 40\/(-22)) + (-56742)\/(-22) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 189629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -15 - 5. Let u be g\/(1 + -3*1). Suppose 54 = u*x + x. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 379011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q + 26. Calculate d(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26963 is divided by 82?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, x: 2, m: 4, j: 1, s: 2, c: 8}. Give prob of picking 1 y, 1 j, 1 s, and 1 c.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-418)\/(-57))\/22)\/(23\/(-12)). What is the third smallest value in 0, v, 9\/2?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -133125.8.\nAnswer: -133127.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 4104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*b + 19*b - 23*b = -2987 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 5*n**2 + 2*n + 4. Let v be r(-3). Let h be (188\/v)\/((-1)\/4). Let i = 67 + h. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1175, 5671, 16807, 37901, 72271?\n\"Answer: 553*w**3 + 2*w**2 + 619*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -9*h**3 - h**2 + 15*h + 3. Suppose 5*p + 4 = 4*p, -3*p + 2 = -2*d. Let s(q) = 4*q**3 - 7*q - 1. Let x(g) = d*s(g) - 3*k(g). Calculate x(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*x**3 - 8*x**3 - 20*x**3 + 67*x**3 - 17*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -8*f + 76. Let z be w(9). Let y = 0 + -1. Sort y, 2, z.\nAnswer: y, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2022120121 (base 3) in base 16?\nAnswer: -b233","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 3:11 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-57)\/2166*39\/65*(-40)\/(-12)\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 2*h**4 + h**3\/2 + h**2\/2 - 6*h. Suppose 5*g - 5 = 3*o, 26 = -2*g - g - 4*o. Is y(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - -5. Let p = 37 - z. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of 0 + 0*v**3 + 0*v**4 + 24*v**2 - 1\/30*v**5 + 0*v. Let t(o) = -20*o. Give h(t(y)).\nAnswer: -800*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4276234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2555 + -2547. Let b(v) be the first derivative of v**3\/3 - 9*v**2\/2 + 6*v + 1. What is b(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 7951*t**3 - 4*t**2 - 22*t + 39. Is o(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**5\/50 + 16*i**4\/5 + 768*i**3\/5 + 24*i. Determine b, given that r(b) = 0.\nAnswer: -48, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f + 4 - 15 + 3*f - 9 wrt f.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 3*k - 1. Let c(o) = o**2 - 4*o - 2. Suppose -5*w - n = -5 - 17, 0 = w + 2*n - 8. Let l be c(w). Is 8 a factor of q(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wtwttzw. Give prob of picking 1 t and 3 w.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7664 - -38323\/5. Factor 0 - 3\/5*d**3 + z*d + 0*d**2.\nAnswer: -3*d*(d - 1)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -25, 3.\nAnswer: -25, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 60.59037l?\nAnswer: 60590.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 162 and 14438466.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -11353?\nAnswer: -5\/11353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 108089190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -278.4 + 278.8. Which is the closest to -5? (a) -5 (b) j (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 6. Suppose z*u = -u + 11. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 10 = 2*n. Let s(a) = -2*a - 4*a + 0*a - 3*a**2 + 2*a**2 - 4. Let h be s(-4). Solve 2 + h = n*m + 2*x, 5*m = 5*x - 15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from {m: 5, c: 1, k: 5}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*p - 24 = 0. Let c(y) = -y**2 - 8*y + 2. Let z be c(p). Suppose -4*l + 4*t - 1 = -29, 5 = -l - z*t. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(325) + 4 + (-4 + (sqrt(1053) - -1*sqrt(1053)) + sqrt(1053) - sqrt(1053)))**2.\nAnswer: 138*sqrt(13) + 6886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 118, 207, 308, 415?\nAnswer: 522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5*o - 9. Let b be g(-3). Let x(i) = i**3 - 6*i**2. Let h be x(b). Let q(a) = h - 242*a + 238*a + 0. Let t(s) = 2*s. Determine t(q(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68 - 63. Find the third derivative of 95*y**3 - 2*y**2 - 26*y**2 + f*y**2 - 2*y**2 wrt y.\nAnswer: 570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = s + o - 2*o, -2*s = o - 13. Suppose -2*i - p = -105, 3*p = s*i - 182 - 64. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 5. Suppose -l*n + 26 = -91. Calculate the highest common divisor of 72 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58408.2088 rounded to the nearest one thousand?\nAnswer: -58000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 8) to base 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/1202 and 37\/479624.\nAnswer: 288254024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + d**2 + d**2 - 5*d**2. Let y be c(-2). Let n = 3 - y. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 73.99999 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**3 - 199520*b**2 - 1987415345*b + 59802163350 = 0. Calculate b.\nAnswer: -19967, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 times -9151?\nAnswer: -841892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 580936 + -8710033\/15. Let h = 267 - t. Let q = -3.3 - -0.3. Which is the smallest value? (a) -4 (b) q (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/30215 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -41. Suppose x*l - 28 = l. Let a(h) = -h**2 + 7*h - 4. What is a(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 3*x**2 - 87*x + 9. Let h(k) = -k**3 + 35*k**2 - 30*k - 147. Let v be h(34). Determine j(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 times 22.539\nAnswer: 653.631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*r + 12 = 184*r. Let n(g) = -10*g**2 - 2 - 3*g - 6 - 2*g + 11*g**2. Let w be n(6). Sort r, w, 1.\nAnswer: r, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 923 and 426.\nAnswer: 5538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 1.312, 0.05, -0.1, -1, -4\/7, 2.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**6\/960 - l**5\/480 + 6*l**2. Factor d(f).\nAnswer: -f**2*(f + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 75, 1, -8, -51, 12 in decreasing order.\nAnswer: 75, 12, 1, -1, -8, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a gram in milligrams?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t*t**1\/t*t)\/t*t*t)**(-16)\/(t**(-1))**41 assuming t is positive.\nAnswer: t**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -71?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 6:20 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2+-0.09031169\nAnswer: -2.09031169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*x*x\/(x*x**(2\/7)))\/x)\/x**(-2)*(x\/x**(-5))\/x**(2\/13)*(x**(-2)\/x**1)\/(x**0\/x)**(9\/8) assuming x is positive.\nAnswer: x**(5595\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39223 = 112*x + 6295. What is the highest common divisor of 3108 and x?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a day in minutes?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 3*b + 4*l - 29 = 0, 4*l - 7 = -b. Calculate the least common multiple of 14 and b.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1237, 119, -1013, -2165, -3343, -4553, -5801?\n\"Answer: -s**3 - s**2 - 1108*s + 2347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1474555 at most -11796451\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -31*a**2 - 1753*a - 8788. Determine h(-5).\nAnswer: -798","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, -0.2, 0.246, -1, 0.06?\nAnswer: 0.246","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y**2 + 57301*y + 5. Give j(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -45863.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w**4\/2 + 122971*w**3\/2 - 702897*w**2\/2 + 404189*w\/2 + 87865 = 0. Calculate w.\nAnswer: -17573, -2\/7, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q + 2. Let k(t) = -656 - 665 + 1324 - t. Give 3*k(l) - 4*r(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -114716752 rounded to the nearest 1000000?\nAnswer: -115000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 i when three letters picked without replacement from iaaccagiawc?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + u - 20. Let k be (26\/10 - 3)\/(1\/(-285)). Suppose 5*g = -49 + k. Put u, 5, g in decreasing order.\nAnswer: g, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 877721, 1755777, 2633829, 3511877, 4389921, 5267961?\n\"Answer: -2*j**2 + 878062*j - 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6330.7 millennia?\nAnswer: 6330700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0*h + 5*a = -1609, -2*h + 2*a = -802. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) - (sqrt(2448) - (-2 + sqrt(2448) + 1))) + -6*(sqrt(2448) - -1*sqrt(2448)) - (sqrt(2448)*-2*1 + (sqrt(2448) + 1)*4))**2 + 1.\nAnswer: 1560*sqrt(17) + 413738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*h + h + 4*h + (365 - 365 - 19*h)*(-2 + 0 + 5).\nAnswer: -58*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -195355404 rounded to the nearest 1000000?\nAnswer: -195000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 5:36 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5142546 (base 7) to base 2\nAnswer: 10010110010011000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3903 - -0.4903. What is the third smallest value in 0.5, -4, -2\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (28 - (0 + (-11 - -25))) - -9\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 12 = 2*a. Let g be a\/14 + (-124)\/(-28). Suppose g*c - 3*b = 71, -2*c = b - 4*b - 31. Calculate the remainder when 37 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + (sqrt(156) + 1*sqrt(156))*4 + -2*3*sqrt(156))\/(-4*(sqrt(768) - -4*((sqrt(768)*1 - sqrt(768)) + sqrt(768) - sqrt(768)))))**2.\nAnswer: 117\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-327*f + 3 - 51*f + 2 - 5)*(15*f**2 + 58 - 58).\nAnswer: -5670*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-338)\/4732)\/(4\/(-42))*-14?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fb when two letters picked without replacement from dbbfbbgbf?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 110*b - 1343. Determine m(13).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -784\/153 + 140\/17. Let p = -232\/63 + o. Let f(k) = k**3 - 4*k**2 + 4*k - 1. Let l be f(3). Which is the closest to -1\/4? (a) -5 (b) p (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**3 - 51*m**2 + 149*m + 48. Give r(-28).\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 9 = -k + 8*m, -3*m = -5*k + 6. Suppose -3*n + 66 = 2*g, 2*n - 39 = n + 5*g. Let d = n + 3. Calculate the highest common divisor of d and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -52*k + 51*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 10 = -3*i, 3*i - 4*p + 8 = -0*p for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 0*b**4 - 3 + 0*b**2 + 0*b**3 + 0*b + 1\/5*b**5. Factor x(q).\nAnswer: q**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -3.96. Which is the nearest to 0.1? (a) h (b) 1\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*n**6 - 13*n**2 + 3*n**2 - 4 + 0 - 12*n**5 wrt n?\nAnswer: -240*n**3 - 720*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - u**2 - 3*u - 7. Let j be l(3). Let z(f) = 11*f + 2. What is z(j)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/16626 and -67\/4238?\nAnswer: 216138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 6) to base 16.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -0*g - g. Suppose -3*d + g = 3*a, -a = -2*a + 2*d + 15. Calculate the remainder when (-6)\/(-126)*18*105 - (4 + 2) is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-770 - -760) + (-1 - (-41 + -1))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60465 or -786048\/13?\nAnswer: -786048\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-8) - (-5)\/12. Suppose 7*q + 35 = 6*w - 5*w, -5*w = 0. What is the smallest value in 2, o, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10874 is divided by 2714.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*f - 369 = 4*x + 231, -50 = -3*f + 170*x - 172*x for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -3*b**4\/4 + 308*b**3\/3 + 103*b**2\/2 + 8365. Determine q so that w(q) = 0.\nAnswer: -1\/3, 0, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9787357709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2590 + 3880. List the prime factors of x.\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3868*o = 3867*o - 13 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 2*a + 14, 0 = -4*x + a - 19. What are the prime factors of 16*(5 + x) - -4?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 - 51. Solve 4*o + g*o = 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 726 + -466. What are the prime factors of n?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96975 is divided by 529?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 194581\/24 or 8107?\nAnswer: 8107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0482256 meters to kilometers.\nAnswer: 0.0000482256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.919 - 0.87. Round w to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -14. Let u(q) = 2*q - 1. Determine u(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/5*(-2)\/(-1). Let w be 6 - (-4)\/((-68)\/(-16) + -4). Suppose o + 18 = k + h*o, -k = 5*o - w. Solve d + k = 4*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 5:30 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21020200100 + -11?\nAnswer: 21020200012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2671.951 milligrams?\nAnswer: 2671951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 3 - 4 - 1 + 3 + (1 - 1 - 1)*(0 + 2 + 0) - 3 + 0 + 2)*(7*h - h - 2*h).\nAnswer: -32*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-59084.\nAnswer: -29542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -41.188 or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -27914 and 243?\nAnswer: -6783102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9736733 + -4351733. What is g rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 3. Let v(w) = 1. Let o = -21 - -27. Let x(r) = o*v(r) - 2*m(r). Let u(f) = -8*f. What is u(x(g))?\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 893.68 + -878. Let q = 4.02 + m. Round q to the nearest integer.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.389 - 2.889. What is the nearest to o in 1, 23.3, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 302*k - 2000. Calculate g(7).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -81 - 57. Let t = f - -152. Calculate the remainder when 26 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1538 + 3642. Suppose 596 - k = -2*b. What are the prime factors of b?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/12)\/((325\/(-3250))\/(6\/(-72)*4))?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (14 - (10 + -2))) + (1 - 3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 3:25 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 4*k + 12, -49 = -3*l + 2*k - 3*k. Suppose 0 = -2*a - 2*d, -2*a + 3*d = d - l. Suppose a*y = 2*y + 406. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -143*t + 2. Let h be (-14)\/21*(-3)\/(-2). Is w(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(13))*4 + sqrt(13) + (sqrt(208)\/sqrt(4) - sqrt(52))\/sqrt(4))**2 - (-6*(sqrt(13) - sqrt(26)\/sqrt(2)) - (-1 + sqrt(1573))).\nAnswer: -69*sqrt(13) + 388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 + 1419*b - 31050.\nAnswer: -3*(b - 450)*(b - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6718 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2. Let w(v) = -v - 2. What is 4*b(h) + 3*w(h)?\nAnswer: -3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 5*q**2 + 6*q - 2. Let l be s(6). Let a = l + 3. Factor 14*h**3 + 32*h**2 - a + 2 + 22*h + 3.\nAnswer: 2*(h + 1)**2*(7*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*z - 131, 0 = -2*z - 0*z + n + 127. Suppose 5*l = l + z. Calculate the remainder when 47 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -23*g**3 + g - 1. Let q be t(1). Let y = q + 46. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122323331 (base 4) to base 5\nAnswer: 12012313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**4\/5 - 12457*h**3\/5 + 24917*h**2\/5 - 12459*h\/5 = 0.\nAnswer: -12459, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3139 - 3126. What is the highest common divisor of 1105 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 19*q**3 + 6*q**2 + 11*q - 6. Let n(c) = -4*c**3 - c**2 - 2*c + 1. What is -2*g(s) - 11*n(s)?\nAnswer: 6*s**3 - s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-4992)\/2912*(-14)\/(-44)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -443 - -508 - (120 + 1).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 509452 - 509454.17113. Let j = q - -2.17. Round j to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -169.036 + 169. What is f rounded to 3 dps?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 3*y**2 - 2*y + 3. Determine j(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*d - 5*m, 0*m = -m + 1. Let x be (-2)\/d + (-28)\/6. What are the prime factors of 156\/4 + x + 1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4*p - 32 = -8*h, 2*h + 12 = 5*p. Let y = h - -41. Suppose n - 4*n = -y. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*p + 46 = -2*p, 0 = -4*p + 16. Suppose 3*g = 4*g - u. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvvvhgvhhovkg. Give prob of picking 1 k and 1 v.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8544555 is divided by 2032.\nAnswer: 2027","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -225 (base 9) to base 12.\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*j**2 - 336653 + 336653.\nAnswer: 77*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/3 - (-56)\/24 - -1. Which is the biggest value? (a) 1.6 (b) i (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -112*g**3 + 128*g + 384 + 60*g**3 - 8*g**2 + 48*g**3.\nAnswer: -4*(g - 6)*(g + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56 - 55. Let g = 71 + -139\/2. Let t(j) = j + 9. Let y be t(-7). Which is the second biggest value? (a) y (b) d (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 + -33. Which is the second smallest value? (a) -1 (b) l (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1422 + -91103\/64. Find the common denominator of 1\/6 and f.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (192 - 185) + 22\/(-3). Which is the nearest to 0? (a) 1 (b) r (c) 2 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5889940 and 18511240?\nAnswer: 129578680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -59, -130, -211, -308, -427, -574, -755, -976?\n\"Answer: -x**3 + x**2 - 67*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -2. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-1)**2 + (-4*sqrt(190))\/sqrt(10).\nAnswer: -4*sqrt(19) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5469*b - 69 = 5446*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 7324 - 7324 + 76*a. Let g be v(-14). Is ((-11)\/((-44)\/g))\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12820 divided by 4\nAnswer: 3205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 10, 12, 8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - 57\/(-15))*(27 - -3). Suppose 0 = 2*g + 14 - l. Suppose 3*p = -q + 1190, -3*q - g*p + 4*p + 3546 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -2*w - 24, 2*j + 385 = 3*w + 405 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5241 plus 0.1863?\nAnswer: 0.7104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 8. What is the second derivative of -3*i**z + 3*i**2 - 3*i**2 + 13*i**2 + 3*i wrt i?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -720? (a) -12\/7 (b) 6 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1181*m**2 - 533*m**2 - 9*m**3 + 861*m**2 + 853*m**2.\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**3 - 14*p**2 + 271*p - 1929. Determine b(7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*g**2 + (2 - 6 + 2)*(-5*g**2 - 4*g**2 + 20*g**2))*((-g**2 + 2 - 2)*(0 + 0 + 2*g) - g**2 + g**2 - g**3 + 2189*g - 2189*g + 123*g**3).\nAnswer: -2880*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*a + 5*w - 45, -42*a + 138 = -18*a - 23*a + 3*w + 137 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 631.9956 minutes in nanoseconds?\nAnswer: 37919736000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 537 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -130195, 4 in descending order.\nAnswer: 4, -5, -130195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2ba (base 14) in base 8?\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 7 + 6)*(5*w - 5 + 5 + (-4*w + 2*w + w)*(-3 - 1 + 5)) as a*w + y and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and -109536.67.\nAnswer: -109538.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3979)\/173)\/((-3)\/3) - 5.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 306\/54 - 2*3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 384 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-147)\/(-245))\/(18\/4).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 52*a**2 - a**3 + 20*a + 0*a**3 - 2*a - 33 - 39*a**2. Let f be v(14). What is the greatest common divisor of f and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -1537633?\nAnswer: 1537638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3210312 + 13311?\nAnswer: -3131001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100512, 402060, 904640, 1608252, 2512896, 3618572, 4925280?\nAnswer: 6433020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5 + -1 + 3 + (-615)\/(-110) and 174\/25*(-10)\/(-16)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4662*o + 6217. Is i(85) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 314.19496 to one decimal place.\nAnswer: 314.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105889 divided by 1.\nAnswer: -105889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -269.0039 + -6.0861. Let i = 280 + b. Let g = -5 + i. What is g rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1012 (base 4) to base 15.\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}