diff --git "a/data/dm_maths/full_data_1/10736_11255.jsonl" "b/data/dm_maths/full_data_1/10736_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10736_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve 19*w + 2*q = 24*w + 23, -4*w = -2*q + 18 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**5 - 4*j**5 + 2*j**5 - 5*j**4 + 5*j**4 - j**5 + (-2*j**3 - 2 + 2)*(-4*j**2 + 13 - 13).\nAnswer: 6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 1684083.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -4)*(-28)\/(-12). Let t(v) = -v**2 + 3*v - 3. Let m(q) = q - 1. Let o(k) = 6*m(k) - t(k). Let s be o(-4). Solve 5*z = -a - 17, 4*a + x = -s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117608623 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: Is 10958 a multiple of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 29*n**2 - 7*n + 23*n**2 - 45*n**2 + 12 + 12. Let y(l) = -l**2 - 3. Let d(a) = w(a) + 6*y(a). Let d(v) = 0. Calculate v.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27 - 28 + 4*w**2 + 38 + 246*w**6 wrt w.\nAnswer: 29520*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27479*d**4 + 4*d**3 + d**2 - 321234*d wrt d.\nAnswer: 329748*d**2 + 24*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/13 + 8\/13*t - 2\/13*t**2.\nAnswer: -2*(t - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 13 - (-40 - -50)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 8431225.23 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-60)\/135*-9 - (-1165995 + -1). Round u to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8 + -2)*(-4 - -3). Let k = 18 + j. Factor k*i**2 + i**4 + 2 + 8*i + 9*i**3 + i**4 - i**3.\nAnswer: 2*(i + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -106*f**2. Let w(l) = 45*l + 5*l - 23*l + 30*l + 11*l. What is n(w(h))?\nAnswer: -490144*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, d: 15}. Give prob of picking 2 w and 1 d.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*v**3 + 16*v**3 + 19*v**3.\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85.2 - 85.3. Which is the nearest to -5? (a) -5 (b) -1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-90)\/20*-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2 + 16*l - 44. Let d be q(13). Let b = d - -1216\/7. Let f = -0.26 + -3.94. What is the second biggest value in 5, b, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1))**(-34)\/(c**(-1))**(-1\/4))**(-1\/17) assuming c is positive.\nAnswer: c**(273\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.2, 2\/3, -4 in descending order.\nAnswer: 2\/3, 0.2, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 6:05 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * -15.\nAnswer: 0.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f - 2*f**3)*(-3*f + 0*f - f) + 5*f**4 - 100*f + 2*f**2 + f**3 + 100*f.\nAnswer: 13*f**4 + f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 94\/54467?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6368\/160 + -39)\/(0 + 36\/(-10)). What is the nearest to 1 in y, -1.23, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o. Let h(u) = 538*u - 3*u**2 - 538*u + 4*u**2. Determine h(r(g)).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-1 + sqrt(832))*1)**2.\nAnswer: -16*sqrt(13) + 834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4103714 is divided by 285.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -8. Suppose -3*x + 40 = 5*h, -4*x - 4*h + 40 + 8 = 0. Let u = 31 - x. What is the remainder when u is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + 3*(1 + ((1 + sqrt(931))**2 - ((sqrt(114)*1)\/sqrt(6))**2)).\nAnswer: 42*sqrt(19) + 2745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 154 - 223?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -13221?\nAnswer: -13221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28810 and 254990.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 + 48. Let t be v\/3*(-18)\/(-4). Let b(k) = t*k - 14 + 14 - 5*k. Let z(d) = 33*d**2. Give z(b(h)).\nAnswer: 132*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(144)\/sqrt(3) + 0) - ((0 + sqrt(300))*3 - (0 + -2*sqrt(300)))**2.\nAnswer: -7500 - 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from kzzzzzzzzzzzzzzzkzz?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-105))\/(60\/140)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**3 + 0*p**4 + 7 - 10 + 4*p**4 + 3*p**2 + 2 to the form d + k*p**4 + h*p**2 + u*p + t*p**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -484 + 7307\/15. Find the common denominator of z and ((-29)\/9 - -3)\/((-3)\/34).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*x + 12. Let q(w) = 2*w - 3. What is q(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2830 - -2839. Let x(l) = -l**3 + 5*l**2 + 35*l + 1. Calculate x(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 63, 2, -19, -901 in decreasing order.\nAnswer: 63, 2, -19, -901","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 8:09 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.8411 - -1.4411. What is the nearest to -22 in 1\/12, 1, i, -0.048?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 4*i = -44, 5*a + 22 = -10737*i + 10738*i for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10573.\nAnswer: 97, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -8. Let w be 3\/(-9) - (-103)\/v. Calculate the greatest common divisor of 51 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1517 is divided by 502.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-2*2*((sqrt(3087) - (sqrt(3087) - (-1*sqrt(3087) + sqrt(3087))))**2 + (sqrt(1575) + -1)**2).\nAnswer: -18912 + 360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -45*s**2 + 7*s + 7. Let y(r) = 22*r**2 - 4*r - 4. Give -3*i(d) - 5*y(d).\nAnswer: 25*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1852\/22 + 6\/9 + 57\/(133551\/(-1988)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -699*v**3 + 16*v**2 - 16*v**2 + 1396*v**3 - 692*v**3 + 11*v.\nAnswer: 5*v**3 + 11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4 + (-2840)\/(-15) - 4\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -91*w**2 - 420*w - 2*w**4 - 249*w - 177*w - 194*w + 3*w**4 wrt w.\nAnswer: 12*w**2 - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4 - 14*v**3 + 69*v**2 - 136*v + 80.\nAnswer: (v - 5)*(v - 4)**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -3*t - 14. Let m be (-6)\/(-21)*t\/12. Which is smaller: m or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 39879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 9*i**2 + 7*i + 67. Let n be t(-9). Suppose -c = 4, 9*l - 3*c - 27 = 4*l. Factor 7 + 5*a**2 + l*a**2 + 30*a - 34*a + n*a**3 - 15.\nAnswer: 4*(a - 1)*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.5 - 3. Sort v, 4, -0.2 in descending order.\nAnswer: 4, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + (sqrt(60)\/(-1*sqrt(588)) - sqrt(45)\/((1*sqrt(9) + sqrt(9))*-3))).\nAnswer: -2 - sqrt(5)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 7*k**2 + 12*k - 24. What is j(5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -109.14611683 to one decimal place.\nAnswer: -109.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*f + 633*f = -642*f + 59044 for f.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -54410914 greater than or equal to -54410912?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = q - 2*q. Does 22 divide 0 + ((-4)\/q - -95)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-67)\/((-1340)\/(-710))).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13451?\nAnswer: 13451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5 = -5*s, -22 = -5*i - 0*s - 4*s. Round i to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5, 26, 79, 154, 251, 370, 511?\n\"Answer: 11*v**2 - 2*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7004 + -2251. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 34, -105, 0.1 in descending order.\nAnswer: 34, 0.5, 0.1, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 1\/3*n**3 - 4\/5*n**5 + 0*n - 2 + 0*n**4 + 0*n**2. Find the third derivative of r(t) wrt t.\nAnswer: -96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2788378 is divided by 45711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33042 - 3?\nAnswer: -33045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.05 - -0.05. Sort 3\/4, j, 4 in increasing order.\nAnswer: j, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 + 2247*x**2 + 9001*x + 6753.\nAnswer: -(x - 2251)*(x + 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*(-5)\/((-10)\/14). Let m = -34 - f. Let y be (2\/(-24)*m)\/(1\/(-70)). Which is smaller: y or 7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*n + 16283 - 32827 - 3*n + 468*n**2 + 15913 wrt n.\nAnswer: 936*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-3 - (-6 + 1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/30 and 133\/180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 139*u**3*y**5 - 36*u**3*y**4 + 2*u**3*y - u**2*y + 8748*u**2 - 2*u*y wrt y.\nAnswer: 2780*u**3*y**3 - 432*u**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d*n**4 - d*n**3 + 428072780*d*n**2 - 1089*n**4 - 12932*n**3 wrt n.\nAnswer: 48*d*n - 6*d - 26136*n - 77592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/7*147\/42. Let k = 0 - -4. Let v(a) = -a - 1. Let w be v(k). Do r and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 575, 7815, 21755, 42395, 69735, 103775, 144515?\n\"Answer: 3350*u**2 - 2810*u + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -96.4 - -90.4. Which is smaller: k or -0.03?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) 1\/7 (c) -102\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -4. Let u be p*(-2)\/(-4) - -6. Suppose 0 - 22 = -3*w - u*k, -4*w + 6 = -5*k. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.46 - -0.5. Let q = j - 0.03. Let f = -0.046 + q. What is f rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(175) + -3 - sqrt(175)) + sqrt(175)*5 + 1 + -2)*6)**2.\nAnswer: -5400*sqrt(7) + 157824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 14, -0.4, -0.043, 8, 17, 4, -4.9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/7, 4, 44, 1, 0, -6\/11 in descending order.\nAnswer: 44, 4, 1, 6\/7, 0, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1261 + 2004. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(1\/2)*l*l**(-2\/9)*l*((l*l**(-1)*l)\/l*l*l)**48*l\/(l**(-1)\/l)*l*l**(2\/21)*l*l**(-1\/10)\/((l\/(l*l**(3\/4)))\/l) assuming l is positive.\nAnswer: l**(132329\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 6*f**2 - 2*f + 19. Determine u(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 164 + -409. Let v = g - -245.3. Let n = -0.1 + -0.1. What is the closest to -2\/13 in v, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h**2 + h - 3. Let d(g) = 3*g**2 + g - 2. Let n be ((-1)\/(-1))\/(4\/(-20)). Let u(p) = n*i(p) + 8*d(p). Calculate u(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.68 + 268.68. Let d = h + -263.7. Put d, 1, -9 in decreasing order.\nAnswer: 1, d, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czxzzyzxzzwy. Give prob of picking 2 x.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1983005688 rounded to 5 dps?\nAnswer: -0.1983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vo when two letters picked without replacement from mmjvaajjjajo?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 289 - 288. Let f be (2\/(-4))\/((-1)\/4). Solve -11 + o = f*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 - 25. Suppose 0 = -3*j + 39. Suppose -v + j = -21. Calculate the remainder when v is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 10*k - k + k + 4*k - 4*k + 5*k - 3*k - 4*k + (2*k - 2*k + k)*(3 - 5 + 3) - 5*k + 3*k + 0*k + (3 + 2*k - 3)*(2 + 3 - 7))*(2*k + k - 5*k).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13547 + -13543. Solve 5*r - 5*f + 17 = 7, j*r + 10 = 3*f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3726810462.\nAnswer: 2, 3, 9649, 64373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/2 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2. Let b(o) be the first derivative of 0*o**2 + 70 + 0*o - 65\/3*o**3. Give b(d(w)).\nAnswer: -65*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + 62.683028691.\nAnswer: 66.683028691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 16060 and -0.5.\nAnswer: 16059.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 474043 is divided by 507?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 459 a factor of 612765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 6*n**2 + 2*n + 11. Suppose -8*f - 2580 = -2532. Determine y(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*y + 17 + 23. Sort -15, 3, -2, y.\nAnswer: -15, y, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 676.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 4*d - d)*(-2*d**2 - d**2 + 4*d**2) + 161*d - 16*d**3 + 54*d - 2*d**2 - 214*d.\nAnswer: -14*d**3 - 2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, -1258\/35, -3, 3\/16, -4\/7?\nAnswer: -1258\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 849502.\nAnswer: 2, 269, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(2 - -1)\/((-8)\/104*-13).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 300 - 5?\nAnswer: 2a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 3*a + 6. Let t be b(-4). Factor 12*j**2 + 78*j**t - 25 - 50*j**3 + 33 - 48*j.\nAnswer: -2*(j - 1)*(5*j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -185*s + 128. Suppose 8 = 2*p + 4*l, 4*l - 2 + 10 = 0. Let c(x) = -277*x + 192. Let q(m) = p*o(m) - 5*c(m). Differentiate q(j) with respect to j.\nAnswer: -95","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2432\/21280)\/(1\/10*2).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 11\/6, -52\/75, -3\/7 in decreasing order.\nAnswer: 11\/6, -3\/7, -52\/75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -229 take away -1968?\nAnswer: 1739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (58\/(-32) + 2)\/((-135)\/1250) and 89\/30.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22375*w**4 + 4461 wrt w.\nAnswer: -89500*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 518633*l + 14 = 518634*l - 3*m + 2, 54 = l - 17*m for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j**2 - 118170939*j - 418526511 wrt j.\nAnswer: 2*j - 118170939","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/4 + 3*z**2\/2 - 9*z\/4 + 1.\nAnswer: -(z - 4)*(z - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 234041140 (base 5) in base 14?\nAnswer: 201c39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p + 11. Let q be u(-11). Let w(a) be the first derivative of q*a - 1\/3*a**3 + 0*a**2 + 3 + 1\/2*a**4. Find the third derivative of w(d) wrt d.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -494, -3546, -8630, -15746, -24894?\nAnswer: -36074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13892\/2567*(1785\/(-14))\/(-15).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2. Let x(f) = 68*f + 65927. Calculate x(d(r)).\nAnswer: 204*r**2 + 65927","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(567))\/(sqrt(15)\/(1*sqrt(5))))\/(2*sqrt(3)*4 + sqrt(9)\/sqrt(3)*4).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2644392 is divided by 923?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2686934 is divided by 562?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -16 + (-3 + -4 - -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 79\/(-7) - 10\/(-35). Let k = 8 + v. Let z = k + 11. Calculate the remainder when 22 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 8485011929?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 + 8 - (1 - 8).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 173*r**2 - 15*r + 14. Let i be v(1). Let f = -176 + i. What is the nearest to 0.21 in 0.4, f, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-5440)\/(-560) + -2)?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 4*j**2 + 2*j - 5. Let f be h(4). Suppose f*b - z - 53 = 36, 4*b - 119 = z. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-15))\/((-595)\/225 + (-96)\/(-36))*19\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 65271304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -1\/12*j**4 + 0*j + 0 + 2*j**2 - 1\/6*j**3. Is 7 a factor of x(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9\/10 of a kilometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -1\/2 (c) 3\/19 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*y + 6 = 14, -2*f - y = 0. Let w be (1\/f*2\/(-3))\/(-1). Let q = -2\/53 + -151\/212. Which is the closest to 0? (a) q (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -173\/2 - -87. Let d(x) be the first derivative of -4\/5*x**5 + 3\/2*x**4 - 4\/3*x**3 + 1\/6*x**6 - 1 + 0*x + f*x**2. Factor d(h).\nAnswer: h*(h - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/15 - 15\/((-900)\/(-24)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59064 is divided by 203.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 11) to base 6.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 139, 1, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11574421.2 rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o**4 + 313*o**2 + 1129 with respect to o.\nAnswer: 4*o**3 + 626*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a - 3. Let m = 1 + 4. Let o = m - 8. Let c(t) = -t - 2. Let f(r) = o*c(r) + 2*y(r). Let g(w) = -w**2. Calculate f(g(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 10:32 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246890 divided by 10.\nAnswer: 24689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.795, 0.4, 2, -1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 55\/77*(-4)\/10. Let v = 253 - 253. Let n be -3*(-16)\/20*1\/4. Put t, n, 4, v in decreasing order.\nAnswer: 4, n, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81869.\nAnswer: 81869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6460 and 24196610.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 8*f**4 - 12516*f**3 - 56456*f**2 - 43956*f + 37656 = 0?\nAnswer: -3, -2, 1\/2, 1569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140 - 140 - -264) + 1 + 37?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0203 and 209.\nAnswer: -4.2427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 868572505 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l + 37. Let n be p(17). Solve 4*c - 4*o - 16 = 0, 0 = -2*c + n*o + 4 + 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-28))\/((-1)\/(-4)). Let y = -52.8 + 53. Which is the nearest to -1? (a) y (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 989c (base 15) in base 10?\nAnswer: 32322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + u**2 + 2*u - 1. Let s be n(1). Let c = 9 - s. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s - 4. Let c be u(6). Suppose t - 6 - c = 5*r, t + 2*r - 1 = 0. Solve t*j = 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14317694?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2 - 5826560*z - 23306272 = 0. Calculate z.\nAnswer: -4, 2913284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 584 divide 1880480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2907156 divided by 18284\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1928*s**4 - 141*s + 10.\nAnswer: -23136*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*x**3\/7 - 4*x**2\/7 + 36*x\/7 - 8\/7 = 0. Calculate x.\nAnswer: -1, 1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 11, e: 6, i: 1}?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9370 - -9858. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5 = -5*v, 0*v = 2*v + 2*i + 6. Suppose -2*g + 8 = v*g. Factor 0*p - 2\/3*p**g - 2\/3*p**3 + 0.\nAnswer: -2*p**2*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 37 = 297. Let c = -24 - k. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + (-13)\/((-364)\/(-184)). Which is the smallest value? (a) 2 (b) 4\/3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 7 = 3*a + 36, 5*a = 5*l - 215. Suppose -28 = 18*f - 244. Suppose d = -z + 5*z - 165, 0 = -4*d + f. Which is smaller: z or l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 18*o**2 - o - 13. Let k be q(-18). Suppose -3*w + 18 = 3. Solve w + 0 = -k*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - -15. Let q = -44967.9715 + 44937. Let i = j + q. What is i rounded to 3 dps?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41\/(27552\/(-128))*4\/8.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -321444 - -76?\nAnswer: -321346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -238.55946 * 1\nAnswer: -238.55946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1267 divide 5902953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -368 + -7?\nAnswer: -376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -16, 30, 114, 242, 420, 654?\n\"Answer: q**3 + 13*q**2 - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1782)\/144*(-96)\/36.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 496 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -873.3 + 873. What is the nearest to p in -3, 0.2, 15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -138217?\nAnswer: 691085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 359724600 a multiple of 552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qdq when three letters picked without replacement from qgqqgqdqdgqqggq?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, y: 1, h: 8}. Give prob of picking 2 h and 1 u.\nAnswer: 24\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-98)\/7 + 5)\/(36\/60).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 79364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 + -16. Suppose -5*d - f = 2*j, -3*d = -5*j + d - 32. What is j rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 225 and 72?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -67 + 33 + 24 + 49\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.195 - -86.195. Let f = l + -85.999963. Round f to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -808 - -821.48. Let v = 6 + -20. Let u = v + f. What is u rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 124\/89 and 1\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*p = 20, v - 3*p + 1 - 5 = 0. Suppose x = -v*x + 275. What are the prime factors of x?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -206, -212, -218, -224, -230?\n\"Answer: -6*z - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 423 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0811 + -3.0811. Which is the third biggest value? (a) y (b) 0.2 (c) 0.3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2595 to the nearest ten.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 78 = 2*h, -h = 4*b + 2*h + 322. Suppose 0*d - 10*d = -840. Let c = d + b. Solve 0 = 2*w - c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + f**2 + 10*f. Let k(t) = 350*t**3 + 98*t**2 + 980*t + 616. Let x(d) = 2*k(d) - 196*v(d). What is the derivative of x(a) wrt a?\nAnswer: 1512*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 12:18 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10978080, -10978165, -10978254, -10978347, -10978444?\n\"Answer: -2*n**2 - 79*n - 10977999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 1. Let i(c) = 2*c**2 - 5*c - 1. Let a(p) = -i(p) + 3*v(p). Find t, given that a(t) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001871 to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 607 and 59921219.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -7*l - 5*l**2 - 22*l**3 + l**2 + 21*l**3 - l**2. Let b be p(-3). Solve q + 17 = 8*i - 4*i, -i + 18 = -b*q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.25 in -10, 261, 0, -0.5, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -231161 (base 7) in base 9?\nAnswer: -62525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 1:43 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y - 1. Let c be x(-1). Solve 5*r - r + 8 = c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 at most as big as -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3 + 1 + 4. Let l(q) = 0*q + 15 + 4*q - 5*q. Let m(x) = -2*x + 31. Let b(g) = 9*l(g) - 4*m(g). What is 2*b(w) - 11*r(w)?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -13*m - 25. Let v be g(-13). Suppose 0 = -5*y - v - 71. Let o = -9 - y. What is the remainder when 134 is divided by o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + y + 2*y)*(-1 + 123*y**4 + 277*y**4 - 96*y**4).\nAnswer: 608*y**5 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7503 = -7*h - 2*n - 7494, -2*h = -h + 5*n - 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*a + 25*a - 11*a**3)*(5*a**2 - a**2 + 8*a**2)*(13 + 1 + 4).\nAnswer: -2376*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from zzvivziivrvv.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/54978 and 149\/140420.\nAnswer: 32437020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2052, -4107, -6164, -8223, -10284, -12347?\n\"Answer: -x**2 - 2052*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.8 - 2.2. Which is the closest to 0.3? (a) -1\/7 (b) g (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-170)\/1020)\/(-1 - ((-8)\/(-12) + -1))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 165*h = -164*h - 97, -2*n = 5*h - 25. Solve -a - 5*m + n = 0, -4*m = 4*a - 7*a - 16 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37\/(-18) + (-30)\/(-7 - 8) + 0.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-11)\/(605\/(-132)))\/((-13)\/(-266760)).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 94 - 61d?\nAnswer: -569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.907252 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 216\/4*17*3\/102\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 451159568 divided by -112789892\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**4\/2 - d**3\/6 - d**2 + 28*d. Let i(u) = -u**2 + u. Determine i(f) + x(f).\nAnswer: 5*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-416)\/1963) - (2\/(-24))\/((-42)\/(-63)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/5 - 1\/5. Suppose 0 = -5*h - f + 77 - 56, 3*h - 16 = -4*f. Solve q*z = h + 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n - 5. Let q(o) be the first derivative of -3*o**2 - 2. Let b be q(-1). Is s(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -192 and -18?\nAnswer: 3456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 471.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17434 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: Suppose 5*v + 3*v = -304. Let g = -38 - v. Suppose 5*x + 3 = -w - 0, -5*w - 15 = g. Solve x = a - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -22. Which is the biggest value? (a) z (b) -1 (c) -4 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -138 times 11?\nAnswer: -1518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uz when two letters picked without replacement from {u: 9, z: 3}?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, p: 4, s: 1, d: 2}. What is prob of sequence od?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 34, 358, -6\/29?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 59. Let v(y) = y**3 - y**2 + y + 6. Let d be v(-2). Let m be j(d). Is ((-8)\/m)\/(2\/10) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46 and (-16)\/((-4)\/(8\/6) - -2)?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 s when two letters picked without replacement from zydddyyyzsysybdy.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j. Let h = -4 - -54. Suppose -2*f + h = 3*f. What is the smallest common multiple of f and a(-2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1622 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5*y - 8. Give u(-9).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.048, -0.07, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6320 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*f = -4*c + 16, -2*c + 8 = 2*f. Suppose k + 8 = 3*v - f*v, k = 1. Solve 2*s + v*s = 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.1027 to 1 dp.\nAnswer: 7.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**4\/11 + 18*d**3\/11 - 2*d**2\/11 - 18*d\/11 = 0 for d.\nAnswer: -9, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -63. What is the highest common factor of x and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 199410 and 9252624.\nAnswer: 46263120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -76 in -2\/19, -0.8, 14, 0.1, -0.3?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/190 and -127\/188860.\nAnswer: 188860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 746056842.\nAnswer: 2, 3, 23, 29, 277, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 364 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-106)\/(-54) + (-3)\/(9\/(-12))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -9, -4\/15, -0.3, 1 in decreasing order.\nAnswer: 1, 1\/4, -4\/15, -0.3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v - 4. Suppose -6*d = -g - 4*d - 15, 15 = 3*d. Let j(l) = 3*l + 7. Determine g*a(u) - 3*j(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-12) + 321\/(-18))*(-39)\/(-9). Let y(l) = -l**2 + l + 1. Let g(o) = 13*o + 237 - 224 - 5*o**2 - 9*o**2. What is t*y(z) + 6*g(z)?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 + -19. Is g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 2*c - 16. Suppose -4*p + 16 = -0*p. Calculate the remainder when h(-4) is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -3\/2, -6.2, -460, 3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - 37. Solve h = 7*o - 11*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h - 2*h**2 - 3*h**2 - h.\nAnswer: -5*h**2 - 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*v - 2. Which is the biggest value? (a) -3\/2 (b) v (c) 0.5 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4\/4 - 21*t**3 - 204*t**2 - 432*t.\nAnswer: 3*t*(t - 36)*(t + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 14*f**3 - 20*f**2 - f - 9417. Let i(w) = 2*w**4 - 2*w**3 + w**2 - w - 14. Let a(j) = -i(j) + y(j). Differentiate a(k) wrt k.\nAnswer: -8*k**3 + 48*k**2 - 42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - w - 2)*(-15 + 15 + 8*w).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/8 - 30\/(-56). Suppose 106*j + 402 - 826 = 0. What is the closest to k in 3, 1\/5, j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145008089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06687 - 0.06687. Which is the third smallest value? (a) -129 (b) 1\/6 (c) -0.2 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276256?\nAnswer: 2, 89, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22363?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.31865 rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(208)\/sqrt(4))\/sqrt(4) - (-3 + sqrt(208) + (0 + (sqrt(208) - (sqrt(208) + -1)) + sqrt(208) - sqrt(208)))**2)*-2*4.\nAnswer: -176*sqrt(13) + 1696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 101 + -55. Let q = s + -28. What is the remainder when 52 is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/5 + 55\/75. Let i(a) be the first derivative of -9 + 1\/2*a**2 + q*a**3 + 4*a. Calculate i(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 921.39 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1776)\/740 + 294\/10. Solve -v = -8*p - 11 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i + 10 = -17*i. Suppose 0 = 6*j - 2*j + 5*u - 30, i*u + 16 = 4*j. Solve 0 = 3*h - 0*c - 2*c - 13, j*c = -h - 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tma when three letters picked without replacement from mamathaoaoaao.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22683 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d - 6. Let n = -41 + 50. Let f be k(n). Let g(i) = -2*i**f - 26 + i**3 + 35 + 6*i**2 - 2*i. Give g(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186.41 rounded to 0 decimal places?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 - 4*m**3 - 3*m**3)*(3 - 2 - 2).\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5463.67 rounded to the nearest one hundred?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/666 and -49\/36?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 61341.04 years?\nAnswer: 6134.104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of c**2 + c - 1. Let p be q(-4). Let i be 3 - (-1 - p)\/2. Sort i, -1, 4.\nAnswer: -1, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -55, -0.5, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3\/2, 61 in ascending order.\nAnswer: 3\/2, 4, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 129*i**2 - 11*i + 81. Is w(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-24798)\/(-4))\/(-6 + 270\/40) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273267*k - 476 = -273233*k for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 368 a factor of 67864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -44, -86, -234, -542, -1064, -1854, -2966, -4454?\n\"Answer: -9*j**3 + j**2 + 18*j - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -432*b = -427*b + 650. Let o be (3 - -1) + 0 + 572\/b. What is the third smallest value in o, 54, 0.3?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1934\/3 + 636. Let y = 4241\/286 - -2\/429. What is the common denominator of y and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3313 divide 596755207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 312.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/35)\/(-1))\/((-73)\/(-1460)*-24)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 33 = 6*t. Suppose -y + 74 = 5*s - 4*y, 2*s - 2*y - 32 = 0. Let i(n) = 37*n - 242. Let v be i(7). Solve 5*g = -4*j + v, -7*j + t*j = g - s for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of t**4\/6 - 3*t - 2514. Let q(y) = -1736*y - 4. What is q(m(n))?\nAnswer: -3472*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 259*k**4 + 3*k**5 - 2 - 2*k**5 - 269*k**4 + (-474 - 417 + 263)*(-4*k**5 + k**5 + k**5).\nAnswer: 1257*k**5 - 10*k**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 35 + -6 - (-1 - -4). Suppose -1 = 5*a - z. Solve a = -3*o + i + 3, o - 2*i = -9 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 - ((3 - (-2685)\/(-165)) + 12)\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2062, 67, 5 in ascending order.\nAnswer: -2062, 5, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**3 - 4*k**3 + 2*k**3 + (0*k**3 - 3*k**3 + 4*k**3)*(-4 - 1 - 5))*(-3 - 2 + 4).\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -6. Let k(a) = 4*a - s*a - a. Let r(n) = 5*n**2 + 3. Let q(c) = -14*c**2 - 8. Let o(f) = -3*q(f) - 8*r(f). Give o(k(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1921 - 1909) + (-1 - (0 - 3)) + 1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.46 in -71\/3, -12, -5\/2, -2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k = 2*b + 48, -2*k - 2514*b = -2509*b + 159 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, a: 3, w: 6, u: 2}. Give prob of sequence ca.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -a95459?\nAnswer: a9545a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 120737400 rounded to the nearest one hundred thousand?\nAnswer: 120700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 194 + -194. Let b(o) = 2*o + 12. Let g be b(-6). Solve 4*k + 2*r + 6 = i, g = -r + 4*r - 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1550, 3116, 4666, 6194, 7694, 9160, 10586?\n\"Answer: -w**3 - 2*w**2 + 1579*w - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*2*291\/2619?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 355*i**2 + 14*i - 1. Is f(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**5 + 30*a**4 - 15*a**3 - 100*a**2 - 60*a.\nAnswer: 5*a*(a - 2)*(a + 1)**2*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32 + 6450?\nAnswer: 6415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2354 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194*x - 3*l = -189*x - 4, -10 = -2*x - 4*l. Let z be (-2 + -2 + 3)*-85. Is z at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370\/57 smaller than 1549?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101 (base 3) in base 6?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3237885 + -1?\nAnswer: -3237886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4036 = 2*u + 2*k, -6*k = 5*u - 8*k - 10076. Suppose -3*d = -4*s - d + u, 3*d - 1008 = -2*s. What are the prime factors of s?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**8\/3360 - m**7\/126 + m**6\/40 - 5*m**4\/4 + 17*m. Let p(h) be the third derivative of y(h). Find u, given that p(u) = 0.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25761500389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1649 = -149*c + 1927 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4704 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - 91 + 115 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2046269520.\nAnswer: 2, 3, 5, 23, 41189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 5*c**2 - 3*c - 2. Let h = -6 - -10. Let i be a(h). Solve l + l = i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -297 + 1187\/4. Let i = 1 + -1.3. Let u = i - -1.3. What is the third smallest value in -0.3, u, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-411*o - 22*o**3 + 411*o)*(-19*o + 8*o - 22*o).\nAnswer: 726*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and (6\/(-4))\/(9\/(-276))?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 5*v + 10 = -19, -17*d + 12 = v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 25\/8, 23, -1\/6, 1, 4\/3 in descending order.\nAnswer: 23, 25\/8, 4\/3, 1, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/432*3\/5.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v**(17\/2)\/v)\/v)*v*v)\/((v\/(v*v*v\/(v*v**12)*v*v))\/v) assuming v is positive.\nAnswer: v**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 198\/(-27) + (-2)\/3. Let t = m - -10. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/3 - 220\/60. Which is the closest to 1\/8? (a) -0.2 (b) d (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24.62 + -25.8. Round o to 2 decimal places.\nAnswer: -1.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7790663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.494 + -4.694. What is the nearest to 0 in h, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 6:10 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4049 is divided by 150?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 2. Suppose -3*i - 15 = -0*i. Let g = 198 - 195. Let n(u) = -2*u + 4. Determine g*n(m) + i*s(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26528 (base 9) to base 6.\nAnswer: -214555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -17*s**2 + 23*s**2 - 12*s**2. Let a(f) be the first derivative of -3*f**2\/2 - 14. What is h(a(b))?\nAnswer: -54*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8\/6*(-22)\/(-132)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2 = 3. Let l be (62\/3)\/((-6)\/9). List the prime factors of l*(u - 2 - 3).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -397 + 833\/2. Let t = s + -19. Suppose 0*m - m = 0. Which is greater: m or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20221137 divided by 3?\nAnswer: 6740379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50050 and 56.\nAnswer: 200200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(1\/4)*i)**14*(i**(-1)\/i)**(13\/2) assuming i is positive.\nAnswer: i**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a. Let r(u) = -2*u**2 - 2. What is r(c(j))?\nAnswer: -18*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 5. Suppose x*o + 120438 = 9438. What is o rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 28 + -8b?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*k + 60*k + 257*k + 142*k.\nAnswer: 612*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 14*l**2 + 792*l + 150. Let x be f(-36). Solve x*p - 48 = 174*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3008, 3015, 3022, 3029?\n\"Answer: 7*q + 3001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 11:07 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 11*o**2 - 24*o + 24. Suppose d - 28 = 2*i, -2*i + 7*d - 32 = 4*d. What is y(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194*t - 141*t = -111*t + 9632. Let a(j) = -j**2 - 39*j + 176. Calculate a(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o - 11*o - 6*o - 4*r = 6*o + 30, 0 = -4*o - 10*r - 58 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**5\/5 - 42*h**4 = 0. What is h?\nAnswer: 0, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = 4*b + 69. Suppose -5*g + j + j + 15 = 0, -4*j + b = 0. Solve q + q - 5*k = -14, 0 = -g*k + 20 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*d - 41*d + 3*s = -388112, s = 7. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 5 - 12. Let o = 15 + -14. Let u = o - h. Calculate the smallest common multiple of 10 and u.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 0*u - 10. Suppose 0*k = u*k - 2. Let j be (-1 - -1) + 1 + 14. Solve -2*v = 3*n + j, 4*v - 3*n + k = -2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -20. Let y = 47 - 3. Calculate the greatest common factor of n and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/399283132 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 216281, 216357, 216431, 216503, 216573, 216641, 216707?\n\"Answer: -b**2 + 79*b + 216203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11845864.\nAnswer: 2, 1480733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -183875432507+1.7\nAnswer: -183875432505.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -8*t**3 - 2*t + 6. Let g(b) = -b. What is 2*g(c) - p(c)?\nAnswer: 8*c**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 1919.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**4\/7 - 1912*c**3\/7 + 2496*c**2 - 29320*c\/7 - 48700\/7 = 0.\nAnswer: -487, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3, -186, 2\/9, -1881?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/18)\/(2\/4). Let t(l) = -2*l**3 - l**2 + l - 1. Determine t(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1335 + -1124. Does 50 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55\/9 + -52\/9. Let f(d) be the second derivative of -b*d**4 + 1\/10*d**5 + 0 + 0*d**2 - d**3 - d. Factor f(c).\nAnswer: 2*c*(c - 3)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(800) + sqrt(800) + sqrt(800)*-1*6 - 1*sqrt(800)*-1)\/(sqrt(4)*-2*3*6*3))**2.\nAnswer: 25\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) - (sqrt(320) - sqrt(320)*-3*-5))**2 - (sqrt(320) + sqrt(320)*-2 + sqrt(320))**2*-3.\nAnswer: 72000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -467, -780, -1291, -1994, -2883, -3952, -5195?\n\"Answer: w**3 - 105*w**2 - 5*w - 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/2)\/((-1)\/2). Suppose -b*r = 4*h - 3*h + 21, 2*h - 8 = 0. Let k(z) = 3*z**2 + z - 3. Is k(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 0, 1, -3\/23, -1\/6, -1\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 459 and 204?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266525 is divided by 647?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -0.4 (c) 0.05 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 205.511 - 3121.5?\nAnswer: -2915.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -4 (b) -1\/2 (c) -0.1 (d) 3.98 (e) 48.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 21323369\nAnswer: -10661684.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.4 and -0.9259405?\nAnswer: -5.0000787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*sqrt(304) - sqrt(133)\/(sqrt(7)*4)).\nAnswer: -33*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 8:41 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5))**(-21)*(w**(2\/7)*w)\/w*w**18 assuming w is positive.\nAnswer: w**(863\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*q - 62 = 0, q + 15 + 11 = 2*s. Sort -1\/3, s, -0.4, 0.2, 1 in descending order.\nAnswer: s, 1, 0.2, -1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133232 (base 4) to base 13.\nAnswer: c02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 344535 and 10035?\nAnswer: 1033605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.256423 millilitres?\nAnswer: 0.005256423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/5 + 286514*w**2\/5 + 286516*w\/5.\nAnswer: -2*w*(w - 143258)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u + 9. Let i be b(-17). Suppose -3*t + 67 = 5*n, -5*n + 3 = -t - 48. Calculate the greatest common factor of n and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6e24e1 (base 15) in base 4?\nAnswer: 110013110131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -832 + 803. Let u(i) = -3*i**2 - 83*i + 110. Let r be u(h). Is r < 19\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1787 is divided by 25.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 11*u**2 + 11*u + 9. Let y be d(10). Let v = y - 17. Let t be (0 - v) + 3 + 1. Solve i = -t*i + 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2016*a + 264*a - 13680 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + 4*u + 4, 10*k - 9*k = -5*u + 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l + 2. Let s be u(0). Suppose 86 = 6*m - 2*v, -5*v - 4 = -4*v. Sort 3, 1, s, m in increasing order.\nAnswer: 1, s, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 214 and 27.\nAnswer: 5778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -6746280 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + b - 68. Suppose 28 = 3*a - b. What is the highest common factor of 6 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n**5\/3 - 1261*n**4\/3 + 369074*n**3\/3 + 18224704*n**2\/3 + 5951456*n = 0. What is n?\nAnswer: -42, -1, 0, 652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44076 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 1. Suppose s*i - 2557 = -202. Let c = i - 308. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/3 - -7) + -3. List the prime factors of (-2205)\/(-81) + a\/(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-7)\/14)*1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, y: 1, t: 1, r: 2, i: 2}. What is prob of sequence yri?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 670 = -2*w + 3*g, w - 2*g - 328 = 0. Let l = 571 - w. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331564 is divided by 165498?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 252 divide 22375384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1279061167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -49555988*u**4 + 4*u + 333101986.\nAnswer: -198223952*u**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -2\/11, -9\/163.\nAnswer: -2\/11, -1\/6, -9\/163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kzskhhkyk. What is prob of sequence skyk?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/5))**(24\/11) assuming l is positive.\nAnswer: l**(48\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(99) - (sqrt(99) - (sqrt(99)*4 - sqrt(99)))*6))\/((sqrt(45) + -4*sqrt(720) + sqrt(720))\/sqrt(5)))**2.\nAnswer: 2704\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*z - 42*z - 83*z to g + k*z and give k.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0 - 2 = 0. Let d(q) = -q**2. Let f(m) be the second derivative of m**4\/12 + m**3\/6 - m**2\/2 + 54*m. Give c*d(j) - f(j).\nAnswer: j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s + 8. Let u be b(6). Let w = -67 + 21. Let d = u - w. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/2))**20 assuming h is positive.\nAnswer: h**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (-546)\/30 - 2\/(-10). Let b be (147\/h)\/(9\/(81\/(-60))). Let s = -8\/5 + b. Is 0 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -v**3 + v**2\/2 + 4*v - 162. Give d(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -aa92 (base 12) to base 7\nAnswer: -105620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/5 of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 262.891 decades in years?\nAnswer: 2628.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**7\/420 - r**5\/50 - r**4\/60 + r**3\/20 + r**2\/10 - 4*r. Determine v so that p(v) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -14 and 185651997097.\nAnswer: 185651997083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(495) - (-2*(2*sqrt(495) + sqrt(495)) + sqrt(495))))\/((sqrt(33) + sqrt(528)*1)\/(sqrt(9)\/(-1*sqrt(3)))).\nAnswer: -54*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fncocncocmcn. Give prob of picking 1 o, 2 c, and 1 m.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*f**4 + 2*f**5 - 7 + 7 - 2*f + (3*f**2 - 3*f**2 + f**2)*(2*f**3 + 0*f**3 - f**3).\nAnswer: 3*f**5 + 6*f**4 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 88\/15 and 173\/3900?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 11*w - 15 = -3. Let c(m) = -m**3 + 6*m**2 + 4*m - 24. Give c(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaq when four letters picked without replacement from aqaaqaaaaaa.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 715 is divided by 237.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 4*t - 18 = 0, -22*x + 19 = t - 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 653694 - -185.\nAnswer: 653879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -244.2505238573 + 0.2505055573. Let b = y - -244. Round b to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -352\/3 - -119. Which is the second biggest value? (a) p (b) 10 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 92*i**2 + 447*i - 596. Give s(-6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((5*-1)\/1). Let j(i) = -i**3 - i**2 + i - 1. Let x be j(0). Let b be (1\/(-3))\/(x\/(-9)). What is the biggest value in -0.3, w, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*sqrt(304))**2 + (-5*sqrt(133)*2)\/sqrt(7).\nAnswer: -10*sqrt(19) + 2432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 divided by -10?\nAnswer: -44\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*p + 13. Let u be 4*p\/6 - -1. List the prime factors of (u\/9)\/((-2)\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**2\/3 - 164510*r\/3 + 7072081\/3 = 0?\nAnswer: 43, 164467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.15 (b) -5 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 697 + -702. Put 557, 1, -4, x, 0 in increasing order.\nAnswer: x, -4, 0, 1, 557","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5838, 6162, 6486, 6810?\n\"Answer: 324*n + 5514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 1078 = 3*u - 3*r, -2*u - 5*r + 757 = 0. Suppose -i + u = 2*i. What are the prime factors of i?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51.559 times -5\nAnswer: -257.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38500\/23 + -1674. Put -37, -5, o in decreasing order.\nAnswer: o, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4938 divided by -1?\nAnswer: -4938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10323 + -1764. List the prime factors of a.\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 708, 17 in ascending order.\nAnswer: 2, 4, 17, 708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 620 and 116126?\nAnswer: 1161260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1488509873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 12:05 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.092 * -0.864\nAnswer: -0.079488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -111010110001110 (base 2) in base 12?\nAnswer: -154ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3052 - -817937\/268. Let r = -2269922 + 5475051319\/2412. Let v = q + r. Which is the nearest to -1\/3? (a) 2 (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence av when two letters picked without replacement from {v: 2, a: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13926486 by 2814.\nAnswer: 4949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/15, 17\/3, 3\/7, 3\/8, -3, -12\/5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u + 196 = 40 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, 2\/11, 4\/3, -539 in increasing order.\nAnswer: -539, -7, 2\/11, 4\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 17\/2 of a kilogram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11\/4 (b) -5 (c) 390 (d) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 177*c. Let a(w) = w + 37. Give a(z(x)).\nAnswer: 177*x + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k - 12 + 18*k + 24*k. Let d be y(6). Calculate the highest common factor of 27 and d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/2*(-188)\/6. Suppose 5*g + 20664 = b*g. Calculate the highest common divisor of 36 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1649 (base 10) to base 14.\nAnswer: -85b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3236*z**2 + 7190*z - 118485033.\nAnswer: -6472*z + 7190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 157\/14 - -429\/7. Let c = x - 106. Calculate the common denominator of c and (-87)\/6 + 0\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 207*n - 1617933 + 1617933 - 5*n**2 in the form u + j*n**2 + q*n and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/3 - 1201*j**2\/3 - 2008*j - 2412.\nAnswer: (j - 1206)*(j + 2)*(j + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from idcwlgwc. What is prob of sequence dclg?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -57*q + 9329. Calculate p(164).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -147 + 151 - ((-1 - (-4 - -5)) + 36).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 2*r**2 - 2*r**2)*(-r + 15*r - 3*r).\nAnswer: 11*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 5*t + 13*t + 1)*(2*t**3 - 1 - 13*t**3 - t**3).\nAnswer: -72*t**4 - 12*t**3 - 6*t - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -2*f - 23. Suppose 4*p + 4*a + f - 29 = 0, 3*a - 10 = -p. Solve -p*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -90, 10, 1?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 7:01 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 965 a factor of 2994395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 divided by 158?\nAnswer: 211\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82 + -85 + 4 + -2 + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -31. Let l = u + -11. Calculate the remainder when 7 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 5) + 4\/1. Suppose -5*n - 5*t = -925, 5*n = 2*n - l*t + 552. Let m = -121 + n. Is 20 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11259742799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -5*p + 4098, 3*p + 2*t = 4*p - 828. Let q(u) = -3*u + p - 839 + 4*u. Give q(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {e: 5, x: 2, h: 6}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4065 is divided by 2014.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(140) + (sqrt(140) - (sqrt(140) + sqrt(140)*1 - sqrt(140))))*6*-4)\/(sqrt(5) + -1*sqrt(405) + sqrt(35)\/sqrt(7)*1))**2.\nAnswer: 2304\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -353122, -706260, -1059400, -1412542, -1765686?\nAnswer: -2118832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y - 2. Suppose -29*d + 26*d + 15 = 0. Suppose 0*i = -3*i - 2*k + 18, -5*i + d*k = -5. Suppose -i*g + 30 = 3*h - g, -3*g = h - 18. What is t(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 71*f + 4. Let t be l(1). Let w = t + -70. Let j(z) = z**3 - 4*z**2 - 4*z - 6. Calculate j(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -88.04 + 0.04. Let q = x + 87.9. Which is smaller: -0.39 or q?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 11*v**2 - 96*v - 20. What is c(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2 = -12. Let o = 7 + -5. Let l be ((-3)\/o)\/((-9)\/12). Solve -w*b = l*b - 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*p + 2. What is the smallest common multiple of 14 and (-1 + -1)\/(p\/(-2))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 751*j - 2996. Determine i(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79 + 72. Let x(r) = -5271*r + 3. Let l be x(t). Suppose 0 = -7*g + 10*g + l. What is g rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*w - 12 = l, 5*l = 5*w. Suppose w*a - 63 = -3*k, -4*a + 47 + 40 = -5*k. Calculate the greatest common divisor of 45 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(5\/2)*d*d*d\/(d*d*d\/(d\/(d*d\/d**(-2\/9)*d)))*d*((d**(-1\/3)*d)\/d)**11 assuming d is positive.\nAnswer: d**(-43\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - 0.2. Let q = 0.2 - 1.2. Let v = -1438\/9 + 160. What is the third biggest value in i, q, v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 821433\/770 - 11728\/11. Calculate the common denominator of (-1277)\/(-50) - (-39788)\/(-1421) and x.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.02, 1, -18?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*x - 1556 - 1164 = -134*x for x.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 - 2522122*x - 10 + 17*x**2 + 2522124*x.\nAnswer: 17*x**2 + 2*x - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -154432 (base 6) to base 10\nAnswer: -15284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 524, 1144, 2008, 3248, 4996, 7384, 10544, 14608?\nAnswer: 19708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -5. Which is the closest to -0.1? (a) -2 (b) 1\/6 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -7*p**2 + 2*p. Give u(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3902 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, 1, -391 in decreasing order.\nAnswer: 91, 1, -391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2140729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.79106296 rounded to 4 dps?\nAnswer: 9.7911","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309 - 203 = -4*b. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2952 and 15867.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(44)\/(1*sqrt(55)\/sqrt(5)))\/((sqrt(16)\/sqrt(32))\/(1*sqrt(4)*-2)))**2.\nAnswer: 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (0 - (-1 + -1 + 3 - 7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from inhhkiknthnhin. Give prob of sequence hkhn.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n - n + 100*n**2 + 3*n - 135*n**2.\nAnswer: -35*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.619 + -0.381. Let p = -293.9 + 271. Let z = 23 + p. What is the biggest value in r, z, -0.8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 2*y**2 + 4. Let v be q(-3). Let t(l) = -l**3 - 4*l**2 + 6*l + 1. Let z be t(v). Sort z, 1\/6, 3\/2.\nAnswer: z, 1\/6, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/8? (a) -1\/2 (b) 2\/7 (c) -5 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**2\/3 + 289*g + 866\/3 = 0?\nAnswer: -866, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4 + s + s + 14 + 5*s. Let m(p) = -10*p - 15. Let d(r) = 5*m(r) + 7*v(r). Let f be d(-7). Solve -2*t = 4*n + f, 0 = 3*t - 0*t + 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 1\/24*a**4 + 3\/20*a**5 - 3*a**2 + 0*a + 0*a**3 + 0. What is the second derivative of b(s) wrt s?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*h + 61*h + 4*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 435594450 to the nearest integer?\nAnswer: 20871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20.15 - -24.25. Let s = 5145.9152 + -5150. Let g = s + r. What is g rounded to three decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 4. Calculate the remainder when (-9 + 2)*1*-1 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221 (base 4) to base 2.\nAnswer: 101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 848318 and 1288483?\nAnswer: 136579198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-8))\/(5\/(-300)). Suppose 0 = -4*u, -3*c + 4*u + l = 3*u. What is the greatest common divisor of 6 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -354 + 3330\nAnswer: 2976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**4 - c**5 - 4*c**4 + 2*c**5 + (2 - 2 - c**5)*(4 + 1 - 4) - 4*c**5 + 5*c**5 + 12*c**5.\nAnswer: 13*c**5 - c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -422, -839, -1256, -1673, -2090, -2507?\n\"Answer: -417*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6112032.\nAnswer: 2, 3, 63667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*r)*(-5*r**2 + 5 - 5) - 1 - r**3 + 1 as n*r**2 + x*r + p*r**3 + h and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5 + 1 = 0. Let j(t) = -2*t**2 - 4 - 2*t + 0 + t**s + 1. Suppose -120*d = -121*d + 3. Determine j(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.069028 and -27.\nAnswer: -1.863756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 84 - 196. Let i = 43 + g. Let v = i + 69.00025. Round v to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 5*i + 3*i + (0 + 3 - 2)*(0*i - i + 0*i) + 4*i - 5*i + 0*i)*(-67*i**4 + 72*i**4 - 165*i**4).\nAnswer: 800*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/170 and -93\/646.\nAnswer: 3230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 - 4*y**2 + 2*y - 1. Let t(k) = -4*k**3 + 9*k**2 - 5*k + 2. Let o(c) = 2*t(c) + 5*z(c). Is o(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z - 6. Let g be u(7). Suppose -x + g = 4*h + x, -5*h + 5*x = -5. Calculate the lowest common multiple of 11 and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.73921 rounded to 2 dps?\nAnswer: 11.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5 - g**2 - 5*g + g - 5*g**3 + 4*g**2 + g**2. Let u be p(-4). Suppose 0*z + z - 120 = -5*d, -4*z + u = 3*d. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -516772 times 0.107\nAnswer: -55294.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -26\/5 (b) 0.2 (c) -0.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of b**3\/6 + 22*b. Suppose 0 = 2*w + 2*w. Let x(u) = w - 2*u**2 + 0. Determine x(z(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 3*y**2 + 6*y. Let a be t(5). Suppose 0*d - a = 5*d. Let n = d + 48. Solve -n*i - 8 = 4*q, q + 2*i + 8 = -0*i for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = r - 11, 10 = -2*n + r - 6*r. Suppose 42 = -g - 4*g - 4*h, g + 21 = -n*h. Let z = g + 21. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-10)\/(-3))\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30136 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 less than -8.403?\nAnswer: -9.503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -z + 114, -5*x - 4*z - 61 = 33. Let k = -13 - x. Suppose r - 48 = -4*t - k, 2*r - 28 = 2*t. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t - 18*t = 64. What is the highest common factor of 8 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddddddddpddk. What is prob of picking 1 d and 1 p?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**4 + m**3 - 4*m**3 - m + 5*m = 0. What is m?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*2\/(-2)*1 - -3. Is 9 a factor of (-36 - -25)\/((2\/18)\/n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, t: 4}. What is prob of picking 2 v?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201*f = -174*f. Sort f, 4, 5, 2 in increasing order.\nAnswer: f, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3 + (21565\/(-150))\/19 and -65\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 36*c**3 + 2*c**2 - 1. Let f(k) = k - 8. Let j be f(9). Does 8 divide x(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1104*o = -1107*o - 3*g - 2*g + 32, 6*o = 92*g - 344 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 7:22 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2363987 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h + 5*h + 0*h. Is t(5) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10619260 and 110?\nAnswer: 116811860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 260 and 17319055.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-5)*y)\/y*y**5)\/((y**(5\/3)*y)\/y*y**(-1\/8)))\/((y*y\/(y\/(y*(y\/(y**(-2)\/y))\/y*y*y*y)))\/y*y*y*y**(2\/33)*y)**(-9) assuming y is positive.\nAnswer: y**(23497\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -20\/3*p**4 + 2\/3*p**3 + 3*p**2 - 2*p - 24. What is the second derivative of q(r) wrt r?\nAnswer: -160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 28 = -5*p - 33, 3*u = 4*p - 24 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 7*f**2 - 2*f - 5. Let p be h(-5). Suppose u + 3*u + 8 = 0. Let c = u + p. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 5. Suppose y = -f, -15 = -3*m + 4*f + 6. Solve -6 = -2*u + 3*o - 20, -m*u - 20 = -4*o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**4\/4 - 165*c**3\/4 + 1089*c**2\/2 + 672*c - 1176 = 0 for c.\nAnswer: -2, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1297152 or 1297151?\nAnswer: 1297151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 158 = 2*o - 3*g, -2*o - g - 316 = 0. Let a = -156 - o. What is the highest common divisor of 3 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.89 + -230.61. Let n = -241 - z. Sort -3, 4, n in ascending order.\nAnswer: -3, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b - 19. Determine a(-7).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 511 and 1387?\nAnswer: 9709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*m + 2111*m + 47562 + 84193 = 34*m for m.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 3 (b) -0.2 (c) 3\/5 (d) 36\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 371*q*r**5 - 199*q*r - q - 3*r**5 + r**4 - 2*r**2 + 24*r - 2 wrt r?\nAnswer: 22260*q*r**2 - 180*r**2 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k**2 - 5*k**2 - 2 + 3 - k**2. Let o be x(1). What is the units digit of 39\/(-5)*5\/o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 10:51 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cuxcuycxuyccuuucuc. What is prob of picking 2 x and 1 u?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 7*g = -5*g + 284, 0 = -b + 4*g + 88. Suppose f + 126 = -3*l + 8*l, -b = -4*l - 4*f. Calculate the greatest common factor of 25 and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 167127 - 280547. What is l rounded to the nearest one thousand?\nAnswer: -113000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aamkmammammmm. What is prob of picking 1 a and 1 m?\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 - 53. Let n(i) = 10*i**2 + 13*i. What are the prime factors of n(h)?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(180)*4 + -5.\nAnswer: -3 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4\/9, -12\/5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 84, 3332, 12894, 31926, 63584, 111024, 177402, 265874?\n\"Answer: 526*i**3 + i**2 - 437*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 244392.7 to the nearest 1000.\nAnswer: 244000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 43*d**2 + 425*d + 7. Let i(q) = -q**2 + 11*q - 8. What is the remainder when z(-10) is divided by i(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*l + 2*l + 20, -2*l - 10 = -4*w. What is the lowest common multiple of 18 and 12 + 0\/(w - -1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z - 5 + 2*z + 2 + 2*z. Let s(y) = 4 + 6 - 2 - 14*y. Let j = 2 - -9. Calculate j*t(m) + 4*s(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 275, 1, -5, -6008, 3 in increasing order.\nAnswer: -6008, -5, 1, 3, 275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (0 - (-2 - -6)) + -54 - (1765 - 1754)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**2 + 1 - 3 + 4 + 2*m + m - m - 2*m**2 + 1 - 2*m**2 - 1 + (m**2 + m**2 - 3*m**2)*(4 + 0 - 2) + 0*m**2 + 0*m**2 + 2*m**2 + m**2 - 2*m**2 + 0*m**2.\nAnswer: -9*m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*2*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 10*o + 20. Let t(s) = -s**3 + 12*s**2 - 11*s + 10. Let x be t(11). Let v be y(x). What is the greatest common divisor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 148641*z**4 - 10*z**3 + 8476766?\nAnswer: 594564*z**3 - 30*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7102414 - 20492078 = -53*x + 21*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 22, 4, -17 in ascending order.\nAnswer: -17, -4, -2, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q + 2. Let g(w) = -35*w - 1. Let m(o) = g(o) - 5*j(o). Let v(i) = -10*i - 4. Calculate -4*m(c) + 11*v(c).\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*w - 13*w - 11*w = 684 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 179400 rounded to the nearest one thousand?\nAnswer: 179000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-624)\/(-36) - 2\/(-3). Suppose s - 3*s = -144. What is the greatest common divisor of t and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 230 and 8\/((-288)\/(-45))*28?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2493765221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3 - 4 + 5*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4521997.040915 + -0.065.\nAnswer: -4521997.105915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 8892\/(-24)*4\/(-2) - -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2. Let r be y(6). Let a = r - 77. What is the common denominator of (5 - 4) + a\/20 and 91\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/35960 and -91\/273296.\nAnswer: 1366480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -28. Let u = 45 - i. Is u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2926 + -2923. Solve j*c = -3*i + 30, -14*i - 35 = -4*c - 17*i for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1151, 2302, 3453, 4604, 5755, 6906?\n\"Answer: 1151*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i**3\/9 + 110143718*i**2\/3 - 26224696*i - 94408904\/9 = 0.\nAnswer: -23602226, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/4)*(p**12*p)\/p)**(-3) assuming p is positive.\nAnswer: p**(-141\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 382, 0, -3.4.\nAnswer: -3.4, 0, 382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210103 - 1?\nAnswer: -210110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11246, -19596, -27948, -36302, -44658, -53016, -61376?\n\"Answer: -i**2 - 8347*i - 2898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/57 - (39\/9 - 3)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5524 + 5523. Which is the second biggest value? (a) k (b) -0.1 (c) -4 (d) 0.4 (e) 3.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2055 and -19.\nAnswer: 2036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1100)*2)**2 + 1 + sqrt(1100)) - (sqrt(396) + -5*sqrt(396) - (-3*sqrt(396))**2).\nAnswer: -22842 - 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1950054 + -6864022. Let a = -4913970.180113 - s. Let b = a + 2.18. What is b rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 4*d + 51. Let t = -844 - -835. Let r be a(t). Solve 0 = -r*j + 7*j - 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(10\/9)\/z*z*z**(-2\/21)*(z**(4\/7))**(-1\/21) assuming z is positive.\nAnswer: z**(877\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(-39*c**2 - 20*c**2 + 21*c**2)*((0 + 0 - 1)*(6*c - 3*c - 4*c) + 3*c + 1 - 1).\nAnswer: 152*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10699?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-30 + -1 + 5 + 12 - -23) + -79\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5253 at least as big as 2911?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*g + 69692 + 38669 - 22271. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 664.4 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*h - 22, -8 = -3*h + 5*v + 14. Let b(y) = 5*y**2 + y + 15. Let d be b(h). Suppose -2*i = -7 - 11. Calculate the highest common factor of d and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 8*b**2. Let j be a(-1). Let y be j\/(-2)*7\/(-28). What is the nearest to y in 2\/3, 5, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 k, and 1 n when four letters picked without replacement from xjuxnukunnjnxknjpjjn?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-202*g**2 + 909*g**2 + 5927*g**2)*(2 + 2*g - 2) to r*g + p*g**3 + v*g**2 + f and give p.\nAnswer: 13268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3145828 and 1588.\nAnswer: 1588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0.1 (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -28*d**3 - d - 1. Let k be (12\/2)\/((-4)\/(-2)). Suppose -k*r - 13 = 2*l, 5*r - r - 4*l = 16. Does 3 divide s(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3775665462?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4846*b + 4845*b - 9695*b + 16*b**2 to q*b + u*b**2 + r and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c1 + 418a?\nAnswer: 426b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2607 = -804*o + 27531 for o.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (-13 + (19 - 6)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3089420827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -150475482 divided by -6?\nAnswer: 25079247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334 + 548 = 21*u. Suppose -u*d = -46*d - 5*l + 1755, -3*d - 2*l = -1325. List the prime factors of d.\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2151, -4295, -6429, -8547, -10643, -12711, -14745?\n\"Answer: i**3 - i**2 - 2148*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 4*u - 177952, -5*u + 46121 - 135088 = -2*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 25\/((-4)\/1 + 3). Let j be (-10)\/s + 286\/10. Suppose -j = -5*t - 4. Solve t*h + 10 = 2*l, -12 = 5*h + 2*l + 18 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94966 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (6 - 11) - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.062465 + 1708.934535. Let p = 1705 - q. Let a = -4 - p. What is a rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16674516 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -5*d + 8*d. Let k be (-4*d)\/(-5) + 4. Let l be 6\/21 + (-26)\/(-7). Calculate the greatest common divisor of k and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/175 and -94\/2265.\nAnswer: 79275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 91 - 811. Calculate the highest common divisor of 72 and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16969 + -16975. Which is the closest to 0.05? (a) 0.5 (b) 9.9 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k + 47. Let g(y) = -y + 22. Give -10*g(b) + 4*j(b).\nAnswer: 6*b - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.71 (b) -2 (c) 2\/7 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = 11*x. What is the tens digit of x - (-2 + 244\/(-4 + 0))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 8*a**2 + 4*a + 2. Let x be t(-1). Suppose -x*j + 12*j = 54. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-45)\/10)\/((-4)\/8). Let f be (-2 + 12\/a)\/((-24)\/(-1368)). Sort -1\/3, f, -2\/9 in increasing order.\nAnswer: f, -1\/3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5541*k - 204971. Give j(37).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34) + 2*sqrt(68)\/sqrt(2) + sqrt(544)*-1)\/(sqrt(22)\/(-2*sqrt(275))))**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 4*m**2 + 5*m + 1. Let l be h(3). Suppose 2*r + 18 = 4*x, 2*x + l*r = 5*r + 24. Solve -x*t - 15 = -12*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50 * 179616.\nAnswer: -8980800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**3 + 0*x**4 + 0*x**4 - 5*x**4 + 6*x**4 - 6 as h*x + w + a*x**4 + l*x**2 + v*x**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 46, 23, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -4 + 3 - (1 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i - 3*i - i)*(2686 - 1372 - 2307).\nAnswer: -1986*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 6:13 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, -19, -308, -783, -1444?\nAnswer: -2291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 4 = -4*z. Suppose 0 = -4*b + z + 2. Let v = 12 - 13. Which is greater: b or v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 - 15 + 1 - 10*y + 2 + y**3 - 13*y**2. Calculate the remainder when 23 is divided by s(12).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**3 + 3*m**2 + 3*m - 3. Let z be -1 - ((-2)\/2 + -3). Let b(f) = -3*f**3 - 4*f**2 - 4*f + 4. Let q(g) = z*b(g) + 4*d(g). Factor q(o).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65\/213 + 2\/71. Let a = 1 - 1. What is the smallest value in p, a, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 611 is divided by 264?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -786*q - 787*q + 1573*q - 4*q**2 + 16752.\nAnswer: -4*q**2 + 16752","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13091 = 41*k + 12*k. Does 40 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 17*g**2 - 28*g + 22. What is l(-15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (76\/(-190))\/(-1 - (-38)\/40). Suppose h = 5*n + 6, -5*h + p + 0 = -3*n. Solve 3*f - 4*b = -h + 18, -20 = 4*b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 31*y**2 - 36*y - 249. What are the prime factors of r(-6)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 141\/21 - (-2)\/7. Let a be (-3)\/(-9) - (-188)\/3. Calculate the highest common factor of c and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1057235 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 128.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**2 - 12*a + 10. Let f be d(11). Suppose -4*p = -f + 37. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36352 and 8192.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3712502.915213 - -3804010.12491318. Let u = 91498.2097 - k. Let a = -9 - u. Round a to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -983307, -1, -3\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -64*t**2 - 8*t - 12. Let f be s(-2). Let h be 36\/f - 72\/(-14). Solve -15 = h*k + 2*o, 5*o - 20 = -2*k + k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -29*i**2 + 7*i - 1. Let d(c) = 10*c**2 - 2*c. Calculate -7*d(o) - 2*u(o).\nAnswer: -12*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 y, and 1 i when four letters picked without replacement from {v: 4, i: 2, y: 1, u: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -773.8053 rounded to one dp?\nAnswer: -773.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1085, 1082, 1077, 1070, 1061, 1050, 1037?\n\"Answer: -o**2 + 1086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - u**2 - 2. Let t be c(2). Suppose 0 = 5*r + 2*b - 18, -2*r - 6*b + 24 = -b. Calculate the greatest common divisor of t and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5105067.\nAnswer: 3, 11, 154699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a factor of 25271120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 48 = s, -j - 3*j = -2*s + 48. Let k be (s\/10)\/(2\/10). Calculate the greatest common factor of k and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6806216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103323 - -1031?\nAnswer: 111020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 184 and 56981112.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r + 3. Let k be i(-11). Suppose -k = -7*a - 4. Solve 0 = 4*v + 4*s + 4, 17 = -a*v + 4*s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -4, -7, 3183 in decreasing order.\nAnswer: 3183, 1, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8*((-3)\/(-4) + 0) and 114\/19 + -3 + 11?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z - 2*z + z + 4*z. Let t(x) = -x**2 + 5*x - 1. Let p be t(5). Let f(w) = w. Let g(v) = 5*v. Let j(n) = p*g(n) - 6*f(n). Give k(j(c)).\nAnswer: -22*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*s + 21 - 8. Let f(o) = 179*o**3 - 3*o**2 + 4*o - 1. What is the units digit of f(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 1 = -4*r + 3*r, -2*r = -3*k + 2. Let f = -5 + 8. Suppose -f*i = -k*i - 42. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (39 + -1)*(-9)\/(-6). Suppose y*h = 53*h. Suppose -25 - 41 = -11*f. Solve -p + 4*p + f = h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1359*v + 2997 - 2997)*(v - 3*v - 2*v).\nAnswer: -5436*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 7:34 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -1, 0.2, 7\/3, -14 in decreasing order.\nAnswer: 7\/3, 0.2, -1, -3\/2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30079365?\nAnswer: 3, 5, 719, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*t - 218217, -297*f - 72739 = -t - 299*f. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1429 - -1446. Calculate the remainder when (2*2)\/2 + 30 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 16*i**2 + 26*i - 26. Let k be p(-14). Suppose -6*c + c = 0. Suppose 5*q - k - 18 = c. Calculate the highest common factor of 4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*v**2 + 119*v**2 - 52*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 12*k + 25. Let l be f(11). Calculate the highest common divisor of 18 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**4 - 5*j**4 - 2*j**4)*(-94 + 703*j + 988*j + 94).\nAnswer: -5073*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 108 - 10. Let f = 0.124 - 0.362. Let w = f - -0.138. Is b less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4875720350.\nAnswer: 2, 5, 97514407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and 74426?\nAnswer: 74426.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 3 - 8. Let d = -31 + 27. What is the biggest value in c, d, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 7:13 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 7*j + 8. Let l(s) be the first derivative of s**3\/3 - 4*s**2 + 9*s + 1. Suppose -845 = -9*b - 782. Calculate b*t(h) - 6*l(h).\nAnswer: h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -v - 0*v. Suppose -4*d - 588 = -3*j, 0*j - 5*j - 4*d + 948 = v. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2063.173 millennia in years?\nAnswer: 2063173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 869247077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**4\/11 + 316*l**3\/11 - 1191*l**2\/11 + 876*l\/11 + 436\/11 = 0. Calculate l.\nAnswer: -109, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k + 2*t = 5*k + 5, -5*k = -4*t + 25. Let h = k - 1. Let n(w) = -2 - 2*w + 5 + 5*w. Let z(q) = -q - 1. Determine h*z(i) - n(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-8) + 3\/(1056\/152)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -45*n**3 - 2*n - 1. Let b be v(-1). Suppose -111*j - 270*j = -17526. What is the highest common divisor of b and j?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -94 at most -23487\/247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 155*d**4 - 148*d**4 + 1 + 6*d**2 + 0 + d**3 to m*d**4 + h*d + w*d**2 + g + p*d**3 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 7. Let o be (30\/(-75))\/(x\/10). Solve -o = h + 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, l: 1, c: 1, u: 1, t: 2, j: 1}. Give prob of sequence upjt.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154126 (base 8) to base 6.\nAnswer: -1104222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101100010010110000111 (base 2) to base 3.\nAnswer: 2201201221112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27911 = 5*z + 2*d, z + 3*z - 4*d - 22340 = 0. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -414*u**2\/7 - 418*u\/7 - 4\/7 = 0 for u.\nAnswer: -1, -2\/207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 984\/5 + -197. Sort l, -8, 2 in descending order.\nAnswer: 2, l, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2697 is divided by 205?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1903159249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002011122 + -1101?\nAnswer: -2002020000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 18 + 17 + -14?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 41 - 15*y + 9*y + 54 + 4*y. Let m be l(43). Solve -m*v + 7 = -11 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-344)\/(-6)*(-6)\/4. Let j = h - -259. Suppose 5*p - j - 502 = 0. What is the greatest common factor of 15 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -61546238, -61546240, -61546242?\n\"Answer: -2*m - 61546236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*u**2 - 56*u - 26 = 0.\nAnswer: -1, -13\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 517*p = -734*p - 617*p - 408*p + 186632 for p.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 2 - 1. Let b = x - -1. Suppose -n + 3*n = b. Solve -2*z - o - 5 = -n*o, 4*z + 4*o = -12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z. Let l(f) be the first derivative of 3*f**2 - 178. What is l(c(k))?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/1383404 and 61\/16.\nAnswer: 5533616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**3)\/(o*o\/o**(2\/11)*o)*o**(4\/9)\/o*o**1)**34 assuming o is positive.\nAnswer: o**(-14722\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.839 times 0.29?\nAnswer: -4.59331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5040)\/(-528))\/((-3)\/(-11)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) 3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 2*q + 1\/3*q**4 - 3\/10*q**5 + 0*q**2 + 0 + 0*q**3. Find x, given that w(x) = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 238 and 868?\nAnswer: 14756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**5\/120 - 4*l**3\/3 + 9. Let k(i) be the third derivative of c(i). Let a(t) = -5*t**2. What is a(k(v))?\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 9. Let y be t(-7). Let n = 0.44 + -0.24. Let s = 0 + 1. What is the closest to s in 3, y, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -h**4\/12 + 13*h**3\/6 - 2*h**2 - 6*h + 4. Let g(x) be the first derivative of z(x). Is g(9) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*u + 24 = -124. Solve -t = -5*d - 17, -20 = -u*t - 2*d + 6*d for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-28) - (105\/20 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -592*v + 594*v - 8 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2468\/6409 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 18 = 5*i, -5*z + 3*i - 2 = 2*i. Let d be ((-9)\/6 - 35\/10)*z. Solve -k = -6*k + 2*g - 19, -16 = d*k - 3*g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - z**2 + 2*z - 41. Let x = -6962 + 6962. Determine d(x).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2. Let a(n) = -37*n**2 - n. Let f(w) = 0*w + 10*w - 11*w + 0*w. Let r(x) = a(x) - 4*f(x). Calculate m(r(t)).\nAnswer: 2738*t**4 - 444*t**3 + 18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -372 plus 1047707?\nAnswer: 1047335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 2:08 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 44 - 413\/((-164374)\/17910).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -71048745 divided by -254655\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1d2a (base 14) to base 9\nAnswer: -7272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9454, -18369, -26520, -33913, -40554?\nAnswer: -46449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/51 in 5, -0.05, 124\/29?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/45)\/d)\/d*d)**0*((d*d\/((d*d**25)\/d)*d)\/d*d)\/((d*d\/d**8*d)\/d*d) assuming d is positive.\nAnswer: d**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (50400\/(-125))\/32*15\/(-9)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ten ninths of a day in seconds?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 30*g**2 + 184*g + 231. Calculate b(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by -945009?\nAnswer: 25\/945009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.3828 centuries to months.\nAnswer: 41259.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = f - 288, 4*o + 3*f - 1062 = 85. List the prime factors of o.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29695 and 2.188?\nAnswer: -64972.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/(-9) - (-4)\/6. Let p(g) = -1. Let x(d) = -d**2 + d - 13. Let s(w) = r*x(w) + 6*p(w). List the prime factors of s(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = g - 8. Suppose -g = -y - 1. Suppose -2*m + w + y = 0, m + 0*m - w = 12. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = 2*t + 14. Is t less than or equal to -82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 456 - 4109\/9. Let r = 2\/17 - 837\/34. What is the common denominator of r and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33659852 and 615729.\nAnswer: 100979556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -876 - -1517. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*h - 20. Suppose 4*v = -0*v - 12, 2*v = 5*i - 41. Calculate the remainder when i is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 84\/185 - 2\/37. Let w = 0.47 - -0.53. Which is the nearest to -0.4? (a) w (b) t (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -10*u - 5. Determine y(-4).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.062? (a) -5736\/7 (b) -4 (c) -1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*f + 83, 5*f + 0*o - 2*o - 117 = 0. Suppose 3*k + 3 = 0, 3*k + f + 9 = b. Suppose b*v + 390 = 36*v. What are the prime factors of v?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1485 = -73*y - 62*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6214*k = n + 6207*k + 24, 16 = 4*k for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -398, 0, 2, 115 in descending order.\nAnswer: 115, 2, 0, -398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 286582\nAnswer: 1146328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-36))\/((-1)\/6)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33442.949 - 33475. Let t = q + 32. What is the third smallest value in -1\/6, 2, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 8. Suppose -2*f = -m*f + 12. Solve d = f*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26650979*t**3 + 12988872*t**2 wrt t?\nAnswer: -159905874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1954 is divided by 230?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.8 - 7.4. Let n = -6.49 - -7.29. Which is the second biggest value? (a) -1\/2 (b) r (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9 (b) 57448 (c) -8 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1473432656 to 4 dps.\nAnswer: -0.1473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + -0.1. Let u = -31972 - -31971. Which is the closest to l? (a) -15.9 (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/66)\/(1385\/16620)?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 1\/31086, 6\/1141 in decreasing order.\nAnswer: 2\/5, 6\/1141, 1\/31086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/8)\/(987\/(-752)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2487 + -6808791\nAnswer: -6811278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 1237*u. Let n be t(2). Let m(s) = -s**3 + n*s + 0*s**3 - 2460*s + 8 + 16*s**2. Let y be m(17). What is y rounded to the nearest integer?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3226068, 12904284, 29034644, 51617148, 80651796, 116138588, 158077524?\n\"Answer: 3226072*m**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 1572?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 - 1130*m**2 - 23 + 54 - 5*m**3 + 1130*m**2.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 179.1303 nanograms in micrograms?\nAnswer: 0.1791303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38\/195 + 8\/39. Let t be ((-1)\/(-33))\/((-10)\/(-405)). Let q = t + -8\/11. Which is the nearest to q? (a) -2 (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 6*j + 42. Let t(g) = -g. What is l(i) + 3*t(i)?\nAnswer: 3*i + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 5*g - 3. Let d be b(5). Let q(o) = -4*o**2 + 5*o + 2. Let c be q(d). List the prime factors of c\/(-14)*(-8)\/(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -12*t**2 - 1415*t - 1415*t + 4243*t - 1413*t. Let m(z) be the third derivative of -z**4\/12 - 2*z**2. Give m(b(l)).\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eekgjgjeezgijg. What is prob of picking 1 e, 1 g, and 1 z?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 177 = -31. Suppose 0 = -2*z + 209 - l. Does 17 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1348, -2698, -4048, -5398, -6748, -8098?\nAnswer: -9448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or -2709?\nAnswer: -2709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gtggtfaaasn. What is prob of sequence tft?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 20*c**2 - 250*c + 51. Is d(31) a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 168 by 4.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 364 + -318.6. Let q = c - 46. Round q to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5900922791 to the nearest integer?\nAnswer: 1807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 399 = -10*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-64155)\/147 - 6\/(-14). Let l = 1755\/4 + f. Sort -3, 0, l.\nAnswer: -3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 13010 (base 10) to base 15\nAnswer: 3cc5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48 or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 20 = 0, -29 = -3*a - 188*d + 184*d. Calculate the highest common divisor of a and 597.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d + 525. Let g be ((-1 - -1)\/6)\/(0 + 4). Does 35 divide a(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -30*z - 912. What is o(-44)?\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a microgram in nanograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1151 and 16087851286.\nAnswer: 16087850135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -3 (b) 2\/5 (c) 3\/14 (d) 149 (e) 2 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*b**3*j**3 + 129*b**2*j**3 - 412*b*j**3 - 1 wrt b?\nAnswer: 48*b*j**3 + 258*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.74 + -1.24. Suppose 2*x = 4, -16 = 3*v - 5*x - 3. Let p = v + 1. Which is the second biggest value? (a) y (b) -3\/2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**3 - 82*a**2 - 983*a - 1901. Give d(51).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 5:13 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 87.378408?\nAnswer: -87.778408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*p - 150*p + 38*p + 32*p + 37*p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 66846502 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*j**2 + 136\/5*j + 372\/5.\nAnswer: 4*(j + 3)*(j + 31)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 151 - 32. Let h = 119 - p. Put -2\/11, 1\/4, h in descending order.\nAnswer: 1\/4, h, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + p + 5. Let l be u(0). Let s(i) be the second derivative of 5*i**4\/12 - i**3 + i. Is s(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**3 - 10*o**3 + 19*o**3 + 61*o.\nAnswer: 3*o**3 + 61*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77924804 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 780, 1554, 2328, 3102, 3876, 4650?\n\"Answer: 774*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**2 + 14453756*q + 14453757 = 0. Calculate q.\nAnswer: -1, 14453757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 5*m + 43, 4*r - 3*m = -74 + 102 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/2)*(u\/u**(2\/9)*u*u)\/u*u)\/(u*(u*u*u**(-3\/4))\/u*u*u*u**(1\/3)) assuming u is positive.\nAnswer: u**(-83\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -97\/940 - 68\/47. Find the common denominator of p and 111\/2800.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.17681 and -24260663.\nAnswer: -24260662.82319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -114 - -66. Let s = -9018 - -9017.5. Sort c, 0.5, s.\nAnswer: c, s, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2128512 is divided by 587?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -245, -6, -5, 0, 2, 3 in decreasing order.\nAnswer: 3, 2, 0, -5, -6, -245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2 + s**2 - 17\/3*s = 0?\nAnswer: -1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/(-16) - 2 - (5 - (-12250)\/(-2480))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -81*h - 31. Calculate the remainder when t(-6) is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, n: 1, l: 1, i: 1, b: 3}. What is prob of picking 1 l and 1 n?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/(o\/(o**(-2\/23)\/o)*o)*o*(o\/(o**(-16)\/o))\/o*o**(2\/35)*o\/(o\/(o*o**14)) assuming o is positive.\nAnswer: o**(25736\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5.5 and 647.1?\nAnswer: 652.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/2*3 - 4743\/(-310)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -815*r**3 + 2445*r**2 + r. Give b(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 29*j**3 - 67*j**2 + 65*j + 2. What is a(1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.808758 years?\nAnswer: 0.001808758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a - 9. Let o be s(13). Suppose -3*h + 84 = 3*t, 98 = 4*t + h - o*h. Calculate the least common multiple of t and 22.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 + -3 - (-14 - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 16*l + 11. Let v be a(-15). Let h(z) = z**2 - 2*z + 4. Let j be h(7). Calculate the highest common divisor of v and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q + 33. Let h be v(7). Suppose -7*o = h + 23. Let p(j) = -j - 1. Let s be p(o). Solve 12 = s*u - 5*z - 3, 3 = -z for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 275?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -98675\/25234 + 3\/2294. Let h be 2189\/(-55) - 2\/10. What is the common denominator of u and 290\/h - (-4 + (-1 - -2))?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*x - 3*x - 140, d + 4*x = 53. Let t(g) = -g**2 - d - 4 - 13 - 29*g - 5. What is the units digit of t(-22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**2 + h + h - 2*h**2)*(166*h - 659 + 659).\nAnswer: 332*h**3 + 332*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9434293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 232 - 98. Which is bigger: h or 133?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1382 + 1382 + 501*q)*(1 + 1 - 1)*(2 - 3 + 5) in the form s + y*q and give y.\nAnswer: 2004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f**2*y + f**2 + 3*f*v*y + 7*f*y - 35*v*y + 2*v - 12 wrt f.\nAnswer: 4*f*y + 2*f + 3*v*y + 7*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 64922, -0.4, 4 in increasing order.\nAnswer: -0.4, 4\/5, 4, 64922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -340*j**2 - 2*j + 167 wrt j.\nAnswer: -680*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34*-0.1543241.\nAnswer: 5.2470194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eekkkekeekkk. What is prob of picking 2 e?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**2*s**2 - 41*b**2*s - s**2 with respect to b.\nAnswer: -2*b*s**2 - 82*b*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(1700)*2*1 - (sqrt(1700) - 2*(sqrt(1700) - (sqrt(1700) + sqrt(1700)*-2) - sqrt(1700))**2 - (sqrt(1700) - -4*(sqrt(1700)*2 + sqrt(1700))**2)).\nAnswer: 20*sqrt(17) + 64595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10115 by 7.\nAnswer: 1445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a litre in millilitres?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (15 - 2) - (2 + 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -77 - 1?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -103117 and -0.5?\nAnswer: 51558.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*g + 8 = -83*g. Suppose 17 = 4*b - g*l + l, 4*l = -b. Suppose -7 = -v + b. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - -35) + 1\/1. What is the highest common divisor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/14946 and -89\/24.\nAnswer: 59784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.862, -1\/3, 34, -3\/13 in descending order.\nAnswer: 34, -3\/13, -1\/3, -0.862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 5:23 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence crh when three letters picked without replacement from chrrrrqrrrhrcrrqrqqr?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -0.03, -4, -1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*9.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2322 - -3133?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 8:16 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4858 and 263922037.\nAnswer: 263922036.5142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 143343279 - 143324860.2142. Let q = 18416 - j. Let m = -2.8 - q. Round m to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10763.98135 to the nearest 10.\nAnswer: -10760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((1\/4)\/(15\/100)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.12 - -0.08. What is the smallest value in a, -12, 0.6, -0.1?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 4, -89, 10, 1, -6 in decreasing order.\nAnswer: 10, 4, 3, 1, -5, -6, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (261*j + 16 + 38 - 259*j)*(-5*j + j + 3*j + (-2*j + 3*j + j)*(2 - 3 - 1) - 3*j + j + j + 0*j + j - 5*j).\nAnswer: -20*j**2 - 540*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**3 - 5*c**3 + c**3 + 2*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9342 divided by 24011\nAnswer: 9342\/24011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4\/17 - 49294*i**3\/17 - 404966640*i**2\/17 - 1108798627456*i\/17 + 1109203643392\/17.\nAnswer: -2*(i - 1)*(i + 8216)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17556600 and 600.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57709837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-169 - -1) + 4 + 0 + 2609 + -2596\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/6 and -1 + 0 - (-19)\/34.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2406760148?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1608 a factor of 58558536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1878636782 and 7441.\nAnswer: 1878644223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5345100 - 112?\nAnswer: -5345212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12431240 + -23?\nAnswer: -12431313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**4 - 3*s**4 - s**4 + (s**4 + s**4 + 0*s**4)*(-1 + 0 + 3) + s**4 + 4*s**4 - 3*s**4 - s**2 + s**2 + 2*s**4 - 95*s + 95*s - 4*s**4.\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 930 and 2015.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 53*o**2. Let a(b) = 24*b + 28. Let f(p) = -p. Let t(x) = -1. Let g(s) = 5*f(s) + 6*t(s). Let i(h) = -3*a(h) - 14*g(h). Calculate i(y(j)).\nAnswer: -106*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + g = 7, -4*l + 3*g + 1781531 = 1781528 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 418, 4, -0.07, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 6:02 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 17, 15, 8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -26342 and -26342 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 6*k**4 - 11*k**4 + 6*k**4 + 2*k + k**2 + 2*k**3 + 8 as y*k**3 + c + x*k**4 + m*k**2 + s*k and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 - 104?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)*6 + sqrt(18))*-3)\/(3*sqrt(324) + sqrt(9)).\nAnswer: -21*sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 81. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2)\/g**(2\/5))\/((g**(-1\/2)\/g)\/(g\/(g\/g**(-4\/5))))*((g*g*g**(2\/9)*g*g)\/(g**1\/g))\/(((g**(-3)*g)\/g)\/((g*(g**(4\/3)\/g)\/g)\/g)) assuming g is positive.\nAnswer: g**(437\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 5. Suppose -q*s - 5 = -4*l - 24, 0 = -5*s + 2*l + 27. Suppose -4*v = -11 - s. Solve 2*n + v = -2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2997 and 4136822?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 188\/((-14)\/(-21)*3). Differentiate 190 + 11*u - 14 - u - a*u wrt u.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -24*i. Let x(t) be the third derivative of t**4\/3 - t**2 - 1. Calculate x(r(o)).\nAnswer: -192*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(343) - (sqrt(343) + 1))*-2)**2*4*2 + -1)*2*-3 + -1.\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + 1. Suppose j*w + 35 = w. Let c be (w - -8)*1\/(-21). Is c smaller than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, -2608, 1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.842 - 0.782. What is the nearest to 0.1 in 0.5, 0.2, -0.9, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2\/7 + 84088*t + 3093471388.\nAnswer: 4*(t + 73577)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/(-2))\/((-114)\/(-152)). Calculate the greatest common factor of 24 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/5 (b) -249 (c) 0.1 (d) 48 (e) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*o - 231 + 6. What is the common denominator of o and -37\/26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.9 - 17. Let u = -2.9 + g. Is -1 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 4*y + 2*y = -2*m - 86, -m - 38 = 3*y for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 2389 + -1028. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 4\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((775\/(-465))\/(3\/((-162)\/60)))\/(21\/(-658))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -725a7 + -4?\nAnswer: -72600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4265 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(1 + (2 - 4))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 462, -485, -1430, -2373, -3314, -4253?\nAnswer: -5190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**4 + 5*w**4 - 2*w**4 + (3 - 4 - 2)*(2*w**4 + w**4 - 2*w**4))*(-637*w + 1314*w - 360*w).\nAnswer: -317*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.077 times 1532442\nAnswer: 117998.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -57, -42, -21, 6?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 23918 from -10964.20047.\nAnswer: -34882.20047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*202364326\nAnswer: 20236432.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -4*c**5\/3 - 4232*c**4\/3 - 2816*c**3 + 8*c**2\/3 + 8452*c\/3 + 1408 = 0.\nAnswer: -1056, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/(-4))\/(24\/8))\/1\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v**2 - 8*v. Let b(n) = 2*n**2 - 3*n. Let g(a) = -8*b(a) + 3*l(a). Let p = 11 - 7. Let i(x) = x - 3*x + p*x - 4*x. Give g(i(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmw when four letters picked without replacement from {w: 4, v: 2, t: 5, e: 1, m: 4}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -170409094 less than or equal to -170409094?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.362 to one decimal place.\nAnswer: 39.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**3 - 3*o**2 - 9*o - 7. Let z(a) = -3*a**3 + 4*a**2 + 7*a + 10. What is -4*x(r) - 3*z(r)?\nAnswer: r**3 + 15*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(5 - 6270\/1276). Solve 33*k = 190 - c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -7*b**4\/2 - 233*b**3\/6 + 4987*b**2\/3 + 476*b\/3 = 0.\nAnswer: -28, -2\/21, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 2*d + 1. Let m(f) = -f - 15. Suppose 5*l = -y - 32, -l = -2*y - 3*y - 4. Let o be m(l). Is 27 a factor of c(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 1:44 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (2 + 2 - 2 - 6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15014 - 15017. Sort 57\/7, 0.2, d.\nAnswer: d, 0.2, 57\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -2\/7, 4, -0.3, 782?\nAnswer: 782","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2321, 1843, 1315, 731, 85, -629?\n\"Answer: -d**3 - 19*d**2 - 414*d + 2755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 s when two letters picked without replacement from {d: 2, s: 1, n: 1, p: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**4\/5 - 158*w**3\/5 - 836*w**2 + 34200*w - 64800 = 0. Calculate w.\nAnswer: -90, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -615.\nAnswer: 3\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75.56 - 0.56. Which is greater: 0.1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6745\/51262)\/((-10)\/(-57))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**2 - 4*j**2 - 2*j**3 + (-j + 3*j**3 + j)*(-3 - 1 + 3)*(-3 + 3 + 3).\nAnswer: -11*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 - 108*t**2 - 1828*t - 1716.\nAnswer: 4*(t - 39)*(t + 1)*(t + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 3*b**2 - 3*b - 6. Let g be x(-3). Suppose -5*l + 3*d - 5 = 0, -2*l - 3*l - 3*d = -25. Solve 0 = 5*j - 4*p + l, -3*j + g*p = -5*j + 13 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 110*l**2 - 2018*l - 247. Let i be y(-126). Let u(a) = a**2 + 1. Let v(g) = -g**2 + g - 3. Determine i*u(w) + 2*v(w).\nAnswer: 3*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -1 - (298 + -279)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 137, 140, 99, -34, -307?\n\"Answer: -8*g**3 + 26*g**2 - 19*g + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220145808.\nAnswer: 2, 3, 73, 62827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -m + 1. Let v = m + 4. Solve -2*w + v = k, 2*w - 6 = -0*w + k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24080896*d**3 - 3*d - 24081327*d**3 + 2*d.\nAnswer: -431*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47080 and 951280?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -15, 2, 3, -1167 in increasing order.\nAnswer: -1167, -15, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 + -0.32. Let w = 0.315 - -0.005. Let v = w + s. What is the biggest value in -0.1, 1\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*j**3 + 13*j**3 - 2 + 56*j**2 - 56*j**2 to the form v + c*j**3 + i*j + w*j**2 and give c.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9569.5533 + 1.4467. Let c = 9578.129 - q. Let s = c + -0.249. What is s rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2, 1, 0.5, 551, -385?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**5\/7 - 12*j**4\/7 + 2*j**3\/7 + 48*j**2\/7 + 32*j\/7.\nAnswer: 2*j*(j - 4)**2*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(9\/11)\/(w**(-3\/16)\/w))\/(w\/w**(-1\/6)*w**(-15\/4)) assuming w is positive.\nAnswer: w**(2423\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(5 + (sqrt(208) + 2 + sqrt(208) - sqrt(208)))*6 + -2 + -5 + -2*sqrt(208) + sqrt(208) + -1)*3)**2.\nAnswer: 264960*sqrt(13) + 1220688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m + 7. Let n(b) = -4*b + 806. Give u(n(h)).\nAnswer: -20*h + 4037","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -426 divided by 426.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.089085 + 0.0897. What is u rounded to 5 dps?\nAnswer: 0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + n + 18 = 0, 3*n = 5*g - 0*g - 26. What is the smallest value in -2, -0.2, -2\/125, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 435511690 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*m + 3. Let z be (-4 + -1 - (-74)\/4)*-2. Let s be (-47)\/(-9) + (114\/z - -4). Solve s*u = -4*y - 8, -3 = 3*y + m*u - 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**3 + 124*k**2 + 675*k + 26093. Calculate q(-60).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + c = -10. Suppose -3*z - c*w = -35, 62 = 4*z + 3*w + 19. What is the smallest common multiple of (2\/(-6))\/((-5)\/30) and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 19 = 10*w. Suppose 3*g + w*g = -2*q + 10, 4*g = -q + 11. Solve -16 = 4*f + g*y, 0 = 2*f - 2*y + 3*y + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48*i**3*s - 4*i**2*s + 313*s with respect to i.\nAnswer: -144*i**2*s - 8*i*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*j**4\/5 + 42208*j**3\/5 - 617874*j**2\/5 + 800072*j\/5 + 292032 = 0. What is j?\nAnswer: -1, 8\/3, 13, 7020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**5\/4 + 3*j**4\/4 + 15*j**3\/2 - 15*j**2\/2 - 27*j\/4 + 27\/4 = 0.\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 234\/(-12)*4\/3. Let v = 170 - y. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*a + 13. Solve -a*k + 5 - 12 = -w, -4*w + 7 = k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/2)\/((-6083)\/(-869))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69 - -73. Let h(p) = -p**2 - 4*p - 5. Let x be h(-6). Let d = -10 - x. Solve d = -k*y - 9 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 12 - 0. Suppose -m = -b*m - 100. Does 11 divide 10\/3*(-168)\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11899, -23796, -35693, -47590, -59487, -71384?\nAnswer: -83281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + 0.2. Let i = -2.57 + 2.334. Let m = i + 0.336. What is the third biggest value in p, m, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**2\/4 - 143601*s\/2 - 861633\/4 = 0. What is s?\nAnswer: -3, 95737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.7209741.\nAnswer: -3.6048705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**4\/4 - 99*n**3\/4 + 765*n**2\/4 + 867*n\/4 = 0. What is n?\nAnswer: -1, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -6. Let v be i\/((-3)\/(-3) - 0). What are the prime factors of v - (2 - 7) - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 196*w - 195. Let k be g(1). Solve -k*p + 6*n = n - 12, -5*p - n + 30 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3235698232.\nAnswer: 2, 13, 701, 44383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -40799.7143 rounded to 0 decimal places?\nAnswer: -40800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**3 - 45940*g**2 - 5725655*g - 5679710 = 0. Calculate g.\nAnswer: -122, -1, 9311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven fifths of a microsecond in nanoseconds?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.2 and -4.3903.\nAnswer: -14.04896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 3. Let g = q - 1. Let y = g + 1. What is the closest to y in -0.1, -1\/2, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -11. Suppose 2*v - y = -0*v. Suppose 5*n - 56 = -2*a, -4*a - 2*n + 78 + v = 0. What is the highest common factor of a and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u + 10. Suppose 98*j - 168 = 74*j. Determine r(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1005)\/12 + 3\/(-12)*1. Let s = g + 97. Let i be (-4)\/18 - (-58)\/18. Solve i*x - 2 = s for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 9:24 PM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1219 and -560112315.\nAnswer: -560113534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53 + 13*m + 53)*(0 + 0 + 2*m) + 2 - 2 - 2*m**2 + (3*m - 4*m + 2*m + 2)*(0*m - m + 0*m).\nAnswer: 23*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -24*a - 34. What is the lowest common multiple of 8 and q(-3)?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (5 - 8 - 3) + 19\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 688359357 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-528)\/(-48) + -27 + (-178)\/(-756)*68?\nAnswer: 2\/189","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1191 = -7*x - 1205. Let g = -26 - 65. Let n be (-14)\/g + 0 + 0. What is the biggest value in -5, n, x, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2071*-1086\nAnswer: -2249106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-1*(10\/5)\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5325 + -1?\nAnswer: -5326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 - 3*h - 56 + 3*h.\nAnswer: h**2 - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.19 - -2.01. Let p = q - 2. Which is the closest to -0.2? (a) p (b) 1\/10 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11195.00012402 - 11195. What is k rounded to 6 decimal places?\nAnswer: 0.000124","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 263952 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: Is 272 >= 270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = b - 20, 4*b - 2*j - 27 - 35 = 0. Calculate the remainder when 158 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-21) - (-13 + -1)\/7\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 0.3068.\nAnswer: 0.2068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -811 + 803 + (0 - -2 - 0 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 5*x - 0*x - 170, 0 = -5*d + x + 158. Let t be 24\/d + (-3)\/4. Solve t = -5*q + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-3*2*sqrt(1100) - -3*(sqrt(1100) + -2)) + 1)**2.\nAnswer: 300*sqrt(11) + 9928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 835.09 + -842.3234. What is u rounded to 1 decimal place?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 16. Let d be ((-1)\/(-1) + 2)\/(-1). Let w(m) = -m. Let q(v) = -v - 1. Let g(y) = d*q(y) + w(y). Let u(f) = 5*f + 8. Give k*g(a) - 3*u(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -2*j - 2*j - 24, 0 = 4*j - 4*f + 16 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 + -67. Suppose -j*g + 4*f + 12 = 0, -3*g - f + 0*f = -14. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 0.3, 1233 in ascending order.\nAnswer: -4, -1, 0.3, 1233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 7:35 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-4))\/(1\/2). Solve a*f + 0*f = 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*t**4 - 76*t + 76*t + (-2*t**3 + 2*t**3 + 2*t**3)*(5*t + t - 5*t) + (-1 - t**2 + 1)*(t**2 + 0*t**2 - 2*t**2 + 4).\nAnswer: -22*t**4 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**2 + q**2 + 4*q**2 + (7 + 3*q - 7)*(-2*q + 3*q - 2*q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 5*o**2 - 7. What is q(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 62\/(-80) - 4\/(-10). Let i be 0\/(-3) + 1\/(-3). Let z = -997\/7 - -143. Which is the biggest value? (a) l (b) i (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -51*z**2 - 2. Let b(l) = 4*l**2. Determine k(b(h)).\nAnswer: -816*h**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times 18?\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*z**2 + 4*z - 2*z**4 - 17*z**3 - 8 - 2*z**4 + 13*z**3.\nAnswer: -4*(z - 1)**2*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in -4, 0, 1\/7, 2, 1, -254?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 1759.279.\nAnswer: 8796.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4, -0.3, -15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**3*j + c**3 - 37*c*j + 10977*c - 8*j wrt j?\nAnswer: 2*c**3 - 37*c - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/4*5\/5.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 103 + -516\/5. Let n be (-1)\/(0 - 1) + 0. Suppose 3*p + n = -8. Which is the closest to 2\/5? (a) 4 (b) p (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19523882.\nAnswer: 2, 7, 197, 7079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than -3\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wdmmdddwcdmccwdrq. What is prob of sequence wcq?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**3\/7 + 36436*c**2\/7 - 8284168*c\/7 + 2346080 = 0. What is c?\nAnswer: -9331, 2, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 11. Suppose 3*r + 37 = -y, -g*y = 4*r - 3*y + 49. Let f = 1 - r. Solve 3*t + t + 4 = -4*o, 5*o = -3*t - f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374046894 a multiple of 633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1313516 + -140?\nAnswer: 1313346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 286, 283, 278, 271, 262?\nAnswer: 251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11101100001 (base 2) to base 7\nAnswer: -5336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35910.64603 rounded to the nearest integer?\nAnswer: 35911","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81736?\nAnswer: 2, 17, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-1))\/(-24)*(-12)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 10 + 6 = g, 0 = g + 5*o - 36. What is the derivative of -13*m - 2*m - 11*m - g wrt m?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251*y = 205*y + 244 + 78. Sort -4, y, -69, -5.\nAnswer: -69, -5, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10996933253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r**3 - 19573359782 + 19573359782.\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -2*a + 32. Let v = -0.034 + 0.334. What is the fourth biggest value in a, v, -42, 3?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 28. Let u = m - 3.5. Which is the nearest to 0? (a) 6 (b) 4\/7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64991792 * -3\nAnswer: 194975376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -24. Suppose i = o + v, 4*o - 9 = 11. What is the remainder when 24 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 10\/3*b**2 + 2\/3*b + 2*b**3 - 6*b**4.\nAnswer: -2*b*(b - 1)*(3*b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t = 1081 + 1439. Let f = t - -331. Which is smaller: 124 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 368*r**5 - 414*r**2 + 2*r?\nAnswer: 22080*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u**3 + 13*u**2 - 3*u + 7. Let l(v) = -5 - 7*v**2 + 2*v + 3*v**2 - 3*v**3 - 5*v**2. Let w(b) = 7*l(b) + 5*z(b). Solve w(t) = 0 for t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 386.7588 months?\nAnswer: 3.22299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -2.1. Let v = h - -0.94. Let c = -0.15897 - v. What is c rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 226 = -5*t + 234, 8*p - t = 23 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 119 + -144 + 225 + -214.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -5. What is the closest to 0 in 0.2, -2\/5, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1278)\/(-720))\/(1\/4) and (-93)\/5*1\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -169*d**2 + 2. Let z(q) = 99879*q**2 - 1183. Give -1183*u(h) - 2*z(h).\nAnswer: 169*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 18 = -4*l, 0 = -6*l + 3*l + c + 16. Let r be (l\/5)\/((-12)\/40). Sort r, -3, -1 in decreasing order.\nAnswer: -1, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 822402, 822398, 822392, 822384, 822374, 822362?\nAnswer: 822348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.65669 to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -443.937 and -0.3.\nAnswer: 133.1811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/10 of a decade?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**11\/z*z\/(z*z**(-3\/7)*z*z))**(21\/5)*z**(1\/4)\/(z*z**(-1\/7))*z\/z**4*z**(3\/7) assuming z is positive.\nAnswer: z**(4511\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 958 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 477549977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**2\/2 - d + 1. Calculate the remainder when 6 is divided by c(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 144784\/99 and 1461 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 16, d: 2}. Give prob of sequence kdk.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + t = -5, 7*c + 3*t + 12 = 5*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39 + -17 - 38) + -6 + 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1349, -1297, -1245, -1193, -1141?\n\"Answer: 52*d - 1401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11\/14 - -23\/42. Factor -f*z + 1\/3*z**2 + 4\/3.\nAnswer: (z - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.915279 to three dps.\nAnswer: 3.915","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pkpkekkepypzzkkz. What is prob of sequence kepy?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 326956 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - 3*r - 705463*r**3 + 705477*r**3.\nAnswer: 14*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 70, -3, -116, -263, -438, -635, -848?\n\"Answer: f**3 - 26*f**2 - 2*f + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 - 30. Suppose -5*c + 55 = -4*s, -10*c - 5*s - 32 = -11*c. Solve c*p + b*p = 44 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 11*r - 16. Let y be p(12). Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 2*y = -7*w, 4*w - 2*y = 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7220 is divided by 87?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 124 or 997\/8?\nAnswer: 997\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwq when three letters picked without replacement from qqqwwwq.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23618.\nAnswer: 2, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2635402 to the power of 1\/2, to the nearest integer?\nAnswer: 1623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52998?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -16 + 20 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 737 or 5887\/8?\nAnswer: 5887\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 - 38.8. Let f = 4 - l. Which is the closest to f? (a) 1\/5 (b) 3\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51378 is divided by 5707?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + -225?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = x - 2, 5*w + 3*x + 0*x = 6. Suppose w*n = 3*n + 36. Let o = 14 + n. Solve -2*r = -2*z - 6, -2*r + 3*z + 7 = o*z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8502 - -8530. What is the remainder when 745 is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6645336\/7 or 949334?\nAnswer: 949334","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 3*q + 85. Suppose 3 = 3*z, -2*m = -0*m + z - q. Let b = m - 6. Are b and 5\/6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 7 + 3 = 0. Suppose 3*w + v + j = 4*w, -w - v + 4 = 0. Let -261*m**2 - 4*m**3 - 6 + 2*m + 2*m + 269*m**2 - 2*m**w = 0. What is m?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.20307379 and -6?\nAnswer: -1.21844274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**2)\/i*(i*i**(-2))\/i*i**(-24)*i*i\/i**6 assuming i is positive.\nAnswer: i**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 695694235.\nAnswer: 5, 47, 307, 9643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40015654.02312 + 40178062.22. Let b = 162399 - j. Let q = b + 9.2. What is q rounded to four decimal places?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -18*l**3 + l**2 - 25*l + 44. What is u(2)?\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 23*p + 44. What is u(-25)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 32 + 9 - 10 = -5*n + 4*m - 51, -4*n - 3*m = -13 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 66?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*k + 2 = 0, -10 = -4*n - 2*k + 5*k. Suppose 0 = -3*b + 5*w + n, -48 = -5*b - 2*w - 0*w. What is the lowest common multiple of 22 and b?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 63*l**2 - 66*l + 9. Let u(a) = -31*a**2 + 33*a - 5. Let g(r) = -5*j(r) - 9*u(r). What is the second derivative of g(o) wrt o?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 - 182 = -16*b. Solve -b*i + 60 = -0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3 + sqrt(1008)*1)*-4.\nAnswer: -48*sqrt(7) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 16*p**2 - 9*p**2 - 7 - p.\nAnswer: 7*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 5*n - 9, 3*q - 2*n = -3*n + 5. What is the lowest common multiple of q and (-44)\/(-20) - (-2)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 0*o**3 + 0*o - 33 + 0*o**2 - 1\/4*o**4. Solve g(d) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -36957 and -822.802.\nAnswer: -37779.802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -220 - -4?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/(-7)*30\/(-1). Let g be 318\/15 - 6\/l. Calculate the greatest common factor of g and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5*d = -d. Solve -3*h - 16 + 25 = d for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -14267, -63, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 (base 16) in base 7?\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52895?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.23 + 0.17. Put x, 0.5, 2, -4\/7 in descending order.\nAnswer: 2, 0.5, x, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f - 22*f = 13*f + f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 5:07 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 77256, 2, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82\/91 - 8\/13. Suppose -5*p = 15, 0*l + 3*p = 3*l + 126. Let r be 10\/l*(-2)\/(-4). Which is the closest to j? (a) 0 (b) r (c) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 70*h + 126. What is i(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 3 + -26 - -4\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h - 4*h + 0*h**3 + h**3 + (-5 + 1 + 1)*(0 + 2*h**3 + 0) as g*h**3 + a*h**2 + i + x*h and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - -430332163.\nAnswer: 430332149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15\/(-5) - 0) + 6. Solve -4*m = -2*h + 2, -g*h - h + 2*m = -10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6137 - -6137. Sort -343, 0.4, j.\nAnswer: -343, j, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7110, -7108, -7106, -7104?\n\"Answer: 2*t - 7112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*((-6 - -15) + -7). Sort u, 5, -2, 39, 7 in descending order.\nAnswer: 39, 7, 5, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-2)*76\/6. Suppose 1 = 5*b - h. Suppose -3*p = -p - b. Solve p*d + 0 = -4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from {a: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 + -21051.9886682.\nAnswer: -21052.0586682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - -1. Let w(i) = 5*i**2 - 346 + 346. Let r(b) = -b**2. What is c*r(u) + w(u)?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35932597?\nAnswer: 79, 454843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (56\/12 + -5)*-6. Let y be x*9\/48*12\/(-18). Let h be (0 - -1)\/(10\/(-20)). Which is the nearest to -17? (a) 4 (b) h (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + p**2 + 5*p - 2. Let y be f(3). Let t(v) = -v**2 - 6*v - 4. Calculate t(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 11) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**5\/60 + p**4\/24 - p**3\/3 + 2*p**2. Let g be i(1). Suppose -r - 1 + 7 = 0. Solve 3*h + x + r = 0, x + 2*x = g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 136 - 141. Let r = i - -15. What is the highest common factor of r and 270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*c - 39*c + 5 + 42*c + 67*c.\nAnswer: 8*c + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**5 - 3*s**5 - 2*s**5 + (-s - 5*s + s)*(5 + 8*s**4 - 5) - s**5 + 6*s**5 - 7*s**5.\nAnswer: -43*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -208, 0.4, -0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*h + 164 = 4*t, -t = 3*h - 241. Suppose -4*k = -96 - h. Calculate the highest common factor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vgvojojjjogvgvvg. What is prob of picking 1 j, 1 v, and 1 g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 187\/30 and -161\/3366?\nAnswer: 16830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*q - 30*q + 27*q - 29*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -149128151 rounded to the nearest one hundred thousand?\nAnswer: -149100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84 by 42.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -1489?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5565790 is divided by 451.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*a - 2*j = -103*a + 4, 4*j = 2*a - 32 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1249820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 1 + 27. Let u(v) = -3*v - 7. Let x be u(-8). Let a = 25 - x. What is the lowest common multiple of a and p?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -5*g + 25, 5*h - 49 + 15 = -2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 185332 at most as big as 185330?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a**3 + a**2 - 2*a - 3. What is g(-2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.098652424 rounded to 4 dps?\nAnswer: -0.0987","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, 4, -2\/7, 1\/5271?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 530820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 735095 is divided by 91881?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 6. Let h = -26 - -26. Give d(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29331481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*t - 19. Suppose 2*c = t*c + 276. Let h be (-1)\/(-2) + c\/(-8). What is the highest common factor of h and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 0. Suppose 3*l - 3*o - 36 = 0, l - o - 20 = 2*o. Let v = n + l. Solve -v*x = -5*x + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3786 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21932, -43769, -65604, -87437, -109268?\nAnswer: -131097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 104636?\nAnswer: 104633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 528, 565, 614, 681, 772, 893?\n\"Answer: x**3 + 30*x + 497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 28*5401\nAnswer: 151228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b**2 - 2*b**2 + 3*b**2)*(-2 + 236999*b**2 - 237782*b**2 - 1) to the form u*b**3 + t*b**2 + d + c*b**4 + n*b and give c.\nAnswer: 1566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = u - a, -a = 6*u - 9*u + 14 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10621?\nAnswer: 13, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4565 and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (114 - 47*v - 114)*(-3 - 1 + 2) in the form q + c*v and give c.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50414628 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 25, 10, -15, -50, -95?\n\"Answer: -5*o**2 + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*r = 468094, 3684*r = -5*z + 3681*r + 1170247. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 538, 1798, 4256, 8314, 14374?\nAnswer: 22838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1442*p**3 + 5*p**2 - 5*p**2.\nAnswer: 1442*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + sqrt(891)*2 + -2 + 2).\nAnswer: -8 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l + 376447 = -2*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6312\/60 - 1\/5 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 157979 and 157979 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.224004km to micrometers.\nAnswer: 8224004000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 21. Let s(p) = p + 63. Let w = 11314 + -11311. Give w*s(n) - 8*h(n).\nAnswer: 3*n + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 6 + 6)*(11*q**3 - 2*q**3 + 0*q**3 + (1 - 1 - 2*q**2)*(-3*q + q + 4*q) - q**3 - 3*q**3 + q**3 - 2*q**3 + q**3 + 0*q**3).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.00573 litres in millilitres?\nAnswer: 16005.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 - 3)*(-648 - 562 + 29*y + 1307).\nAnswer: -174*y - 582","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 69521 (b) 0.2 (c) 3\/2 (d) -2\/9 (e) -3 (f) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -128, 1, 23, -2\/13, 51 in decreasing order.\nAnswer: 51, 23, 1, -2\/13, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -787613556*j + 787613556*j - 2*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*v**2 + 6*v**2 - 3*v**2)*(-512279386 + 512279386 + 28226*v**2) in the form g*v + f*v**2 + k*v**4 + r*v**3 + u and give k.\nAnswer: -28226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**4\/7 + 348760*f**3\/7 + 1046298*f**2\/7 + 8*f\/7 - 1395064\/7 = 0. What is f?\nAnswer: -2, 1, 174383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -628 + 632. Suppose 0 = -b*n + 2*m - 43576 + 6648, -n - 9250 = -5*m. Round n to the nearest one hundred.\nAnswer: -9200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 70.98 from -219047316.\nAnswer: -219047386.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 806, -277, -4, 9, 38, -1.\nAnswer: -277, -4, -1, 9, 38, 806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 34.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 488*w = 494*w - 13*k - k + 46, 5*k - 16 = 2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 1. Let s(i) = i**2 - 11*i + 10. Let t(x) = -2*b(x) + s(x). Let d be t(-12). Calculate the least common multiple of d\/(-1) + 110\/10 and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 287 and 5?\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 41514874 a multiple of 1262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 9:11 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + b + 0*b)*(33*b**2 - 17*b**2 + 29*b**2) + (4*b - 4*b - b)*(-3*b - 2*b**2 + 3*b).\nAnswer: 137*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5362 and -29.\nAnswer: -155498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-3) + 5\/15. Let z(p) = 7*p**3 + 3*p**2 + 3*p + 3. Let n(s) = 20*s**3 + 8*s**2 + 8*s + 8. What is l*n(v) - 8*z(v)?\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 422830.1 years?\nAnswer: 4228.301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 2 (b) -1\/5 (c) 4 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 5 (b) -2 (c) 2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7694649073 from -0.06407.\nAnswer: 7694649072.93593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.26 + -0.1. Let l = t + -0.04. Let k = 0.7 + l. What is the third biggest value in 1\/2, -3\/5, k?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -231461, -231496, -231529, -231560?\n\"Answer: m**2 - 38*m - 231424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -163, -291, -413, -529, -639, -743, -841?\nAnswer: -933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 464267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 34670 divided by 5?\nAnswer: 6934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112301 + 101?\nAnswer: 113002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20010200 (base 3) to base 10.\nAnswer: 4473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 x when three letters picked without replacement from {x: 14, u: 5}.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 12*v**2 - 20*v - 1. Let z be m(-10). List the prime factors of (432\/40)\/(z\/(-5)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.28, -116, -2 in descending order.\nAnswer: -0.28, -2, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 170 + -179 - (-7 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 105989 bigger than 105990?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*m**3 - 11*m**3 - 16*m**3 + 51*m - 4*m**3 + 5*m**3 - 2*m**3 - 2*m**3 - 1 + 1 + (-2*m**2 + 2*m - 2*m)*(m + m - 4*m).\nAnswer: 2*m**3 + 51*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -10013?\nAnswer: 10003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k + 4. Let v be ((-12)\/10)\/((-26)\/20 - -1). Give r(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and 0.114.\nAnswer: 0.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**7)\/b**(-7)*b**(-1\/4)*(b*b**(1\/2))\/b*b assuming b is positive.\nAnswer: b**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 159763 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 18*d + 2. Let b be g(8). Let l = b + 87. Suppose -5*q + 9 = -6. What is the remainder when l is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006409 rounded to 6 decimal places?\nAnswer: 0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 51685.75 decades in months?\nAnswer: 6202290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -768 = -3*w - 783 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13205?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 - 27 + 5*f + 17*f - 21*f**2 + 23*f + 2*f**3.\nAnswer: 3*(f - 3)**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 860 is divided by 422?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4784\/5 + -57473\/60. Calculate the common denominator of (27\/(-70))\/((-24)\/(-220)) and a.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 1219000?\nAnswer: 487600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -80*u**3 + 4*u**2 - 6*u + 4. Let v be x(4). Let s = v + 7229. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -0.2. Let p = -9.7 + 10. Suppose -2*i = 3*i. Which is the nearest to k? (a) -5 (b) p (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*(((l**(2\/9)*l)\/l)\/l)\/l*l))\/l)**(2\/25)\/(l**(4\/11)\/l**(1\/8)) assuming l is positive.\nAnswer: l**(-5077\/19800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 93909727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75)\/sqrt(5))\/sqrt(3) + (6*(sqrt(15)\/sqrt(3) + sqrt(5)) - sqrt(5)))**2 + 2*-4*(sqrt(80) + 2)**2.\nAnswer: -128*sqrt(5) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 12*o - 37. Let v(s) = 140*s - 3. Calculate v(r(t)).\nAnswer: 1680*t - 5183","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11702 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*10*2\/(-5). Suppose -62 = -z + b*p, 2*z - 251 + 88 = -5*p. What are the prime factors of z?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57*b**5 + 59*b**5 + 3*b + 9*b wrt b?\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 372 - 17 = 0. What are the prime factors of a?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 387508802291522*w**2 + 278391380*w + 50 = 0.\nAnswer: -5\/13919569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -1\/4*d**4 - 9*d**2 - 1\/14*d**7 + 0*d**3 + 1\/4*d**5 + 9\/40*d**6 - 1\/16*d**8 + 0 + 0*d. Find b such that q(b) = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 448 (b) -0.8 (c) -0.2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -344*i**4 - 359*i**4 + 690*i**4 - 4*i**2 + (-i**2 + i**2 + i**3)*(-i - i + 3*i).\nAnswer: -12*i**4 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -5, -44, 53.03?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -6*c**4 - 11*c**3 + 11*c**2 - 11*c - 15. Let s(o) = -3*o**4 - 6*o**3 + 6*o**2 - 6*o - 7. Let j(u) = -6*f(u) + 11*s(u). Differentiate j(g) wrt g.\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*n - 2*b + 12 = -25*n, -27 = -4*n - 7*b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.0510311ns?\nAnswer: 0.0000000000510311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59657516 and 372?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, -3, 16\/11, -0.5, -4, -4\/19?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5505 + 5501. Let o = -9 + 8.57. Let q = -0.07 + o. Which is the biggest value? (a) 0.3 (b) f (c) 1\/4 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 9*b - 3. Let c(x) = -x**3 + 6*x**2 - 2*x + 9. Let k be c(6). Let n(o) = 0*o + 1 - 12*o + 8*o. Give k*s(r) - 7*n(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 488 - 324. Let x = -163.13 + b. Let c = -5.77 + x. Round c to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 4*u + 11796, -4721 = 6*j - 8*j - u. Suppose j + 1090 = 6*b. List the prime factors of b.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 6*o + 4. Let u be m(6). Let w = 7 - u. Is 3 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0\/i)**(-8\/5)*(i**(-1)*i)**(-38)*(i**5*i**0)**(-17) assuming i is positive.\nAnswer: i**(-417\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*c + 61, -y - y + 44 = -3*c. Suppose 3*j - y = 2*j. Does 19 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 37392, 149635, 336710, 598617, 935356?\n\"Answer: 37416*k**2 - 5*k - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4334b - 4?\nAnswer: 43347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/7)\/w**(-2\/5))**(-3\/10) assuming w is positive.\nAnswer: w**(-87\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 594, 1186, 1778, 2370, 2962?\nAnswer: 3554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 23129*r. Let u(z) = 39758750*z. Let l(m) = -6875*c(m) + 4*u(m). Let t = -15 + 31. Let o be l(t). Round o to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 1:35 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 5*l = 0. Suppose -58 = -2*m + 3*d, -3*d - d - 8 = 0. Is (l - m)\/(8\/(-12)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-1 - -2) + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 113, 227, 331, 419, 485?\n\"Answer: -c**3 + c**2 + 118*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 5*k - 67270 - 117610, -4*a + 147907 = k. What is the hundreds digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1422 - -22197\nAnswer: 22196.8578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j - 130 = -18*j. Let k = j + 40. Calculate the lowest common multiple of k and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2. Let n(o) = o**3 + o**2 + 3*o + 485. Let a be n(0). Let c(s) be the first derivative of a - 480 - 3*s**2 + 8*s**2. Determine c(g(x)).\nAnswer: 30*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kgcm when four letters picked without replacement from {g: 2, c: 1, k: 4, m: 1, b: 1}?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 6*n + 2. Let z be x(6). Let m(a) = -a**z + 10 + 7 - 11 + 7. What is m(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(306)\/(sqrt(6)*1))\/((2*sqrt(6))\/sqrt(2) + 2*sqrt(12)\/sqrt(4)).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3746 + 183?\nAnswer: -3583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -485*x - 9. What is the units digit of u(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11985773897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2945.99993095 + -2946. Round m to six dps.\nAnswer: -0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*p**2 + 849*p**2 - 385*p**2 + 1065*p**2.\nAnswer: 1732*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 9*n**4 - 69*n**3 - 94*n**2 - 36*n + 4. Let v(k) = -19*k**4 + 137*k**3 + 184*k**2 + 73*k - 9. Let i(c) = 9*p(c) + 4*v(c). Suppose i(h) = 0. What is h?\nAnswer: -1, -2\/5, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of t**3 - 3*t**2 + 485*t + 19927 wrt t?\nAnswer: 3*t**2 - 6*t + 485","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3379240 plus -0.54?\nAnswer: -3379240.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 49654\/242 - (8\/(-22))\/(-2). Calculate the greatest common factor of m and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.7 + -5. Let f = j + 0.3. Let x = -0.2 - f. Which is the nearest to -1? (a) x (b) -5 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + (sqrt(68) + (sqrt(68) - -1*sqrt(68)))*5 + sqrt(68) + (sqrt(68) - 3*sqrt(68)*-3))\/(sqrt(4) + (sqrt(48)\/sqrt(6))\/sqrt(2) - sqrt(64)*1))**2.\nAnswer: 12393\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1020 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/135)\/((-3)\/(-45)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 5*t + 528896, -396675 = -3*c + 60*t - 57*t. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -1)\/((-1)\/3). Let q = 13.1 - 2.1. Let s = q + -12. Is u bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*i**5*u - 3*i**3*u**3 - 7*i**3 + 2*i*u**3 - 420*i wrt i?\nAnswer: -260*i**3*u - 18*i*u**3 - 42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -331 + -341222013?\nAnswer: -341222344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**2 - 5*p - 4. Let l(b) = -10*b**2 - 16*b - 12. Suppose -y + 0*r = -2*r - 7, -5*r - 5 = 0. Determine y*l(g) - 16*u(g).\nAnswer: -2*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - i)*(2*i - 4*i - i) + (22*i + 29*i - 32*i)*(53*i - 30*i - 38*i) in the form d*i + q + m*i**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (417774\/(-319))\/(-42) + (-12)\/66?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*d**2 + 34*d**2 + 20*d**2)*(0 - 3*d - 2 + 2*d).\nAnswer: -31*d**3 - 62*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (2 + 6 + 16)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 + u**3 - 4*u**3)*(-2*u + 3*u - 2*u) - 12*u - 5*u + 11*u + u**4.\nAnswer: 5*u**4 - 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 q when three letters picked without replacement from qnnnnnqnnnnnn.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 1121, 31, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -70.862 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.053 - 7.653. Let l = r - 1.4. Let v = 8.97 + l. Sort -4, v, 4 in decreasing order.\nAnswer: 4, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - z - 1817, -3*w + 3002 + 2479 = 3*z. Solve -1818*u = -w*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 9*y - 10. Calculate r(-5).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/9*(0 - 5). Let g = 6 - 6.4. Let w = 0.5 - 0.5. What is the nearest to w in p, g, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of 0 - 5\/8*m**4 + 0*m + 0*m**5 + 0*m**7 + 0*m**6 + 0*m**3 - 1\/42*m**8 + 7*m**2. What is the second derivative of w(n) wrt n?\nAnswer: -160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*g = -z - 27, 0 = 2*z + 3*g - 1. Let b = 9 - z. Suppose b*r + 50 + 1 = 5*m, -4*r = 5*m - 59. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 980, 1506, 2032?\nAnswer: 2558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + y**2 + y. Let g = -10 + 13. Does 13 divide a(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 17873384.\nAnswer: 17873384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 0*p - 2\/3*p**3 + 1 - 1\/2*p**4 + 0*p**2. Factor v(a).\nAnswer: -2*a**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 6*p + 60. Let k(c) be the first derivative of c**2\/2 + 10*c - 38. Let j(r) = -34*k(r) + 6*q(r). Let m(z) = 2*z**2. What is m(j(n))?\nAnswer: 8*n**2 + 160*n + 800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-4)\/(i\/i**(10\/3))*i*i**(-1\/22)*i**(-1)*i assuming i is positive.\nAnswer: i**(-47\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12124\/72)\/(-7) - 507\/(-9126) - -66.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -12*c. Let t(f) = 7*f + 29. Let h be t(-8). Let j be (1692\/10)\/(h\/(-90)). Let k(q) = q**2 + j - 564. Give k(y(a)).\nAnswer: 144*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 5*d**4\/4 - 5*d**3\/3 + 2. Find the third derivative of p(f) wrt f.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7284\/(-607)*2\/(-12)*11?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (2 - 1) + 0. Solve u + 1 + i = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 2*c + 3*m = -67, -2*m = 2*c - 30. Suppose -2997 + 351 = -c*o. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4, 0.4, -3, 2\/3, -58, -435?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -343*k = -345*k + 6. Suppose -4*w = k*c - 54, -2*w - 4*c + 40 = -9*c. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5271, -5270, -5265, -5256, -5243, -5226, -5205?\n\"Answer: 2*n**2 - 5*n - 5268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/(-91) + 57\/(-117). Let m = -118 - -1060\/9. Let z = 0.11 - -3.89. What is the closest to m in -1, r, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 41*v - 1. Let l be z(-1). Let u be l\/(-10) - (4 + -2). Is u at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m. Let k(l) = -6*l + 3. Let r(s) = -s + 1. Let w = 159 - 160. Let g(x) = w*k(x) + 3*r(x). What is p(g(q))?\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 4. Let g be p(3). Let q(n) = n**3 - 12*n**2 + 8. Let w be q(12). Let f = -8 + w. Is g smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 88 - 83. Suppose 10*b + 284 = 5*b + 3*q, 4*b = i*q - 222. Let v = 335 + b. List the prime factors of v.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t - 60. Let a be k(34). Factor -5*h**2 + h**3 - a*h + 11*h - 2 + 2*h + h**2.\nAnswer: (h - 2)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, h: 1, i: 1, p: 2, w: 1, l: 1}. Give prob of picking 1 w and 1 b.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dpp when three letters picked without replacement from {g: 8, p: 5, h: 2, q: 3, d: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12390)\/(-34692))\/(5\/18)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-936)\/(-36)*33\/66.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(65)*-3)\/sqrt(5) + sqrt(13) + sqrt(13) + (2*sqrt(637) + sqrt(637))**2).\nAnswer: -11466 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74054 is divided by 719.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 239807598 to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i**2 + 17 + 5*i**2 - 4*i**2 - i - 16 to n + p*i + k*i**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1308 and 4?\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, m: 3, n: 1, h: 5, t: 1}. What is prob of picking 1 h and 1 m?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**2 - a**2 + 0*a**2 - 6 + 3*a**2 + 6 - 1 + 1 + 2*a**2 + a**2 + 4 - 4 + (0*a + 4*a - 2*a)*(-3 + 3 + a) + 4*a**2 + 6*a**2 - 5*a**2.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkmm when four letters picked without replacement from kmkmmkkmkkkmmm?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(10 - 9)*2\/4?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, d: 3}. Give prob of sequence db.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -12 - 14 + 24 + 4*o**2 - 442*o**3. Let z be b(-1). Find the third derivative of 473*k**6 - z*k**6 - 10*k**2 + 3*k - 3*k wrt k.\nAnswer: 3480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1\/3)\/h)**(-24)*(h**1)**(-18) assuming h is positive.\nAnswer: h**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-43 + 42 - 2*m + 0*m**2 - 8*m**2)*(-3*m - m - 2*m) to f*m**3 + u + v*m + h*m**2 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 6 = -5*a + 1, 0 = 3*a - 3*j - 9. Suppose 7 = a*s - 5. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5906 + 5947. Solve -v*a + 49*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 11*h - 192. What is k(18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -80 divided by 1\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 143*t**3 - 70*t**2 + 1 wrt t.\nAnswer: 858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwsnswwsn. Give prob of picking 1 n and 1 s.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 583314817 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 91*d - 1087. Let c be y(14). Which is greater: 2045\/11 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -4671 + 4495. Let z be 1\/(-1)*(-8 - -2). Suppose -g - 4*b = i, -4*g - 5*b - 21 = -z*g. What is the nearest to g in 5, 1\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 52*u + 3. Suppose -b - o + 7 = 0, -4*b + 11 = -2*b + o. List the prime factors of j(b).\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1374 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 -34176041 - -0.9146?\nAnswer: -34176040.0854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.785927958 - 2.7859. What is r rounded to seven decimal places?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5*u = 32, -u - 16 = z - 3*z. Suppose 5*g + 4*f + z = 0, -3*g - 10 = 2*g + 5*f. Sort -2, g, -0.3 in descending order.\nAnswer: g, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708\/590 + (-2)\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.098 and 21.86.\nAnswer: 2.14228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 68*w**2 + 2*w + 8444. What are the prime factors of n(0)?\nAnswer: 2, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/9)\/(z*z**(-4)))\/(z**(2\/19)\/z**4) assuming z is positive.\nAnswer: z**(1160\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -1, 1\/6020?\nAnswer: 1\/6020","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-28))\/((-212)\/848).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*o - 1, 0 = w - 3 + 2. Let u(z) = -3*z + 1. Let l be u(o). Let d be (-57)\/l - 6\/15. Solve 9 = -5*g - d for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -537 - -22. Let h be -1 - (-3)\/(15\/g). Let a = -65 - h. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 228370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 7 = 2*g - 11, -5*a = -g - 12. Suppose 3*m = 4*x - 62, g*m + 1 = -5. Calculate the greatest common factor of 14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 5*c - 14. Let a be x(-10). Calculate the common denominator of (-215)\/28 - (-1)\/4 and (10\/16)\/((-3)\/a).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/4)*r**(25\/6))\/(r**(-3\/20)\/((r\/((r\/(r**14*r))\/r))\/r*r)))**(-1) assuming r is positive.\nAnswer: r**(-301\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2820 - 2817. Solve m + 1 = -d for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 4*d - 10 = 0, 32 = -4*f + 14*d - 19*d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69 and 6.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6596986*y**4 + 19853*y**2 - 6*y - 1 wrt y.\nAnswer: -158327664*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 182013.15.\nAnswer: 182013.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 4*h**2 - h**2 + 5.\nAnswer: -5*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*n + 3*s = 13, 5*s = 3*n + 22. Let m be 3\/((-9)\/(-6)) + -2. Suppose 3*o - 21 = -m*o. What is the greatest common factor of o and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/14 - (-64)\/28. Suppose -3*r - 5*j = -19, n*r + 4*j + j = 16. Suppose -r*k - 46 = -2*u - 2*u, -4*u + 60 = 4*k. Is u a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/3)\/(3\/18). Suppose -2*d + 0 = -a. Which is smaller: d or -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 577 = 589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1343 and 83819.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*m**4 + 4*m**4 + m**3 - 2*m**3 + (-335 + 335 - 805*m**2)*(-4*m**2 + 3*m**2 + 2*m**2).\nAnswer: -807*m**4 - m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79154441?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -336*q + 1384. What is a(4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -438537 (base 12) to base 9\nAnswer: -2013607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51) + 2*sqrt(459))\/(sqrt(12)*1) + (sqrt(17) - (sqrt(17) - (sqrt(68) - (sqrt(68) + sqrt(68)*-1))\/sqrt(4)) - (-4 + 0 + sqrt(17))))*-2.\nAnswer: -7*sqrt(17) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -90*d. Let z(b) = -b**2 + b - 167. Determine c(z(g)).\nAnswer: 90*g**2 - 90*g + 15030","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5523*g**3 - 4*g**2 - 20*g - 5429. Let u(o) = 5522*o**3 + 3*o**2 + 15*o + 5431. Let c(a) = 3*n(a) + 4*u(a). What is the derivative of c(y) wrt y?\nAnswer: 16557*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 47827, 47806, 47771, 47722, 47659, 47582, 47491?\n\"Answer: -7*r**2 + 47834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 782 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 11*o + 3. Let k be h(10). Let z(v) = v + 12. Let g be z(-7). Let y = k - g. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7592, 7573, 7554?\n\"Answer: -19*l + 7611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 41 - 43 = 0. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -32*l + 267. Let c be p(8). Let d(m) be the second derivative of 3\/7*m**2 - 1\/14*m**4 + 0*m**3 + 0 + c*m. Factor d(q).\nAnswer: -6*(q - 1)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/4 of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*q**3 + 3*q**6 - 33*q**2 + 23*q**3 - 5*q**3 wrt q.\nAnswer: 360*q**3 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 32 = 2*q, 8 = 3*j - q + 5*q. Let r = 2 + -4. Calculate the least common multiple of j and r + 1 + 8*1.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -190 - -192. Is 285\/95 + 2\/k + 261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3873.64 litres in millilitres?\nAnswer: 3873640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/79 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.09999933 + -1.1. What is r rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 equal to 31\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 11) to base 15.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y - 32 = 31 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6007 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -379220000 rounded to the nearest 1000000?\nAnswer: -379000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 13. Suppose 0 = v - 3 + i. Let y be 3\/9 + 2\/v. Solve -4*t = -y*t - 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (4 - 16) - -19*(-2 - -1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2854308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 5*b + 4. Let i(p) = p**2 + 6*p + 5. Give 6*i(h) - 7*w(h).\nAnswer: -h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-7))\/(60\/(-840)). Sort 0, -10, -1, b.\nAnswer: -10, -1, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(-7)*g**(2\/11)*g*(g\/g**(1\/4))\/g*g*g\/(g\/(g*g**(1\/4)\/g))*g assuming g is positive.\nAnswer: g**(123\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.23 <= 9\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -17. Let s(f) be the third derivative of -f**4\/12 + 8*f**3\/3 - f**2. Let x be s(t). What is the greatest common divisor of 4 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-104)\/16*10)\/282 and -41\/940.\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211826?\nAnswer: 2, 105913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5374 + 5376. Let w = 0.009 - -3.991. Which is the nearest to -2? (a) z (b) w (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/11, 6, -5, -0.3, 0.5, 88?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(240\/(-252)))\/(12\/8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 90*m**2 - 94*m + 44. Determine u(91).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3 = 0, -5*m = -m - 4*o - 20. Let q(z) = -z**2 + 8*z - 8. Let c be q(m). Suppose c*y - 85 = -y. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21 - 3*t**2 + 21 + (-2*t**2 - 4*t**2 + 4*t**2)*(-2 - 2 + 2) + (-19*t**2 + 679 - 679)*(2 - 1 - 3).\nAnswer: 39*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 2*j - 4. Let a be n(-4). Suppose -2*h = 4*x - 12, 3*x + 0*h - 2*h - 2 = 0. Suppose x*c + 12 = 6*c. Solve a - 1 = c*d + 4*y, d + 2*y = 9 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a + 326*a + 2690 = 66*a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 620755613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + (13 - (3 - 1)). Suppose -4*j + j - 60 = 0. Let l = -12 - j. Solve -5*t = -3*r - 3*t - i, -2*r + 3*t = l for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6003 + 6004. Is d greater than or equal to 11\/235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/1637474 and -107\/68?\nAnswer: 3274948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**3 - 4*z**3 - 5*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -15*s - 11\/6*s**3 + 0 - 5\/2*s**2. Find the first derivative of p(u) wrt u.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18675 and 18675?\nAnswer: 18675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**2 - 267661820*s + 8955356235714050 = 0. Calculate s.\nAnswer: 66915455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -134 - -3616. List the prime factors of v.\nAnswer: 2, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -332 + -34121?\nAnswer: -40003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*b = 53*b. What is the first derivative of 5*a + 3*a**3 + 53 + 15 + b wrt a?\nAnswer: 9*a**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 107116 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4625291 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 15 = -u + 3*b, 2*u - 76 = 5*b. Let y = u + 49. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 48 and -1178.2481.\nAnswer: -56555.9088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 37 = -3*f, 7 = -5*f + 2*x - 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/f**40)\/f))\/(f**(-1)*f) assuming f is positive.\nAnswer: f**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1301511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*p + 6. Let z be (6 + p)\/((-1)\/3). Solve -i = z*v + 8, 5*i + 3*v + 2 + 2 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617 is divided by 302?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-494)\/(-130))\/(15\/600*8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g + 70 = 10*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2 = -2*o. Which is smaller: o or 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1185 (base 10) in base 13?\nAnswer: -702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -7*u**5 + 647*u**4 + 23909*u**3 + 35373*u**2 - 19602*u = 0.\nAnswer: -27, -2, 0, 3\/7, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 22*y + 9. Let l be (297\/(-18))\/((-3)\/(-4)). Let x be m(l). Suppose -x*q + 6 = -7*q. Solve -2*f = 4*w, 5*w = q*f + 2*f + 15 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 178362 and 369?\nAnswer: 7312842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2559139.\nAnswer: 11, 83, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145138 is divided by 177.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-2)\/4*-1). Let z(q) = 18*q**2 + q - 1 - q + 2*q**2. Is z(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 142*p**2 - 11227*p**3 - 11214*p**3 + 10 - 11209*p**3 + 33584*p**3 wrt p.\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 25*m**2\/2 + 140*m + 131. What is the derivative of l(d) wrt d?\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - m**2 + m + m - 3*m + (0 + 2*m + 0)*(-3*m + 0*m + 5*m) - m**2 - 2*m**2 + m**2.\nAnswer: m**2 - m - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - -1. Suppose -4*c + 15 = -a. Let z(m) = m - 5. Let i be z(c). Solve i = 4*h + 4, 0*q + 4*h = -2*q - 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 7, -4, 3813, 3\/2.\nAnswer: -4, -0.4, 3\/2, 7, 3813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u + 4. Let d be w(-4). Let i be (-1 - 1) + d\/(-6). What is the biggest value in 1\/7, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (17 + -6 + -7 - (-7 - (3 + -4)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42 - -32) + (12 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.8 + 2.2. Let c = w + -13.96. Let q = c - 0.54. What is the smallest value in q, 4, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 207695410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10533.2 - -10460.403. Let d = l - 0.903. Let s = -79 - d. What is s rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.042 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*j - 126*j = -63. Is (2 - (6 - -2))\/(j\/(-108)) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m - 11. Let l be r(8). Let h = l + -2. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 185 and 733303?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 126075, 126231, 126387, 126543, 126699?\n\"Answer: 156*d + 125919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -346 or -862495\/2491?\nAnswer: -346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-2))\/((-1)\/2). Let l be -4 + 5 - c*50. Let p be (-4)\/(-14) - 1456\/l. Solve -5*w + q + p = 0, w + 2*q = -0*w - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*o = 125*o - 23425. List the prime factors of o.\nAnswer: 5, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -336*w + 1360. Let m be n(4). Solve 3*x = -x - m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t**3 - 27*t**2 + 3*t + 12. Calculate the remainder when 895 is divided by a(7).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 214*k. Let c(b) = 15*b. Give d(c(a)).\nAnswer: 3210*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/4 - 300\/(-16). Let u = r - 6. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 6*a - 123. Suppose 0 = -2*n + 5*v - 4*v + 5, n + v = -5. Suppose 4*w - 16 = -c, 3*w + 3*c - a - 2 = n. Solve -w*z = -6*z + 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 12:10 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2184 = 146*h - 149*h. Let p = 168 + -56. Calculate the highest common divisor of h and p.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 4*x = -8, 0*x = 5*x - 15 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a - 16. Let k(l) = -2*l**2. Determine k(q(h)).\nAnswer: -2*h**2 + 64*h - 512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 36. Let m(d) = -d**2. Give m(h(r)).\nAnswer: -r**4 + 72*r**2 - 1296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 129195, 258390, 387585, 516780, 645975?\n\"Answer: 129195*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015955005 to 6 dps.\nAnswer: -0.015955","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -189.6 * -0.4\nAnswer: 75.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 594295.\nAnswer: 594295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/33 in -0.036, -0.31, 1, -3\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2\/13 (b) -7 (c) -82 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19269116 to the power of 1\/3, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 32. Let w = 11 + -7. Suppose -w*n - 48 = -244. Calculate the remainder when n is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, h: 4, z: 3, t: 1}. What is prob of sequence tz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**4 - 333*l**3 + 10491*l**2 - 63495*l - 171666 = 0.\nAnswer: -2, 11, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5737 (base 10) in base 16?\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 48\/5 of a tonne?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 250*g*r*u - 56852*g*r + 3*g*u - 6*r**2*u - 293*r**2 - 300*u wrt u?\nAnswer: 250*g*r + 3*g - 6*r**2 - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**6\/21 - x**4\/14 + 1. Factor y(o).\nAnswer: 2*o**3*(o - 1)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of 1\/3*v**3 - 1\/24*v**4 + 0*v + 0 - 1\/30*v**5 + 46*v**2. What is h(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18492864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 705 - 336. Let t = v - 342. What is the highest common factor of 396 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32115280?\nAnswer: 2, 5, 61, 6581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**4\/17 - 9026*c**3\/17 - 81348*c**2\/17 - 217024*c\/17 - 8512 = 0?\nAnswer: -4, -1, 4522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of m**4\/4 + m**3\/3 - 3*m**2\/2 - m + 118998. Suppose 0*t - 2 = t. What is i(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1201.\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a252 (base 11) to base 8.\nAnswer: -123613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**6\/10 + 9*o**5\/20 - 3*o**4\/4 + o**3\/2 - 4*o + 2. Let v(s) be the first derivative of u(s). Find d, given that v(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4232022 (base 5) in base 2?\nAnswer: -10001010011100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 738 a factor of 538740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.2 and 145?\nAnswer: -899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y**2 + 3*y. Calculate n(3).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 3. Let h = g - -5. What is the units digit of (-1)\/h*(-27 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) + sqrt(600)\/(-2*sqrt(10)))\/sqrt(12) - (sqrt(35) - (sqrt(875) - sqrt(875)*-2 - sqrt(875)))\/sqrt(7).\nAnswer: 19*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76051514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 2314 = -286. Is 20 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6080 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -15. Let l = -60 + 59.944. Let b = 0.356 + l. Sort -2\/9, 0, b, a.\nAnswer: -2\/9, 0, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4729, 7540, 10351?\n\"Answer: 2811*m + 1918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 126*g. Let i(t) = 63981*t. Calculate k(i(f)).\nAnswer: 8061606*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(208) - (sqrt(39)*-1)\/sqrt(3) - ((2*-1*sqrt(117))\/sqrt(9))**2.\nAnswer: -52 - 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - v - 10, -49*v + 52*v = -3*u. Solve 4*i = i + q + 10, -u*q = -3*i + 11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(4\/(-4) + 0 - 1). Find the third derivative of 13*x**2 - 516*x**5 + 491*x**5 - x**4 + x**s wrt x.\nAnswer: -1500*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -113, -434, -919, -1526, -2213, -2938?\n\"Answer: 7*f**3 - 124*f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w + 1. Suppose 4*c - 20 = 3*n - 0, 0 = 4*c - 20. Calculate u(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(119)\/sqrt(7) - sqrt(85)\/(sqrt(5) + sqrt(5)*4 + sqrt(5)) - -3*(sqrt(34)\/(sqrt(12)\/sqrt(6)))**2*6.\nAnswer: 5*sqrt(17)\/6 + 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 73 = -0*c + 3*c, -g = c - 25. What are the prime factors of c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 74? (a) 9\/5 (b) -2\/15 (c) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -421542233 - 3?\nAnswer: -421542236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9845*z**3 - 9853*z**3 + 19697*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107117 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 10:19 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3760*p = -3756*p - 3*l - 117, -5*p + 145 = -4*l for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 2*u**2 + 1. Suppose 2*y = 3*y - 7. Suppose -13 = -3*w - 2*o, -2*w + 3*w - y = -2*o. Does 5 divide z(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4194069114?\nAnswer: 2, 3, 12007, 58217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2\/11, 4, 8\/3 in ascending order.\nAnswer: 2\/11, 0.2, 8\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 p when two letters picked without replacement from {n: 12, p: 1}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.647 - 8.17. Let d = 0.5 + j. Is d less than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-75)\/(-39) + -2). Suppose -4*z + p = 3*s - 106, s - 30 = -z. Calculate the remainder when z*(1 + 2 + -2) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -386106 (base 9) in base 6?\nAnswer: -5003440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/90 and -15*(-26)\/(-65) + 21\/(-10).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z - 4. Determine i(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 2*d - d)*(4*d**2 + 0*d**2 - 5*d**2 + (-3 + 3 + 2*d)*(523 - 54*d - 523)).\nAnswer: 218*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 4:17 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 149 = 1004. Suppose -703 + 394 = 3*h. Let b = j + h. Is b a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 619096559 to the power of 1\/2, to the nearest integer?\nAnswer: 24882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.19 and 0.37.\nAnswer: 1.1803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1991872803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 12*k + 13. Let m be n(13). Let w(t) be the first derivative of -1\/10*t**4 + 4\/15*t**3 - 1\/5*t**2 - 1 + m*t. Factor w(f).\nAnswer: -2*f*(f - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-2))\/((-4)\/(-1 - -5)). Let s(q) be the second derivative of -1\/3*q**3 + 0 + 3*q + 0*q**c. Let t(y) = 3*y**2. What is s(t(g))?\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) 1\/18 (b) 2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(3*i + i - 5*i)*((13 - 10 + 7)*(-1 + 5 - 3) - 2 + 1 + 4).\nAnswer: -26*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 13623449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 153420076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 22*g**2 + 25. Let n be b(22). Suppose n*s = 4*s + 5056800. Round s to the nearest ten thousand.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -964*h - 8*h**2 + 197*h**3 + 274*h - 58*h**3 - 118*h**3 wrt h?\nAnswer: 126*h - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62 + -90. Let q = s + 28. Suppose -3*u + 8*u - 25 = q. Solve 9 = -u*x - 16 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 161*a**2*v**3 - a**2*v**2 + 1014*a**2*v - 2*a*v**3 - 5*v**3 wrt v.\nAnswer: 966*a**2 - 12*a - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d + d - 3*d + (2*d - 3*d + 0*d)*(4 - 2 + 0) - 4 - 3*d + 4 + 1.\nAnswer: -4*d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - -1)*2\/2. Solve 3*y - 15 = 0, 4*m - 8*y + 15 = -o*y for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8 - -7 - -6*3. Let p(k) = k - 25. Let g be p(w). Suppose -f = -3*h + 2, -3*f = -2*h - 3 + 16. Does g = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 27422172 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-91 - (0 + 0 + 3)) + (-2222 - -2211).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 less than 2770?\nAnswer: 2740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 3. Let x be v(5). Suppose y - 3*y - x*h = -8, 5*h = -20. List the prime factors of (y\/(-12))\/(4\/(-54)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4\/3 + -5\/6. Let y = 7 - 3. Suppose -k = -3*k + y*a - 28, a + 8 = -2*k. What is the second smallest value in l, k, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 divided by -12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 15, 4, -1 in increasing order.\nAnswer: -1, 3, 4, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 796 = 4*z. Suppose 0*u - w = -5*u + z, -5*u = 3*w - 203. What is the remainder when u is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 14. Let b = -158 + 470\/3. What is the closest to f in -8, b, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((3\/(-9))\/(10\/(-6)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.6 and 25179767 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 963.4022 centuries in months?\nAnswer: 1156082.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*n. Suppose -d - d + 4 = n. Let l = -50 + 45. Sort l, -3, d in descending order.\nAnswer: d, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*b - 21 = 0. Let o = -10 - b. Calculate the remainder when o is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 80.70796ml?\nAnswer: 0.08070796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 5*d - 1 + 22*d - 3 as x + p*d and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -5 (c) 3\/7 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**9\/g**(-8))\/(g**(-8)*g*g**(-8)*g) assuming g is positive.\nAnswer: g**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 10 = 0, -37*g = -41*g - 3*v + 7837. What is the hundreds digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5300\/3 - -1782. Find the common denominator of -37\/11 and p.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, h: 4, j: 1, q: 2, d: 3, p: 1}. What is prob of sequence dhjq?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -85\/354?\nAnswer: -85\/354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.91 + 0.09. What is the second biggest value in -0.4, -0.3, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 10:55 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -153591 less than -153596?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + 1 + sqrt(2))*-4.\nAnswer: -36*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 14*b**2 + 2*b - 1. Let s(n) = n - 1. Let c(j) = h(j) - 6*s(j). Let k be c(10). Let q = -118 - k. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.144+-0.1502\nAnswer: -0.2942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.02 + 1.32. Let g = -0.9 - -0.8. Let x = g + 0.04. What is the third smallest value in -1\/2, m, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-189441)\/62)\/(-97))\/(3\/4)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 e, 1 p, and 1 w when four letters picked without replacement from {c: 1, e: 3, w: 2, p: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49324510.82 - -277.59.\nAnswer: -49324233.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, 48387.72, 12\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.23308214 to 3 decimal places.\nAnswer: -0.233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 95.06632 years?\nAnswer: 0.9506632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of f**3\/6 - f**2 + f + 29. Let s(u) be the first derivative of z(u). Calculate s(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**2 + 132*w + 685 = 0?\nAnswer: -5, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 0*l - 60. Let d(x) = -2*x**3 - 4*x**2 + 32*x + 79. Let o be d(-3). Solve -8*q - o - l = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10409 (base 10) to base 13.\nAnswer: -4979","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -11. Suppose 5*o - 30 = -5*g, 4*o - 3 = 7*g - 4*g. Put -2\/49, f, o in decreasing order.\nAnswer: f, o, -2\/49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412175 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 8 - 7*p - 8 + 15 + 9. What is the smallest common multiple of 62 and m(3)?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 275 - 193. Does 24 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.994 + 2.006. What is the nearest to -2\/5 in i, -3\/5, 3, -301?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 121 + -123. Let c(r) = -2*r - 4. Let j be c(o). Solve j = -3*b + 2*z - 0 - 15, -2*z + 20 = -4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from {i: 1, o: 2, v: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 34 = -w + 8, 3*w + 34 = -5*b. Let o = b - -9. Let r(y) = o + 0*y + y - 6*y + 2*y. Determine r(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - q - 3*q to b*q + c and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 w when two letters picked without replacement from iiajjwmmaimm?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 9 = 30. Let m(k) = -29*k**2 + 11*k**2 + v*k**2. Let w(d) = -2*d**2. Calculate m(w(j)).\nAnswer: -20*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 343*p + 5825. Let n be w(-17). Let t(k) = -22*k - 29. Give t(n).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 580*n + 3996. What is h(-7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000022893 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 2, e: 8, p: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8759579.\nAnswer: 8759579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*y = 39*y. Suppose 11*b - 10*b + 2*i - 1365 = y, 0 = -b + 4*i + 1353. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d + 33. Let x be 9 + (-12 - (11 + -9)). Let p(y) = 2*y - 16. Determine x*p(g) - 2*h(g).\nAnswer: -2*g + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/9 of a day in minutes?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.5 + -16. What is the closest to 2\/7 in w, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9707 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11419 + -11414. Let n be (-4)\/(-18) + (-38)\/9. Put 0, p, 1, n in ascending order.\nAnswer: n, 0, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4082233614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: a43 (base 15) to base 5\nAnswer: 33223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 266307158 and 13182.\nAnswer: 4394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/109 and -51\/11.\nAnswer: 1199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {k: 1, x: 2, y: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -44, -22, 18, 88, 200?\n\"Answer: 2*t**3 - 3*t**2 + 17*t - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6468, 5440, 4368, 3252, 2092, 888, -360?\n\"Answer: -22*g**2 - 962*g + 7452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/5*(-15)\/(-6). Suppose 4 + n = 3*i. Suppose -i*t + 4 = -4. What is the remainder when 11 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.02 from 41869455300.\nAnswer: 41869455299.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 450 = 40*q + 770. Put 2\/11, q, -2\/295 in decreasing order.\nAnswer: 2\/11, -2\/295, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/(-8))\/(-3))\/(-1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25701342 is divided by 12850665?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56*l - 4*l**2 - 481*l**3 - 609*l**3 - 2231*l**3 + 4*l**2 - 23 wrt l.\nAnswer: -19926*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -367*j - 245451 + 253158 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrdv when four letters picked without replacement from vrdldvrvdrnvvnvddv.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 - 6*h - 35*h + 49877 + 8*h.\nAnswer: 2*h**3 - 33*h + 49877","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1100011 (base 2) to base 3\nAnswer: -10200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104658 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 27, -3 in descending order.\nAnswer: 27, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 6 + 5)*(4*q - 3*q + q)*(-4*q - q + 0*q - 2)*(q + 2*q - 4*q) as y*q**2 + c + j*q**3 + f*q and give y.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3841 + 3847. What is the third smallest value in -0.1, -0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -354*d**3 - d**2 - 44*d - 84. What is the tens digit of l(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 213 (base 6) to base 12\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.01903232 to one decimal place.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 2)*(-351)\/(-54). Suppose -4*u = 9*w - g*w + 32, -3*w = -4*u - 21. Let v(p) = -3*p + 8. What is v(w)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60340 + -1.3.\nAnswer: 60338.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8911578 or 8911600?\nAnswer: 8911600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i + 2*i - 4*i + 1 - 5*i + i + 3*i + (1 - 2*i - 1)*(-4 + 6 - 3) + 83*i + 71*i - 191*i.\nAnswer: -33*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 26710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -3*o - 9, 3*j + 5 = -2*o + 18 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -1. Let g(z) = -3*z**2 + 0*z**2 + d*z**2. Let u(m) = -1576*m + 778*m + 788*m. Give u(g(t)).\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1248 divided by 127845\nAnswer: -416\/42615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (150\/225)\/((-10)\/75).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 60\/13, 14 in descending order.\nAnswer: 14, 60\/13, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -71, -53, -35?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2101008 and 2028?\nAnswer: 2101008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**8\/6 - f**4\/12 - 11*f**3\/6 + 557*f**2. Find the second derivative of l(t) wrt t.\nAnswer: 1120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3 - 3 - 2 - h - 1. Let l be b(-7). What is the second derivative of w**l - 2*w - 3*w**4 - w**4 wrt w?\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74384319, 148768634, 223152949, 297537264?\nAnswer: 371921579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 - -75. Let l(x) = 6*x**3 + 20*x**2 - 75*x - 4. Let n be l(4). What is the greatest common divisor of n and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**2 - 2*m**2 + 11507603 - 11507606.\nAnswer: -2*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33\/518 or 1?\nAnswer: -33\/518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from nooo.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -20, 0.5, -1\/2, 11, 6\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 0.3004958?\nAnswer: -1.502479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1834.9 - -31.\nAnswer: 1865.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 10, n: 2, j: 4}. Give prob of picking 1 n and 1 z.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -365 by 1002283.\nAnswer: -365\/1002283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 58, -110, -0.1, -46?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(2 + 54\/(-4)). Let k = q - 27\/46. Which is the nearest to -1? (a) -1 (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 747 - 12697\/17. Which is the nearest to -0.08? (a) n (b) 5 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 5) in base 3?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-27))\/((-24)\/9 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -h**5 - 8*h**4\/3 + 22*h**3\/3 + 28*h**2 - 12*h + 4. Determine z so that r(z) = 0.\nAnswer: -2, -1, 7\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -178?\nAnswer: 1\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6126*k - 6128*k + 2 = -2*g, -k - 4*g - 24 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065000 rounded to the nearest 10000?\nAnswer: 1070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 478*g + 14962 - 1121 = -3845 for g.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -454*l - 5*l**2 + 3*l**2 + 3*l**3 + l**2 + 2*l**2.\nAnswer: 3*l**3 + l**2 - 454*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 518 - (-3 - (-3 + 2)). Let w be k*((-3)\/2 - -2). What is w rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 26 = -3*t. Suppose 0 = 4*v - 3*v. Let i be (-2 - v)\/2*-15. Solve 6*m = -4*r + m + 11, t*m = i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1171, 2933, 5285, 8221, 11735, 15821?\n\"Answer: -p**3 + 301*p**2 + 866*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5091*m**3 - 2*m - 5093*m**3 - m + 3*m**2. Let x(z) = -4*z**2 - 71*z + 2*z**3 + 37*z + 38*z. Give 3*x(t) + 4*y(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -22*r**3\/15 - 916*r**2\/15 - 746*r\/5 + 312\/5 = 0?\nAnswer: -39, -3, 4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three fifths of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-18))\/z)\/z**(-5\/7)*(z\/z**(-1\/5))**(-5\/6) assuming z is positive.\nAnswer: z**(-121\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -8 + 5 + 9 + 1\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - -5*(-2*sqrt(68) + sqrt(68)) - sqrt(68) - sqrt(68)) + -3*(sqrt(68) - sqrt(68)*-3))\/(-1*sqrt(576)*5 - sqrt(576)*-2*4).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + -2*(-6)\/(-12). Let b(l) = -14 + l + 15*l + l**w - 22*l. What is b(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3662, 17135, 39586, 71015?\nAnswer: 111422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 4*t + 0*t)*(2 - 5 + 4)*(-t**2 + 3*t**2 + 3*t**2) - 6*t**3 - 20*t**2 + 20*t**2.\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 609600 by -10.\nAnswer: -60960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 37866?\nAnswer: 1\/12622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 859906 and 5159436?\nAnswer: 5159436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from getgjqeeqhq. Give prob of picking 1 e and 2 q.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 257*p + 322. What is the remainder when x(0) is divided by 87?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -342 divided by -19?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97 = 2*p + 5*x, 110 = 4*p - x + 125 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1166*w - 144*w**3 - 631*w**3 + 3566*w.\nAnswer: -775*w**3 + 2400*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174156, -348310, -522464, -696618, -870772, -1044926?\nAnswer: -1219080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bm when two letters picked without replacement from {m: 1, b: 4, o: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1254 divide 12946363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 5, 3\/52, 3, 4, -7?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -290, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5527 is divided by 751.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -731*p + 764*p + 3*p**3 + p**3 in the form c*p**2 + r*p + q*p**3 + i and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 40*((-6)\/4 + 2) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/2243 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/4 and -89\/407194?\nAnswer: 814388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 537121.3 nanometers?\nAnswer: 0.5371213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111 + 10110?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.477003 to 3 dps.\nAnswer: -2.477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**2 + 1\/100*a**5 + 0*a**3 + 1\/40*a**4 + 0 + 0*a. Factor k(q).\nAnswer: 3*q*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 704684 is divided by 9272.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -17489.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22416485*4.\nAnswer: 89665940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-422)\/(-844))\/(13\/(-4)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -7*b + 177. Let z be j(13). Suppose -z*v + 84*v = -150. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 greater than or equal to 111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (207\/(-78) - -3)*(-76)\/(-57)\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u = -252733 + 252373 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lltttlltlltlcttlltll. What is prob of sequence tll?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -161 + 64 - 126 - 24 + 6 + 15*h. Let i be z(16). Sort -22, 7, i, 5 in decreasing order.\nAnswer: 7, 5, i, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 2*p - 3 = 15, 2*p = -5*k + 26 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/70 and 11\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 21 = -s, 0 = 4*f - 2*f + 5*s - 14. Suppose 5*d - 77 = 4*d. Calculate the highest common divisor of d and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 21*i**2 - 5*i + 9. Let y be -4 - -12 - (-1 + 0). Let x(c) = -10*c**2 + 2*c - 4. Suppose 218*j - 390 - 482 = 0. Calculate j*t(u) + y*x(u).\nAnswer: -6*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -x**6\/9 + 23*x**4\/12 + 8*x**3 + 3*x + 243. Let a(t) be the third derivative of h(t). Differentiate a(f) wrt f.\nAnswer: -80*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r + 6. Let i(p) = -5*p + 5. Let n(o) = -3*i(o) + 2*v(o). Let c be n(3). Let d = c - 16. Solve -3*x = -d*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*h = 67*h - 1085. What is the remainder when h is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -663 - -658. What is the second smallest value in d, 0.7, -37?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -31, 4, -2\/5, -0.19, -89?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*w - 11 = -3*n, 4*w - 12 = 4*n. Let l be (3 - 1)*n\/19. Suppose 0 = -5*i - 0 + 5. Is l >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7752871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 0*k**3 - 8*k**2 - 3*k + 0 + 3 + k**3. Let u be p(9). What is the highest common factor of 513 and u?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = k - 5*k. Suppose -60 = -r - 4*w, 4*w + 35 = 2*r - k. What is the greatest common factor of 32 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*x - 70, 52 - 20 = i + 4*x. Solve 12 = -6*f + i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*i - 135*i = -31*i + 10302 for i.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8337137 is divided by 3097.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.21 less than -3.2?\nAnswer: 3.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/269 or -7939?\nAnswer: -1\/269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 4:20 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*m - 7 = 0, 5*g - 3*m - 6 = 3. Suppose 0 = 3*o - 7*o - 56. Let p = o - -18. Solve g*y - 16 = -p for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2108452 by -527113.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 6*i**2 + 7*i - 7. Let t be 4 + 0 + 1 + 0. Let o be y(t). Suppose m + 74 = 4*w, -2*w + 6*m - o*m = -32. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 20 (b) -5 (c) -2\/9 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408196817.\nAnswer: 7, 19, 223, 13763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 147296365361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 21*d**2 - 24*d - 48. What is f(-22)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*n + x + 102 = 0, 3*n + 3*x = 72. Suppose -3*d - 12 = -n. Solve -d*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/1044 and 131\/8882352.\nAnswer: 8882352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5698)\/(-4) + 1)*-2. Let b = 85511\/30 + w. Find the common denominator of -74\/15 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(280\/(-20))\/14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10882.\nAnswer: 2, 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 32, 99, 212, 371, 576?\n\"Answer: 23*z**2 - 2*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -9*l - 5. Let g(y) = y**2 - 2*y - 1. Let v be g(3). Let k be 7*(-1 - v - -2). Is 13 a factor of z(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82264.\nAnswer: 2, 7, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 308 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1952 and 19154.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12526493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c - 6. Let a be b(0). Let h(s) = -1 + 2*s + s + 0*s - 2*s. Give h(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and 830?\nAnswer: 69720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 16. Let x = t + 14. Find the third derivative of 0*o**2 + 2*o**5 - 3*o**2 + 0*o**5 + 0*o**x wrt o.\nAnswer: 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29694 and 21210?\nAnswer: 148470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/8 at most 0.297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 0*f + 180 = -5*f, -2*x - 5*f + 37 = 0. Suppose -6*i = -7*i + x. Suppose 4*w - i = 25. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*n + 2*n + 3*n)*(-3 + 2*n - 3 - 3).\nAnswer: 4*n**2 - 14*n - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 29955 from 0.17.\nAnswer: -29954.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -2*y + 34, -2*y - 628*r = -625*r - 38 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1dd (base 15) in base 11?\nAnswer: -364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 - (-5 + 4 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (15\/65)\/(-32 + 29)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -0.5, -5, -300, 6.\nAnswer: -300, -5, -0.5, -2\/7, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 4*q**2. Let t be p(4). Let h be (-1 + 1 + -1)*t. Suppose -4*c - c + 5 = h. Let y(x) = -5*x**2 + 1. Calculate y(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 473607 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 9933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + w**2 - 1. Let z(o) = -o**3 - 8*o**2 - 12*o + 23. Let p(k) = -2*c(k) + z(k). Let s be p(10). Let j = s + 430. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 3*x + 25, -5 = -4*l + 9*l + x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*o**5\/11 + 1570*o**4\/11 + 2084*o**3\/11 + 952*o**2\/11 + 144*o\/11 = 0. Calculate o.\nAnswer: -9, -2\/3, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64562 is divided by 272?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17078*m**2*o**3 - 4*m**2*o**2 + 105*m**2*o + 2*m**2 - 37*m*o**2 + 1921*o**3 + 4*o + 2 wrt o.\nAnswer: 102468*m**2 + 11526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 18512, 6 in descending order.\nAnswer: 18512, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2\/r**(-6))**(-2\/7)\/(r**2*r**4*r*r*r\/((r*(r\/(r\/r**(-2\/9))*r)\/r)\/r*r)*r**(-2\/9)) assuming r is positive.\nAnswer: r**(-72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + ((-13699)\/63)\/19?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -991*v - 6246. Calculate i(-6).\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.701365*24.\nAnswer: 16.83276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -46*m**2. Let q(d) = -182*d**2 - 9*d + 1. What is q(l(n))?\nAnswer: -385112*n**4 + 414*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68*a**3 - 4*a - 70?\nAnswer: -408*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2766\/9 + (-10)\/(-2 - -32)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.86 - -0.46. Let r = -6.4 - y. What is the closest to 2\/5 in r, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 615416687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 7*o**2 - o + 5. Let g be y(7). Let m(c) = -c + 1. Let i be m(g). Let n = -2 + i. Let a(j) = 3*j**3 - 1. Calculate a(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 5*t - 5*h - 20 = 0, 0 = -4*t + h + 22. Solve -10 = t*p + 4*x, 1 = 4*p + x - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55927, -55925, -55923, -55921, -55919, -55917?\nAnswer: -55915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -378743168 by 2958931.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 3:26 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334 is divided by 108.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**2 - 251*c - 2640 = 0?\nAnswer: -240, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56 + -17. Let u be 3\/6*-3 - f\/(-6). Suppose 14227 + 325773 = -u*k. Round k to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -668282+188591.1966\nAnswer: -479690.8034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a factor of 32640504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1405129 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21057048 divided by -3?\nAnswer: -7019016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.412428*21.3.\nAnswer: 8.7847164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 4*p - 24, 360 = -2*u - 3*p + 353 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16714456 and 162586072?\nAnswer: 1788446792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 522287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (100\/(-12))\/(1\/(-3)). Suppose w = -3*b + 4*b. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w - 519 - 3443. Let z = 589 - w. Calculate the remainder when z is divided by 20.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -z**4\/4 + 8*z**3\/3 + 3*z**2 - 14*z + 75. Let y be 4 + (-3)\/3 + 2. Does 9 divide u(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288251 is divided by 108?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2\/1489, -0.2, -1\/8 in decreasing order.\nAnswer: 0.1, -2\/1489, -1\/8, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -8. Let x = 8 + b. Suppose -x*r + 8*r + 4*a = 0, 4*a = -3*r. Solve 3*i - 2*d - 5 = 0, 0 = 4*i - r*d - d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2535349 and 98575?\nAnswer: 3943","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 71 = 6*c. Let y(z) = -z**2 + z. Let j(a) = -4*a**2 + 5*a + 24. Let v(w) = j(w) - 6*y(w). Calculate the remainder when c is divided by v(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17171 + 17503. Which is the second smallest value? (a) j (b) 1 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 + 189*k - 15876.\nAnswer: (k - 63)*(k + 252)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2*w**2 + 2)*(-1 - 2 + 1) - 907*w + 907*w + 131*w**2 + (w - 3*w + 0*w)*(4*w - 5*w + 2*w) as a + h*w**2 + u*w and give h.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**3 - 9*i**2 + 16*i + 66. Calculate a(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 235450 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 1129*h**2 - 2227*h - 30388. What is n(1127)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, 6\/29, -1\/2, -1, 1\/4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 12, 28, -1\/3, 5, -2\/7?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxaaaaxa. Give prob of picking 3 a and 1 x.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -12*c**3 + 188*c**2 - 772*c - 988. Let r(o) = -4*o**3 + 63*o**2 - 257*o - 329. Let d(i) = -16*r(i) + 5*w(i). Factor d(a).\nAnswer: 4*(a - 9)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y - 4*y - 5*y**2 + 6*y + 6*y**2 - 2*y**3 - 3 to the form t*y + m*y**3 + k + n*y**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 5*b - 2. Let k be i(-3). Suppose -9*q + 4*q + 65 = 5*l, -55 = -k*l - 5*q. Solve -5*c + 0 = 5, -3*d + l = 2*c for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 0*l**3 - 6*l - 7 - 2*l**2 - 4*l**2. Let w be g(7). Suppose -3*q - 3 = -w*q. Let u(t) = -t. Calculate u(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 442, 5, 1891.\nAnswer: 5, 442, 1891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -1) + 3 + 0 + -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 2758051 and 2758070 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 - 2*p + 3. Suppose -42 = 8*h - h. Let r be (h - 105\/(-40)) + 3\/8. Let t(n) = -1. What is r*t(c) - x(c)?\nAnswer: -2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -23906940 divided by 5\nAnswer: -4781388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4373.7 - 4374. Suppose -5*y = 20, -4*x + 4 + 0 = y. Which is the third smallest value? (a) x (b) 0.2 (c) u (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 1. Let g(b) = -2*b + 53. Determine -g(z) + 2*q(z).\nAnswer: 2*z - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dde when three letters picked without replacement from ggdgdde.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 71*s**2 + 94*s + 3692. What is t(73)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 3468?\nAnswer: 3468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 4*t + 36, -2*j - j = -3*t + 36. Let i be 3\/j + 1018\/8. Let c = i - 75. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 246487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 993432?\nAnswer: 2, 3, 11, 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -614 + 45. Suppose 3939 = 4*n + 3*c, 4*c - 563 = -n + 425. Let b = n + l. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/4, -1\/3, 1\/486?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*i**2 + 5*i**2 - 3*i**2)*(13*i - 13 + 13) + (-12 + 5*i**3 + 12)*(-23 + 10 + 0) to the form m*i**2 + x + d*i + t*i**3 and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/2*(2\/1)\/10.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 4:56 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-6 - (9 - 20)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 66\/(-110) + (10052\/20 - -2). Calculate the highest common divisor of v and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - -1) + 4 + 0. Let y be -4 + (1 - 0\/d) - -3. Solve -j + y = -1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, -1\/14, -5, 2?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12847 - 225109.66.\nAnswer: -237956.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 16, -72, 56 in increasing order.\nAnswer: -72, -3, 16, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -441 + 497. What is the remainder when 445 is divided by r?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 10:19 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 57.31391 centuries?\nAnswer: 5.731391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 87*(-2)\/(-3) - 2. Let u = -50 - -64. What is the greatest common divisor of u and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-8)*x**2*x)\/(x\/(x*x**(-15))*x*x*x**(1\/4)) assuming x is positive.\nAnswer: x**(-89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*t - 217*t - 208*t - 212*t - 220*t + 1070*t.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.9 - 1.4. Let i = j - -0.9. What is the second smallest value in -0.4, i, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 495 divided by 9?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*j**3 + 2*j**4 - 11 + 17*j**3 - 2*j**4 - j**4 to b*j + r*j**3 + v + i*j**2 + s*j**4 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184489145 divided by 656545.\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14990.\nAnswer: 2, 5, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -502*j**2 + 4*j - 16*j**5 - 462*j**2 - 14*j**6 - 5*j + 1003*j**2 + j**5 wrt j.\nAnswer: -1680*j**3 - 900*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/25)\/((378\/35)\/(-6)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2309 = 70*f - 1679 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14713 - -651?\nAnswer: 15364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert ab1a8 (base 16) to base 2.\nAnswer: 10101011000110101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 34*m**2 + m + 2. Let c be d(-1). Let j be ((-301918)\/4540)\/((-98)\/c). Let o = j + -1\/1589. Find the common denominator of o and 3\/50.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 650 = -z + 11*z. What is the greatest common factor of 117 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in six fifths of a millisecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or -1\/274?\nAnswer: -1\/274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -17*l. Suppose 42 = z + 7*m - 2*m, 0 = 5*z + 4*m - 105. Let s(u) = 5*u - 17 + z - 4*u. Give s(c(t)).\nAnswer: -17*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2018 - 2016. Let n = -20 + 23. Solve n*s + 15 = -b*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27848.1*0.07\nAnswer: -1949.367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*y - 78*y**2 + 242*y**2 - 36*y.\nAnswer: 164*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a factor of 168640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40707423?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m + 66160 = 66355 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 7*w + 37. Let s(j) = 3*j + 18. Let c be (-2336)\/(-384) - 2\/24. Let h(v) = c*a(v) - 13*s(v). Calculate h(10).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 2*p - 19, 5*i + 5*p - 4 - 36 = 0. Let m = 0.01 - 0.01. Which is the third smallest value? (a) m (b) i (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 1.5. Let s = 1 - p. Let b = -1.1 + 0.2. What is the third biggest value in -2\/7, b, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1319713 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -672 + 676. Let z = 2 - -1. Let n = -0.2 + 0.26. What is the nearest to n in z, 0.4, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooow when four letters picked without replacement from ooowowowwoo?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 37*s + 35*s = 92944, 3*f - 69723 = -s. List the prime factors of f.\nAnswer: 17, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.17 + 8.83. Let v = 7 - h. Let s = 0 - v. Which is the second smallest value? (a) -5 (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttkkttmb. What is prob of picking 1 b and 1 m?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 10 + 10*m)*(m + 2*m**2 - m + (-2*m - 1 + 1)*(2*m - 6*m + 3*m)).\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 79 divided by 125\nAnswer: 79\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -7*p**4\/30 + 2*p**3\/5 + p**2\/5 + 45*p + 2. Factor b(d).\nAnswer: -2*(d - 1)*(7*d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (468\/(-16))\/(-13)*13984\/1311?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-3))\/2*-3. Let o be 1*(-3)\/(-9)*0. Suppose 0 = -o*q - 7*q - 35. Sort -1, q, m in increasing order.\nAnswer: q, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + a + 21 = -52, 2*o + 2*a - 126 = 0. List the prime factors of o.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -50 (b) -1\/3 (c) -6 (d) 26 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 520752 (base 9) to base 12\nAnswer: 12a985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 21134420?\nAnswer: 21134420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/110?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-12)\/24*(-1631 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1*(-2 + 1) + 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7440, 7421, 7390, 7347, 7292?\nAnswer: 7225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 l when two letters picked without replacement from {q: 1, l: 10, w: 4, c: 3}?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**2 - 10260*n = 0 for n.\nAnswer: -2052, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 5*q + 2*d, -q + d + 14 = -0 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -84 + 109. Factor -7 - 5*v**2 - 10 + x*v + 0 - 13.\nAnswer: -5*(v - 3)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8432628?\nAnswer: 2, 3, 23, 30553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zk when two letters picked without replacement from {z: 1, k: 1, q: 2, g: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (4*sqrt(288) + sqrt(288)) - sqrt(800))**2.\nAnswer: 12482","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 4*z + 37. Suppose -41*w + 42*w - z = 0. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 35*d - 372. What is the remainder when 2879 is divided by h(-9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3 + 5215342*w**2 - 3400013136848*w + 50999023607520 = 0.\nAnswer: 15, 1303828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002523 rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/b**0)*b*b*b\/(b*b**(1\/6))*(b**3)**40 assuming b is positive.\nAnswer: b**(731\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3 - 12 + 6 + 3*w. Let v be j(2). Sort v, -5, 4 in increasing order.\nAnswer: -5, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**4 - 132*k**3 - 1588*k**2 - 5532*k - 6192.\nAnswer: 4*(k - 43)*(k + 3)**2*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*p - 285*p + 169*p.\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16c249e - 0?\nAnswer: -16c249e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.14 + -1.86. Let u = k + -2. What is the closest to 2 in -0.1, u, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)*f)\/(f**(-2)\/f*f) assuming f is positive.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -15. Let t(c) = c + 13. Let q be t(-10). Suppose -3*z = x - q. Sort 5, -1, z in descending order.\nAnswer: 5, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(((a\/a**(3\/4))\/a)\/a))\/a)\/(a\/a**(3\/2)) assuming a is positive.\nAnswer: a**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-3)\/3*110\/(-385)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 2*x - 24. Suppose 0*q = -4*q + x. Suppose -f = -q*f + 26. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 554016.\nAnswer: 2, 3, 29, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f**2 + 2271*f + 18*f**2 + f**2 - 2275*f.\nAnswer: 8*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 9*j + 16 = 0. Suppose -j*v = -7*v + 12. Solve 4*s - 24 = -v*c, -3*s = 3*c + 2*s - 22 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(-32563 + 3*k**4 + 32561 + 5*k**4).\nAnswer: 8*k**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -9*y - 39. Suppose 0 = 32*z - 28*z + 20. Calculate the remainder when 91 is divided by j(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 1) + (78 - 58) - 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/2 + 8774*t - 38491538.\nAnswer: -(t - 8774)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12595 is divided by 4161?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k + 2. Give r(-4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 c when three letters picked without replacement from {b: 5, c: 9}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 plus 86706.89?\nAnswer: 86809.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200 + 177 - (-40 - 0).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a micrometer in nanometers?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*h + 970371 = 249652. List the prime factors of h.\nAnswer: 31, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 782 = 881. Does k = -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/8 and 91\/559788.\nAnswer: 1119576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**5 + 10350*p**4 - 145704*p**3 - 748224*p**2 = 0. Calculate p.\nAnswer: -3464, -4, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -36 (b) -1\/38 (c) 1\/4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1824 is divided by 59?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-94)\/(-1974)*6\/8.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 3*h - 1374 = -1245, 3*k + 5*h - 127 = 0 for k.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9847 - 20627. Let w = l - -105874. What is w rounded to the nearest 1000?\nAnswer: 75000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 42.9, -6, 0.2, 1.1 in descending order.\nAnswer: 42.9, 3, 1.1, 0.2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 17*j**2 - 42*j - 41. Let w be b(-19). Suppose 6*f = -f + w. Solve 0 = -5*r - 0*r - f for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 652\/(-46) + (456\/532)\/((-2)\/(-14)). Which is smaller: i or -7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -336852 + 336854. Suppose 8 + 31\/2*h - 1\/2*h**3 + 7*h**i = 0. What is h?\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3*sqrt(2793)*-5 - sqrt(2793)))\/((-3*-4*sqrt(363) + sqrt(363))*-5).\nAnswer: 98*sqrt(19)\/143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 160146825?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -248 - 158 + 129 - 46*z + 16*z - 16*z wrt z.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 + 30. Let h = 103\/12 + -28\/3. Which is the third smallest value? (a) h (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/6 + -1)*3. Suppose 0*n = n - v. Let p(o) be the third derivative of 7*o**4\/24 - o**3\/6 + 4*o**2. What is p(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2330.4 - 2330. Let w = 10.046 + -10. Which is the third smallest value? (a) x (b) w (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 12)\/(1 + 124\/(-116)). Let f = 292\/33 - 5573\/462. Calculate the common denominator of f and n\/44*12\/(-12).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 67 = 5*l + 6*l, -l + 4*i - 1378 = -1391 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 536451?\nAnswer: 3, 178817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2) + 40\/(-16) + 0. Let m be (-6)\/(-15) + (y\/5 - -2). Solve -f = f - m, 3*l + f = -8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83\/630 - 1\/90. What is the closest to -2 in -5, 10, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*u**4 - 30*u**4 + 78*u**4)*(-9 - 10 - 6)*(-u + 0 + 0).\nAnswer: 575*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11 + (-168)\/(-14))\/(-1 - 0). Suppose 0 = 5*i - 2*i - 33. Put -4, i, k in decreasing order.\nAnswer: i, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-4)*(4 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40524634?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 584693 is divided by 330?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + b**2 + b + 5. Let q be (-3 + 4)\/(3\/6). Let d be p(q). Solve 0 = d*j - 2 - 13 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.186 - 20.844. Let z = -25 - r. Let y = z - 0.12. What is y rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -7*d**2 - 3*d + 3. Let g = 16 + -19. Let p(u) = 20*u**2 + 8*u - 8. Determine g*p(h) - 8*x(h).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -69537 or -66739?\nAnswer: -66739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.1, 2, 1\/5 in ascending order.\nAnswer: 0.1, 1\/5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 10:22 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**3*z**(-3\/4)*z*z\/z**(2\/5)*z**1\/z*z*z assuming z is positive.\nAnswer: z**(117\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2\/22)\/(20104\/(-82929))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5353 divided by 260?\nAnswer: -5353\/260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27149781, 54299558, 81449333, 108599106, 135748877, 162898646, 190048413?\nAnswer: 217198178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2666*g - 1259*g - 1331*g = -1672 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 6*r**2 + 2*r + 19. Let i be z(-6). Let l be (-2)\/i + 528\/770. What is the closest to l in -82, -4, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 5.3. Let v = 4\/47 - 106\/141. Which is the closest to -2\/5? (a) v (b) 2\/5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -4*v - 502. Let s = v + 163. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37 and 1073?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-1)\/((-15)\/(-10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w**2 + 10*w + 25. Calculate x(-5).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z + 23. Let n be x(-18). Solve -6*o + 4*o = -n*c - 13, 10 = -4*c + 2*o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 6 - 3)*(-2 + 5 - 1) + 6 - 4 - 1)*(-6*y + 63 - 63)*(-11 + 0 + 2).\nAnswer: -54*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by -62169.\nAnswer: 22\/62169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.0243774 - -45907039\nAnswer: 45907038.9756226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**2 + 315*t - 463. Give j(156).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -83 + 263. Let b be h\/(-27)*(-117)\/5. Calculate the greatest common factor of b and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -7*f**2 + 16*f**3 - f**2 + 3*f - 2*f**5 + 3*f**5 - 5*f**5 + 8*f**4 - 15*f = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**4*a*a**(2\/23))\/(a\/a**(-1\/3))**(-34)*(a*a\/(a\/a**(1\/9))*a\/a**(3\/5))**3 assuming a is positive.\nAnswer: a**(18959\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -624 + 1031. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 11 (b) 0.1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 4:24 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xsvssxgxsxxsssxsssx. What is prob of sequence vxss?\nAnswer: 35\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*q = -6, -q = 2*q + 12. Let k(z) = -z**2 + 3*z - 3. Let x be k(n). What is the nearest to x in -0.05, 2\/3, 2\/7?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-2 - 3) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 - 195*x.\nAnswer: 5*x*(x - 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 102.4832 - 0.0832. Let a = -128 + m. Let z = -25 - a. What is the second biggest value in z, 2\/5, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {n: 4, x: 15}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 4*a - 7 = -2*l, 13 = a - 4*l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2353008 divided by -1974\nAnswer: 1192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 547003?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2. Let f(b) = -140*b**2 + 23*b - 23*b + 215*b**2. Calculate f(t(l)).\nAnswer: 300*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -0.1 (c) -81 (d) -0.01 (e) 309\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2*1\/16*2\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)*v*v\/(v*v*v**(-2\/29)\/v*v)*v)\/((v\/v**7)\/(v\/v**(-2\/5))) assuming v is positive.\nAnswer: v**(648\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/n**(-4))\/n)\/(n\/n**3))\/(n**(2\/3)\/n)**(-38))\/(n\/(n*(n**(2\/9)\/n)\/n)*n\/(n**(1\/2)*n))**(1\/10) assuming n is positive.\nAnswer: n**(-1223\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58614869 - 1583123435\/27. Let i = t + 19330. Find the common denominator of -56\/9 and i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2101305?\nAnswer: 3, 5, 19, 73, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 692490835?\nAnswer: 5, 17, 263, 30977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0353 * 3569.\nAnswer: -125.9857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 5858788?\nAnswer: 29293940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 11*j**2 - 7*j + 2. Let f be g(10). Let w(c) = 13*c - 20*c + 2*c + f*c. Let o(d) = -4*d**2. Calculate o(w(t)).\nAnswer: -2916*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*15*3\/27?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 533879 to the power of 1\/2, to the nearest integer?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148\/(-38) + -192 + 40180\/205.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 1:46 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 67356 and 11?\nAnswer: 740916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 13*k + 108. What is the least common multiple of q(15) and 260?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57930 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*h**2 - 15*h**4 - 164*h**2 - 100*h**2 - 54*h - 96*h**3 = 0. What is h?\nAnswer: -3, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4533 - 1271 = 3*a, b - a - 819 = 0. Suppose -13*y + b = -3798. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -245*z**5 + 140*z**4 - 20*z**3.\nAnswer: -5*z**3*(7*z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.5 - -4. Let l = -216 - -3670\/17. Sort -0.1, m, l.\nAnswer: m, l, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.0143 to 2 decimal places.\nAnswer: 3.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yvyglvlvvgygggyvllyg. Give prob of sequence lyvv.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23131 (base 4) to base 12.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 787159 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 8:22 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**3 - 21*j**2 - 3*j + 21 = 0. What is j?\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 equal to -101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.027154 plus -7.8282645?\nAnswer: -7.8554185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -905, -1863, -2807, -3731, -4629?\nAnswer: -5495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -m**5\/60 + m**4\/12 - m**3\/6 + 5*m**2\/2 + 3*m. Let k(c) be the first derivative of r(c). Factor k(w).\nAnswer: -(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14768, 19480, 24192?\n\"Answer: 4712*z + 10056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2445 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 c = -0.15 - -0.14981. Round c to 5 dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1250\/30 - 4\/6. Let s = 62 - j. Let l = 45 + s. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 3975183451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17056*f + 4744*f - 18882*f + 5667*f.\nAnswer: -25527*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/21 and -57\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5707 = -7*r + 1979. Does 46 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 1011*l**2 - 20615*l + 22. Determine r(20).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 323, 717, 1269?\nAnswer: 1979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*b**3 - 197*b**3 - 54*b**3 - 22 + 49.\nAnswer: -334*b**3 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u**2 + 82*u + 486. Let q be w(-5). Let d(t) = t**3 + 10*t**2 + 9*t + 5. Let b be d(-9). Solve 0 = 3*s + 2*r - 9, -s = 3*r - q + b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 2:18 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -17*y + 19. Is f(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -3*u + 5*x, -5*u - 2*x + 15 = -x. Let a = u + 35. What are the prime factors of a?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16548 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2)*-1)\/((-450)\/37200*-62)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 10*w**2 + 4*w**2 + 5*w**2 to the form x*w + h*w**2 + g and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 19447, 77936, 175417, 311890, 487355, 701812?\n\"Answer: 19496*d**2 + d - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 8*m + 12. Let y(n) = -1. Let c(p) = 5*p**2 + 5. Let f(k) = -c(k) - 4*y(k). Let x be f(-1). Let z be v(x). Solve z*u + u = -3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1250))**2.\nAnswer: 1255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 16.27, 0.8, 3\/4 in descending order.\nAnswer: 16.27, 0.8, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402410385?\nAnswer: 3, 5, 13, 59, 89, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1411.18 rounded to the nearest ten?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 22, 42, 82, 148, 246, 382?\nAnswer: 562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -9*w + 11. What is the remainder when b(-11) is divided by (-2)\/(-20) - 2790\/(-100)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 - -22. Let p = c + 17. Sort 3\/8, p, 4 in increasing order.\nAnswer: 3\/8, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 3 + 0 + 8. Solve -2*c = r, -3*r + q = -2*c - 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - ((-1 - 1) + 8 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 305*p + 44220. Determine f(-145).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -843*d**3 + 2*d**2 - 3*d + 9. Let r be t(9). Let w = 416403 + r. What is w rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1537 - -1541. Put -40, b, 1 in increasing order.\nAnswer: -40, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 25. Let t be h(15). Solve 4*z - p = -z - 19, -2*z = -p + t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 11*n**2 + 5*n - 11. Suppose k - z - 5 = 0, -5*k + 2*z + 20 = -8. Let f(v) = -24*v**2 - 12*v + 24. Let c(m) = k*f(m) + 13*w(m). Determine c(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 48, 82, 122, 168, 220?\nAnswer: 278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 3*w**4\/4 - 7*w**3\/3 - 3*w**2 + 30. Suppose v(q) = 0. What is q?\nAnswer: -2\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15870 - 15517. Calculate the highest common factor of 3 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -154, -453, -1078, -2191, -3954, -6529?\n\"Answer: -27*s**3 - s**2 - 107*s - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -26. Suppose 0 = 4*t - 3*l - 23, -t + 2*l + 12 = -0*t. Put t, 1, u in decreasing order.\nAnswer: t, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 965.8135ml?\nAnswer: 0.9658135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 29503 = 3*g + 5952, 4*g - 31397 = o. Is 17 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3899*d**3 - 56*d**4 + 3899*d**3 + (-2*d**3 - d**2 + d**2)*(2*d - 2*d - 2*d).\nAnswer: -52*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = d + 3*d. Let a = 28 + d. Factor a - 43 - 3*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 636\/(-106) - 1*(-3 + (0 - -2)). Let d(w) = -3*w**3 - 4*w**2 - 6*w + 4. Let r(m) = m**3 - m**2 + m - 1. Let y(g) = d(g) + 2*r(g). Give y(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338868 is divided by 139.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 7*t**2 + 76*t + 58. Calculate i(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7 - 2*2\/4. Let w be 4\/o + (-7)\/(-2). Let v(r) = 3*r + 2. Is v(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l - 17 - 24 + 39 + 8*l**2 + 150*l - 9*l**2 to z*l + r*l**2 + g and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -283.53 in 1, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -39. Which is bigger: t or -37?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 11. Let d = j + 28. Solve 0*w = 5*w + 20, -h + d = -4*w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-4 - (6 - 14)) + -11 + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z - 7. Let c(h) = 3*h - 3. Let l(i) = 5*c(i) - 2*u(i). Let s be l(10). Let j = -7 + s. Calculate the highest common divisor of j and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(-1 - 4 - 1)*((3*a**2 - 2*a**2 - 3*a**2)*(4*a + 0*a - 6*a) + 4*a - a**3 - 4*a).\nAnswer: 18*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.4310733 to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167 = 53*m + 4*k, -11878*k - 6 = -11875*k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 3. What is the units digit of r(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from ccccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t**4 - t**3 + t**3)*((-1 + 0 - 1)*(-4*t + t + 2*t) - t + 3*t - t).\nAnswer: 18*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-143)\/(-66) + 2 + (-26)\/12. Suppose -2*z - 2*n + 274 = -0*n, -i*z + 275 = 3*n. Does 34 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*c - 62*c - 6 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5904.2 - -5904.20026949. Round x to 5 dps.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04 - 3.16. Let a = 10 + -7. Let d = r + a. Which is bigger: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1100005\/10 + 1\/(-2). Round u to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*x = -10, 3*d = x - 3*x + 10. Let s(y) = y**2 - 5*y - 9. Let j be s(-2). Let b = j + d. What is the least common multiple of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7660 times -0.901?\nAnswer: -6901.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c + -34?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368*i**2 + 401*i**2 - 1184*i**2 + 400*i**2.\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 a, and 1 i when four letters picked without replacement from {i: 2, s: 4, a: 12, m: 1}?\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 427022 is divided by 2440.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -23113300 (base 5) to base 3\nAnswer: -101112101201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) + sqrt(25)*-1*-2 + (sqrt(275)*2 - sqrt(275))\/sqrt(11))\/((sqrt(20) + sqrt(60)\/sqrt(3)*-3)\/(sqrt(36)\/(1*sqrt(9)))).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 4:53 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, -6365, 0.\nAnswer: -6365, -8, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 4. Let h be (-3)\/((-18)\/33)*2. Let u(j) = h + 0*j + 0*j + 3*j. Let n be (-8 + 11)*(0 + -1). What is n*u(o) + 8*q(o)?\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 64902737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - j - 104 = 0, 9 - 4 = n + 5*j. Let o = n + -76\/3. Let w be -1 - ((-1)\/1 + 3). What is the nearest to o in 0, -0.1, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3925 - -11461\/3. Let s = p + 105. Which is the nearest to s? (a) 1 (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -152 + 279. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**2 - 2*y + 1 + 3*y**2 - 4*y**2 - y**3. Let h be (-80)\/32 - (-308)\/88. What is b(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 5:44 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 1358065*r. Let y(g) = 2*g**2. Give x(y(b)).\nAnswer: 2716130*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 138\/42 + (-4)\/14. Suppose 4*l = z - 17, -2*l + y*l - z = -8. What is the third smallest value in l, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 - 2529*w - 655824.\nAnswer: 3*(w - 1051)*(w + 208)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -61 (b) -6 (c) 0.02904\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*(-3 + (-684)\/(-20)). Let g = -100 + 295. What is the highest common factor of g and n?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2470937*l**2 - 1079422*l + 1?\nAnswer: 4941874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -0.21?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 95 = -3*q. Let t be 8*-1*q\/4. Calculate the greatest common divisor of 19 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (-2*sqrt(3) - sqrt(3)) + 5 - (4 + sqrt(3) + 0))**2 + (-2*sqrt(21))\/sqrt(7) + sqrt(3) + 1 + sqrt(12)\/sqrt(4).\nAnswer: -6*sqrt(3) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.2 + 8. What is the third smallest value in m, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 871*l**3 + 17635*l**2 + 163*l**3 - 17635*l**2.\nAnswer: 1034*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 12 = -4*k, -4*g = 4*k + g - 13. Suppose 3*y = k*y. Let i be 1\/(-5) + 6\/5. Put -4, y, i in descending order.\nAnswer: i, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -222?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100635 + 76430 = 7*k. Suppose -5*s = 11 - 21, -5*s + k = 5*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (116\/1392)\/(71\/45156).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-767350\nAnswer: -383675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 13 (b) 17 (c) -3\/13 (d) -0.1 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 248, 2, -5, 0.\nAnswer: -5, 0, 2, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 47*(-2 - -5) - (2 - 1) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -2\/953, 4, 5, -0.2?\nAnswer: -2\/953","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 1\/7, 2, -1, 2\/1343, -4, -1\/33?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1372879*y + 191500?\nAnswer: 1372879","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24138.68*-7.\nAnswer: 168970.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15740 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -313786 (base 9) in base 6?\nAnswer: -3555340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {m: 6, x: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 486276?\nAnswer: 2, 3, 7, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -400.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w + 16*w + 9*w.\nAnswer: 25*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143213 is divided by 28432?\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w - 19. Let z be y(7). What is the greatest common divisor of 72 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3 = 1. Let r(a) be the third derivative of -1\/6*a**3 + 0*a**4 - 1\/20*a**5 - a**o + 0*a + 0. Find the first derivative of r(x) wrt x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) 0 (b) -76\/13 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*u + 2. Suppose 4*m = s - 8, -2*s = -u*m + 6*m - 4. What is the third derivative of -9*c**2 - s*c**5 - 4*c**5 + 21*c**2 wrt c?\nAnswer: -480*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104064831.\nAnswer: 3, 13, 37, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14, -107, -298, -565, -914, -1351, -1882, -2513?\n\"Answer: -r**3 - 29*r**2 - 27*r + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93239985 is divided by 10359998.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*y**5 + 15*y**2 - 123*y**6 + 37*y**5 - 68*y**5 wrt y.\nAnswer: -14760*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v - 8. Let l be r(-6). Suppose 3*u - u = -l. Let k(h) = h + 5. Let m(f) = 2*f + 9. Let t(g) = 5*k(g) - 2*m(g). Calculate t(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-2 + 1)*-68. Let y = v - 49. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*l = 0. Suppose -5445 = -5*y - q, l = 4*y - 5*q - 6243 + 1858. What is y rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = k - 9. What is the highest common divisor of k and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*p + 8 = 0, 3*f - 11 + 3 = p. What are the prime factors of (4 - 6)*(-14)\/f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 5:47 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 4*o - 2*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 4*c - 16 - 7, 2*c = -3*k - 11 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 + (-160 - -105) + -1 + -6 + 1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {f: 3, g: 1, u: 3, z: 3, b: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + -48 + (22 + -5 - -8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of 2*n**3\/3 - 14*n + 3. Let k(x) = 217*x + 63. Let d(q) = 7*q + 2. Let t(o) = 63*d(o) - 2*k(o). Calculate i(t(g)).\nAnswer: 28*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*-2*sqrt(108)*-1)\/(((sqrt(90)*1 - sqrt(90) - sqrt(90))\/sqrt(5))\/(sqrt(6)\/(sqrt(2) + sqrt(32)))).\nAnswer: 72*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128)*-2*-3 + (((sqrt(128)*1)**2 - sqrt(128)) + sqrt(128))*-6.\nAnswer: -768 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 471*u.\nAnswer: 3*u*(u + 157)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 5) to base 8.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 38*v - 41. What are the prime factors of i(7)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 + 80*s**2 + 768*s.\nAnswer: -2*s*(s - 48)*(s + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -7*q - 3. Let o(y) = 15*y + 7. Suppose 114 = 5*h - 96. Suppose -2*b = b - h. Let v(s) = b*a(s) + 6*o(s). What is v(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**3 + 19922*l**2 - 5945120*l + 437105896 = 0. Calculate l.\nAnswer: -10253, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.281929 rounded to 2 dps?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -144 - -144.0359. Let m = p - -305.9641. Let i = m - 305.99626. Round i to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -354.4, -1, -141, 5\/3 in decreasing order.\nAnswer: 5\/3, -1, -141, -354.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 3*s - 34, -4*s = -10 + 2. Suppose -g = -3 - w. Calculate the remainder when 19 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*3*(-2*(sqrt(17) + 1 + sqrt(17) + sqrt(17)) + (sqrt(68)\/sqrt(2))\/sqrt(2)) - (-3*sqrt(187)*-2)\/(sqrt(1100)*1).\nAnswer: -78*sqrt(17)\/5 - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84 + 65337\/783)\/(10\/(-36)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 4*t - 3*t)*(-4*t**2 + 4*t**2 - 2*t**2) + (32*t - 15*t + 55*t)*(-t**2 - 2*t**2 + 4*t**2).\nAnswer: 68*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 20, 5, -1, 0.\nAnswer: -1, 0, 1, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2314*l + 2314*l - 6928*l - 15*l**2 + 2300*l.\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58088067 is divided by 58088048.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence be when two letters picked without replacement from {e: 3, b: 2, v: 12}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14168 and 84?\nAnswer: 42504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 698 = 3*s - 697, -2*z + 4*s + 6 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -14*t - 13. Let s be o(-2). Suppose x = -h + 14, -5 = -2*x + 3. What is the highest common divisor of s and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99726 (base 14) in base 9?\nAnswer: -626062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a micrometer in nanometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 746544975.\nAnswer: 3, 5, 11, 904903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence beb when three letters picked without replacement from sbsjdbbbebebfbbeff?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 10*p - 3. Let k be a(-9). Let w = -58 - -46. Let l = w - -21. What is the highest common divisor of l and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -888760 take away -0.1?\nAnswer: -888759.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-3)*(-3)\/3. Differentiate -432 - l**4 + c*l**4 + 437 wrt l.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + sqrt(7) + sqrt(63)\/(sqrt(18)\/sqrt(2)) + 3 + 4))**2.\nAnswer: 32*sqrt(7) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/7)*b**(-1\/6)*b)\/(b**(-3)\/(b\/(b*(b\/(b**5*b))\/b))) assuming b is positive.\nAnswer: b**(419\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**5\/120 - 41*g**3\/6 + 5*g**2. Let v(q) be the first derivative of k(q). Let o(h) = -21*h. Give v(o(w)).\nAnswer: 21*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0336 rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - j = 15. Let u(l) = l**3 - l**2. Let p(t) be the first derivative of t**4 - 4*t**3\/3 - t**2\/2 + 76. Calculate j*u(x) - p(x).\nAnswer: -x**3 + x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 2 (c) -142\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubobbubuuuyg. Give prob of sequence uyb.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -86703 (b) -2\/5 (c) 0.05 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 8*p - 821. What is c(99)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 5*h**2 + 2*h**2 + 0*h**2)*(-375 + 42*h**2 + 375) in the form g*h**2 + n*h**3 + q*h**4 + u*h + j and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-330)*-10)\/(2\/(-10)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4 = -2*d, -4*f = 4*d - 1 - 3. Suppose f*x - 27 = -5*l, -5*l + 4*x + 8 = -13. Suppose b + 2*n - 53 = 0, -b = -2*b + l*n + 60. Does 16 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 2173?\nAnswer: 2169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + k - 4. Let y(u) = -2*u**2 - u + 5. Suppose -21 = 21*t + 63. Let d be 0 + t\/(-4) - (-2 - 3). Determine d*y(i) + 7*c(i).\nAnswer: -5*i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*x - 5 = -50*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3577 - 6589. Let j be 2\/3 - a\/18. What is the greatest common divisor of 21 and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7648 is divided by 1910.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452525 is divided by 113112?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -212006, -211829, -211650, -211469, -211286, -211101, -210914?\n\"Answer: l**2 + 174*l - 212181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1458000 to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*w + 2*w. List the prime factors of ((-39)\/(-6))\/((-3)\/w).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 14*h**2 - 8*h - 35. Let f be r(-14). Suppose 8*o - f - 123 = 0. What is the remainder when 92 is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 9) in base 15?\nAnswer: 2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1\/29, -2\/3, 1, -1, -19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 111 + 1125140\nAnswer: 1125251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 25 = -416*l + 419*l, -4*l = 4*n - 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 256 + -259. What is the smallest value in -1\/150, -5, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293120.\nAnswer: 2, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 6*h**2 - 11*h**2 + 8*h**2 - 20*h + 6. Let d(v) = -7*v + 32 + v**2 - 51 + 21. Give -17*d(n) + 6*p(n).\nAnswer: n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2456*s**4 + 3663*s wrt s.\nAnswer: -29472*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-57)\/152)\/(1\/(-1)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*c - 29167, -c = l + 4*l - 72960. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-25)\/9 + (40\/(-18) - -2). Let m = 612 - 607. Sort m, o, 161, 2.\nAnswer: o, 2, m, 161","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 6*k**2 - 14*k + 2. List the prime factors of d(-7).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -272*1\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -1, -8 in increasing order.\nAnswer: -8, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 30.6449ms?\nAnswer: 30644900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from eerer.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 132 (base 6) to base 14\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wiwtthhwheqh. What is prob of picking 2 w, 1 i, and 1 t?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/((-28)\/(-32)))\/(2\/1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 1:03 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189\/28 + -1 + -6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**2 - 340*y + 295*y - 2*y**3 - 4*y**2 in the form r*y**2 + t*y**3 + z*y + n and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11717617 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -23. Let y = -28 + v. Let c = y - -11.00000026. What is c rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -2243.\nAnswer: 8\/2243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -8*f + 2. Let t(c) = 9*c - 3. Let v be -1*(15 - 12 - 1). Calculate v*t(s) - 3*h(s).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 0 = 4*j - 2*w, 0 = -3*j - 4*w + 17. Let p = 10 + -6. Solve p*m = s, -3*s = m - 10 - j for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4098*w + 331942. What is x(81)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 59368667 and 2004?\nAnswer: 712424004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 0*t + 1\/60*t**5 + 1\/6*t**4 + 0*t**3 + 0 + 7*t**2. What is the second derivative of c(n) wrt n?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.04 + -2.96. Let q = -0.04 - -22.54. Let w = q + -23. Sort u, 7, w in descending order.\nAnswer: 7, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36.8? (a) 2 (b) -1\/6 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o. Let i(k) be the first derivative of k**3\/3 + 9. Determine u(i(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 82\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x**3 - 4*x**2 - 6*x - 1. Let v(t) = 3*t**3 + 3*t**2 + 5*t + 1. Let f(z) = -5*l(z) - 6*v(z). Let r(y) = 2*y**3 + y**2 - 1. Give 4*f(w) - 5*r(w).\nAnswer: -2*w**3 + 3*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h + 28 = 45 - 77 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6*l**2 - 3*l - 27. Let m(z) = 9*z**2 - 4*z - 40. What is -5*m(i) + 7*n(i)?\nAnswer: -3*i**2 - i + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1 + (-1 - 5 + 5)*(-1 - 1 + 1))*((0*y**2 - y**2 - y**2)*(-3*y**2 + 3*y**2 - y**2) - 3*y**4 + y**3 - y**3).\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 1\/48, 1\/44.\nAnswer: 1\/48, 1\/44, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 922.7517 nanometers?\nAnswer: 0.0000009227517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 231 + 13330?\nAnswer: 13561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - x**2 - 2*x + 1. Let r(h) = -h**2 + 1. Suppose 5*v = 3*j + 43, 4*v + 4*j = 104 - 44. Suppose -v = 49*t + 38. Give t*d(p) + r(p).\nAnswer: -p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 7*a + 16*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 3\/649?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**4 - 34*i**3 - 169*i**2 + 15*i. Let v(x) = 4*x**3 - x. Let u(y) = 2*o(y) + 30*v(y). Factor u(z).\nAnswer: -2*z**2*(z - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -61*n - 370. Let u be c(-7). Put u, -1, 5, -4 in decreasing order.\nAnswer: u, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 10252095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and -3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (((-6)\/4)\/1)\/((-6)\/(-8)). Let m(k) = -k**3 + 11*k**2 + 18*k + 7. Let x(p) = -p**2 - p. Let c(i) = u*x(i) + m(i). List the prime factors of c(14).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 2*a**5 - 5*a**4\/3 + 21*a. What is the third derivative of f(d) wrt d?\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0*g + 2*g = 5, 3 = 3*v + 4*g. Let f(j) = -5 + 3*j - v + j**2 + 0*j + 0. Give f(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42226409\/22 + 1916760. Let w = 13108\/5 + v. Calculate the common denominator of w and 89\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(117) + (sqrt(117) + 2)**2 - (sqrt(91) + sqrt(91)*-1*-6)\/sqrt(7).\nAnswer: 8*sqrt(13) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 816 and 459.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w**2 - 11 + 11 - 34*w**4 + 10*w**4 - 52*w wrt w?\nAnswer: -288*w**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 6*h**3 - 122*h**2 + 94*h - 1045. What is f(20)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.2944746 years?\nAnswer: 0.02944746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1014 - -1071) + (-17 - -1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(931))*1 - sqrt(931))*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3232\/3 + 3236\/3. Which is the third biggest value? (a) -5\/2 (b) -5 (c) v (d) 0.1 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - d + 2*d)*(2 - 2 + 2) + 319 - 85*d - 319.\nAnswer: -81*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*c + 102 = 0, 0*c + 78 = 4*q + 2*c. Suppose 0 = q*y - 13*y - 30. Calculate the remainder when 6 is divided by (y\/(-8) - 0)*(13 - 17).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*20\/(-14) + 3. Which is the second smallest value? (a) -2\/7 (b) -0.1 (c) g (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222311132010 + -2?\nAnswer: 222311132002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4744*t - 278110 + 22618 = 12117 + 64471 for t.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**5\/60 + 119*y**4\/24 - 1566*y**2. What is f in p(f) = 0?\nAnswer: 0, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5261633, 5261631, 5261629, 5261627?\n\"Answer: -2*m + 5261635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 163 = -115*p + 478. Factor 3\/7*w**2 + 2\/7*w + 0*w**p + 0 - 1\/7*w**4.\nAnswer: -w*(w - 2)*(w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7073594 (base 11) to base 14\nAnswer: -19384cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*w**3 + 2*w**2 + 140400*w - 15874819 wrt w?\nAnswer: -21*w**2 + 4*w + 140400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.8 - 4.9. Which is smaller: n or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -3. Let c be (-2)\/(-3) + 32\/6. Let s = p + c. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -540*q - 46746. Determine i(-87).\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 1. Suppose -3*x + 11 + y = 0. Solve 8 + 8 = 4*n - 4*s, x*n - 15 = 4*s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z + 4. Let a be -2 - (-7)\/(42\/(-24)). Let h = -8 - a. What is i(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -669 * -0.02\nAnswer: 13.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71 + (-100)\/((-1400)\/(-98))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/32 and 101\/1736.\nAnswer: 6944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19954 - 19949.8. Sort 0.5, 2\/5, -0.4, 0.2, w in decreasing order.\nAnswer: w, 0.5, 2\/5, 0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 7\/62082?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is e (base 15) in base 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*k - 114 + 528. Solve -10*b + k - 63 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20838521, -3, -4 in descending order.\nAnswer: -3, -4, -20838521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -7*l + 2. Suppose 4*v - 8 = 3*o - 2*o, -3*o + 4*v = 0. Suppose -o*w = -15 - 5. Let z(q) = -3*q + 1. Let f(t) = w*z(t) - 2*x(t). Calculate f(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3715792129.\nAnswer: 7, 47, 509, 22189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 7:56 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -41187*r - 1894602. Calculate k(-46).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 + 47. Sort 4, 15, d.\nAnswer: d, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/3*585\/(-10010))\/((-3)\/7)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48583 is divided by 2093?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542277 equal to 1542277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 3*k - 1755, 6*k - k + 2*m = 2922. Let f = k + -583. Which is the second smallest value? (a) 0.22 (b) -1\/2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122001000111222 (base 3) to base 7\nAnswer: 136651061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 1 - z + 0 - 5. Let w be k(-7). Suppose 2*n = -w*n + 2335. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-289 - 344 + 318 - 789 - 256)*(-5*q + 0*q + 4*q) to the form n + y*q and give y.\nAnswer: 1360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 11*k**2. Let l(r) = 2*r - 104. What is g(l(h))?\nAnswer: 44*h**2 - 4576*h + 118976","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.177 + -1.677. Which is the closest to -2\/3? (a) p (b) -4 (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/5990 and -39\/5990.\nAnswer: 5990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 54*x + 5*x - 3 - 8 + 23.\nAnswer: -49*x + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**5\/5 - 22*k**4\/5 + 14*k**3\/5 + 62*k**2\/5 - 16*k\/5 - 8 = 0?\nAnswer: -1, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/10)\/(1\/(-2479992)). Suppose 0*h + h = -12. Let c be n - (8 - h\/(-3)). What is c rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1760 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*g**3 - g**3 + 2*g**3 + (1 - 3*g - 1)*(-3*g**2 + 3*g**2 - 3*g**2))*(g + 2*g + 0*g) to the form q*g**3 + n + o*g + s*g**2 + x*g**4 and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000767264224 rounded to 7 decimal places?\nAnswer: 0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-28) - 119\/(-49). What is the greatest common divisor of 8 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 551180 by 7874.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18201316559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/7375 and 1\/39825?\nAnswer: 199125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 6*z + 1. Let h be t(5). Calculate the common denominator of (4 - 453\/18) + 2 and (h\/(-10))\/((-48)\/2060).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(24) + -2*sqrt(24)*-6)\/((sqrt(132) - (sqrt(132)*2 + sqrt(132)))\/sqrt(11)))**2 + -5)*-6.\nAnswer: -477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2375*y - 2371*y = 3*x - 15, -5*y = -2*x + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -17. Suppose -5*o + 113 = n*u - 23, -4*o + u + 101 = 0. Suppose -8*m + o = -7*m. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12 in -4\/3, 107, 2\/5, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -109*j**3*z**4 - 3*j**3*z - 44*j**2*z + 50*j*z - 46*z**2 wrt z.\nAnswer: -1308*j**3*z**2 - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1684*i - 59 = -1742*i + 115. Factor 4\/9*g**i + 0*g + 1\/9*g**4 + 4\/9*g**2 + 0.\nAnswer: g**2*(g + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2528\/(-474)*(-19)\/16.\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 105\/7*(-1)\/(-3). Let o = -0.6 + 4.6. What is the biggest value in 2, o, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 3*p**2 - 6*p - 8. Let x be z(-3). Solve 4*v = 2*y - x, 2*v + 0*v = -6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -661*w - 29053 = 1364*w + 54982 + 11140 for w.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, 25, 175, 345, 541, 769?\nAnswer: 1035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1212 (base 4) to base 5.\nAnswer: -402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -5*y - 38. Let b be h(-8). Let l(o) = -6*o + 5*o**b - 3 + 2 + o**3 - 2*o**3 + 6. What is l(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11514 to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12932766 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -24 + 25 - r + 1518*r**3 - 265*r**3 + 2*r - 2*r**2. Is d(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 0.11734\nAnswer: 0.82138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4*b + 510 = 0, b = 4*z - 4*b - 1020. Calculate the greatest common divisor of 425 and z.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 3. Suppose 5 = 2*u + o. Let l be (42\/(-4))\/(-15 - -6). Is u at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -33. Suppose j = -q - 0*q. What are the prime factors of 4\/4 + (0 - q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooouhuox. What is prob of picking 1 x and 1 o?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10449 divided by 3\nAnswer: 3483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34348997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -95*p + 90*p - 5*o, -5*o = 4*p + 279 - 238 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a decade in months?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 228 and 30?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*b - 0*b + 912000. What is b rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -118.1 - -118. Which is the biggest value? (a) 0.46 (b) i (c) -1 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*z**3 - 2748*z + 1370*z + 123*z**3 + 1378*z - 43*z**3.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 0*n + n)*(n + 4 - 4 + (-2 + 2 - 2)*(-5*n + 3*n + 4*n) - 1 + 1 + 2*n + 2 - 2 + 2*n + 12*n - 40*n + 22*n).\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (-19 - -23) + (-10 - 4) + 32.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i + 6. Let b(k) = 27*k - 7. Let f(z) = 23*z - 6. Let u(a) = -6*b(a) + 7*f(a). Calculate -q(s) - 4*u(s).\nAnswer: s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**4 + 285234*g**3 - 2*g**2 + 63252*g - 9?\nAnswer: 24*g**2 + 1711404*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -l**4\/3 - l**3\/3 + l**2\/2 - 49*l. Let m = -6 - -17. Let b(k) = -11*k + 4 - 28*k**2 + 2 + 7*k**2. What is m*c(t) - 2*b(t)?\nAnswer: -2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 90163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + q - 0*q, 3*q - 40 = -36*v + 26 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.3 and 3.5239.\nAnswer: -4.58107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*j - 208 - 353 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 150 = 5*g. What is the units digit of (-130)\/g*(2 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 668*c**3 + 300*c**3 - 449*c**3.\nAnswer: 519*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*p + 228, -3*t - 129 - 14 = 5*p. Let q be 6\/(-21) + t\/(-14). Suppose -2*n - 5 = 3. Put -3, n, q in decreasing order.\nAnswer: q, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3981072 divided by 2?\nAnswer: 1990536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5455049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 7*h - 4*h + (-1 + 0 + 0)*(2*h + 3*h - 4*h) - 71*h + 39*h - 41*h)*(-h**2 - 4*h**2 + 6*h**2).\nAnswer: -86*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 447581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3*c = 2*c + 461, 0 = -2*c + 10. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*i + 64 = 0, -13*a - 3*i + 64 = -9*a. Calculate the remainder when 365 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((3 + (sqrt(1300) - (1*sqrt(1300))**2) - 5*(sqrt(1300) + -1 + sqrt(1300))) + -5) + 1 + 2.\nAnswer: 180*sqrt(13) + 2597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 14. Let h be 3 - (3 - u - 31). Suppose 14*a = 16*a - h. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -700 + 705. Solve -3*f + 9 = -u, -b*f + 12*u + 17 = 11*u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 9:55 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 844331931 to the power of 1\/4, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 50?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -6 + -3 + -33 + (16 - 7) + -41?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 3*y + 3, 2*y + 6 = q + 5. Let p(z) be the first derivative of z**4\/2 - z**3\/3 + 3*z**2\/2 - 2*z - 1. Let c be p(q). Solve 4 = w + c for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -45 - 532\/(-12) - 11\/(-12). Sort n, 0, 9612 in increasing order.\nAnswer: 0, n, 9612","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -6*n + 302 - 302. Let t be -2 + 72\/42 - 156\/(-7). Let y(v) = -v**2 + t + 3*v**2 - 22. Determine y(w(h)).\nAnswer: 72*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 5 = 4*z, -3*z + 8*t = 4*t - 35 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f**3 + 8*f**2 - 8*f**2 + (0*f**2 + 5*f**2 - f**2)*(-2*f - 4 + 4).\nAnswer: -13*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 14 + 1. Suppose -2*y - 5*u - 50 = -5*y, a*y - 3*u = 54. Suppose y = f + 3*f. Let w(k) = k**3 - 6*k**2 + 5*k - 3. Give w(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 193952 divided by 1276\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - v = 2*u - 2360, -4*u - 3*v + 1877 = 0. Round u to the nearest ten.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/24, -5, 0.3, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 2*c - 3. Let z be s(-4). Suppose 3*p - 33 = -4*y - 0*p, -4*p + 30 = 3*y. Let b be y\/z - 24\/35. Which is bigger: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g + 5*g**2 - 5*g**2 + 12*g**5 + 0*g wrt g?\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + -6*(2 + sqrt(2736)) + sqrt(2736) + 5*(sqrt(2736) - (-2*sqrt(2736) - sqrt(2736))))**2*-4 + 3 + -2.\nAnswer: -57600*sqrt(19) + 12313281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 50 (b) 5 (c) 0.3 (d) -4 (e) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106552311?\nAnswer: 3, 17, 67, 31183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 315*k**2 + 231*k + 1782. What are the prime factors of z(-8)?\nAnswer: 2, 3, 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 943729?\nAnswer: 943729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-8) + (-21)\/(-4). Suppose 2*m - a*b = -52, -2*b - 104 = 4*m - 4*b. Let y = 30 + m. Solve 0 = 3*g - y*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2761161773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15675896?\nAnswer: 2, 1959487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123443 is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7489.125nm in kilometers?\nAnswer: 0.000000007489125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6162\/2 + (-11 - -8). Let i = t - -9433. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 432385 bigger than 432389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8591 - 8587 + 25757 - 22*v - 8581.\nAnswer: -22*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q**3\/8 - 9*q**2\/8 - q\/4 = 0. What is q?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 8*d**2 - 2526*d + 33183. Calculate m(13).\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*n**3 - 2*n**2 + 6*n - 216 with respect to n.\nAnswer: -72*n**2 - 4*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 38, 50, 78, 128, 206, 318?\n\"Answer: n**3 + 2*n**2 - n + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13436352 divided by -69981?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 74062 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4*n = 8093 + 48387, 0 = -3*q - 3*n + 42360. Suppose 21*s + 4796 - q = 0. What is the hundreds digit of s?\nAnswer: 4","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: 23 (base 4) to base 11\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - b = -5*t - 9, 0 = -2*b + 4*t + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21\/4 in 2, 4, -5, -2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52863378101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 20 - (-32 + 69 + -29) - -25.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 1 - 2*n - 2*n + 1. Let w be z(2). Let j = w + 15. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5249, -10516, -15783, -21050, -26317, -31584?\n\"Answer: -5267*v + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 6.9, 5, -1\/2, 2\/127?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -1)\/(-3 + (-40)\/(-13)). Let u = g + 13. Suppose 0 = 5*a - i - 647, u = -3*a - 2*a - 3*i + 639. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 13562.965687.\nAnswer: 13567.965687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aehe when four letters picked without replacement from hhkxhkaxhxkkkhkekhex.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -809*m + 15. Let n(t) = 22*t + 2. Give -5*n(a) + w(a).\nAnswer: -919*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 37 + -38?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + k + 1104, -42*k - 8 = -38*k. Which is the closest to -0.1? (a) -4 (b) 2\/7 (c) 1 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, k: 1, t: 3, v: 3, i: 2, n: 2}. What is prob of sequence it?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 5 = 2*r, 2*r = 5*r - 10*g - 7 - 17 - 11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/209 and -85\/471009?\nAnswer: 8949171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/17 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9388514.\nAnswer: 2, 541, 8677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -21*w + 11. Let f(p) be the third derivative of p**4\/6 - p**3\/3 + p**2. Let v = -103 - -105. Calculate v*q(a) + 11*f(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-17))\/(g*g**(3\/7)))\/((g*g**27)\/(g*g\/(g*g\/(g**39\/g)))) assuming g is positive.\nAnswer: g**(-52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/1*52\/26\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -916.679*0.05.\nAnswer: -45.83395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*sqrt(85))\/sqrt(5) - (sqrt(17) + sqrt(153)*2 + sqrt(68)\/sqrt(4)*6) - ((6*(-5 + sqrt(1377)*-1))**2 + 2).\nAnswer: -50473 - 3254*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**4*p + 312*a**3*p - 83*a**3 - 4*a**2*p - 6382*p wrt a?\nAnswer: 24*a*p + 1872*p - 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f*j - 160*f - 3*j with respect to j.\nAnswer: 3*f - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 180756 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5638, 22580, 50832, 90400, 141290?\n\"Answer: l**3 + 5649*l**2 - 12*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -7160 bigger than -23762?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37 and 80?\nAnswer: 2960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -16. Let u(r) = 13. Let o(a) = 4*g(a) + 5*u(a). Let f(j) = -j + 1. What is 2*f(n) - 3*o(n)?\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6*w**3 + 11*w**2 + 11*w - 11. Let z(t) = -7*t**2 + 4*t + 4*t**2 + t - 4*t + t - t**3 + 5*t**2 - 2. Let g = 8 - 6. What is g*y(m) - 11*z(m)?\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 5:17 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 7 + 115. Let c = -41 + s. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + h**2)*(h - h - h) + (0*h**2 + 2*h**2 - 4*h**2)*(-7 + 7 - 11*h + 4*h - 2*h - 3*h + (4 + 2*h - 4)*(1 - 2 + 0) - 2*h + 3*h - 3*h).\nAnswer: 31*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 + 84 = 5*x - 3*p, -2*x + 2*p = -6. Let f = 1 - -3. Let b(m) = -f + 4*m**2 - 2*m**3 - 1 + m**3. Calculate b(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1974*p + 2208*p + 2738*p + 5186*p.\nAnswer: 8158*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -268 (base 15) to base 13.\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1824793?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 425622749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*r + 5*r - 3*r + 2*r to m*r + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u**3 - 8*u**2 - 2*u + 85. Let t be w(-7). What is the highest common divisor of t and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49088 divided by 12?\nAnswer: -12272\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*2\/((-6)\/6 - -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1291 + 45189\/35. Let j be 2\/6 + 15\/9. Let b be (j - (-2)\/((-4)\/6))*1. Which is smaller: b or m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**5 - 1691*p**4 - 745450*p**3 - 25839254*p**2 - 220311973*p + 246898369 = 0?\nAnswer: -827, -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1 + 3 - 2 - 2 + (-5 + 1 + 2)*(7 - 2 - 3))*(-n**2 + 2*n**4 + n**2).\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.2 and -7.2.\nAnswer: -23.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 a factor of 11262060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*j + 34 - 9, 0 = -3*j + 5*d + 25. Let a(n) = -6 + 2 + 5*n + j. Is 9 a factor of a(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f - 5*f - f**2 + 2*f + (-1 - 4 + 2)*(-3*f**2 - f + f).\nAnswer: 8*f**2 - 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n = 3. Suppose -r + 8 = 3*i - 3*r, -2*r + 10 = 0. What are the prime factors of n\/i*(-12)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - t**2 - 1 + (2 + 0 - 11)*(-t**2 - 3*t**2 - 6*t**2).\nAnswer: 89*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-3)*(-3)\/(-9)*12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**4 - d. Let y(g) = 21*g**4 - g**2 + 3*g. Let a(p) = -3*q(p) - y(p). Find the third derivative of a(i) wrt i.\nAnswer: -576*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 57859 * -6569.\nAnswer: -380075771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**2*m + 306*g**2 - 2*g*m**2 + 2*m**2 with respect to m.\nAnswer: 2*g**2 - 4*g*m + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(2*j + 0 + 0) + (1 + 7 - 1)*(4*j - j + 4*j).\nAnswer: 53*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*((o\/o**(-9))\/o)\/o)\/o**(-6\/11))\/(o\/(o*o*o**(-2))*o)**(-26) assuming o is positive.\nAnswer: o**(677\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 12*z**2 - 14*z + 15. Let k be y(13). Suppose 21*j + 81 = 81. Solve k*r + j - 8 = 0, 3*i - 3*r + 27 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2280767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 3*q = -10, 0 = 4*w - 5*q - 197 + 242 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/90 and -221\/130830?\nAnswer: 392490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 8 (c) -3\/2 (d) -2.8 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yihi when four letters picked without replacement from {h: 4, c: 3, y: 1, i: 2, n: 3, k: 2}.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2406 take away -165259196?\nAnswer: 165259198.2406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 9*f + 1. Suppose b - 2*j = 16 - 2, -4*b = 2*j - 16. What is the units digit of o(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80097900 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 19*p**4\/4 + 17755045*p**3\/2 + 4147916558712*p**2 + 436622697288*p = 0. Calculate p.\nAnswer: -934476, -2\/19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-1)*(-1)\/(-3). Suppose 3*q = 4*u - 83, 2*u - 2*q - 82 = -2*u. Suppose f = -j - j + u. Calculate the lowest common multiple of 1 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 0*u - 4*u**2 - 16 + 3*u**2. Suppose -2*p - 3*p = -8*p. Determine d(p).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m + 73 - 33 = 4*g, -g = -9*m + 37 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.094*-139.\nAnswer: 13.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-1)*14*115\/644?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 8:43 PM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*g - 1174, 12*r - 9*r - 3*g - 1758 = 0. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 148.91 - 147. Let m = n + -0.91. Sort -3, m, 1\/3, -1 in ascending order.\nAnswer: -3, -1, 1\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/19 and 40\/171?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 108900 - 74900. What is o rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 10 = x. Solve 2*w = 2*a - 0*a, a - 2*w = -x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and -546?\nAnswer: -4368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 8621973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 121450 - 4611?\nAnswer: 113536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1044 and 609?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1144*g**3*q**2 - 11*g**3*q + g**3 + 16*g*q + 8*g + 2185*q**4 - 202*q wrt q.\nAnswer: -2288*g**3 + 26220*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -3. Let m(z) = z**2 - 5*z - 29. Let x be m(8). Which is bigger: g or x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z + 10. Let b be h(2). Suppose -8*p = -b*p - 24. Suppose -6*u + 692 = -u - p*y, -4*u + y = -558. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 6 (b) -2471 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**2 - 2*g - 6. Let l be (142\/(-46) - -5) + 4\/46. Let z be j(l). Solve z*b + 2 + 2 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*g*t**3 - 4740*g*t**2 + 2*g*t - 326*g + 837358*t**4 - t**2 - t wrt t.\nAnswer: -48*g + 20096592*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -624*f - 22. Let b be v(-1). Suppose b = 2*d - 2234. What are the prime factors of d?\nAnswer: 2, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/251866197 and -53\/167910798?\nAnswer: 503732394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 j when three letters picked without replacement from {o: 4, g: 5, j: 3, p: 1, u: 5}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 5*l**2 + l - 7. Determine w(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 473831.66 to the nearest one hundred.\nAnswer: 473800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 4:36 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -241876764 less than -241876764?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*k - 263, -2*k = 29*b - 28*b - 278. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 84 and 4.\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 + 74*v**3 + 82*v**3 + 82*v**3 + 2 - 231*v**3 + 5 to k*v**3 + s*v**2 + q + g*v and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4955261 divided by -2969.\nAnswer: 1669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*w. Let i(d) = -d**3 + d**2 + 257. Is i(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**3\/5 - 47*v**2\/5 + 91*v\/5 - 9 = 0.\nAnswer: 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/36 and 73\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -1, 1\/6, 3805, -2\/15 in descending order.\nAnswer: 3805, 1\/6, 2\/13, -2\/15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + i + 2. Let o(p) = -p**2 - 9*p. Let c be o(-9). Let m be g(c). Let l be (-1 - -4)\/(2\/6). Solve -l = -s + 4*q, s + 0*s - m*q = 7 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 584132 or -21?\nAnswer: 584132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -116.840269 - -110.73945. Let i = d + 6.1. What is i rounded to 5 decimal places?\nAnswer: -0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 223*i**2 + 6426*i + 67. Give l(-189).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 40*w = -38*w - 308, -5*b = -2*w - 492. Solve 157 - b = -19*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2785626 and 23607.\nAnswer: 2785626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 113 * 1.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 915, 1559, 2631, 4131, 6059, 8415?\nAnswer: 11199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8e (base 15) to base 16\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 + 67. Suppose -13 = 2*g - 3. Let n be (-28)\/(-10) + (-1)\/g. Calculate the highest common factor of n and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -53 (b) 3\/5 (c) -2\/59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 11*c - 34*c + 74 + 0*c + 25*c**2 + c**3. What is the tens digit of p(-25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -377 + 6?\nAnswer: -371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 11*x. Let i(j) = -j. Let y be i(0). Suppose -r = 4*d - 32, -2*r - 2*d = -y*r - 40. Let c(f) = -8 + r - 8 - 2*f. Give m(c(g)).\nAnswer: -22*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s - 6. Let l be x(-4). What is o in o**l + 4 - 7 - o + 3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + 3*t**2 - 2*t**2)*(-t**2 + 4*t - 10*t + 2*t**2).\nAnswer: 2*t**4 - 12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 112111112?\nAnswer: -112111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*y - 2*q - 25, 2*y - 3*q = 11. Suppose -2*s = -y*s + 68. Suppose -6*d = -k - 2*d + s, 0 = d - 1. Is k a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w + 28. Calculate o(-16).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-16)\/(-24) - 484\/(-3) is divided by 25.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v + 3*x + 7 = 12*v, 0 = -v - 2*x - 14 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17168792701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/6))**15\/(o\/(o**(-4)*o)*(o*o\/(o*o**(5\/4))*o)\/o*o*o) assuming o is positive.\nAnswer: o**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11412 + 11411. Sort 0.048, 2\/11, 0.3, -2\/15, w.\nAnswer: w, -2\/15, 0.048, 2\/11, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 + 34. List the prime factors of p + -1 + 5\/(15\/297).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -72, -114, -194, -324, -516, -782, -1134?\nAnswer: -1584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7606 (base 9) to base 14.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2562270 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3098918 less than -4.2?\nAnswer: 3098913.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 v when three letters picked without replacement from {d: 10, v: 9}.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-29)\/(-4) + (-5)\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 - 101 - 223 + 138 - 16*y + 53*y.\nAnswer: -(y - 31)*(y - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3480797 is divided by 1522?\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 191.08973 rounded to 2 decimal places?\nAnswer: 191.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -10*n**2 - n + 75. Let s(g) = 23*g**2 - 149. Let c(u) = -7*i(u) - 3*s(u). What is c(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 36*j**2 + 350*j + 88. What is t(44)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -7*c**2 - 37*c - 300. Let t(x) = -13*x**2 - 68*x - 602. Determine 11*h(f) - 6*t(f).\nAnswer: f**2 + f + 312","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3634666187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.8 and 0.03903.\nAnswer: 0.031224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 10*o - 174*o**2 - 4 + 170*o**2 + 0 = 0.\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**3 + 9*n**2 + 4*n - 29. Calculate l(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 207049744?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16394 + 16408. Solve u*m = -5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7207481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 63611173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*q + 2 + 29 = 0, 9 = -s + 2*q. Put 0, -5, -1, 3, s in increasing order.\nAnswer: -5, -1, 0, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96201828 to the power of 1\/3, to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Convert 62222346 (base 8) to base 10.\nAnswer: 13182182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (376\/(-235))\/((-3)\/15). Is d > 144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 133598559, 133598555, 133598547, 133598535, 133598519, 133598499?\n\"Answer: -2*d**2 + 2*d + 133598559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37282 - 11831. List the prime factors of q.\nAnswer: 31, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31216\/27 + -1156. Let c be -6 - 181287\/(-33) - 0. Let k = 5484 - c. Find the common denominator of k and h.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1054, -1\/10, -2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 401702?\nAnswer: 2, 7, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -155221 (base 9) in base 15?\nAnswer: -1d53a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/8*(-660)\/99. Solve 2*c + 0 - 28 = n*d, -8 = -d - 3*c for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**4\/12 + 3*c**3\/2 - 6*c**2 + 10*c. Give x(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115871 (base 10) to base 2\nAnswer: 11100010010011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19\/60 - -1\/15. Which is the nearest to 1? (a) p (b) 2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**2\/3 + 179*m\/3 - 178\/3 = 0. Calculate m.\nAnswer: 1, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*t - 63*t = 2*k + 14, 24*k + 4*t = 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 9*d**3 + 3*d**2 - 5*d. Let u(f) = -28*f**3 - 8*f**2 + 14*f. Let o(l) = 3*u(l) + 8*z(l). What is the second derivative of o(k) wrt k?\nAnswer: -72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-7 - -3) - 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 5940.\nAnswer: 4, 5, 5940","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(54)*-2)\/((-1*sqrt(12)*2)\/sqrt(6)).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(180)\/sqrt(4))\/(sqrt(144)*-1).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 45 + 35 + -58.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 231.4? (a) 0.4 (b) 2 (c) -3\/14 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 7*x + 84. Suppose -15*y + 13*y + x = 0. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70.8 - -73.8. Which is the closest to -0.1? (a) 0.3 (b) f (c) -3\/5 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -83084603 and 12.3?\nAnswer: 83084615.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 5*m + 15 = 0, -4*h - m - 2*m = -2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 283 + -180. Suppose -3*y - 2*c + 11 = -65, b = 4*y + 3*c. What is the lowest common multiple of 22 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*x = 2*j - 2348, 4*j = -2*x + 2342. Calculate the common denominator of 21 and 1\/(-3) + j\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -6\/1105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 116 - 111. Suppose -s*v + 96 = -3*t, -v + t + 18 = -0*v. Calculate the remainder when 57 is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13261, 53231, 119837, 213073, 332933?\n\"Answer: -d**3 + 13324*d**2 + 5*d - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*j - 339, 4*c - 78 = -j - 0*j. What is the highest common factor of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11010 (base 2) to base 14\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -513 + 817. What are the prime factors of b?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2*i - 247 = 5*i, 0 = w - 4*i - 78. List the prime factors of w.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, v: 1, e: 1, r: 2, l: 1, h: 1}. Give prob of picking 1 h and 1 r.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -293, 1\/3, 0.101?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1355283 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*w**(-9))*w*(w\/(w\/(w**(-2\/3)*w)*w))\/w*w*w*((w**7*w)\/w)\/w**(6\/5) assuming w is positive.\nAnswer: w**(242\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.23 - 0.229935. What is t rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72*37\/(-444)*(-2)\/1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 4:04 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 18*p. Let o(u) be the third derivative of -222*u**2 + 0*u**3 - 1\/8*u**4 + 0 + 0*u. Let x(h) = 6*h - 8. Let b be x(7). Determine b*o(a) + 6*y(a).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1013 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -8*s**2 - 7*s. Let j(o) = -o**3 - 9*o**2 + o + 25. Let p be j(-9). Let k be 2 + 1 + (p - 12). Let f(t) = -12*t**2 - 10*t. What is k*i(b) - 5*f(b)?\nAnswer: 4*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24.87 - 29.3. Let y = w + 0.13. Round y to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 884, -1107, -3098, -5089, -7080, -9071?\n\"Answer: -1991*h + 2875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 0*b + 0*b)*(1 + 1 + 0) + (0 - 1 + 3)*(b + 0*b + b) + 0*b - 2*b + 3*b - 1 - b + 0*b + 3*b.\nAnswer: 5*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 11:35 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5826 + 7172. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**3 + 39*a**2 - 108*a + 83. Let n be x(-22). What is the greatest common factor of n and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 23 = -35. Suppose p*j = -j + 320. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 8*x**2 + 10*x + 10. Let d be k(-9). Let i = 32398 + -32393. Put i, d, 4, 2 in ascending order.\nAnswer: d, 2, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of k**7\/280 + k**6\/36 - k**3\/6 + 9*k. Let y(v) be the second derivative of t(v). What is the third derivative of y(w) wrt w?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*i + 3 = 4*m, -i = 3*m - 7. Suppose -2*l + 5*x + 7860 = 0, -2*l - 2*x = m*x - 7878. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -15. Let l be 4 - (-2)\/(t + 1). Suppose 3*q + l*q - 30 = 0. Calculate the smallest common multiple of q and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -3*g + 64. Suppose 36*r - 9 = g*r. Solve -3*l + r = -0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = r. Suppose r = -3*p + 2*a + 6, 4*p - 3*a - 10 + 2 = 0. Is 5\/7 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -451 (base 7) to base 2\nAnswer: -11101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*k - 65 = 0. What is the remainder when k is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6953701 to the nearest 100000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 11:42 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*m + 2*m**3 + 8*m + 22*m - 2)*(-m**2 - 3*m**2 + 2*m**2).\nAnswer: -4*m**5 + 32*m**3 + 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 107318509*0.07\nAnswer: 7512295.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 180\/14 + (-7)\/(-49). Let w = v + 13. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35*((-11)\/(-1))\/(26455\/962).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -14*x - 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -61, -3, -4\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 349 = -4*x, x + 3*x + 330*c = -17195 - 16527 + 9648 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 - 4*j + 7. Let x(t) = -t**2 - 2*t + 28. Let l be x(-6). Let v(b) = b**2 - 3*b + 7. What is l*v(y) - 3*p(y)?\nAnswer: -2*y**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 403305 divided by -5.\nAnswer: -80661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.66 - 0.14. Let b = l + 0.82. Let t = -3391 + 3389. What is the closest to b in t, -1\/2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/13)*f\/(((f\/(f\/((f*f\/f**(-2\/41))\/f)*f))\/f)\/f*f)*f)\/(((f\/(f**(-8\/3)\/f))\/f)\/((f\/(f*f*f**(-16)))\/f*f)) assuming f is positive.\nAnswer: f**(22718\/1599)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 2\/17 (b) 1\/210 (c) 0 (d) -1 (e) 25 (f) 29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -12*s**5 + 953847*s**4 - 1192260*s**3 - 2384595*s**2 + 1192272*s + 1430748 = 0.\nAnswer: -1, -3\/4, 1, 2, 79486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1574785 + 11?\nAnswer: 1574796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**2. Let c(q) = q**2. Let k(m) = 4*c(m) - n(m). Let g(j) = -4*j**2 + 2. Determine -g(x) - 3*k(x).\nAnswer: x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -6.\nAnswer: -6, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*s + 4 = -s, 0 = w + 5*s + 17. Let y(i) = i**3 - 3*i**2 - 2*i + 4. Let a be y(3). Let f be 2\/a*1 + 4. Do w and f have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -9*x + 0 + 7\/12*x**4 + 21\/2*x**2 + 1\/3*x**3. Is a(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 12. Let g be 3\/(-2)*(-12)\/81. What is the second smallest value in g, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39874*q = 39853*q - 378 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 4. Suppose -10 = -3*j + z. What is the second derivative of r + 4*r**2 - 2*r**2 + 0*r - j*r wrt r?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 6525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.195 and 0.263.\nAnswer: 0.458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/930832 and -41\/308.\nAnswer: 10239152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u - u**3 - 3*u)*(17*u + 23*u - 20*u) as i*u + a*u**2 + n*u**3 + v*u**4 + m and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -7*t**2. Let u(n) be the second derivative of -n**5\/20 - 24*n**2 + 4*n. Let i(p) be the first derivative of u(p). Determine i(d(k)).\nAnswer: -147*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1296 and 256?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000090955 to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 4*u + 2*d - 68, 0 = 2*d + 4. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(272) + 3) - ((-2*sqrt(272) - sqrt(272)) + 4))**2.\nAnswer: 528*sqrt(17) + 2932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 2 - 2)*(-5 + 5 - 5*a) + a**2 - 3*a + 3*a + (0*a - a - a)*(-4 + a + 4) - 1 - 2*a**2 + 1.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 21\/5962, 5, -0.1 in decreasing order.\nAnswer: 5, 21\/5962, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*p - 2, 5*v = -3*p + 31. Solve 15 - v = 5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 288 + 409. Suppose -o = -2*z - 14, -22 = -3*o - z + 3*z. Suppose 0 = o*g + 77 - f. Calculate the remainder when g is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50713338 by 11531.\nAnswer: 4398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 17*y + 9*y)*((-y + 6*y - y)*(-10*y + y + 0*y) + 4*y**2 + y**2 - 6*y**2).\nAnswer: -962*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 5 (b) -1\/4 (c) 4 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/8 + 48945*b\/4 - 798537675\/8.\nAnswer: -3*(b - 16315)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v - 13. Let w be x(-11). Let n be (-12600001)\/w - 8\/16. What is n rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 + 13*u - 84. Give t(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11192387 is divided by 3490.\nAnswer: 3447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 255\/10*-2*(-6)\/(-18).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89.2 - -74. Let u = -0.8 + x. Let t = 16.00006 + u. Round t to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n - 30. List the prime factors of b(-15).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 295.2 + -295.13. Let z = 4 + -9\/2. What is the nearest to g in z, -0.3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 1213 = -2*p + 2384, 2*p + 5*b = 3577. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b19b (base 16) to base 11.\nAnswer: -110700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 2, -129702\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/3)\/(5\/(-45)). Suppose j + 0*j - g*d = 0, 2*d = j. Solve j*q = -5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 566 is divided by 52?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 56975 greater than or equal to 56948?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 + 24276780*k - 29468102358420.\nAnswer: -5*(k - 2427678)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -r**4\/6 + 2*r. Let j be (-30)\/(-8) + (-2)\/(-8). Let h(y) = -2*y**2 - y**2 + 5*y**2 - j*y**2. Give z(h(d)).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 - 3749770*m**2 + 703121240325*m - 30930075445500.\nAnswer: 5*(m - 374955)**2*(m - 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1393?\nAnswer: -5\/1393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29059 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 2*o**2 - 3*o. Let z be u(2). Suppose -2*w - 16 = -6*w + 4*b, 2*w + 2*b = -8. Let p = w + z. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(228\/224) - (32\/1 - (-84 - -117)).\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 615278 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 198, 235, 272?\n\"Answer: 37*b + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 7\/1238 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3680837 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + -63.7?\nAnswer: -63.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 10:46 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(168) - (sqrt(168) + -1*(sqrt(168)*1 - sqrt(168) - sqrt(168))))\/(sqrt(42)\/sqrt(96) + sqrt(7)))\/((sqrt(288)\/(sqrt(9)*-1))\/sqrt(4)*-4).\nAnswer: -sqrt(3)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 378448583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4\/2 - 684*f**3 - 2061*f**2 - 2064*f - 1377\/2.\nAnswer: 3*(f - 459)*(f + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 11*p + 9. Let u be m(8). Let k = u - -27. Find the common denominator of k and 31\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 32?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t*t*t*t*t**24*t)\/t*t**28)\/((t**(-28)\/t*t)\/(t\/t**(-4\/21))) assuming t is positive.\nAnswer: t**(1831\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 10:15 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - j = 2 + 13, -3 = c - 4*j. Find the first derivative of 2*z**2 + 245 - 340 + 12*z - c*z wrt z.\nAnswer: 4*z + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1037, -948, -763, -452, 15, 668?\nAnswer: 1537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5190 is divided by 576.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 373 - 93. Let p = q + -53. Is p a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2969473*l - 1 - 1341*l**2 + 2969472*l as w*l + c*l**2 + t and give c.\nAnswer: -1341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/9 of a hour in seconds?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*y - 11, -3*u - 2*y = -2*u - 13. Suppose u = 2*a + a. Suppose a = -5*d, -93 = -2*r - 3*r - 2*d. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2053283, 2053284, 2053285, 2053286, 2053287, 2053288?\nAnswer: 2053289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 37*c + 317. Give z(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -546882997 + 546882997 - 475*w**3.\nAnswer: -475*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 1:54 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -427 divided by -51973.\nAnswer: 427\/51973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 2*o. Suppose 2*z = 11 - 17. Let d(p) = p**2 - 3*p. Let k be 0\/2 - (-6)\/3. Suppose 2*a = 2 + k. Determine a*d(j) + z*c(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 859294.8 months?\nAnswer: 71607.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 458*v**2 - 3*v + 15. Let o be p(4). Let j = o + -3760. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0\/x*x**(-2\/31)*x)**(18\/5))**(-22) assuming x is positive.\nAnswer: x**(792\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89 - 110. Let k be 117\/(-42) + ((-12)\/m)\/2. Sort 1\/5, k, -1, 2 in increasing order.\nAnswer: k, -1, 1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 583438?\nAnswer: 2, 127, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**4\/4 - 9*a**3\/4 - 3*a**2\/4 + 9*a\/4 = 0. Calculate a.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/45 - 40\/(-18). Suppose 4*y + a + 22 = 0. Let n(w) = w**2 + 4*w - 6. What are the prime factors of n(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57413132 to the nearest integer?\nAnswer: 7577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1 + -31 + 38 - -18 - 9.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k**2 + 67*k - 24. Determine r(27).\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63 - 37 - 16) + -46.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-553)\/474 - (-2115)\/54.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 21, -3, -8 in decreasing order.\nAnswer: 21, 3, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.454 - -0.154. Which is the nearest to 0.2? (a) k (b) 2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*4\/4*1. Suppose 4*p + t*v = v, 2 = -v. Solve -m = -0*m - p for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -4*i - m, -245*i - 3*m - 33 = -248*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 8*h**2 - 43*h + 21. Calculate g(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 7, -3\/2, -2\/5, -1908?\nAnswer: -1908","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = j - 55 + 7, 2*j = -8. Let v(x) = -13 + s + 3*x. Let z(l) = 3*l**2. What is z(v(i))?\nAnswer: 27*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((-20)\/(-90) + (-50)\/(-18)). Which is the nearest to j? (a) -3\/5 (b) 2 (c) 5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1685213 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 w = 316\/5 + -63. Let a be (-16)\/18 - 1 - -2. Suppose j + 5*j = -6. What is the third smallest value in w, a, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4 = -2*b, -17*h - 31 = -4*b - 12*h. Solve b*q - 3*m = 3, -6*m = -4*q - 8*m - 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 2*x**2 - 3*x**2 - 2*x + 12*x - 6*x + x**3. What is m(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 493.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3244533.\nAnswer: 3, 673, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39853 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 5. Let s be l(-9). Suppose -67 = s*f - 155. Suppose 2*p - 248 = -3*x - 0*p, -5*x - 4*p + 410 = 0. What is the remainder when x is divided by f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -5. Let q = p + 4. Suppose -2*s + q*s = -3. What is the second smallest value in 4\/7, s, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 403 + -835. Let x = -432.00541 - i. What is x rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3 - 6*t + 5 + 2*t. Let x(d) = 20*d - 1 - 8*d - 10*d. Determine -6*b(h) - 13*x(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6239540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34367?\nAnswer: 34367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-12 + -6 + 2 + 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -1390343*v**2. Let u(c) = 182*c**2. What is n(u(h))?\nAnswer: -46053721532*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.5 - 1.7. Let v = d + -8.3. Let p = -0.12 + 7.12. Which is the nearest to -0.1? (a) 5 (b) p (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37\/17050 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -22. Let o be (-28)\/7 - (p - -3). Let t(i) = 3 + i**2 + 8*i + i - 4*i. What is t(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 455*j = 36*j - 601*j - 66300 for j.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2230 is divided by 52.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 22556011 rounded to the nearest ten thousand?\nAnswer: 22560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 0.2, -0.5, 6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14516.\nAnswer: 2, 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 0.5, 1\/9, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (-23 + -18 - -3)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-44 + 44 + 23*d)*(3 + 2 - 3)*(-d + 6*d - 2*d) to the form q*d + z + u*d**2 and give u.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 81107126, 81107124, 81107120, 81107114, 81107106, 81107096?\n\"Answer: -w**2 + w + 81107126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 14 (b) 211 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z + 7. Let s(w) = -w**2 - 7*w - 5. Let v be s(-4). Suppose -5*u + k + 50 = 0, u - 4*k + v = 4*u. Let y = u - 14. Give x(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -1.6?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)\/(sqrt(567) + 2*sqrt(567) - sqrt(567)) + -6*sqrt(150)\/(sqrt(6)\/sqrt(2)))**2*-4.\nAnswer: -572450\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ozzz. What is prob of picking 3 z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b - 11aa84?\nAnswer: -11aaa3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 716700 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q**3\/9 + 2315*q**2\/9 + 1598408*q\/9 + 283055164\/9 = 0. Calculate q.\nAnswer: -1022, -271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14309?\nAnswer: 41, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4410.24292 rounded to 1 decimal place?\nAnswer: -4410.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-2) + (-72)\/18. Factor 1\/3*c**f + 1\/3*c + 0.\nAnswer: c*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 + 2089*j**2 + 1680201*j - 1682289.\nAnswer: -(j - 2709)*(j - 1)*(j + 621)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -z - 7, g + 2*g = -2*z - 17 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 2:16 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 130 = -6*p. Let o = 40 - p. Suppose 171 = 30*v - o*v. What is v rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 168 and -24960.40211.\nAnswer: -24792.40211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1167, -3617, -7311, -12249, -18431, -25857?\nAnswer: -34527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -b4642b (base 16) to base 11\nAnswer: -6745155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (30 + -1)*11 + (0 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 12:08 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 200820180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29736.\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 0*z + 0*z**2 + 3*z**2 + 3 + z - 4*z**2. Let u be k(0). Solve 0 = 5*g - u*b - 21, 0*g - 4*b - 2 = 2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -6 + -1 + -28 + 33.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j - 7*j + 154 = 0 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 2.8. Let r be 3 + (-25 - (3 - 1)). Let t be 7\/28 + 22\/r. Which is the second smallest value? (a) t (b) n (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 1785?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 10. What is the derivative of 5*o**3 - 5 + 3*o**3 - q*o**3 wrt o?\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2, -2, -1204, -0.3, -0.5, 134?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 584.9 + -574.9. Let v be (1\/5)\/(3\/9). Sort 1\/3, v, t.\nAnswer: 1\/3, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 10.169, -66, -4, 1?\nAnswer: 10.169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 785510183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 37*s - 214*s - 481 = 7*s + 1575, -3*d - s + 20 = -2*s for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 223938 and 162.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -15 + 105\/12.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 244, 388, -97?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 5*b + 80, -17 = -2*i + 3*b - 69. Let h be 5\/i - 11\/4. Suppose 15 = 3*j, n + 4*n = 5*j. Sort n, 2, h in decreasing order.\nAnswer: n, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -146 + 1604\/11. Let a be (-2)\/(-10)*(-20)\/8. Let f = -0.33111 - -3.33111. What is the biggest value in a, h, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32619*f**2 - 35867*f wrt f.\nAnswer: -65238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4.7 - 0.01077\nAnswer: 4.68923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -8*s**3 - s**2 + 7. Let f(h) = -9*h**3 - h**2 + 8. Let q be 132\/18 - 1\/3. Determine q*n(w) - 6*f(w).\nAnswer: -2*w**3 - w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -118637997, -237275997, -355913997, -474551997, -593189997?\n\"Answer: -118638000*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*t = -29 + 17, 4*w + 4*t - 24 = 0. Solve 3*c = -d - 11, -4*d - w = -0*c + 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9944 divided by -113.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-5)*k*k**17*k assuming k is positive.\nAnswer: k**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19824*u**3 - 448*u**2 + 4*u wrt u?\nAnswer: -118944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2210388 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*o**4 - 9*o**4 - 6*o**4)*(-76 - 75 + 18) to the form l + z*o**2 + s*o**4 + i*o**3 + j*o and give s.\nAnswer: 399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -30*v + 6. Let a(j) = 8*j**2 - 3*j**2 + 1737*j - 1737*j. Calculate a(i(p)).\nAnswer: 4500*p**2 - 1800*p + 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 810826 divided by 2?\nAnswer: 405413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -84 + 84 + 0 + -4 + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1496294.83879 and -4.\nAnswer: -1496298.83879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0, -82, 3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 185939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1907058 (base 13) in base 3?\nAnswer: 120101210012100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**3 + 0*t**3 - 4*t**3 + (5*t + 3*t - 4*t)*(0 + 7 + 6 + (-2 + 4 - 1)*(1 - 2 + 3))*(-2*t**2 + 4 - 4 + (3 - 1 - 3)*(-4*t**2 + 4*t**2 - t**2)).\nAnswer: -61*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6801.173ml to litres.\nAnswer: 6.801173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1*sqrt(500) + 2 + sqrt(500) - (5 + (sqrt(500) - (-1 + sqrt(500))) + sqrt(500)))**2 + 0 + 4 + -3).\nAnswer: 400*sqrt(5) + 2585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 + 0.07. Let c = 0.0799979 - m. What is c rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -6, -3\/862?\nAnswer: -3\/862","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 6948043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-12 - 10148\/930) + 23 and -83\/465.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 99826 in -7, -1, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1692595831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**3 + 0*x**3 - 7*x**3 + 4*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85618 and 1950.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 148 = -88. List the prime factors of f.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and -76242987216?\nAnswer: 76242987219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -729*a**4 + 449847*a**3 - 33319*a**2 + 617*a = 0. Calculate a.\nAnswer: 0, 1\/27, 617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81 and 35691.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3648110 and 41830?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5571, -22145, -49771, -88449, -138179, -198961, -270795?\nAnswer: -353681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 9*z + 13. Let x be q(-2). Let w(y) = -4*y**3 - 2*y - 2. Let n(s) = s**3 + s**2 + 1. What is x*w(t) - 2*n(t)?\nAnswer: 2*t**3 - 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15092 to the power of 1\/2, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 4319*p**4\/24 + 2705*p**3\/3 + 2*p**2 + 141*p - 1. What is the derivative of b(a) wrt a?\nAnswer: 4319","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-8)*24\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-20))\/((-28)\/70)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**4 - 326*r**3 + 9492*r**2 - 95184*r + 297216 = 0. What is r?\nAnswer: 6, 12, 16, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003006912128 rounded to 6 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1840*p + 4 + 1837*p + 0 to k + d*p and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2. Suppose -5*l - 5*v + 35 = 0, -2*l + v = -3*v + 16. Let d be (1 + -2)\/(1\/(-2)). Let m(b) = 5*b**2 - 3*b**d - b**l. Give m(x(g)).\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 5:38 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -125*n + 2879. Let o be m(23). Solve 4*f - 18 = 335*d - 333*d, 0 = o*d - 2*f + 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 9. Let o be v(0). Let i = -4 - o. Suppose -4 = -r - u, 0*r = -i*r - 3*u + 14. Calculate the smallest common multiple of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 1552 + 217. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-12))\/((-24)\/(-96)))\/((-60)\/(-10))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 40 = -4*k. Let a = 13 - k. Factor -11*o**3 + 6*o**2 - 15*o**4 - o**3 + 3*o**a + 0*o**2.\nAnswer: -3*o**2*(o + 1)*(5*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -108, -191, -296, -417, -548?\nAnswer: -683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 4)*(-6 - 2*x + 6)*(-9*x**3 - 400*x + 400*x) to the form u*x**2 + l*x**4 + a*x + g + d*x**3 and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, l: 5, w: 3, v: 1, b: 4}. What is prob of sequence lz?\nAnswer: 25\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 54585054 - -4?\nAnswer: 54585058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87803?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 3)*(-3*k - 3*k + 3*k) - 3*k + k + 0*k)*((0 - 3 + 1)*(-1 + 0 + 2) + 44 - 35 + 183).\nAnswer: 190*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 581189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2736 divided by -2736\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, d: 1}. What is prob of sequence dd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -26*v**3 + 6*v**2 + 9*v + 11. Is z(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iw when two letters picked without replacement from {i: 7, w: 7}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -18*b**3 + 6*b**2 - 4*b. Let u(k) = -53*k**3 + 17*k**2 - 11*k. Let w be (-2)\/4*2 - -18. Give w*s(c) - 6*u(c).\nAnswer: 12*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)*1*6 + (3*(sqrt(19) + 0) - -1*2*sqrt(19))**2)*4.\nAnswer: 96*sqrt(19) + 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 3 = g, -3*b - 2*g - 6 - 2 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 768 divide 686441056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 24553965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2248600 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 52 = 36. What is l rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -245, -2056, -6975, -16556, -32353, -55920, -88811, -132580?\n\"Answer: -259*t**3 + 2*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 14 - 75 = -52*c + 84 + 66, 5*c = d + 17 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 859542*r**4 - 500756*r**2 wrt r?\nAnswer: 20629008*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -396451*k**3 + 3 + 396455*k**3 - 3*k**2 + 5*k**2. What is m(-2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 + 33 - 2)*(-31)\/5?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.51*-3.71.\nAnswer: -1.8921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-17)\/204 + (-4)\/48 and 0 + (0 - (-68)\/(-18)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72541*w + 72536*w + 4*x - 35 = 0, 2*w + 2*x + 32 = 0 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + -4 + (6 - -8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*b - 71835 = 69*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -46106042.\nAnswer: 4610604.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 0.12, -1, 50, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 1. Suppose 3 = -5*a + 6*a. Let m = a - x. Solve 3 - m = 2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2. Let l be 4\/3 - 14\/(-21). Let s be 18 + 1 - (-2 + 0). Let r(o) = -l*o + 21 - s. Determine r(g(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2919590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6213, -12427, -18641, -24855, -31069?\nAnswer: -37283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 632025 divided by -795?\nAnswer: -795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2970303 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1060*v**4 + 403*v**4 - 179*v**4)*(-3 - 3 + 3) to the form u + j*v**3 + k*v**2 + m*v**4 + p*v and give m.\nAnswer: -3852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -60*7\/693*-2 and ((-5)\/(-20))\/((-15)\/4)?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26322*25.4.\nAnswer: -668578.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1849848059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -16, -32, -56, -88, -128, -176?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 3:29 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 74040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1)**5)**(-11)*(p**(-2\/7)*p)**(1\/5)\/(p**(1\/2))**(-1\/4) assuming p is positive.\nAnswer: p**(-3065\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h**3*k**2 - 2*h**3*k + h**3 + 78*h*k**2 + 2*h*k - 243*k**2 + 208*k - 585 wrt k.\nAnswer: 6*h**3 + 156*h - 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000025547011 rounded to seven decimal places?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -12.99. Let g = i + -0.1. Let s = -0.89 + g. Which is the third biggest value? (a) 0.3 (b) s (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1683 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 7*j + 5*j - 5, 0 = -4*q + 2*j + 8. Solve -r + 3*i - 5*i - q = 0, -5*i + 10 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 262645 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**2 - c**2 + 2*c**2 + c**2 - 6*c**2 + 4*c**2 + (3*c + 3*c - 5*c)*(0*c + 3*c - 4*c) + (-c + 0 + 0)*(-8*c - c - 5*c).\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5550, -5659, -5910, -6309, -6862?\nAnswer: -7575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.05 (b) 61247 (c) -1\/4 (d) -0.6 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-17)*q**11*(q*q**(-9))**(2\/65) assuming q is positive.\nAnswer: q**(-341\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 2:01 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 383 divide 16092128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 4*l - 2. Let d be q(5). Suppose -d*t + 27 = 3*c, -5*c - 63 = -2*t - 2*t. Which is smaller: t or 13?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536 is divided by 260.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.272009435 to three decimal places.\nAnswer: 0.272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*u**3*w**3 - 1357*u**3*w - 2*u*w**3 + 27*u*w - 34*u + 6*w**2 wrt u.\nAnswer: 162*u*w**3 - 8142*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-3))\/((-260)\/78). Which is the closest to l? (a) 2 (b) -0.4 (c) -5\/4 (d) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q**3 - 5989 + 2*q**3 + 6022 + 63*q + q**2 to the form f*q**2 + a + h*q**3 + p*q and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - l = -3*a - 51, 0 = -3*a - 3*l + 33. Suppose -k - 2*k = 0. Let y(x) = -x**2 + 5. Let j be y(k). Solve a = 3*s - j for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10265013499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2753808.\nAnswer: 2, 3, 103, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -111.1 + 111. Which is smaller: -65 or a?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**3 + 2385*d**2 + 21708*d = 0.\nAnswer: -9, 0, 804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -262.7 and -567.85.\nAnswer: -830.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o\/(o*o**(-2\/3)*o))*o*o*o)\/o)**46\/(o**(1\/3))**4*((o\/(o\/o**6*o))\/(o**(1\/6)*o))**26 assuming o is positive.\nAnswer: o**(893\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c - 5. Let a be (-4)\/(-1) + (-10)\/5. Let i(p) = -2*p + 11. Determine a*i(y) + 5*h(y).\nAnswer: y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1672, -1627, -1558, -1459, -1324, -1147?\n\"Answer: f**3 + 6*f**2 + 20*f - 1699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -161 and -165 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*v - 16 = -4*h, 4*v = -h + 13. Let x be ((-38)\/(-20) + (-2)\/5)*184\/(-276). Do x and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -215929154*y**3 + 182739980 with respect to y.\nAnswer: -647787462*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 96053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*y - 26 = 47*y + 2*d, -4*d - 57 = -45*y - 1227 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 135849709 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*x + 8*x + 24*x + 24*x + 3*x**2 + 26*x.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 - 51*x - 46. Is i(37) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 + -20. Suppose -z + 20 = c. Calculate the highest common factor of 6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m**3 - m**2 + 2*m - 1. Let j be q(1). Let h be (2\/6)\/(j\/9). Let y be 2 - (-2)\/h - -1. Calculate the greatest common factor of 1 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 25?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -9718*m + 2. Let v(w) = -4886*w. Determine p(v(q)).\nAnswer: 47482148*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-447)\/(-21) + 10\/(-35) - 1. Suppose 0 = p + 4*f - 4 + u, -4*f = 5*p. Suppose -p*y = 5*x + 3, -x + 9 = y - 3*x. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 14*x**2 + 5. What is the smallest common multiple of w(14) and 54\/15 - 2\/(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 6. Let d be (-2)\/m*(-10 + 4). Solve -3*n + d*f = -31, 18 = -4*f + 2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/2947326?\nAnswer: -1\/2947326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**2 + 31 + 2*u**4 - 34 + 120*u**3 + 3 to y*u**2 + x + b*u**4 + r*u**3 + v*u and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101101000010010 - -11?\nAnswer: 11101101000010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 36\/20*5\/((-4)\/(-4))*(-5853)\/(-9755)\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51532 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 23, 42, 79, 140, 231, 358?\nAnswer: 527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1777 = -20*d - 157. Suppose 51*w - d = 42*w. Solve 2 = p, 5*n + w*p = 4*p + 10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -2 - (-6 + 23)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 15*w**2 + 3 + 23*w**2 - 28*w**2 to y + g*w + v*w**2 and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8328, 2, 0.\nAnswer: 0, 2, 8328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 53488139 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 885 and 8555?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107965, -216263, -324561, -432859, -541157, -649455?\nAnswer: -757753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - 2. Let r be ((-2)\/3)\/(w\/(-12)). Let q be -1 - -1111 - (r + 2). What is q rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 - 18. Calculate the smallest common multiple of 16 + 1 + (-12)\/4 and m.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 33 = -4*u, -4*b + 10 = -2*u - 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(192))*-5 - (0 + (sqrt(300) + sqrt(300)*1 - sqrt(300)))**2.\nAnswer: -310 - 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -110573051 - 0.39\nAnswer: -110573051.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 6*j - 3*j - j + 6*j - 3*j + (5*j - 3*j - 4*j)*(-3 + 2 + 3) - j + 2*j - 2*j)*(2 - 2 + j**2) + (5 - 5 - j)*(-j + j**2 + j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 0)*(-102)\/34 + 90. Solve 86*a = v*a + 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89, 32207, -2, -5.\nAnswer: -5, -2, 89, 32207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 8) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 493 + -486. Solve -3*k + d*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j + 10. Let h(g) = -1. Let n(r) = c(r) + 5*h(r). Suppose 0 = 2*t - 3*s - 2, -t - s = 2*t + 19. Let b be n(t). Sort 0, 5, b.\nAnswer: b, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 25 = 6*o. Suppose -a + 5085 = o*x - 10*x, -25509 = -5*a - 3*x. Let b be (8\/10)\/(8\/a). Round b to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -3 + 0 + -451. Let t be 1\/(-2) + p\/(-6). Suppose t = 5*h - 5*v - 15, 0 = 5*v. Calculate the least common multiple of 8 and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s + 2*s + 21 = 2*m + 15, 4*m + 9 = s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6835, -7190, -8149, -10012, -13079?\nAnswer: -17650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**5*p)*p\/p**(1\/5)*p)**47 assuming p is positive.\nAnswer: p**(-752\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 773082 and 1395102?\nAnswer: 121373874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 7*o**2 - o - 2. Determine h(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -96 in 0.3, -5, -3513?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1314 + 13140 = 2*h - s, h + 5*s = 5924. Let m = -3015 + h. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 29162998?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12514397 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 12498157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(396) - (-1*sqrt(396))**2) - (-5 + (2*sqrt(396))**2))*1.\nAnswer: -1971 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/1248*6)\/(3\/6).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*j**2 + 1)*(-3*j**2 + j**3 + 3*j**2) - 3*j**5 + 2*j**5 + 3*j**3 - 2*j**3.\nAnswer: -4*j**5 + j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*s + 4392 = -162*s + 400*s for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.28 * -45.8473\nAnswer: 12.837244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 11*h**2 + 33. Let l(z) = 2*z**3 + 10*z**2 - z - 34. Let y(u) = 3*d(u) + 2*l(u). Let t be y(13). Is -1 + t - 1\/(4\/(-60)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 52?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -225 + 265. Calculate the remainder when m is divided by (2\/6)\/(6\/54).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11789 + 508 = 587*q - 1791 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3 = -5*h, 2*h + k + 1 - 10 = 0. Solve h*g = -6*g - 18 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24170.7771 rounded to the nearest one hundred?\nAnswer: 24200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1325 and 289910.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 7:44 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5300 - -102?\nAnswer: 5402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30627.\nAnswer: 3, 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5689 (b) 0.2 (c) 0.093 (d) 8 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 189977.37423 + -189976. Let j = r - -0.03237. Let x = 1.4 - j. What is x rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3 = -4*a + 3, -3 = -m + 5*a. What is the lowest common multiple of (m - (-1 + 0))\/((-2)\/(-6)) and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 + -52. Suppose s = 5*s - 12. Suppose 2*l + s = j + g, j + 2*l = 10. What is the remainder when 4 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*1 + (-12)\/(-3). Suppose -v - 4*d = -5*d + 6, 3*v + 5*d - 6 = o. Let f be 8 + (-8)\/(-4) + v. Solve 2*i - f*i + 5 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 296048*l**4 - 225967 wrt l.\nAnswer: 1184192*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.9 - 3. Let r = -0.1 + 0.2. Let s = g - r. What is the second biggest value in 4, 3, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4536)\/315 - (-4 - 11). Factor -3\/5*b**5 + 0*b**4 + 0*b**2 - d*b + 6\/5*b**3 + 0.\nAnswer: -3*b*(b - 1)**2*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -9*g + 101. Let n be z(10). Suppose 0*l + 88 = 2*l. Calculate the greatest common divisor of n and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005896032 to five dps.\nAnswer: 0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/4)\/(15\/80). Let h = q - 17. Calculate the remainder when 29 is divided by h\/10 - 17\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/3 + 384\/9. Suppose -2*j + 2*v = -3*v - 59, 0 = 4*j + 5*v - a. Let s = -5 + j. What is the greatest common divisor of s and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**2 - 3*m**2 - m**2)*(-13205*m + 11314 - 11314).\nAnswer: -13205*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 72 = 436. Is i a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/(-1))\/(55902\/5082). Let k be (0 - 1 - -1) + 14. Let d = k + -2. Solve 5*j - w - 3 = i, -j - 3*w + 3 = d for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32310*q + 23199.\nAnswer: 32310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 291 (base 10) to base 7.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(832) + 1 - (4 + (-2 + sqrt(832) + sqrt(832) - sqrt(832) - sqrt(832))))**2 + -1)*-3*-2.\nAnswer: 96*sqrt(13) + 4992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3339539767 - 0.\nAnswer: 3339539767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6610, 6613, 6616, 6619?\n\"Answer: 3*l + 6607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65\/6 + 23\/2. What is the closest to -1\/2 in i, -0.11, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/4)\/1*-1. Let u = 31731 + -31731.5. What is the second biggest value in 5, u, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -17*j**6\/24 + 13*j**4\/24 - j**3\/6 + 72*j**2. Find the second derivative of z(m) wrt m.\nAnswer: -510*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (15 + -16 - (-4 - 0)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*u - 6*u + 17*u - 3*u - 15*u - 11*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**4\/(i**8*i)*i*i**5*i**(2\/11))\/((i**(2\/7)*i**(-4\/7))\/(i*i\/i**0)**(2\/17)) assuming i is positive.\nAnswer: i**(2229\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.129 and -533?\nAnswer: 68.757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/3))**(-12)*(y\/(y*y**9)*y*y)\/(y\/(y\/y**(-5\/3))) assuming y is positive.\nAnswer: y**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 1812 = 3*x + 1836, 3*x = -3*d - 42 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77 + -101. Let p = o + 23. Which is the closest to 0.1? (a) p (b) -5\/2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2969, 3, 4, -7 in descending order.\nAnswer: 2969, 4, 3, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.1 (c) -0.5 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 0.1 (c) -1 (d) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136866540 a multiple of 460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 10*c**2 - 20*c - 2. Give t(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x - 24. Let a be l(-12). Suppose a = 11*t - 7*t - 108. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(-8))\/(38\/((-6384)\/(-3045))). Which is the smallest value? (a) r (b) 510 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1168\/7008*(-6)\/(-8)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -7*g**3 - 6*g + 15. Let k(a) = -6*a**3 - 5*a + 14. Calculate -6*k(o) + 5*p(o).\nAnswer: o**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i = -16*i + 8. Suppose i = p - 8. Suppose 32*l - 364 = 4*l. Is l at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 8*b**2 - 559*b + 4006. Give h(7).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3 + 4 + (sqrt(252)*2 + -3 + 5 - ((sqrt(252) + -1 - sqrt(252)) + sqrt(252) + -1 + -2))))**2.\nAnswer: 3024*sqrt(7) + 10836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 28*d - 302. Let n be o(10). Sort -5, 8, n, 0 in increasing order.\nAnswer: n, -5, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6901*i*n**3 - i*n - 926129*i - 5*n**2 + 2*n wrt n?\nAnswer: 20703*i*n**2 - i - 10*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.18332 - 11270.\nAnswer: -11268.81668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9661463909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 817236 and 1293957.\nAnswer: 15527484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8932.742 years to centuries.\nAnswer: 89.32742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/7, -1\/3, -0.3, -0.4, -4 in increasing order.\nAnswer: -4, -6\/7, -0.4, -1\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 12*t + 13. Suppose 0 = 3*c - 8*c - 55. Let f be w(c). Let h be f\/(-4) - (-7)\/14. Solve 0*v - 3*v = h for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + (sqrt(72) + sqrt(72)*2 + sqrt(72) + sqrt(72) - sqrt(72)))\/sqrt(9))**2*1 - ((-1*sqrt(384) + sqrt(384))*-4)\/sqrt(12).\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26061113*t**2*v**2 - 6*t**2*v + 545*t**2 + 17*t*v - 4*t + 4*v - 1 wrt v?\nAnswer: -52122226*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - (0 - 9)) + 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(280\/(-92) - -3). Let v(u) = -u**3 + 8*u**2 + 29*u + 46. Let d be v(11). Solve 5*w = -d - o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 186 = 5*c. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 9*a - 10. Let i be x(7). Let y = 17 + 7. Suppose -y = -i*p + p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 12939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 13*b - 5. Let m(i) = -3*i**2 - 25*i - 51. Let x(o) = 3*o**2 + 29*o + 38. Let p be x(-8). Let n be m(p). Give l(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, m: 3}. Give prob of sequence mm.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 5*i + x = 13, 14 = 3*i + 4*x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*y + 1415104 = 0, 1061331 = 15*b - 18*b + 3*y. Is b\/(-125) + (24\/10)\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (96\/24*3\/84)\/(-1). Which is the nearest to 0? (a) 0.04 (b) -0.4 (c) y (d) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 26*w**2 - 24*w - 9. What is j(-1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -8*u**3 - 5*u**2 - 9*u - 3. Let n(v) = v**3 + v**2 + v. What is f(r) + 5*n(r)?\nAnswer: -3*r**3 - 4*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-2 - 7) - (-71 - -60)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**3 - y - 1. Let b(d) = 3*d**3 + 10*d**2 + 2*d + 4. Let o(h) = b(h) + 2*x(h). Let r be o(10). Solve -i = -0*i + r*z + 15, 4*z = -i - 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/7, 18080, -960?\nAnswer: 18080","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (12 + -7) - (-1 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 53 (b) -2\/7 (c) 0.1 (d) -1248 (e) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -156*c + 4663. Calculate a(29).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85062, -5, 0.3 in decreasing order.\nAnswer: 0.3, -5, -85062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*v - 242*v**3 - 268*v**3 - 14 + 748*v**3 + 14 - 239*v**3.\nAnswer: -v**3 + 22*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 536*q = 5*c + 539*q - 32, 14*q = -c + 10*q + 37 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 460*v - 457*v + 2*c, 8 = 4*c. Solve 27 = 9*q - v for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 + -39. Let g be 144*(d - -2373 - 1). What is g rounded to the nearest ten thousand?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 - 7 = 7*n. Suppose -3*o = -5*f + 1110, -3*f - n*o = 420 - 1120. What is the highest common factor of 90 and f?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-10))\/(5\/(-125)). Let h = -3 - -6. What is the second derivative of w*b + 11*b**5 - h*b + b - 12*b wrt b?\nAnswer: 220*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -4, -20*b - h - h = 144 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0713 * 16.\nAnswer: 1.1408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 21 - 24 = 0. Suppose 0 = 5*s + 13*o - 9*o + 14, 5*s - o = -t. Let u = 0 + 0.4. Which is the closest to -2\/5? (a) u (b) s (c) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 229988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f. Let t(b) = -147259*b**2. Give t(h(g)).\nAnswer: -2356144*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 19 = -d, 2*l - 2*d + 0*d = 6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 0*r + 20 - 62.\nAnswer: r - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.392708342 plus 1?\nAnswer: 107.392708342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 18*p**2 + 19*p + 3. Let k be z(19). Suppose 20 + 7 = 3*u - 3*a, 3*a = -2*u + k. Let j(d) = 2*d - 11. Give j(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*h - 240 = 87*h. Solve -4*y - 8 = 6*c - 10*c, -2*y + h = 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(15 - 7) - (-4)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 161*p**6\/120 - 91*p**5\/30 + 124*p**2. Find the third derivative of q(u) wrt u.\nAnswer: 966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2212471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*v + 139*v = 239*v + 1224 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-190)\/(-96) + (-4)\/6 and -83\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + (-1*sqrt(8))\/sqrt(4) + 2)**2.\nAnswer: -2*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1629 + 2357. List the prime factors of g.\nAnswer: 2, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24279 divided by -3\nAnswer: 8093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 10*m + 4*m - 15*m. Let j(g) = -g + 3. Let w(p) = -2*p + 7. Let x(h) = 7*j(h) - 3*w(h). Calculate x(f(s)).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11646 + -11562. Calculate the smallest common multiple of 238 and z.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - (17 - -4))\/(-1). Do 15 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22030240 + -15?\nAnswer: 22030221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z - 43*z + 5*z + 31*z - 2*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -v + 4*u, 5*v + u + 21 = -35. Let g = v + 132. What is g rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 458, 1245, 2238, 3437, 4842, 6453, 8270?\n\"Answer: 103*s**2 + 478*s - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.057 * -1.729\nAnswer: -0.098553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d*d\/(d\/(d*d**(2\/5)))*d)*d)**(-38)*d**(1\/14)*d**(2\/3))**1 assuming d is positive.\nAnswer: d**(3347\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 19*j + 12 - 1.\nAnswer: 19*j + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - l**3 + 3*l - 14*l**3 - 3*l as o*l**2 + f*l**3 + h*l + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*i**2*x*z + i**2*x + 7*i**2*z**3 - 149*i**2 - 28*i*x*z**3 - 7*i*z**3 - 13*x*z + 3*z**3 wrt i.\nAnswer: 28*x*z + 2*x + 14*z**3 - 298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 13*n - 10. Let i be a(-12). Let m = 4 + i. Let x(j) = j**2 - 3*j + 15. What are the prime factors of x(m)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1638, -2309, -2980, -3651?\nAnswer: -4322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -721 (base 8) to base 3.\nAnswer: -122020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*1 + -2 + -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41326 is divided by 5409.\nAnswer: 3463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-282536)\/(-16) + 3\/6. Suppose -i = -6*v + 14411. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*l**4 + 5*l**3 - 5*l + 86.\nAnswer: -264*l**2 + 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 125*p**3 - 3*p + 6. Let m = 51 - 52. Let s(a) = a**3 + a + 1. Let x(n) = m*g(n) + 4*s(n). What is the second derivative of x(j) wrt j?\nAnswer: -726*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3*h - 2, 0 = -3*i + 4*h - 1. Sort i, 0, -2, 2 in ascending order.\nAnswer: -2, 0, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j. Let q(r) = -2. Let c be 1\/5 - 56\/(-70). Let i = -1 - -3. Calculate c*q(o) + i*t(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(4)\/sqrt(2)*1 - ((sqrt(4)\/sqrt(2))**2*-6 - 3*(sqrt(2) - (sqrt(4)\/sqrt(2))**2)))*3.\nAnswer: 18 + 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -33 + 3357?\nAnswer: 3324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 79478?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69636669 is divided by 912.\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 0*g = -5*z + 2*z - 3, -15 = 5*z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 96626848 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 514788 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49041 - 31056. Suppose -78*h - u = -89*h. What are the prime factors of h?\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11220200000111121 + 11?\nAnswer: 11220200000111202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.2 (b) 1\/37 (c) -5 (d) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 423770489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 14*h**2 - 14*h + 15. Let d be o(15). Let a = 194 - d. List the prime factors of a.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(9) + sqrt(108)\/(sqrt(36)\/sqrt(3))) - ((sqrt(832) - sqrt(13)) + 1*sqrt(117)).\nAnswer: -19*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = w + 38 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(-13*i - 14 + 14)*(i + 3*i - 5*i).\nAnswer: -26*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2559400 and 1541.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f = 2*f + 4053600. Round f to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1240032 (base 5) to base 13.\nAnswer: b144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53055*o + 12902*o + 13181*o + 12882*o + 13359*o.\nAnswer: -731*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -328, -757, -1176, -1579, -1960, -2313, -2632?\n\"Answer: t**3 - t**2 - 433*t + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9218.09038 - 0.09038. Let t = c - 9208.171. Let a = t - 0.129. Round a to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10075*j - 20148*j + 10071*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 14) + (-2 - -2) + -5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1*sqrt(931))**2 - sqrt(931)) + (1*sqrt(931)*-4 - sqrt(931))**2.\nAnswer: -42*sqrt(19) + 28861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19.89 - -19.69. What is the fifth biggest value in -3\/2, g, 2\/11, 5, 45?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2 = -4*l, -s + 2*s + 3*l + 9 = 0. What is the closest to 1\/3 in 4, -1\/4, s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -27*s. Let z(x) be the third derivative of x**6\/720 + 19*x**4\/24 - 42*x**2. Let o(g) be the second derivative of z(g). Give v(o(k)).\nAnswer: -27*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-41)*t**42*t*t)\/((t\/t**43*t)\/t*t)**(-44) assuming t is positive.\nAnswer: t**(-1801)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.965 and -12.\nAnswer: 23.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + sqrt(45) + 1 - ((sqrt(405) - (sqrt(405) + -2*sqrt(405) + sqrt(405)))\/sqrt(9) + -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 - 70.9. Let n = -37 - h. Let l = n - 2.90000178. What is l rounded to seven dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -15. Let k = s + -11. Solve -2*f - 5 - 1 = k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*d*t - 11*d + 82*t with respect to d.\nAnswer: -7*t - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(300))*-3 + 2)**2*3 - (-5*(2*sqrt(300))**2 - ((0 + sqrt(300))*3)**2).\nAnswer: -360*sqrt(3) + 16812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*u + 31 - 31 + (2*u + 6*u - 2*u)*(4 - 6 - 2) + 3*u + u - 3*u)*(u - 4*u - 2*u).\nAnswer: 170*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 3. Let z(i) = -5*i - 5. Let j be z(-3). Suppose -3*k = 5*p + 122, j*p - 9*p + 4 = 0. Put -4, b, k in ascending order.\nAnswer: k, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 460740, 921482, 1382224?\nAnswer: 1842966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 4. Let g = -3 + k. Is (-2 + 1 + g)*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/37))**(-19)\/(((u\/((u*(u\/u**21)\/u)\/u))\/u)\/u**16))**(-2) assuming u is positive.\nAnswer: u**(446\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 6*a + 5*b + 15, -2*b = 2*a + 6. Let g be (8 - 60\/8)*(a + 0). Solve g = 6*y - 8*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184922592259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/14 + 1023\/217. Let s(v) = -v**3 - 3*v**2 + 2*v - 5. Let y be s(-4). Suppose b*h - 1340 = -y*x, 0 = -3*x + 5*h + 1876 - 546. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + sqrt(1008) + sqrt(1008))**2*1 - (sqrt(1008) + sqrt(1008) + (-1*sqrt(1008) + -2)**2 + -1).\nAnswer: 168*sqrt(7) + 3046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 + 108*a**2 - 100*a**2 - 82.\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a**3 + 2*a**2 + 30*a**3 + a**3 - 23*a**3 to the form l*a + r*a**2 + f + k*a**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 - 328?\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 14*c. Let q(i) = -3*i. Let t(f) = -9*q(f) - 2*z(f). Let x(g) = -30*g**2 + 2. Calculate x(t(n)).\nAnswer: -30*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hwh when three letters picked without replacement from {h: 15, x: 3, w: 2}?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2608\/5 - 523. Is b smaller than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 13 = 4*n + 6, 5*t - 22 = n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-11\/2))\/(((z*z**3)\/z)\/z)*z**19\/((z**(-10)\/z)\/z) assuming z is positive.\nAnswer: z**(71\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 960339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by 46743.\nAnswer: 7\/15581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3291 + 3156 = -h - 2*h - 30*t, 3*h - t - 11 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) -1\/2 (c) -5 (d) 1 (e) 0.65 (f) 0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 829084135 to the nearest integer?\nAnswer: 28794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 4. Let p(j) = -j**3 - 3*j**2 - j - 1. Let s be p(b). Solve -s*z - 5 = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*u - 1162*u - 32268 - 24181 = -7321 for u.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 0 + (sqrt(52) + 0)*-6 + -1*(sqrt(52) + (sqrt(260)\/sqrt(5))**2).\nAnswer: -51 - 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-9)*(-141)\/94.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/93406 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*c - 63, 2*q - 3*q = 5*c - 18. Suppose 0*n - 2*t = 5*n + q, -2*n + 10 = -3*t. Calculate the remainder when 51 is divided by ((16 - 3)\/n)\/(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 10. Suppose 3*z - f = -2*u + 4*z, -u - 5*z - 25 = 0. Suppose 2*c - 7*c + 190 = u. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*i + 2*i. Let l(h) be the third derivative of -h**5\/60 + h**4\/24 + h**3\/3 - 6*h**2. Give l(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 6*g - 4. Let s = 3 + 1. Let o be i(s). Suppose r = -v + 6, 2 = -3*v - o. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2. Let i(j) be the third derivative of 2*j**5\/15 + 13*j**2. What is i(a(p))?\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 939101 is divided by 10206?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 3*p - 4*p**2 + (-p**2 + 2*p**2 - 3*p**2)*(0 - 2 + 3))*(-7 + 14 - 6 - 5*p)*(6*p - p - 3*p).\nAnswer: 60*p**4 - 12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*m - 394*m = -204*m - 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 280\/(-112)*(-18)\/468*12\/(-10)\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 1. What is the common denominator of j\/7 + 99\/(-28) and 1 + (-6)\/4 - (-20)\/(-280)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2207 + 2211. Factor 2\/3*m**2 + 2\/3*m**5 + 0*m + 0 - 2\/3*m**3 - 2\/3*m**l.\nAnswer: 2*m**2*(m - 1)**2*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 8*t**3 + 4*t**2 + 5. Suppose -6 - 9 = -5*z. Let c(u) = -7 + 2*u**3 + 16 + 6*u**z + 7*u**3 + 7*u**2. Calculate 6*c(y) - 11*r(y).\nAnswer: 2*y**3 - 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7151, -14308, -21465, -28622, -35779?\nAnswer: -42936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 209 and 26752?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/9, -889, 4, 1, 45?\nAnswer: -889","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -990*d + 3797*d + 156105 = -662*d for d.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 703341026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -20+-949653671\nAnswer: -949653691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1952 + 1746*y**5 - 5*y + 6*y - 1017 + 129*y**5 + 1493 wrt y?\nAnswer: 37500*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 276172 divided by 1\nAnswer: 276172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -674.1 smaller than -6\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.877, -3, -6.2156?\nAnswer: -6.2156","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 4*h - 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -212*i**2*l*z**3 + 2*i**2*l*z**2 - 2*i**2*l + 5*i*l*z**3 - 33*i*z**3 + 2*i*z wrt i?\nAnswer: -424*l*z**3 + 4*l*z**2 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 10, t: 3, z: 1, e: 4}. Give prob of picking 2 t and 1 e.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 + -2 + -3 - 14. Suppose 32 = -c + 3*c. Let o = c + r. Solve -k - 9 = -2*j - j, 3*j - o = 3*k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7368283 (base 9) to base 2\nAnswer: -1111000010100100001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 321204431 (base 5) to base 14.\nAnswer: 2722c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 233 = -p, 0*p - 4*p - 5*x + 934 = 0. Suppose -18*o + p = -39. Solve -2*a + 3*c - o = 0, 0*c = c - 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/38 - 0) + (-110)\/55?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359*c + 10480 = -331*c - 21260 for c.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -16*1389.6\nAnswer: -22233.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1429, 1212, 631, -494, -2343, -5096, -8933, -14034?\nAnswer: -20579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 28406639 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -9*k + 13*k - 3*u, 2*u + 8 = -5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 16*p**2 - 4*p**2 - 12*p**2 - 14*p**2. Let s(q) = -4*q**2. Calculate i(s(u)).\nAnswer: -224*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.06473 grams in kilograms?\nAnswer: 0.02306473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.59 - -0.754. Let y = f + -0.074. Are y and -3\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0077107 to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 912.3371 centimeters in micrometers?\nAnswer: 9123371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31.5 - 30.6. Which is the third biggest value? (a) h (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u. Let f(q) = 42970*q. What is i(f(r))?\nAnswer: -42970*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -148*d*s*t**2*x - 4*d*s*t*x - 2*d*s*x**3 - d*t*x**3 + 4*d*x**3 + 2*s*t**2*x - 2*s*t*x - t**2*x**3 wrt t.\nAnswer: -296*d*s*x + 4*s*x - 2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 2*c - 18 = -44*c, -2462*t + 2474*t - 3*c + 87 = 0 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5180, 20796, 46814, 83228, 130032, 187220, 254786?\nAnswer: 332724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -251, -517, -793, -1085, -1399, -1741, -2117?\n\"Answer: -p**3 + p**2 - 262*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/15)\/2*165\/154. Which is the third biggest value? (a) i (b) 4 (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i - 25. Let y be n(8). Let w(p) = 7*p + 1. Determine w(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**3 - 18*o**2 + 6*o + 20. Let s(n) = n**3 + 10*n**2 - 2*n - 10. Let m(v) = 4*a(v) + 7*s(v). Let x be m(-4). Factor -2\/3 - 1\/3*k**x + k.\nAnswer: -(k - 2)*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63054312 divided by 3318648.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1255 by -5.\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 175 = 3*j, 0 = 15*j - 14*j - s - 55. Suppose 10*r - j*r = -200. Suppose 0*v + 0*v**4 + 0*v**2 + 8\/5*v**3 - 2\/5*v**r + 0 = 0. What is v?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6376.383kg to milligrams.\nAnswer: 6376383000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*i - 381, -3*s = -5*s + i + 762. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115278563077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.48106983 to three dps.\nAnswer: 0.481","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/((r\/((r**9\/r)\/r)*r)\/r))**(6\/19))**(-2\/45))**10 assuming r is positive.\nAnswer: r**(-56\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -7*h + 12. Let m = -128 - -131. Let t be n(m). What is the smallest common multiple of (t + 5)*-10*1\/1 and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 divided by 40889\nAnswer: 44\/40889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 281, 915, 2147, 4175, 7197?\nAnswer: 11411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 10608.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 12:04 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**4\/12 - g**3\/3 - g**2\/2 - 6*g. Let u be d(-1). Sort -3, u, -4 in increasing order.\nAnswer: -4, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3424 = 2*q - 5*q - 4*l, 3*l - 12 = 0. Calculate the greatest common divisor of q and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 0 - 3)*(-3 + 2*f + 3)*(-66 - 22 + 14)*(2 - 1 - 3).\nAnswer: -4440*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0215724586 to three decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 68?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 496 * 0.06.\nAnswer: 29.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18725 + -18808.924. What is w rounded to the nearest integer?\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4568*n. Let j(z) = 2037306*z. What is -5*j(m) + 2229*p(m)?\nAnswer: -4458*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 84\/7967873 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 3:02 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cfu when three letters picked without replacement from cuffukukuumuuuuu?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -766117450 rounded to the nearest one hundred thousand?\nAnswer: -766100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((5\/1)\/1)\/(15*8\/8)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 94489 and 183.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/4*(-6)\/5. Let c be 1\/(1\/8000) + 0. Suppose d*m = -m - c. What is m rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -114, -152, -190?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (105\/(-14))\/(-5)*((-17360)\/42)\/31.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - ((-385)\/42)\/11. Let a = -0.01 + 2.01. Let s = -11 - a. Put s, n, -4 in decreasing order.\nAnswer: n, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 0*j**2 + 2*j**2 - 25 + 23 - j**2. Is r(4) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -87) + -93 + (-17 - (-4 + 2))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, 1, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 149*i**3 - 10*i**2 + 5 wrt i.\nAnswer: 894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*t + 0*t - 5*t)*(0 + 3 - 1) + (9 + 0 + 3)*(-2 + 2*t + 2) - 3 + 2*t + 3 to the form z*t + s and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u - 49. Let p be o(-12). Let w = -1 + 2. Let c(r) = -r**2 - 7*r - 4. Let k be c(-6). Sort w, k, p in ascending order.\nAnswer: p, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37245378.\nAnswer: 2, 3, 2273, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 48161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 15*z + 5. Let s be c(7). Suppose 2*b = -3*b + s. What is the least common multiple of 4 and b?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3400 - -13609\/4. Let -21\/8*x**2 + 0 - 3\/2*x**5 + 21\/8*x**4 - 3\/4*x + c*x**3 = 0. Calculate x.\nAnswer: -1, -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1057526*y - 3479 = 1057455*y for y.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 11:20 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(684)*2*2*6)**2 + sqrt(209)\/((sqrt(121) + (sqrt(121) - (sqrt(121) + sqrt(121)*-1)))\/sqrt(11)) + -6*(sqrt(171) + 1)**2.\nAnswer: -1223*sqrt(19)\/2 + 392956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 8. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(1377) + sqrt(1377)*1)*-1)**2*-2.\nAnswer: -55080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35560 and 5080?\nAnswer: 35560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1467 and 1269607?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -6. Let y(w) = -w**3 + 7*w**2 + 3. Let o be y(7). Suppose c + o = -2. What is the third smallest value in -1\/6, c, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -7 - 12\/(-10)*(-9 + 96\/9).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*((i**(2\/5)*i)\/i)\/i)**(42\/5))**(-22)*(i**1)**(-34)*i**(-6)\/(i**(-2\/3)\/i) assuming i is positive.\nAnswer: i**(-8419\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2260, -2318, -2506, -2902, -3584, -4630, -6118, -8126?\nAnswer: -10732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**2 + 3*m**5 + 4*m**2 + (2*m**4 + 1 - 1)*(0*m + 3*m - m) + (2274 - 2274 + 29*m**2)*(-3*m**3 - 7*m**3 + m**3).\nAnswer: -254*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -103352?\nAnswer: 103347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - n - 10, 16 - 40 = -4*s + 4*n. Is ((-148)\/(-6))\/((0 - s)\/(-12)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -224*n - 10987. Give g(-49).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - c = 0, 2*m + 1001*c - 997*c + 6 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -1)\/((-138)\/25530*-407)?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 4*l - 13 = -6*l, -6*l - 727 = -3*t - 736 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 9*l + 3. Let n be m(-11). Suppose -3*w + 8*w = n. Which is the closest to -2? (a) 1\/4 (b) -0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1f0c04 (base 16) in base 4?\nAnswer: -13300300010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/9 + 1466*o\/3.\nAnswer: 2*o*(o + 2199)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-168)\/(-140))\/((-225)\/750)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 141299110?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-14)\/6)\/(5\/15). Which is bigger: -3 or o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {m: 2, j: 4, p: 6}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1313976 divided by -5\nAnswer: -1313976\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -179*i**2 + 179*i**2 + 8*i**3 + (0*i - 2*i + i)*(-2*i**2 - i**2 + 2*i**2) - i**3 + 2*i**3 - 3*i**3.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6174977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3503 - 3499. Which is the closest to 3? (a) l (b) -2\/3 (c) -0.5 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 708447 is divided by 132.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-133*i + 61*i - 15*i + 3)*(-2*i**3 - 4*i**3 + 4*i**3) to w*i**4 + j*i + b*i**3 + z*i**2 + m and give w.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 15717 and 15716 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/690445655?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -5 (c) -1\/5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4717\/178*12\/7473?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 547 - j**3 - 1121 + 3*j**2 - 3*j**3 - 25*j + 578. Let d(g) = -g**3 + g**2 - 8*g + 1. Determine 7*d(i) - 2*y(i).\nAnswer: i**3 + i**2 - 6*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 308 + -3?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3264, -6370, -9222, -11694, -13660, -14994, -15570, -15262?\nAnswer: -13944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 6*a**3 + 9*a**2 + 4*a + 17. Let v(h) = 7*h**3 + 9*h**2 + 4*h + 18. Let j(f) = 6*b(f) - 5*v(f). List the prime factors of j(-8).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 4:06 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3 + 1. Let c(b) = -3*b**3 + 2*b**2 - 4*b - 3 + y*b**3 + 2*b**3. Let k be ((-3)\/2 + 2)*-6. What is c(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 0*k - 3\/20*k**5 + 0 - k**3 + 33*k**2 + 0*k**4. Let j(t) = -t**2. Determine j(p(v)).\nAnswer: -81*v**4 - 108*v**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 6 = -0*j. Let n be ((-6)\/j + -2)\/(-2). Suppose n = -0*a + 2*a. Solve 4*l + s - 11 = a, 5*l + 3*s + 2*s - 25 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1911 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/14 - 32\/(-14). Suppose x*d + 573 = 3*r, -4*r + 0*d + 764 = d. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 4*o + 5. Let g be c(-5). Let h(b) = 3*b - 4*b - b + 33. What is the remainder when h(g) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 4*f + 4. Let x be n(4). Suppose -x*j + 30 = -2*j. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8924891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2098632528 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 347458918 and 261?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of ((-10)\/3 - -3) + (-2483971)\/(-219)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (426\/(-40328)*-142)\/((-4)\/(-3)*-1).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326846?\nAnswer: 2, 13, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-1))\/((-74)\/592)*-3.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/7 - (-446535)\/105. Suppose 0 = 4*b - g - j, 4034 = 5*b - g - 1281. Is 18 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47302*s**2 - 48138*s**2 + 95395*s**2.\nAnswer: -45*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n**3\/5 - 3617588*n**2\/5 + 39069513*n - 2637182286\/5 = 0. What is n?\nAnswer: 27, 3617534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11068730 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-129)\/(-3))\/((-25)\/(-10)*2\/5).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/(q\/(q**0*q)))\/q)\/(q\/(q\/(q*q**(-2\/3)))))\/(q**(-3\/5)*q**(3\/2))*(q**6*q)\/q*q*q*(q**(6\/7)*q)\/q*(q**(-1))**(5\/3) assuming q is positive.\nAnswer: q**(487\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/247 - 40\/247. Sort 0.1, -9\/5, y in descending order.\nAnswer: 0.1, y, -9\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*q**2 + 0*q**2 + 12 + 3 with respect to q.\nAnswer: 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 + 8 = s. Suppose -4*n + q + 256 = 0, 254 + 66 = 5*n + 4*q. Let l = s + n. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2367470321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 7*q - 7. Let p = 1580 + -1575. Let j(x) = -8*x + 8. Give p*b(y) + 4*j(y).\nAnswer: 3*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5311*w**2. Let i(l) = l**2. Give i(a(d)).\nAnswer: 28206721*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69970 is divided by 291.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 - 6*k + 6*k)*(-5*k + 2*k + 4*k)*(33*k**2 + 6*k**2 - 4*k**2).\nAnswer: -35*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/2 + 6\/(-12). Suppose d*x = -q + 1 - 2, q = 4*x + 17. What is the highest common factor of q and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - j = 4*j - 28, 3*j + 70 = 5*q. Let f = q + -10. Suppose 3*n - 11 - f = 0. Calculate the remainder when 9 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.06246 (b) 0 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 5*w**2 + 6*w + 3. Let r be s(-6). Let f = 77 + r. Solve 0 = 3*p, -v - 5*p = -3*v - f for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-817)\/11008*-16)\/((-4)\/32)?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 576?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - v**3 + 208*v - 196*v - 16 + 8 as n*v**3 + r*v**2 + k*v + j and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = f - 5*f + 10, 0 = -4*f + 3*l + 5. Suppose -f*m = -4*m - 5*k + 11, -2*k - 4 = -2*m. Solve j + m = 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 137.2 - 157. Let i = 19.15 + w. What is i rounded to 2 decimal places?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1065 - 1057.81. Let g = 5.33 + c. Round g to zero decimal places.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18153 is divided by 0 + 64 - (-17 + 8 + 5).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d - 0?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1539)*-2*-2 + 3*(-1 + sqrt(1539)) - (sqrt(1539) + (sqrt(1539) - (0 + 0 + sqrt(1539))**2))*3).\nAnswer: 9*sqrt(19) + 4613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**0\/(i*i\/(((i\/(i**(-2\/21)\/i)*i)\/i)\/i))*((i\/i**1)\/i)\/(i**(7\/4)*i)*(i**2)**(1\/2)*i**(1\/3)*i*i**(1\/3) assuming i is positive.\nAnswer: i**(-167\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2613669 to the power of 1\/2, to the nearest integer?\nAnswer: 1617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 1\/3*i**3 + 0*i**2 + 0 - 44*i. Let o(l) = -23*l. What is z(o(j))?\nAnswer: -46*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.693591 centuries to years.\nAnswer: 569.3591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from auaohauoooauo. Give prob of picking 1 o, 1 h, and 1 u.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + -10. Let i = -33 + h. Put -1, -0.5, i in decreasing order.\nAnswer: -0.5, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -3*i - 2*u - 17, 3*u + 16 = -i. Let v(f) = -168*f + 77. Is v(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 - 26. Let r = -14 - -4. Let j = g + r. Put 2, j, 0.3 in descending order.\nAnswer: 2, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4052025, 4052027, 4052029?\n\"Answer: 2*u + 4052023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*c + 2. Suppose -972*s + 468 = -1089*s. Sort s, c, 3.\nAnswer: s, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3969 = -137*g + 186*g. Calculate the remainder when 708 is divided by g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 2*q**2 + 2*q**2)*(399 - 399 - 3*q**3 + 8*q).\nAnswer: -6*q**5 + 16*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 13*p**2 - 33 - 52 - p**3 + 103 - 13*p. Let c be v(12). Solve 3*k = c*k + 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**4 + 12*q**4 + 2*q**4 + (3*q - 2*q + q)*(-3*q + q**3 + 3*q) + q**2 + q**4 - q**2 + (q**4 - q**2 + q**2)*(-1 + 2 + 0).\nAnswer: 14*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*x + 0*x + 0 + 0 as u*x + b and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gp when two letters picked without replacement from {i: 1, p: 4, g: 9}?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 4 (c) -0.05 (d) 3482 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -9*w**2 - 2*w + 65. Let g(a) = 39*a**2 + 8*a - 262. Let p(f) = 9*b(f) + 2*g(f). What is p(0)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -47 (b) -0.06 (c) -2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.62 in -2\/9, -504, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 1 = -d. What is the remainder when 16\/(-8)*((-190)\/4)\/5 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303*j + 1274 + 686 = -352*j for j.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 22. Suppose -7*t = -5*t - u. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 443 - 441. Let n be 7\/a*(-390)\/(-91). Let 10\/3*c + n*c**2 - 15*c**4 + 0 - 35\/3*c**5 + 25\/3*c**3 = 0. What is c?\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3365584602?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 198275, 793110, 1784509, 3172478, 4957023, 7138150?\n\"Answer: k**3 + 198276*k**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8707 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*o + 133*o = 2*a - 28, -4*o + 5*a = -29. Let b(n) = -n**2 + 3*n + 18. What is b(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 137*r**3 + 822*r. Let i(c) = c. Determine 822*i(t) - m(t).\nAnswer: -137*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1924211.7 months?\nAnswer: 160350.975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a. Let y(u) = -10574*u. Determine y(l(d)).\nAnswer: -10574*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/4)*t)**0\/((t**(-1)\/t*t)\/(t*t*(t**0*t)\/t*t*t)))**(-7\/6) assuming t is positive.\nAnswer: t**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6807, 26906, 60287, 106950, 166895, 240122, 326631?\n\"Answer: 6641*q**2 + 176*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 - 0.9. Let v = 0.4 - w. Let z(k) = -2*k**2 - 60*k - 56. Let t be z(-29). Which is the second biggest value? (a) v (b) t (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 6807.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + -1 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39919 + 2041 = 866*d - 13464 for d.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -166*p + 166*p - 14*p**2 + (-3*p + 4*p - 3*p)*(-2*p + 2*p + p) + 0 + 0 + p**2 - p**2 + p**2 + 2*p**2.\nAnswer: -13*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 5418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 6*d + 5*d = 6, 4*h + 4*d = 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 + 2292 = 6*x. List the prime factors of x.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(1216)*3 + (-3 + sqrt(1216) + -2)**2.\nAnswer: -56*sqrt(19) + 1237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t + 5. Suppose -30*u = 72 - 12. Let j(w) = w**2 + w + 5. What is u*j(p) + 3*n(p)?\nAnswer: -2*p**2 + p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/2)\/(14\/7). Let q be (x\/(-3) - 0) + 2. Suppose -q*j + 20 = 2*j, 91 = 2*v + j. What are the prime factors of v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 90387081?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2002092422?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -1\/7 (c) 2 (d) -3 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v + 22. Let b be c(-7). Is 125\/8 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -101 - -264. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 13*g - 15. Suppose 21*a + 18480 = -0*a. Let t be ((-15)\/(-75))\/(4\/a*-4). Determine h(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5445.812 + 5475. Let g = a - 29. Let p = g + -0.187869. What is p rounded to five dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 13) + (201 - 179)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 445069, 445069, 445073, 445081, 445093, 445109, 445129?\nAnswer: 445153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/186 and 7\/180.\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 a factor of 645826527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 171.2589 milliseconds to seconds.\nAnswer: 0.1712589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 14*z**2 + 7*z + 1. Determine p(-15).\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.93041 minutes to milliseconds.\nAnswer: 2875824.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -695488.31 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 13*j**3 + 11*j**2 - 7*j - 9. Let s(p) = -3*p + 1 - 1 + 0*p**2 + 5*p**2 + 6*p**3 - 4. Suppose 2 = d - 2. Let i = d + -13. Give i*s(r) + 4*o(r).\nAnswer: -2*r**3 - r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 6*s - 11. Let x be j(8). Let a be x*1*(-2)\/(-5). Factor a*c**3 + 0*c**3 + 0*c**3 - 2*c.\nAnswer: 2*c*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(-7)*(o**(-5)\/o)\/o*(o\/((o**(-1\/4)*o)\/o)*o*o)\/(o\/o**(1\/8))*(o**(-2)\/(o**(-7\/5)*o*o))**(3\/5) assuming o is positive.\nAnswer: o**(363\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -167 - -89. Let x(h) = -7711*h - 1. Let w be x(-1). Let p be (-4)\/(-26) - w\/r. What is the highest common divisor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 0*r**2 + 3*r**2 + 5*r - 6*r - 2 - 2*r**2. Let v(l) = -l**2 - l - 1. Suppose -13 = -2*u + 2*s - 5, -2*s - 15 = 5*u. Determine u*f(w) + 2*v(w).\nAnswer: -3*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 bigger than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-55)\/(-5) + -8)\/((9\/(-63186))\/(-1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 4\/33283 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**4\/12 + j**3\/6 + j**2 - 19*j. What is u(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 9*g**2 + g - 6. Let o = -2 - -11. Let n be m(o). Does 13 divide (-1)\/(n\/(-60)) - 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/7 + 12850*n**2\/7 - 20659574*n\/7 + 61863126\/7.\nAnswer: -2*(n - 3211)**2*(n - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 319\/319*((-324)\/28)\/9\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6840 divided by -6\nAnswer: 1140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/59, 3, -1, 0, 5, 2002, 1\/4 in ascending order.\nAnswer: -1, -3\/59, 0, 1\/4, 3, 5, 2002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112120 - 10?\nAnswer: -112200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2698919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 4690.\nAnswer: 9380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 19*r + 2. What is the smallest common multiple of 20 and g(-20)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 + 36835699079\nAnswer: 36835699078.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 98059.05 months in centuries?\nAnswer: 81.715875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a factor of 2225886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 876886579?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49.633417 + 48.6828. Let x = 0.951 + q. What is x rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13290648740*d + 27*d**3 + 27*d**3 + 41 - 13290648740*d - 41.\nAnswer: 54*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1434 divided by -320\nAnswer: -717\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -91*d**6\/120 - 313*d**3\/6 + 67*d**2 - 4*d. What is the derivative of o(l) wrt l?\nAnswer: -273*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d - 22*d + 7986 = 0. Suppose -3914 = -5*s + q + d, 2*q = 10. List the prime factors of s.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-36)\/384*-8)*75\/20.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2827?\nAnswer: 11, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 6)*(0*p**2 + p**2 - 2*p**2 + (-2 + 0 + 3)*(-5*p**2 + 4*p**2 - p**2)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**2 - 123*z + 1. Let s be g(41). Let p be ((8\/s)\/(-72) - 0)*-9. Let w be (-2)\/(-8) + (-22)\/(-8). Put -28, w, p in ascending order.\nAnswer: -28, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 12. Let j be a(-6). Suppose -y = -2*b - 0*b - 1, 5 = 2*y - 3*b. What is the first derivative of j + d**3 - y*d**3 - 3*d**3 wrt d?\nAnswer: -27*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 103225840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, -2\/23, -1, -2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*x - 65*x + 80 = -535 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 14*l - 38. Determine a(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 152600*n**3 + 1199*n**2 + 1199*n + 1199. Let j(d) = 763*d**3 + 6*d**2 + 6*d + 6. Give -6*a(l) + 1199*j(l).\nAnswer: -763*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100111001 - -11?\nAnswer: 1100111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*q**2 + 6*q**2 - 7*q**2)*(-5 + 4 + 0)*(2*q + q**2 - 2*q) to v*q**3 + s*q**2 + y*q**4 + k*q + g and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.308 - -18.608. Let r = a - 16.3. Let k = -0.1 + 0.1. What is the third smallest value in 0.4, k, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 19*s - 21*s = -12, -y + 21 = -4*s for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9608*a**2 + 7160*a - 1 wrt a.\nAnswer: -19216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4811*o**2 + 9539*o**2 - 4726*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2*b = 8. Suppose -k + 128 = 4*i - 3*k, -5*i - b*k = -134. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1430 + -1429.9999383. What is l rounded to 6 dps?\nAnswer: 0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = -o + 309. Let n = o - 101. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(-126) + 45\/(-105)*32\/48?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 5*y - 7, -3250*d + 3255*d + 11 = 4*y for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32139\/40 at most as big as 803?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 2*l - 8. Let f(r) = -r**2 + 3*r - 8. Give -2*f(s) + 3*v(s).\nAnswer: -s**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*l = -85, 5*l - 125 = 2*i - 7*i. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 716327762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 2*c**2)*(3*c - 4*c - c) + (19*c**2 + 9*c**2 - 6*c**2)*(0*c - 7*c - 7*c) in the form d*c**2 + g*c + l*c**3 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sws when three letters picked without replacement from swwws.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/4)\/(o*((o\/(o\/(o*o*(o\/((o\/o**37)\/o))\/o*o)))\/o)\/o*o*o))\/(o*o\/(o\/o**(2\/51))*o**(-4\/9)*o*o) assuming o is positive.\nAnswer: o**(-26221\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - -2*(sqrt(132) - 2*sqrt(132) - sqrt(132)))\/(sqrt(12)*-1*-6))**2*1.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65307*u + 319 = -65296*u for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 94877266?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*1*3\/(-6). Suppose -5*o = 4*v - 51, 2*v + i*o = -2*v + 53. Suppose -4*y + 82 = v. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172528 a multiple of 526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/264 and -89\/240?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**3 - 11*i**2 - 14*i - 2. Suppose 3*l = 2*h, -50 = -0*h + 5*h + 5*l. What is the units digit of g(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40036120 to the nearest 1000000.\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + -0.1. Let f = -1.2 - y. Let j = f - -0.24. What is j rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/4 - (-630)\/(-224) and (((-40)\/(-216))\/(-5))\/((-2)\/354)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6408299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11089 plus 4?\nAnswer: 4.11089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r**2 + r + 1. Let u be y(-5). Let w = -202 - -213. Calculate the greatest common divisor of w and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1154, 420, -314, -1048, -1782, -2516?\n\"Answer: -734*s + 1888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -145769*f**4 + 254*f**2 + 30.\nAnswer: -3498456*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 594*m - 353*m - 4456*m in the form c*m + b and give c.\nAnswer: -4215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 6 = 6*i - 3*l, 2*l + 4 = 0. Let o = i - -2. Sort o, -5, -2 in increasing order.\nAnswer: -5, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57*a - 73*a + 44*a)*(-3*a - 2*a + 0*a) - 4*a**2 + 6*a**2 - 3*a**2.\nAnswer: 429*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 6183198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43159303 by -11.\nAnswer: 3923573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwwwwwwwgpgwwpw. What is prob of picking 3 g?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-6)*6*4\/(-24).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 92455.22l in millilitres?\nAnswer: 92455220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-3) + 4 + -2. Suppose l = 2*i - 3*i + 28. Let f be (-8)\/28 + (-6)\/i. Is f equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 17 = -28. Suppose -51*z = -g*z - 12. Solve -w + 15 = -4*r, -2*r = -3*r - z*w + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -103 - -64. Which is greater: -40 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 8\/3*f**2 + 31\/9*f**3 - 4\/3*f + 51 + 11\/12*f**4. Factor m(r).\nAnswer: (r + 1)*(r + 2)*(11*r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 839 + -838.613. Let t = o - 0.566. What is t rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2358 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 286133 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 293.9314 + 0.0686. Let j = -294.00002174 + m. What is j rounded to 6 dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 89\/5 - (-1)\/5. Let b = f - 123. Let w = 316 + b. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83916 by 148.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 12*d**2 - 20*d.\nAnswer: -d*(d - 10)*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.4 - 1.6. Put 2, s, 3 in increasing order.\nAnswer: s, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82536000 by 41268000.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12082312?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 886.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (13303 - 30858 + 14838)*(-a**4 + 0*a**4 - a**4) + (-8*a**4 - 14*a**4 + a**4)*(-4 + 3 + 3) as t*a**2 + p*a**4 + i*a**3 + y + h*a and give p.\nAnswer: 5392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*197\/10 - 22\/55. Let f be (-53)\/(-2) - (3\/2 - 1). What is the highest common factor of u and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -20055294, -20055344, -20055394, -20055444, -20055494, -20055544?\n\"Answer: -50*j - 20055244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456315 is divided by 55.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 5:19 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -184.2267927 - 0.06.\nAnswer: -184.2867927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -5 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**3 - 4*s**3 - 2*s**3)*(-s - 2 + 2) - s - s**4 + s.\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a - 114. Let q(o) be the third derivative of 5*o**4\/12 + 41*o**2 - 10. Calculate r(q(t)).\nAnswer: 20*t - 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -0*z + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -3*u + 24, 933*u - 3*j = 928*u - 32 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 12:46 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18271 by 1.\nAnswer: 18271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -77770200 rounded to the nearest 1000000?\nAnswer: -78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 128 + -75. List the prime factors of t.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(2205) - sqrt(45).\nAnswer: 5 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 + -230)*(-3)\/6*3. Suppose 314 - i = -5*a. Solve a*p - 4 = -b, -7*b + 4*b + 12 = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 34*z + 4. What is the units digit of x(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1917, -2503, -3475, -4833, -6577, -8707, -11223?\n\"Answer: -193*l**2 - 7*l - 1717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14473 + -14480. Which is the nearest to -0.1? (a) r (b) -2\/15 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -18. Let r(x) = 3*x**3 + 27*x - 16. Let z(q) = -4*q + 2. Let k(u) = r(u) + 6*z(u). Let o(a) = -3*a**3 - 4*a + 5. What is h*k(i) + 4*o(i)?\nAnswer: 3*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 14055 (base 6) to base 15\nAnswer: 9b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p + 2. Let g be z(7). Let w = g - -21. Solve 2*q - 4*q - w = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**3 - 96*j**4 + 193*j**4 - j - 96*j**4 + j**2 to the form b*j + g*j**2 + u + y*j**4 + r*j**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17, -29, -61, -125, -233, -397, -629, -941?\n\"Answer: -2*w**3 + 2*w**2 - 4*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -14. Let o be z + 2\/(-3)*3. Let v(x) = -x**3 + 2*x**2 + 3*x. Determine v(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 93 + 47 = 0. Let k = d - 29. Solve 2*c + 4 = k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-35)\/r**(2\/25))**(-47) assuming r is positive.\nAnswer: r**(41219\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 241 times 3\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16784?\nAnswer: 2, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 715188 and 498406.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 38*n**2 + 79*n - 22. Let y be f(-40). Let x(h) = -2*h**2 + 35*h + 27. What is the remainder when x(y) is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3117 - 916. Calculate the highest common factor of b and 213.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 15 = 5*v, c + v + v + 4 = 0. Let w = 5 + c. Factor 0 - 1\/2*q**w + 0*q - 5\/2*q**4 - 2*q**5 + 0*q**2.\nAnswer: -q**3*(q + 1)*(4*q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/11, 3, 6\/233?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u - 12. Let z be j(-21). What is the greatest common divisor of 81 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4317 - 4315. Solve s*y = 22*y - 40 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1112, 1938, 2154, 1454, -468, -3918?\nAnswer: -9202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 960424347.13014 - 960412324. Let l = y + -12023. Let q = l - 0.13. What is q rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*a - 204 = -5*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -9*s**2 - 2*s - 46. Determine t(8).\nAnswer: -638","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.8 + -6.6. Let f = 5.346 - u. What is f rounded to two dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 282.06 - 278. Let x = 0.06 - r. What is the biggest value in -1\/5, 3\/4, x?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) -10 (b) -9 (c) 3 (d) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 31*o - 58. What is the greatest common factor of o and 212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -19*n**4\/24 + 3*n**2. Let s(r) = r**2 - 3*r - 6. Let d(g) = -g**2 + 2*g + 4. Let o(t) = 3*d(t) + 2*s(t). Determine o(p(c)).\nAnswer: -361*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4 = -0. Let m = d - -8. Let o(c) = -c**3 + 4*c**2 + 4*c + 4. List the prime factors of o(m).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36695 is divided by 101.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1360 - 1364. What is the biggest value in 8, 4, 2, c?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*m**3 - 14*m**3 - 27*m**3 + (m**2 - 6*m**2 + 0*m**2)*(3*m - 2*m - 3*m) + 0*m**3 + m**3 + 0*m**3 to the form s*m**3 + q*m**2 + o*m + a and give s.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/((j**(1\/26)*j*j)\/j))\/(j*j*j\/((j*j*j\/j**(-5\/4)*j*j*j*j*j*j)\/j)*j))\/(((j\/((j*j**(-1\/11)*j)\/j))\/j)\/j**(1\/4)) assuming j is positive.\nAnswer: j**(1054\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18777616*k**2 - 15062035.\nAnswer: -37555232*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z + 3. Let y be n(-2). Let b be 8\/10*y\/(-2). Suppose 8 = 2*t + b*t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23916*n**3 + 33*n - 107*n + 35*n + 38*n.\nAnswer: -23916*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/250 and 81\/40?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1323 - 42340343?\nAnswer: -42342221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ad98 - 2?\nAnswer: -ad9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -434103 and -434106 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*v + 21, 0 = -3*h + 2*v + 2*v + 29. Let p be ((-5)\/(-25))\/((-1)\/(-6)). Factor -p + 4\/5*r - 4\/5*r**h + 6\/5*r**2.\nAnswer: -2*(r - 1)*(r + 1)*(2*r - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 4*f. Suppose 4*p + 24 = 4*t, 3*p - t + 5*t - 10 = 0. Put p, 1, f in decreasing order.\nAnswer: 1, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.916453 centimeters in nanometers?\nAnswer: 59164530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 792*k**6 + 1635*k + 1393*k**6 - 1635*k - 1787*k**2 wrt k.\nAnswer: 262200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 15, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(133)\/(sqrt(42)\/sqrt(6)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, u: 4}. Give prob of sequence yuy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5b1 (base 16) to base 15.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 436004, 872263, 1308520, 1744775, 2181028, 2617279, 3053528?\nAnswer: 3489775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/1*(-150)\/75?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -48494*t - 49992*t + 100088*t + 32 wrt t.\nAnswer: 1602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 - 10*z + 8. Let a = 0 - -6. Let x be t(a). Suppose 3*u = 2*u + x. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -11?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 12:49 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*2*sqrt(5))**2 - 3*(sqrt(5) + sqrt(5) + -2)) + (-2 + (sqrt(5) - (sqrt(5) - -5*(sqrt(30)\/sqrt(6) - sqrt(5)))))*2.\nAnswer: -6*sqrt(5) + 722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*j - 44 = -35*j. Suppose -j = -4*r + 1. Solve 2*m + c - 4 = -16, -4*m - r*c - 26 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*x + 99*x - 51*x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 8:59 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -m + 46. Suppose 0 = 5*k - 3*v - m, 0 = 4*k - 2*v - 2*v - 92. Is k a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60922 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (9 - (5 + 10 + -6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 2. Let h be -51*(8\/(-6) - -1). Let t = d + h. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40998.1068 seconds in weeks?\nAnswer: 0.067787875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -5*u + 8 + 1, -u = -2*m - 7. Let q = 0.0116 + -4.0116. Sort q, -0.6, m in decreasing order.\nAnswer: -0.6, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82\/1949901 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/1 + -3)*(-12)\/8. Let i(o) be the third derivative of 0*o + 1\/4*o**4 + 0 - 1\/15*o**5 - 1\/3*o**c - o**2. Solve i(u) = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -350598 divided by 58433.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 1908618 + 1112*z**2 + 5982*z**2 - 1908620 as i*z + f + w*z**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 4*j + 3. What is q(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-13 - (-22 + 12) - -15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-504)\/(-11) - 16\/(-88). Suppose -5*d - p - 44 = 0. Let o = 23 + d. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -15, 0, -4 in decreasing order.\nAnswer: 1, 0, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 352, -0.01, 5, 2, 2\/21 in ascending order.\nAnswer: -0.01, 2\/21, 2\/3, 2, 5, 352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.5 - 30.5. Let h = p + 39. Let u = -1 - -0.8. Which is the nearest to -1? (a) u (b) 0.2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.218, 2, -17121 in increasing order.\nAnswer: -17121, 0.218, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -397 + 796 - 414 - 10*w + 59*w**2. What is the tens digit of x(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -4*a + 225313 - 225327, 2*a = -2*m + 14 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 4*v + 8, 2*v - 4 = 5*b - 2*b. Suppose 0 = 7*x - b*x - 119. Suppose 3*l = -3*r - 6, r - 5*r = l + x. Solve -2 - 1 = -l*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*u - 262 - 8 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00804800816 rounded to 5 dps?\nAnswer: 0.00805","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 74.8 and -5.7.\nAnswer: -426.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12685?\nAnswer: 5, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2622681 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -8, 0*y + 4*y - 16 = -2*g. Suppose 0 = 4*v + v + 4*a + 362, g = 3*v - 4*a + 198. What are the prime factors of (-100)\/v*(49 + 0)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 3*v + 4. Let i be t(4). Let s be (0 + (-1 - 1))*i. Let n be 4\/s + 18\/8. Is 3 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 90?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 6*u**2 + 7*u + 2. Let x be t(5). Let y = 10 - x. Let l be (-3)\/(-2) + (-43)\/y. Solve -g + l = -2*b - 3*b, 5*g - 5 = 3*b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 4:35 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-3))\/((-12)\/27). Solve -8*f - 20 = -j*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*f - 1, 2*m + 7*f = 5*f + 26. Let h = m - -3. Let u be (-402)\/(-9)*3 - 2. What is the highest common factor of u and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 378*k + 1039 - 255 - 228 wrt k.\nAnswer: 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1544\/5 - -308. Which is the closest to -0.3? (a) y (b) -1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35367 + 8*a**3 - 2*a**4 + 3*a**4 - a - 35360 to v + k*a**3 + z*a + w*a**2 + r*a**4 and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 61701821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 25*q - 25*q - q**2 - 20*q**3. Let a be j(-1). Suppose k + a = 2*k. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 992 + -1025. Which is the second smallest value? (a) r (b) 3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3419 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 6*g - 10. Let k = -136 - -135.9. Let z = 1072 - 1066. Which is the nearest to g? (a) z (b) k (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 5*x - 252, 4*x + 54 = 5*x + 2*c. What is the greatest common divisor of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 7:51 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 33*u - 995. Give l(-52).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 456 and 285?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -24. Suppose k + 2 = 0, -5*b + s*k = 7*k + 10. Let d(u) = 2*u - 7. Let p be d(5). Solve -i + p + 1 = b for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -16*m + 87. Let f(w) = -7*w - 2*w + 18*w - m*w - 7*w. Let y(s) = 2 + 5*s**2 - 2. Calculate y(f(b)).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2535153703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**3 - f**2 - 19*f + 19*f + 2 + 10*f to q + m*f + r*f**3 + h*f**2 and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.2 + -1.1. Let c = v - 1.10032. What is c rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 2, 8, -3, -5 in descending order.\nAnswer: 8, 2, -3, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -7*w. Let i(y) = 15*y + 10. Let s(j) = -76*j - 48. Let c(z) = 24*i(z) + 5*s(z). Determine c(n(u)).\nAnswer: 140*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6534 - 8106. Which is bigger: -1571 or t?\nAnswer: -1571","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5213*x + 2*x**3 - 290*x**2 - 3 - 2605*x - 2611*x - 3*x**3 to s*x**3 + g*x**2 + z + a*x and give g.\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 37. Calculate the remainder when 25 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 180 + -179.8. Let h = 1 + -1.2. Sort h, a, 4 in increasing order.\nAnswer: h, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 5*t + 3. Let u be w(-5). Solve 5 - 20 = -u*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*f*i**2*y**3 - 57*f*i**2*y - 1461*f*i*y**3 - 4*f*i*y - 2*f*y + 9*i**2*y**3 wrt i?\nAnswer: 26*f*y**3 - 114*f*y + 18*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6436802 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -9*n**2 - 17*n - 5. Let d(k) = -5*k**2 - 9*k - 3. Let w(c) = -7*d(c) + 4*x(c). Let m be w(-4). Let 2*l**5 - 3*l + l**3 + m*l - 5*l**3 = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5179 or -15536\/3?\nAnswer: -15536\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1290867433.\nAnswer: 23, 37, 1516883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1097 + 988 = -2*r, 0 = -d - 5. Let p = 1466 + r. What are the prime factors of p?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13472 + 110?\nAnswer: 13582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*i**3 + 40*i**2 + 13*i**2 + 5*i**5 + 35*i**4 - 8*i**2 = 0. Calculate i.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, w: 9}. What is prob of picking 2 w?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1)\/u*u)\/u)**(-2\/3))**(1\/35) assuming u is positive.\nAnswer: u**(4\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1255*a**4 + 668*a**2 wrt a?\nAnswer: 30120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -40*x - 5. Let v(w) = -39*w - 4. Give -4*r(d) + 5*v(d).\nAnswer: -35*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 2*d - 5. Let u(m) = m**2 + 79*m - 13. Give 3*s(h) - u(h).\nAnswer: 2*h**2 - 73*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13650 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 39\/12 + (-2)\/8. What is the first derivative of a**2 + 0 - a**2 + v*a**2 - 3 wrt a?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o - 1. Let m(p) = p**2 + 9*p - 6. Let q be 50\/(-5) - (0 + -3). Let z be m(q). Let r be (35\/z)\/(2\/(-8)). What is n(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -6*g**3 - 8*g**2 + 11*g. Let n(k) = 2*k**3 + 3*k**2 - 4*k. Determine 4*m(j) + 11*n(j).\nAnswer: -2*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -211 (base 5) to base 12\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (43\/387)\/((-15)\/(-2565))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 500 = 460. Let u be 3 + (-2 - -1) + t\/(-88). What is the third biggest value in u, 1\/7, 0.1, -2\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 50 = -h, 3*h - 132 = -3*t + 18. Solve -3*s + h = 7*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-6)\/15*480\/48\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 j when three letters picked without replacement from {u: 5, z: 1, j: 2, y: 6, g: 3, e: 2}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240*f - 200*f - 3 - 361*f + 3.\nAnswer: -801*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 923, 1139, 1355?\n\"Answer: 216*g + 707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -p**6\/24 - 23*p**5\/12 + 5*p**4 - 75*p**2. Factor j(u).\nAnswer: -5*u*(u - 1)*(u + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62 + 62. Let c(l) = l**2 - l + 4. Let s be c(0). What is the closest to t in -2, s, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 17 = -5*v, -5*v - 2*m = -v - 10 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 688 = -35*y - 199 + 12 for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 170 - 170 - 9*a**3)*(-108 - 4*a + 108).\nAnswer: 36*a**4 + 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 74.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 7995644.9548.\nAnswer: 7995646.9548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 3 - (-3 + 7 + -1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 38*i - 30*i + 132*i - 12*i + i**2 in the form y*i + l*i**2 + c and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 319337694 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 6310?\nAnswer: -6309.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 d when three letters picked without replacement from dugggxxaaxx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**3*o**3*q - 393*k**3*o*q**2 - 2*k**3*q + k**2*o**2*q + 3*k*q**2 - 425*o**3 wrt k.\nAnswer: 6*o**3*q - 2358*o*q**2 - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**4\/12 + 22*m**3\/3 + 12*m - 139. Let a(v) = 2*v - 4. Determine t(a(u)).\nAnswer: 4*u**2 + 72*u - 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - t + 1 = 0, 2*a + a = -5*t - 9. Let w = 218\/3 - 869\/12. Solve -1\/4*o**3 + w*o + 0 + 1\/4*o**a - 1\/4*o**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 382 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a kilogram in grams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -54*i**2 + 8157*i + 114636.\nAnswer: -3*(i - 164)*(18*i + 233)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40032 + 2?\nAnswer: -40030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 + z - 4. Give p(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -420*g + 66100 = -370*g. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7657 and 5886.\nAnswer: -4506.9102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 8 + 7 - 86*d + (7*d + 13 - 13)*(2 + 4 - 5) in the form i*d + t and give i.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (44\/8)\/(5\/3100)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-218)\/(-2) - (-6214102)\/(-53242).\nAnswer: -54\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 - 4. Let x be (-4)\/6 + 8\/3. Let d(h) = x + 10*h**2 + 2 + 8 + 9. Let a(j) = -2*d(j) - 11*z(j). Differentiate a(s) wrt s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (-5*(sqrt(13) + 3))**2 + ((sqrt(156)*1)\/sqrt(12))**2.\nAnswer: 151*sqrt(13) + 563","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31288, -44830, -58372?\nAnswer: -71914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**4\/3 + r**2\/3 = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/39257?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5340 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4803260 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 2*q**2 + 2*q + 1. Let h be b(-1). Suppose -f + 4*g + 19 = h, -f + 2 = g + 3. Solve -f*s + 6*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*((-165)\/(-18))\/(-11). Solve 3*j = c*j + 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 6:14 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 1.52, -0.3?\nAnswer: 1.52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2908 and 0.2.\nAnswer: 581.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in 0.02, -5, -148052?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 23*v**2 - 24*v. Let c be 10\/(-2) - -8 - 1*27. Let p be q(c). Solve 4*x + 0*x + 2*f + 18 = p, -3*f = 2*x + 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 3 (b) -117 (c) 2\/11 (d) -0.04 (e) 1.68\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5*b - 19. Let s(o) = 3*o + 10. Let a(q) = 4*c(q) + 7*s(q). Let d be a(8). What is the tens digit of (-141)\/(-12) + d\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -52995*q + 50925*q + 29082*q as d + b*q and give b.\nAnswer: 27012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 10 = -2*i, -2*x = -0*x + 2*i - 4. Let z = 0.2533 + 1.0367. Which is the second smallest value? (a) -3 (b) z (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -1278*a**2. Let d(r) = -105*r**2 - 2*r. Give d(o(j)).\nAnswer: -171494820*j**4 + 2556*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3780 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 1\/3 (c) 22 (d) 42.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302222*u = -301803*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8227? (a) 3\/4 (b) -2 (c) -0.127\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5603?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3452 is divided by 108.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 - -61. Suppose -u = o*u. Which is greater: u or 0.45?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286.0434 rounded to 0 decimal places?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, q: 1, d: 1}. What is prob of picking 1 q and 1 i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -9, -360, -3\/4.\nAnswer: -360, -9, -3\/4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22763475 + -3?\nAnswer: -22763500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/54 and -121\/156.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(864)*2)\/sqrt(2).\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 317512 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1872 - -1894. Solve -7*s - 13 = x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - d = 192. Let u(l) = -d + 24 + 6*l. Suppose -5*i = -4*i + 3. Let p(v) = -v. Determine i*p(g) - u(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3110, -12399, -27888, -49583, -77490, -111615?\nAnswer: -151964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 17 = -4*l, 518*d - 514*d = -5*l - 24 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7820, 31232, 70252, 124880, 195116?\n\"Answer: 7804*w**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -2223, -28 in descending order.\nAnswer: 3, -4, -28, -2223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62494, 124988, 187482, 249976?\nAnswer: 312470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 315*r**3 + 67*r**3 + 3 - 122*r**3 as g + k*r**3 + m*r + d*r**2 and give k.\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -82, 7.\nAnswer: -82, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 108 + -113. Let z(m) = -m**3 + 3*m**2 + 10*m - 4. Let t(u) = 2*u**3 - 6*u**2 - 20*u + 9. Let p(b) = 4*t(b) + 9*z(b). Does 29 divide p(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7096?\nAnswer: 2, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 754687527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 615 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4341342 + -431?\nAnswer: -4342323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 10*l + 2 - 3*l)*(-l + 2*l + l).\nAnswer: -30*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352127801.\nAnswer: 449, 784249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-105 - -50 - -2) + 82?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04178 and -2?\nAnswer: -0.08356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*i = -42*i + 44 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**2 + n + 2. Let o be q(-2). Suppose 84*u = -37*u + 20449. Suppose -25 + u = -o*h. Put -2, -4, -3, h in decreasing order.\nAnswer: -2, -3, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*b + 8 = -53*b, -5*v + b = 38. Suppose -k = -3*n + 10, 5*n + 0*k + k = 22. Put n, -4, v in decreasing order.\nAnswer: n, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23660 and 6790?\nAnswer: 2295020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 4. Let p = -3 - -5. Let s = p + -1. Which is the closest to 2? (a) s (b) -2\/7 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16920103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 4\/3 (c) -1\/3 (d) 1 (e) 0 (f) 5533 (g) 269\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/2 + 11*y**2 + 111*y\/2 + 45.\nAnswer: (y + 1)*(y + 6)*(y + 15)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(-2)\/36 + (-323)\/(-171). Let y be ((-7)\/a*54\/14)\/(-12). Find s such that -15\/8*s**2 + 27\/8 - y*s - 3\/8*s**3 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/8*(19 - 31). Suppose -i*x + 22*x = 115. Let r = x - -277. What is the greatest common factor of 49 and r?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2279503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 22*u**3 + 5*u - 6. Calculate l(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3873?\nAnswer: 3, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v + 7*v + 3257367 - 3*v**3.\nAnswer: -3*v**3 + 3257367","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2 = 0, -2*a + 5*y - 4*y + 888 = 0. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5*j - 5. Let f be r(2). Let w = -4589 + 4588.97. What is the second biggest value in f, w, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1922545 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -14\/159 (b) -0.047 (c) -14\/9 (d) -0.3 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.2 - -0.2. Let a = 561 + -2807\/5. Does p = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - ((20 - 2) + -12 + -9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(304) + 0 + -1*sqrt(304) - sqrt(304)) + ((sqrt(95) - sqrt(95)*1)*2)\/(-2*sqrt(405)))**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bw when two letters picked without replacement from {k: 1, w: 1, b: 2, q: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*p = -38*p + 2. Suppose -4*y = p*j - 22, -5*j + 24 = -2*j + 3*y. Suppose -j*r - 4*a = -680, r + 3*r = -4*a + 540. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 422 - 420. Which is the closest to p? (a) -5 (b) 0 (c) -18 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 4.5. Let x = -1.3 - -0.9. Which is the third biggest value? (a) l (b) x (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xmfxbmzbxfxbfmzzmbb. Give prob of sequence zbm.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1994 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a. Let b(l) = 865*l + 1. Give b(z(m)).\nAnswer: -2595*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2002222 + 121?\nAnswer: 2010120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43055 is divided by 630?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -1\/30*c**5 - c**2 - 1\/120*c**6 + 0 - 1\/24*c**4 + 0*c**3 + c. Let d(y) be the first derivative of j(y). Factor d(t).\nAnswer: -t*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**3*m**2 - 390*k**3*m - 231*k**3 - k*m**2 + 760*k*m + 2*m**2 - 24*m wrt k.\nAnswer: -6*k*m**2 - 2340*k*m - 1386*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.08 from -1493406528.\nAnswer: -1493406527.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -5324*l**3\/3 + 5802*l + 5779. Differentiate f(p) wrt p.\nAnswer: -10648*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*w = -20, 23 = 2*q - 16*w + 13*w. Put 6, -4, 2, 3, q in ascending order.\nAnswer: -4, 2, 3, 6, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*f = 36, f + f = 3*n - 76. Let o be (-8 - (-256)\/n)\/(4\/14). Suppose 3*q - 14 = c, 0*q - 6 = -3*q - 3*c. Solve 8 = o*s + q for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 940.5 - 1362. Let o = b + 421. What is the third biggest value in -2, -0.1, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.952427 rounded to 2 decimal places?\nAnswer: 12.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - f - 2*h = -8, 3*f = -4*h - 4. Suppose -g - f + 2 = 0. Let b be ((-24)\/(-9) + g)*6. Put 0, 3, b in decreasing order.\nAnswer: b, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -1186, 17, 4 in increasing order.\nAnswer: -1186, -43, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 738 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.95 - -0.05. Which is the closest to 0.1? (a) 1 (b) r (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -10*d - 4880. Let n(b) = 2*b. Determine n(v(c)).\nAnswer: -20*c - 9760","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-11 + -11 + 30).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -29, -7, 15, 37?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 4*f - 2*f)*(-2 + 2 - 1) - 2*f + 2*f + 3*f + (-1 - 3*f + 1)*(85 + 514 - 101) - f + 4*f - 2*f.\nAnswer: -1488*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1707 is divided by 303.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4927474.8ns to hours.\nAnswer: 0.000001368743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5381613009 to the power of 1\/5, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 2 + q + 6*q**2 - 5*q + 4*q. Let p be n(6). Let h be -9*p\/(-3)*3. What is the greatest common factor of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -14265, -5, 0.74?\nAnswer: 0.74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of 3479*n**4\/12 + 5*n**3\/6 - 7*n. Suppose 4*m = 4*y - 16, 0*y + 4*m = y - 1. Let b be q(y). Round b to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2542983006 to the power of 1\/5, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3690 divided by 261\nAnswer: 410\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -1122*o**3 - 1033*o**2 - 8. Let f(v) = -374*v**3 - 345*v**2 - 3. Let r(w) = -8*f(w) + 3*k(w). Find the third derivative of r(j) wrt j.\nAnswer: -2244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -120*p**2 + 198*p + 397. Determine r(-2).\nAnswer: -479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -1.99?\nAnswer: -7.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 smaller than -4.944?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6655 - 4608. Is 2051 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {n: 2, j: 5, u: 1, e: 1, o: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 51359741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 429 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 159072 to the power of 1\/2, to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 234 divide 39800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 7*m - 2. Let x be b(-6). Let q be (-32)\/40*5\/(-2). What is the third derivative of q*t**2 + t**2 + t**x + 0*t**4 wrt t?\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/20 and 143\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/15, 3, -7, -0.1, -9\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4287*v**3 - 2*v**2 + 2*v + 433881?\nAnswer: 12861*v**2 - 4*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 50*w**2 - 7*w - 7. Let q be g(7). Let i = q + -1487. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 + 3a33?\nAnswer: 3a43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2055, 4381, 7215, 10815, 15439?\n\"Answer: 43*u**3 - 4*u**2 + 2037*u - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v\/(v**(2\/35)*v*v))\/v*v)**(9\/8))**39 assuming v is positive.\nAnswer: v**(-351\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 418\/117 or 5?\nAnswer: 418\/117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 66*m + 1053. Give g(-26).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 k, and 1 b when three letters picked without replacement from kkkbnzhkk.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 25. Let x = 11 - d. Let h(o) = -3*o**3 - 7*o**2 - o - 5. Let c(b) = 7*b**3 + 17*b**2 + 3*b + 9. Let k(f) = -2*c(f) - 5*h(f). Give k(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50.21 + -50. Let b = -0.4 + i. Let v = -1.19 - b. Put v, -2\/15, -0.4 in decreasing order.\nAnswer: -2\/15, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u + 8*u - 15638 = g - 15645, 0 = -4*u - 5*g + 11 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 + 3781*l - 22750. What is j(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 8. Let r = -17.68 - 0.32. Let f = -13 - r. What is the nearest to w in -1, f, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009783 to six dps.\nAnswer: 0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/3)*o**(1\/2))\/((o**6\/o)\/(o\/(o*o\/o**3))))\/(o**(-2\/19)\/o**(-1\/4)*(o**(2\/3)\/o*o)\/o**7) assuming o is positive.\nAnswer: o**(255\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 220541?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6391290 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -168 + 56. Let j = 6952992.699949 + -6952880.7. Let o = j + h. What is o rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -225218\/13 - -224315321\/12948. Find the common denominator of 11\/332 and t.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 44*j**3 + 9*j**2 + 9*j + 9. Let f(x) = 11*x**3 + 2*x**2 + 2*x + 2. Calculate -9*f(m) + 2*h(m).\nAnswer: -11*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r**3 - 2*r + 1. Let c be j(1). Let w = 13 + c. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*f - 38*f - 61 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a**2 - a - 1. Let p(k) = -216*k**2 - 45*k - 45. Calculate 135*g(z) - 3*p(z).\nAnswer: 243*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1486086515?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 99973 times -2?\nAnswer: -199946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3445072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*o - 35*o = 157 + 93. Factor 1\/4*a**o + 3\/4*a + 0.\nAnswer: a*(a + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 14 = 2*h, -4*v + 5 = 3*h - 2. Suppose -v*c - 5*r + 10 + 5 = 0, -3*r + 9 = 0. Do -2 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(68) + -5 + (sqrt(119) - (-6*(1*sqrt(119) - sqrt(119)) + sqrt(119) - sqrt(119)))\/(sqrt(1008) - sqrt(7)))*3.\nAnswer: -15 + 531*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*((-6)\/4)\/(300\/(-40)). Sort p, -4, 11\/2 in descending order.\nAnswer: 11\/2, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -1, 30, 9, 3, -2 in decreasing order.\nAnswer: 30, 25, 9, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2412298 times -4?\nAnswer: 9649192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) 4 (c) 2 (d) -262 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - -9)*(-137)\/(-5). Suppose -5*p + 2118 = -z. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(117) - sqrt(117)*2) - sqrt(117))\/sqrt(9) - sqrt(156)\/(sqrt(12) - sqrt(48)*-5))**2.\nAnswer: 79092\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32 + -44121?\nAnswer: -44153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 401*w - 2071*w - 40346 = 33134 for w.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/1890 and (-1515)\/324*(15613\/(-1300) + 12).\nAnswer: 15120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**2 - 1. Let p(y) = -7*y**2 + y + 2. Let g = -11 - 23. Let r be g\/(-6) - (-10)\/(-15). Suppose j + r = -0*j. Calculate j*d(k) - 2*p(k).\nAnswer: -k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 12*j + 5 = 13*j, -5*j = 2*f + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -19*u + 23*u - 16, -5*j + 2*u = -10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 10, 3*g = 5*n - 227 + 63. Suppose z = -n + 93. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 3 - 2)*(-2 + 2 + 1)*(p + 2*p - 4*p)*(2 - 1 + 1 + (-1 - 4 + 3)*(1 - 4 + 2) - 4 + 1 + 1) in the form w*p + n and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 2508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20089 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 4*l + 85*l**3 - 87*l**3 + 5*l + 2*l**2 to the form g*l**3 + x + b*l**2 + j*l and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(160))\/sqrt(10))\/sqrt(2))\/((sqrt(44)*-1)\/sqrt(11) - (sqrt(24)*-2)\/sqrt(6)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-804)\/(-78))\/2 - 5\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91\/3, 2, -1, -0.4 in increasing order.\nAnswer: -1, -0.4, 2, 91\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 3176698746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187 = 32*o - 3*g - 95, 2*g - 3*g - 40 = o + 2*g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**2. Let v(c) = 39*c**2 + 13. Let o(d) = -19*d**2 - 6. Let u(k) = 13*o(k) + 6*v(k). Give p(u(z)).\nAnswer: 507*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -14*p + 3. Let s(n) = 5*n - 1. Suppose 0 = -3*r - g + 12, 0 = -3*r - 0*r - 2*g + 12. Determine r*d(f) + 11*s(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 418 divide 32210097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 49, 75, 101?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6*10*(-12)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjuonjjnnuj. What is prob of sequence nc?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/3)*b)**(-9)*b*b**19*b**30 assuming b is positive.\nAnswer: b**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6}. Give prob of sequence oooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 19.46 * -0.42\nAnswer: -8.1732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67774 and 3241308.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/((-3480)\/(-406))*-1*3*-3.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.8 (b) 2.7 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4 + 12*i**3 + 144*i**2 - 960*i + 1536.\nAnswer: -3*(i - 4)**3*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -21*m**3 + m**2 - 1. Let y be j(-1). Calculate the highest common divisor of 14 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 199750268 to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10660319*x**2 + 132209*x - 33.\nAnswer: -21320638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.025 + -0.02. Let l = 0 - o. Round l to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 20 = 0, -7*n = -9*n + 5*c + 188380. Round n to the nearest one thousand.\nAnswer: 94000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1092 and 611832.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3267 in -18, 2\/7, 4, 2?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67 - 66.6. Are a and 10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 76*b - 415. Let p be g(-9). What is the greatest common divisor of p and 564?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56552*m + 0 - 3 - 57299*m + 1 - 1 - m + (2*m + 0*m - 4*m)*(2 - 3 - 1) to the form v*m + t and give v.\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1336, 1346, 1362, 1384, 1412, 1446?\nAnswer: 1486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 5:15 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**3 - 41*f**2 + 954*f - 22551. Give k(22).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -4. Suppose -5*o - 20 = 0, m*o = -f + 4*f - 946. Let c = -214 + f. Calculate the greatest common divisor of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 289130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2*t + 460, -3*t + 508 = -4*h - 433. Let z = h - -224. Which is smaller: -8 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2492 and 12292?\nAnswer: 1093988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -50, -76?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11\/46 or 0?\nAnswer: 11\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2296.334 millilitres?\nAnswer: 2.296334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 166?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 370*m = 386*m - 80. Let l(i) = i**2 - 3. Let k(b) = -2*b**2 + b + 7. Give m*l(o) + 2*k(o).\nAnswer: o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**3 + 34*h**2 + 59*h - 67. Give a(-15).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4\/7, 1.45, -5, -1\/7, 4 in increasing order.\nAnswer: -5, -4\/7, -1\/7, 1.45, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -108, -204, -360, -588, -900, -1308?\nAnswer: -1824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (782\/15)\/(-17)*(-1980)\/132?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**2 - 3*b**2 - b**2 + (-13 + 5*b + 13)*(3*b - 6*b + 2*b).\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/(-85))\/(3\/((-24)\/(-4))). What is the closest to 0.24 in 5, -0.2, g, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 5:19 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -15\/43 (b) 2\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -15*o**4 + 694*o. Let g(k) = -3*k**2. What is g(l(h))?\nAnswer: -97200*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 140*i. Let k(q) = 3*q**2 - 289 + 289 + 4*q**2. What is p(k(w))?\nAnswer: 980*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 157.59247 + -157.6. Round s to four decimal places.\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvffffvvc. What is prob of picking 1 x and 2 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen sixths of a year?\nAnswer: 34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence relt when four letters picked without replacement from {r: 1, k: 3, h: 1, e: 1, l: 5, t: 2}?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000028417114625 to 6 decimal places.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0*f - 22 = 2*f, 39 = -5*r + 3*f. Let n be 4\/(-6) - (-30)\/r. Is 4 a factor of (-4 - -2)\/(2\/n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/70051 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 1, -601, -1, -6 in decreasing order.\nAnswer: 3, 1, -1, -5, -6, -601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11364 (base 7) to base 8\nAnswer: 5571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -19 - -12 - (-3 - -13)) + 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8193760*n**2 - 13*n**3 - 29*n + 29*n + 8193700*n**2 - 16387460*n**2.\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -p**7\/42 + 9*p**3\/2 - 23*p**2. What is the derivative of b(f) wrt f?\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*z, -4*w + 8*z + 22 = 5*z for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.6 + 5.7. Let o = -1.5 + i. Let z = -2 + o. Which is the closest to 2? (a) 2 (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2 + 0*c**3 + 1 - c**3 + 1 wrt c?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/7, 2, 12, 6\/13, -0.21, 15 in ascending order.\nAnswer: -6\/7, -0.21, 6\/13, 2, 12, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 162 = 4*k - w, 0 = -5*k + 2*w - 246. Let o be ((-12)\/k)\/((-2)\/(-16)). Determine j so that -1\/2*j**o + 0 - 3\/2*j = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 20, 29, 38?\n\"Answer: 9*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.27369596 rounded to four decimal places?\nAnswer: -2.2737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11864 divided by -31.\nAnswer: -11864\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -307 - 2*m + 638 - 334 + 2*m + 2*m + 71*m**2 in the form x*m**2 + w + k*m and give x.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1496*r - 1563 = -220*r + 287*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-8)*10\/(-1245)*-83*16\/294.\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8\/20*((-20)\/(-17))\/4\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87*(-4)\/(-12) - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 5*z - 12 = p, p + 2*z = 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(5) + 3*sqrt(80))*-4)**2 + -5 + -3 + sqrt(405) + 3)*4.\nAnswer: -2044*sqrt(5) + 54160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tqzmzztzzqdii. What is prob of sequence zm?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197226491?\nAnswer: 7, 11, 232853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**6\/120 + 3*d**5\/10 + 2*d**3\/3 + d**2. Let l be r(-18). Solve l*x - 8 = 2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 88*t**3 + 2*t**2 - 2*t + 1. Let s be b(1). Let c = s - 60. Let n = c + 25. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4446, -8881, -13306, -17715, -22102, -26461, -30786, -35071?\n\"Answer: u**3 - u**2 - 4439*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 33\/4?\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 33750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d + 10. Let c be x(-1). Suppose 7*v = 3*v + 28. Suppose -2*r + 17 = v. Is c < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**2 + 5*i - 3. Let x(h) = 0*h**2 - 3 - 14*h - 10*h**2 + 11 + h**2. What is 8*s(w) + 3*x(w)?\nAnswer: -3*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28010 divided by 1.\nAnswer: 28010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76 - -106. Let a = -1713482 + 1713523. Which is smaller: l or a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -417450240 divided by 10?\nAnswer: -41745024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -960016 = 4*u - 2*u - 2*c, 3*c + 1440000 = -3*u. Let i be u\/(-16) + 1\/(-4). Round i to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 4. Let j(d) = 14*d + 1. Let u be j(l). Let k = 20 + u. What is the least common multiple of 3 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2 = 2*o. Let u be 8 + 2 - -1*o. Solve -5*y - u = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*w = -25*w + 71100000. Round w to the nearest one million.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1909? (a) 65 (b) -2\/191 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/45)\/(6\/(-12*11\/33))?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 17 + (-2 - 0)\/(-2). Suppose 2*s = 4*p + h, s = 4*s - 2*p - 43. Calculate the remainder when s is divided by 2\/9 - (-79)\/9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-5))\/((-32)\/(-240))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*x**4 - 5*x**3 - 4*x**2 + x - 525 wrt x.\nAnswer: 84*x**2 - 30*x - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*i = -2*u + 93, u - 25 = -5*i. Let a be ((-2)\/4 + 1)*90. Calculate the highest common factor of u and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -962 + 366 = -5*a - i, 5*a - 594 = i. Let n = -8492 - -8512. What is the remainder when a is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 4*x - x + 629, 1234 = -2*y + 4*x. Let k = -350 - y. Is 46 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 0) + -1 - (8 + -2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*s = -38*s + 702. Calculate the greatest common factor of s and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 - 2*f**2 - 2*f**2 + (-21*f + 17*f + 24*f)*(-2 - 1 + 4)*(73*f - 27 + 27).\nAnswer: 1458*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -852.24 plus -784.4?\nAnswer: -1636.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1368 and -0.5.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -506 + 131 = -5*w. Suppose u - 4*u = -w. Let s = 117 - u. Is s a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k = -53 + 71 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22728 is divided by 7542.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 18 (b) 4 (c) 112 (d) 3 (e) -255\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) - (sqrt(288) + -1*sqrt(288)))\/(sqrt(600) + 1*sqrt(600)) - (-3*sqrt(363) - (sqrt(3) - (sqrt(3) - (sqrt(3) + -1))*1)).\nAnswer: -1 + 171*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2316 = -587*u - 37600 for u.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -72 - -358\/5. Let r = 32 - 22. Let m = -2 + r. Sort 0.3, s, m in decreasing order.\nAnswer: m, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 562.385 + -0.385. Let j = b + -562.0515. What is j rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 238981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*o - 4260 + 5300 = 0 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -123 + 123. Let o = 1.97 + 0.03. Sort 2\/13, o, w in decreasing order.\nAnswer: o, 2\/13, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -679, -1359, -2039?\nAnswer: -2719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(99)*-2 + sqrt(99))**2*1 + ((-1 + sqrt(99) + 1)*-2)**2.\nAnswer: 18*sqrt(11) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 4. Find the first derivative of 1 + 3*r**3 + 2*r**g - 2 wrt r.\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(42\/9) - 0. What is the biggest value in 0.1, -4, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23673, 47343, 71015, 94689, 118365?\nAnswer: 142043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*l + 54*l + 1884 = 0. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*t = -269*t + 160 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3876 is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 7:22 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.2 (b) 0 (c) -50 (d) 20 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000101110111 (base 2) in base 14?\nAnswer: -18b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7641?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 2*l = 6*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3470 - -3561. Calculate the highest common divisor of 13 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uoo when three letters picked without replacement from {o: 17, u: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1075872 + -406829. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49753.08 years in centuries?\nAnswer: 497.5308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 803 + 4635 = 114*y + 288*y - 1396 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/2*9\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -1 - 44. What is the smallest common multiple of (-7)\/(21\/q) + 5 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4\/7))**50*(w\/(w\/(w**(1\/4)\/w)))\/(w\/(w*w**7)) assuming w is positive.\nAnswer: w**(-625\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(5) + sqrt(5) + 2*sqrt(5) - (-5 + sqrt(45))) + 2)**2.\nAnswer: 16*sqrt(5) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11991 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12602426 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in 49, -0.9, -2\/197?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 + 23.66. What is i rounded to the nearest integer?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1168.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9520 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -4, -2\/153, -0.013, -192, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-69)\/(-12) - 5)\/(1\/(-4)). Let y be 423500020\/5 - (7 + u). Round y to the nearest 1000000.\nAnswer: 85000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720326 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 5*q + 40 = 0, 0 = 2*a - 5*a + q - 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/(-14))\/((-30)\/(-11880)*18)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -53, -59, -65, -71?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14078563 and 19817.\nAnswer: 2831","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 9*b**3 - 6*b**2 - 5. Let l(h) = -8*h**3 + 5*h**2 + 4. Let s = 333 - 337. What is s*x(d) - 5*l(d)?\nAnswer: 4*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -248384604 divided by -249132?\nAnswer: 997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4509173*g - 913628*g - 2525463*g.\nAnswer: -7948264*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - 24\/(-9))*12. Let y be ((-24)\/2)\/3 - i. Let b(x) = x**3 - x**2 + 6. Determine b(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 0*a + 1\/120*a**6 + 1\/30*a**5 - 1\/105*a**7 + 1\/672*a**8 + 0*a**3 + 0 - 1\/16*a**4 - 27*a**2. Determine d, given that t(d) = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5258856 is divided by 5081?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3822*p + 3825*p. Solve 4*v + z - 4 = 5*z, -z - 5 = -p*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - 17. What is the highest common factor of 132 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 235 - 240. What is the third smallest value in -3, t, -6, 1.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 68227471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 705.2 - 705. Let i be (17\/34)\/(1\/(-4)). Which is the closest to 0.3? (a) -0.4 (b) n (c) 4 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -432*t - 5. Let c(m) = 85*m + 1. Let u(v) = a(v) + 5*c(v). Let d(z) = 3*z + 118. What is u(d(o))?\nAnswer: -21*o - 826","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5410.002 centuries in millennia?\nAnswer: 541.0002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 238, -5182, -23.\nAnswer: -5182, -23, 1, 4, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72310 is divided by 69299.\nAnswer: 3011","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - (-80)\/(-10))*(-6)\/(-18)*5.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 bigger than 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 47. Suppose 0*v - 5*v + 30 = 0. Suppose -v = 3*w, 3*d + 5*w = 42 + j. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s = 23 - 103. What is the biggest value in 3, -0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -82, -162, -242, -322?\n\"Answer: -80*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, 4, 44, 3 in descending order.\nAnswer: 44, 6, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 393\/794 + 2\/397. Which is the closest to y? (a) 1.22 (b) 0.1 (c) -4\/5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16da (base 15) to base 16\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z + 4*z + z + (3*z + 2*z - 4*z)*(6 + 0 - 4) + 2*z - 2*z - 2*z + (-3 - 6 + 5)*(2*z + 0*z + z).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 0.2, -84, 5, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 169 (base 15) in base 13?\nAnswer: 1bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -17, 5, -2 in increasing order.\nAnswer: -17, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 y, and 1 d when three letters picked without replacement from {q: 3, d: 4, j: 1, b: 2, y: 2, n: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*x**2 + 504*x + 40 = 0. What is x?\nAnswer: -10, -2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3913, 15348, 33973, 59434, 91377, 129448, 173293?\n\"Answer: -59*j**3 + 3949*j**2 + j + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 33*f**2 + 33*f - 52. Let l be y(-34). Put -2, -1, -3, l in decreasing order.\nAnswer: -1, -2, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156135 divided by -35?\nAnswer: 4461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31911 - 10879. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 4.2. Let r = u + 0.2. Let z be (-2)\/(-4) + 14\/(-4). Which is the second smallest value? (a) r (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 7*l - 3. What is the remainder when (57\/(-6))\/(1\/((-12)\/6)) is divided by z(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 5 = -5*x. Suppose -2*l + 1 - x = 0. Which is smaller: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0.2, 57, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1548 = 3*u + 3*q, 6*u - 2*u + 2*q = -2064. Let r = u - -2581\/5. Which is the second biggest value? (a) 1\/2 (b) 36 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o**2 - 5*o + 5. Let k(v) = v**2 + v - 1. Let q(n) = i(n) - 3*k(n). Let x be q(7). Let g(h) = 1 + 34*h - 33*h + x. Give g(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -172, 3, 1\/14, -1\/10, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1524479 by -43.\nAnswer: 35453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**2\/9 + 1972*m\/9 - 15678 = 0. Calculate m.\nAnswer: -1053, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.107*0.039\nAnswer: -0.004173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-15)*3*7\/(-42)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6 - 15) + 18 - -15919?\nAnswer: 2, 23, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -212312 + -10?\nAnswer: -212322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -234689 times 0.1381?\nAnswer: -32410.5509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 522110 and 14020330?\nAnswer: 4790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 5*w - 15 = 5*d + 1 - 29, -11*d + 19 = 3*w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1000381*j**2 - 1116028*j.\nAnswer: -2000762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + (-1175 - 1)\/(-2)?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c**2 + 12*c - 12. Let p(b) = -3*b**2 + 8*b - 8. Let j(w) = 8*p(w) - 5*u(w). Suppose -2*z - 28 = 5*g, -z - 5*g - 14 - 10 = 0. What is j(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eebdehubbubebuehb. Give prob of picking 3 b.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 46*n**2 + 47*n + 597. Let i be j(-9). Calculate the greatest common factor of 60 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 11, 51, 129, 257, 447?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 x when two letters picked without replacement from jyjxqqjqqyjjjqqjy.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44\/85 - 2\/17. Are w and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 9*t**2 + 7*t + 9. Let k be q(-6). Let p = k - 20786\/41. Let o = p + 35\/246. Which is greater: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52.097 + -0.097. Let g = 53 - b. Let q = g + -0.6. Put -0.05, q, 3, -1 in descending order.\nAnswer: 3, q, -0.05, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 10*z + 13. Let r be b(-9). Let d be 1\/(-4)*-4*0. Suppose d = u - 0*u - r. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkolllmkmmljookmlmo. What is prob of picking 2 k and 2 o?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3809273 or -3809271?\nAnswer: -3809271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 - 44. Suppose -5 = -z*n - 0. Which is smaller: 3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 4 + 0)*(-3 - m + 3) - 27 + 259*m - 275*m + 34.\nAnswer: -7*m + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12739\/6 + -2123. Which is the third biggest value? (a) p (b) 2\/5 (c) -1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 2)*(0*b**2 - 4*b**2 + b**2) + (-4*b + 4*b - b)*(-5*b + b + 3*b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 18*z**2. Let d(r) be the third derivative of -r**5\/60 - 30*r**2. Determine g(d(s)).\nAnswer: 18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16919.946 milliseconds in minutes?\nAnswer: 0.2819991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -4*g + 5*x, 5*g = 2*x + 38 - 13 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*d**3 - 117*d**3 + 80*d**3 - 12*d**3.\nAnswer: 62*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18766 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1437 (base 10) to base 16.\nAnswer: 59d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 52*z**2 + 11. Let v(x) be the first derivative of x**3\/3 - 817. Calculate v(j(n)).\nAnswer: 10816*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 3*t + 3, 13*l + 4*t = 11*l - 8. Let a = -6 - -8. Solve 0*q - 11 = f + 2*q, -l*f = a*q + 14 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 81*u*x**2 - 11803*u*x - 40*x**2 wrt x?\nAnswer: 162*u - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*w**2 - 3*w**5 + 4*w**2 + 45*w**3 - 45*w**3 wrt w.\nAnswer: -180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**1)\/(z\/(z**(-5)\/z))*z\/(z\/z**(2\/7))*z*z**(3\/4)*(z**(-3\/4)*(z*z**(-4\/9))\/z)**(1\/56) assuming z is positive.\nAnswer: z**(-10051\/2016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 561*m**2. Let v(l) = 5*l + 2. Determine v(u(i)).\nAnswer: 2805*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {j: 4, m: 6, y: 9}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 2 = -5. Let l be (-1)\/(-1)*n*9\/(-3). Suppose 5*s = -2*v - 13 + 158, l*v = -s + 42. What is the smallest value in -2, s, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 53*v**2. Let y be i(-1). Suppose -3*x + y = -244. Suppose 3*o - 2*t - x = 0, -o + 2*t + 46 = -3*t. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 35 = 20. Suppose 5*k + 5*h - r = -0, -20 = -2*k - 3*h. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -68*z**3 - 72*z**2 + 2036*z + 120 = 0.\nAnswer: -6, -1\/17, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*x**3 - 23*x**3 - 12*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/(((-2)\/(-2))\/((-154)\/11))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -155*y**5 - 67*y**4 - 5*y**3 + 6361*y**2 - 5 wrt y.\nAnswer: -9300*y**2 - 1608*y - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 13*d**3\/6 - 8*d + 1. Let v(z) be the third derivative of -3*z**4\/4 + z**2 - 61. Give w(v(b)).\nAnswer: -234*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**3 + 3*a**3 + 4*a**3 + (0*a**2 + 2*a**2 - 4*a**2)*(-34 + 11*a + 34).\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 1:11 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2706\nAnswer: -2705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/19 + 28568*m\/19 + 102016328\/19.\nAnswer: 2*(m + 7142)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1563 * -0.5.\nAnswer: -0.07815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -3*a**2 + 113214*a + 45765600 = 0.\nAnswer: -400, 38138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*d + 20*d - 13. Suppose -2*g + g = 2*u - 209, 4*u - 419 = -3*g. Calculate the greatest common factor of u and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 r when four letters picked without replacement from rrworwworoooww?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*b + 59640 = -48*b + 1443*b for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*t + 3*t + 19, -2*t - 8 = 2*m. Calculate the least common multiple of t and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 169176174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 2. Suppose -s - 35 = -2*s. Suppose -5*c + 19 = -k, -k - 5*c = -6*k - s. Put 1, j, k in increasing order.\nAnswer: k, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 26 and -0.5195?\nAnswer: 26.5195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13525\/153 - 1578\/17. Let z = -181 - w. Which is the second biggest value? (a) 0.2 (b) z (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8.21, -0.2, -560, 0.1.\nAnswer: -560, -0.2, 0.1, 8.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*2)\/sqrt(7))\/(6*sqrt(10)\/sqrt(5)) + ((sqrt(180)*2)**2 - (sqrt(245) - -1*sqrt(245))**2) + 1*(sqrt(135)\/sqrt(3))\/sqrt(9) + -4.\nAnswer: -264 + 4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/160 smaller than -25763?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*n - 12, -2*x + 3*n = x + 12. Suppose x = 5*l + 1 - 16. What is the least common multiple of l and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3052211 (base 6) in base 16?\nAnswer: 23e0f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/110 and 131\/377910500.\nAnswer: 377910500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*(2*sqrt(68) + -5) + 5))**2*5.\nAnswer: 48960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 22 = -i, -2*g = 2*i + 18 + 46. Calculate the common denominator of 80\/15*6\/(-22) and 7\/35 + (-153)\/i.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 33*y - 90. Let p(v) = 2 - 6 + 2*v - 4. What is the lowest common multiple of m(-4) and p(8)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n**2 - 41*n - 19. Let y be s(14). Suppose -r = 3*p - 193, 23*r - 22*r + 5*p - y = 0. What is the least common multiple of r and 8?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z + 4*z + 4*z)*(-1 + 2 + 2)*(0*z + 11*z - 2*z).\nAnswer: 54*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 + 3*j**4 - 6*j**3 - 52 - 12*j**4 + 27*j**2 + 38 + 36*j = 0 for j.\nAnswer: -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 19*k - 120 = 0. Suppose 0 = 3*s - k - 72. Let n = 6 + 8. Calculate the remainder when s is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - 3*k**2 + 3*k**2)*(k**3 + k**3 - 5*k**3).\nAnswer: -6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 15 = 31. Suppose 0 = -5*q + 38 + 2. What is the smallest common multiple of s and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 e when two letters picked without replacement from xelxxxxllemxley?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, v: 4, x: 1, n: 2, f: 1}. What is prob of picking 1 d and 1 n?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 104.61 + -1.61. Let w = n + 41. Let l = w - 144.0000319. Round l to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*37.\nAnswer: 1.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1561)\/15164 + (0 + (-1)\/(-4))*-1?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1 + (7 - 2 - 3)*(-1 - 2 + 4) - 6 - 2 - 1)*(-g**2 + 1 - 1).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, c: 3, z: 2, n: 1, v: 2, a: 10}. What is prob of picking 1 a and 1 c?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/6 + -1)\/(420\/(-180)). Let w = -1 + 0. Let b be 18\/(-10) + (-2)\/w. Sort b, p, -1\/3 in decreasing order.\nAnswer: b, p, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**4 + 75*v**3 + 245 + 145*v - 95 + 277*v - 57*v + 285*v**2 = 0. What is v?\nAnswer: -10, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 8:34 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 406 - 406. Which is the nearest to n? (a) 4\/9 (b) 2 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.23986305 + 160.\nAnswer: 161.23986305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 431 + -4?\nAnswer: 42a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450 is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 9:34 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v + 11. Let f(b) = b + 1. Let a(q) = -3*f(q) + l(q). Give a(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*x - 3*x - 192 = 0, 0 = -5*w - 4*x + 480. Does 24 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 13*f**2 + 20*f - 13. Let g be a(-11). Let o(n) = -n**3 + 11*n**2 - 2*n + 7. What is the tens digit of o(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t - 2. Let a be c(-2). Let k = 30 + a. Suppose k = 2*p - v, 2*v - 25 = -3*p + 4*v. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -7 (b) 1 (c) 0.3 (d) -0.0851 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*y**2\/5 - 89988*y - 224968\/5.\nAnswer: -4*(y + 56242)*(2*y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 171 divided by 248\nAnswer: 171\/248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 25. Let w(s) = 2*s**2 - 15*s - 10. Let b be w(n). Let m be 1*27\/(-6)*1*b. Calculate the highest common factor of 9 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1314559810 to the power of 1\/3, to the nearest integer?\nAnswer: 1095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 24*s - 25. Is 12 a factor of a(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 96*p + 92*p + 17, 0 = -4*w + 4*p - 32 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104 - 3 + n**2 - 14 - 100568*n.\nAnswer: n**2 - 100568*n - 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1158*y**3 - 418*y**3 + 5140*y**3 + 1431*y**3.\nAnswer: 7311*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2061947?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -5*r**2 + 2*r + 2. Let p = 698 - 693. Let y(z) = 10*z**2 - 5*z - 5. Give p*w(o) + 2*y(o).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14021, -14042, -14077, -14126, -14189?\nAnswer: -14266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*a - 20 = 205*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*u - 13*u + 468. Suppose -2*h = 138 - u. Solve s + 0 = -2*p - h, -12 = p + 2*s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*-2)**2 - (0 + sqrt(8)).\nAnswer: -2*sqrt(2) + 392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/10)\/((-6)\/(-1905)). Let l = k - 272. Suppose -5*i + l = 26. Is 21 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2141511.\nAnswer: 3, 31, 23027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1018536, 2037021, 3055504, 4073985, 5092464, 6110941?\n\"Answer: -x**2 + 1018488*x + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 16093 divided by 36\nAnswer: 16093\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 173627772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 135562 (base 8) to base 7\nAnswer: 256621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -19*t + 304. Determine h(16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.44 - 1.372. Let t = 16.068 - l. Is t less than or equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v - 1. Let p be k(-1). Let c be 112\/7 - 2\/(-1). Suppose 23 = -w - 5*o, 4*w + 2*o = p*o + c. What is the remainder when 5 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**3 - 16*y**2 + 9*y + 14. Is 14 a factor of f(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 388 - 385 = 0. Let i be c\/5 - 57\/(-35)*2. Let -9\/7*m**4 + 9\/7*m + i*m**2 + 3\/7*m**3 - 6\/7 = 0. Calculate m.\nAnswer: -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42696 = 11*z + 34084. Let c = z + 9979. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of 11*a**6\/120 - a**4\/2 + 4*a**2. Find the second derivative of p(h) wrt h.\nAnswer: 66*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 - (-3 - 8 - (22 - 26 - 5))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 100.03?\nAnswer: -104.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*r - 73 - 2*r + 87)*(4 - 1 + 2*r - r) in the form j*r + c*r**2 + a and give j.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.4 - -6.4. Let i = -11.2 + -0.8. Let v = i + 13. What is the closest to h in -3, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 5. Let w be a(5). Let o be (32 + (3 - 3))\/2. Suppose 2*n + w*n = o. What is the lowest common multiple of 14 and n?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3732\/(-6531)*(-49)\/(-2)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*s = -21*s - 94077. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m. Let c(q) = -3*q. Let s(n) = -6*c(n) - 17*r(n). Let k(t) = -t. Determine k(s(u)).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 6*u**2 + 3*u - 10. Let p be b(-7). What is the remainder when 64 is divided by 18\/81 - (-392)\/p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3424223 - 0?\nAnswer: -3424223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 1:07 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**5\/4 - 201*d**4\/2 - 40797*d**3\/4 - 19700*d**2 + 30000*d = 0 for d.\nAnswer: -200, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -3, 2\/26439, -0.1?\nAnswer: 2\/26439","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-one fifths of a kilogram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.61436ng in tonnes?\nAnswer: 0.00000000000000061436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*c**4 + 2015188*c**3 - 66505431*c**2\/2 + 32497019*c\/2 - 2015320 = 0. What is c?\nAnswer: -251915, 1\/4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2350488209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 933 - 932. Which is the nearest to s? (a) 1 (b) 0 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*g**5*m + g**3*m**2 + g**3 + 6*g**2 - 3*g*m**2 wrt g.\nAnswer: 960*g**2*m + 6*m**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - -6.7. Which is the closest to k? (a) 3\/5 (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-5 + 4)*131. Suppose -4*v - 5*c - 504 = -c, -2*v + 3*c - p = 0. Let j = -118 - v. 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 -g = -5*q + 12, -5*g + 2*q + 9 = -0*q. Solve g*x = 5*u - 28, -u = -x - 3*u + 9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 9*m + 1. Let k be t(-5). Suppose 2*d + d = -72. Let r = d - k. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rkyr when four letters picked without replacement from {r: 4, y: 10, k: 6}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -5, 6297.\nAnswer: -5, -4, 3, 6297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2235180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14868 - -49896. What are the prime factors of p?\nAnswer: 2, 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4778 (base 9) to base 14.\nAnswer: 141c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**2\/5 + 17784*q\/5 - 17782\/5 = 0. What is q?\nAnswer: 1, 8891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -937594200, -937594199, -937594198?\nAnswer: -937594197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8602*k + 390 = 8563*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**4 - 3*l**4 + l**4 + (1 - 1 - 3*l**3)*(4*l - 5*l + 3*l) to j + k*l**2 + c*l**3 + m*l + y*l**4 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -74116, -148220, -222324, -296428, -370532?\n\"Answer: -74104*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*o**2 - 4*o**3 + 35*o**2 + 4*o**3 - 18*o**2 - 84 - 2*o**4 + o in the form w*o**4 + z + b*o**2 + t*o + p*o**3 and give z.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 13677*l**4 + 14*l**3 + 14451. Let a(i) = -9119*i**4 - 10*i**3 - 9634. Let g(v) = 7*a(v) + 5*u(v). Differentiate g(h) wrt h.\nAnswer: 18208*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b91 (base 15) to base 6.\nAnswer: -20031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 2.9. Let d = -0.5 - q. Let x = 5\/799 + 784\/2397. What is the third biggest value in d, x, -1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-4) + (-2)\/(4\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7a97 - -80?\nAnswer: -7a17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 6 = 2*c + 3*b, 7 = -5*c - 4*b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-6))\/2*18*3\/(-864)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 22 - 72. Let o = k + 19. Let v = 34 - o. Solve -3 = -2*q + v for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1)**(7\/9)\/(i**(1\/2)\/(i**(-6)*i*i)))**(-20) assuming i is positive.\nAnswer: i**(670\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8412 and 98?\nAnswer: 412188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3 + (sqrt(2448) + 0 + sqrt(2448) + 1 - (sqrt(2448) + 1 + sqrt(2448) + -2)) + 1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1593)\/27*(-3 - 2 - 0) is divided by 57.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 3*l + 3009 - 2993, -k - l = 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -26. Let w be (((-2)\/u)\/1)\/((-25)\/375). Solve w*o - 8 = o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -57, -214, -475, -840, -1309, -1882, -2559?\n\"Answer: -52*u**2 - u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -6*v - 111. Determine d(-21).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21244444 - 101?\nAnswer: 21244343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 377, 379, 383, 389, 397, 407, 419?\nAnswer: 433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 i when two letters picked without replacement from {i: 1, n: 1, g: 3, d: 5}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 6)*1650\/210 - 17\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 441\/98*8\/3 + -4. Let m = 57 + -55. Solve 0*a - x = m*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 722*p. Let i(c) = 4*c + 2017. Give i(q(g)).\nAnswer: 2888*g + 2017","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 667 = 8. Suppose 2*x + b = 27. Let t be (7170\/x*-6)\/((-2)\/600). Round t to the nearest 10000.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f**3 - 30*f**2 - 65*f + 6. Let l(w) = -4*w**3 + 30*w**2 + 66*w - 4. Let z(j) = 4*i(j) + 6*l(j). Determine x so that z(x) = 0.\nAnswer: -2, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 562.276 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 101*j - 1. Let m(f) = 102*f - 1. Let l(o) = 4*m(o) - 3*t(o). Let r be ((-32)\/12)\/((-4)\/6). Is l(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**2 + 140*o + 544 = 0.\nAnswer: -136, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 573347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*i = -31*i + 25. Suppose -3469 + 39227 = o - r, 3*o - 107280 = i*r. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/14 and 5\/532?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 93565127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/((f**(-11)*f)\/f))\/f)\/f**2)**13 assuming f is positive.\nAnswer: f**117","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2113133113211 - 11?\nAnswer: -2113133113222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 1. Suppose -5*d + 4*z + 121 = 0, d - 71 = -p*d + 2*z. Calculate the remainder when d is divided by -8 + (5 - (-3 + 5)) + 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 10*i = -11*i. Put 2, -3, -7, i in descending order.\nAnswer: 2, i, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 5. Let i be (3\/2)\/(-3)*-42. Suppose 2*g + 4 = -o*c + 16, 2*c = g - i. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61751 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**5 - 40*w**3 - 69*w**3 - 28*w**2 - 10*w**4 - 10*w**4 + 57*w**3 + 0*w**4.\nAnswer: 4*w**2*(w - 7)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46563659?\nAnswer: 41, 1135699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/25)\/(2\/90). Suppose n = -h - 339. Let f = -22 - h. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -h**2*v**3 + 69*h**2 - 75*h*v - 10803*v**3 + 17*v**2 wrt h?\nAnswer: -2*h*v**3 + 138*h - 75*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 13263*s**2 + 2. Let m(a) = -4*a. Determine j(m(k)).\nAnswer: 212208*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 10*o**2 - 15*o + 1. Let m be p(6). Let s = -51 + m. What is the tens digit of ((-1085)\/(-20) - 0) + (-1)\/s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t**2 - 275*t. Let l(i) = -54*i. Let n(k) = 5*l(k) - y(k). Let d(s) = -57*s**2. Calculate n(d(w)).\nAnswer: 12996*w**4 - 285*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2176, 2111, 2046, 1981, 1916?\nAnswer: 1851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2, 5, -4, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1333 (base 4) to base 14.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -81 - -49. Let z be b\/(-12) - (-1)\/3. Suppose -z*g = 4*c - 3*c - 13, 4*c = -5*g + 87. Is c a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 z when three letters picked without replacement from ekozegkwkge?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-9) - (-219)\/9. Solve 2*w - 5*h = 0, 5*w + c = -5*h - 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/4*22\/(-99)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1315654.8 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 5)*((7 + 10 + 0)*(-14 - 6*k + 14) + 4 - 4*k - 4).\nAnswer: 530*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f - 5. Suppose -4*y = 5*i - 52, 5*i - y - 54 = -4*y. Suppose -s - i = -20. Let x be 39\/12 - (-6)\/s. What is q(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 bigger than 171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3511, 4, -5, -4, 2 in ascending order.\nAnswer: -3511, -5, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x - 12 - x + 6*x + 0*x. What are the prime factors of b(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -1\/3, 1, -5\/3, 2\/155?\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16063112419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22.1 + 22.10000143. Round q to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1243284 by -4.\nAnswer: -310821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*n = -25*n + 7*n - 616 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 27 = -7. Let r(l) = -l**2 - 9*l + 11. Let b be r(k). Solve b = -c + i, -4*c - 29 = c + 3*i for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 5*w**2 - w - 1. Let p(u) = -3428*u**3 + 21425*u**2 + 4285*u + 4285. What is -4285*o(m) - p(m)?\nAnswer: -857*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 - 3*x**2 + 11 + (5*x - 2*x - x)*(0*x - x + 0*x) to t + p*x + h*x**2 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b + 36?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6482 divided by 463\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.224 and 15?\nAnswer: 15.224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**2\/5 - 36394*n\/5 - 2321024\/5 = 0. Calculate n.\nAnswer: -18133, -64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1474\/(-4)*32\/16. Is o > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (2 + -6) - -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -3\/2, -5, 2\/71, 1\/10?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 15) in base 16?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 4.49, 25949, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2712600.94555 - -7.1\nAnswer: -2712593.84555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -8. Let g = 30 + t. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + -3 - (-37 + -10) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of x**6\/10 - 11*x**3\/3 + 19*x. What is the second derivative of p(z) wrt z?\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 26*j**5\/3 - 592*j**4\/3 - 3*j**2 - 67*j + 1. What is the second derivative of y(f) wrt f?\nAnswer: 1040","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -2. Let r be (-20)\/c - 10\/15. Let i(k) = -k**2 + 7*k - 2. What is the units digit of i(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 7 = -y + 4*q, -29 = -5*y + 2*q for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x**3*z**3 + 41670*x**3*z + x*z**3 + 2*x*z**2 - 363*z**3 + 5*z**2 wrt x.\nAnswer: -6*x*z**3 + 250020*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 121*o**2 - 46*o + 2*o**3 - 58*o**2 - 32*o - 61*o**2 to n*o**2 + x*o + v*o**3 + p and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 w, and 1 z when three letters picked without replacement from {k: 4, b: 1, z: 1, s: 5, w: 2, y: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z\/z**(-11)*z*z**(1\/8)*(z*z*z**3)**(7\/4) assuming z is positive.\nAnswer: z**(191\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*b - 524*b + h + 49 = -267*b + 2*h, -2*h = b + 14 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11782973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -23*p + 11*p + 63 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16800 is divided by 16724?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043646 a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 - (7 - 16\/4). Suppose 148 = 4*s + 4*n, -5*s + n + 86 = -c*s. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -297144 divided by 72?\nAnswer: -4127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**4\/12 + n**3\/6 + n**2\/2 - n. Let z be f(0). Is -1\/18 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.01, -84250\/9, -0.2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27703.23 and 4?\nAnswer: 110812.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 8*v**2 + 25*v - 21. What is n(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -3. Let g = 9 + z. Let j = -2 + g. Sort -4, 5, j in descending order.\nAnswer: 5, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 23 + 26 - 46. Which is the closest to -0.03? (a) -5 (b) v (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2820002039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6383 * -5427\nAnswer: -34640541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a decade in months?\nAnswer: 340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 944 is divided by 300.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500) - (1 + sqrt(500) + sqrt(500))**2*-3.\nAnswer: 130*sqrt(5) + 6003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 707818 divided by -5.\nAnswer: -707818\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/55 in -9\/4, 2\/9, 27, -2\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 387 or 386?\nAnswer: 387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11820727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.2 (b) -2 (c) 5 (d) 12.84 (e) 4 (f) -1 (g) 4\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1462895218.7 + -0.035\nAnswer: -1462895218.735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + 4*c + 192, 4*c - 672 = 4*n + 20*c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -471*j**3 - 67*j**2 wrt j.\nAnswer: -2826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10.11 and -21.\nAnswer: 212.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-2)*2\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 1702*j + 6. Let h(p) = -575*p - 2. Let q(n) = 8*h(n) + 3*y(n). Let f(t) = -t. Determine q(f(u)).\nAnswer: -506*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 578401320 to the power of 1\/3, to the nearest integer?\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3735.7+-0.269\nAnswer: -3735.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -375948\/5 + 129564\/5*b + 4\/5*b**3 - 1428\/5*b**2 = 0.\nAnswer: 3, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 1233496 = 6435496. What is t rounded to the nearest ten thousand?\nAnswer: 580000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5649637?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-100)*5*15\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 7*j**2 + j - 5. Let f be k(7). What is the second derivative of 4*h**5 + h**5 + f*h + 4*h - h wrt h?\nAnswer: 100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 697 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 + 4)*2 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 1. Let i = 19 - d. Solve 0*t = -t - 3*a + i, 0 = 5*t + 2*a - 19 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*h + 65734 - 60294 = 0 for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q**2 - 8*q + 14. Let i(s) = s**2 + 3*s - 5. Let r(a) = -11*i(a) - 4*y(a). Give r(2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 12*m**2 - 21*m + 31. Let k be j(13). Let c = -47 - k. Which is smaller: c or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/9 and 149\/948.\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14018, -14014, -14010, -14006, -14002, -13998?\n\"Answer: 4*j - 14022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3c7a + -4?\nAnswer: -3c80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*15\/9*50\/(15250\/(-4087)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 33 = -5*s, 3 = 2*x - 5*x - 3*s. Let b = 0 + 5. Put 3, b, x in increasing order.\nAnswer: 3, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 2\/19 (b) 2\/11 (c) -2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 301 + -167. Calculate the highest common factor of 2 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2*sqrt(304) + 4 - (sqrt(304) + 2 + -5)))**2.\nAnswer: 1400*sqrt(19) + 8825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(78)\/sqrt(6) + (3*sqrt(13) + -2 + sqrt(13))**2 + -1*(sqrt(13) + sqrt(13)*-3) + (-1*sqrt(65))\/sqrt(5).\nAnswer: -14*sqrt(13) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12738 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b**(-12)*b)*b**(1\/5)*(b**6\/b*b)\/(b*b**12\/b) assuming b is positive.\nAnswer: b**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 342, 672, 1000, 1326, 1650, 1972, 2292?\nAnswer: 2610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 621, 1223, 1825, 2427?\nAnswer: 3029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 - 7. Suppose 4*s = i + 16. What is the remainder when 19 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q\/(q\/((q**10\/q)\/q))*q*q))\/(q\/q**(-1\/11)) assuming q is positive.\nAnswer: q**(-122\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from foyskyosossss. Give prob of picking 2 o and 2 y.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1117.756977 rounded to two decimal places?\nAnswer: 1117.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62111, 112359, 162607?\nAnswer: 212855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 - 2*h**3 + 5*h**3 - 2*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 7*m**2 - 9*m + 10. Let t be v(8). Suppose -3*u + 70 = 2*o - 6*o, t*o = -8. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 30643*a - 30621. What is w(1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.025 - -20.975. Let g = -20.6 + z. Which is the nearest to -0.1? (a) 0.1 (b) g (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 47 = -3*r - 4*c, -37 = -3*r + c. Let k = -8 + r. Find the third derivative of -5*x**2 + 2*x**3 - k*x**3 + 4*x**2 wrt x.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 182*g - 179*g. What is the greatest common factor of g and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 5) to base 14\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.04 (b) 0.13 (c) 2\/43 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 5648*f + 1890*f in the form n + c*f and give c.\nAnswer: -3758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*o**2 + 32*o**2 + 28*o**3 + 23*o**2 - 76*o**2.\nAnswer: 28*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 8*w + 137 = -g, 0 = w + g - 25. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*n**3 + n**2 - 25*n + 4 wrt n?\nAnswer: -78*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2943 >= 2942?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - 1 - (-172 - (-187 - -65))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 15 = 9*j. Suppose -2*l - j*p = -38, -3*p + 6*p - 22 = -l. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + (sqrt(70)*2 - sqrt(70))\/sqrt(10))*-1 + ((sqrt(567) + (sqrt(567) - sqrt(567)*1))*-3 + (sqrt(567)*2 + sqrt(567))*5)*-5)**2.\nAnswer: -8576*sqrt(7) + 2011136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2a9 (base 15) to base 7\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of y**4\/12 + y**3\/2 - 5*y**2\/2 + y. Is 2 a factor of z(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 2*t**2 + 4*t + 1. Let v be d(3). Suppose v*a - 1 = 23. Solve 4*c = l - 7, -3*l - 9 = -a*l for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-4.58.\nAnswer: -18.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -2)*3\/3. Let s be (v - 3) + (-3 - -6). Let y(w) = 1. Let x(b) = -b + 5. Determine s*x(f) + 3*y(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46914471.\nAnswer: 3, 107, 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -401*x**2. Let m(b) = -5*b. Calculate c(m(h)).\nAnswer: -10025*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4165?\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0032195 rounded to five decimal places?\nAnswer: -0.00322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**5\/9 + 1286734*x**4\/9 + 6433634*x**3\/9 + 1000786*x**2 + 428908*x = 0.\nAnswer: -643362, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 32\/(-2)*(-5 - (-15)\/4). Suppose -5*s - 4*z = -8, 0 = 2*s - 0*s - 4*z - f. Solve -g = -s*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-12) + (-59)\/4. Let z = w + 4. Is 1 - (z + (2 - 0)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 251b6 - 185?\nAnswer: 25031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 8*o - 182. Let b be s(31). Suppose -2*c = -6 - 6. Calculate the highest common divisor of b and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**20)\/c)\/(c*c\/(c\/c**(7\/5))*c) assuming c is positive.\nAnswer: c**(83\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t + 4*t - 2*t)*(2*t + 32*t - 11*t) - t**2 + 3*t - 3*t + (-2*t - 3*t + 6*t)*(-1 + 2*t + 1) to the form k + p*t**2 + d*t and give p.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -434, -20, 3, 4 in descending order.\nAnswer: 4, 3, -1, -20, -434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*v = 264*v + 14*v + 7488 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + n + 1. Let w(g) = -101*g**2 - 2*g - 1. Determine -2*p(k) - w(k).\nAnswer: 99*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*t + 155 = -w - 51, 1240*w = 3*t + 1241*w + 17 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 278*x - 2499. What is h(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -57*i + 63. Let w(u) = 8*u - 9. Let k(z) = 2*v(z) + 15*w(z). Let x be k(12). Suppose x*f = 61*f + 20. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344886 + 11*i**2 + 344886.\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -3*h - 3*b, 10 = -5*h - 4*b + 60. Let v(k) = 4 + 6 - 10 - h*k**2. Let c(o) = -3*o**2. What is v(c(i))?\nAnswer: -54*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a decade in months?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 27 (b) 4 (c) 581\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-8)*z)**(2\/13) assuming z is positive.\nAnswer: z**(-14\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 914 and 49356.\nAnswer: 49356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -36, -37, -36, -33, -28, -21?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1528?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 106\/(-1007) + (0 - 59\/(-19)). Let l = -4\/33 + 5\/11. Put -0.4, 5, l, z in decreasing order.\nAnswer: 5, z, l, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -551 (base 6) to base 8.\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2447 + -2445. Solve -5*n - 7 = q*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -l + 4, 0*t - l + 10 = 5*t. Solve -1\/2*x**4 + 1\/2*x**2 + 0*x + 0 + 0*x**t = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 343065 + -21204?\nAnswer: 321561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x*x**(2\/5)*x)*x\/x**(-1\/4))\/(x**(-2\/7))**(-1\/32)*x\/(x*x**(2\/13)*x)*x**(-3\/8)*(x*x**2\/x)\/(x\/(x*x\/(x*x**(3\/5)))) assuming x is positive.\nAnswer: x**(-1875\/1456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3*z - z + 3*z)*(14*z**4 + 2*z**4 - 4*z**4).\nAnswer: -12*z**5 + 48*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b**3 - 12*b**2 + 90*b - 277. What is f(0)?\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10513175 + 3?\nAnswer: -10513172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0058 + 4.0058. Sort p, -0.5, 5\/6, 0 in descending order.\nAnswer: p, 5\/6, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 14. Let u be 2\/(-7) - 25\/(-14). What is the nearest to -0.1 in u, 3\/4, z?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -627331, -1254666, -1882001, -2509336, -3136671?\n\"Answer: -627335*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, a: 1, v: 8, u: 2, o: 1, w: 1}. Give prob of picking 2 v and 2 u.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 20661809 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 3)*(-2 - 1 + 2) + (-3 + 3 - 1)*(2 + 0 + 0))*(0*d + 4*d + 0*d).\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 + 9050*o**2 - 5*o - 9050.\nAnswer: 5*(o - 1)*(o + 1)*(o + 1810)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -790 = -5*x + 5*p, 3*p - 5 = -17. Is x a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -242\/30235 + -1056557719\/544230. Let s = 1937 + g. What is the common denominator of s and 91\/60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, f: 2, x: 3, n: 1, b: 1}. What is prob of picking 3 m?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 470 = -3*z + 431 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143, 182, 221?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-65)*(-105)\/126*-12?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 24, 46, 66, 84?\n\"Answer: -s**2 + 25*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*m - 2*h, -5*h = 5 - 30. Suppose m = r - 3*r. Which is the nearest to r? (a) 0 (b) 0.5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 10039750?\nAnswer: 20079500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (621\/(-396) - 87\/(-58) - 1).\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 0.37174.\nAnswer: -1.11522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -38559197 and -847.\nAnswer: -38560044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*y + 28 = 2*w, 0 = y. Suppose -235 = -w*z + 2*z. List the prime factors of z.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/2 and 1\/(-14)*(76 - 1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145999890 a multiple of 2595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 + -7 - 11) + -1 + -7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 divided by 5?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 231.456171 to 1 dp.\nAnswer: 231.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8\/99 - -25\/99. Factor b*k**3 - 1\/3*k**4 + 1\/3*k**2 - 1\/3*k + 0.\nAnswer: -k*(k - 1)**2*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/54*(-40538)\/(-92). Let o = -1204\/23 + y. Calculate the common denominator of o and 77\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n + 95. Let l(j) = -34*j**3 - 103*j**2 + 5*j - 1. Let m be l(-3). Give b(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.2 + 4.1. What is the closest to -3 in 1, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/4*(20\/6 + -2). Let l = -1.2 - -2. Which is the smallest value? (a) m (b) -5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68*q + q - 8*q)*(-1 + 1 - 3*q + 1 - 1 + 2*q + (4 + 2*q - 4)*(3 + 1 - 3)).\nAnswer: -75*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 5366*p + 5175*p - 9749*p + p**2 as x*p**2 + z*p + f and give z.\nAnswer: 792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/4 and 11\/24105088.\nAnswer: 24105088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (41 + -50)*(-50)\/(-135)\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -1\/84 (c) -1998\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11420 - -2?\nAnswer: -11414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25150 is divided by 449.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23958893 and 12397?\nAnswer: 1127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10391487 - 10391527.999896. Let k = z + 41. Round k to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (11006\/(-3))\/(8 + (-500)\/60).\nAnswer: 2, 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -83 not equal to -83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, c: 7, h: 4}. What is prob of picking 3 h?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t. Let a(v) = 21*v. Determine -a(x) - 35*k(x).\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*g + 0*g - 3*g)*(-g + 0*g - 5*g + (-2 + 2 + 1)*(-4*g + 13*g - 4*g)) to v*g**2 + c + z*g and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1376983?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2632540019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61656840 to the nearest integer?\nAnswer: 7852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 7 + 4 - k + 1 - 10. Give c(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107923 is divided by 3597?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 35 + 12 + 0*r + r in the form a + x*r and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1071 + -1066. Let h(s) = -s**3 - 5*s**2 + 4*s - 10. Let a be h(-6). Let m be 2\/(-5) + 34\/10. Solve -a*n - m = -o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1072.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 10*s**2. Let m(o) = -41173*o. Give b(m(a)).\nAnswer: 16952159290*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-27) - 104\/(-18). Let p(j) be the third derivative of -j**6\/120 + j**5\/10 + j**4\/12 - j**3\/6 - 2*j**2. What are the prime factors of p(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, q: 5, z: 4, h: 3, d: 2, p: 1}. What is prob of sequence phh?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21 + 21 - 3*s)*(0*s - s - s) + (-2*s + s**2 + 2*s)*(0 - 3 + 1) + (3*s + 7*s - 5*s)*(306 - 306 - 7*s) to the form k*s + n + a*s**2 and give a.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (109*z**2 - 663 - 295*z**2 + 103*z**2 + 97*z**2)*(-2 + 4 + 2)*(1 - 2 + 2) in the form u*z + r + x*z**2 and give r.\nAnswer: -2652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1079 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 + 42. Which is the closest to 0.1? (a) q (b) 3 (c) -0.21 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.1, 4\/5, 17.\nAnswer: 4\/5, 2.1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2 + 2. Let z = 6 - c. Let i(a) = -2*a**z + 2*a**2 - a**2 - 5*a**2. Let n(q) = 2*q. Calculate i(n(o)).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/6 - (-2 - -1). Let d(v) = 5*v + 5*v + 1 - v**q + 0*v - 4*v. What is the units digit of d(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -8\/433 in descending order.\nAnswer: -8\/433, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 3. Suppose 3*c + 9 = -5*h, -4*h + 0*h - f = 4*c. Suppose -4*z + v + c*v = -33, -4*z + 2*v = -38. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 40 = 253*j - 256*j, 2*j + 5*c + 31 = 0 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(832) + 3)*5*-3 + -2.\nAnswer: -47 + 600*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1721\/10 + -339\/2. What is the common denominator of 23\/2 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17406*n**2*u**4 + 5*n**2*u + n*u**6 - 10891*u**2 - 4 wrt u?\nAnswer: -417744*n**2*u + 120*n*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -21438*m**2 - 2*m + 1. Let j(v) = -53*v. Give o(j(d)).\nAnswer: -60219342*d**2 + 106*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 1:04 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i*k**2*m + 6*i*k*m - i*k - 16*i*m + 26326*k**2 - 7*k*m + 2*m wrt k.\nAnswer: -4*i*m + 52652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -t - 3*t. Let y be (0 + t)\/((-1)\/(-3)). Solve 5*j - 9 = -4*w + 3, 9 = y*w + 4*j for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 0)*(-5 + -1). Suppose c*n - 208 = 2*n. Suppose 4*w - n = 4*u, -4*u = 4*w - 30 - 30. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30594953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154, 270, 302, 262, 162, 14, -170, -378?\nAnswer: -598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 2\/7, 25575?\nAnswer: 25575","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -127.57 - -129. Let z = r - 1.359. Let q = 0.169 - z. What is q rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7803640 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*p**6 - 15*p**2 - 5*p**6 + 0*p**6 wrt p.\nAnswer: 240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 36*c**2. What is l(-1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 81\/12 + (-1)\/(-4). Suppose 3*f + 4*z - x = -z, 2*f + 5*z + 2 = 0. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkk. What is prob of sequence kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -238 by -7.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20287 = 806*u - 18401 for u.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5552 is divided by 123.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 266 and -50.\nAnswer: -13300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -s**6\/60 - 3*s**5\/40 - s**4\/8 - s**3\/12 + 9*s. What is l in u(l) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 459383813 divided by 7\nAnswer: 65626259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1. Let s = 48 + -44. Suppose -p + s*p - 24 = u. What is the highest common divisor of p and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2977 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-3\/4)*(f\/f**(2\/27)*f)\/f)**(5\/13))**25)**(1\/17) assuming f is positive.\nAnswer: f**(2375\/23868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -1, -5, 100, 882.\nAnswer: -5, -4, -1, 4, 100, 882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*f - 686, 0*f + 2*f - 154 = -t. Calculate the smallest common multiple of t and 12.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (36 + -36)\/(-2 + 0). Suppose -18*h + g*h + 24444 = 0. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208 + 347 + 689 = 46*w for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 814 (base 10) to base 5\nAnswer: 11224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3\/168808?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-32)\/48)\/(1\/(-6)). Let h be (4 + 2\/(-8))*k. Solve 2*f - h = -f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 12:02 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 41*b**2 + 41*b + 39. Determine h(42).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3 + -4*sqrt(1053) + -3)**2.\nAnswer: -288*sqrt(13) + 16864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3805, 15228, 34267, 60922, 95193, 137080, 186583?\n\"Answer: 3808*p**2 - p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2841 + -2829. Solve 32*t = z*t - 20 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -239\/1496 + -3\/136. Let f be (48\/160)\/(3\/4). What is the second smallest value in 3\/7, f, c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 2. Let z(o) = 2*o + 6. Calculate -14*m(i) + 5*z(i).\nAnswer: -4*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 l, 1 c, and 1 e when four letters picked without replacement from {c: 1, l: 4, j: 3, x: 5, e: 1}.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 1, -1, -1.9, 2.3, 0.1, -24?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 803 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30308?\nAnswer: 2, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c. Let g be n(0). Let r = 0 + g. Let a be (-560)\/(-910)*(-208)\/96. What is the nearest to -2\/9 in r, a, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 74\/3 + -25. What is the third smallest value in -2\/11, h, 1\/4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3 (b) 32\/9 (c) -1 (d) 4 (e) 0.55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/159, -0.2, 143161?\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.016056 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53106306?\nAnswer: 2, 3, 11, 467, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8380536 to the power of 1\/3, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -484, -486, -488, -490?\nAnswer: -492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2)\/o**(20\/3) assuming o is positive.\nAnswer: o**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vt when two letters picked without replacement from tvozotzoztzvtv?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, c: 1, x: 1, s: 3, g: 1}. Give prob of picking 1 s and 2 a.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/149, -3, -0.4, 2\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4858*n - 217*n - 73*n)*(-2 - 2 + 8)*(n - 2*n - n) to f*n + l + p*n**2 and give p.\nAnswer: -36544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 12:47 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*i**4 - 66*i**3 + 134*i**2 - 21*i - 653498.\nAnswer: 8*i**3 - 198*i**2 + 268*i - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211 + 103 = 18*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 43 + 6. Suppose -31 = -2*f + 5*v, -v - v = f + u. Solve -f*k - 5 = 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99324720 divided by 120?\nAnswer: -827706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mn when two letters picked without replacement from {m: 9, g: 1, n: 1}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**3 - i**2 - i. Let k be f(-1). Let m be k - -1*(-12)\/(-4). Suppose -m = 3*l - 2*l - d, l - 2*d = -6. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 9:18 PM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1787 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 10*v + 13. Let s(c) = 21*c + 27. Let a(p) = 5*k(p) - 3*s(p). Let b be ((-15)\/(-10))\/(9\/(-24)). Does 6 divide a(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/8 - 23\/4. Let f be (-4)\/i + (-2)\/(-6). What is the units digit of -2*(0 + f) + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**2 - 905*b + 905*b.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -1. Let r be (4\/(-1) - -1) + w. Is r - -78 - (1 + -4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -26*b - 1972436. Let i(t) = 5*t. What is i(x(h))?\nAnswer: -130*h - 9862180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 5 = f. Suppose -5*q + 2*j = -0*q - 31, 0 = 3*q + f*j - 6. Suppose -c = q*d - 6 - 16, 3*d = -2*c + 16. Solve c = 5*p - 18 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 12 = 24 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.134846us in minutes?\nAnswer: 0.0000003689141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v + 6. Let h be c(-2). Suppose -2*i + 312 = h*i. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -977428911*n**3 - 322671949*n + 2 wrt n?\nAnswer: -5864573466*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*g**2*p**2 + 16*g**2 + 140*g*p**2 + 90*p**2 + 19587*p + 2 wrt p.\nAnswer: -28*g**2 + 280*g + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 times 389?\nAnswer: -43179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -416106 from 1.82.\nAnswer: 416107.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 189*i + 4258 - 303 - 175 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p + 27 - 202. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.136? (a) -3 (b) 33 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*v)*(-3*v - 1 + 1)*(6 + 7 + 5)*(7*v - 2*v - 8*v).\nAnswer: 486*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*h - 5. Suppose 0 = -89*u + 94*u - 2300. Suppose -3*n + u = 2*p, p + 18 = -h*n + 323. Calculate the highest common factor of 60 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9065 = 2*s + 3*w, -w - 3422 - 1113 = -s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -27*d**2 + 2*d - 2. Let p(f) = -1160*f**2 + 87*f - 87. Determine -87*g(j) + 2*p(j).\nAnswer: 29*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - c - 16 = 0, -4*t = -7*t + 2*c - 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1234 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (89\/(-4))\/(2264\/554). Let a = -2\/283 - z. Calculate the common denominator of a and (-747)\/90 - 10\/(-50).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*f - 18. Is 160\/f - (-2)\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -149537602*l**3 - 5683*l**2 - 3*l - 589.\nAnswer: -897225612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 3:00 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 354*u + 15 = 359*u. Solve -3*n = d - 4, u*d + 0*d - 12 = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*v + 100*v - 530 - 982 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -3.4. Let g = 5.3 - k. Let a = g + -4.9105. Round a to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 0*h**2 + 4*h - 2*h - 3. Suppose 2*d - 4*y = 14, 0 = -5*d - 6*y + 2*y - 35. Give i(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 - 972*h**3 + 1 - 23*h**2 + 25*h**2 + 0*h**2 to the form u + l*h**3 + k*h + i*h**2 and give l.\nAnswer: -972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37217413 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -73*x**5 + 124*x**2 - 2. Let k(w) = -219*w**5 + 373*w**2 - 7. Let f(u) = 2*k(u) - 7*r(u). Find the third derivative of f(o) wrt o.\nAnswer: 4380*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - 1. Let r = -0.5 - 0.6. Let c = -0.1 - r. Put o, 3, c in descending order.\nAnswer: 3, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 7*u**5\/60 - 2*u**2. Let a(i) be the third derivative of -i**5\/60 - 12*i**2 - 5. Calculate a(h(f)).\nAnswer: -49*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/18056 and 43\/31972662.\nAnswer: 127890648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 72419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13460 and 6730?\nAnswer: 13460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 59811, 5, -1 in ascending order.\nAnswer: -1, 5, 28, 59811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4\/523?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.738 * 0.04.\nAnswer: -0.10952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3799, -15176, -34137, -60682, -94811, -136524, -185821?\n\"Answer: -3792*k**2 - k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1573255462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 10. Suppose 2*x - k = 5. Solve 0 = -x*a, 8 = -4*t + 2*a + a for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 153 and 612.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30252 divided by -6.\nAnswer: -5042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 - 3*l**2 + 18*l.\nAnswer: -3*l*(l - 2)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.36 - -0.416. Let y = k - 0.256. Suppose -3 + 1 = -m. Which is the nearest to m? (a) y (b) 0.2 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -160.22?\nAnswer: -640.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3440\/(-245) - (-128)\/3136) + (-80)\/(-5). Determine x, given that 9\/2 + 37\/2*x + 21*x**3 + 29*x**f + 1\/2*x**5 + 13\/2*x**4 = 0.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-65)*216\/(-864).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*s**2\/3 + 56*s - 90.\nAnswer: -2*(s - 15)*(5*s - 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-125)\/(-60) + (2 - 6) and 47\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -w - 11, 0*w - t = -5*w - 35. Is (8 + w)\/((-4)\/(-218)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cadb1 + -1?\nAnswer: -cadb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -53) + -28 + 0 + -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-443)\/(-3))\/(-8 - (-245)\/30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(72) + 1*sqrt(72) - sqrt(72) - (5 + (sqrt(72) + 1 - sqrt(72)) - sqrt(72)))**2.\nAnswer: -264*sqrt(2) + 409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 183135600, 183135601, 183135602?\nAnswer: 183135603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 13258*h + 26208*h - 12943*h.\nAnswer: 7*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**3 + 378*y**2 - 743*y**2 + 70*y**4 - 166*y**4 + 369*y**2 in the form g*y**3 + l*y + q*y**4 + j + m*y**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from axxyyaamxmaya.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 28*i**2 + 13*i - 41. Suppose 14*a - 16 = -4*x + 12*a, -3*x = -2*a - 5. What are the prime factors of f(x)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 9*m + 10. Let n be b(-9). Let t be (4\/2)\/(4\/10). Put 2, n, t, -4 in decreasing order.\nAnswer: n, t, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10 + 102\/(-5) - (-2)\/5. Let a be ((-14)\/y - 2)*1060\/(-477). Let -2\/3*u + 2\/3*u**2 - a = 0. What is u?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -86 - 25. Let t be c\/21 + (-6)\/(-21). Is ((-606)\/(-9))\/(t\/(-15)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12771, 12787, 12803?\nAnswer: 12819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -5*r + 515. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 15) to base 2\nAnswer: -111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2340, -2334, -2324, -2310, -2292, -2270, -2244?\nAnswer: -2214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d*k**3 + 465*d*k + 2*d - 365 with respect to k.\nAnswer: -3*d*k**2 + 465*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 25*g - 1. Let k be z(-26). What is the third derivative of -9*d**3 - 28*d**3 + k*d**3 - 6*d**2 + 8 wrt d?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtjt. What is prob of sequence jt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 87*t**2 + 69*t**2 - 159*t**2 - 9*t**3 + (3 - 4 - 1)*(-2*t**3 - 2*t**3 + 5*t**3) - 9*t**3 + 15*t**2 - 15*t**2.\nAnswer: -20*t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/(u\/(u*u**(-1\/28)\/u)))*u\/u**(6\/17) assuming u is positive.\nAnswer: u**(801\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -14. Let w(b) = b**3 - b**2. Let j(m) = 4*m**3 - 4*m**2 + 5. Let k(l) = j(l) - 5*w(l). Calculate k(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 13*o - 34. What is d(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -13*d**2 + 4*d - 1. Let g(y) = 14*y**2 - 21*y + 6. Let q(v) = -14*v**2 + 25*v - 7. Let x(t) = 5*g(t) + 4*q(t). What is 3*w(u) + 2*x(u)?\nAnswer: -11*u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5800598.\nAnswer: 2, 41, 127, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -10*b + 33. Let k(c) = 4*c + 4. Let i(t) = 3*a(t) + 6*k(t). What is i(21)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = 5*l - 2*h, 5*l + h + 2*h = 103. Suppose -3*b = l - 5. Let a = 83 + -86. Which is bigger: a or b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 8:46 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 5*i**5\/4 + 16*i**3\/3 - 16*i. Find the second derivative of k(y) wrt y.\nAnswer: 150*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1520)\/285*1*3*8*9\/(-720).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3 - 1163*p**2 + 310752*p = 0. What is p?\nAnswer: 0, 416, 747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1005.\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -25. Let g(n) = -14*n - 41. Calculate the lowest common multiple of 15 and g(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -199 + 204. Suppose f = a*w - f - 1246, -3*w - 5*f = -760. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4\/5, 11\/362, -4?\nAnswer: 11\/362","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*f**5 + 10943*f**4 - 20*f**3 + 71*f**2 - 8574*f - 1 wrt f.\nAnswer: -600*f**2 + 262632*f - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*s**3 - 31*s**3 - 2*s**3 + 4*s**3 + 88*s**3 - s.\nAnswer: 143*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2 - 45*k + 83. Determine r(-25).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2525 at most -2699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (16 - 15)\/(996\/(-333) - -3) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) 4 (b) -1\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 = -5*k - 17. Let x = -15 - k. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12247 < 355164\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 2 - ((-8 - -7) + -20)) + 29\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2556410035 to the nearest integer?\nAnswer: 1367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 42113678 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 2)*(0 + 2 - 4)*(0 + 2*p**3 + 0)*(-p + 0 + 0).\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**2 - 4 + 3*r**2 - 3*r**2 + 3*r**2 to h*r + x*r**2 + l and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -22.3, -0.2, 0.37, -13, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -483 - -338. Let v(l) = -10*l - 1. Let z be v(7). Let r = z - b. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -8. Suppose -4*c + 40 = -3*k + 5*k, 4*k = -5*c + 65. What is the lowest common multiple of k and x?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (72\/225)\/(2\/5). What is the second smallest value in c, -3, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 6*z - 28. Let h(m) = 4*m**2 + z*m - 7*m - 2*m**2. Let c(n) = -4*n**2 + 5*n**2 - 8*n**2. Calculate h(c(w)).\nAnswer: 98*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxxxixi?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*v - 9. Let f be (v - (-10)\/(-4))*(-7 + 3). Suppose f*s - 1004 - 138 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 24*m + 25. Let y be b(25). Solve y - 3\/2*i**2 - 1\/2*i**3 + i - 1\/2*i**5 + 3\/2*i**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -66708.15 to the nearest 10.\nAnswer: -66710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -419 + 475 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115, 174, 253, 346, 447, 550?\nAnswer: 649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 14566408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (56 - 47) + 192 + 1 is divided by 105?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*2\/12)\/((-8)\/(-2))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -6.4, 236, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 104 + -47. Suppose 22*a = l*a - 16345. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 6. Let r(a) = -24*a**3 - a**2. Is r(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 278385 by -278385.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*v + 284 = 14*v + 84 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -363 divided by 121\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -4 + (-3 - -2) + 15 + -419 + 331\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*k - 37130 = 79*k - 840*k + 317*k for k.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c002b (base 14) in base 15?\nAnswer: 2054a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -1. Suppose 5*q + g*s = 47, -3*s - 40 = -5*q - 14. Let y = -9 + q. Let b(w) = -2*w - 1. Determine b(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*d**5\/5 - 249*d**4\/5 - 63*d**3.\nAnswer: 3*d**3*(d - 15)*(6*d + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*q = 116120 - 115960 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 46402 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 49477 divided by 2\nAnswer: 49477\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-195)\/26)\/15)\/(2\/(-11092)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1468 is divided by 54.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -4*z + 19, 0 = 4*r - 206*z + 203*z + 11 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 2\/33*j**3 + 0*j + 1 + 0*j**2. Find o, given that l(o) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4228596*b**4*i**2 - i**2 + 5*i - 421595 wrt b?\nAnswer: 16914384*b**3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 0, j + 8730*a - 6 = 8732*a for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 8759072?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3242300273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 234499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/15 + 4\/(-10). Let m(p) = 5*p**3 + 2*p**3 + y*p - p. Let r = 2442 - 2443. Determine m(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -229 and 18.\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**1*j**(1\/5))**(1\/10) assuming j is positive.\nAnswer: j**(3\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**3\/2 + 613*r**2\/2 - 24133*r - 24440 = 0.\nAnswer: -1, 94, 520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 a when four letters picked without replacement from eeeeekekkkkkea.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -10 (b) -4 (c) -1\/6 (d) 0.1 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7616316 days to milliseconds.\nAnswer: 65804970.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 547, 548, 549, 550?\n\"Answer: s + 546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302400 is divided by 240.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -328.9552 to the nearest integer.\nAnswer: -329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 289 a factor of 1247820489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -289*h**8\/56 + 613*h**5\/30 + h**4\/12 + 3120*h**2. Find the third derivative of s(v) wrt v.\nAnswer: -104040*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 3:04 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 9:22 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -626*y. Let z(c) = -c - 15. Determine z(k(g)).\nAnswer: 626*g - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259 + 34*c + 259.\nAnswer: 34*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 + 0 + 0)*(2 + 4*z - 2 + 2*z + 3*z - 6*z + (3 + 1 - 3)*(-2*z + 2*z - z) + z + 1 - 1).\nAnswer: 3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-159)\/(-15) - 3\/5. Let l = n - 4. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*i - 0*i, 5*w - 4775 = 5*i. Suppose 0 = 4*j + k - w, -4*k - 194 = -3*j + 535. Calculate the remainder when j is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 17*h - 54. What is j(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3219 - -22565\/7. Let t = -283 + 1957\/7. Calculate the common denominator of t and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**6\/120 + 13*v**5\/30 + 11*v**4\/8 - 13*v**3\/3 - 3*v**2. Let g be 706\/26 + (-116)\/754. What is the tens digit of h(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2*c = d - 15, 5 = -c. Solve 0 = -d*r - 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21.981 - 2022.419. What is t rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 683 + -5b6b?\nAnswer: -54b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z = 21*z + 6. Is -6 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 2:13 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 8 = -0*y. Suppose -l + 54 = 2*l - 4*o, -31 = -l - 3*o. Let k = l + -175\/8. What is the second smallest value in y, 2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2346 less than 0.46?\nAnswer: 2346.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-24) - (-50)\/8. Suppose -g + f*g = 10. Which is smaller: g or -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 177, 148, 125, 108, 97, 92?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 15. Let d be k\/(-5 + 3)*1. Suppose 3*f = 2*h - 120, -f - 300 = -d*h + f. What is the remainder when h is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 72192000 to the nearest 1000000.\nAnswer: 72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 + -35. Which is the second biggest value? (a) 3\/2 (b) -1 (c) k (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**6\/360 - 11*s**5\/180 - 7*s**4\/9 - 10*s**3\/3 - 5*s**2 - 309*s - 1. Solve k(i) = 0 for i.\nAnswer: -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1420*-2.\nAnswer: 2840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -10, 485, 4 in ascending order.\nAnswer: -10, 0, 4, 485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**2 - 85*d + 80 = 0. Calculate d.\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21222 - 21217. Suppose 0 = -5*d - 0*d + 2*o + 6, 5*d - 4 = 3*o. Let s(p) = 2*p**2 + p**2 - 7 - 7*p**d - 3*p + p**3. Determine s(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -19. Suppose -555 = -5*j + r*h, -4*h = -4*j - 3*h + 451. What are the prime factors of 3\/(-6) - j\/(-4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11100101110010010 (base 2) to base 6\nAnswer: 2304402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.1, 1\/60, 0.2, -3 in decreasing order.\nAnswer: 0.4, 0.2, 0.1, 1\/60, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 41945.89 microseconds in nanoseconds?\nAnswer: 41945890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007746857 to 6 dps.\nAnswer: -0.000775","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 298008 and 10728.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7\/26 - 15\/104. Which is the nearest to 0? (a) l (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + (-30 - -2) + -5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2888, 2889, 2890, 2891?\nAnswer: 2892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 11*r + 4*r = -4*r + r - 4, 3*r = -4*s - 25 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1 - 1)\/(-2))\/(-1). Suppose 4*j - 3*j = 0. Let a = y + j. Which is greater: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -30*s + 367. Let l be q(12). Solve 5*d = -5*c - 3 + 18, -l = -3*d - 4*c for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 (base 13) in base 4?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2070 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: Let z(c) = -c**2 - 11*c - 6. Let s be z(-10). Solve s*k = 2*k + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 264 = -5*v - x, 107 = 2*v + x. What is the remainder when 1110 is divided by v?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/17416 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -243*w + 4884 - 9015 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 336?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 4*o - 1090, 27*o - 1095 = -5*w + 32*o. Suppose 311 = -8*f + 2031. Are w and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515*g**2 - 2*g**3 - 515*g**2.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 959071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*h = -16*h - 17*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (19 - (-11 - -7)) + (-107 + 42 - 32)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/1157760 and 43\/8.\nAnswer: 1157760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, -2\/5, -29, -18, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(7*14\/49))\/(66\/(-18))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3 - 44*s - 47*s - 2 + 140*s - 32*s. Let h(o) = -17*o + 4. Calculate -5*h(n) - 4*x(n).\nAnswer: 17*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8540 divided by -20?\nAnswer: -427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70 - 70.39. Let o = c - 13.11. Round o to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (-4 + 8 - (-6 + 7 + -4)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 57\/(-15) + (-2)\/10. Let l be (d\/(-3))\/(6\/9). Suppose -8 = -4*q - l*o, -6*q - 3*o = -3*q - 6. Solve -3*r = -q*r + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3163425074?\nAnswer: 2, 1581712537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 125202676741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7685 and 7155?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence duho when four letters picked without replacement from {d: 1, h: 2, o: 2, u: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a + 2. Suppose 35 = -5*l - 2*b, -b - b = -5*l - 15. Let i = l + -1. Let j be (2\/i)\/((-4)\/24). Determine m(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbn when three letters picked without replacement from nbnnnnnnrr?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + 1*(sqrt(2) + (4 + sqrt(2))**2) + -4 + 5.\nAnswer: 9*sqrt(2) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((56\/21)\/4)\/((-4)\/(-42)). Let d(k) = -3*k**2 + 0*k**3 + k - 7*k - 1 + b*k - k**3 + 0*k. Give d(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**3 + 14*a**3 - 27*a**3 + 8624*a**2 - 8624*a**2 + 10*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(704) - -5*sqrt(704)*6)**2 - (3*((-2*sqrt(704))**2 + sqrt(704)) + (-2*sqrt(704) + 0)**2).\nAnswer: -24*sqrt(11) + 4048000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - p = 609, 2*h - 4*p = 322 - 28. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31.7? (a) 0.5 (b) 2 (c) -6\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*a**3 - a - 11*a**3 - 4*a**4 - 4*a**2 + 16*a**3 to c*a**3 + l*a**2 + q + o*a**4 + w*a and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 40\/42 + (-4)\/6. Let m = 17 + -11. Suppose 10 = 4*g + m*g. What is the third smallest value in g, -0.4, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33\/4*q**4 + 9\/4*q**5 + 15\/4*q**2 + 37\/4*q**3 + 1\/2*q + 0 = 0. Calculate q.\nAnswer: -2, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, -140477, -4, -6\/7 in increasing order.\nAnswer: -140477, -51, -4, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 + 10*z**2 + 9*z**2.\nAnswer: 17*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-7)\/((-84)\/32)*(-2 - -26) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -3\/5, 28, 0.5, -11?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20.41 + 6.49. Let x = r - 27. Is 70 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.76987 rounded to 2 dps?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 133 - 131. Let k(f) = -7*f + 12*f**2 - 6 + f**3 + 4 - 21*f**r + 3*f**2. Let s(a) = 3*a - 2. Let g be s(3). Calculate k(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/979?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 5*h. Let q(c) = -c**3 - 3*c**2 + 9*c - 9. Let n be q(-5). Let x be k(n). Are -7\/2 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sgs when three letters picked without replacement from gsgsssssssssgsss?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45.19 - -40.19. Let r = 1231\/55 - 111\/5. Which is the nearest to 1\/4? (a) -0.5 (b) r (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 854bb9 (base 12) to base 4.\nAnswer: 20001122331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*h + 4723 - 13648. Calculate the lowest common multiple of h and 56.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a year?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence li when two letters picked without replacement from {u: 3, i: 2, l: 7}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 18. Solve -s*t - 2 = -3*m, -2*m + 0*t + 2*t = -4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*f + 2*f + 948 = 24*f for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/55 or 1\/8?\nAnswer: -3\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 145.0561 millennia?\nAnswer: 145056.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*j - 9*b = -129*j - 48, 3*b = 12 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*16363997\nAnswer: -1636399.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -10. Let h be (-42)\/(-4)*(-8)\/r. Let z = h - -21. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91794?\nAnswer: 2, 3, 15299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 65*k - 71*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 i when four letters picked without replacement from inniiiiiiniiiiniii?\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + -1 + 22*(-27)\/3. Let g = c + 183. Sort 5, -5, 0, g in increasing order.\nAnswer: g, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42 times -1403.6?\nAnswer: 589.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 10*b**2 + 12*b + 7. What is the tens digit of m(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -228.25 + 228.249976269. What is n rounded to six dps?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1768.433ml in litres?\nAnswer: 1.768433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -411*w - 478. What is o(0)?\nAnswer: -478","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 minus -85085880784?\nAnswer: 85085880778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22684\/7 - 3235. What is the common denominator of r and 1 + 146\/(-10) + 2?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of 213*r**7\/35 - 263*r**5\/30 - 166*r**2 + 2*r. Find the third derivative of j(i) wrt i.\nAnswer: 30672*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1411.45 to the nearest 10.\nAnswer: -1410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) 1 (c) -5 (d) -72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1830524 and 9816998.\nAnswer: 4646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 50126108?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -430, -1727, -3888, -6913, -10802, -15555, -21172?\n\"Answer: -432*g**2 - g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**5\/7 + 4808*x**4\/7 - 67694*x**3\/7 + 24676*x**2\/7 + 171264*x - 1160640\/7 = 0. Calculate x.\nAnswer: -2418, -4, 1, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119147 is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 - 4*m**3 + 4*m**3 - 5*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*l + 392 = -80*l. Suppose 0 = -10*p + 3*p + l. Suppose p = 19*d - 17*d. Solve 4*g = d - 19, -5*w = -2*g - 21 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 1) + (-4 - (-10 - -8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4489556 rounded to the nearest 100000?\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/5 - (-2)\/(-5). Suppose -5*o = -2*f - 6, i = -4*o + 4*f + 12. Suppose -3*h + 4*h - 31 = o. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17943 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -454310 to the nearest ten thousand.\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.56 times 339?\nAnswer: -528.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (17605\/(-3990) - (-3)\/9)\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 9 = x. Let c = 18 + -13. Put c, x, 0 in descending order.\nAnswer: c, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 26468, 35491, 44514, 53537, 62560, 71583?\n\"Answer: 9023*b + 17445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*y - 47360, 5*g - 48*y + 50*y = 78942. List the prime factors of g.\nAnswer: 2, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (3 - 11)) + (-9 - 13).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 99*l - 1 + 2*l**2 - 2*l**2 + 103*l. Suppose -155*g = -145*g - 50. Give n(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -18758960.\nAnswer: -75035840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3568197541?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 251945729.000287 + -251946162. Let b = a - -433. Round b to five dps.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - 4*p - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/5)\/((-4)\/(-760)). Let v be 2\/(-9) - j\/18. Suppose -q + i - 7 = -2*q, 2*q - 29 = -5*i. What is the smallest value in -1, v, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*-3*sqrt(114)*-4)\/(sqrt(6) + (sqrt(6) - (sqrt(12)\/(sqrt(2) - (sqrt(2) + sqrt(2)*-4)) - sqrt(6))) - (sqrt(486) + 2*sqrt(486))).\nAnswer: -288*sqrt(19)\/97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p - p - 4*p + 0*p.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/1900 and -197\/1650?\nAnswer: 62700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**2\/3 + 328*d - 86039\/3 = 0. What is d?\nAnswer: 97, 887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.038 in 3, 0.4, -0.4, 4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oht when three letters picked without replacement from {h: 1, t: 7, y: 1, w: 3, o: 2}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*v - 57*v + 78 = -242. Find n such that 10\/7*n - 18\/7*n**2 + 2*n**v - 10\/7*n**3 + 4\/7 = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v + 4*v**2 + v + 3 + 3*v - 3*v**2. What are the prime factors of s(-5)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 - 2871*q + 686670.\nAnswer: 3*(q - 487)*(q - 470)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -39521104.74 rounded to the nearest ten thousand?\nAnswer: -39520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 10*j**2 + 2673*j - 11. Let c(i) = 27*i**2 + 8020*i - 29. Calculate 3*c(m) - 8*x(m).\nAnswer: m**2 + 2676*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 62 = -u. Let a = u + -21. Suppose 5*b = b + a. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3697\/2*(-6)\/(-3). Let y = m + -51701\/14. Find the common denominator of -83\/10 and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x - 1687 = -1582 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -148*k. Let f(a) = 13616*a. Let j(s) = -2*f(s) - 185*v(s). Let w(n) = 2*n. Calculate w(j(m)).\nAnswer: 296*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10746296 divided by -1?\nAnswer: -10746296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -10 + 37*b + 1\/6*b**3 + 1\/18*b**4 + 0*b**2 - 1\/60*b**5. Let p(k) be the first derivative of d(k). Factor p(a).\nAnswer: -a*(a - 3)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 116884\/43 - 2718. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -l**3 - 23*l**2\/2 + 64*l - 974. Differentiate o(r) with respect to r.\nAnswer: -6*r - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1719 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 4*j - 7. Let w be q(6). Suppose 8 = 2*p - d - 24, 2*d = -w*p + 89. Is p > 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 1 = -t, -b + 4*t = 0. Suppose 4*f + 19 = -4*o + f, -o + 2*f = -9. Let q be (3 - 3) + 3 - (o + 4). Put 5, -3, q, b in descending order.\nAnswer: 5, q, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 175*p**4 + 62*p**2 - 3*p?\nAnswer: 4200*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -d**8\/840 + d**6\/300 - 3*d**2. Factor k(n).\nAnswer: -2*n**3*(n - 1)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, y: 3}. Give prob of sequence yyfy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1023 - -13?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k**4 + 759264*k**3 + 8961428*k**2 + 25519344*k - 5468400 = 0 for k.\nAnswer: -6, 1\/5, 37975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - 7. Let n = -9 - p. Let x = -5\/7 + 3\/7. Which is the closest to 2\/9? (a) n (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0531793 - 155552591\nAnswer: -155552590.9468207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 92390 by 76.\nAnswer: 46195\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (-5 - 1)) + (-5 + -27 - -90)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**2 + 8*q**2 - q + 10*q**2 to o + s*q + n*q**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432167 is divided by 21362?\nAnswer: 4927","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.068 (b) -2.18 (c) -3\/61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28.25 + -19.25. What is the third smallest value in k, 28, -3\/5?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 15. Suppose -5*a + 3*a = -y. Let g be ((-4 + a)*1)\/(2 - 1). Solve -6*u + g*x = -u - 16, -3*x - 1 = -2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15909 divided by -1.\nAnswer: 15909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 952128 and 7344?\nAnswer: 16186176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-15)\/180*(-80 + (4 - 9)).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6370 divided by -4528\nAnswer: -3185\/2264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 72184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 54 = 5*t + 4*b, 3*t - 3*b = 33. Suppose 615 = -8*o + t*o. What is the highest common factor of 82 and o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -729 by 6749.\nAnswer: -729\/6749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 234 + -189 + 4 + (-8 - 8) + 0 + 1?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.012 - 0.088. Put p, -2, 0.2, 20 in ascending order.\nAnswer: -2, p, 0.2, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, n: 2}. Give prob of sequence nvn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 8*x - 84, 5*a = -2091*x - 2087*x + 4183*x - 70 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 129*p + 9158. Determine i(-71).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 25043 times -1075\nAnswer: -26921225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 141033?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k - 774 = -828. Solve -11 = 4*c + 3*o + k, 10 = -3*c - 5*o for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.083976*-0.271\nAnswer: 0.022757496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - 8*y + 4 = -2*p, -3*p = -5*y + 16 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 1368*f**2 + 3*f - 1. Let h be s(1). Suppose -502 - h = -6*y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 367, 615, 1241, 2431, 4371, 7247, 11245, 16551?\n\"Answer: 31*m**3 + 3*m**2 + 22*m + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/423, -5, -0.1, -1.6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 372761*p**2*w**2 - 8*p**2 + 3*p*w**3 + 620356696*w**3 wrt p?\nAnswer: 745522*p*w**2 - 16*p + 3*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(7\/2)*o*o\/(o*o*(o\/(o\/o**(4\/3)*o*o))\/o*o))\/(o**5)**(-3\/13))**(-2\/21) assuming o is positive.\nAnswer: o**(-415\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10719477?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -163841, -655553, -1475073, -2622401, -4097537, -5900481?\nAnswer: -8031233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92450*b**5\/13 + 4346870*b**4\/13 + 63316648*b**3\/13 + 294058456*b**2\/13 + 5454432*b\/13 + 25344\/13 = 0.\nAnswer: -24, -12, -11, -2\/215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*r + 837 - 443 = 0, -2*g = -r - 262. What is the remainder when 353 is divided by g?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/8)\/((-1)\/6). Suppose 0 = -3*k - a*r + r + 202, -2*r = -5*k + 342. What is the highest common divisor of k and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m**3 - 11*m**4 + 8*m - 2 - 7*m + m**3 + 0*m**4 as z*m**4 + q*m + a + d*m**3 + r*m**2 and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30\/11, -1\/36, -3\/4.\nAnswer: -3\/4, -1\/36, 30\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*1*(-4 - 6). Suppose 2*n = 7*n - 2*x - 4, -2*n - 5*x - v = 0. Find o, given that -1\/3*o + n + 2\/3*o**2 - 1\/3*o**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6080167?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 34, 42, 48?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010113 rounded to 4 dps?\nAnswer: 0.0101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/8 and 129\/2380.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 21 = 3*o, 2*y - 2172*o + 2173*o = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5215*t**3 + 1756*t**3 + 1752*t**3 + 1724*t**3.\nAnswer: 17*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*c - 37 = 0, 5*s + 3*c - 161 + 10 = 0. What is the first derivative of -40*a**4 + 58 + s + 4 - 8*a**4 wrt a?\nAnswer: -192*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -740 + 747. Solve -4*c - 2*s + 10 = 0, -2*c - x = 3*c - 4*s for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -836119 and 0.4.\nAnswer: -334447.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -571 (base 8) in base 14?\nAnswer: -1cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of 2*b**7\/315 + 7*b**6\/45 - 7*b**5\/9 - 8*b**4\/3 - 3671*b**2. Let q(s) = 0. What is s?\nAnswer: -16, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22677 + 22681. Put d, -5, -1, 0.06 in ascending order.\nAnswer: -5, -1, 0.06, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19047 - 3575.3871?\nAnswer: -3575.19663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 10 = w, -3*j = -0 - 6. Suppose 0*o - 4*c - 110 = -3*o, w*o - 88 = -c. Let r = 93 - o. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, k: 4, p: 2, c: 9}. What is prob of picking 1 m and 2 c?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a**2 - 128*a + 18. Give m(-32).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -750*f + 2226 = -736*f. What is the remainder when 798 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 1.32?\nAnswer: 3.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.19354105927 to 2 dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -1, -505409.\nAnswer: -505409, -14, -1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 * 0.02894.\nAnswer: 0.0020258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -25455241 (base 6) in base 3?\nAnswer: -1120021011121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 to the power of 1\/2, to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3*h + 15 = 0, -12*h + 7*h + 17 = 3*r. Solve -c + r*j - 1 = 0, 0 = 5*c - 5*j - 0 + 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 6) + 11 - 92\/13.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 17*o - 14. Calculate t(-13).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-3)*9\/15. Which is the closest to 1\/2? (a) 5 (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 - (-18 + 10 + (-10 - -6)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -38, -73, -130, -209, -310, -433, -578?\n\"Answer: -11*y**2 - 2*y - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*h - 39*b + 21*b - 112 = -22*b, -7*h - 2*b - 52 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*h - 19*h**2 + 69*h**2 - 23*h**2 - 12 - 24*h**2.\nAnswer: 3*h**2 + 20*h - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3 + sqrt(3)))**2 + 4 + (sqrt(3) - (sqrt(432) + (sqrt(432) - (sqrt(432) - (2 + sqrt(432)))**2))) + (3 + sqrt(3) + 2 + sqrt(3))**2.\nAnswer: -99*sqrt(3) + 237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259 - 2 = 59*q - 510. Solve 17*o - q*o - 24 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1198067 and 12246.\nAnswer: 7188402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-11)\/(-2) + -2)\/((-7)\/(-14)). Suppose -8*p = c*p - 450. What is p rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**2 + 7*z + 3. Let l be v(6). Let t = 45 + l. Calculate the remainder when t is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/4 + 249*a\/2 + 62001\/4.\nAnswer: (a + 249)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 18*l**2 - 2*l - 1. What is the tens digit of u(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 1, 4, 5, 3.2, -0.11 in descending order.\nAnswer: 25, 5, 4, 3.2, 1, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7421666*j + 7421618*j = 864 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g + 5. Calculate the remainder when 76 is divided by n(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4 - 54*r**3 - 729*r**2.\nAnswer: -r**2*(r + 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, -0.258, -2\/19, 419, -3, -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 4:10 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 - -35. Suppose -4*m = -2*b + 38, -3*b + y*b - m = 95. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/2 + 471*w**2\/2 - 1243227*w\/2 + 251328561\/2.\nAnswer: 3*(w - 323)**2*(w + 803)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*d**6*j - 8*d**5*j**2 - d**2*j**2 + d - 2*j**2 - 44*j wrt d.\nAnswer: 4080*d**3*j - 480*d**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 + 4)*(-100*h - 10181 + 10181).\nAnswer: 100*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 25 - (14 + (8 - -3 - 33))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -35. What is the greatest common divisor of 176 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 + (-13)\/(-52)*40. Let m = -101 + 46. What is the second biggest value in -3, -5, d, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -389c50?\nAnswer: 389c4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 194*i - 20. Let m(j) = -129*j + 13. Let x(v) = 5*k(v) + 8*m(v). Let p be x(5). Let l = -4 + p. What is l rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*d, -6*v + 2*v - d = -735. Let h(u) = -376*u - 9772. Calculate the smallest common multiple of h(-26) and v.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1*4)\/(-1 + 0). Let s = -2 - a. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-11 - (6 + -11))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -190*i - 2695. What is p(-13)?\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.65 + 2?\nAnswer: 3.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -90*c**2 + 41*c - 54*c**2 - 20*c - 21*c + 2 as s*c**2 + m*c + j and give s.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -66, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*b + 131*b + 969 - 946 = 5387 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**3*p - 105*g**3 - 347*g**2*p + g**2 - 4*g - 40809*p + 5856 with respect to p.\nAnswer: -g**3 - 347*g**2 - 40809","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83872970.\nAnswer: 2, 5, 8387297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-94)\/141)\/(4\/(-3)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 387\/135 + 2\/15 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -7*r**4\/6 + 5*r**3\/3 - 5*r. Find the second derivative of b(h) wrt h.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-4))\/(u*u\/(u*u*u**(-1\/8))) assuming u is positive.\nAnswer: u**(39\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -231 by -7.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4*w**3 - 74628*w**2 + 65565504*w - 14759297280 = 0.\nAnswer: 456, 17745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 110*j**3*u*w - 3*j**2*u*w + 3*u*w + 3*w wrt j.\nAnswer: 660*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(1\/2)\/y)*y)\/y)\/y**(-14)*(y*y**(-2\/9))**(-17) assuming y is positive.\nAnswer: y**(41\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -1, -0.5, -581?\nAnswer: -581","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0.12. Let w = 0.04 + v. Let m = -26\/19 - -239\/133. What is the smallest value in w, -1, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*x + 1 - x + x + 7*x + (3 - 3 - 2*x)*(-1 + 4 - 2) - 3*x + 5*x - 4*x + 3*x + 0*x - 2*x - 1)*(-4*x + 14*x + 5*x).\nAnswer: 30*x**2 - 15*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-4)*15)\/((-12)\/(-32)). Solve -2*t = -4*p + 6*p + z, 6 = -2*p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 281147448?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**2 + 6*n**2 + 0*n**2)*(-3 + 0 + 2 + (-5 + 3 + 0)*(-1 + 5 + 1)).\nAnswer: -22*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12706319 to the power of 1\/2, to the nearest integer?\nAnswer: 3565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4059 - -20792. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125748 divided by -63?\nAnswer: -1996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8070*t = 7622*t + 10304 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 22*c**4 - 79*c**2. Let x(z) = 7*z**4 - 26*z**2. Let a be 8\/10 - 623\/35. Let n(r) = a*x(r) + 6*o(r). What is the third derivative of n(j) wrt j?\nAnswer: 312*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 2*l**3\/3 - 67*l**2\/2 - 610. Let b(k) = k. Give b(c(v)).\nAnswer: 2*v**2 - 67*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g + 1133*g**3 + 1117*g**3 + 1127*g**3 + 2 - 3422*g**3 in the form f + k*g**3 + o*g**2 + t*g and give k.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2898 and 120244?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47806, 50114, 52422, 54730, 57038?\nAnswer: 59346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1783822 = -607*x + 656*x - 3259699. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -122*l + 8595. Give t(70).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*p**2*z**5 + p**2*z**3 + p**2*z + 40*p*z wrt z.\nAnswer: 780*p**2*z**3 + 6*p**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6 = -o. Sort o, -4, 0 in descending order.\nAnswer: o, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 6266104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -9*g**3 - 4*g + 2. Let r(c) = 7*c**3 + 8*c**2 - c - 7. Let p(v) = -19*v**3 - 22*v**2 + 3*v + 19. Let h(n) = 4*p(n) + 11*r(n). Give -4*h(l) - u(l).\nAnswer: 5*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1897204013.\nAnswer: 23, 3586397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + k + 1. Let x(z) = -4*z**2 + z - 5. Let r(q) = 3*a(q) + x(q). Let f(u) = -u**2 - 29*u + 33. Let c = 100 + -130. Let h be f(c). Give r(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-11222))\/(3 - 18\/4). Let q = 22053806278 - 9033305212898710\/409603. Let j = l - q. Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*u + 5)*(1 - 1 - u) + (-4*u - 2*u + 4*u)*(25*u - 15*u + 12*u).\nAnswer: -46*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 + -29. Suppose -h + 5*o - m = -2*h, 0 = -5*h + 5*o. Suppose -h*g - 2*g - 10 = 0, -4*g - 3648 = -4*z. What is z rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 3:54 PM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 7*i**3 + 6*i**2 + 6. Let l = 31 + -38. Let a(h) = -8*h**3 - 7*h**2 - 7. Calculate l*q(b) - 6*a(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*c - 4*c + 3*c)*(2*c**2 - c**2 + 3*c**2) - 3*c**3 + c**3 + 5*c**3 + (-3*c**3 - 4*c**3 + 5*c**3)*(-5 + 4 + 2))*(c + 0*c - 4*c).\nAnswer: -15*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + -232.\nAnswer: -232.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2320)\/580*4\/48*39\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.74 + -15.14. What is the third smallest value in 0.7, 4, k, -3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 729\/(-36) + 21 + (-1 - (-57)\/4).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*r + 4 = -31*r. Put -59, 5, r in decreasing order.\nAnswer: 5, r, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -211 - -216. Let i(o) be the third derivative of 0*o**3 + 0*o**4 - 1\/10*o**5 + 0 + 0*o + h*o**2 + 1\/30*o**6. What is the third derivative of i(t) wrt t?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fu when two letters picked without replacement from {g: 2, u: 1, i: 1, f: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 379103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -378.27 - -3.27. Let w = s - -370. Which is the closest to w? (a) -1\/3 (b) 0.2 (c) 3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/2737*6834\/804?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -32.72\nAnswer: 3.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 3*p + 8. Let q(c) = c**2 + c - 3. Let t(a) = -2*i(a) - 6*q(a). Calculate t(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 557000 to the nearest ten thousand.\nAnswer: 560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 73.9, 4, -2\/11, 0, 0.03?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = -60*o + 24*o. Solve -4*p = c + o, 3*p - 5*c + 12 = -4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -0.073, -2, 1, -7.\nAnswer: -7, -4, -2, -0.073, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1340 and 8375?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 7*p = 18. What is the least common multiple of p and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.435742 to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-one halves of a year?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.81204162 and 2.17?\nAnswer: 1.35795838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 3*o - 35, 5*w - 5*o - 123 = 52. Suppose 0 = -3*u - w + 98. What is the remainder when u is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 + -0.1. Let b = -11.3 + 12. Let i = r - b. Are i and -2\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 68 = -2*m - 104, 3*m + 668 = 4*g. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + ((-532)\/(-190) - (-1)\/5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8753 is divided by 27?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/11)\/((-9684)\/(-97647))*(-8)\/3.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 12. Let r(w) = -5*w**2 + 4*w - 3240. Determine r(n(g)).\nAnswer: -5*g**2 + 116*g - 3912","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) 3\/4 (c) -1\/21 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/2 (b) 3 (c) -4 (d) -324 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44367*x**3 + 2715*x**3 - 23721*x**3.\nAnswer: -65373*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 111, 222, 333, 444?\n\"Answer: 111*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*w = 45901, -612*o - 27563 = -615*o + 5*w. What are the prime factors of o?\nAnswer: 2, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7*12\/(-294))\/((-28)\/(-1568)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 11. Is 13 a factor of (1 - (-3 + w))*25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(2 + 3 - 1)*(-1 + 3 - 4)*(-6 + 6 - 6*l).\nAnswer: 96*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4891408 to the nearest integer?\nAnswer: 2212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -a + 136, -43 = 2*q - 3*q + 2*a. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-494148.4\nAnswer: -1482445.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -339726 + 339726 - 14*k**4 - 2*k**2 - k - 3*k**3 + (1 - k**2 - 1)*(3*k**2 - 88*k + 88*k) as z*k**3 + n*k + h + l*k**2 + d*k**4 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4476 + -4475.98. Which is the fourth biggest value? (a) 0.5 (b) o (c) 1\/20 (d) -2\/9 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(343) - 6*sqrt(343)*-1) + sqrt(343) - (-3 + sqrt(343)*-1 + sqrt(343))))**2.\nAnswer: 21952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 7:31 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)\/sqrt(128))\/(sqrt(242)*1) + (0 + -1*sqrt(19) + -1)*4.\nAnswer: -175*sqrt(19)\/44 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -50595, -101184, -151769, -202350, -252927, -303500?\n\"Answer: 2*s**2 - 50595*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*i + 215 = -241, -a + i + 113 = 0. Let v = -196 + a. Let o = -45 - v. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1.5, 2, -5.464686?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -547.1239363 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q\/(q*q**(-26))*q)\/(q\/(q*q**26)*q)*q**(-2\/69)*q**(-2\/5)\/q assuming q is positive.\nAnswer: q**(18137\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 22?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 4*q - 3. Let c be s(5). Suppose r - 4*y + c = 6, 0 = 3*y. Solve 17 = -5*o - k, -2*o + 5*o = r*k - 24 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -13 + (69 - 76 - (-11 - -1)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*z - 3 = 0, -3*v + 2*v = -4*z - 16. Let k(u) = 2*u**3 - 4*u + 2. Let p be k(v). Suppose f + 2*f - p = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6507, 0, -3, 5, -6256, -2 in ascending order.\nAnswer: -6256, -3, -2, 0, 5, 6507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -4*p + 28, -6*p + 2*p - 4*g = -32 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*0.05391\nAnswer: 0.0016173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 1041*w**3 + 3*w**2 - 346*w + 6. Let x(v) = 1039*v**3 + 2*v**2 - 346*v + 4. Let u(d) = -3*x(d) + 2*y(d). Find the second derivative of u(f) wrt f.\nAnswer: -6210*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -1530?\nAnswer: 4590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c27 - -4?\nAnswer: -c23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3859*m - 9874*m - 8959*m - 4747*m.\nAnswer: -27439*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-24)\/(-16)*52\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11\/2263 - 18587\/1762877. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-5 - 8) + 65 + (-4 - 4) + -1\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or -678?\nAnswer: -678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -131110*j**5*s - 8*j**4*s**2 + 2*j**2*s**2 - j**2*s + 3*j**2 + 95646*j*s**2 wrt j.\nAnswer: -7866600*j**2*s - 192*j*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1358 and 336?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijij. What is prob of sequence jj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 2\/3*d**3 - 105*d**2 + 0*d + 0 - 1\/24*d**4. Determine t(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -5*h**3 + 4*h + 4. Let k(n) be the third derivative of 0 + 0*n - 11\/6*n**3 + 7\/60*n**6 + 0*n**5 - 11\/24*n**4 - 11*n**2. What is 4*k(r) + 11*q(r)?\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 499*s**2 + 532*s - 6. Let t(l) = l**2 + 4*l + 1. Let i(n) = -r(n) - 6*t(n). What is the second derivative of i(f) wrt f?\nAnswer: -1010","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -70981*z**3 - 59394.\nAnswer: -212943*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9503)\/(-306) - 41) + 10.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 t when two letters picked without replacement from {l: 2, r: 1, i: 1, t: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/21*(-234)\/10*(-4635)\/618.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 79.20528 to one decimal place.\nAnswer: 79.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46725 and 54250?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8, 4, -4, -16, -32, -52, -76?\n\"Answer: -2*d**2 + 2*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17538?\nAnswer: 2, 3, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**3 + 15*v**2 + 18*v + 75. Give g(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.3466 + -1.4466. Which is the closest to 4? (a) 2\/247 (b) v (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*c**2 - 11*c**2 - 42 - 22 - 3*c - 98 - 56 + c**3 in the form y*c**3 + g*c**2 + o + v*c and give o.\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 386*g - 424*g + 756, k - 4*g = -78 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -8*n + 275. Suppose -2*q - 5*k = q - n, -q = -k - 29. Suppose 4*s + 4 - 32 = 0. What is the remainder when q is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -18*l - 2. Let g = 26 - 16. Suppose g*f = 7*f + 54. Calculate the remainder when k(-2) is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 3*l - 15. Let w be -2 + 4\/2 + -22. Let o = l + w. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-1 - (-4884)\/324)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4203?\nAnswer: 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 4)*(-4 + 0 + 2)*(-m**2 + 0*m**2 + 0*m**2).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21689, 21650, 21547, 21350, 21029?\n\"Answer: -5*t**3 - 2*t**2 + 2*t + 21694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 82, 85, 88, 91?\n\"Answer: 3*t + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, f: 2, e: 3}. What is prob of sequence eaf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -335 - -599. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/14*6)\/(2\/14). Suppose w = -2 + i. Calculate the greatest common divisor of w and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 38 = -19*h - 73 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-34))**50*(((w**33*w)\/w)\/w)**(-6\/29) assuming w is positive.\nAnswer: w**(-49492\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -189.313 rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 23, 5 in decreasing order.\nAnswer: 23, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 + 0.3. Let o = 44\/21 + -415\/168. Which is the nearest to 0? (a) -0.2 (b) o (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -172 + 266 - (33 + 5)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*l + 0*l + 2*l)*(-5*l + 5*l + l) + 2*l**2 + 0*l**2 + 0*l**2 + l**2 - l**2 - 2*l**2)*(382 + 3396 + 1981) as k*l + d + f*l**2 and give f.\nAnswer: 11518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.045279 (b) 0.1 (c) -0.2 (d) -1\/6 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57.53 + 57.75. What is the smallest value in u, 4, 1\/50?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 573617.\nAnswer: 11, 52147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 173.5351 from 0.14.\nAnswer: -173.3951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**5 - 2*p + 2*p + (-4 + 1 + 1)*(-3*p**5 + 3*p**5 - p**5) + 0*p**5 + 3*p**5 - p**5 + 2*p**3 - 954095*p + 954095*p + 1 + 365*p**5.\nAnswer: 368*p**5 + 2*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 129 and 2365?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p - 2. Let j(f) = 4*f - 47. Let m be j(11). Let w(y) = -14*y - 218. Let t(s) = -3*s - 40. Let x(c) = 11*t(c) - 2*w(c). Calculate m*x(h) + 7*i(h).\nAnswer: -6*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/(v*v\/(v\/(v*(v\/v**(2\/27))\/v))))*v**(-11))\/(v**(4\/19)\/v**(-12)) assuming v is positive.\nAnswer: v**(-10406\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 10*v**2 + 8*v - 13. Let p be x(-9). Let d be 20\/(-5) - p\/1. Let g = -56 - -55.5. Which is the closest to d? (a) -5 (b) -0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -27*m + 1. Let x(g) = g. Suppose 3*l = 3*w - 6, 3*l = -w - l - 3. Let y(n) = w*v(n) + 4*x(n). List the prime factors of y(-3).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101021 + -211?\nAnswer: -102002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2481 by -83621.\nAnswer: 2481\/83621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 + 80. Let w = -20 + i. Solve w*k = 3*o + 9 - 21, 0 = o - 4*k - 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220125 divided by -5?\nAnswer: -44025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r + 54 = 9*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (187\/(-33) + 3)*(-15)\/(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2f (base 16) to base 6.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 388865 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**2 - 58*f**2 - 26*f**2 - 7*f**2 + 39*f - 39*f + (5*f - 2*f - 4*f)*(0*f + 0*f + f).\nAnswer: -88*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 57*y**2 + 9102*y - 138600.\nAnswer: 3*(y - 14)*(19*y + 3300)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + g**2 - 35*g + 65. Let x be u(2). Solve -3*o + 3*v + 9 = 0, -3*v = -7*o + 5*o + x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 19, 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z**3 - 9*z**2 - 4*z + 14. Let m be c(-4). Suppose -m*f - 1269 = -87*f. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r = r - 3824. Suppose -9 = -8*d + r. What is the remainder when 238\/4 + 1\/2 is divided by d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeececcee. Give prob of picking 3 e.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 28, 19, 8, -5, -20, -37, -56?\n\"Answer: -p**2 - 6*p + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 6048 = -0*y. Let h = y - 9052. What is h rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 172\/28 - (-10)\/(-70)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 351*d**2 + 630*d - 26827. Calculate o(-353).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13412*n**3 + 32410*n wrt n.\nAnswer: -80472*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 204, 2\/9, 1024, 26?\nAnswer: 1024","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*u = 2*u + 44, -14 = -k + 2*u. What is the least common multiple of k and ((-6)\/(-2))\/(9\/24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 + 142*l - 141.\nAnswer: -(l - 141)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**2\/7 - 268*z\/7 - 272\/7 = 0. What is z?\nAnswer: -1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 334.28, 1\/43, -0.5?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 59188076?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115614 is divided by 388.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -113, 3, -6216 in decreasing order.\nAnswer: 3, -113, -6216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (-3)\/((-6)\/4). Calculate the remainder when 42 is divided by 12 - z\/((-6)\/9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w**3 + 5*w**2 + 5*w - 14. Let b(k) = -2*k**3 - 3*k**2 - 3*k + 7. Let i(y) = -5*b(y) - 3*v(y). What is the first derivative of i(o) wrt o?\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**5\/60 + m**3\/6 + 8*m**2. Let n be g(-2). Put n, -1, -14 in decreasing order.\nAnswer: n, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 6 = -2*v, 2*v + 10 = 268*s - 271*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 2:40 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x - 2*x - 3*x)*(65*x - 16*x - 42*x).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 398.21 - 399. Let n = j + -1.21. Let x = 0.5 + 0. What is the nearest to n in x, -1, -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 146, -0.3, -0.1, 2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51.07 - 0.07. Let f = 50.876 - v. Let r = 0.12400004 + f. Round r to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.92 - -0.4.\nAnswer: 10.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 21, 28, 35, 42, 49?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11469.\nAnswer: 3, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -626 - 178a41?\nAnswer: -179467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*q + 0)*(q - q - q) + (-19*q**2 - 201*q + 201*q)*(-3 + 3 - 2).\nAnswer: 35*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 496 + -473. Solve -28*s - 25 = -m*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p. Let t(d) = 3*d. Let f(w) = t(w) + 2*u(w). Let h(z) be the first derivative of 4 - 3 + 1 - 2*z**2. What is h(f(s))?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 83, -69 in increasing order.\nAnswer: -69, 5, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2 - 5. Let b(n) = -4 + 2*n**2 + 3 - 3*n**2. Calculate 5*b(d) - s(d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 45*j**3 - 18*j**2 + 30*j. What is the remainder when z(2) is divided by 160?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-6))\/((-4)\/(-72)). Let q be (5\/(-4))\/((-3)\/l). Let f be 4\/q - 1\/(-5). Which is smaller: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -31*l - 1. Let n be 18\/(-9) - (0 + 2). Let q(k) = 93*k + 4. Let b(z) = n*q(z) - 11*o(z). What is the derivative of b(t) wrt t?\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*((-12)\/66 + (-35)\/110). Suppose -3*q + 12 = 0, -3*q = -4*w - u*q + 48. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 2 - 2)*((-d - 2*d + 4*d)*(4 - 3 - 2) + 5013*d - 7611*d - 5700*d) to the form t*d + o and give t.\nAnswer: 58093","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3375 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, q: 5, x: 4}. What is prob of sequence xq?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -21*l - 16. What are the prime factors of q(-10)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, l: 8, x: 2}. Give prob of picking 2 g.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, k: 5, e: 4, p: 10}. What is prob of sequence pek?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 47980944 a multiple of 414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**4 + 1270*b**3 + 55276*b**2 + 105456*b = 0?\nAnswer: -39, -2, 0, 676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7689689 by 623.\nAnswer: 12343","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 12 = 2*i + 16, -s + 14 = -4*i. Solve 0*m + m + 5*n = 19, s = -2*m + n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 0*t + 5*a - 209, -4*t = -5*a - 232. Let n be (-18)\/t - (-23)\/7. Sort n, -5, -3 in ascending order.\nAnswer: -5, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490555830 is divided by 3162.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 36*w + 5. Let c(b) = b + 1. Let k(t) = -6*t + 5. Let s be k(1). Let h(v) = s*l(v) - 5*c(v). Differentiate h(j) wrt j.\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1062 = 5*t + 2*f, f + 3*f = 2*t + 444. Round t to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**5*m*m**(-1\/4)*(m**(-1\/2))**(-22\/7)*(m**(-1\/3)\/m)**(3\/19)*m*m\/(m*m**5)*m*m*m*m*m*m*m\/m**(-2\/9) assuming m is positive.\nAnswer: m**(49475\/4788)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 42466.776 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -125 - -47. Let o = v + 110. Suppose 784 = 5*z + 2*a, -z + 155 = -14347*a + 14348*a. What is the remainder when z is divided by o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -3, -2, -50, -243, -4 in ascending order.\nAnswer: -243, -50, -5, -4, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n + 1. Let m(r) = -594*r**2 + r. What is m(t(a))?\nAnswer: -14850*a**2 + 5935*a - 593","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = w + 4. Calculate the lowest common multiple of 9 and 2\/(-3 + 2) - w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -7*q - 1. Let m(x) = 10*x - 8. Let s(u) = 12*u - 10. Let a(v) = -5*m(v) + 4*s(v). Determine a(l(w)).\nAnswer: 14*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 775661025 to the power of 1\/3, to the nearest integer?\nAnswer: 919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of 0*w + 5*w**2 - 1\/15*w**5 + 0*w**4 + 0 + 0*w**3. Let b(z) = z**2. Give b(f(u)).\nAnswer: 16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -14*l - 18. Let r(f) = -6*f**2 - 20*f + 21. Let o be r(1). What is the remainder when 725 is divided by x(o)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(308\/(-40)))\/((-12)\/336)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -11. Let n(y) = -y - 1. Let g(b) = 6*n(b) + 2*u(b). Let w be g(-5). What is the first derivative of 9*o - 12*o - 13*o + 25 + w wrt o?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*w + 7 = 2*h, -5*h = -w - 4. Does 13 divide (12 - -78) + w*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.4, -5, -0.1, 3, 56397?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -881.62 + 873.6166. Let y = 8.03 + -0.03. Let a = y + k. Round a to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 - 6*h. Let r(o) = -o**3 + 10*o**2 + 5. Let u be r(10). Let w(a) = 2*a**2 - 5*a. Give u*q(x) - 6*w(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92.95 - 1.95. Let k = 91.1 - d. Sort -1\/3, k, 4, 2\/7.\nAnswer: -1\/3, k, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -5*w + 7, 0 = -n - 2*w - 0 + 3. Let u(z) = n + 4*z - 3 + 2*z + 3*z**2 + 5. What is the remainder when u(-5) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.8 (b) -2 (c) -0.4 (d) 5 (e) 1784\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) - (sqrt(475) + 3))*5)**2.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, 0.18446, -1, 0.11, -0.5?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*b - 42*b + 53*b - 1513 = 0 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.118 + -0.23. Let k = o - -0.1177. What is k rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -23257, -23227, -23183, -23131, -23077?\n\"Answer: -v**3 + 13*v**2 - 2*v - 23267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44 - 9*v**2 + v - 3*v**2 - 3*v**2 - v**2 + 17*v**2 to n*v + c*v**2 + m and give m.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 16*o. Is y(2) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 127 + -27. Let m be (-101)\/(-2) + x\/40. Suppose -m*o = -55*o + 8. Solve -o*p + 6 = -n - 0, -3*n = 3*p - 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1884671 and 731?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**8*q)\/((q*q\/q**(-2\/5))\/q*q*q)*(q*((q\/(q**(2\/9)\/q*q))\/q)\/q)\/((q**(-3)\/q*q)\/q) assuming q is positive.\nAnswer: q**(467\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.76005 to two decimal places.\nAnswer: 6.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*c + 5668 = 5839 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 33 - 11 - 11)*(32*k**4 + 2*k**3 - 2*k**3).\nAnswer: 1024*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(((1989\/(-78))\/(-51))\/((-2)\/(-4)))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -178, -320, -496, -706, -950, -1228?\nAnswer: -1540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 91583*z - 157592 wrt z?\nAnswer: 91583","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190197?\nAnswer: 3, 7, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -r**7\/490 - r**6\/140 - r**5\/140 - r**2\/2 - 5. Let c(x) be the second derivative of v(x). Suppose c(l) = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 213\/23 - 685\/69. What is the closest to i in 1, -1\/6, 2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 5 = -19. Sort -4, -1, i, 1 in decreasing order.\nAnswer: i, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**3 + 332*z + z**3 + 5*z**3 - 332*z.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 2011440524?\nAnswer: 2011440523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**2 - 3*z - 6. Let u = -18 - -9. Let k = 64498 - 64494. Let q(c) = 7*c**2 - 7*c - 13. Give k*q(b) + u*o(b).\nAnswer: b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-5 - -38) + 2 + (-142 - -139)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/26 - 290576128\/(-416). Round o to the nearest 10000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2452 + 2434 = -9*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -652 and -10.568.\nAnswer: 6890.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*-2*4 + sqrt(152))*3)\/(-1*sqrt(800)*-6).\nAnswer: -7*sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -434*u = -43*u + 1564. Put 2, -17, u, -3, -5 in decreasing order.\nAnswer: 2, -3, u, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6586, 12949, 19010, 24619, 29626, 33881, 37234, 39535?\nAnswer: 40634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1661 * 1\nAnswer: 0.1661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1922?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-1))\/r)**1\/(r**(-1\/4)*r)**(1\/39))\/((r**5*r)\/(r**1*r)*(r**(-1)*r)\/r**(2\/3)) assuming r is positive.\nAnswer: r**(-679\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven quarters of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -14*y + 15*y. Which is the biggest value? (a) y (b) 5 (c) -2\/11 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06 + 5.06. Let w = 77167962.00000024 + -77167967. Let n = w + t. Round n to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/3286128 and 22\/19847.\nAnswer: 292465392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0147 or 12?\nAnswer: 0.0147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 + 28.3. Which is the nearest to 3? (a) 5 (b) 1.1 (c) u (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5749\/5 + -1160. Calculate the common denominator of g and -8\/93.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 497\/3621*2\/(-7)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 1. Let j be y(0). Let i(n) be the third derivative of -13*n**5\/60 - n**4\/12 + n**3\/6 + 2*n**2 - 18*n. Determine i(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**4 + 12 + 8*f**4 - 8*f**4 - f wrt f.\nAnswer: 8*f**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*d**2 + 8*d**2 - 6*d**2)*(27 + 20*d - 112*d + 59*d) to h*d**2 + u*d + t*d**3 + g and give h.\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + 0.1. Let j(v) be the third derivative of v**4\/12 - 5*v**3\/6 - 21*v**2. Let w be j(2). What is the nearest to w in 5, k, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - 16. Suppose -b = c - f, 0*c + c = -4. Let u = -3 + b. Calculate the least common multiple of 3 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -447 - -446.9999811. What is x rounded to six decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 81*a = 89*a + 28, 0 = 4*i + 5*a + 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-4)\/(-16))\/(((-135)\/1242)\/(-5)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**6\/6 + 2*r**5 - 15*r**4\/2 + 40*r**3\/3 - 25*r**2\/2 + 490*r. Determine z, given that m(z) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 384 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-108)\/320 + 2\/5. Let w(y) = y**3 + 2*y**2 - y - 9. Let l be w(2). Which is the third smallest value? (a) f (b) l (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**3 - 9*s**2 - 3*s. Let l(q) = 9*q**3 - 26*q**2 - 8*q. Let i(g) = 6*l(g) - 17*u(g). Calculate i(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*u**3 + 2*u - u**3 + 3*u**2 - 2*u**2)*(3 + 0 - 2) as l + q*u**2 + s*u + r*u**3 and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4432 is divided by 2200.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 527 - 261 - 4*x**3 + 343*x - 266 - 343*x.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 156581 + 5a?\nAnswer: 156630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-99 - 2)\/((-3)\/(-1)). Let p(z) = 2*z**2 + 8*z - 8. Let b be p(-7). Let d = r + b. What is the nearest to -1 in d, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wftvw. What is prob of sequence vwfw?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 4, -w - 5 + 4 = 2*c. Let f = 2 - w. Solve -f*a + 7*a = 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*g - 58*g - 33 = 5*z, -5*z + 9*z + 4 = 4*g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3762*a + 3762*a + 8*a**2 - 21*a**2 - 11*a**2.\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 3521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 11*q + 6. Determine k(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 819.2 to the nearest ten.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + v + 48. Give f(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12042043230 (base 5) to base 15.\nAnswer: 136d9b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 134*d - 137*d. Put d, -2, -5, 3 in descending order.\nAnswer: d, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**9\/3024 - t**5\/60 + 5*t**3\/3 - 3. Let o(p) be the third derivative of w(p). What is the second derivative of o(i) wrt i?\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -2\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 16*i + 3. Let s be k(-15). Let u be (-249)\/s - 3\/(-12). What is the second derivative of u*b**3 - 21*b**3 + 4*b**5 - 3*b wrt b?\nAnswer: 80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -1 + 0*z + 0*z**2 + 1\/5*z**5 + 2\/3*z**3 + 0*z**4. Find the third derivative of i(y) wrt y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/b**(2\/15)*b**5 assuming b is positive.\nAnswer: b**(103\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 t when two letters picked without replacement from ctcctuctcccccccuuc.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2791544 divided by -99698\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 365502900 and 224.\nAnswer: 2924023200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 200\/3553 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3 = 24. Let x be 3\/t + 8\/3. Let y = 36 - x. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -169 - -363. Calculate the remainder when x is divided by 52.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/3 and 109\/91627740.\nAnswer: 91627740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 820 and 60.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/((-1*2)\/(-2)). Suppose -2*r + 5*m = r, -4*r = 3*m - 29. Which is greater: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 - 3*b**2 + 2*b**2 - 8*b**3.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 33*m**4 - m**3 + m**2 + 33*m. Let w(z) = z**3 - z**2 + z. Let f = 128 - 129. Let l(r) = f*w(r) - k(r). What is the second derivative of l(t) wrt t?\nAnswer: -396*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2210861 at most 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 14 (b) 2\/131 (c) -4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 104.3 rounded to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/4 - 15725*r**3\/2 - 247244173*r**2\/4 + 123645675*r - 61826769.\nAnswer: -(r - 1)**2*(r + 15726)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 106, 0.4, 2, 0.7?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1204 and 301179052?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**3 + 3*w**3 - 2*w**3)*(17*w - 19*w + 2*w**2 + 12*w - 3).\nAnswer: 10*w**5 + 50*w**4 - 15*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 16. Let y be x(-16). Suppose -n = -y*n - 9. Solve -2*g + n = -5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.18 >= -5366\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 981.34 times 0.4\nAnswer: 392.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 41492191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13, 565, 3, 0.4, 12\/5, -1?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -17) + 7 + (-4 - 2 - 4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -50102 (base 6) to base 15\nAnswer: -1de8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 990569 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - 3*w + 2921117 - 2920880 + 5*w)*(2 - 2 + 3*w).\nAnswer: 21*w**2 + 711*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -14*w**2 - 2. Let m(l) = 18*l**2. Calculate v(m(g)).\nAnswer: -4536*g**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 4072 = -1142. Let n = 856 + p. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - m**2 + 0)*(-m**3 - 4*m**3 + 4*m**3 + (3*m**2 + 2*m**2 - 3*m**2)*(m - 3*m + 4*m) + 2*m**3 - 12*m**3 + 6*m**3).\nAnswer: m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2\/17)*w**8*w)\/(w**(-10)\/(w\/w**(4\/7))) assuming w is positive.\nAnswer: w**(2445\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/84*675\/540*6\/(-15).\nAnswer: -5\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 2*h - 4. Let p be t(-3). Let x be 2\/5 + (-1152)\/(-720). Let b be -747 + (1 + p - (-8)\/x). What is b rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 22, -487 in increasing order.\nAnswer: -487, 8, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**3 + 3*x**3 - 3*x**3 - 1 + x**3 - 8*x as c*x**3 + h + u*x + g*x**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3938.742 millimeters in kilometers?\nAnswer: 0.003938742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (27\/(-54))\/((-4)\/8). Which is the nearest to -0.182? (a) y (b) 1\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -148 + 85. Let r be (-112)\/(-10) - (m\/(-15) - 4). Sort -2, r, 3 in increasing order.\nAnswer: -2, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12 + 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93764, -93540, -93316, -93092, -92868?\nAnswer: -92644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x\/x**(3\/26))*x*x\/(x\/((x*x**(-8\/7)*x)\/x)) assuming x is positive.\nAnswer: x**(-5\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.4 - -1. Let s = 1.4 + u. What is the nearest to 2 in -2, s, -1\/8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -146 - 2?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*o = 56*o - i + 9, i + 23 = 4*o. Let r(q) = 4*q + q - q**2 - 2*q. What is r(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a - 18. Let s be y(6). Factor -2\/11*i**2 + s*i + 2\/11*i**4 + 0 + 0*i**3.\nAnswer: 2*i**2*(i - 1)*(i + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -100 - -108. Solve -j*k = -7*k - 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t**2 + 4*t - 1. Give y(-3).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 885580 is divided by 24589?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24981*y**3 - 12438*y**3 - 12499*y**3.\nAnswer: 44*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aclaaaaaacalaaa. Give prob of picking 1 c and 2 l.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c**2 + 2*c + 589*c**3 + 9*c**2 - 242*c**3 + 2 - 2*c**2 - 329*c**3 to the form g*c**3 + a*c + x + l*c**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 9271*c. Let u(k) = 3*k**2. Determine u(h(n)).\nAnswer: 257854323*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39)*-2*-1 - sqrt(5616)*2)\/(2*sqrt(75)*3 + sqrt(75)) + 1)**2*-6.\nAnswer: -45102\/1225 + 264*sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 665 - 331. Suppose -5*j = -f + 179. What is the remainder when 121 is divided by j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8947 - -0.4118. Let r = 2.0601 - o. What is r rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, 10, -0.08, 4, -4\/7, 2278?\nAnswer: 2278","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330 divided by 66.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 753\/5, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -j + 2, 0 = -8*j + 3*j + 5*r + 10. Factor -3*c - 2*c + 24*c**2 + j*c - 27*c**2.\nAnswer: -3*c*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 8 = -k - 6, -4*r = 3*k - 14 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 1\/4*n**4 + n + 6\/7*n**2 + 5\/14*n**7 - 33\/28*n**5 + 0 + 10\/7*n**3 - 11\/70*n**6. Determine p so that a(p) = 0.\nAnswer: -1, -2\/5, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4107.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -4. Let c(l) = -l**2 - 24*l - 78. Let g be c(-20). Which is bigger: g or w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254010 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2005740501 from 21.\nAnswer: 2005740522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 0 - p + 6*p - 3 + p + 0*p + 6*p**2. What is w(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31758 by -20.\nAnswer: 15879\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1881751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/7824 and -59\/77568603.\nAnswer: 1241097648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21138335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/2, 0.149, 2, 0.6?\nAnswer: 0.149","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 6*f**2 + 6*f - 3. Let p be d(-7). Suppose -1 = 3*o + 2, 0 = -4*n + o + 13. Sort p, n, 1.\nAnswer: 1, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10239949523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**8\/2240 - u**7\/84 + 3*u**6\/80 + 35*u**4\/4 + u**2 - 38. Let s(y) be the second derivative of x(y). Factor s(j).\nAnswer: 3*j*(j - 9)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14613043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210223110213101 + -10?\nAnswer: 210223110213031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*s + 20 - 43 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**6\/300 + 4*d**5\/75 + d**4\/12 - 14*d**3\/15 + 26*d**2 + 1. Determine z so that s(z) = 0.\nAnswer: -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 + 28. Suppose 704 = -i*z + 10*z. Suppose 4*d - z = 4. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q + q - 1 + 4*q. Let p be x(1). Suppose 2*w = 2*o, -2*o - p*w + 12 = -o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -0.249, 0.11, -35 in increasing order.\nAnswer: -35, -9, -0.249, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 3, 2, -3 in descending order.\nAnswer: 33, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.3, -135249, -1, -3 in increasing order.\nAnswer: -135249, -3, -1, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**4\/8 - 43*c**2. Let o(j) = 33*j**2. What is o(s(q))?\nAnswer: 297*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27731689 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27968.26 and 185?\nAnswer: 5174128.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 17.6. What is the nearest to y in -1\/7, 4, 1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 539357\/120765 + 4\/8051. Calculate the common denominator of c and 2\/(-20)*(-3 - 0).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114 divided by -114.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*t - 38407 = 38223. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 40*n**2 + 1801*n + 40. What is w(-45)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*f + 3, 0 = 5*d + 3*f - 162. Is 11 a factor of (-16)\/12*d\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56\/109 not equal to 4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.25, -5\/3, -93, 0.5?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28659?\nAnswer: 3, 41, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/(-3))\/(((-1890)\/(-690))\/(-63)))\/(2\/(-6)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20511 is divided by 849.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/(16\/6)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 452 and 1017.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -40*u - 20. Let o(i) = 10*i + 5. Give 2*g(n) + 9*o(n).\nAnswer: 10*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -364*s**3\/3 - s**2 - 16*s + 372. Find the second derivative of o(m) wrt m.\nAnswer: -728","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290.67 times 0.5?\nAnswer: 145.335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 25 = 7*u. Let x be (6\/4)\/(6\/20). Suppose 39 = 4*l - x. Calculate the least common multiple of l and u.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = t + 2. Let n be 1\/t + -1 + -2. Let r(p) be the third derivative of p**4\/12 + p**3\/2 - 6*p**2. Determine r(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -0*b + 17. Let x be (-2*(-1)\/4)\/(b\/(-47090)). Let v = 2020 + x. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142448 is divided by 8846.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2076 divided by 519.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2089*g**2 - 3*g + 238. Let s(h) = -1045*h**2 - 2*h + 136. Give 7*s(l) - 4*t(l).\nAnswer: 1041*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -302.868 and -2?\nAnswer: 605.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -11. Let f = -7 + d. Let p = 4 + f. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwllwcculuujlu. Give prob of picking 2 u and 1 c.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -702*w. Let f(s) = 70806*s**2. Calculate f(a(j)).\nAnswer: 34893480024*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 253 + -254. Which is the nearest to j? (a) 20 (b) 0.1 (c) 4 (d) -2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -101116 - -101685.49. Let l = 567 - p. Let i = -0.81 + l. What is i rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19122 divided by -6\nAnswer: 3187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0429673 and 82.\nAnswer: 82.0429673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*s = 3*h - 40, -5*h = 2*s - 74. Suppose 4*y = h*y - 90. Let x be (21\/y)\/((-3)\/(-18)). Calculate the greatest common factor of x and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5922621)\/846090 - -7)\/((-1 - -4)\/12). Which is bigger: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**3 - 2*a + 1. Let u be m(1). Suppose u*w = r - 237, 0 = w + 2*w. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(57) - sqrt(1425)) - sqrt(57))\/(sqrt(363)*-1))**2 + ((4 + sqrt(19) - sqrt(19))**2*-1 - (0 + sqrt(2736))**2) + 2.\nAnswer: -325891\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -28*v**3 + v**2. What are the prime factors of g(-1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30523 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 square root of 343 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 44*i - 117. Calculate x(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6384 and -0.4?\nAnswer: 2553.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*(-6*-6*sqrt(1872)*3*3*4)**2.\nAnswer: -6288482299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 5*z**2 - 5*z + 11. Let o be k(-6). Suppose -4*b - 2*b = -6. Sort -3, o, b in descending order.\nAnswer: o, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*u**3 - 115 - 17*u**5 + 5*u - 2*u**4 - 115 + 340 - 110 - 776*u**2 wrt u?\nAnswer: -1020*u**2 - 48*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 9*w**3 - 23*w**2 - 114. Give p(6).\nAnswer: 1002","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + 3*n - 3*n + (1 - 1 - 3)*(-47*n + 79*n + 67*n) - 4 + 4 - n + 1 + 2*n - 1 + (-3*n + 2*n + 2*n)*(-4 + 2 + 4) + 4 - 4 + 2*n.\nAnswer: -294*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 0*m**3 + 4*m**2 + 0*m - 1\/6*m**4 + 0. Let w(z) = 3*z**2 - 5 + 5. What is j(w(s))?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 9*n**2 - 1411*n + 45143. What is s(112)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -11 times 141435.5\nAnswer: -1555790.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**2 + 727*l**3 - 722*l**3 + 4*l**2.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 47*j**4 + 4*j - 3. Let y(z) = -2*z. Determine g(y(r)).\nAnswer: 2256*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-15)\/12 - -1)*-76. Let l(c) = 4*c + 13. What is the units digit of l(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 5*y = 0, 0 = -5*u + 349*y - 176*y - 171*y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 531 (base 9) to base 11.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, z: 1, y: 4, r: 1}. Give prob of picking 3 a.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62*k**4 - k + 3*k**2 + 0*k - 306 - 31*k**4 - k**2 - 34*k**4 to h + l*k**2 + s*k**3 + x*k**4 + y*k and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(68)*-1 - (sqrt(2448) - 5*sqrt(2448)*1)**2.\nAnswer: -39168 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 157*o - 14*o + 86*o to the form i*o + b and give i.\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 149675475 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210)*-3)\/sqrt(7) - sqrt(60)\/(sqrt(2)*-1))\/(4*((sqrt(36)\/sqrt(2) - sqrt(18)) + sqrt(18))\/sqrt(3)*-6).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pdiipxpipiw. What is prob of picking 1 i, 1 x, and 1 w?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11 (b) 2\/13 (c) 318 (d) 5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 (base 5) in base 3?\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 7, 24\/7, 0, -1\/3, 0.04 in ascending order.\nAnswer: -1\/3, -0.01, 0, 0.04, 24\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -919*m**2 - 843*m?\nAnswer: -1838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 672, 1337, 1988, 2625, 3248, 3857, 4452?\nAnswer: 5033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5777660 greater than 5777661?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/3)\/((-7)\/(-21))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*c + 29, -5*d + 2*d + 9 = 0. Suppose j = u - 37, 4 = c*j - 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.016 + -0.456. Let f = 0.3 - m. Let h = f + -1.21. What is h rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(35) - sqrt(35))*1)\/(2*sqrt(20)\/sqrt(4)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05271387 + -0.0907118. Let k = -0.1 - -0.138. Let b = f + k. Round b to 7 decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) -2\/7 (c) 3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 60?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64127, -128264, -192401, -256538, -320675, -384812?\nAnswer: -448949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-2.3665.\nAnswer: -0.4733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 442 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -h**4\/2 + 95*h**3 + 2*h**2 + 4853*h - 6276. Differentiate f(k) wrt k.\nAnswer: -6*k**2 + 570*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -9*l - 3. Let s(d) = -5*d - 1. Calculate -5*s(y) + 2*z(y).\nAnswer: 7*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 12:25 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, -4, 2\/5, 80457, 118?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 5. Let m = t + 1.8. Suppose -5*u = 4*o - 24, 0*u - 3*u + 14 = 2*o. What is the closest to 0.1 in m, u, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhbbbbbhbhbhbb. Give prob of picking 2 b.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22941 or -22988?\nAnswer: -22988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -36, -49, -62, -75, -88?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318536?\nAnswer: 2, 29, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-23.4281\nAnswer: -7.02843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 25 - 2 + 523*x - 506*x to j + v*x and give j.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*z + 30*z = 12*c - 51, 3*z + 58 = 103 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 23 (b) 2 (c) -1\/15 (d) 2.6 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 42\/6*(((-300)\/(-15))\/200)\/(6\/660)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -470*q - 254*q - 362*q + 111*q - 358*q as i + a*q and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*a = 24. Suppose 3*b = a*b - 81. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/8 - ((-55)\/5 - -9). Let l(f) be the second derivative of 0*f**3 - b*f**4 + 0 + 3*f + 0*f**2. Let z(q) = -2*q**2. Give z(l(h)).\nAnswer: -18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -111 - -144. Solve -5*o - b = b - 17, -5*o = -2*b - n for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*g**3 - 202209*g**2 - 745029 wrt g.\nAnswer: 12*g**2 - 404418*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1.843 - -843437867\nAnswer: 843437865.157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29 * -2.06.\nAnswer: -59.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/1*(-3 - 0)\/(-3). Suppose o*l = 49*l - 736. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488088 is divided by 487626.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51 and 2235.\nAnswer: 37995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2443275.71 to the nearest ten thousand.\nAnswer: 2440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 744 + 4016. Suppose p*a = 596*a - 7. What is the third smallest value in -2\/19, -0.2, 3, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 11*x - 15. Let u(j) = 2*j - 3. Let r(b) = -b**2 + 15*b - 38. Let s be r(12). Determine s*l(g) + 11*u(g).\nAnswer: -2*g**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 78?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14\/11 - 53\/33. What is the nearest to -0.1 in -2\/5, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 773605 is divided by 9320?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, 5257, 14.\nAnswer: 14, 62, 5257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 44\/6336*168 - 27634\/(-12). Calculate the greatest common divisor of 108 and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26.713 and -2.\nAnswer: 53.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/3))**(2\/3) assuming w is positive.\nAnswer: w**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 1:28 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2673) + (sqrt(2673) - (sqrt(2673) + (3*sqrt(2673) - sqrt(2673)) + sqrt(2673)) - sqrt(2673)))\/(sqrt(75)*3 + sqrt(75)).\nAnswer: -27*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 68395866 a multiple of 294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a minute in seconds?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 0*o**2 - 4 + 0*o + 0*o**4 + 1\/2*o**6 - 2\/3*o**3 + 0*o**5. What is the third derivative of b(r) wrt r?\nAnswer: 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.551 - -0.049. Let c = y - 8.6205. Round c to 3 decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/77014 and -63\/44008?\nAnswer: 308056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/2455 + 483\/9820. Let t(d) be the first derivative of -1\/16*d**2 - 1\/12*d**3 + 1\/48*d**6 + c*d**5 + 0*d**4 + 0*d + 3. Factor t(r).\nAnswer: r*(r - 1)*(r + 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 51 + (-3)\/6*4. Let h be (-19)\/(-7) - (-14)\/x. Suppose 5*f + 2 + h = 0. What is the smallest value in f, 1, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 109969 and 4337543?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - q + 3*q)*(4 + 1 - 3).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16783, 46750, 89897, 146224, 215731?\nAnswer: 298418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48647091*2.\nAnswer: 97294182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 420 and 252.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - -1) + (-2 - 5\/5). Let i = 10 + -16. Let z be (-2 + g + 0)*i. Calculate the greatest common divisor of z and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 85*g**2*j**4 - 151*g**2*j**2 + g*j**2 + 2*j**3 wrt j.\nAnswer: 2040*g**2*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26754085 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 154208, 4, 1, 2 in increasing order.\nAnswer: 1, 2, 4, 154208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26064 is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 503418107*p*s - 10750*p + s - 56643 wrt s.\nAnswer: 503418107*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -8*j + 76. Let i be w(9). Suppose -10*q = -5*q - 15. Suppose q*y - 9 + 0 = 0. Solve 3*k + i*x + 4 = -y, -x = 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1619554?\nAnswer: 2, 263, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12095, -12038, -11977, -11906, -11819, -11710?\n\"Answer: u**3 - 4*u**2 + 62*u - 12154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 548 - (-7 + 15) - -4. Which is smaller: 543 or p?\nAnswer: 543","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 1224288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -2*k - 26, 30*k = 4*w + 27*k - 39 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (-2 + ((sqrt(5) + sqrt(5) + 0 - sqrt(5)) + sqrt(5))**2)) + (0 + sqrt(80) + sqrt(80))**2.\nAnswer: sqrt(5) + 302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/5 (b) -4\/9 (c) -1\/7 (d) 9\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-488)\/549)\/((-12)\/27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 22 and 0.573.\nAnswer: 22.573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 12 = -2*p, 3*p = 4*r - 8. Let t(x) = -x + 1. Let m be t(r). Solve -2*w = m + 8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*r + 279 = 6*v, 130 = 2*v - 3*r. Suppose -5*w - 9 = -v. Solve 0*z = -2*z - w for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -339, -3, 26 in ascending order.\nAnswer: -339, -3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 200 and 2287900.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22125\/(-236)*(-2)\/(-36) and -61\/231.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130585 is divided by 26113?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2721 - -4a1a?\nAnswer: 22f9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 13 - -7) + -12\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -10*t + 3. Let j be b(2). Let y = 32 + j. What is the remainder when y - 2\/4*4 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 43*p**2 - 4*p + 81. What are the prime factors of j(-12)?\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -33764 - -107?\nAnswer: -33656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u. Let c(p) = 12 + 20*p**2 + 1 + 4. Let v(i) = -7*i**2 - 6. Let s(m) = -6*c(m) - 17*v(m). Give z(s(w)).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 6:35 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 8 + 0 = 0. Let q be 0\/a + 2 + -2. Solve 0 = -5*n - q*n + 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -2\/3745?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3149415017.\nAnswer: 7, 449916431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 16959648 divided by 32?\nAnswer: 529989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -473\/2205 + 23\/105. Sort f, -5, -0.5.\nAnswer: -5, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 128 + -119. Suppose 684 = l*k + 3*k. List the prime factors of k.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ammmamammmmmmm. What is prob of sequence mm?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -4. Let g be (-2)\/d*0\/(-1). Let i = g - -1. Let f(c) = c**2 - 2*c + 1. Calculate f(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/5, 20, 0.0401 in increasing order.\nAnswer: -4, 0.0401, 1\/5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5593879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*k + d = -1435, -4*k - 75*d + 39 = -72*d for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**8\/168 + 11*x**7\/105 - 5*x**6\/12 + 13*x**5\/30 - 12*x**2 + 5*x. Factor n(b).\nAnswer: 2*b**2*(b - 1)**2*(b + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/3*1*(279\/(-108))\/(-31).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79419 = -66*o + 130461. Solve -42 = -3186*y + o*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llullouuuullloullu. What is prob of picking 3 l and 1 u?\nAnswer: 49\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 19*p**4\/4 + 8*p - 437. Let l(x) = x**2 + 2*x**2 - x**2. Calculate v(l(a)).\nAnswer: 228*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-4))\/((-6)\/12). Let w = -18869 - -245295\/13. Which is greater: w or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 33 = -2*j. Sort 0, j, -2 in decreasing order.\nAnswer: j, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**3 + 5*z**3 - 8916*z - 15084*z.\nAnswer: 2*z**3 - 24000*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t**(17\/2)\/t)\/t)**(-2\/59) assuming t is positive.\nAnswer: t**(-15\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -14 (b) 4 (c) 88\/89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y**3 + 6*y**2 + 7*y**3 - 2*y - 50 + 54. What is m(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + o - o)*(5 - 4 - 3)*(-2 + 4 - 1)*(2 - 5 - 7) + 4*o + o - 2*o.\nAnswer: -57*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054\/1581*90\/4?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -3, -7, -2 in descending order.\nAnswer: 0.3, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 1, -4778, 2 in descending order.\nAnswer: 2, 1, -13, -4778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/13, 2\/25, 3, 3\/2, 0, -0.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k + 2. Suppose 44 - 326 = 47*t. Calculate a(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 1 + 2*a - a - 4 + 2. Let i(w) = 2*w**2 - 79*w - 704. Let s be i(47). Let q(t) = -5*t + 4. Give s*q(j) + 2*c(j).\nAnswer: -3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, w: 1, p: 1, e: 2, f: 3, a: 3}. What is prob of sequence fe?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 5*s + 567, -2*t - 306 = -4*t - 2*s. Let o be -2*t\/(-40) + 4\/(-10). Solve -4*f = -o - 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - t - 20 = 0. Let s(f) = -f**3 + 2*f - 1. Let d be s(-2). Suppose 5*l + 29 = d*q, -4*q - 3 = -l - 70. What is the remainder when q is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 22*g - 76. Let z = -1 - -6. Solve 3*d = 7*d - p + 8, -35 = g*d + z*p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*3*(-6)\/(-54). Suppose -2*r - 5*x + 7*x - 68 = u, 0 = -r - x - 42. Which is the third smallest value? (a) 0 (b) r (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 252067082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - h**2 - h. Let v(y) = -3*y**3 + 9*y - 4. Let d(j) = -4*g(j) - v(j). Let t be d(3). Let i be (t\/(-38))\/(3\/6). Is 0 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-20)\/(-8 + 12))\/(-1). Solve -2*t = 3*d + 2*t - 5, -2*t = -d + g for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76590 divided by -15?\nAnswer: 5106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 7*n - 38. Let u be a(6). Suppose 0 = -5*c + 6*g - 7*g + 1354, u*c = 3*g + 1068. Is 45 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 4*z**5\/5 - 4*z**4 - 20*z**3\/3 - 49. Factor f(l).\nAnswer: 4*l**2*(l - 5)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2771 is divided by 1\/12 + (-61746)\/(-2952).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*z**3 - 3*z**2 - 5*z**3 - 37*z - z**2 + 36*z - 320*z**4 + 317*z**4 to p*z**4 + l*z + i + m*z**3 + s*z**2 and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27142, -26966, -26790?\nAnswer: -26614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2946\/11 - -268. Let z be (0 - -1)\/((-1)\/3). Sort z, f, -0.4 in descending order.\nAnswer: f, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/28 and ((-738)\/4)\/(-8 - 52).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/13 (b) 7 (c) 5\/6 (d) -3\/7 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*x - 51*x - 8*x + 0 + 0 - x + (6 + 0 - 4)*(6*x - 2*x - 2*x) - 4*x + x + x + 4*x + x - 3*x - 2*x + x - x.\nAnswer: -36*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (152 - 159) + 1 + 0 + 2 + 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-6)*-3*-6. Suppose -4*z + 2532 = -2*h, -818 = -2*z - d*h + 432. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000614794 rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 167352305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 11*b + 824 = 603 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + 34 - 25 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/14))**40*b**18\/(b\/(b\/(b\/b**(-1\/13)))) assuming b is positive.\nAnswer: b**(1800\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -54, -69, -40, 45, 198, 431?\n\"Answer: 2*g**3 + 10*g**2 - 59*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010 (base 2) in base 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3535 - -3787. Calculate the remainder when q is divided by 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/80 and -5\/112.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 4139408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 4 - 4) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of 1\/132*n**4 + 0*n + 0*n**3 - 6*n**2 + 2\/165*n**6 + 0 - 1\/66*n**5 - 4\/1155*n**7. Let k(c) = 0. What is c?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 202\/4343 - 346\/43 - (1 + 7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -6 - 1 - 5*c**2 + 0*c**2. Suppose 3*g - 20 = 8*g, -4 = 4*s + 5*g. Let x(y) = 1272*y + 3*y**2 + s - 1272*y. Give 6*q(j) + 11*x(j).\nAnswer: 3*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8733.\nAnswer: 3, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 43.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vza when three letters picked without replacement from addvufvzfvad.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2169 + -2167. Let j = -5.4 + 5. What is the fourth biggest value in f, -1\/3, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1531, 4718, 11227, 22720, 40859, 67306, 103723?\n\"Answer: 277*c**3 - c**2 + 1251*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in 3\/2, -1, -0.08, 0.2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3424)\/(-2140)*(-1)\/(-2).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4122730 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 31, -80, -235, -434?\nAnswer: -677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12255 + 12257. Factor -4\/5*k**3 - 12\/5*k**v - 4\/5 - 12\/5*k.\nAnswer: -4*(k + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -210 - -1677\/8. What is the closest to -3\/7 in v, 1\/6, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -3*u - 121, 2*n - 4015 = 3*u. Calculate the remainder when n is divided by 97.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i*i\/i**(-26\/7))\/i)\/i*i*i\/i**(2\/13)*(i\/i**(-25\/6))\/(i\/i**(-5\/6)) assuming i is positive.\nAnswer: i**(2974\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 15*w - 38. Calculate the least common multiple of n(3) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5*q + 4. Let o(y) = 5*y + 3 + 5*y - 6*y. Suppose 13594*n - 13595*n - 3 = 0. What is n*r(h) + 4*o(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 1:50 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {l: 3, d: 3, t: 6, o: 1, b: 1, p: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1738 (base 10) to base 3\nAnswer: 2101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, -3, 5\/2, 5\/3.\nAnswer: -74, -3, 5\/3, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(3 - 5\/1). Solve -6 + 3 = j*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-57)\/(-10))\/(6894\/68940)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 15*b**2 - 16*b - 57. Give d(-14).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -3 + (-17 - 4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -164920 divided by -2356?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 184*w**2. Let d(h) = -510*h. Give d(f(u)).\nAnswer: -93840*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-5)*(272\/(-32) + 11). Suppose 5*n = -3*i - 107, -46 = 4*i - 2*i - 3*n. Let h = i + 115\/4. What is the closest to 2 in 2, z, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*j**2 - 10*j**2 - 9*j**2 + 46*j to o*j + a + v*j**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (143\/195)\/11*18. Put 1.4, 5\/31, i in ascending order.\nAnswer: 5\/31, i, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4213904 - 2762096 = -16*p. Round p to the nearest ten thousand.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnbbnnbnbbnnnb. What is prob of sequence bnn?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**6 - g**4\/6 + 53*g**3\/6 + 21*g. Find the second derivative of f(h) wrt h.\nAnswer: -360*h**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2541119 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 1652, -4 in descending order.\nAnswer: 1652, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 91363337 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 382397.\nAnswer: 127, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 6. Suppose 0 = -4*o + j*o + 4. Factor 8*d + 9*d**4 - 1 + o + 2*d**2 + 20*d**2 + 24*d**3.\nAnswer: (d + 1)**2*(3*d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-4 - 54\/(-12)) - (3 + 1). Put l, -1\/6, 5, 14 in descending order.\nAnswer: 14, 5, -1\/6, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 66, -261, -8, 0 in increasing order.\nAnswer: -261, -8, 0, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04 - 4.04. Which is the third biggest value? (a) 0.3 (b) k (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z - 2. Give g(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 644 and 2121336?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -741 divided by -236?\nAnswer: 741\/236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -13*n - n + n + 216 - 216. Let f(w) be the third derivative of w**4\/12 + 2*w**2. What is y(f(d))?\nAnswer: -26*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13739 + 21835 = 7*o. List the prime factors of o.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*s = -684 - 38 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5667779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -7*z + 2. Suppose -118*c + 106*c = 8820. Let l = c + 746. Let s(o) = -13*o + 5. What is l*g(j) - 6*s(j)?\nAnswer: j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.76198994 rounded to the nearest integer?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ky when two letters picked without replacement from {c: 1, k: 3, z: 1, b: 4, s: 3, y: 6}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1808, 3618, 5428, 7238?\nAnswer: 9048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w**2 - 2*w + 3. What are the prime factors of y(4)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*q**4 - 428*q**3 - 1284*q**2 + 224*q + 2048 = 0. What is q?\nAnswer: -2, 8\/7, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a century in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 18509, 37004, 55509, 74030, 92573?\n\"Answer: r**3 - r**2 + 18491*r + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1053)\/585)\/(1\/10)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -6. Suppose -d = -i*j + 6, 5*d = -j - 0*j + 25. What is the highest common factor of 40 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/19, -2, 16, 2\/9, 0.1, 0.06 in decreasing order.\nAnswer: 16, 2\/9, 0.1, 0.06, -12\/19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(-2*sqrt(128)) - (sqrt(98) + 1 + 1).\nAnswer: -57*sqrt(2)\/8 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -17*s**2 - 12*s - 8. Let n(y) = -8*y**2 - 6*y - 5. What is -13*n(h) + 6*z(h)?\nAnswer: 2*h**2 + 6*h + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 3*l**5\/2 - 108606*l**4 + 1964573502*l**3 + 47196692208*l**2 + 283274019936*l = 0.\nAnswer: -12, 0, 36214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -254766, -503019, -751274, -999531, -1247790, -1496051?\nAnswer: -1744314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 100?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h - 33. Let o be f(-18). Let g(w) = 9*w - 4*w + 5*w + o*w. Let q(l) = -2*l**2. What is g(q(d))?\nAnswer: -26*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30488*l**4 - 4*l**3*n + l**2*n + 926*l*n + 12*l - 2*n wrt l?\nAnswer: 731712*l - 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 - (3 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = q + 4*z, -11*q + 2*z + 10 = -15*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6336553*a**4 - 27280638*a**2?\nAnswer: -152077272*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2287917*0.5.\nAnswer: -1143958.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 - (0 + -6 + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**4\/10 - 13109*y**3\/10 + 629189*y**2 + 630500*y = 0. What is y?\nAnswer: -1, 0, 500, 12610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 4) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -107577?\nAnswer: 107573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14815 + 162971\/11. Suppose -116\/11*a**3 - c*a - 46\/11*a**4 - 6\/11*a**5 + 18\/11 - 100\/11*a**2 = 0. Calculate a.\nAnswer: -3, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -130 + 4 - (34 + (3 - 46))\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/477 (b) 5 (c) 0.5 (d) -4 (e) -1 (f) -6.58\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 37*o - 5. Let h be m(27). What are the prime factors of (-716)\/5*h\/(-106)?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34271.83 millilitres to litres.\nAnswer: 34.27183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**7\/280 - i**6\/60 - i**3\/6 + 6*i**2. Let r(d) be the first derivative of y(d). Let r(q) = 0. Calculate q.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39\/(-104) - ((-545)\/40 + 13\/(-52))\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 5:00 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6*w**2 + 755*w - 32. Determine t(-125).\nAnswer: -657","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 less than 7364?\nAnswer: 7516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1118 + 1220. Is x a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j + 6*j - 28*j)*(1 - 5 + 2).\nAnswer: 34*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, f: 5}. Give prob of picking 4 f.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.8 - -3.49. Let l = d - 0.09. Put l, 3, -0.3 in decreasing order.\nAnswer: 3, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 + 2?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 5322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, t: 1, a: 1, m: 1, f: 2, e: 1}. What is prob of sequence mfe?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288054?\nAnswer: 2, 3, 13, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45647\/1136 + -612\/71. Let z = h + -1711\/112. Is z < 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/25676 and 149\/7860?\nAnswer: 385140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -25. Let u be 3 + -2 - (2 - 77*h). Calculate the greatest common factor of 17 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -4172782?\nAnswer: -4172782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - -12 - (-4 - (0 + -3))) + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 488, 1377, 2736, 4565, 6864, 9633, 12872?\n\"Answer: 235*r**2 + 184*r + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.024967 times 2.5?\nAnswer: 0.0624175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1264)\/(-18) - (-10)\/(-45). Suppose -310 = 3*r + 5*k, 247 = -3*r + 2*k - s. What is r rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 2*q + 4 = 0, -4*q + 4 = h + 21 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(7\/2))**(2\/19)\/(p\/((p\/(p*p**(-11\/5)))\/p)*(p*p\/(p**11*p))\/p))**28 assuming p is positive.\nAnswer: p**(30772\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -980.7 - -976. Let o = -4 + -1. Let t = h - o. Which is the closest to -1? (a) t (b) 2 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2767*m. Let k(a) = -24903*a - 1. Determine -2*k(i) - 19*w(i).\nAnswer: -2767*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180\/36*1*(-1)\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2639 divided by -8.\nAnswer: 2639\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 3*t + 3767991, 10*t - 5*t = 2*c + 1884015. What is c rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -14. Let x(d) = -d**3 - 7*d**2 - 8*d - 11. Let o be x(-6). Suppose 2*s + o + 3 = 0, -5*s = -4*w + 18. What is the least common multiple of w and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*g = 477. Let f(n) = -122*n + 67. Let w be f(-2). Let o = w + g. Calculate the highest common divisor of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u + 191. What are the prime factors of y(-7)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -303*j - 5114. Let z be n(-17). Solve -110 = -15*q + z*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 6 = -w, s - 65 = 3*w. Suppose -2*m - 2*m = s. Let x = m + 20. Solve 15 = -4*d - 3*p, 2 + 3 = -x*d - p for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3105 and 99705?\nAnswer: 897345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y. Let l be (-1 - -4)\/(3\/5). Let h(g) = 2*g - 2*g - g + 1 + l*g. Determine 2*h(f) - 6*t(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - -1.5. Let x = -2.4 + n. Let y = 1 - 1. Which is the third smallest value? (a) 4 (b) x (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2937*y - 20131. Give l(7).\nAnswer: 428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 106 + 17270061*t - 17270062*t.\nAnswer: -t + 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 6*i**2 + 5*i + 9. Suppose 2 + 22 = 3*f. What is the remainder when g(-7) is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -654*l - 12100. What is d(-18)?\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**7*f\/(f*f*f\/(f\/(f*f\/f**(2\/11)*f))*f*f)*((f\/(f\/f**(-2\/9))*f)\/f)\/f**(-1))**(-24) assuming f is positive.\nAnswer: f**(-1552\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 2:07 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.9 - 2. Suppose -2*w + 2 = -3*o - 2, -3 = -o + 5*w. Which is the closest to 0.1? (a) o (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2156 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: Calculate the remainder when 2068 is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -9*m + 8. Suppose -m*h - 3*u - 8 = 0, 7 = -5*u - 13. What is the closest to -0.4 in 2\/9, -3, h?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 3d?\nAnswer: -3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 - 6*h - 8. Let n be z(4). Suppose 0 = l + v + 4, 4*v + 16 = 4*l - n*v. Suppose -3 - 3 = -2*o. Put o, -4, l in decreasing order.\nAnswer: o, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/1*(32\/4)\/4. Let c be -6 - (-43)\/s - (-3)\/(-4). Suppose -3*f + 126 = -c*i + 5*i, -3*f = 6. What is the greatest common factor of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0 (b) 0.07 (c) -61 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/4 (b) 0.1 (c) 3 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/4 + 2\/(-8). Let o = j + 1. Suppose 0 = -m + b - 230, -4*m - 5*b = -o*b + 920. What is m rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 6*q - 6. Let s(z) = z**3 + 5*z + 5. Let o = 1815 - 1821. Determine o*s(d) - 5*r(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**3 + 40*o**3 - 40*o**3 - 44*o**2.\nAnswer: 4*o**3 - 44*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 26187911, 0.1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 111 + 99. Suppose g = q - 3. Which is smaller: 5 or q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i - 13*i - 23*i + 3 - 2 - 3.\nAnswer: -22*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*27\/4*-2. Suppose 2*a = l - 12 - o, 2*a - 8 = 0. Calculate the remainder when l is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -78\/11 in -0.2, -36, 0.3, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8148 - 8139. Solve -4*f + 15 = -d for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-13)\/3*-3 - -1. Suppose 0 = 3*x + x - 112. What is the greatest common divisor of x and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + d - 17 = 0, a + 226*d + 118 = 234*d. Factor 0 - 20*s + 1\/2*s**a.\nAnswer: s*(s - 40)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1140 + 1144. Let w(n) = -n + 6. Calculate w(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 8*c + 14. Let y be g(6). Find the third derivative of 44 - 29*v**y - 44 - 49*v**2 - 27*v**3 wrt v.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 237098442*r - 251401867 wrt r?\nAnswer: 237098442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -764 * 0.5\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**2 + 86*w + 1888 = 0.\nAnswer: -16, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 1265 = 997. List the prime factors of l.\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -866495 divided by -5\nAnswer: 173299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 18*u + 136. Let h be g(-8). Factor -23*p - p**3 + h*p + 11*p**2 - 21*p.\nAnswer: -p*(p - 12)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**5\/60 + 5*w**4\/3 - 50*w**3\/3 + 8*w**2 + 3*w. Let z be g(38). Does -1\/5 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 7 + 35. Let t be (i + -19)\/((-2)\/6). Let u be (2*-1 + (-8)\/t)*-150. Is u equal to 100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 4*s - 120, 46 = 5*x - 3*x - 5*s. Let r = 73 - x. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**2\/11 - 125364*p\/11 + 1964516562\/11 = 0. What is p?\nAnswer: 31341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c + c**2 + 3*c + 0*c**2 - 2*c**2 - 4. Let u be o(7). Let f be (-14)\/(-4) + (-15)\/u. Which is bigger: f or 0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -164*x**2*z**2 + 1021955*x**2 - 34*z**2 + 4093*z + 29 with respect to z.\nAnswer: -328*x**2*z - 68*z + 4093","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 752*g - 3532*g - 514*g - 73532 + 271172 = 0 for g.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 183*g**6\/10 - 445*g**3\/3 + 202*g - 1. What is the second derivative of b(u) wrt u?\nAnswer: 6588*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 358430567 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*n = -2*y - 50, 3*n + 15 = 3*y. Let j be (-435)\/n*(2 - 4). Let m = 89 + j. Solve -5*h - 3 - 1 = -3*g, 10 = m*g + 4*h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1052331625*r**4 + 123*r - 467237 wrt r.\nAnswer: -12627979500*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1012031 (base 5) to base 8\nAnswer: 40204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a**2 - 19*a + 1. Let q be h(-3). Calculate the highest common factor of q and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 6:12 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 7649301.3 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6355*s + 1072342 = 3483*s for s.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yxo when three letters picked without replacement from yyyyoxylyyyxxxo.\nAnswer: 32\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -3*k + 1 + 30, -2*k - 2 = 3*y. Let a(m) = 3*m. Let w(q) = -2*q. Let z(f) = k*a(f) + 6*w(f). Let c(j) = -5*j**2. Determine z(c(o)).\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16853\/20 - -3373\/4. Let r = 21 + -6. Which is the closest to 0? (a) r (b) 2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (10 - ((1 - -5) + (2 - 1)))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/2 of a year?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1748 is divided by 437.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 212.3 - 200. Let i = x + -12. Which is the smallest value? (a) 9 (b) 1\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 946.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 479 - 451. What is the remainder when 923 is divided by i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -505 minus -0.5?\nAnswer: -504.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f + 18 - 35*f - 3*f**2 + 4*f**2 - 18*f - 19 as a + v*f**2 + n*f and give n.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56502.\nAnswer: 2, 3, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 + -18. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1\/5, 6953 in descending order.\nAnswer: 6953, 1\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.2 - -0.2. Let q = 0.056 + -4.056. Which is the nearest to w? (a) 4 (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2246 - 2246. Let q(w) be the second derivative of 0*w**2 - 4*w + 1\/6*w**4 + t + 0*w**3. Let k(o) = -31*o. Calculate k(q(z)).\nAnswer: -62*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u + 15*u - 3*u**2 - 10*u**2 + 5*u**2.\nAnswer: -8*u**2 + 18*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**2\/5 + 20385*c + 27702222\/5 = 0. Calculate c.\nAnswer: -33701, -274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a**3*r**4 - 12*a**3*r - 110*a**3 with respect to r.\nAnswer: -12*a**3*r**3 - 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 7:23 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 20\/30*(-714)\/28\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 6, r - 113 = 5*v + 102. Let u be (r\/3)\/((-3)\/(-18)). Suppose -6*z + u = -2*z. List the prime factors of z.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*n + 595 = 83 - 898 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -126*m - 162*m - 77*m - 5774 - 7*m - 24*m wrt m.\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 + n + 2. Let f be h(-1). Solve -2*s = -7 + f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -41.1. Let u = 23.31 - n. What is u rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268*q = -3600643 - 982157. What are the prime factors of q?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(104)\/sqrt(128) - -2*sqrt(1300)).\nAnswer: -81*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 18 (b) 38 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -123446 * -458\nAnswer: 56538268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 32845 + 7742 = -3*v, -5*l - 5*v + 101430 = 0. What are the prime factors of l?\nAnswer: 3, 6763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1631170982 a multiple of 1213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 103.912046 to one dp.\nAnswer: 103.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3174*f**2*r**3 - 2*f**2 + 8484*f*r**3 + 1678*f*r**2 + 219*f*r - f - 2*r**3 - 2*r - 2 wrt r.\nAnswer: 19044*f**2 + 50904*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 501 = -5*d, -x = 2*x - 5*d - 471. Is 27 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 9*b - 2. Let k be 21\/4 + -5 + 68\/(-16). Let p(n) = -235*n. Let j(r) = 17*r. Let y(s) = k*p(s) - 55*j(s). Give y(i(x)).\nAnswer: 45*x - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5242 = -5*z - 3*d, -8*z - 5*d = -4*z - 4191. Is 38 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*n = -22, -3*y + 4*y + 3*n + 7 = 0. Let u(x) = -6*x + 3*x + y*x - 2 + 0*x. Determine u(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x**2 - 12*x. Calculate k(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3258613 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**2\/2 + 5106*p - 4345206 = 0 for p.\nAnswer: 1702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 983 - ((-147)\/(-490))\/((-2)\/(-4))*-5?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 297 - 297. Suppose 0 = 3*a + 2*n - 11 + 6, x = 3*n + 6. Solve s = -3*s + a*z - 14, 3*z - 9 = 3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j**4 - 14*j**3\/3 + 7*j**2 - 4*j + 14. Suppose q(x) = 0. What is x?\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20.435 - 6.983. Let i = 13.2 - y. What is i rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4 + 1236*q**3 - 1257*q**2 - 7434*q.\nAnswer: 3*q*(q - 3)*(q + 2)*(q + 413)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/132 and 43\/154.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**2 - 1. Let c(j) = -j**2. Suppose 0 = 5*q - 3*p + 2 - 4, -5*p = -5*q. Suppose -3*s + 6*s = 15. Let k = s + -1. What is k*c(b) + q*l(b)?\nAnswer: -b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*o = -o + 21, 2*o + 12 = 3*v. Let f(l) = -194*l - 507. What is the remainder when f(-3) is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9\/311 - 356\/1555. Let d = 1.4 + -1. What is the third smallest value in t, d, -2\/7, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.0121 - 2.03. What is t rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2165 - -2196. What is the least common multiple of 38 and i?\nAnswer: 1178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**2 - 6*d - 2. What is s(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, i: 1, u: 4, y: 1}. What is prob of sequence ic?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-6)*2 - -1. Solve -k*g = t - 9, -5*g + 0*g = 4*t - 25 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*o + 20 - 552. Let t(l) = -7*l + 35 + 3*l - o. Determine t(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 6:19 PM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -510.453 and -21285511.\nAnswer: -21286021.453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + (-80 - -30) + -51?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*w - 2 = 0, h + 31*w - 28*w - 2 = 0. What is the nearest to -7 in h, 1\/4, 1, 4\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 207*m - 10648. Determine a(97).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 140*n + 33. Let r be h(-6). Let t = -1312 - r. Let g = 908 + t. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -69, -1\/2, 6.3, -5\/2 in descending order.\nAnswer: 6.3, -1\/2, -5\/2, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 12*x**2 - 11*x + 30. Let n be (((-39)\/(-4))\/3)\/((-5)\/20). Let j be c(n). Solve 0 = 3*r + j + 11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3023 plus -207281?\nAnswer: -210304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -49 - -1?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -50*p + 7. Let y(q) = -33*q + 5. What is 5*b(s) - 7*y(s)?\nAnswer: -19*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*m - 80, d - 3*m - 85 = -4*d. Suppose 0 = 41*o - 40*o - d. Solve -r - o = 5*c - 2*c, c + 10 = -3*r for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.6886702 + -7.7025. What is o rounded to four dps?\nAnswer: -0.0138","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 4*z = 10, 26*n - 12 = 23*n - 3*z for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -20 + 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 268*b. Let s(a) = -11*a**2 + 0*a**2 + 5*a**2 + 9*a**2. Calculate s(u(h)).\nAnswer: 215472*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 1181*d + 2. Let w be 116\/(-406) + (-107)\/(-7). Is v(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-35)*60\/48.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a century in months?\nAnswer: 10080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/11 and -15\/3772?\nAnswer: 41492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.35 - -1.2. Let v = w + 0.25. Let n(f) = f**2 + 19*f - 46. Let p be n(-20). Which is the third biggest value? (a) v (b) p (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 855 is divided by (-14 + 1330\/56)\/((-3)\/12*-1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 2 (b) 0.4 (c) 3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 196*p*y + 19*p - 7*y - 5 with respect to y.\nAnswer: 196*p - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 10 = -0*h, 3*t - 52 = 4*h. Let y = -9 + t. Calculate the greatest common divisor of 30 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*h**3 - 62*h**3 - 61*h**3 - 66*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 10*p**2 - 2*p - 1. Calculate r(9).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-6*(sqrt(42) - sqrt(168)) + (sqrt(42) - sqrt(210)\/sqrt(45)))\/(sqrt(36)\/(sqrt(6)*-2*5)).\nAnswer: -200*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/4)\/(1\/4). Let c be (3\/2)\/(2\/y). Let h = 6 - c. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50*g**3*o + 147565774*g**3 - 802767*g**2*o + g**2 with respect to o.\nAnswer: 50*g**3 - 802767*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y - 51 = 9*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4024 is divided by 391?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwaw when four letters picked without replacement from {x: 3, l: 1, q: 5, w: 3, a: 5, n: 1}?\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2 = 8. Suppose -w*l + 4*u = -36, 4*u = l - 2*l - 12. What is the units digit of l*(-1)\/(4\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 4164*y + 1444908.\nAnswer: 3*(y - 694)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**6\/120 + a**5\/60 - a**4\/12 + a**3\/3 + 35*a**2\/2 + 33. Let b(n) be the second derivative of c(n). Calculate b(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.13793 and 4798?\nAnswer: 661.78814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 64*x - 265. Let d be u(4). Let i(l) = 6*l + 54. What is i(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-8))\/((-3)\/(-4)). Suppose 3*b - 2 = 2*w, b - 3 = h*w + w. Suppose b = -v + 4412375 - 1212375. What is v rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 113488 and 38704?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqsqsqqqqqs. Give prob of sequence qsq.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 - 2*r**2 + (-3*r + 7*r - 2*r)*(-3*r - r + 6*r) + 24 - 24 - 5*r**2 + (-r + 0*r + 6*r)*(3 - 2 + 0)*(4*r - 5*r + 0*r).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 9*l - 4 + 2.\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 7*m = -20. Suppose -4*p = 3*a + 3, 12 = 2*a + a - p. Suppose -5*i + 2 = -a. Which is greater: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 218 + -203. Calculate the greatest common factor of 60 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -50, -49, -36, -5, 50, 135?\nAnswer: 256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 5*f - 10. Let q be n(-7). Suppose -t = 2*m - q*m - 11, 0 = 3*m + 3*t + 39. Let c be -3 - (m + 4 + -4). Solve -1 = c*r + 24 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/(-192)*(-6)\/(-135)*-6. Let b(z) be the second derivative of 6*z + 1\/3*z**3 + 0*z**2 + 1\/6*z**4 + 0 + v*z**5. Let b(q) = 0. Calculate q.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5983851 - 0.5?\nAnswer: -5983851.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 8\/5, 0.4, 0, -2\/3009, -1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1272871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y**3 + 6*y - 704 + 8*y**2 + 0*y**3 + 816 - 5*y in the form l*y**2 + q*y + v*y**3 + r and give r.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, b: 3}. Give prob of picking 2 b.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 c when two letters picked without replacement from sssc.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3736, -3738, -3740, -3742?\n\"Answer: -2*h - 3734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13392047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32948524.\nAnswer: 2, 7, 29, 40577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 4.527347 weeks?\nAnswer: 2738139465600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 283 - 926 = 0. Suppose -3*j = 79 - t. Does 31 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)*-2 - sqrt(4)) + sqrt(484) + (sqrt(484) - (sqrt(484) - sqrt(484)*-2)) + sqrt(484) + sqrt(4))\/(sqrt(10)\/sqrt(5)*2*-4).\nAnswer: 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.015 + -0.065. Which is the third biggest value? (a) -3 (b) s (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8093a (base 11) to base 3.\nAnswer: -20000020000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 845801*h**3 + 337175?\nAnswer: 2537403*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 84463 to the power of 1\/2, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13039310 rounded to the nearest one hundred thousand?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -5, -2*k - 18*u + 22*u + 20 = 0 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -118.368 rounded to 1 dp?\nAnswer: -118.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4345989?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -746459.819 rounded to the nearest one thousand?\nAnswer: -746000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2001, 1917, 1777, 1581, 1329, 1021, 657?\n\"Answer: -28*p**2 + 2029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -268.\nAnswer: -26.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(2*(1 - 0)). Suppose g*z - 2*z = 5*s + 12, z - 5*s - 4 = 0. Solve 0*c + z = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -1 + 1*41. Suppose -3*g - 3*t + 12 = 0, 2*g - 15 = -34*t + 39*t. Suppose h = g*z - 68. What is the remainder when z is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 573 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9a (base 14) in base 4?\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 277356, 4, 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 7:18 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 0*i**3 + 0*i**2 - 16 + 26\/5*i**5 - i + 0*i**4. Differentiate t(n) with respect to n.\nAnswer: 104*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -11111200012202222?\nAnswer: 11111200012210011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 1. Let k be w(2). Suppose -2*p = 3 - k. Put -2, 3, p in decreasing order.\nAnswer: 3, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.4 + 9.4. What is the nearest to f in 0.2, -1, -1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1175 and 108714713.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 1272*n + 97941. What is h(-77)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.734 + -3.266. Let s = 7 + -2. Let n be (s\/100)\/(4\/30). What is the fourth smallest value in 0, u, n, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4896 is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -4 (b) 91\/5 (c) -17 (d) -10.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 94 and 226.\nAnswer: 10622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 300 and 96275?\nAnswer: 1155300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/8 of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -54, -464, -824, -1122, -1346, -1484, -1524?\n\"Answer: 2*f**3 + 13*f**2 - 463*f + 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*z - 248*z - 18 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26.99818 + -27. What is d rounded to four dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-12)\/x)\/x**6*(x**(-2\/3)*x)**27)**(6\/23) assuming x is positive.\nAnswer: x**(-60\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 163*q + 9463. Let k be l(-58). Let p = 629 - 332. What is the highest common factor of k and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -16*h - 121. Let v be x(-9). List the prime factors of (-1 + 0)\/(((-138)\/1584)\/v).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193199 = 96*o - 53*o. What are the prime factors of o?\nAnswer: 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**4 - 5*q**4 + 3*q**4)*(-2*q + 2*q - 2*q) - 4 + 4 - q**5 + 28*q**2 - 28*q**2 + 9*q**5 + q**2 - q**2 + q**5.\nAnswer: 7*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(2) + ((1 + sqrt(2))**2*-3 - sqrt(2))).\nAnswer: -45 - 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 725728*r**4 - 972218 wrt r.\nAnswer: 2902912*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30024 and 24?\nAnswer: 30024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -146144 (base 7) in base 5?\nAnswer: -1403200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -120*z + 48*z + 680 + 472 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppz when three letters picked without replacement from {d: 2, z: 1, p: 4, j: 9, u: 3}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2298756 and 3.\nAnswer: 2298756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkvokv. Give prob of picking 1 o and 1 k.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 42 = -i, -66 = 4*i - 2*o - 210. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 20616*p + 123644. Calculate u(-6).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ocppzzpczczzab. Give prob of sequence ab.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(16\/(-30))*444\/333.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -171 + (-91 - -227) - 76?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3.289273 micrograms?\nAnswer: 3289.273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*o, 2*x + 3*x - 5*o - 515 = 0. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02481 <= -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*g**3 + 41*g**3 + 36*g**3 + 79*g**3 - 190*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k + 48 = 24*k. Calculate the greatest common factor of k and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*q - 77*q + 14*q**2 + 123*q.\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 2:13 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + i**2 - 1. Let k be b(3). Let d(u) = 2*u**2 + 95*u - 108. Let g be d(-49). Let m = g + k. Solve -2*w - m = 2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 21 (base 5) to base 9\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-315)\/(-5670))\/(2\/(-16)*-2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2301 * -35\nAnswer: -80535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -3*u**4 + 107*u**2 + 64*u**2 + 49*u**5 - 18*u**2 + 108*u - 6*u**4 + 39*u**3 - 52*u**5 = 0.\nAnswer: -3, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*u**3 - 4*u**3 - 10 + 2*u**3 - 16*u**3 in the form f + h*u + l*u**2 + t*u**3 and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v - 10. Let i be h(9). Suppose 2*z - o - 10 = -2*o, 17 = 3*z + o. Calculate the greatest common factor of i and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (-11 - -8)) + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 12.11. Let f = v + -1.89. What is the closest to 1\/2 in -4, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 w when four letters picked without replacement from uhtwwwwhulbu.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -389, -2367, -7513, -17411, -33645?\n\"Answer: -264*o**3 - 130*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 0. Let m be 4 + (14\/6 - 6). Let a = 68.8 - 69. What is the second biggest value in m, j, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*o + 383 = -5*o - 90 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 - 54635885*q. Let d(k) = 4*k. What is d(a(o))?\nAnswer: 8*o**2 - 218543540*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 8 = 2*y. Let v be (-4)\/(-6)*(-30)\/y. Suppose -2*h + 7*h - v = 0. Solve h = -2*f + f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/(3800\/(-32))*-5)\/((28\/(-150))\/(-7)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-15)\/6*2)\/(-1). Suppose -m = -d*m - 20. Is 7 a factor of 5*((-2)\/m + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -617563534772.\nAnswer: -617563534773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44065198972.46949 - 44044870007.47. Let z = -20329085 + b. Let r = -120 - z. What is r rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 3*u**2 - u - 1. Let q be v(-3). Suppose q*a = a - h + 3, 2*a - 3*h = -14. List the prime factors of a\/(-2)*-1*-18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x + 11*x - 169 = -4*v, -80*x + 111 = -3*v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**7*z\/(z**2\/z))\/(z*(z**(-4)\/z)\/z*z**(1\/3)*z) assuming z is positive.\nAnswer: z**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (0 - -1 - -10 - (108 + -49))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7807.691km?\nAnswer: 7807691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 + 10101011101?\nAnswer: 10101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/40 - (-3)\/((-45)\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**6\/360 + x**4\/4 - 3*x**2. Let w(b) be the second derivative of v(b). Let m(f) = 4*f**2. What is w(m(k))?\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 21.43688 weeks?\nAnswer: 150.05816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000037634 rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 39*f**2 + 9*f - 23. Calculate the least common multiple of a(-41) and 1485.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20, 58, 94, 128?\n\"Answer: -z**2 + 41*z - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 s when four letters picked without replacement from sssssdssds.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 135100499?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19757\/17 + -968151\/833. What is the common denominator of -54\/5 and a?\nAnswer: 4165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (6 - (-7 - -8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59 - -68. Factor -19*g**3 + 31*g**3 - i*g**3 + 6*g**2.\nAnswer: 3*g**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*v + 48, -v - 2*s = -0*s + 12. Let l = -2 + v. Suppose -50 = 4*t - 10. Which is bigger: t or l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13960 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 4*a**5 + 424*a**4 + 14344*a**3 + 161808*a**2 + 120852*a - 297432 = 0.\nAnswer: -51, -27, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/58 and -87\/4.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 3138 = -20466. List the prime factors of a.\nAnswer: 2, 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 1\/4760889?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/3)\/((-14)\/(-28))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3904 + 3903.914. Let f = -26\/11 - -145\/66. Put f, l, 3 in ascending order.\nAnswer: f, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 35 - 14 = -f, 3*f = -5*v + 125. Suppose 0 = u - g - 4 - 5, 3*u - 2*g = v. Suppose -u*j + 155 = -237. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/6720 and 13\/3200.\nAnswer: 67200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 22.5.\nAnswer: 112.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 56.79563um?\nAnswer: 0.00000005679563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**3\/4 + 5*y**2\/4 + 33*y\/2 = 0?\nAnswer: -6, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 426978937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -9*s**2 - 38*s - 31. Let l(o) = 3*o**2. What is q(l(n))?\nAnswer: -81*n**4 - 114*n**2 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -156*k**3 - 161 with respect to k.\nAnswer: -468*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfhffzrfftztrrf. What is prob of picking 1 z and 1 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46998 by 6.\nAnswer: 7833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 + 16716094*s**2 + 34928466469056*s - 34928483185152.\nAnswer: 2*(s - 1)*(s + 4179024)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 2*s - 0 - 3, v + 3*s + 6 = 0. Let t(r) = -r**2 + 7*r + 4. Let q be t(7). Put -2, q, v in increasing order.\nAnswer: -2, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 102600\/18*3920*-1. What is p rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 136 + -110. Let q = 52 - g. Which is the nearest to -1\/4? (a) q (b) 0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81374 is divided by 656?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*o**2 + 11026*o - 14447?\nAnswer: 6*o + 11026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25881649 and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 35 and -8612358309008.\nAnswer: -8612358308973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -606.89951 rounded to 1 dp?\nAnswer: -606.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6865 + 6885. Sort 0.2, f, 0.4, 2\/9 in ascending order.\nAnswer: 0.2, 2\/9, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*k\/(k*k**(-8\/13))*k)*k)\/k**(1\/11) assuming k is positive.\nAnswer: k**(-244\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/1)\/((-14)\/188482) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -4\/961 (c) -2\/11 (d) -0.4 (e) -4 (f) 1\/52\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 66074470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6*j**3 - 2*j + 1. Let q(a) = a**3 + 4*a**2 + 15*a + 13. Let n be q(-1). Give h(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4032, -8161, -12384, -16701?\n\"Answer: -47*m**2 - 3988*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 1952428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18.68 + 18.98. Which is the fifth smallest value? (a) -0.4 (b) -93 (c) 3 (d) 1\/4 (e) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/3 >= -2\/247759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 16237183063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -212968217 divided by 2765821\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 times -0.1?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -23053*o + 507160. Calculate j(22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2. Let n(o) = o**3 - 2*o**2 + 8*o - 2. Let u be n(3). Let z(l) = 71*l - 37*l - u*l. Give v(z(g)).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -360, -3, -4, -1.\nAnswer: -360, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 7*a**3 + 2 + 0*a**2 - 2*a + 2*a**3 - 2*a**2. Suppose -68*f + 11*f - 36*f = -186. Let k(p) = 9*p**3 - 3*p**2 - 3*p + 3. Give f*k(i) - 3*d(i).\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -18.09. Let q = -1.91 + i. Which is the biggest value? (a) -4 (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-4))\/(216\/64).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2216*k = 2204*k + 216. Solve 0 = -k*d + 11 + 61 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341*a**2 - 2000*a - 1085 - 415 + 4*a**4 + 16*a**2 - 16*a**3 - 195*a**2 = 0. What is a?\nAnswer: -5, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4978 = 2932*v - 64493 - 89158 + 7937 for v.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 31 + 13 = 0. Let s = 6 - l. Suppose s = 4*t + t - 15. Solve 2*b + 3 = t*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 3*t**2 + 2*t - 3. Let o be n(-4). Suppose 12*y - 16*y = -2*h + 10, h = -o*y + 5. Solve -w + y + 3 = 0, -5*w + 24 = 3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.11588 minutes in nanoseconds?\nAnswer: 3786952800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12219840?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16797.1 - 16797. Sort 29, a, -22 in ascending order.\nAnswer: -22, a, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 225*x**2 - 155*x - 467. What is the tens digit of u(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (1\/(-2))\/(9\/27270*-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5, -4, -19, -40, -67, -100, -139?\n\"Answer: -3*n**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 29*c - 78. Let f be z(26). Are f and -13\/68 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.079 * -0.9\nAnswer: -0.0711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/10*(-15)\/18.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20574 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121 + -2021212122?\nAnswer: -2021211001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 146957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 496\/(-120) - 39\/(-5) - (-31 - -39)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 - 2*i. Let u be s(2). Let f(c) = -c**2 + c + 1. Let l be f(0). Let k = u + l. What is the remainder when 9 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 686\/643, 1.\nAnswer: -5, 1, 686\/643, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5073056725 and -87.\nAnswer: 5073056638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 830969 and 2792?\nAnswer: 6647752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*m**4 - 1\/4 - 1\/2*m**3 + 1\/4*m**5 + 1\/2*m**2 + 1\/4*m.\nAnswer: (m - 1)**3*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-8)*(10 + -2)*-68. Let n = m + -217. What is the remainder when n is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t + 30. Let p be b(25). Solve 170 - 175 = -p*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(66))\/sqrt(6) + -3)*-4)**2.\nAnswer: 96*sqrt(11) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 494\/861 + -2\/861. Factor 16\/21 - 2\/21*p**3 + v*p**2 - 8\/7*p.\nAnswer: -2*(p - 2)**3\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 - 6*n**2 + 4*n**3 + n**2)*(n**2 - 3*n**2 + 3*n**2).\nAnswer: 4*n**5 - 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 2 = 3*a - 3*y, -2 = 2*a - 4*y. Let p be 69\/(-217) - (-2)\/7. Are p and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.80129 minus -0.1?\nAnswer: 13.90129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 3*r - 25, 115*r = 111*r - o + 24 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-4)*27\/(-63)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*g**3 + 165*g**3 - 6*g + 6*g - 326*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362963 is divided by 90.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-4)*(3 - 15). Let r(n) = -n - 10. Let c be r(o). Which is bigger: 3\/23 or c?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 6*r**2 - r. Let g(q) = q**2 - q - 1. Calculate -3*g(f) + v(f).\nAnswer: 3*f**2 + 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -157d6?\nAnswer: 157d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 divided by 241724?\nAnswer: -41\/120862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 359*r - 14. Let u be (-15)\/(-6)*((-16)\/5)\/2. Let d be s(u). List the prime factors of d\/(-8) - (-1 + (-10)\/(-8)).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of 11*h**7\/70 + h**4\/12 - 24*h**2. Find the second derivative of l(b) wrt b.\nAnswer: 396*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/((k**(2\/15)\/k)\/k))*k)\/(k**(1\/11)*k*k))\/(k*k**(-16))**(4\/25))**12 assuming k is positive.\nAnswer: k**(-368\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1. Suppose -5*d + 3*b + 20 = f, -2*b + 4 - 24 = -5*d. Suppose -c = -3*s - 13, -s - d*s = -4*c + 38. Solve -4*x + 5 + c = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26\/2274715 or 1?\nAnswer: 26\/2274715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1152, -6, 1, -1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*((-320)\/15)\/((-1)\/(-3)). Let m = n - 64. Suppose m = -2*u + 139 + 15. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/6 and -91\/8748?\nAnswer: 8748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4844073.\nAnswer: 3, 13, 29, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6.1, 0.5, -1\/5, -5, 5?\nAnswer: -6.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -19259 * 11.78\nAnswer: -226871.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 137074309896 and 29?\nAnswer: 137074309867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1327.\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 y, and 2 t when four letters picked without replacement from tttttyfftyyyftytjy.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**7\/630 + n**6\/60 + n**5\/15 - 13*n**4\/12 - 5*n. Let p(h) be the third derivative of f(h). Let p(z) = 0. Calculate z.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 - -38. Which is the second biggest value? (a) -2\/7 (b) i (c) -1\/7 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85 - (-47 + 80 - -21)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.092, 0.2, -0.4, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 19*c**2 + 42*c - 1. Let y be l(-21). Let j be 22\/(-22) - 1*y\/3. What is the closest to j in 3, 178, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 1612?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 0.657, -37 in decreasing order.\nAnswer: 4, 0.657, -3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 x when two letters picked without replacement from {v: 2, x: 4, k: 1, d: 4, f: 3}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -d**3\/3 + d**2\/2 + 2*d - 1. Let b be m(0). Suppose 20 = b*n - 12. Calculate the smallest common multiple of 10 and n.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {g: 1, n: 1, o: 6, c: 11}.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/(-15))\/((-5)\/(-25)). Let i(f) = -f**3 + f**2 - f - 3. Let m be i(t). Solve m = 2*y - 4*x + 14, 0 = -3*y - 5*x for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3806 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-13)\/(156\/(-15864)) - 11 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v - 1. Let x be (1 + -2)*(-2 - -3). Let q(o) = o - 1. Let c(g) = x*q(g) + 2*f(g). Determine c(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**3 - 580 - 2*r - 15*r**4 - 545 - r**2 + 1072 + r as q*r**3 + m*r + d*r**2 + f*r**4 + z and give f.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 175875 and 747106.\nAnswer: 922981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -624641, -624634, -624627?\nAnswer: -624620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -127*r + 63*r - 1 + 73*r in the form c*r + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a*j**2*q**2 + 27*a*j**2 - 21556*a*q**3 - a + j**2*q**3 - 13*j**2*q**2 + 2*j**2*q wrt q.\nAnswer: -129336*a + 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**5\/4 + 3*h**3\/4 - h**2\/2.\nAnswer: -h**2*(h - 1)**2*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-1680)*-21)\/(17\/1190).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-122*1)\/(-40 + (-34)\/85*-120).\nAnswer: -61\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - 5*x**2 + 2*x**2)*(2*x**3 + x**3 - 6*x**3 + 1).\nAnswer: 9*x**5 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 800404303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 287398, 574918, 862438?\n\"Answer: 287520*m - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-1) - 16\/(-1). Suppose -4*d + 13 + r = 0. What is the lowest common multiple of -1 + 8 - -3*1 and d?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/21 (b) -0.5 (c) -0.14 (d) 5\/7 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*t - 2*t + 9*t)*(6*t - 3*t - 2*t + (-8*t + 6*t + 7*t)*(3 - 1 + 1)).\nAnswer: -96*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(117) + -3)*6 - (sqrt(117) + 1 + sqrt(117) + 1 + sqrt(117)))**2*-3.\nAnswer: -8718 + 2160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3099 by -2797.\nAnswer: -3099\/2797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 5. Suppose 0 = i*n + d - 38, 8*d - 80 = -5*n + 3*d. Let u be (1 - n)\/(1*-1). Solve -w - w = -u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30009 = 6*z - 5*h - 112998, 2*z - 2*h = 27664. Let t = z - 5686. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 263, 1005, 2249, 4001, 6267?\nAnswer: 9053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1317482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -23 - (0 + (-10)\/5). Let f = 20 + m. Let g be (8\/(-120))\/((-4)\/5). Which is bigger: f or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -18.1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.71619 litres in millilitres?\nAnswer: 63716.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 665911?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/46640 and 149\/195888.\nAnswer: 979440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.34 and 366.571?\nAnswer: 366.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 133226168039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35963236.11000199 - 35963243. Let y = j + 6.89. Round y to 7 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 84, 86, 88?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-12)*(1 - -2). Let s(h) = 2*h + 0*h - 5*h**g - h**3 + 4*h**2 + 2. Let a(q) = q**2 + 13*q + 10. Let l be a(-12). Calculate s(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*l + 1356 - 1278 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2306174 or -2306171?\nAnswer: -2306171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 4*t + a = -46, 4*t - 4*a + 40 = 0. Let j = 47 + t. Let v = 0 + j. Calculate the highest common divisor of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 2941?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o + 6365874 - 3182940 - 3182934.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from drrdrhhrrhhr?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*c + 806738 + 1327246 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4018693.535 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 12*b**2 + 7*b - 3. Let h be z(9). Let w = h + 295. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58556, 116139, 173722, 231305, 288888, 346471?\nAnswer: 404054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**4 - 6*t**3 - 4*t**3 - 89 + 87 + t**4 + t to the form h*t**4 + b*t**2 + g + d*t**3 + u*t and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02533094 to three decimal places.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*b**5\/5 + 27282*b**4\/5 - 355464*b**3\/5 + 196992*b**2 = 0. What is b?\nAnswer: -4560, 0, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -n + 17. Let o(z) = z**2 - 12*z + 16. Suppose 55 = 3*u + 2*u. Let r be o(u). Solve 0 = -r*h + n - 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*d - 394*d + 196*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**5\/60 + i**4\/6 - 47867*i**2. Let j(v) be the third derivative of v**5\/10 + v**2. Determine w(j(d)).\nAnswer: 36*d**4 + 24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -74\/7 in 2\/13, -3, -1\/4, 2\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 15*q - 96. Let o be c(8). Calculate the highest common divisor of o and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1036*r*v**4 + 13482*r*v**3 + 2*r*v**2 + 224*r*v - 94*r - 16*v**4 + 2*v**2 + v + 620 wrt v.\nAnswer: 24864*r*v + 80892*r - 384*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 4*q**3\/7 + 192*q**2\/7 - 622228*q\/7 + 2485584\/7 = 0.\nAnswer: -421, 4, 369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.04 (b) -2\/3 (c) -4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (1 + 4 + -4)) + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 4*b**2 - 4*b - 3. Let t be z(5). Let q be 1*(-2 - 45\/(-25)). Let s be (2 + -17)\/(-3) + -2. What is the third biggest value in q, s, t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, o: 7, c: 1}. Give prob of picking 2 o and 1 w.\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 21429995, 42859990, 64289985?\n\"Answer: 21429995*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -64 (base 11) to base 10\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 32. Let r be z(6). Suppose -5*l - 2*a = 897, 3*l - 8*a + 533 = -r*a. Is -179 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 2*q + 0*q + 14 + (-1 + 4 - 1)*(0 + 0 - 2*q) + 2*q + q - 2*q.\nAnswer: -5*q + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 + 80325252*f + 1613036527215876.\nAnswer: (f + 40162626)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/11 in 2, -3\/227, 3\/5, -6, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-12) - (-217)\/4. Suppose -5*g + 0*a + 5*a = y, -g = a + 7. Is -9 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -12*h**2 + 18015*h - 249859. Determine i(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6))**5*h**6\/h**1 assuming h is positive.\nAnswer: h**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2133126832 and 0.008.\nAnswer: -0.2053126832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, h: 3}. What is prob of sequence mmmm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/4 of a millennium?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4032 + 30350?\nAnswer: 34422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6*i**2 + 13*i + 16. Let a be q(-13). Let k = -40 + a. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w - 8*w + 4*o = -10, -2*w = w + 2*o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-7)*-1*7\/42.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 5*y + 3*p + 6 = 0, -p = 2. Suppose -4*l + y*l + 8 = 0. Let s(x) = 2*x**l + 6*x**2 + 0*x**2 - 3*x**2. Let k(w) = -w. Give k(s(q)).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + -2*sqrt(208) + sqrt(208) + 5 - (-5 + sqrt(1053) + 0).\nAnswer: -9*sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from rjriijrrriijiij.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 5:10 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/65211?\nAnswer: 1\/65211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -17. Let j = -196 - -152. Let y = j + 46. Put n, y, -0.5 in descending order.\nAnswer: n, y, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 4:40 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*v = 2*v + 13, 4*v + 16 = 4*u. Let j be 8\/(-5) + (-2)\/5. Let f = 15 - j. Solve -u = 4*r - f for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 9 = 3*u, 4*u - 3 = 4*c + c. Suppose -m = -30 - c. What is the remainder when m is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**4 + 43952*g**3 - 439588*g**2 + 1406752*g - 1406784 = 0.\nAnswer: -43962, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-one halves of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(9) - ((sqrt(90) - (sqrt(90) + (sqrt(90) - (sqrt(90) + -2*sqrt(90) + sqrt(90))))) + sqrt(90))\/sqrt(10))\/(sqrt(21)\/sqrt(112)).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**7\/14 - u**6\/5 - 3*u**5\/5 + u**4\/2 + 3*u**3\/2 - 40*u - 2. Factor l(b).\nAnswer: 3*b*(b - 3)*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2 - 13*j - 5. Let l(v) = -3*v**2 - 19*v - 7. Let x(y) = -7*d(y) + 5*l(y). Determine x(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -960 - 11*a - 1084 + 2093 - 4*a**3 in the form c + p*a**2 + u*a + s*a**3 and give c.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 14 = -w, -47 = 2*v - 1683*w + 1678*w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -25*y**2 - 1651*y + 35. What is the remainder when 413 is divided by a(-66)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 37, 60, 73, 58, -3, -128?\n\"Answer: -3*f**3 + 13*f**2 + 5*f + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17236125, 17236115, 17236105?\nAnswer: 17236095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/88*(-6)\/9.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 132, 159, 186, 213?\n\"Answer: 27*s + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 16 + 0 = 0. Let s be q + (-3 - 6\/8). Let d = 0 + -2. What is the nearest to -3 in d, 5, s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(3 - 105\/36). Suppose -c = -v + 4. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 286431784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -7*t - 5*t. What is the second biggest value in 1\/4, t, 1\/5, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2 + 170*l + 4. Let c be n(-59). What is the highest common factor of 1807 and c?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73 + -22. Suppose -v + 56 = 3*n, 4*n + 93 = 4*v - m. Suppose -a + 18 = 4. What is the remainder when v is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**2\/2 + 23*q\/2 + 12 = 0.\nAnswer: -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0631 + 0.0231. Which is the nearest to 0? (a) y (b) 0.5 (c) -0.4 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143622 divided by -2.\nAnswer: -71811","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 3 - (3 + -3). Let y be (2\/18)\/(6\/36). Which is the closest to t? (a) 0.5 (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*x + 64 = -4*p, 5*x = -p - 205. Let f be (-4 + x\/(-9))*(-27)\/(-1). Let d(o) = -o**2 + 23*o - 20. List the prime factors of d(f).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-6)*(6\/16)\/((-11115)\/(-988))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.056 from 465.1333.\nAnswer: 465.0773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157 = -9*a + 256 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 + -78. Is (-3 + 13\/5)*o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + 48 - -5 - (-16 - -2)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/17? (a) 2\/13 (b) -2 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/5156 - -1612\/1289. Which is the biggest value? (a) -2 (b) 0 (c) y (d) -14 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17690 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {g: 1, z: 3, s: 3, j: 1, u: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 380*f + 6686*f + 1525*f.\nAnswer: 7831*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/3 greater than -21\/34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -r + 154, -4*r + 591 = -6*x + x. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -119384\/14263 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/84 and 67\/5790?\nAnswer: 81060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -392 divided by -4?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4647547 rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 187.9999966 - 188. What is u rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -390 + 382. Let z(w) = w**3 + 12*w**2 + 30*w + 40. Let o be z(y). What is the greatest common divisor of o and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 3*t + 51 - 57, -6*t + q = -t - 3*q - 14 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00023152 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -160*f**3 - 3*f**2 - 2*f - 14291 with respect to f.\nAnswer: -480*f**2 - 6*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -115 + 114.36. Let c = 0.639942 + z. Round c to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.09 - 0.78. Let i = 0.3100094 - a. Round i to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -12. Suppose -421 = -3*t + p, -z*p = -6*p - 4. List the prime factors of t.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 180.98 and 0.2266652473.\nAnswer: 181.2066652473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j - 2. Let x be u(-3). Let v(n) = -n**2. Let a(k) = -k**2. Suppose 3*t - 5 = -20, -4*i + 4*t = -144. Suppose 7*o = -i + 3. Give o*a(w) + x*v(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -93, -90, -87, -84, -81?\n\"Answer: 3*m - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/5)\/s**3*s\/((s**(2\/13)\/s)\/s)*s*s**(-3\/8))**(-48) assuming s is positive.\nAnswer: s**(-2718\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -5*j - 2. Solve 5*f - 31 = 4*y, 3*y - 2*f + 19 - j = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9*-5.5\nAnswer: -49.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1252612 (base 8) in base 12?\nAnswer: -14a376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 24543 (base 6) to base 2\nAnswer: 111001001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -518? (a) 0.5 (b) 7\/4 (c) 2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w + 2*w - 6*w. Let a(p) = -2*p + 1. Let j(v) = -a(v) + 2*y(v). Let h(r) = r. Calculate -3*h(f) + j(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 1 = -l + 7*j, -4*l + 24 = 4*j. Solve l*q - 4 = q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*2*(0 + (-6*3*sqrt(190))\/(3*(sqrt(10) - sqrt(10)*-2)))**2.\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 9. Let a be p(-8). Let k be 0 - (a - -2)\/3. What is the units digit of k*(1 + 1) + 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 48*r**2 - 52*r + 4. Let v be k(3). Calculate the greatest common factor of v and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -27*n**3 + 4*n**2 + 5*n + 3. Is w(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 80*v - 165*v + 150705. Is v less than 1775?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w - 34. Is d(18) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*g**2 - 3\/4*g - 1\/4*g**5 - 1\/2 + g**3 + 0*g**4.\nAnswer: -(g - 2)*(g - 1)*(g + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-2)\/12)*(-13111)\/(-11238).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiipiipiipppi. What is prob of picking 2 p?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b - 8*b + 608 + 2*b + 0*b - 6*b.\nAnswer: -3*b + 608","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r**2 - 8 + 8*r**2 - 25*r - 30*r - 27*r + 64*r + 8*r**2.\nAnswer: 6*r**2 - 18*r - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1095 smaller than -1093?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2126659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 - 447 = -4*l. Suppose -2*o + 13 + l = 0. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1160125, -2320253, -3480381?\n\"Answer: -1160128*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 859 divided by 69?\nAnswer: 859\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x + 22 - 38 - 31 = k, -10*x - k + 48 = 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 471540358 to the power of 1\/3, to the nearest integer?\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.225 + -2.775. What is the nearest to 2\/13 in -0.4, y, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5 + 2)\/((-9)\/894)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43\/630 - -4\/315. Which is the smallest value? (a) r (b) 4 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**4\/9 - 4*u**3\/3 - 22*u**2\/9 + 40*u\/3 + 200\/9 = 0. Calculate u.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6235 - -6266. Calculate the least common multiple of 1116 and x.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -835*s - 466. Suppose 0 = -18*t + 50 + 58. Let p(z) = -278*z - 155. Let f(d) = t*i(d) - 17*p(d). What is the derivative of f(k) wrt k?\nAnswer: -284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 3*w - 29, -45*m - 20 = -4*w - 51*m for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55013 is divided by 3231.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 4*f - 8. Let l be r(6). Let h be (l\/8)\/((-1)\/(-6)). Solve h*v = 2*v - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 - 34. Suppose -f = -4 - w. Suppose s + 2*m - 3 = 0, 5*s - 15 = -5*m - f. Solve 0 = j + 3 - s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -100000000101011011010?\nAnswer: 100000000101011011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 7. Let x(g) = -3*g - 29. Let d(q) = -4*p(q) - x(q). Let n(u) = -5*u**2. Calculate n(d(c)).\nAnswer: -5*c**2 + 10*c - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 49289 = -56567. Suppose -4*d + u = -3*o, 3*d - 2*o = 25117 - 5268. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3315020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -24359219, -24359220, -24359221, -24359222, -24359223?\n\"Answer: -j - 24359218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**3\/3 + 3*x**2 + 8*x + 7296. Let z(t) = -t**2 + 3*t - 4. Let w be z(4). Calculate b(w).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 2*j + 1 + 1, 5*u + 3*j - 3 = 0. Suppose u = 2*t + t. Suppose n + 2*n - 9 = t. Put -9, n, 4 in decreasing order.\nAnswer: 4, n, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**3 - 23*k**2 - 107*k + 573. Calculate z(5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 20010211302 (base 4) to base 2\nAnswer: 1000000100100101110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**3 - 3*f**2 - 4*f + 6. Let x(n) be the first derivative of n**4\/2 - 4*n**3\/3 - 5*n**2\/2 + 7*n + 116. Determine -5*q(d) + 4*x(d).\nAnswer: -2*d**3 - d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -6*y**3 + y**2 + y - 1. Let o be x(1). Let g = 43 - 48. What is the remainder when (-22)\/4*(o + g) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 42*x + 240. Determine m(-47).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -299, -301, -303, -305?\n\"Answer: -2*m - 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 314 divide 4073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -123 + 239 - 102 + 48*d + (-4 + 2*d + 4)*(5 - 3 - 1) in the form j*d + a and give j.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68*a - 228 + 228 to l*a + h and give l.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 14. Suppose -4*g - 23 = -v*g - 5*u, g + 4 = 2*u. Let h(z) = 8*z - 15. Let i be h(2). Solve g*d = -b - 3*d - 5, 2*d - i = -b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 7:45 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 323950 and 64790.\nAnswer: 323950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + z. Let v = 37 - 36. Let x(u) = -u**3 - 8*u**2 - 8*u - 11. Let m(w) = v*x(w) + g(w). Let i be m(-6). Sort -4, -1, i.\nAnswer: i, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**3 + 252*j**2 + 976*j = 0.\nAnswer: -122, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*((-75)\/350)\/((-90)\/12)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3)*y**(-2\/21) assuming y is positive.\nAnswer: y**(-65\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q**2. Suppose 4*v = 3*y + 12, -12 = y + 2*y. Let b(w) be the second derivative of 1\/3*w**3 + 5*w + 0 + v*w**2. Determine b(z(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -3 (c) 0.09 (d) -116 (e) 4 (f) 13\/30 (g) 0.2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/13, 4, -1\/6, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 110.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (-48 + (-2940)\/(-63) - 312\/(-18))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12498?\nAnswer: 2, 3, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from bajalvdvvdblll?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16882?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -19. Let z(x) = -x**2 - 11*x + 3. Let i be z(-11). Suppose 4*w + 3*c = w + 54, -i*w + 62 = -t*c. What are the prime factors of w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63689 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 733 - 2*j**2 + 743 - 1399.\nAnswer: -2*j**2 + 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/3 - 2\/6. Find the common denominator of l - ((-37)\/8 - 2) and -15\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16.8 - -14. Let o = 2.8441 - 0.1641. Let u = b + o. What is u rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*sqrt(17)*1 + sqrt(17) + sqrt(17).\nAnswer: -3 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 6*(-8)\/16 + 1214. What is the highest common divisor of 12 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 25 - (-13 + 29 + 31)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1581.7 + -1843. Let f = 261 + q. Which is bigger: 2\/399 or f?\nAnswer: 2\/399","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + l**2 - 749*l - 5392. Calculate s(30).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o = -2504 - 12496. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*g**2*i*t - g**2*i + 2*g**2*k + 130*g**2 + 2*g*i*k*t + 3*g*i*t - 6794*i*k - 2*i*t with respect to k.\nAnswer: 2*g**2 + 2*g*i*t - 6794*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-126))\/5 - 7883534\/(-3451812)?\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -4. Which is bigger: 3 or u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 7*z - 7. Let x(i) = -2*i - 2. Let f(q) = -2*r(q) + 7*x(q). Let l(c) = c**2. Calculate l(f(h)).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, t: 13}. Give prob of picking 1 m and 1 t.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 15. Let b(d) = -233*d - 140. Calculate -b(j) - 9*u(j).\nAnswer: 224*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 361.95 - 362. What is the nearest to 0.1 in i, 0.3, -2\/5, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 10*i**2 - 13*i + 24. Let m be f(11). Solve -3*l = -m*l + 3*a - 18, -3*a = 4*l - 27 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11)\/3*(-606)\/1111. Solve k = 5*c - 3, -5*c - 3 = -w*k - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 20. Suppose 15 = k*b - 15. Suppose -b*u + 30 = u. Does 5 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -o**6\/120 - o**5\/10 - 5*o**4\/24 - 9*o**3\/2 + 52*o**2. Let c be q(-6). Solve n = c*r + 6, 0 = 4*r - 6*r + 3*n + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + -1 + 2*(sqrt(2205) - (-5 + -1 + sqrt(2205)))) + 1.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*m - 518*m = -279*m - 748 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 - 2*m - 1. Suppose -17*l = -19*l + 4. Let j be h(l). Suppose 6 = w - 3*b, -2*w - 6 = -j*w - b. Solve -u + w = 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2991*j + 277 + 2737*j + 303 wrt j?\nAnswer: -254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**2 - 1 + 1 + (0*o + 2*o - o)*(-2*o - o - o).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/739 greater than -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/(-1) - 4\/((-12)\/9)*5. Let y(t) = 3*t - 11. Let i(l) = -2*l + 10. Let h(f) = 4*i(f) + 5*y(f). What are the prime factors of h(a)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, o: 1, n: 2}. What is prob of picking 1 o and 1 n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqjqjmwmjjjjj. What is prob of sequence qq?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 114 + 48 = -4*t, 2*t = 4*k - 192. Suppose 4*l = -l + k. Calculate the remainder when 27 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwwz when four letters picked without replacement from {w: 1, g: 6, z: 4, e: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6248*o - 12. What is l(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1312 + 2269. Let p = 949.19 - t. What is p rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of a**2 - 1\/12*a**5 - 1\/24*a**4 + 0*a + 0 + 1\/3*a**3 + 1\/120*a**6. Let m be -12*(-8)\/384*52 - (6 + 2). Calculate j(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 360070?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/15)\/((-7)\/14).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 0 + 5 = -5*v, -3*p = -2*v + 13. Suppose -4 = -v*c - 2*g, 2*g = c - 3*g - 8. Solve -c*q = -q - 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + n + 34 + 13, -3*q - n - 27 = 0. Let b = q + 24. List the prime factors of (-1)\/(4\/b)*-2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6041 - 3546. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5 - 2 - 4 - r. Let h be o(-1). Let w = -54959 - -54966. What is the second smallest value in 0.01, w, h?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 36\/17)\/(29 + 2301\/(-78))?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -80 divided by 325829\nAnswer: -80\/325829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -76 and -396.\nAnswer: -472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725079 is divided by 1543?\nAnswer: 1412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a + 25cf55?\nAnswer: 25cf5f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**2 + 13537344*j + 40612059 = 0. What is j?\nAnswer: -3, 4512451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 11*y + 10. Let s = -64 - -54. Let c be l(s). Suppose c = -10*h + 16*h - 12. Solve w + h*w = 2*u - 2, 3*u = -5*w - 16 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (166 + 500 + 94)*(8*b**2 + 9*b**2 - 8 - 16*b**2).\nAnswer: 760*b**2 - 6080","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1077 and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -50. What is the greatest common divisor of 160 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.97575*0.0337.\nAnswer: 0.032882775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -9*f**2 - 6. Let l(j) = -19*j**2 - 13. Let g(u) = -6*l(u) + 13*m(u). Let x(w) = -3*w. Calculate x(g(d)).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 12*z + 22. Let n be r(-9). Let d be -1*(n - (2 + -2)). Suppose -d*s = -c - 371, s - 5*c - 79 = -0*c. What are the prime factors of s?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -134725500*w + 201573819?\nAnswer: -134725500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 140 = t + 3*r, -5*t - 2*r + 152 = 0. Suppose -2*l - 2*l = -t. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13939593 to the nearest integer?\nAnswer: 3734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = h - 58. Suppose -x + 53 + h = 0. List the prime factors of x.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -7) + (5 + -7 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -5 - (-7 + 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5190.518 years?\nAnswer: 519.0518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1780 - 1781. Sort z, 8, -2, 13 in increasing order.\nAnswer: -2, z, 8, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 6. Suppose -k - 2*v = -2, -5*k = -n*v + 3*v + 20. Which is the third smallest value? (a) -0.2 (b) -1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7\/12 - -5\/4. Let 2\/3*b + 7\/3*b**2 - z*b**3 + 0 - 7\/3*b**4 = 0. What is b?\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-2\/3)\/s)*s**22\/s*s**(-1)*s**8)**(-1\/23) assuming s is positive.\nAnswer: s**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*q - 49*q - 24. Let d(u) = 9*u**3 + u**2 + 11*u - 11. Let m be d(1). Solve q = -o + m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 386*c**2 + 370*c**2 - 754*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 1 (c) -5 (d) 4982 (e) -0.4 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = 4 + 16. Let d(f) = -7*f**3 - 5*f**2 - 6*f - 3. Let s be d(u). Is s bigger than 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3\/4)*a**(4\/7)*(a**(-1\/3)*a)\/(a*a**9*a)*((a\/(a*a\/(a*a**(2\/5))))\/a)\/(a**(-2\/13)\/a)*(a**2)**20 assuming a is positive.\nAnswer: a**(164029\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30*(-37351)\/(-581544) - (-1)\/12) + -2.\nAnswer: 2\/197","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1699 is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 + -71. Solve 1 = o*i - 3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.0868 and -0.03892?\nAnswer: 1.12572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 23 = -62. Let j = 22 - y. Suppose k - 235 = -5*q - 4*k, -j*q + 4*k + 253 = 0. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124606 is divided by 6229?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -22.7. Let o = -0.05 - 2.95. Put -1, m, o in decreasing order.\nAnswer: m, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 15*j + 7. Determine m(3).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25.4862 + -189.4048. Let g = n + 215. Let m = g - 0.009. Which is the third smallest value? (a) 1 (b) -4 (c) 2\/7 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 730479452.\nAnswer: 2, 41, 47, 97, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3226112 or 3226090?\nAnswer: 3226090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**4 - 115802*z**3 + 1677593950*z**2 - 38530368526*z + 100495886520 = 0.\nAnswer: 3, 20, 28939","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 + -68. Are -0.3 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fs when two letters picked without replacement from {f: 1, t: 3, s: 1, e: 6, a: 4}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 1\/10 (c) -2\/25 (d) 3 (e) -539\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 8:40 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zkou when four letters picked without replacement from gookgzuukzguz?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((1*sqrt(65)*-1)\/(sqrt(15)\/sqrt(3)*-2) - (-4*(1 + sqrt(117) - sqrt(117))*-2)**2).\nAnswer: -sqrt(13) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 10. Let f(n) = -5*n + 10*n + 3*n**2 - 1 - 2*n. Calculate the remainder when f(l) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 32. Let g(v) = -v**3 + 10*v**2 + 10*v + 16. Let l be g(o). Suppose 447 = 5*s - l*d - 158, -4*s = 4*d - 500. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6497 is divided by 83.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57\/2 - 123\/4. Let h = -2 - u. What is the closest to 0.1 in h, 0.4, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 133.4 - 2.4. Let y = k - 131.2. Let l = -1.1 - -0.1. Sort y, 0.1, l in decreasing order.\nAnswer: 0.1, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**3 - 3*q - 4. Suppose 30 = 3*a - 0*a. Let v(x) = -8*x + 24*x - a*x**3 + 30 - 9. Let z be 1 - 5 - 6\/(12\/(-4)). Determine z*v(d) - 11*i(d).\nAnswer: -2*d**3 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 780*a**2 + 112099*a - 595. Give z(-590).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180102 - 2036 = 49*i. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*x + 1 - 4*x + 4*x**3 - 3*x**3 as u*x**3 + z*x**2 + f*x + r and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22.224 - 22. Let o = 1960 - 1960.115. Let a = o + d. What is a rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1920953 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1040993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2358826368?\nAnswer: 2, 3, 37, 166021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -12 - 15. What is the derivative of -3*y - 13*y - 5*y - g*y - 26 wrt y?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1584 = 10*k + 1366. What is the third smallest value in k, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-4)*(-78)\/65 + 0. Is 2 a factor of (296\/(-24))\/((1 + -2)\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.07 (b) 4\/5 (c) 0.6 (d) 92 (e) 1\/20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*a**5\/8 - 240957*a**4 + 47530767*a**3\/8 + 58986663*a**2\/4 + 22909689*a\/2 + 2890485 = 0 for a.\nAnswer: -1, -2\/3, 27, 71370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3552 - -3566. Suppose q + 2*x - 377 = 0, -q + 1134 = 2*q + 3*x. Find the second derivative of n*h - 379 + 17*h**2 + q wrt h.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -2\/13 (c) 3 (d) -4\/95 (e) -1 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 33861 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284*q = 216*q - 86 + 18. Let c be (4\/42)\/((-2)\/(-6)). What is the second biggest value in c, q, -4, 3\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 835167216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2627 + -18.4927. Let l = 17.8 - -0.2. Let a = l + p. Round a to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/15 + (-4 - (-310)\/75). Find o such that 0*o + f*o**2 - 1\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 3)*1*-39. Suppose o = 2*h - 2*a - 2*a, 0 = -4*h - 4*a + 192. Let w = h - 8. What is the remainder when w is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -926*d + 1 + 546*d**3 - 938*d + 1864*d.\nAnswer: 546*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51429197 is divided by 380.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**5\/60 + 3392*f**2. Let x(c) = -14*c**2 + 2. Give 10*t(v) - x(v).\nAnswer: 4*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i**(-2\/55)*i))\/i**(-31))**(17\/6) assuming i is positive.\nAnswer: i**(14977\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1385088, 2770176, 4155264, 5540352?\nAnswer: 6925440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 107 (base 16) to base 8.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119937.\nAnswer: 3, 39979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-4))\/(6\/174). Let g = q - 15. Which is the closest to g? (a) -3 (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 9:35 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, g: 5, i: 3, p: 3, v: 3, f: 3}. What is prob of sequence flv?\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22555*y*z**3 - 2*y*z**2 + 2777*y - 133021375*z**3 wrt y?\nAnswer: 22555*z**3 - 2*z**2 + 2777","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1442)\/(-12) - (-9)\/(-54). Suppose 2*o + 8 = -4*s + i, 3*o + 112 = 4*s. Is 18851\/s + (-1)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68031618.\nAnswer: 2, 3, 883, 12841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-2)\/(-3)*-3) - -36*(-49)\/392?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 369 = -6*n + 393. Sort 5, n, -17 in descending order.\nAnswer: 5, n, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 + -19. Suppose 25*t - 7*t = 54. Solve -t*w + a = -6*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*q - 22 = 84, -509 = -5*u - 3*q. Suppose 7*d - 2*d = u. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-36)\/15)\/((-6)\/(-6)*(-756)\/(-405)).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 635264016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 342 and 3879.\nAnswer: 147402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 3*s**2 + 4*s + 4. Let c be j(4). Differentiate -6 - c*b + 6*b**2 - 3*b + 7*b with respect to b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 4*f**2 + f - 2. Let m be b(4). What are the prime factors of 105\/3 - (2 + m - 6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 + -0.11. Let g = a - 34.05. Let n = g + -4.34. What is n rounded to 0 dps?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 5*f + 9. Let k be u(-5). What is the highest common factor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 15 = 25. Suppose -4*w + 0 = -v. Solve 3*h = -h + 5*l - 16, -w*h = -2*l + 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7 - 13) + 23 + 6\/2. What is the third biggest value in -2\/3, 3\/4, -0.1, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/35608875 and 89\/6?\nAnswer: 71217750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 5*a**2 - 7*a - 19. What is the hundreds digit of m(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1599781198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0, -5, 2, -3, 0.119, -4\/71?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.047540416 rounded to three dps?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbblblllbbbblbllb. Give prob of sequence lbll.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o + 5 + 56 - 134 + 45. Calculate j(-16).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 z, and 2 o when four letters picked without replacement from uuzuuuzuaouuofaaugu.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.0336 - 4.801. Let j = u + -0.1066. What is j rounded to two decimal places?\nAnswer: 1.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -l + 11. Is 6 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/sqrt(72).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aenl when four letters picked without replacement from {l: 1, a: 1, n: 1, e: 1, v: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 10:04 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -8*i**2 - 7*i + 11. Let j(b) = b**2 - 1. Let y(q) = 5*j(q) + k(q). Let t(m) = m**2 + 2*m - 2. What is 7*t(c) + 2*y(c)?\nAnswer: c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -25*i**2. Let a(k) = 3*k**2 - 489 + 489. Determine a(u(y)).\nAnswer: 1875*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*q + 2*q + 2*q + 3*q + q - 5*q + (0 + q + 0)*(-2 + 1 - 1) to m + o*q and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 264 + -151. Suppose 16 = 117*z - w*z. Solve i = z*d - 12, 5*i - 2*d - 9 - 3 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -683 - -593.6. Let o = c + 2.9. Let i = -87 - o. Sort 3, 30, i in descending order.\nAnswer: 30, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6669 + 6966. Calculate the remainder when i is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + w + 425 = 0, 0 = -3*z - z - 3*w + 1735. List the prime factors of (z\/(-8))\/((-22)\/88).\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uz when two letters picked without replacement from {u: 1, r: 2, z: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -7*q**4 + 13*q**2 + 26*q + 50291. Let n(z) = -3*z + 0*z - 5 + 3*z**3 + 2. What is -52*n(k) - 6*x(k)?\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of u**3\/2 - u. Let w(n) = -3*n**2. Calculate h(w(d)).\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus -13.5798?\nAnswer: -16.5798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -7*w. Suppose 8 = u + 3. Suppose -3*k + 30 = p, w*k + 2*p = -k + u. Solve -4*r + k = 27 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.1 (b) -5 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.85 + -6. Let x be (1\/2 - 1)*((-627)\/57 + 17). Which is the third biggest value? (a) 5 (b) x (c) t (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 11*j - 29. Suppose 3*n - 214 = -199. Calculate a(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 6) + (-15 - -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kppnkpyknkpkpnppnpkk. What is prob of picking 2 p?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -312 by 39.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 322, 329, 338, 349?\n\"Answer: p**2 + 4*p + 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 16\/138*(-3)\/(-4)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -104*w - 16. Let z be f(-11). Round z to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -26?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 8 = i, -873941*i + 873929*i = 3*n + 15 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 3*h - 10 = 0, 0 = c - 4*h - 18 + 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 4*p - 38 - 20, -64 = -3*i + p. Let n be 36\/(-21) - 2\/7. Let u be 4 + (1 - -10) + n + 5. Solve m + u = 4*g - 0*m, i = 5*g - m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n + 2. Let z(k) = -2*k**2 + 11*k - 28. Calculate 8*w(g) + z(g).\nAnswer: -2*g**2 - 5*g - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9.4272 * 70\nAnswer: 659.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 8. Suppose -f*m - 12 = -12. Solve b + 2 = -m for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/2*(-180)\/(-105)*1\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 66 = 4*o, 2*v = 4*o - 7*o + 31. Suppose -1310 = 4*n - v*n. List the prime factors of n.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -27)*((-72)\/4)\/(-6). Let a be o\/(-612) + 2\/17. Let d = 108 - 130. What is the nearest to d in 1, a, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -634 = 13*i - 725 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 2*f = 8, -f + 249 = -m + 253 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - b - 24. Is 178\/b + 3\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + 2 - 4 + 2. Let h(k) = -20*k. Calculate m(h(p)).\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -0.2, -1207, 3 in ascending order.\nAnswer: -1207, -0.2, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -953, -4, 3, 0.3, 2\/9, 2.8, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/13 + 657\/130. What is the common denominator of 151\/450 and r?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*s - 3*g, 0*s - 2*g = 5*s + 13. Let w = s + 0. Suppose -25 = 25*y - 20*y. What is the second biggest value in y, -1\/13, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402625693?\nAnswer: 101, 3986393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6.4, -3\/1697, 1.2, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 10:46 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 13*z + 741. Let t = z - -252. Solve -t*y = -2*m - y - 6, 2*m + 2*y = 18 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370150613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.355274 to two dps.\nAnswer: -1.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 54634 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -907, -5, 4 in decreasing order.\nAnswer: 4, -2, -5, -907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 60, 78, 92, 102?\n\"Answer: -2*y**2 + 24*y + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*i + 4*i + 16*i - 8*i**2.\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 274255819 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (-9 - (4 + -21))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/252872 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, -1.3, -87, 1.4, 40?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 2*n**4\/3 + n**3\/2 - 29*n**2. List the prime factors of y(12).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20830 and 5010?\nAnswer: 10435830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 1 - -3) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 11:05 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -6*l**7\/7 + 15*l**4\/2 + 1087*l**3\/3 - 2667. What is the third derivative of r(d) wrt d?\nAnswer: -720*d**3 + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 25.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*l - 33*l - 2004 = 138*l for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4637*n**2 + 3*n + 5. Let o = 70 - 72. Let i be l(o). Suppose -r + i = 5*a - 5*r, -3*a + 4*r + 11133 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 252 - 112. Suppose -2*l - l - 180 = -5*m, -5*l + o = 5*m. What are the prime factors of m?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -3, -6?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 140?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -7*o**3 - 24*o**2 - 8*o - 5. Let a(i) = 4*i**3 + 13*i**2 + 4*i + 3. Give -11*a(p) - 6*z(p).\nAnswer: -2*p**3 + p**2 + 4*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -957520*k - 4*k**2 - 957520*k + 1915035*k.\nAnswer: -4*k**2 - 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2\/5 + 228*q\/5 + 6498\/5 = 0.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42.4 + -0.4. Let n = 36 - w. What is the smallest value in n, -0.2, 1\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 1. Let c(y) = -5 + 2*y**o + 5. Let h(q) be the first derivative of 2*q**3\/3 + 9. What is h(c(l))?\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11\/2 + -5. Let n = 83 - 83. Which is the third biggest value? (a) v (b) -2\/5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b - 195b9?\nAnswer: -19617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001101 - -10011100011110?\nAnswer: 10011101101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*w = 218*w - 1799734 - 448018. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7.5 and -265 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20672 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from accacacaacaaa. What is prob of picking 3 a?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -12957020 to the nearest 100000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-3))\/((-2)\/14). Let w(h) = -h**2 + 11*h + 1. What is the tens digit of w(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -454 + 471. What is the derivative of -12 - z*j + 23*j + 112*j - 29 wrt j?\nAnswer: 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/1675 (b) -1\/12 (c) -6 (d) 0 (e) 72 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -129 + -82012?\nAnswer: -8213b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 102?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/21 of a week in hours?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -14*d**3 + d**2 + 3*d + 4. Suppose 2*c + 5*p = 16, 4*c - p = 3*p - 24. Let r be v(c). Calculate the highest common factor of 19 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 364470?\nAnswer: 2, 3, 5, 12149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1437 - 796. Suppose -155 + o = 3*j. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 4*h - h - 16, -2*d = -h + 7 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3 + 55*x**2 + 104*x**2 - 12511*x + 12506*x. What is the units digit of r(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/12319 - 603591\/246380. Calculate the common denominator of m and 21\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 28, 68, 144, 268?\nAnswer: 452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -232133 - -1?\nAnswer: -232132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -961*v**2 + 931*v**2 + 7*v**3 + 40*v - 2*v**3.\nAnswer: 5*v*(v - 4)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/6*0*(-6)\/48. Let h(n) = -8*n - 7 + n + 6*n. What is h(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/4 - (-1)\/4*15. Let i be (-6 + 4)\/l*-6. Solve -1 = m + i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2870, 2871, 2872, 2873, 2874?\n\"Answer: n + 2869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 552*s + 549*s = 0, s - 15 = 2*u. Let n(c) = -4*c**2 - 7*c + 66. Give n(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2385, 4866, 7535, 10488, 13821, 17630, 22011?\nAnswer: 27060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 2*l - 4*l)*(-2*l**3 - 8*l**3 + l**3).\nAnswer: 27*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/4)\/7*1*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -73128 - 250?\nAnswer: -73378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 2*y = -9, -2*y + 112 - 123 = -5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1760 - 528 = 7*r. Does 22 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 104*d + 4073. What is p(-39)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6367, 6327, 6291, 6259, 6231?\n\"Answer: 2*u**2 - 46*u + 6411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iiiiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -29. Calculate the common denominator of n\/(-8) + (-2)\/3 and (5 - 29\/2)*1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 - x + 9. Let q(f) = -f**2 + 4. What is 4*g(s) - 9*q(s)?\nAnswer: s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 114\/5 in 0.1, -2\/13, 11, 1\/2, 0.04?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (49\/(-28) - -2)*44. Let p be 1\/4 - (-30)\/8. Suppose -2*q + 74 = -p*y, y = -3*q + 6*y + 109. Calculate the highest common factor of q and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 - l**2 + 2*l**2)*(2*l - 2*l - 6*l**3) + (0*l - 3*l + 5*l)*(0*l**4 + 2*l**4 + 0*l**4) + (l - l + l**4)*(-2*l + 2*l - l).\nAnswer: 15*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -1113*b. Let h(x) = x**2 - 32*x. What is t(h(i))?\nAnswer: -1113*i**2 + 35616*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n + 12. Let w be d(-6). Suppose 3*f - 5*f = -w. Let r be (f - 7)\/(4\/2). Which is greater: r or -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3\/5 - 114*b**2\/5 - 111*b\/5.\nAnswer: -3*b*(b + 1)*(b + 37)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t + 4. Calculate the remainder when (-2)\/((-327)\/(-111) - 3) is divided by o(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) -3 (c) 0.01 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-231)\/462)\/((-11)\/(-2))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 5 - 2 = n, 4*n - 3*f + 2 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7 - -10)*(-2)\/6. Let x(g) = -g. Give x(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 - 19 + 11 - 78*x**2 + 3 - 490*x**2 - 569*x.\nAnswer: -(x + 1)*(568*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 9:45 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-1))\/(3\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-28)*t)**(-8\/3) assuming t is positive.\nAnswer: t**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -4*o**3\/21 + 4*o**2 - 28*o - 2. Factor a(k).\nAnswer: -4*(k - 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.0419, 2\/19 in decreasing order.\nAnswer: 1, 2\/19, 0.0419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -2 (c) 52 (d) 2 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212 (base 4) in base 15?\nAnswer: 6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 450 and 990?\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/12 and -151\/9672.\nAnswer: 9672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q. Let s(g) = 38*g - 3*g**2 + 39*g - 79*g. Calculate s(v(d)).\nAnswer: -12*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 33255 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.6 - 635.8009801?\nAnswer: -576.2009801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 13*w. Let k(l) be the second derivative of -l**4\/12 - 16*l. What is k(r(t))?\nAnswer: -169*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**6\/6 + 323*j**5\/12 - 135*j**4\/8 - 2941*j**2. Determine a, given that u(a) = 0.\nAnswer: -81, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1648 is divided by 110.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*q = 0, -2*q = -5*t - 4*q. Suppose 2*k + 1 = -5, 3*m = 4*k + 12. Solve 5*x - 5 + t = m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 b when three letters picked without replacement from logllblllllbblol?\nAnswer: 27\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and 17.578?\nAnswer: -0.52734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23771.6 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100202120 - -21?\nAnswer: -1100202022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29353 = 5*x - 2*g, -450*x + 453*x = 5*g + 17627. Are x and 5868 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2 = 3*k, 2*c - 2*k + 4 + 8 = 0. Sort 4, -4, -1, c.\nAnswer: -4, c, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1775 + 4?\nAnswer: 1780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1621 - -1528. Does u = -458\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1799330 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9\/167 (b) 1\/4 (c) -2\/5 (d) 1 (e) 5 (f) -4\/5 (g) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.8 - -8. What is the third smallest value in s, -1\/4, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 15. Let v = s - -50. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 + 3*n - 3. Let v be i(2). Let z be (-5)\/(-10) - v\/(-2). Calculate the greatest common divisor of 2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 982956\/31 + -31714. Let m = c + 4571\/186. Let g = -10140 - -243511\/24. Find the common denominator of g and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fj when two letters picked without replacement from {y: 4, f: 5, j: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -19. Suppose -7 = -2*p + 3. Let g = p - b. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 12 = 16*v. What is the remainder when 8 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13596180 - 0.9706\nAnswer: 13596179.0294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 19*p**2 + 4*p + 8. Let r(v) = v**2 + v. Let q(g) = 4*r(g) + s(g). Is q(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 25814008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/6 less than 14\/104403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 199*r + 1207. Let k be d(-6). Calculate the highest common divisor of k and 2691.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -68*t. Let r(z) = -4*z**2 + 10*z. Determine k(r(f)).\nAnswer: 272*f**2 - 680*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1112?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 - 34*p + 36. What is h(15)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/6*(-1716)\/2552. Which is smaller: -2 or l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -545891\/36 + 15162. What is the common denominator of c and (-1064)\/532 + (-218)\/(-54) + (-3)\/(-6)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -p. Let l be 52\/(-16)*(-16)\/p. Suppose 2*x - l + 6 = 0. Solve -o - u - 3 = 3, 5*o + x = 5*u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of l**2 + 2. Let b(u) be the first derivative of -u**3\/3 + 5. Give b(h(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56 + -57. Let d be p\/(-2) - 56\/(-16). What is the second derivative of 5*l + 14*l**d + 8*l**4 - 9*l wrt l?\nAnswer: 264*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 360? (a) 1 (b) -5 (c) 0.2 (d) -3 (e) 2\/77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 6. Suppose 16 = 3*p - m*p. Which is greater: p or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z = -w + 5*z - 7, -2*w + 16 = 5*z for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -813 + 849.4. Let i = -34.4 + v. What is the closest to i in -2, 1, 0.4, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41293 = 4*x + 4*p + 41233, -51 = -4*x + 5*p for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i*i\/(i\/(i*(i*i**(2\/11)*i*i)\/i)))\/i)\/i**(-8\/3))**(-5\/7))**(-10))**(-6\/19) assuming i is positive.\nAnswer: i**(-19300\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 59156 - 155?\nAnswer: 59001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -126*s - 6 + 115*s + s**2 + 0. Let n be y(12). Solve 3*f - n*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.465 * 3\nAnswer: -28.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 99*a**4 - 28304501*a + 1361*a**3 + 72 + 28304615*a - 287*a**3 - 1359*a**2 = 0.\nAnswer: -12, -2\/11, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + 5499*p - 2749*p - 2750*p - 856*p**2 + 853*p**2.\nAnswer: -3*p**2 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13846234 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: Rearrange -11 - y**2 + y**3 + 43084*y - 43084*y to the form a + g*y**3 + f*y + x*y**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((-1*sqrt(280))\/sqrt(10) + 5)**2 + -5 + -2 + 4)*1.\nAnswer: -300 + 120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -45, 16, -2, -8, 0.5, -5, 2\/7?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 15 + 2*v**3 + 7 - 14 - 4 - 1.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 3*o + q, -q = -3758*o + 3754*o - 45 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170 and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lmq when three letters picked without replacement from {h: 2, l: 2, q: 4, m: 5}?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 4:24 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/((-195)\/4)*(-2)\/4.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 7:58 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 0.198?\nAnswer: 1.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -332 divided by -487.\nAnswer: 332\/487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 + 33 = -2*p. Suppose -3*k + p = 12. Suppose 3*g = -h - 6 + k, g + 2*h - 14 = 0. Calculate the smallest common multiple of 8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -9617, -1.3, -151 in decreasing order.\nAnswer: 1, -1.3, -151, -9617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wywwwyywyywywy. What is prob of picking 3 y?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1657092346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 21 + 28)*((0*y + 2*y - 4*y)*(-3*y**4 - 3*y**4 + 4*y**4) + 433*y - 433*y - 55*y**5).\nAnswer: -1887*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -3\/2*s**2 - 1\/2*s**3 + 0 + 1\/8*s**4 - 8*s. Let t(r) be the first derivative of h(r). What is t(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.2 minus -4796?\nAnswer: 4791.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73923587?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 193, 186, 169, 136, 81, -2, -119, -276?\n\"Answer: -q**3 + q**2 - 3*q + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 803 = 3*o, 0 = 5*u + 2*o - 217 - 590. What are the prime factors of u?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 61530000 to the nearest one million.\nAnswer: 62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2510 and 1570.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 10*h - 7. Let i be z(-11). Suppose i*k = 4*g - 172, -2*k = -4*g - g + 230. What is the common denominator of -99\/4 and 1\/(g\/(-332)) - 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001446475 to six dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1175\/188 + (-2)\/8. Let p(l) = 80*l + 5. List the prime factors of p(d).\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 - 12 - ((-1 - (-1 + 7)) + 6 + -3)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-156)\/(-182)*249\/1743?\nAnswer: 6\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -43*d - 10. Let y be c(-3). Suppose 2*n = 25 + 9. What is the highest common divisor of y and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -233 in 0.2, -4, 5, 1\/12, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 854 - 850. Put -1, 0, -118, c in descending order.\nAnswer: c, 0, -1, -118","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1361, -1636, -1935, -2270, -2653, -3096?\nAnswer: -3611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10.6 (b) -3 (c) 1\/2 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 259.6 + -259. Let x = -425 + 446. Which is the second smallest value? (a) r (b) x (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/8 (b) -1 (c) 1\/3 (d) -5\/14086 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 35. Suppose -v + 4*m + m + 31 = 0, -h = 4*m. What is the remainder when 43 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 8:26 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2373 rounded to 2 dps?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 0.221.\nAnswer: 0.221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 16 = -5*p. Suppose p = 2*r + k + 1, 4*r + 5*k + 2 = 0. Let q(v) = -16*v + r*v + 9*v + 7*v. Let b(y) = 3*y**2. Give b(q(d)).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 4*j. Let h(i) = 127*i**2. What is f(h(n))?\nAnswer: -16129*n**4 - 508*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 7*u**4\/12 + 5*u**3\/6 - 5*u**2\/2 - 3*u - 113. Let r(b) = b**2 - b + 1. What is -d(c) - 5*r(c)?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 11 + 1 + 1 + 0.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - 5*b)*(-9 + 14 + 3 + 25).\nAnswer: -165*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 6 = 5*a, a + 2 = -4*o + 41. Calculate the greatest common divisor of o and 729.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from rrrqrqqrrqrrrrrrrrrr.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -874084.1693 to the nearest 100.\nAnswer: -874100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 4*l**2 + 9*l - 14. Let p be d(5). What is the third derivative of 709*g + g**3 - 658*g - p*g**4 + 41*g**4 + g**2 wrt g?\nAnswer: 840*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8*2\/(-192) + 122\/24 - 18 and 2 + (-1165)\/232 + 3?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 - 38244*b**2 - 121960080*b - 487228608.\nAnswer: -3*(b + 4)*(b + 6372)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277638162 a multiple of 9606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 25*i - i - 2*i.\nAnswer: -28*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -r - 144, -2*i + 3*r + 148 = -0*r. List the prime factors of i.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 54 + 29 - 64 + 50*l.\nAnswer: 50*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 659.06 + -659. What is the smallest value in i, 6, -2\/7, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 117*t**6\/20 - 127*t**5\/3 - 746*t**2. Find the third derivative of h(w) wrt w.\nAnswer: 4212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -78*a + 114. Suppose -6*s - 78 = -19*s. Let p be m(s). Is -354 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -768 + 768.0000697. Round x to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -9. Suppose 0*u = f*y - u - 16, 5*y - 30 = 5*u. Find z, given that -2*z**2 - 5*z + y - 10 + 3 = 0.\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from oozz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 5*n = -1 - 9, 4*r = 3*n + 27 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 11 (c) -4 (d) 0 (e) -2\/7 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-154)\/(-35))\/(((-56)\/(-35))\/(-4))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 337*f**3 - 336*f**3 + 3039*f**2 - 8450*f**2.\nAnswer: f**3 - 5411*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000067977629 to 7 decimal places.\nAnswer: 0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 3*l**2 - 3*l - 4. Let r be (-1)\/4 + (-19)\/4. Let u be (-22)\/5 - 2\/r. What is w(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9289043446 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3\/3 - 1145*r**2\/6 + 3361*r\/3 + 292 = 0. What is r?\nAnswer: -292, -1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4212*p - 2107*p + 10 + p**2 + 2*p**4 - 2103*p as n*p**2 + k*p**3 + d*p + r + z*p**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5096 (base 11) to base 15.\nAnswer: 200a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28312 - -11525. List the prime factors of h.\nAnswer: 3, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17658149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*sqrt(78)*-6 - (sqrt(78) + 1*2*sqrt(78) + sqrt(78))))\/(sqrt(6) + sqrt(6) + sqrt(12)\/sqrt(50) + sqrt(216)*-3).\nAnswer: 20*sqrt(13)\/79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -103075\/2 - -579590731\/11246. Which is bigger: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v**3 + 35*v**3 - 12*v**3 - 5*v**3 - 10*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w + 26. Let o be s(-3). Find the first derivative of 30 + 11 + o + 0*f - 35*f wrt f.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 273, 825, 1693, 2865, 4329, 6073?\n\"Answer: -2*l**3 + 170*l**2 + 56*l + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70479.\nAnswer: 3, 41, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21588 + -21588. Which is the closest to 0.1? (a) 4 (b) t (c) -7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-58 + 58 - 76)*(-4 + 0 + 3) - 3 + 7 - 1 - 1 + 4 - 1)*((-1 + 0 + 2)*(-1 + 2*a + 1) - a + 2*a + 0*a).\nAnswer: 243*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7b0 (base 16) to base 6\nAnswer: -13040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -105\/61 or 8799?\nAnswer: -105\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 + 54. Suppose 0*f = -q*f + 8. Suppose 0 = l - 3*p - 2*p - 1502, 3*p + 6025 = f*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**3 + 521*y**2 + 759*y + 129778. Calculate b(-260).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ott when three letters picked without replacement from {t: 3, o: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b - 2. Calculate n(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7645133, 15290087, 22935041, 30579995, 38224949, 45869903?\nAnswer: 53514857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-10))\/((-1)\/(-6))*-5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 6*c + 4. Suppose -3*j + 5*j - 5*p - 39 = 0, 0 = -5*j + p + 86. Suppose 3*s - j = 2*h, 4*h + 3 = h. Give q(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 6 = -19. Suppose -884 = -i*z - 0*k - k, 881 = 5*z + 4*k. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 + 275)\/51 + (0 - 130) - 13?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 k when two letters picked without replacement from jihhffffikihqfiifi.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -3 - (-155 + 154)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -311 + 351. Let g(n) = -n + 21. What is the remainder when d is divided by g(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 278 - 273. Suppose -4*c + 207 = r*d, -4*c - 3*d - 69 = -270. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 36? (a) 0.2 (b) 3 (c) 4 (d) 18 (e) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*b - 48 + 16*b**2 + 87*b**5 + 325*b**3 - 323*b**3 - 16*b**2 + 71 wrt b?\nAnswer: 1740*b**3 + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m - 1. Let c(t) = 18*t + 6. Let u = -2629 + 2634. What is u*z(x) + c(x)?\nAnswer: 13*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4122 divided by 2?\nAnswer: 2061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vyryrvyayaryyyryrr. What is prob of sequence aay?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 12. Suppose 3*b = -3*y + 51, 9*b - 12*b = -3*y + 63. Suppose 28 + 105 = y*m. Calculate l(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 9.19355 weeks?\nAnswer: 64.35485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 d when three letters picked without replacement from ldjzdzjjlzdrjlzyjz?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 - 450 = -5*g + 5*n, 4*g = 5*n + 295. Suppose t - g = -8. What is the remainder when t is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -562, -5, 3.2 in decreasing order.\nAnswer: 3.2, -5, -562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1 + sqrt(1088) + 2 - ((sqrt(1088) - (sqrt(1088) - (1 + sqrt(1088)))) + -3 - sqrt(1088))))**2 + (sqrt(272) + -5*(-1 + sqrt(272)) + -1 + -4)**2.\nAnswer: 96*sqrt(17) + 5476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 18*g. Let x(k) be the third derivative of k**4\/24 + 93*k**2. Let l be 2\/((-4)\/(-3))*10. What is l*x(o) - p(o)?\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (25 - 50) + 25 - (1 + -11)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 7*x**2 - 8*x + 2. Let l be v(8). Calculate the highest common factor of 22 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 - -1.97. Let p = -10 + 15. Let t be (p\/20)\/(2*1). What is the nearest to 2 in 0.1, t, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14387 - 14380. Solve 0 = -5*w - s - 5, 0 = 2*w - o*s + 5*s + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1173?\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 - 4*k - 4. Let c(q) = q + 1. Let v(z) = -4*c(z) - u(z). Determine v(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1866\/1555*25\/(-285)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 961480 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -36*j + 609. Give o(18).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 4*z + 71. Let m(q) = 11*q - 13. Let b be m(9). Let l = z - b. Do l and -12 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 - -248. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - 6*sqrt(88)*3 - -2*sqrt(88)*-3)\/(-4*sqrt(128) - -2*(sqrt(8) - 1*sqrt(8))).\nAnswer: 23*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*j**2 + 88*j**2 + 8*j**3.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 118595 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1818069 take away 5?\nAnswer: -1818074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**3 + 3*x - 1. Let a(z) = z**3 - z**2 + z + 1. Let p be a(0). Let y = p + -5. Is s(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 92865293 or 92865294?\nAnswer: 92865294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -815 + 816 - (-18 - (0 - 2 - -1))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/7 - 28\/(-98). Sort -5, o, -19, -2 in descending order.\nAnswer: o, -2, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + -3 - -4 - -7. Suppose d*r - 280 + 0 = 0. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14443201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3532, 9834, 18884, 30682, 45228?\nAnswer: 62522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 43 and 5.9289.\nAnswer: 254.9427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 12:50 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (42\/8)\/3 + 104\/416. Suppose 0 = -o + 4, x + 5*o - 34 = -15. Sort x, q, -2.\nAnswer: -2, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r**(-42)\/r*(r**(-36)*r)\/r assuming r is positive.\nAnswer: r**(-77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 + 259 = 2*m. Let h = m + -163. Suppose 0 = 5*u - 2*f - h, u = 3*u + 2*f - 30. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -39*a**2. Let c(n) be the first derivative of 5*n**3\/3 - n**2\/2 - 6546. Calculate r(c(x)).\nAnswer: -975*x**4 + 390*x**3 - 39*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-2 - 2) + (-654)\/6. Let k = l + 123. Suppose -5*g + 7 + 8 = 0. Solve -u = 2*z - g + k, -3*u = -3*z + 12 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111400 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -694, -783, -932, -1141, -1410, -1739, -2128?\n\"Answer: -30*i**2 + i - 665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wlalwwlwlmwaapwllmpu. Give prob of sequence mwu.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1411379?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36035*a = -35954*a + 2754 for a.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -282503 divided by -9113.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -1279*s**2 + 23*s - 2. Let a(j) = -118*j**2. Determine q(a(t)).\nAnswer: -17808796*t**4 - 2714*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1022.91 + 1023. What is the smallest value in -5, g, 4\/25?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -116 take away 16.5349365?\nAnswer: -132.5349365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (367 - 366)\/((-6)\/7 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17121.948163 - 17122. What is o rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 14*n**3 - 46*n**2 + 20*n - 9. Let x(y) = 39*y**3 - 139*y**2 + 59*y - 25. What is 14*o(f) - 5*x(f)?\nAnswer: f**3 + 51*f**2 - 15*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -1\/6*m**4 + 0*m**2 + 0*m**3 + 0*m + 5 - 1\/9*m**6 - 4\/15*m**5. Suppose f(g) = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 3, -37, 4, -4 in descending order.\nAnswer: 65, 4, 3, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 523225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000055 (base 6) to base 4.\nAnswer: -23121203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**3 + 2 + b + 24519*b**2 + 0*b - 24518*b**2. Calculate s(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -833052*f + 833053*f + 10, 3*a = 56*f + 772 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -26. Let v be 6\/(-7 + 312\/42). Which is smaller: v or q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**3 - 7*v**3 - 10*v**3 + 26*v**3.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8553, 8578, 8601, 8622?\n\"Answer: -x**2 + 28*x + 8526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + -6*(sqrt(2) + sqrt(2) + (sqrt(162))**2) + 0 + 1 + -2*(sqrt(2)*-1 + 0 + sqrt(8)\/sqrt(4)*-3).\nAnswer: -971 - 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 179253*s**2 + 153418 wrt s?\nAnswer: 358506*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-227.5\nAnswer: 45.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 23. Let o be 187\/51 - y\/6. Solve -1 - 2 = o*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 75*n = -77*n + 1666, -3*w = -5*n - 1269. Calculate the greatest common divisor of 297 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214454069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*u - 38*u - 44*u - 8*u as j*u + a and give j.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/2, -3, 37118 in increasing order.\nAnswer: -3, 7\/2, 37118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1252210862.\nAnswer: 2, 7, 1997, 44789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.28 - 1.11. Let z = l + -0.87. What is the nearest to -3\/4 in -5, z, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(1\/14))\/(g*g**(3\/11)) assuming g is positive.\nAnswer: g**(123\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.079 and 102915?\nAnswer: 102915.079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3*44\/(-36)*3\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, y: 2, n: 3}. Give prob of sequence nnn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - u - 3600 = 0. Suppose 520 = 7*g - u. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - s - s + (-3*s + 0*s + s)*(1 - 5 + 2))*(3*s - 3*s - 2*s**4).\nAnswer: -2*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * 85.7\nAnswer: 1.714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (262 + 41*m - 262 + 119*m)*(5*m**2 + 2 - 2).\nAnswer: 800*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 46*d - 8. Let u(p) = 65*p - 12. Let g(f) = -7*r(f) + 5*u(f). What is g(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 bigger than 2250\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57 + -29. Suppose 0 = 5*y + t - 143. Suppose 2*k + 4*v = y - 5, -3*v = -4*k + 14. Solve -4 = -2*d - 14, k*w = 2*d + 25 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4437 by -3.\nAnswer: 1479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1428359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-572)\/(-165) + -4)*(0 + 3)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19.95 - -20. What is the third biggest value in -5\/3, x, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -0*b. Suppose -2*d + 4 + b = 0. Find the third derivative of 7*t**3 + 2*t**d - t**3 + t**5 - 6*t**3 wrt t.\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 163 and 1304.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (109*s - 36*s + 198*s)*(1 + 3 - 2) + (2*s + s - 8*s)*(0 + 3 - 1) + 2*s - 3*s - s.\nAnswer: 530*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*v + 3*k + 11 = 35*v, 21 = 3*v - 3*k for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1328733 and 10611.\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -132, -135, -144, -165, -204, -267, -360, -489?\n\"Answer: -a**3 + 3*a**2 - 5*a - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -419445711.471 - -419481304.4312933. Let x = 35749.9603 - m. Let r = x - 157. Round r to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104 * -3\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 77 + 27*x**3 - 38.\nAnswer: 27*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1086 is divided by 522.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111 (base 3) in base 16?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-5 + 14 + -13).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9009)\/182*(-60)\/110?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 15*q**2 - 15*q**2 - 12215*q**3 - 19457*q**3.\nAnswer: -31672*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 7*c. Let o = -89 + 91. Suppose 10*l - 112 + o = 0. Let i(n) = -4 - l + 15 + 7*n**2. What is i(a(j))?\nAnswer: 343*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**3*m*s**2 - 3*d**3*m*s - 21*d**3*s**2 + d*m*s + d - 2*m*s**2 + 3*m*s wrt s?\nAnswer: 4*d**3*m - 42*d**3 - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkknddknkkdkkd. What is prob of picking 2 d and 1 k?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 118*b - 813. Let y be u(7). Suppose 3*m + 4*t = 7, -2*m - 3*t = -0*m - 4. Suppose 4*l - 2*c = 46, m*l = -3*c + 98 - 24. Are l and y non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 15 = -6*a. Let v be 0*(a + -2)\/1. Suppose v = -4*g + 53 + 7. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 8 = -2. Let o be (w + 3)\/(2*-1). Solve o*y + 9 = 3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 * 849.23422\nAnswer: -934.157642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 8 = 4*c - 7*j, 2 = c - 2*j. Solve -5*k + 2*k = -4*o + 16, -2*k = -c*o + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 93\/248 + 1354*1\/16. Let o = -83 + l. Solve 2*q + 4*i = 2, -o*q + 3*q - 5*i + 13 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6348795*t**2*w**2 - 175*t - 11729*w**2 wrt t.\nAnswer: -12697590*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/98)\/(12\/(-21))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -30 + 29 + -4 + 8 - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**2\/5 + 28306*j - 1001537045 = 0.\nAnswer: 70765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 5*a + 253 = -2*m, -5*a - 2*m + 257 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 = -7*k + 4*k. Is 18 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2100 - -2099.5. Let n = 1599280 - 49596747\/31. Let s = -615 - n. What is the closest to -0.2 in r, 0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2219 is divided by 57.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.218 and 8496849.\nAnswer: 8496845.782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-3140 + 3634 + 4130)*(6*b - 2*b - 2*b).\nAnswer: 9248*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 848035106 to the nearest integer?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1138*y + 96 = 1130*y for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 - (-7 + 3 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**3 - 6*g**2 + 27*g + 54 = 0.\nAnswer: -3, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -50*f. Let w(o) = -2*o**2 - 5. Let a(n) = 1. Let l(j) = -j**2 - 5*j + 1. Let q be l(-5). Let k(h) = q*w(h) + 5*a(h). Determine x(k(r)).\nAnswer: 100*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*2)\/(-1*(-2)\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 45\/6*(-8)\/(-12). What is the third derivative of 4*a**3 + 10*a**2 + 6*a**3 - z*a**3 wrt a?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*q = -543, 2*u + 179 = u - 2*q. Let k = u + 260. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - b - 3. Let d be j(3). Solve -5*x = d*u - 6, 0*u - u - x + 2 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4*((-8)\/4 - -2). Suppose x - 3 = -i*x, -5*n - 4*x = -112. Find the common denominator of (36\/25)\/((-104)\/n - -5) and -76\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33109.7 times 3.2\nAnswer: 105951.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1402424200 (base 5) in base 11?\nAnswer: 2012622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 6:17 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127426, 1018779, 3437984, 8148967, 15915654, 27501971, 43671844, 65189199?\nAnswer: 92817962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -518 - 295 = -6*n + 153. Which is smaller: n or 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 2\/5 (b) -6\/5 (c) -59 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.041 and -90012.\nAnswer: -3690.492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3867549?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*y**3 + y**2 + y - 73*y**3 + 33*y**3 - 110*y**3 as m*y + n + i*y**2 + g*y**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/10*n - 1\/10*n**2 + 1\/5 = 0. Calculate n.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.47 + 0.53. Which is the biggest value? (a) -19 (b) w (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 + -0.1. Let v = -6.063 + 6.013. Which is the second biggest value? (a) w (b) v (c) -2 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100959?\nAnswer: 3, 73, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2045646 is divided by 72.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 12. What is the second derivative of y*q - 11*q**3 + 30*q**3 + 5*q**4 - 19*q**3 wrt q?\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25409786?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 3*r**2 - 1\/60*r**5 + 0 + 0*r + 37\/6*r**3 - 19\/24*r**4. What is the tens digit of z(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 439 and -1?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*o**3 + 0*o**3 - 12*o**3 + 4*o**3.\nAnswer: -18*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3939 and 483236.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/528048 and -13\/88008?\nAnswer: 528048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000100101001100000100011011 + 11?\nAnswer: -1000100101001100000100011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 4479*t**4\/4 - 10316*t**3\/3 - 7937. What is the third derivative of j(d) wrt d?\nAnswer: 26874","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 5*j + 49. Let x be i(23). Suppose 3*t = 5*k + x, 6*t + 2*k = 5*t + 136. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5316940 + 0.4.\nAnswer: 5316940.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 13. Sort m, 2, 4.\nAnswer: m, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79363665 to the nearest integer?\nAnswer: 8909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/84*(-1358)\/388.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/(-77) - 6\/33. Solve -4*q + 4*f - 36 = h, -q = 2*q - 4*f + 32 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*d, 0 = -3*q - d - 3*d + 61. Let o(v) = -12 + 0 - 13*v + 40 - 18*v**3 + 17*v**3 + 17*v**2 - 15*v. What is the tens digit of o(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -4b?\nAnswer: 4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 128 + -380\/3. Suppose 3*l + 57 = -5*o, l - 29 + 6 = 3*o. Let g = o - -5. Sort u, g, 4\/5.\nAnswer: g, 4\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = 4*z - 5*z. Let n = 250 + z. What are the prime factors of n?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(6\/24*-4 - -2). Solve -2*w - 7*f + 6 = -2*f, 0 = -d*w - 2*f + 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 295552, 591104, 886662, 1182226?\n\"Answer: 3*h**2 + 295543*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.2 (b) -1\/13 (c) -2 (d) 14 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1364 - 13*g + 1364.\nAnswer: -13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 22, 2\/13, 2\/11, -5, -0.2, -3, -6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -566 divided by 7.\nAnswer: -566\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.778 + -0.222. Let g = 117 + -707\/6. What is the third smallest value in 2\/9, i, -93, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -17 (c) -0.4 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 + -16?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -66377542, -66377543, -66377544, -66377545, -66377546, -66377547?\n\"Answer: -n - 66377541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -7 + 10*l**2 + 4*l - 5*l + 4*l - 6*l**2. Let n(s) = 6*s**2 + 5*s - 11. Suppose 411*t - 416*t = 40. Let a be 6\/1 - 0 - 1. Give a*n(c) + t*v(c).\nAnswer: -2*c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 7*o. Let i = -11 + 11. Let h = -7 + i. What is m(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -2. Let z be 0 + 3*o\/(-39). Which is the second smallest value? (a) z (b) -2\/9 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.111847 rounded to three dps?\nAnswer: -0.112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/(-78)*(-8)\/(-14)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccccccczcccccccc. What is prob of picking 1 z and 1 c?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 2)\/((-8 - -10) + -3). Let d(t) = -65*t**3 - 6*t**2 - 7*t - 2. Let k be d(p). Calculate the highest common divisor of 48 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 3*d**2 + 7*d + 6. Let p(f) = 5*f + 25. Let x(s) = 2*s - 22. Let t be x(8). Let w be p(t). Give m(w).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 z when three letters picked without replacement from {l: 1, z: 11, j: 2}.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 18 = -2*u. Let s be (-3)\/(-9) - u\/9. Which is smaller: s or 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1338047 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -36*f + 26*f - 165, 0 = f + 2*a + 19 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 56*z = -2450. Suppose 51 = -5*x - 124. Let f = z + x. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -396, -444, -490, -534, -576?\nAnswer: -616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -48, 0.1, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 2*m**2 - 2*m + 3. Let d be y(2). Suppose 7 = 5*q + o, 3*q - 3*o - d = -0. Calculate the highest common divisor of 16 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 60*l + 3 + 18*l + 5*l.\nAnswer: 83*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 2. Let o be 0*(2\/4)\/1. Let f = -2.5 + 2.7. Which is the third smallest value? (a) f (b) g (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135, -365, -683, -1083, -1559, -2105, -2715?\nAnswer: -3383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64 + -64. Put -4, 6, -5, u, 3 in decreasing order.\nAnswer: 6, 3, u, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*h**2 - 15*h**3 - 32*h**3 + 49*h**3.\nAnswer: 2*h**3 - 15*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 - -50. Suppose k*d - 79 = 11. Let u(b) = -2*b + 2. What is the remainder when d is divided by u(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 - 5*q - 2. Determine s(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -1b4aba?\nAnswer: -1b4abc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.1413 + -0.1\nAnswer: 0.0413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 1*-4) + 1. Let d = i + -2. Suppose -4*y - 22 = -r, 2*r + y - d = -2. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8718514 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42458621 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -2. Let y = 2 + -4. Let o be 19\/28 - y\/(-8). Sort v, -3\/2, o in descending order.\nAnswer: o, v, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -950*r**2 - 946*r**2 - 2 + r + 21*r**2 + 2 + 1872*r**2.\nAnswer: -3*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1719873 and 544?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 491*s**2 - 1426369971*s + 1426369971*s.\nAnswer: 491*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11.000008 - -11. What is m rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 2. Suppose -130 = -s*y + 2. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 + 2*o - 2. Let k be w(-2). Suppose k*d + 0*d - 4 = 0. What are the prime factors of (-18)\/(-15)*15\/d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*n**2 - 1453*n**2 + 2 - 2.\nAnswer: -1516*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 643.386 + -643. Let h = m - -0.855. Round h to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 134201 + 417432 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 9. Suppose k - b = 2*k - 87, k - 3*b = 83. Suppose -m + k = -j. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 6*m - 2. Let p be ((-4)\/(-3))\/((-6)\/(-9)). Let y be p\/(-3) - (-6)\/(-18). Which is greater: y or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -5 - (52 - 21 - 54)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10, 31, 52, 73?\n\"Answer: 21*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 10*u**2 + 56*u + 70. Determine y(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 38\/5, 0.2, -21, -4, -5 in increasing order.\nAnswer: -21, -5, -4, 0.2, 38\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/(-25) + 68\/85. Which is the nearest to r? (a) -3 (b) -1\/4 (c) 744 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -276121*a**3 - 3*a*x + 292999*x - 3 wrt a.\nAnswer: -828363*a**2 - 3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 4*c**2 + 5*c - 1. Let b be 9042\/88 - 1\/(-4). Let h = -99 + b. Determine o(h).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 80, -21, 9, -15, -2, -5?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i. Let s(f) = 54892629*f**2. What is n(s(x))?\nAnswer: -219570516*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(-33*(-1)\/6 + 2). Suppose 0 = 14*z - d*z + 45. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34973\/9387 at least as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 582770 and 18065856\/31 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {b: 7, r: 1}.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llwnllflflnlwfl. Give prob of picking 1 l and 1 w.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5066206, 20264821, 45595844, 81059275?\n\"Answer: 5066204*x**2 + 3*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 885724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-3) - 28\/(-12). Suppose -3*t + 383 = 353. Solve 4*x - 8 = 4*w, -x - d*x - w = -t for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/11 - 71001180*y**2\/11 + 630145945174050*y\/11.\nAnswer: 2*y*(y - 17750295)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1112 + 3304\/3. Let w = -11 - l. Suppose f - t + 4 = 0, 4*f + 0*t = t - 10. Which is the smallest value? (a) w (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31*u + 87*u - 47*u)*((-1 - 3 + 2)*(-u + 0*u + 2*u) - 4*u + 2*u + 0*u)*(-1 + 1 + 1) to w*u + v*u**2 + d and give v.\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -1\/190*h**5 + 1\/114*h**4 - 24*h + 0 - 1\/285*h**6 + 1\/57*h**3 + 0*h**2. Determine w, given that v(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4 (b) -0.02 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 3*v**2 - 2*v. Suppose u - 5 = h, -u - 4 + 5 = h. Let k = h + -1. Calculate g(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 0 - y + 0*y**3 + 0*y**4 + 3\/20*y**5 + 1\/2*y**2. Differentiate i(r) with respect to r.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 248, 502, 756?\nAnswer: 1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t - 6. Let j be u(4). Let m be -4 + 26*9\/(-18). Let c(w) = -2*w**2 + 11*w. Let f(a) = -6*a**2 + 32*a. What is j*f(k) + m*c(k)?\nAnswer: -2*k**2 + 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - (-6)\/3)\/(-2) + 6. Suppose 1700 = 4*p - g*k, -p - k + 163 = -270. Suppose 9*h - p = 75. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = -g. Let u = g + 3. Suppose 5*m = 2*d + 3*d - u, 4*d - 36 = -4*m. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 x, 1 u, and 1 s when four letters picked without replacement from uxsxsv.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3120 and 72.\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2))**(1\/23)*x\/((x*x**(-2\/13))\/x)*x*x**(1\/4)\/x assuming x is positive.\nAnswer: x**(1575\/1196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 425660.4 litres to millilitres.\nAnswer: 425660400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -0.7, 11, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 501, 506, 511, 516, 521?\n\"Answer: 5*k + 496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (2*-1*sqrt(33) - sqrt(33))\/sqrt(11))**2.\nAnswer: 12*sqrt(3) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36625104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 6*u**2 - 96*u - 69. List the prime factors of x(-20).\nAnswer: 3, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 16, 5, -18, -59, -124, -219, -350?\n\"Answer: -z**3 - 4*z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -240*h - 51*h**2 + 73*h**3 - 150*h**3 - 192 + 74*h**3.\nAnswer: -3*(h + 1)*(h + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b7 + -3?\nAnswer: 1b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + (-33)\/(11\/1))\/(10 + -24)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 97 and 3220497?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 81*p**2 + 3*p. Let t(n) be the second derivative of n**3\/6 + 2626*n. What is i(t(g))?\nAnswer: 81*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(192))*-5 - (sqrt(192) + (-1*sqrt(192) - sqrt(192)) + -4)**2.\nAnswer: -203 - 104*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 15*q**2 + 168*q - 18. What is z(-24)?\nAnswer: 1134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -8\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3570917\/3312 - 24818\/23. Find the common denominator of 53\/3 and q.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 1 + (-12)\/54. Let j = 2 - -6. Let g = -10 + j. Sort g, 5, r in decreasing order.\nAnswer: 5, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/20)\/(8 + 10). Let u(h) be the third derivative of 0 - y*h**5 + 1\/8*h**4 + 3*h**2 + 0*h + 0*h**3. Find the second derivative of u(p) wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -696, 0.2, -3, -0.4?\nAnswer: -696","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + (sqrt(208) + (sqrt(208)*-1 + 3 - sqrt(208)) - (-3 + -2*sqrt(208)) - ((sqrt(208) + 2*sqrt(208))*-2 + 5))**2).\nAnswer: -20384 - 112*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 12035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1379910429 rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 153\/(-63))*10 - 4\/14. Let g be 1*(-1 - -1*4). Suppose -455 = -f*r - 3*x, 568 = -3*r + 8*r + g*x. What are the prime factors of r?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 90*i - 79*i. Suppose 3*r = 5*a + 15, 2*a = 2*r + 5 - 15. What is the derivative of a*v + 0*v + 51 - 11*v**i - 35 wrt v?\nAnswer: -33*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {v: 9, n: 2, i: 5}?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.868 and 14.\nAnswer: -12.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.92 - -0.1. Let p = r + 0.8116. Round p to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 4 - 12 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/24 + 7062\/24. Let d be (-1)\/(5 - g\/60). Let z(r) = -2*r**3 - 19*r**2 + 8*r - 9. What are the prime factors of z(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + 18. Let u = -23 + j. Let y = 1 + -2. Which is the nearest to u? (a) y (b) -0.3 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**3\/3 + s**2 + s + 3. Give g(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24\/13? (a) 0.12 (b) -1\/2 (c) -0.1 (d) 92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -24*s. Let y be t(-2). Suppose 41*j = 42*j - 8. Suppose -12*o = -j*o - y. Solve 0 = 3*a + a + o for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by 6.\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -103.357 + 0.397. Let o = 101 + f. What is o rounded to 1 decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, l: 4, q: 1, o: 2, t: 3, j: 3}. What is prob of sequence sooq?\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 2. Let d(h) = 3*h - 7. Let c(o) = 4*d(o) + 14*q(o). Let t(b) = b. Determine c(t(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127 divided by 102815.\nAnswer: -127\/102815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*a - 4*t - 1, 2*t = 0. Let i = -1 - a. Is i <= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -4*p + 332, 0*k + 226 = 2*k + 5*p. Suppose 0 = -4*h - 4*q + k, -2*h + q + 0*q + 45 = 0. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 7*s**2 - 5*s - 16. Let m be n(-7). Find the second derivative of m*t**2 - 18*t**2 + 7*t**2 - 16*t wrt t.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 12:17 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1302 or -1312?\nAnswer: -1302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v. Let o(m) = m. Let s(q) = 2*f(q) + 5*o(q). Let g(k) be the first derivative of -7*k**3\/3 - 17. Give g(s(t)).\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*o - 4*l + 19 = 0, 5*o = l + 74. Suppose -t + 2*s + 34 = -s, -4*s - 74 = -2*t. Calculate the remainder when t is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 5 = 5*g + 3*i, 2*g - i + 9 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + u + 2 + 3)*(286*u - 68*u + 97*u).\nAnswer: 315*u**2 + 315*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -23*s - 4. Let t be k(-3). Suppose -27*r = -28*r. Suppose 9*m = -r*m + 234. Calculate the highest common factor of t and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -8*v + 220. What is the highest common factor of v and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 20 = o + 2*p, -2*o + 2*p - 10 = 0. Let v = o + 2. Let l = -2 + v. Let u(r) = r**2 + 5*r - 4. Give u(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zdltozlttllr. What is prob of sequence rldt?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4258.86991 take away 66.365?\nAnswer: -4325.23491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*q + 0*q + q)*(-q + 2*q - 2*q) + 3*q**2 + 5*q**2 - 5*q**2.\nAnswer: 5*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 9*m**2 + 6*m + 5. What is the smallest common multiple of 22 and v(-4)?\nAnswer: 2750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*o = -47786 + 141596. Solve o*l = 791*l - 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 31. What is the smallest common multiple of 48 and p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 1) + (3 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.44 + -0.4. Let g = d + 0.162. Round g to two dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24194 minus -24?\nAnswer: 24218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 202, -257, 2\/3, -2\/7 in ascending order.\nAnswer: -257, -2\/7, 2\/3, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s - 10 + 10 + 24*s.\nAnswer: 33*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 5*s**4 - 29*s - 53. What is the first derivative of l(j) wrt j?\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = r + 24. What is the remainder when r is divided by (-4)\/(72\/45)*8\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2166 - -3782. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**7\/20160 - v**6\/576 + 5*v**5\/192 + v**4\/24 - 17*v**3\/3 + 166*v**2. Let p(d) be the second derivative of c(d). Factor p(g).\nAnswer: (g - 5)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193768 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 64 - 77 = 0. Let i = a - -50. Differentiate -3 + 29*s**4 - 9*s**4 - i*s**2 + 3*s**2 with respect to s.\nAnswer: 80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-2\/7))\/q**(1\/4))\/(q**4*q\/(q\/q**28)*q) assuming q is positive.\nAnswer: q**(-895\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.1 in -0.1, -1\/6, -4, 0.5, -21?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 8. Let a be c\/(-18)*(-21)\/(-70). Is a equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 1:19 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -153821 divided by -30?\nAnswer: 153821\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-9))\/(50 + -49) + 147\/(-630)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) -2\/17 (c) 1\/5 (d) -0.07 (e) 295\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -79, -182, -325?\nAnswer: -508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-4)*-2*-6. Suppose -n*m - 40 = -u - 4*u, -3*m = -3*u + 30. Let s be -4 - 28\/(-4) - 1*-2. Solve 3 = -k, -31 = u*v - v + s*k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9798)\/115 - 561\/(-1785)*7?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0291931 rounded to three dps?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3 + 3 + 32*w**2 + 52*w**2. Let b(u) = u. Give b(h(k)).\nAnswer: 84*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 242574 to the power of 1\/2, to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-46 + 8 + 11)*(-8*l**4 + 39 - 39) in the form y*l**3 + z*l + t*l**2 + n + q*l**4 and give q.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -1) + (-68 - -79).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 537.9999463 + -538. Round y to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 155*g = -0*c + 151*g + 7, -c = 4*g + 13 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -312.99673 to the nearest ten.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 909*g + 906*g - 1816*g. Let f(c) = -c - 3. Let p be f(-7). Let d(z) = -3*z**2 + 0*z**2 + p*z**2. Calculate x(d(w)).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y - 4. Let l be (-4 - 1)\/((-2)\/(-4)). Let g = -14 - l. Let u be q(g). Solve 0 = 4*s + 12, 3*s = -5*r - u*s - 9 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4191.27 kilometers?\nAnswer: 4191270000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1975, -1, 2, 0 in descending order.\nAnswer: 1975, 4, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*1)\/((-6)\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*n - 590 + 590 as y*n + h and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1058*-0.07\nAnswer: -74.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1211 + 1021. Let d = r + 189.8. Let w be ((-34)\/3 + 1)*-3. What is the closest to w in d, -2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -670 - -669.6. Sort -4, -2, r, 0.4.\nAnswer: -4, -2, r, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 2*q + 4*q)*(0*q**2 + 0*q**2 + 12*q**2) + 8*q**3 + 13*q - 13*q.\nAnswer: 44*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(-12)\/8 + 2. Let k be -72998 + ((-8)\/(-4))\/x. Round k to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-4)*2 + -2 + 4. Suppose 145 + g = 5*c. Suppose 5*x + 45 = 2*s, 5*s - 35 = 3*x + c. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c**(1\/7)*c)\/c)\/c)\/(c**(-6)*c))\/(c**(3\/2)*c**(-2\/33)*c) assuming c is positive.\nAnswer: c**(1249\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4b + -70a5?\nAnswer: -7057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -w**6\/12 + w**5\/10 + w**4\/4 + 89. Factor r(m).\nAnswer: -m**3*(m - 2)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 12:05 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 4) to base 12.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 850048. Let q(b) = -4*b. Determine y(q(i)).\nAnswer: -16*i**2 - 850048","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -x**4\/12 - 158*x. Let t(a) be the first derivative of -11*a**2\/2 - 2*a + 60. Calculate t(k(m)).\nAnswer: 11*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*x - 25 = 71*x + 5*z, -23*x = -3*z + z + 115 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 29*o - 40. Calculate the remainder when 108 is divided by z(-31).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 4. Let u = -2\/49 + -29\/490. What is the second smallest value in k, u, -4\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 262 + -259. What is the nearest to -1 in p, 1, -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1056469, 4, -10.\nAnswer: -1056469, -10, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4692\/(-170)*70\/(-42)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.02396*105.\nAnswer: -107.5158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -12*u**4 + 3*u**2 - 5*u + 3. Let a(g) = -13*g**4 + 4*g**2 - 4*g + 4. Let h(r) = -3*a(r) + 4*j(r). Find the second derivative of h(w) wrt w.\nAnswer: -108*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 4*n**4\/5 - 58*n**3\/5 + 224*n**2\/5 - 98*n\/5 = 0.\nAnswer: 0, 1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 248163966 to the nearest integer?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58703 and 5029.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3699651 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppoompw. What is prob of sequence wm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -18*a**3 + 5*a + 14. Let y(j) = -20*j**3 + 5*j + 13. Let p(t) = 5*i(t) - 4*y(t). Calculate the remainder when p(-2) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2822*o**3 + 7916.\nAnswer: -8466*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a meter in millimeters?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52304 is divided by 872.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-4)*5\/(1575\/(-10)). Let l = -1205\/4 - -302. Which is the nearest to 0.1? (a) 2 (b) i (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26630249?\nAnswer: 127, 209687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -592384*r. Let c(x) = 5*x. Calculate c(q(a)).\nAnswer: -2961920*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -361 or -5059\/14?\nAnswer: -5059\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-26) - (-930)\/(-39). Let u = 40 + j. Suppose 0 = 2*k - 2*f - u, 4*k = 5*k + 4*f + 12. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390 = 10*r - 25*r. What is the remainder when 98 is divided by r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -713, -720, -731, -746?\nAnswer: -765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 129*g*j**3 - 45*g*j**2 + 3*g*j + 2*g - 6*j**3 - 33*j**2 - 1142829*j wrt j.\nAnswer: 774*g*j - 90*g - 36*j - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.00048661872 + -31.99951469128. Let w = -32.59 + 0.59. Let r = w - h. Round r to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*c**3 - 13*c**3 - 3*c**3 - 4*c**3.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1047393, 1047371, 1047349, 1047327?\nAnswer: 1047305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -5 - 3)*25. Let r = 30572 - 30569. Is h less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56.2 times 0.1\nAnswer: -5.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 times 1400?\nAnswer: 166600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 8*h + 7. Let o be v(-11). Suppose o = -2*x + 10*x. Find the third derivative of -3*b**2 + 9*b**5 - 31*b**x - 13*b**2 wrt b.\nAnswer: -1320*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -a**6\/360 + 11*a**5\/120 - a**4\/2 + a**3\/3 - 2. Let t(w) be the third derivative of b(w). What is the tens digit of t(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15348195 to the power of 1\/3, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -1901 + 1901 - 19*a as y*a + g and give y.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*a + 0*g + 171 = 5*g, 3*g - 96 = -a - 55 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 12:58 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -33, -3 in decreasing order.\nAnswer: -3, -15, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**2 + 21*n - 9. Calculate x(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -9. Suppose 3*m - 13 = 5*u, 2*u = -m - 73 + 70. Put p, 2, m, 15 in decreasing order.\nAnswer: 15, 2, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9570373957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -46784648119?\nAnswer: 46784648115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 85721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 6*h**2 + 3*h + 2. Let s be r(-5). Let t(m) = m**3 - 12*m**2 - 2*m + 14. What is the common denominator of t(s) and (0 + -2)*(-15)\/(-11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**3 + 129*a**2 - 3*a - 25. Does 9 divide y(-43)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-594 - 181*s + 284 + 303)*(0*s - s - s).\nAnswer: 362*s**2 + 14*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/8043 in 49, 30, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3035 = 146*a - 21*a + 160 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -25013, -99817, -224491, -399035, -623449, -897733?\n\"Answer: -24935*w**2 + w - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 3*w**2. Let m be 4\/14 + (-57)\/(-21). Give t(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/5 (b) -0.144 (c) 4 (d) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**4\/24 + 3*c**3\/2 - 2*c**2 + 2. Give v(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 20 - 0. Suppose 5*w - 549 = c + 2*c, -3*w = g*c - 341. Suppose 2*s + w = 5*n + 3*s, 0 = -n + 2*s + 31. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -36*l + 47950. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 40*l**2 - 24*l - 2817. Determine u(-38).\nAnswer: 983","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of s**3 - 3*s**4 + 212*s**2 + 5*s**3 - 31*s - 212*s**2. Find the second derivative of y(b) wrt b.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 3*p**2 + p + 27. Give o(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55*d**5 - 5*d**4 + 439*d**3 + 36323*d**2 + 2.\nAnswer: -3300*d**2 - 120*d + 2634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 461927 and 1214?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/44880 and -77\/263160.\nAnswer: 5789520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1435920 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1332504888 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 1011010?\nAnswer: -1010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 823 less than -196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -81 + 84. Suppose -x*u + 763 = 4*u. What are the prime factors of u?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2733 - -2736. Solve 4*k = 0, -4*n - 3 - 1 = -t*k for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**3 + 20*n**2 - 29*n - 6. Determine i(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvuf when four letters picked without replacement from {b: 1, v: 2, s: 1, f: 12, u: 1, z: 3}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 3\/29, -3, 11, -1\/3, -5\/3 in ascending order.\nAnswer: -3, -5\/3, -1\/3, 3\/29, 0.5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/120 and -58\/1311?\nAnswer: 52440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i - 65 = 23 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 204\/2142*246\/26 - 4*13\/182?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4830364 and 37422.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -467 (base 8) in base 13?\nAnswer: -1ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 6*h - 22. Let o be h - 4 - (-31)\/30. Is o bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -480 + 486. Let t(b) = b**3 - 8*b**2 + 11*b. Calculate t(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 2, n: 3, g: 4}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 0.5, 49 in descending order.\nAnswer: 49, 0.5, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 6 (b) 3 (c) -2\/3 (d) -1\/10 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(135\/(-6)))\/((7084\/(-165))\/14).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 212.5979 weeks in nanoseconds?\nAnswer: 128579209920000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -503 + 712. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q = 13*q - 5*o - 829010, -q + 3*o = 828994. What is q rounded to the nearest ten thousand?\nAnswer: -830000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.151 in 0.4, -5\/3, -1\/7, -3\/8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53282 is divided by 96.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 13*r + 936 = 0. Suppose 479*d = 483*d - r. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*a = 100, 110 = -2*x - 5*a + 10. Let s = x - -130. Let b be (-2)\/(-5) + 474\/15. Calculate the highest common factor of s and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 78, -0.09, 1, -3.1, 4, 0.5, 1\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3380231 and 15235?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*j**2 + j**3 - 18*j**2 + 571*j - 571*j.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a2cb (base 15) to base 8.\nAnswer: -103127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/3, 3\/2, 2\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3305 - -11054?\nAnswer: 4446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 4. Let s be (15 + (-312)\/20)*-15. What is h(s)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*t - 2, -b + 3*t - t = 1. Suppose b*a = -a. Let c be 1\/(-2 + 3\/2). Sort a, 3, c in ascending order.\nAnswer: c, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -8. Suppose n - c - z = 0, -3*c = n - 0*c + 1. What is the third derivative of 5*p**n - 34*p + 34*p - 4*p**6 wrt p?\nAnswer: -480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 7:52 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 - 4 + 3 + 1 to h*m**2 + k*m + d and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.074 and -1.9.\nAnswer: -0.1406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + -2)**2 + -4 + (sqrt(162) - (-2 + sqrt(162) + 0)) - (0 + 0 + sqrt(162) + sqrt(162) + -3 + 1)**2.\nAnswer: -488 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(2) - (-3 + 1*sqrt(2))) + 1 + 1*sqrt(6)\/sqrt(3)*-2*6)**2*2.\nAnswer: -192*sqrt(2) + 608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 8 = 5*m - d, 20 = -5*m - 5*d. Suppose t - 2 = 1. Is m less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -z - 2404, -7*b = -3*b - z - 3206. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*b + 0*b + 19*b + 17*b.\nAnswer: -27*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001326428145 rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 24329791.\nAnswer: 7298937.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3)*14 - 8\/(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 1 + 0 + 0. Suppose -s = 3*p - 4*d - 77, 0 = -2*p + 4*d + 52. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q + 31. Calculate u(8).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-5)\/(-35))\/((-20)\/(-538860)).\nAnswer: 3, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*v - 4*v + v**2 - 6*v - 2*v**2.\nAnswer: -v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 772758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 22613482.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 746228308 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28090 and 1166?\nAnswer: 308990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10.04 + 10. Let y = -0.03927 - f. What is y rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 168700267 to the nearest integer?\nAnswer: 12988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54 - 52) + (-2 - 1) + 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.5 times -0.09?\nAnswer: 0.495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/4 (b) 2\/9 (c) 3\/8 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15792771 rounded to the nearest 100000?\nAnswer: -15800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18469751 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27905 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.052 + 29.052. Let i = 29.2 - o. Which is greater: i or -10?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 5) to base 4.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/36 + (-43)\/(-9). Let l(t) = 3*t - 7 + 2 + m. Let s(b) = -b**2. Calculate l(s(w)).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 118*r**2 + 6 - 4*r - 115*r**2 - 6*r. Let w be m(3). Solve 2*q = 3*j - w, 4*j + 0*q - 8 = 4*q for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3655 - 625?\nAnswer: -4280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*h - 22*h - 19*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 482*a - 514*a - 1091*a - 1556*a to d + f*a and give f.\nAnswer: -2679","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -1 - 11. Let s be 3\/w*2\/(-9). Is s less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3060.7 to the nearest ten.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + -6 - 5) + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1735*q*s**2 - 564172*q - s**2 + 29*s wrt s.\nAnswer: -3470*q*s - 2*s + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 171\/41650, -3 in ascending order.\nAnswer: -3, 171\/41650, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-10))\/(h*h**(-24\/11)*h) assuming h is positive.\nAnswer: h**(-97\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**5\/5 + 374*m**4\/5 + 3534*m**3 + 17298*m**2\/5 = 0. Calculate m.\nAnswer: -93, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 71*h - 953. Let c be m(15). What is the greatest common divisor of c and 1484?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82533 is divided by 4519.\nAnswer: 1191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.7 + -0.3. Let x = 4.6 + r. What is the nearest to 2\/9 in 1\/5, x, 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.494 - -0.47. Let o = -0.524 - d. Suppose 4*a - 7 = 5*a + 3*v, 3*a = v + 9. What is the biggest value in o, 5, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.07 + 0.02. Let d = 4 + -3.75. Let h = d - r. Which is the nearest to 0.1? (a) 1\/10 (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17074100 rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k**4*m - 3*k**3 + 29*k**2*m**2 + m**2 + 89*m wrt k.\nAnswer: -4*k**3*m - 9*k**2 + 58*k*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 572857028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 1405072\nAnswer: -1405075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83159*w - 83213*w + 166299*w.\nAnswer: -73*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + 60. Suppose 95 = 2*a + 3*a. Suppose -a*y + 14*y = -x. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (188*u - 118*u + 48*u)*(8*u**3 - 6*u**3 + 0*u**3).\nAnswer: 236*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 y when three letters picked without replacement from {t: 2, y: 11, v: 2}?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 1:21 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16354233.\nAnswer: 3, 7, 43, 6037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + sqrt(147).\nAnswer: 4 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 8 = -3*g. What is the second smallest value in -5, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 146*1 + 10\/(-5). Suppose -l = -3*c - 24. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqqrqqrq. What is prob of sequence rq?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(150) - sqrt(150)*-2 - sqrt(150)) + sqrt(150))\/sqrt(5))\/(sqrt(100)\/sqrt(40)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -145, -5, -1, -33, 1.\nAnswer: -145, -33, -5, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d**2 + 1. Let p be z(1). Suppose -11 + 186 = -p*c. What are the prime factors of (-1976)\/(-10) - (2 - c\/(-25))?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -3, 6, 336, -5 in increasing order.\nAnswer: -5, -3, 0, 4, 6, 336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 - 52 + 14*f**3 + 118.\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32464 is divided by 16230?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 16 - 11353*n**3 - 9370*n**3 - 2311*n**3.\nAnswer: -23034*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.43 - 0.26. Let o = l + -0.07. What is the third smallest value in -1\/5, -3\/7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 5, s: 13}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -528, -454, -378, -300?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 13*x + 11. Let s be t(14). What is the nearest to -0.2 in -1\/4, s, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 3*x**2 + 2*x - 4. Let i be y(-4). Suppose 3*v - b = 5*v - 5791, -i*b = v - 2913. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 6\/11 (c) -3 (d) 6300\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -129 divided by 662\nAnswer: -129\/662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 840878 is divided by 124?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -3*f**4\/4 - f**3\/2 + 3*f**2. Is t(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-39))\/((-3)\/36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 83, 1, 3 in increasing order.\nAnswer: -4, 1, 3, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 136*f + 820. Calculate the least common multiple of 90 and y(-6).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -3413*o**5\/60 + 2912*o**3\/3 + 995*o**2. Find the first derivative of p(k) wrt k.\nAnswer: -6826*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p**3 + 6*p**2 - 2*p + 7. Let v(f) be the first derivative of -9*f**4\/4 + 11*f**3\/3 - 2*f**2 + 13*f + 877. Calculate 11*u(k) - 6*v(k).\nAnswer: 10*k**3 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {x: 8, a: 5}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 + 49615.13.\nAnswer: 49615.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k - 5*k + 2*k)*(5964 - 3370 - 3488)*(-4 + 2 + 0) + (-2 + 0 - 1)*(-k + 2 - 2) to o*k + d and give o.\nAnswer: -1785","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-25 - 1 - -17).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 23 - 72. Let w = -16 + z. Solve -c - 7 = -w for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8200?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 211 + -81. What is the units digit of (-5 - n\/(-30))\/(4\/(-9090))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -111 + 9. Let f = -66 - d. Suppose -4*z = 4, -4*t - 4*z + 17 = -5*z. Calculate the highest common divisor of t and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -106 - -83. Let y = 14 - f. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, o: 3, z: 1, l: 2}. What is prob of picking 2 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o - 31*o + 11*o + 13*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190*t = -181*t - 18. Let w be (1 - 1)*-1*-1. Suppose t*z + w = 3*n - 486, 9 = 3*z. Does 41 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*o - 123 + 373 = 0 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 1\/9 (c) 1\/13 (d) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 6844309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23408 and 70642.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6\/48*3*(-4)\/6\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + v = 7, -4*y + 3*v - 1 = -9*y. Suppose -k + 16 = 2*c, k - 22 = -3*c + y. Suppose -4*q + 4*p = -7*q + c, -q - 4*p + 8 = 0. Solve g + q = 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 + (-99)\/60 + -3 and 95\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 925 less than 918?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1258156775 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96160*d - 96119*d = 1517 for d.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105 - 3125?\nAnswer: -3234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145828?\nAnswer: 2, 36457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -467, -10.\nAnswer: -467, -10, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 7*z**2 - 6*z - 11. Let q be y(8). Let j(v) = v**3 - 6*v**2 + 6*v - 5. Let g be j(q). Suppose 27*l - 32*l = g. Solve 3*r + 2*r + 25 = l for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/4 of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -1232*k + 7270. Calculate v(5).\nAnswer: 1110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1558.137766 to one dp.\nAnswer: 1558.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16 + -1 - (3 + 0). Solve -10*r - 2 = -b*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*x + 149 = 5*a, 0 = 3*x - 3. Calculate the remainder when a is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -5. Let d be ((-2)\/6 - 1) + 1. Let w = -5666 + 5666. What is the closest to v in -4, d, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 5, -6\/89?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cckkwkkw. Give prob of sequence cc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -428*a**3\/9 + 115282*a**2\/9 - 13450*a\/3.\nAnswer: -2*a*(a - 269)*(214*a - 75)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z. Let m(b) = 44*b + 5. Give h(m(v)).\nAnswer: -88*v - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 13*j + 4. Let d(i) = i**2 - 103*i + 833. Let v be d(9). What is b(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14444040 + 1?\nAnswer: 14444041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4 + 30*g - 31*g - 5. Let u(z) = 4*z - 4. Let m(b) = -2*a(b) - u(b). Give m(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*c = -s + 119, -2*c - 134 = -s. Suppose -5*l = -s - 11. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-144)\/28 + 1 - 2 and (-12)\/3 - (-1)\/(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {w: 1, j: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 1)*(-2*b**2 + 5 - 5) - 6*b**2 - 20*b**2 - 20*b**2 - 31 + 31 - 30*b**2 as n*b**2 + h*b + w and give n.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 5*m**4\/24 - 3*m**3\/2 + 9*m**2\/4 + 9*m\/2 + 906. Find j, given that u(j) = 0.\nAnswer: -3\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - 1 + 1)*(1 - 1 - 1)*(2 + 1 + 15)*(22 + 3 - 6)*(0 + 3 - 2).\nAnswer: -1026*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 175878 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q + 12*q + 12*q + 7*q - 29*q.\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50 - -204. List the prime factors of r.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.09 - 0.06. Let c = -4.15 - f. Let t = 1.1 + -0.8. What is the second smallest value in 3, t, c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 19*r - 27. Is m(-22) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65)\/39)\/((-50)\/(-180)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 2119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 14*l**4 + 283*l**2 + 4*l - 24. Let h(k) = -2*k**4 - k**2 + k + 7. Let a(r) = f(r) + 6*h(r). What is the second derivative of a(v) wrt v?\nAnswer: 24*v**2 + 554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 16*o - 12. Let k(f) = 258*f. Calculate k(l(z)).\nAnswer: 4128*z - 3096","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 12:03 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 191*k*t**3 + 8*k*t**2 - 5*k*t - 8*k + 7*t**3 + t**2 - 40*t - 30 wrt t.\nAnswer: 1146*k*t + 16*k + 42*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 8:01 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41640143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1946410?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 0*v**2 + v - 1\/285*v**6 - 2\/57*v**4 - 11 + 0*v**3 - 1\/38*v**5. Determine t so that s(t) = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, s: 1, e: 1, q: 1, w: 4}. What is prob of picking 3 w and 1 s?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 3. Let n be x(0). Let u be -1*1*(1 + -2)*n. Sort u, 1, -1.\nAnswer: -1, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 12, v: 7}. Give prob of sequence ssvv.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, y: 1, n: 1, i: 1, v: 2, o: 1}. Give prob of sequence dn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - 14. Suppose -4*m + 50 - r = 0. Let n = 14 - -11. What is the highest common divisor of m and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 19*r**2 + 30*r + 61. Let g(x) = -11*x**2 - 15*x - 30. Let a(c) = 7*g(c) + 4*k(c). Factor a(s).\nAnswer: -(s - 17)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9.78 in 6, 7.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 354455, 354363, 354295, 354251?\nAnswer: 354231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3746718l to millilitres.\nAnswer: 374.6718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30231385 to the power of 1\/2, to the nearest integer?\nAnswer: 5498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) + -1)*-4)**2.\nAnswer: -256*sqrt(13) + 13328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -2\/13, -0.066, -4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 - 7211.991?\nAnswer: -7211.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*m - 955 = -4*n, 4*m + 2*n - 764 = 0. Suppose 5*k + 340 = -275. Let d = m + k. What are the prime factors of d?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 111.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 724363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, p: 2, h: 2, u: 2, c: 2, j: 3}. Give prob of picking 1 j and 2 c.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 0.18599156.\nAnswer: 0.55797468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (-6)\/15 - (-120)\/(-200). Solve 3*s = 2*m + m, -4*s - 20 = y for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7824 + 7825. Let x(w) be the third derivative of 2*w**4\/3 + w**3\/6 + 3*w**2. Give x(r).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24481922?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1869201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 0.2, 5, -212?\nAnswer: -212","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o - 57. Let y(h) = 4*h**2. Let x be y(-1). Suppose -4*g + 16 = 2*z, 0*z - 2*z = -x*g + 32. Calculate the remainder when f(17) is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 take away -384?\nAnswer: 383.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 19204 - 33605 = 0. List the prime factors of p.\nAnswer: 29, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -f**2 - 9. Let o(s) be the first derivative of -5*s**2\/2 + 222. Calculate b(o(d)).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 113?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81 divided by 5.\nAnswer: -81\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -779021 less than 443?\nAnswer: 779464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d**2 + d + 3. Give c(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 842*t + 17. Calculate c(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g**2 + g + 2. Let y(x) = -7*x**2 - 2*x - 4. What is 5*l(b) + 3*y(b)?\nAnswer: -b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64.12 - 64. Let d = 2.12 - l. What is the second biggest value in -7, d, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3635 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 191*h*k**6 + 2*h*k**5 - h*k**2 + 2*h*k - 2*k**3 - k**2 + 132 wrt k.\nAnswer: 22920*h*k**3 + 120*h*k**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(72) + sqrt(72) + -6*(-1*sqrt(72) + sqrt(72) - sqrt(72)) + sqrt(72))\/sqrt(9))\/((sqrt(24) - (sqrt(24) + 1*sqrt(24)))\/sqrt(6) - sqrt(256)*1).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, n: 1, r: 3, q: 4, w: 2, z: 3}. Give prob of picking 1 n and 2 b.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**7\/175 + w**6\/75 + w**5\/150 - w**2 - 2*w. Let n(y) be the first derivative of f(y). Determine j so that n(j) = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16466 - -16514. Solve -w + 3*f = -q + 52, f - 10 = -4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 770684 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-3*((-2 + 0 + sqrt(432) - sqrt(432)) + -1 + sqrt(432) + -1)**2.\nAnswer: -576*sqrt(3) + 2688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 521783308 to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 8*i**2 - 13*i + 8. What is h(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**2 + 761624*s - 36254444836 = 0. What is s?\nAnswer: 95203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14\/(-14))\/(4\/(-24)). Solve v = 5*a + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 5*l, -4*b + 5*l = -29 + 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.1, 14, -0.4, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-1 + (-2)\/(-4)). Suppose 5*f - 18 = -d, -5*d - f + 9 = -3*f. Suppose -753 = d*j - 777. Solve s + s + 5*v = -j, m*s - v - 4 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58485163 is divided by 149.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 37.5 times -2099\nAnswer: -78712.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**3 - r**2 - r - 2. Let j(s) = 4*s + 8. Let g be j(3). Let m be g\/(-8)*24\/(-20). Is a(m) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 38. Suppose -u - 64 = -3*r. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(20\/(-4) + (7 - 608\/312))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-5*(((sqrt(48)*-2 + sqrt(48) + sqrt(48))\/sqrt(4) - sqrt(12)) + (sqrt(12) - (sqrt(1200) + -2*sqrt(1200) - sqrt(12))))\/((sqrt(144)*1 + sqrt(144))*-6).\nAnswer: -55*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1404 - -62?\nAnswer: 1466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 p when four letters picked without replacement from {v: 2, e: 5, m: 2, x: 3, p: 2, w: 2}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/2 of a year?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -687*q - 111720 = 572*q + 571*q - 234*q for q.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 5\/3, -2\/585873 in decreasing order.\nAnswer: 5\/3, 1\/5, -2\/585873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2719 and 0.2.\nAnswer: -543.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210110 (base 3) to base 7.\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 7:19 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 233894013 a multiple of 729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-30)\/84)\/5)\/(2\/12).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**2 + 3 + 10 + 134*y**3 - y**2 - 4*y**2.\nAnswer: 134*y**3 - 2*y**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/24800 and -97\/27280.\nAnswer: 272800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = x - 913, 0 = -0*x + x - 4*t - 897. Suppose -4*r - r + x = 4*j, -5*j = -r + 181. List the prime factors of r.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -6.4. Let r = m - -158.6. Let o = 156.9999937 - r. Round o to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*z - 318*z = -2703 - 1107 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-218))\/(-45*(-15)\/(-675)).\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011101001010000010 + 0?\nAnswer: 10011101001010000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 173 - 172. Sort 3, w, 23 in decreasing order.\nAnswer: 23, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 9*o - 9. Let g be f(-6). Let h = g + -4. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/527604 and 49\/1253916?\nAnswer: 96551532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(245))**2*2 + 2).\nAnswer: 1968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-2 - -1) - -5. Suppose f = 4*k - 4. Suppose 3*u = -4*x + 12, -2*x + 4 = 5*u - 2. Put x, k, 4 in decreasing order.\nAnswer: 4, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/2)\/(-33 - 1603\/(-49)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g - 40 = -3*d, 3*d - 5*g - 37 = 0. Let u(o) = o**2 - 11*o - 36. List the prime factors of u(d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28298?\nAnswer: 2, 14149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 33\/(-11) + (14 - 4) + -5. Is u at most as big as 13\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20823, 25003, 29183?\nAnswer: 33363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7260)*-4 - sqrt(540)\/(1*sqrt(9)))\/(sqrt(12) + sqrt(12) + (sqrt(12) - -1*sqrt(1452)) - (sqrt(300)*2 + sqrt(12))).\nAnswer: -15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 14, k: 5}. What is prob of picking 3 k and 1 x?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -10. Is -2 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1646\/(-354) - (-27)\/(972\/24)\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -12*z**4 - 12*z**2 + 290*z - 4. Let y(l) = -3*l**2 - 1. Let i(d) = a(d) - 4*y(d). Find the second derivative of i(o) wrt o.\nAnswer: -144*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/22 - 49\/110. Let o = 17.19 + -0.19. Let x = o + -12. Which is the second biggest value? (a) v (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 0 + 1\/6*r**4 - 1\/2*r**2 + 0*r**3 - 2\/5*r**5 - 17*r. Let j = -2 + 3. Calculate t(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.12 - 0.12. What is the biggest value in -20, 0, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeeh when four letters picked without replacement from {m: 1, e: 9, q: 1, h: 1}?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**3 + 36*y**2 + 2*y - 129 wrt y?\nAnswer: 12*y + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/6039 and 1\/6588.\nAnswer: 72468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 895 is divided by 447?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 600aa1491 + 5?\nAnswer: 600aa1496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2730 and 945?\nAnswer: 24570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/4 of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 2:12 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 727 - 682. Suppose w*l = 5*n + 48*l - 21, 1 = 3*n - 4*l. Let 400 + 12*y**2 + 120*y + 2\/5*y**n = 0. Calculate y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15223465 rounded to four decimal places?\nAnswer: 0.1522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11130 + -537149304.\nAnswer: -537138174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15.8 - 10.4. Let q = f - -20. Let a = q - -6.2000135. Round a to six decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13)\/3 + (-4)\/6. Let q be -4 - -1 - 17\/(-7). Sort -1\/5, i, q in descending order.\nAnswer: -1\/5, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 59*c**2 - 598*c + 27627. Determine w(57).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -918330 and -17.\nAnswer: 15611610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -10, 70, 210?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 38 - (-6)\/(-4 - -1). What is the greatest common factor of v and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 78048 and 288?\nAnswer: 78048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35836 - 5519. Is 71 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l**2 + 0*l**2 - 6*l**2)*(0*l - l + 3*l)*(6*l + 7*l + 3*l) as m + q*l**3 + y*l**4 + h*l + j*l**2 and give y.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 9*i**2\/2 + 75*i + 71. Let h be l(-12). Suppose 2*g - 136 = 6*g. Is h equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*u + 5, -10*i = -11*i - 3*u - 5. Solve n - i - 1 = -2*s, 2*n + s = 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8589998 is divided by 16810.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**3 - 4*k**3 + 6*k**3 - 132 - 7*k**3 to the form y*k**3 + d*k**2 + i + l*k and give i.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 80 - 35 = 5*r, -3*c - 51 = -3*r for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 185 = -4*w. List the prime factors of w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 33961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxcczcxczxcc. What is prob of picking 1 c and 2 z?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*q + 45*q - 34986211 + 12792621 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.15, 1\/2, 0.1, 34\/5?\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -23\/254 (b) 4 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 + 2*b - 8. Give a(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 5*h + 6. Let p = h - 11. Let d = 43 + p. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*-51\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 40678?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1042094230.\nAnswer: 2, 5, 104209423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 13*f - 112. Calculate b(-19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*y**4 + y**3 + 0*y**2 + 0*y + 0.\nAnswer: -y**3*(y - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 411 + -1221430?\nAnswer: -1221015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.8615 - 0.029\nAnswer: -0.8905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1 + (-4 - 1 + 4)*(-1 - 2 + 2) - 1 + 1 + 2)*(1 + 2 - 1 + (2 - 3 - 1)*(1 - 2 + 3) + 33 - 8 - 7)*(2 + 4*v - 2) + (-6 - 4 + 0)*(-v + v + 3*v).\nAnswer: 34*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((421590\/(-423))\/115)\/((-2)\/(-3))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -l**6\/24 - l**3\/6 + 4*l**2 + 13*l. Let f(i) be the first derivative of v(i). What is the first derivative of f(u) wrt u?\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(3) - (1 + sqrt(3))) + 1 + sqrt(3) + 5 - ((((sqrt(30) + sqrt(120)\/sqrt(4))\/sqrt(10))**2 - sqrt(3)) + sqrt(192)*1).\nAnswer: -6*sqrt(3) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 473473 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: Simplify 1 + 1*(sqrt(208)*-3 + 2 - (sqrt(208) + 1 + 1))**2.\nAnswer: 3329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67632 divided by 6.\nAnswer: 11272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 (base 5) in base 13?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73774320, -73774319, -73774318?\nAnswer: -73774317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3078456543 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51 - 35. Solve -q - x = 3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 4\/5*m**2 + 32\/5*m**4 + 0*m + 22\/5*m**3 + 14\/5*m**5 = 0. Calculate m.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 295*p*s - p + 5*s + 12 wrt s.\nAnswer: 295*p + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -g - 2*g. Suppose -4*b + g = -7. Suppose -b - 60 = -2*r. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1650\/(-77))\/(18\/(-63)). Solve 0 = 40*w - 165 - u for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-9) - 272\/(-72). Suppose 0 = -3*t + 2*w + 3*w + 22, 5*t + g*w - 86 = 0. What is the remainder when t + 4\/(-2 + 4) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.369 + -145.669. What is h rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7889.5 + 7889. Let z = -0.05 + 0. Let s = z - -4.05. Sort k, s, 4\/3.\nAnswer: k, 4\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-153)\/612 + (-41)\/(-20))*-5\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.2 times -71?\nAnswer: 369.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 214*b**2 - 6 + 85*b + 35*b - 28*b. Let t(i) = -431*i**2 - 183*i + 10. Let n(m) = 5*a(m) + 3*t(m). What is the second derivative of n(o) wrt o?\nAnswer: -446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2136206 + 2?\nAnswer: -2136204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2252\/9 + -250. Which is the biggest value? (a) 5 (b) u (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11274448 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 minutes are there between 9:04 AM and 1:04 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -1\/8 (c) 4 (d) 100 (e) 0.2 (f) -0.11 (g) 212\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a tonne in kilograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188314542 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 2*b + 1. Let m be v(-4). What is the first derivative of -m + 24*k**2 - 15 + 6*k**2 - 4*k**2 wrt k?\nAnswer: 52*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**2 - 8*x - 7. Let c be m(7). Suppose 5*t = -t + c. Suppose r = t + 5. List the prime factors of r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 512 is divided by 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k + 121 = -5*l + 26, -4*l = 3*k + 6 + 10 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5*(sqrt(6480) - (sqrt(6480) + 1 + sqrt(6480))))**2.\nAnswer: 3600*sqrt(5) + 162100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 204\/21 - (-10)\/35. What are the prime factors of t*5\/(50\/56)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*q - 5, -u + 5*u + 14 = 5*q. Suppose 2*t + 2*k - q = -2*t, 0 = t + k. Which is the third biggest value? (a) -16 (b) t (c) 2\/15 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 20 = -4*l, -18 = 4*l - 2. Suppose g*c = 179 + 55. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 203753 and 3113.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8692.98ml?\nAnswer: 8.69298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + s - 15. Let m be ((-10)\/s)\/((-2)\/(-3)). Solve m*o - 6 = 3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5102*15\nAnswer: 76530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.75 - -0.25. Sort 8\/15, q, -4 in decreasing order.\nAnswer: q, 8\/15, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 1\/8*k**4 + 0*k + 0 + 4*k**2 + 0*k**3. Let u(h) = 39*h. Determine u(s(a)).\nAnswer: 117*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - (0 - 1)\/(-1). Let z(j) be the third derivative of 0*j + 1\/120*j**6 - 1\/12*j**5 + 1\/3*j**r + 0 + 0*j**4 + j**2. Give z(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1752 and 0.07?\nAnswer: 122.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -622*q - 478*q - 377*q - 412*q + 370*q + 1 as m + n*q and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**4 - 124*m**3 - 1092*m**2 - 3620*m - 3800 = 0. What is m?\nAnswer: -19, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 divided by -18.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 58763249 minus 20136?\nAnswer: 58743113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -12*c + 4. Let o(y) = -y**2 - 13*y + 3. Let n(w) = 3*k(w) - 2*o(w). Let f be n(5). What are the prime factors of 3762\/54 + 2\/f?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13513.005558 + 13513. What is n rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 218843, 218916, 218989, 219062?\n\"Answer: 73*j + 218770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from whwmmbl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205053 - 20571 = -158*r. Is r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence naaj when four letters picked without replacement from {a: 3, j: 6, g: 1, n: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l**3 - 2*l**2 + 1. Let k(c) = 4*c**2 + 35*c**3 - 28*c**3 + 0 - 2. Determine 2*k(f) + 5*r(f).\nAnswer: -f**3 - 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 225179 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -601 - -746. Is s not equal to 146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 5*u**3\/3 - 2*u**2 + 16*u. Let s be m(1). Is 5 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 12*w - 15. What is the remainder when 129 is divided by k(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tttttrttrt.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 6*z - z. Suppose g = -v - 3*v, v - 3*g = -13. Let w = z + v. Solve 3*a - 4*a + 12 = 2*k, 2*a = -k + w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0 + -5 + 15 + -7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 5 - 11. Suppose -u + 12 = 4*n, 2*n = -5*u - v - 8. Solve 2*h + h - 20 = -n*r, 4*h = 2*r - 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -10*g**2 + 40*g - 7. Let j be h(6). Let f = j + 127. Which is greater: 1\/6 or f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, -0.1, -7, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1198*d - 1596 = -1200*d. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 11*w**2 + 9*w - 21. Let r be z(-10). Put -4, 3, -2, r in increasing order.\nAnswer: r, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69314663?\nAnswer: 11, 23, 273971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 23 + 13*g**2 - 7*g**2 - 5 - 27 to w*g + z*g**2 + a and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 11:27 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -761495 by 108785.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, k: 5, m: 1}. What is prob of picking 3 w and 1 m?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1266610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35 - -443?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 9*q - 8*q + q. Let d(s) be the second derivative of s**4\/2 - 22*s. Calculate u(d(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-11)\/(-33))\/(2\/12*8). Is x bigger than 202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -9 - 11. Suppose -4*i - 1 = -3*d + 8, 0 = 4*d + 5*i - 12. Calculate the smallest common multiple of (w\/4)\/((-5)\/20) and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 - 1766*t**2 - 19612*t - 50064.\nAnswer: 2*(t - 894)*(t + 4)*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2640411 (base 8) to base 3.\nAnswer: 1101110201111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1044.3 to the nearest 10.\nAnswer: -1040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 385 (b) 311 (c) 0.09 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6660 (base 15) in base 14?\nAnswer: -7c94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**13\/(x\/(x*x**(-6\/17)*x)))**32 assuming x is positive.\nAnswer: x**(7424\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4748*p**3 - 4739*p**3 - 4856*p**3 - 4744*p**3 + 19068*p**3.\nAnswer: -19*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1168 and 9344?\nAnswer: 9344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v*v**(2\/7)*v)*v\/(v**9*v)*(v*v\/(v\/(v\/(v**(-13)*v))))**(-17) assuming v is positive.\nAnswer: v**(-1738\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 + 3*q + 3. Let h(g) be the second derivative of 5*g**4\/6 - 7*g**3\/3 - 7*g**2 + 9*g. Calculate 6*h(s) + 28*l(s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 3619, 0.2, -2, -11, -4 in increasing order.\nAnswer: -11, -4, -2, 0.2, 0.5, 3619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114586, -229843, -345100, -460357, -575614?\nAnswer: -690871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**7\/14 - 5*q**4\/8 - 12*q**2. What is the second derivative of g(h) wrt h?\nAnswer: 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**3\/6 - 9*k**2\/2 + 7*k. Let q be r(-14). Find the second derivative of -3*m**5 + 4*m - 3*m + 10*m**q wrt m.\nAnswer: 140*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38.88 + -41. Let w = h + 50.72. Let i = w - 53. What is i rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 9:39 AM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6415672 is divided by 681?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64876c (base 13) to base 7.\nAnswer: 26031643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 5. Let s(y) = -5*y + 56. Give 3*h(u) - s(u).\nAnswer: 2*u - 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 - 8\/4 - -81?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 1678875?\nAnswer: 3357750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2656277915 to the power of 1\/2, to the nearest integer?\nAnswer: 51539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -500640*g + 479201 with respect to g.\nAnswer: -500640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 515 - 585 - (1 - 24) - (10 - 0)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -126*y**2 + 0*y**3 - 2*y**3 - 10 + 125*y**2 + y to c*y**3 + n + w*y + g*y**2 and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 151 - -2?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-nine halves of a kilogram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 8:33 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*a - 10*a + 5*s - 64, -96 = -3*a + 3*s. What is the lowest common multiple of 40 and a?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 339, -10, 13.\nAnswer: -10, 13, 339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mn when two letters picked without replacement from {m: 1, e: 1, n: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 60\/14 + 8\/(-28). Let g(s) be the first derivative of s**3\/3 - 5*s**2 + 3*s + 1. Let b be g(10). Which is greater: v or b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 49 = 4*u. Let h be (4\/u)\/(10\/6). Which is the second biggest value? (a) -1 (b) 1\/3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5400 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -140*v**2 - 38*v**2 + 20*v**2 - 285*v**2 as y + x*v + l*v**2 and give l.\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 36 = -138. Let o = g + 36. Solve -1\/5*u**3 + 1\/5*u**4 + 0 - u**o - 3\/5*u = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540) - 2*sqrt(540)*2)\/(sqrt(81)\/(sqrt(9) - (sqrt(81) - sqrt(9)))))\/((sqrt(48)*2*5)\/(sqrt(24)\/(sqrt(6)*2))).\nAnswer: 3*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6264*g**5 + 29*g**2 - 459. Let m(x) = -3131*x**5 - 13*x**2 + 230. Let v(i) = 7*m(i) + 3*r(i). Find the third derivative of v(j) wrt j.\nAnswer: -187500*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 446 and 626184.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 9\/11 (b) -10 (c) 0 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/57)\/z)\/z**(3\/5) assuming z is positive.\nAnswer: z**(-466\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 429005*s**4 - 325324*s wrt s.\nAnswer: 5148060*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -407*c**2*h**6 + 6*c**2*h**2 - c**2*h + h wrt h.\nAnswer: -48840*c**2*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-345)\/((-119025)\/138))\/((-2)\/(-345))\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/2903 - -5900\/136441. Let v = 55\/188 - z. Is 1\/4 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/15)\/((-8)\/20). Let i be (l + (-68)\/12)*3. Which is greater: -6 or i?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 203 and 4767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 15*u**4 + 40029*u**3 + 24006*u**2 - 16008*u = 0.\nAnswer: -2668, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, d: 1}. What is prob of sequence de?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -z - 4*z, -3 = -j + z for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/452)\/(-1*1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35 take away 3308190908?\nAnswer: -3308190908.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -15*l + 3. What is t(1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 173 + -175. Sort -22, 2, m in decreasing order.\nAnswer: 2, m, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88\/(-66))\/((-35)\/(-21)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2 + 76*k - 214. Let j be r(3). Which is the second biggest value? (a) -9.5 (b) -42 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -620*h**3 - 4*h**2 - 16*h - 6. Let k be x(5). Let i = 15314 - k. What is i rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(637) + 1 + sqrt(637) + -3*sqrt(637) + (sqrt(637) - (-3*(-4 + sqrt(637)) + sqrt(637))))**2.\nAnswer: -308*sqrt(13) + 2664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*y - 2*h + 7, 5*y - 22 = 4*h. Suppose 0 = -y*j - 2 + 10. Suppose -2*n = 5*m - 81, 45 = 3*m + j*n - n. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29340.86371 + -29341. Round f to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*n = 175*n + 36. Differentiate n + 13*r**2 + 914*r - 914*r with respect to r.\nAnswer: 26*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*-2*5 + -1*(sqrt(72) + sqrt(72)*2 + sqrt(72) + sqrt(72)))\/((sqrt(96)\/sqrt(4)*3 - sqrt(24))\/sqrt(144)).\nAnswer: -90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 5 + 5. Let p = 0.099 - 0.155. Let n = 0.256 + p. Which is the fourth smallest value? (a) t (b) n (c) -2 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - 0)*(28\/(-6) + 4). Suppose -3*k - g = a*g - 102, 2*g = 2*k - 56. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 - -12. Suppose 5*w = d + 101. What is the remainder when w is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**5 - 68515*b**4 - 135249050*b**3 - 95760082990*b**2 - 23095755000065*b - 23000130097615 = 0 for b.\nAnswer: -11491, -737, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/13, 2\/3, 14, 0.2, 1, 7365?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1006 + 862 = 224*x - 148 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + v - 2, -62*k + 57*k + 3*v = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*n = 0. Let c = n - -2. What is the remainder when -1 - ((0 - 0) + -3) is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + 7 - 7 + 6 + 17 - 9*p in the form b + w*p and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o\/o**(-3))\/o*o)\/o*o**10)\/(o*o**0*o**(-6\/13)) assuming o is positive.\nAnswer: o**(175\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-154)\/110 - 20\/(-3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 - 43.045. Let f = -0.705 - s. Is 1 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - 0)*1 - (8 + -5). Let c be 1053 + 0 + -1*3\/q. Let t = 209 + c. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5387 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*f + 2*f - 4*f)*(-f - 4*f - f) + (0 + 1 - 3)*(-3391*f + 3391*f - 45 + 4*f**2) in the form x*f**2 + d + a*f and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11275, 11273, 11271?\nAnswer: 11269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 0.5, 0.2, 20\/13, -12\/17, 1, 0.02?\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 3*c**2 - c + 5. Let n be g(3). Suppose -4*d = -k + 22, 23 = 5*d - n. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t - 9. Give h(18).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-5))\/((-4)\/(-10)). What is the second smallest value in a, -6, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/190128 and 101\/36348.\nAnswer: 2471664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 4*a - 7. Let q be z(-6). Suppose 2*j = 2*l - 3*l + 14, 4*j + 3*l = 28. Let i(o) = 3*o + 2*o**2 - 1 + 7 - o**2 - j*o**2 + o**3. Give i(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 + -97. Are 0 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 830069557 to the nearest integer?\nAnswer: 940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17 - -86?\nAnswer: a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 721488 and 284.\nAnswer: 51225648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 9)\/(9 - 8). Let x be a\/(-65) - 150\/(-39). What is the units digit of 228\/18 + x\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from wwxnxxnww.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 947744 - 222*h - 947744 to the form y + w*h and give w.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*i + a, 197 = -3*i - 2*a + 245. Let t(g) = g + 26. What is the least common multiple of i and t(0)?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-14))\/((-423)\/658). Which is the second biggest value? (a) -9 (b) i (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -5\/3 (c) 0.2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -60.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2479911293?\nAnswer: 19, 5471, 23857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -40 + 4 + 2*t + 21 + 15. Let b(x) = 1. What is -6*b(m) + r(m)?\nAnswer: 2*m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9\/(135\/300)*137?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 18031*t + 2 + 14*t**2 - 18031*t. Let x(z) = 22*z - 53*z + 28*z. Calculate x(v(f)).\nAnswer: -42*f**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**2 - 2*r**2 + 4*r**2 - 698*r**2 - 790*r**2 + 1570*r**2 + (-4*r**2 - 2*r + 2*r)*(-2 + 5 - 5) to d + a*r**2 + p*r and give a.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21122313 + 10121102?\nAnswer: 31310021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -6*h + 23. Let l(c) = -2*c + 8. Let n(f) = -17*l(f) + 6*z(f). Suppose -v = -0*v - 2. Suppose -t - v = 2. Let r(d) = -1. Give t*r(x) - n(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**3 + 3*s**3 + 3*s**3 + 0*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 + 0.6794.\nAnswer: -42.3206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3363 by -9.\nAnswer: -1121\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 249, 554, 981, 1530, 2201, 2994?\nAnswer: 3909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 4*u + 8 = 0, 0 = l + 3*u + 79 - 83 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8942019731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**4\/9 + 80*f**3\/9 - 482*f**2\/9 + 220*f\/3 = 0.\nAnswer: 0, 2, 5, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of c**5\/140 - 6*c**4\/7 + 216*c**3\/7 + 2*c + 603. Let s(t) = 0. What is t?\nAnswer: 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 168 - 170.14. Let p = n - 0.26. Let c = p - -3.4. What is the closest to 2 in -0.1, 0, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + 8. Suppose -3*a + 9 = -3*n + b, 18 = 2*n + 3*a. Calculate the greatest common divisor of 27 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20110 + 111222?\nAnswer: 202102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 66361 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -34*l**2 + 10*l. Let b(f) = -7*f**2 + 2*f. What is -11*b(r) + 2*w(r)?\nAnswer: 9*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-44)\/(-6))\/((-136)\/(-255)) and 127\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/3 + 267*h.\nAnswer: h*(h + 801)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 553004 to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + -0.7. Let x be (-29)\/(-6) + -3 + -1 + 0. What is the nearest to -1 in x, v, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a**2 + 312*a - 117. Let s be t(62). Solve -8 = -i - 0*i + 5*y, -3*i - 2*y + s = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113707.0032 less than 0?\nAnswer: -113707.0032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 278*j**2 - 7*j + 48. Let g(w) = 415*w**2 - 10*w + 72. What is 5*g(r) - 7*m(r)?\nAnswer: 129*r**2 - r + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**2 - 930*v - 2763 = 0 for v.\nAnswer: -307, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.4 - 22.6. Let l = f - -30.07. What is l rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*q, -4*q + 2*c = -3*c - 2. Suppose 11 = p - 5*g, -2*g = q*p - 5*g - 9. Factor 3*j**3 + 0 - 12*j**2 - p + 15*j - 5.\nAnswer: 3*(j - 2)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**4 + v**3 - v**2 - 2*v + 1. Let n(t) = -7*t**4 + t**3 - 171*t**2 - 277*t + 446. Let f(p) = 4*i(p) + n(p). Determine d, given that f(d) = 0.\nAnswer: -5, -3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 9*t + 5. Let h(l) = 4*l - 10. Let v(y) = 5*y - 11. Let z(i) = 4*h(i) - 3*v(i). Calculate z(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4198 a factor of 248488016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**5 - 1925*z**4 + 34290*z**3 + 47700*z**2 - 217080*z = 0. Calculate z.\nAnswer: -402, -3, 0, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**3 - y**3 - y**3 + (0*y**2 + 4*y**2 - 3*y**2)*(-2 + 2*y + 2) - 2*y**3 - 3*y**3 + 4*y**3 + (-4*y + 4*y - y**3)*(1 - 4 + 4).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-7)\/(-2))*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 11:39 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and 0.34984?\nAnswer: 0.34984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57.08 - -57. Let f = b - -0.041. What is f rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618 is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -7. Is v\/18 + 415\/45 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t - 6. Let a be w(-8). Let y(r) = -3*r - 4 + 2*r + a*r - 4. What is the remainder when 11 is divided by y(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1122 + 0.073. Let v = 0.039199497 + o. What is v rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 125 and 113375?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 0.3, 4, 0.141?\nAnswer: 0.141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 8*u**2 - 7*u - 2. Suppose 7 = q - 0. Let r be j(q). Calculate the remainder when (r + 3)\/((-1)\/(-17)) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28062, -56128, -84204, -112296, -140410, -168552, -196728?\nAnswer: -224944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -78\/7, -1\/3, -18615\/11?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 6*-34*63\/(-42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 r when two letters picked without replacement from xrrdvwpx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 392 and 280.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 43562634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 85325*o. Let a(m) = -2*m. Give n(a(w)).\nAnswer: -170650*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15690, 15689, 15686, 15681, 15674, 15665, 15654?\nAnswer: 15641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2453582 - 1114191. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -17*x**2 + 13*x - 30. Calculate j(5).\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.693 - 24539711.\nAnswer: -24539709.307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -660*n. Let g(k) = 30*k. What is 2*b(o) + 45*g(o)?\nAnswer: 30*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47.7 - 48. What is the fourth smallest value in 4\/7, 0.5, -2, x?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 - -19. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -622 - -628. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.3 (b) 0.4 (c) 5 (d) -15 (e) 88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18921 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -229 - 73. Let z = t - -162. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -60, -87, -114, -141, -168?\n\"Answer: -27*n - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -10*d. Let r be (-242)\/(-77) + (-2)\/14. Let l(c) = c - 6. Let p(q) = 2*q - 9. Let m(t) = r*l(t) - 2*p(t). What is -k(i) + 8*m(i)?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (-20 + 52 + -5).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 8*n - 9. Let z be k(5). Suppose z*o - 5 - 1 = 0. Suppose o + 21 = 2*h. Solve -1 + h = 5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 253 = -79. What are the prime factors of i?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -1324*z**3 - 2*z**2 + 6*z. Let o(g) = 100623*g**3 + 153*g**2 - 459*g. Give -153*f(k) - 2*o(k).\nAnswer: 1326*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 10:03 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -156520339*h + 23055307.\nAnswer: -156520339","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 + 1. Let y be s(1). Suppose 0 = 4*k - y*k - 5*u - 27, 0 = -2*k - 4*u + 54. What are the prime factors of (-4)\/(-4)*3 + k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4214 - -4181.43. Let v = -0.77 - w. Let f = -31 + v. Which is the closest to 1? (a) f (b) -5 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 4*p - 5. Let k be l(-4). Let q be (0 + k)*8\/(-10). Solve -2*b + q*b = -8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 30*w**2 - 159*w - 81. Give m(24).\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1534 - -2648. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (3 - 2) - -1) + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*j + 10 = 0, -26 = 3367*v - 3368*v + 4*j. Let g(u) be the first derivative of -3*u**2 + 15*u - 1. Let m(o) = 2*o - 5. Give v*g(w) + 7*m(w).\nAnswer: 2*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-12) - (-662)\/8. Suppose 0 = -b + n + 41. Suppose 0 = -10*u + 8*u + b. List the prime factors of u.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -123199*d**4 - 75015*d**2 - 2*d.\nAnswer: -2956776*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 2. Suppose 15 = 3*i, 2 = 5*o - 3*i - 8. Solve g*j - p + 2 = 2*p, o = -j + 3*p for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.52511397 rounded to three dps?\nAnswer: -0.525","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17415, 12230, 7045?\nAnswer: 1860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -31*w + 4995. Give v(161).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 5\/4*n**2 - 1\/2*n.\nAnswer: n*(5*n - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2 + 1 + 0*y**2 - 2*y**2. Let f(q) = 3*q**2 + 2*q + 4. Suppose 3*w = -2*k + 5*k - 6, -3*w = -5*k + 8. Give w*f(t) + 2*g(t).\nAnswer: -t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5127*v - 3854*v + 558807 = 12230*v for v.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 131341 to the power of 1\/2, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k. Let v(x) = -x**2 - x**2 + x**2 - 2*x**2. Calculate s(v(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 12 - 12 = 0, -2 = -j - 5*n - 24. Let u = 1551 + -1000. Calculate the highest common factor of u and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/11 - 175*x\/11 - 2850.\nAnswer: (x - 285)*(x + 110)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30441530 + -80101530. Round v to the nearest one million.\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*q - 0. Let c(y) = 2*y**3 - 126*y**2 + 113*y + 695. What is the remainder when c(62) is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 5. Let g = -5 - b. Let j = -26190 - -52379\/2. What is the third biggest value in -2\/13, g, j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**4*o**3 - 9287*a**4 + 234*a**2*o**3 + 8*a*o**3 wrt a.\nAnswer: 24*a*o**3 - 222888*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, 0, 0.42?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/11)*k**0\/k*k**(2\/13)*k*k\/k**2 assuming k is positive.\nAnswer: k**(-95\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*w - 18 = -34*w. Suppose 4*g + w = 33. Let j = 1 - -53. Calculate the highest common factor of j and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22031 + 25*f**3 + 12*f + 22030 + 14*f**3 as l*f + t*f**2 + i*f**3 + y and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*c = 100. Let v(f) = f**3 + f**2. Let z be v(0). Suppose 4*g + z*g = -2*t + c, g - t - 8 = 0. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 3*w**2 + 7*w - 4. Let i(g) = -37*g - 144. Let a be i(-4). Determine u(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 5, -1, -11?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 177594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271*r**3 + 4*r - 4*r.\nAnswer: -271*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19399782379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40*12\/(-45)*-9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1278 - -3836\/3. Let o = 11 + -21. Let s = 5 + o. Which is the nearest to -2\/3? (a) -0.4 (b) s (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213325659.\nAnswer: 3, 23702851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -6*y**3 + 7*y**2 - 4*y + 2. Let r(c) = -c**3 - c + 1. What is o(d) - 4*r(d)?\nAnswer: -2*d**3 + 7*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 + 106*r**3 + r**3 - 2*r**2 - 344*r**3.\nAnswer: -237*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -226 + 346. What is the common denominator of 258\/p + (0 - -1) and -33\/28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (172*p - 82*p + 125*p)*(3*p**3 - 7*p**3 + 3*p**3) - 3*p**4 + p**4 + p**4 in the form x*p**4 + f*p**3 + m*p**2 + v + d*p and give x.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, q: 1, u: 1, f: 2, s: 3, z: 3}. What is prob of picking 1 v, 1 f, and 1 q?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.0381 (b) 19\/5 (c) -1 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 5*a - x - 15, -2*a - 3*x = -44. Let h = -4413 - -4417. Calculate the remainder when a is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3025986944?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 224527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8135, -7884, -7653, -7436, -7227, -7020, -6809?\n\"Answer: v**3 - 16*v**2 + 292*v - 8412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -9*h - 73. Let n(l) = -8*l - 75. What is 4*n(b) - 3*w(b)?\nAnswer: -5*b - 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 4\/85?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -55*r**3 + r**2 + r. Let z be n(-1). Suppose 8*d - 3*d - z = 0. Solve -3*v - 4*l + d = 0, 4*v = 2*l - 4*l + 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + j - 6. Suppose -3*a + 2*a = 0. Suppose a*n = -3*n. Give f(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 + 27917*q**2 - 111656*q + 111652.\nAnswer: -(q - 27913)*(q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 324701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230898 is divided by 5499?\nAnswer: 5439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4 - 1)*(74 - 10 - 38)*(5*h - h - 3*h).\nAnswer: -234*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -387.5 + 388. Let u = -6 - 0. Let g = -5 - u. Sort -4, g, c.\nAnswer: -4, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2. Let i be (117\/(-156))\/((-3)\/8). Suppose -j = 2*f - 0*f - 23, f - 3*j = 22. Let x(l) = 8*l**2 + 3*l**2 - f*l**i. Determine x(b(g)).\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 4 + 0 + -10 + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/5 of a centimeter?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**4 - v**2 + 5 + v - 3*v**2 - 4 + 5*v**2 to u*v**2 + z*v**4 + o*v + j + l*v**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 266 + 17101573.\nAnswer: 17101839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*v - 2 = -19 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 40 - 50 - (-10 + 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54 - -53.6. What is the closest to 1\/2 in 3, -2\/7, f?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide 602816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21454925 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: Suppose -12 = 4*b, 6*b - b = v - 23. Suppose w + v - 32 = 0. Let a = w + 0. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*q + 3 - 10 - 38*q**2 + 43*q**2 + 7.\nAnswer: 5*q*(q - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c + 16. Let z(q) = -5*q - 28. Let f(w) = 7*h(w) + 4*z(w). Let s(m) = 18*m - 1. Calculate s(f(k)).\nAnswer: 18*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvd when three letters picked without replacement from dmvbvvvvvvbvvv.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (12*(-6)\/(-27))\/((-102)\/5355*5)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26731 - -26726. Put 1, 0.06, i, -1\/3 in decreasing order.\nAnswer: 1, 0.06, -1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2\/7))**35*w**(3\/7)\/(w*(w**(-2\/3)*w)\/w))**(4\/3))**(-1\/29) assuming w is positive.\nAnswer: w**(832\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2617 is divided by 1275.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 447*o**2 + 5*o + 15. Let l(b) = 671*b**2 + 7*b + 22. Give -5*l(u) + 7*r(u).\nAnswer: -226*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z - 4*z + 3*z. Let p(t) = -t. Let d(a) = -a**2 - a. Let s = -3 - -5. Let j(r) = s*p(r) - 2*d(r). Give o(j(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 6*r**2 + 3*r - 3. Let m be w(-5). Solve 5*n + m = 5*l - l, -4*n - 2*l = 16 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49690?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -77*o - 568. What are the prime factors of d(-58)?\nAnswer: 2, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.2755607 days?\nAnswer: 23808444.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -0.094\nAnswer: -0.594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.6268 rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 14*d + 5. What are the prime factors of n(13)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 2:23 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2. Let k(a) be the third derivative of 9*a**5\/40 - 31*a**3\/6 + 2*a**2 - 5*a. Let w(b) be the first derivative of k(b). Determine l(w(s)).\nAnswer: -1458*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1*(n**1\/n)\/n)**(4\/9)\/(((n\/n**(3\/2)*n*n)\/n**2)\/(n**(-2))**12) assuming n is positive.\nAnswer: n**(-47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 27. Let j be 93\/(5\/(20\/l)). Suppose -4*c - 2*w = c - j, 2*w = 3*c - 34. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -135*z + 156*z - 42 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*-1*1)\/(5*sqrt(12)*1).\nAnswer: -sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 13. Calculate the highest common factor of 1 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**3 + 10*z**2 + 514*z + 2160. Determine i(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1614, 3165, 4658, 6099, 7494, 8849, 10170?\nAnswer: 11463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 1\/11754 (b) 1\/8 (c) 4 (d) -3\/2 (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/315 and 34\/49?\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -691*w - 16 = -687*w - 4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -342 - -446. What is the highest common divisor of c and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = f - 0*f - 6, 0 = -4*f + 16. Suppose 4*u - 12 = 2*d, -3*d = j*u - 7 - 7. Solve 0*y - u*y + 20 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*l + 50 = 2*c, 18 = l + 2*c. Let f be (5 - 1)\/(0 - -1). Let v(a) = a**2 + a + 2. Calculate the remainder when v(f) is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 2*x + 1. What are the prime factors of s(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 - 10*h**2 + 3*h + 2. What is t(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/5316 and 17\/21.\nAnswer: 37212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 52420 smaller than 52425?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -11*o. Suppose r - k - 68 = o, 3*k - k = r - 66. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 19*p = 22*p + 65*p - 3255 for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 8*p - 8. Let h be z(-7). Let d be h\/7*(-35)\/(-10). Which is the second biggest value? (a) d (b) -3 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62343 is divided by 70?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, -1\/7857, 0.5, -4\/7, 124 in increasing order.\nAnswer: -4\/7, -2\/15, -1\/7857, 0.5, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-120 + (126 - 46))\/(0 + (-10)\/24)\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -2\/13, -2\/3, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times -20064?\nAnswer: 16051.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*m - 103*m = -31*m - 23*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -4. Suppose 47*c - 5*w = 43*c + 21, 2*w = -4*c + 14. What is the third biggest value in c, 0.3, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/17, -0.4, 2\/21, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**3\/b)\/b)\/b**3*((b*b**(-2\/5)*b)\/b)\/b**(2\/3))\/((b*b**(-1\/2)*b**(-6))\/(b*b*(b\/((b\/(b*b*b*b*b**(-1)))\/b))\/b*b*b*b)**(2\/113)) assuming b is positive.\nAnswer: b**(12119\/3390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -390, -0.056, 0.3 in descending order.\nAnswer: 0.3, -0.056, -2, -390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 2*n - n)*(3*n - 34 - n + 2*n**3 + 37).\nAnswer: 2*n**4 + 2*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110158574 divided by 9433.\nAnswer: 11678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-30)\/(-4))\/((-363)\/(-484)). Let v(o) = 1 - 2*o + o**2 - 3*o - 5*o. Calculate v(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*n**2 + 35*n**2 + 3*n**2.\nAnswer: 129*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-3 - -2) + 3 + -16 + 29\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4*l + 396, 0 = -3*l - 3*f - 2*f + 295. Suppose 4*g - 94 = -4*o - o, 4*o - 3*g - l = 0. What is the units digit of (-40)\/7*(-77)\/o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66878 + 95255. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -1761*z + 19426. What is s(11)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahhhhhbhggahoadhho. What is prob of sequence gg?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p - 256. Let v be i(0). Let r be (-16)\/24 + v\/(-6). Let m = 44 - r. What is the lowest common multiple of 3 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 6*u**3 + u**2 + 5*u + 5. Let w(o) = 5*o**3 + o**2 + 4*o + 4. What is -4*f(l) + 5*w(l)?\nAnswer: l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4420 - -247501\/56. What is the common denominator of 79\/8 and s?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*g**2 - 87*g**2 + 109*g**2 + 19*g**2 - 12*g**2 - 13*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 876 - -383. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n**2 + n. Suppose -2*r - 4 + 2 = 0. Let z be j(r). Suppose 5*o = k + 3*o - 103, 3*o + 300 = z*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) 5 (b) 932 (c) 0.046 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -172 + 1033\/6. Which is the nearest to o? (a) -3 (b) -2\/11 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -0.35, 14, -2\/5, -4, 2\/11, -3\/260?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -92 + 50. Let c be u\/(-15) + 3\/15 - -2. Solve -c*j - 5*y = -2*j + 2, -y = -5*j - 22 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 divided by -955123.\nAnswer: 63\/955123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 25 = -114*s + 6 - 77, 218 = s + 5*w for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 180 + 90. Suppose 16310 = -31*g + k*g. What are the prime factors of g?\nAnswer: 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 1016*n**2 - 21*n - 27. Let p(t) = -508*t**2 + 11*t + 14. Let g(c) = -11*p(c) - 6*v(c). Let y be g(4). Round y to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/34120 and -145\/61416.\nAnswer: 307080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 720\/(-15)*58\/6. Let o = -225 - n. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (-8)\/2 - -3. Let i be (3\/13)\/(h\/2). Does i = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 176c445 (base 13) in base 5?\nAnswer: 3422434243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-39) + 9526\/11258.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27487421*f**4 + 3*f**2 - 2642*f + 13492 wrt f?\nAnswer: 329849052*f**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 72752.51 nanograms in tonnes?\nAnswer: 0.00000000007275251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130, -454, -956, -1636, -2494, -3530, -4744?\nAnswer: -6136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 1. Let v be 21\/(-27) + 1 + 40\/(-18). Let i(o) = 5*o**2 + o + 2. Calculate v*t(m) - i(m).\nAnswer: -3*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 37036789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-351)\/(-39) - (-2 + 4 + 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4123214231 (base 5) in base 4?\nAnswer: -200012013323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4369106017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9, 20, 31, 42, 53, 64?\n\"Answer: 11*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 6 + 1 - 3*u + u**2 - u. Suppose 0 = 5*o - 8*o + 18. Is w(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 337\/4 + -13147\/156. Which is the nearest to -0.2? (a) o (b) 1 (c) -1 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 129686 + -129737.9958. Let j = 12.2 + 39.8. Let q = z + j. What is q rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**4\/12 - f**3\/3 - 3*f**2\/2 - f. Let x be l(4). Solve x*s + 28 = -c + 2*c, 0 = -s - 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 5190?\nAnswer: 46710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -4\/5, -3, -4, 55?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -43*v + 105. What is i(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -12*6*(-2)\/(-3). Let w = 45 + p. Sort -4, 0, 5, w in descending order.\nAnswer: 5, 0, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.1145 - 0.1145. Let j = -8.8 + -0.2. Do j and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(18) + -2 + sqrt(2).\nAnswer: -6 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 19)*(-6*j - 8*j + 8*j).\nAnswer: -84*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 6*u - 25. Let a(o) = o**3 - 2*o**2 - 3*o. Let d be a(u). Let l be d\/14 - 2\/7. Calculate the greatest common divisor of 32 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-52)\/4*(3 + 1). Let s = 78 + b. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a**2 + 8*a + 10. Let r(q) = q**3 - 2*q**2 - 5*q + 6. Let v be r(3). Let h = v + -2. What is the tens digit of k(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r + 1. Let j be s(4). Let n be (11\/2)\/(-5 - 22\/(-4)). Let q = j + n. Is 1 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 147 - 54. What are the prime factors of m?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.067 take away 103077095?\nAnswer: -103077017.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*l - l - 2*l + 2 - 2 - l + (1 + 1 - 4)*(2 + l - 2) to z + h*l and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 4*z + 10 = 0. Suppose 95 = 2*y - 25. Let x = y - 42. Solve 0 = -5*p - z - x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 587 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 117.79 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 41690, 164857, 370138, 657533, 1027042?\n\"Answer: 41057*i**2 - 4*i + 637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62 - -63. Let g = 6 + x. Solve -2*f + f + 4 = 3*a, f - g = -4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.09686 - 1.09686. Which is the nearest to -0.03? (a) j (b) 2\/45 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -472555, -472689, -473039, -473713, -474819?\n\"Answer: -18*n**3 - 8*n - 472529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*l + 93, -56 = -5*l + 4*a + 72. Let x be 132\/28 + 8\/l. Let c(q) = -60002*q + 10. Let v be c(x). What is v rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + 1 + -3 + sqrt(1331) + sqrt(1331) + 1*(-1 + sqrt(1331)) + -5 + -2 + -1 + (sqrt(132)*2)\/sqrt(12) + -5)**2.\nAnswer: -1472*sqrt(11) + 23532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 427001 - 5?\nAnswer: 426aa7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6242 times 0.1\nAnswer: 624.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297766*c + 2371*c**3 - 2373*c**3 - 297766*c.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a litre in millilitres?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/14 and -61\/25180.\nAnswer: 176260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 27\/36*8\/(-9). Which is the third biggest value? (a) x (b) -0.5 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16576023 divided by 87.\nAnswer: 190529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.1191 - -326092.\nAnswer: 326105.1191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -6, -2, -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**5\/7 + 600*l**4\/7 - 11392*l**3 + 437976*l**2 - 7054236*l + 41489280 = 0. What is l?\nAnswer: -245, 21, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 536118 or 536123?\nAnswer: 536118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -30 + 4\/7*p**3 + 0*p - 3\/7*p**4 + 4\/35*p**5 - 2\/7*p**2. Determine x so that a(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p - 45 = 19*p. Suppose 4*q - 3 = p. Let j(h) = -1 + 0*h - 6*h - 4*h**2 + q*h - 5*h**3 + 6*h**3. Give j(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - ((-1 - 2) + 4 - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 25728*x**2 + 128649*x + 46. Give h(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -90123 divided by -5\nAnswer: 90123\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + x. Let l(q) = 5*q**2 - 7*q + 6. Let o(y) = l(y) + 4*r(y). Suppose 0 = -5*w + 40 - 5. What is the tens digit of o(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122971?\nAnswer: 122971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190*s**2 - 190*s**2 + 4*s**3 - 3*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 35*(-3)\/((-30)\/4). Let y = 18 - m. Let j(w) = -w**3 + 4*w**2 + 4*w - 1. Calculate the remainder when 57 is divided by j(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 6*j + 0 + 3*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1749 and 3490421?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i + 22. Let d(v) = v - 33. Let c(u) = -10*d(u) - 15*r(u). Let a(l) = 76*l**2 + l. Calculate c(a(t)).\nAnswer: 380*t**2 + 5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -81 - -96. What is the remainder when 147 is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/7*m**3 + 0 - 9\/7*m + 12\/7*m**2.\nAnswer: -3*m*(m - 3)*(m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2562 + -2518. Solve 50*x = n*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, i: 6, l: 8, w: 1}. What is prob of sequence zlzi?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(112)*3 - sqrt(7))) + (sqrt(7) - (sqrt(7) + 2*sqrt(28))) + 0.\nAnswer: -14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2320 and 8080?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 266*g**2 - 193*g wrt g.\nAnswer: 532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*c - 16*c**3 + 10*c + 6*c - c**4 + 10*c + 2 as s*c**4 + q*c**3 + d*c**2 + f + o*c and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3584 - -5126. What are the prime factors of k?\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3913 - 3906. Solve -3*w = 3, 5*w = -2*c - c + f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 5 (b) 142 (c) -0.4 (d) 1 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/6)*x\/(x*x*(x**(-1\/11)*x)\/x)*x\/(x\/x**(-1\/4))*(((x\/((x*x**(5\/2)*x)\/x))\/x)\/x)\/x assuming x is positive.\nAnswer: x**(-857\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 37483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -5*h + 1885582, 2*h - 6*h - 2*z = -1508466. Suppose -t - h = 552883. What is t rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -603.8 from 462103629.\nAnswer: 462104232.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2. Let f be 15\/30 - (-18)\/4. Suppose -y + 3*y = 0. Let m(x) = x - 11*x + f*x + y*x. Calculate m(t(q)).\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in centuries?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -1. Let z(t) = -4*t - 1 + 0*t - 3*t + 2*t. Let r(g) = 3*g - 1. Let d(b) = 3*b. Let x(p) = 3*d(p) - r(p). Calculate j*z(o) + 2*x(o).\nAnswer: -3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226967 is divided by 358?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fcpwcwin. What is prob of sequence pwn?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 8 = -x + 16, 2*x + 5*a - 44 = 0. What is the highest common factor of 36 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-78.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**4 - 9*a**3 - 9*a**2 + 9*a. Let g(c) = c**4 - 3*c**3 - 3*c**2 + 3*c. Let h(q) = -7*g(q) + 2*k(q). Factor h(x).\nAnswer: -3*x*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {x: 1, k: 2, v: 3, f: 3, p: 3, j: 2}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/((o*o*o**(1\/7)*o)\/o))\/((o*o**(-4))\/o))\/(o\/(o**(-2\/3)\/o)*o**(-2\/3)))\/((o\/o**(1\/8)*o)\/o**(-10))**(2\/35) assuming o is positive.\nAnswer: o**(5\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**4 - v**4 - 2*v**4 + v + 2*v**4 - v + (5*v**2 - 2*v**2 - 5*v**2)*(2*v - 2*v - 2*v**2) + 0 - 2*v**4 + 0.\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1167*z - 688*z + 20*z + 276*z to j*z + d and give j.\nAnswer: -1559","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3*1)\/((-24)\/48).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 235 + 326. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence al when two letters picked without replacement from lulaau?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*m = -240*m - 96 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 554*d + 30851. Give s(51).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 2*u + 4 - 2*u + 3*u - 2*u - 3 + 3 + 2*u + (0*u + 3*u - u)*(3 + 0 + 0).\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 132020 (base 4) to base 2\nAnswer: 11110001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-18)\/(-8)*(-208)\/(-72))\/(2\/13556) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = m + 3*m - 4*w, 16 = 4*w. Let l = 73 - m. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(15\/(-5) + 2). Let s(b) be the first derivative of 2 - 1\/18*b**4 - 2\/9*b**2 + 2\/9*b**3 + o*b. Let s(h) = 0. Calculate h.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -12 + (-126 - -138) + (-8 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 48208695 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v + 22*v - 20*v**3 - 26*v.\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of w**7 - 7*w**3 + 21. Find the third derivative of t(d) wrt d.\nAnswer: 840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 488 = -43. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 11 + -26 + (-1 - 0 - -33).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (-9)\/3 - 9. Let w be (-13)\/(-3) - m\/(-18). Solve -w = 2*z + 6 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0)*-1*(-2)\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/6)\/(25\/30).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rkii when four letters picked without replacement from riririiirkrkk.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*i + 65 - 10*i - 65 + (-1 + 3 + 0)*(4 + 2*i - 4) + 2*i - 1 + 1)*(109*i**3 + 33*i**3 + 36*i**3).\nAnswer: -9078*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2709094297?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 61880 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-1 + -1) + 1. Let g(n) = 2*n + 6. Let f(q) = 4*q + 12. Let s(p) = y*f(p) - 5*g(p). What is the units digit of s(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7232.336ml to litres.\nAnswer: 7.232336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) 0 (b) 5 (c) -2\/7 (d) -5 (e) 12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10013 + -13200?\nAnswer: -23213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 29057?\nAnswer: 29057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -9*c + 4. Let q(x) = 8*x - 4. Let d(k) = 5*b(k) + 6*q(k). Let u be d(3). Suppose 38 = g - y, -127 = -u*g + y + 67. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -4*f + 16, 0 = 2*f - 19*t - 16 + 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126108 is divided by 1501?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 240\/108 - (0 + 2\/9). Suppose 610 + 72 = 5*x - f*c, 702 = 5*x + 3*c. List the prime factors of x.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/7 + 2\/(-7). Suppose -4*q - 12 = b, -2*i + 16 = -4*q - 20. Let k = -85 - -145. Calculate the greatest common factor of k and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + (-7 - (-5 + 4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51334165 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*w. Let a(y) be the third derivative of w*y + 0*y**4 + 0*y**3 + 1\/24*y**6 + 0 - 1\/20*y**5 + y**2. Find the third derivative of a(k) wrt k.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2670.\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*o - 42*o + 2698 = 79*o + 39*o for o.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 51361 (base 7) to base 12\nAnswer: 730a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -0.08 (c) 20 (d) 25 (e) 2\/13 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 143301 by 1.\nAnswer: 143301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -4, 0.2, 98 in decreasing order.\nAnswer: 98, 0.2, -0.07, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + (-7 - (4 - 14)) + -9 + -8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 50\/18 + (-4)\/(-18). Let y(v) = v + 3 + 1 + 0 + g. Let c = 11 - 15. Give y(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.23 and 29.618002.\nAnswer: 6.81214046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000072768304 rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 43*m + 27. Let t(k) = -49*k - 32. Let s(q) = 6*r(q) + 5*t(q). Let l(u) = u + 8. Determine l(s(y)).\nAnswer: 13*y + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 5*s - 1. Let w be u(4). Let i = -26 - -28. Solve 3*d - i*d = w for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 9:06 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -200629300 or -200629304?\nAnswer: -200629304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**4\/4 + 8*k**3\/3 + 4*k**2 + 13*k + 5. Let f be x(9). Suppose f*u - 7 - 9 = 0. Solve -u*q = 11 + 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 16*k. Let h(r) = -17*r. Let m(c) = 3*h(c) + 2*q(c). Let u(p) = -p**2. Calculate m(u(j)).\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, 3, 96, -92 in decreasing order.\nAnswer: 96, 3, -4, -8, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21900 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -644 and -549 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 8*r**2 - r - 20. Let w be d(6). Let v = 48 - w. Suppose 0 + 0*t + 2\/7*t**v - 2\/7*t**5 - 2\/7*t**4 + 2\/7*t**3 = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + m**2)*(1 - 2 + 0) + (-4367 + 193*m + 4367)*(-2*m + m - m) - 3*m + m**2 + 3*m + (-2 + 3 + 0)*(1 + 2*m**2 - 1) - 5*m - 4*m**2 + 5*m.\nAnswer: -388*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of 1\/240*i**5 + 0*i - 1\/12*i**3 + 0 + i**2 - 1\/96*i**4. Find j such that a(j) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 5*k**2\/6 - 17545*k\/6 + 409165 = 0.\nAnswer: 146, 3363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 times 11?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -14?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u**5 - 141*u**4 + 7761*u**3 - 63267*u**2 + 73368*u - 17712 = 0 for u.\nAnswer: -41, 1\/3, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445 is divided by 92.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tman when four letters picked without replacement from ssttaartamsrstsntttt.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/15 - 100\/(-75)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from {t: 3, u: 1, e: 2, f: 3, n: 2, b: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/7)\/((j*j**(-1\/14))\/j))\/(j**(-1\/6)\/((j\/j**(-6\/7)*j*j)\/j)))**30 assuming j is positive.\nAnswer: j**(710\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -139*i**2*v - 27*i**2 + 5*i*v - 3*i + 749277*v wrt i.\nAnswer: -278*i*v - 54*i + 5*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -76762 + 2?\nAnswer: -76760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 133\/3 + -44. Do g and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 96\/29 - 105\/58. Factor 0*m**3 - 3\/2 - v*m**4 + 0*m + 3*m**2.\nAnswer: -3*(m - 1)**2*(m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**23*(t**25*t)\/t*t*t\/((t**0*t)\/t)*t*t**36 assuming t is positive.\nAnswer: t**87","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -2*a**7\/35 + 7*a**6\/30 - a**5\/3 + a**4\/6 + 30*a**2. Factor w(d).\nAnswer: -4*d*(d - 1)**2*(3*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/160 and -23\/520.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 2:02 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**3 + 3*s**3 - 5*s**3 + (-s**2 + 2*s**2 - 2*s**2)*(5 - 5 - 2*s) + s - s**3 - s + (s**2 - s**2 + 2*s**3)*(2 + 1 - 1).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 8*j**2 - 2*j + 2. Let s be w(1). Suppose -4*v - s = -2*v, 5*v + 10 = -5*o. What is the tens digit of (-1180)\/(-25) - (o\/10 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-15)\/4)\/3)\/(4\/(-272)). Let i = a + -81. Solve -i*x - 21 = 5*u, u = -u - 4*x - 6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2589 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-35 + (0 + 10 - 8) + -6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/24 + (-613)\/(-2). Is 33 a factor of -5 + a + 1 - 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**4 - 82*a**2 - a - 5 wrt a.\nAnswer: -36*a**2 - 164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -2. Is 3 equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/255 and -10\/201331.\nAnswer: 3019965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2282.38874972 - -2164.38875. Let u = n + 118. What is u rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 14 = 4*t, 0 = t - 4*w - 0*w + 6. Suppose 0 = -t*q - 2*r + 2, 0 = -4*q + 7*q - 3*r - 33. Solve 0 = -4*x + 2*i - 8, 2*x = q*x - 3*i + 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 8:45 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 114 = 56. What is the highest common factor of 119 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/6*(-720)\/(-1000)\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 1 + 5. Suppose -28 = -x*i - i. Suppose 0 = h + 2*f - 27, -3*h = -h - i*f - 22. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*n + 17*n + 1389 + n + 1192)*(-3*n**4 + 3*n**4 + n**4).\nAnswer: -4*n**5 + 2581*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3485\/41)\/85)\/(1\/7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*q**2 - 359 + q - 11*q + 101 - 11*q**2.\nAnswer: -2*q**2 - 10*q - 258","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 4, -z - 57 = x - 0*z. Suppose o - 6*c = -c - 62, o - 2*c + 50 = 0. Let h = x - o. Is -12 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, k: 7}. Give prob of sequence akkk.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 174, 266, 360, 456, 554?\nAnswer: 654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2574 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + -2. Let o(q) = q + 6. Let c be o(h). Let f(u) = 18*u**2 - u. Calculate the remainder when f(c) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-29)\/(-1740)*-8)\/(((-54)\/(-15))\/(-3))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 7*u - 4. Let n be c(-4). Let r = 73 + n. Let j = -47 + r. What is the remainder when 17 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/3 + 8*o\/3 + 64\/3.\nAnswer: -2*(o - 8)*(o + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mossoomsmmomsmsw. Give prob of picking 2 o, 1 w, and 1 s.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 - 31 - y**4 - 3*y**3)*(0 + 3 - 5)*(-3 + 4 + 1)*(-1 + 0 + 2).\nAnswer: 4*y**4 + 12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/((-1650)\/(-40))*20\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/36*4*0. Suppose 0 = u - b*u + 350000. What is u rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/((-92)\/69))\/(6\/26)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27) + 5 - sqrt(12)\/sqrt(4)*-3.\nAnswer: 5 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 92384000 rounded to the nearest 100000?\nAnswer: 92400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-31 + 25 - -12) + 482\/(-60) and (-3)\/(-2 - -272)*-118?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 243120 and 2160.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 74 = -2*q + 6*m, 12*q = 11*q - 8*m + 153 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 65 divided by -90\nAnswer: -13\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a century in months?\nAnswer: 10560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(48)\/(sqrt(48) + sqrt(3)))\/(sqrt(8) - sqrt(48)\/(-1*sqrt(6))).\nAnswer: -sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/53)*l**(-41)*(l*((l*l\/(l\/(l*(((l**(1\/8)*l)\/l)\/l)\/l))*l)\/l)\/l)**(-3\/7) assuming l is positive.\nAnswer: l**(-121959\/2968)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -64*a + 29. Let v(l) = -15*l + 7. Give 2*n(q) - 9*v(q).\nAnswer: 7*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/(-4))\/((-55)\/(-80)*2304\/3168)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33246 is divided by 249.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-22))\/(2160\/19800)*-20.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 1:02 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9878985958 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -88 - -79. Let g(w) = -13*w**2 + 9*w - 3. Let s(z) = 3*z**2 - 2*z + 1. Calculate b*s(p) - 2*g(p).\nAnswer: -p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*y**3 - 4*y**3 + 8*y - 6*y**3 to the form z*y**2 + d*y + h*y**3 + c and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(98) + 1) - (sqrt(288) - sqrt(288)*2)*-3 - (-4*sqrt(162)*-1 - ((sqrt(8)\/sqrt(4)*2 - sqrt(2)) + sqrt(288)*-1)))**2.\nAnswer: -440*sqrt(2) + 6066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -14. Let a be (-183)\/12 - u\/(-8). Let l = 17 + a. What is the remainder when 7 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 3852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*p**4 - 5*p**3 - 195*p**2 + 2*p wrt p.\nAnswer: 480*p - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -0.14 (c) 1\/4 (d) 14\/25 (e) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 3*s = 20. Solve -4*q = -3*z + s, -z - z + 6 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/27? (a) 0.006 (b) 0.1 (c) 4\/7 (d) 3\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggwwwggggggwggggg. Give prob of sequence gw.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2012225, -2012199, -2012165, -2012123, -2012073, -2012015?\nAnswer: -2011949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33447935?\nAnswer: 5, 6689587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*b + 15, -2*p = -5*b - 0*p + 18. Let x be 6*(21\/(-6) - -4). Sort b, x, -1 in decreasing order.\nAnswer: b, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 6102.\nAnswer: 67122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a - 10*a**2 + 4*a + 4*a.\nAnswer: -10*a**2 + 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(95) - (sqrt(95) + -2*sqrt(95))*2) + sqrt(95) - ((sqrt(95) + -2*sqrt(95) + sqrt(95))*-5 + sqrt(95)))\/(-3*sqrt(45)*5) + 0)**2.\nAnswer: 19\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 10) in base 6?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 172 and 131987554.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/489944 and -131\/4004.\nAnswer: 5389384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*l**2 + 0*l + 0*l + 16*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 + -10112201?\nAnswer: -10112011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -0*w + 3*w. Let p(s) = 3*s - 33. Let v be p(8). Let r = w + v. Put r, -3, -5 in increasing order.\nAnswer: -5, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5783.0864 plus 66?\nAnswer: -5717.0864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-4 - 10) - (3465\/(-435) - -1)\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(972)*2)\/((1*sqrt(6))\/sqrt(3)))\/((1*sqrt(24) + sqrt(24))\/sqrt(8) - (sqrt(18)\/sqrt(3))\/sqrt(2)).\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 599 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 81*z**2 - 1434*z - 225. What is w(-55)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 2:35 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 136343?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -53*b - 72. Calculate the smallest common multiple of 40 and a(-4).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116 - 119 + 465 - 368*c**2 - 115 - 117.\nAnswer: -368*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4593 is divided by 652?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -4. Let d be ((-4)\/(-5))\/((-2)\/(-5)). Let g be (2 + -4)\/(3*d). What is the nearest to 2\/5 in g, 4, l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 145 * 4915\nAnswer: 712675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(70)*-4)\/(sqrt(810)*-5).\nAnswer: 4*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-1)\/5) - 0. Suppose -g*n + 1008 = -847. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/352020 and 131\/880050.\nAnswer: 1760100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7032 - 2923. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 521 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: What is next in 9332329, 18664659, 27996989, 37329319, 46661649, 55993979?\nAnswer: 65326309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 5. Let o(a) = -a**2 - 11*a - 10. Let b be o(-11). Let n = b - -8. Is z != n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3481*f**3\/2 - 15281*f**2\/2 + 5148*f - 810 = 0. What is f?\nAnswer: -5, 18\/59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/14*(-3)\/12?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 z when four letters picked without replacement from szszszssszszs.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -720*r + 6490. Calculate y(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 18*c**2 - 11*c - 15. Suppose 0 = 13*k + 46 - 7. Does 15 divide g(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02842 rounded to 3 decimal places?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -0.4, -171?\nAnswer: -171","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1)\/8 - 144830\/(-112)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 102?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 1617213.\nAnswer: -10\/1617213","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/12 + 115\/30. Let t be g\/(-22) - 1*174\/11. Is 5 a factor of 108\/t*(-6 - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vp when two letters picked without replacement from {w: 2, p: 2, v: 1, z: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*p + 26*p = 5*p + 82*p - 2322 for p.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 8. Suppose -3*q - 232 + 19 = 0. Let p = q - -109. Calculate the remainder when p is divided by j(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -7*g - 9. Let q(k) = k + 2. Let c(n) = -o(n) - 6*q(n). Let u be c(7). Solve 0 = u*b + b - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -4. Suppose 0 = -4*c + 35 + 1. What is the remainder when ((-3)\/c)\/((-2)\/222) is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1249861763?\nAnswer: 2719, 459677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/127231 and 15\/1008061.\nAnswer: 13104793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - -9. Let c = -9 + u. Let t(z) = 27*z - 17. Is t(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21052.\nAnswer: 2, 19, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -j + 10. Let p(b) = 4075 + 2*b**2 - 4073 - 4*b**2. What is p(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 13*x**2\/2 - 11*x + 1. Let d(v) = 6*v - 5. Let h(t) = 2*b(t) - 5*d(t). Is h(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5377?\nAnswer: 19, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 34, -281, -1322, -3461, -7070, -12521, -20186?\n\"Answer: -62*d**3 + 9*d**2 + 92*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-1)\/(-4)*(-80)\/(-50)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.9 + -2.9000356. Round a to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3841010611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = 5*a - 277. Let l = 1934 + -1919. What is the remainder when a is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/11 and -119\/37248.\nAnswer: 409728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 3. Let l = 9 + b. Suppose 0 = -l*p + 7 + 328. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**18*g**2)\/(g**(-2\/15)\/g**(1\/9)) assuming g is positive.\nAnswer: g**(-664\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -110010101101010?\nAnswer: -110010101101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7, -21, -47, -91, -159, -257, -391?\n\"Answer: -b**3 - 7*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/(-4) + -2 - -21) + -3. Let c be 30\/q + 850\/4. Suppose 2*x - 4*x + c = 0. What is the remainder when x is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2927\/8 + -749\/2. What is the common denominator of j and -27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 6*g**2 - 6*g - 1. Let j be l(3). Suppose 0*b - b = -5. Are j and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 234 + -390. Let s = 31 - 369. Let r = m - s. List the prime factors of r.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - 363 + 553 - 2*x + 454.\nAnswer: -x + 644","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 4*m + 2*m)*(4*m**3 + m**3 + m**3 + (-4*m**2 + m**2 + 0*m**2)*(-3*m - 2*m - 3*m)).\nAnswer: -30*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -6 - -1) + (-6 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13)\/(-52) - ((-11)\/4 + 0). Let u = -13 + 6. Let h = u + 12. Which is the second biggest value? (a) h (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 91*m - 487*m**2 + 41 + 486*m**2 + 51.\nAnswer: -(m - 92)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6171312 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 650 (b) -0.2 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 2\/11, -1\/2, 2830, 1\/6 in decreasing order.\nAnswer: 2830, 2\/11, 1\/6, -1\/2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5305 = -p, 5*x + 2*p - 26489 = 6*p. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*a**3 - 3*a**3 - 3*a + 10*a**3 - 6*a in the form o + l*a + i*a**2 + b*a**3 and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*s**2 - 50*s + 50*s)*(-4*s - 2*s + 2*s) + (-4*s - 3*s + 2*s)*(-2*s**2 - 2*s + 2*s + (3 - 1 - 1)*(4*s**2 - s**2 - s**2) + 29 + 11*s**2 - 29).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 9. Let x = k - 11. Is -1\/2 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*i + 18*i - 25*i)*(-i - i + 5*i) + 4*i**2 + 4*i**2 - 6*i**2.\nAnswer: 83*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + 4 - 1)*-13. Suppose -2*s - q = -7*s - 3*k, -5*k + 15 = 5*s. Put 4, -5, s, -1 in decreasing order.\nAnswer: 4, s, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2.7 (b) -23 (c) 2 (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -266445, -266730, -267015, -267300?\n\"Answer: -285*p - 266160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -6.9, -5.1, -9\/2 in descending order.\nAnswer: -3\/7, -9\/2, -5.1, -6.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*i + 603*i - 640*i - 22.\nAnswer: 10*i - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 20. Let q = 11 - 11.283. Let y = q + -0.017. Which is the nearest to y? (a) 1\/4 (b) i (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92 - 40. Let g = -42 + d. Suppose l = g*l - 63. Calculate the remainder when 46 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*c - 72, -2*n + 108 = -4*c + 3*n. What is the tens digit of 1\/((-98)\/c - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 67*a**4 - 1597*a + 1597*a + (3*a**3 + 0*a**3 - 2*a**3)*(3*a - 5*a + 3*a) + a**4 + 2*a**4 - 2*a**4 as t + j*a**3 + f*a + c*a**4 + s*a**2 and give c.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 960970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1051 (base 6) to base 14.\nAnswer: -139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a*a**(2\/7)*a*a)\/a)**(-2\/27)*(a**0*a)\/(a*a\/a**(3\/5)))\/((a**(1\/2))**(-15))**(4\/9) assuming a is positive.\nAnswer: a**(824\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2357862661.\nAnswer: 7, 11, 29, 1055917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*u = -252, -72 = 3*z - 3*u - 237. Let v = -48 + 93. Suppose 3*r = 6*r - v. What is the remainder when z is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -11*v**3 + 16*v**2 - 147*v. Let f(a) = -21*a**3 + 31*a**2 - 293*a. Let i(u) = 11*c(u) - 6*f(u). What is the second derivative of i(r) wrt r?\nAnswer: 30*r - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33438652\/25 or 1337545?\nAnswer: 1337545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gguuguggugugu. Give prob of picking 1 g and 1 u.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*r = -9632966, 0*r - 9632958 = 2*v - 4*r. Let d = 11116491 + v. Suppose 3*u - 2100002 = -i + 2*u, 5*u - d = -3*i. Round i to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5335 + -3858. What is the highest common divisor of 7 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t + 0*t + 4*t)*(-2 + 2 - 2*t**2) - 1 + 2*t**3 - t**3 + 0*t**3 + (3*t - t - 3*t)*(-2*t**2 - 6*t**2 + 4*t**2).\nAnswer: -15*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250*o**3 - 98*o**3 - o**2 - 5*o**2 + 358*o**3 - 8*o**3.\nAnswer: 502*o**3 - 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j - 2*j**3 - 16 + 3*j + 18 to l*j**3 + f*j**2 + c + v*j and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 2\/11, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5196218*i**4 + 11182066*i**2?\nAnswer: -124709232*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (500\/(-75))\/((-15)\/18).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -56 and 36.3211.\nAnswer: -2033.9816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 550*n. Let f be a(14). What is f rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1621 = l - 4*q + q, l = -4*q + 1621. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8985 + 8984.5. Which is the closest to -1501? (a) -0.3 (b) -2\/3 (c) 0 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19539659?\nAnswer: 19539659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*i**3 + 3*i**3 + 4*i**3)*(-i + 2*i + 5*i + (-11 + 3 - 3)*(-4 + 4 - 5*i)) to the form p*i**3 + v*i**2 + a*i + h*i**4 + k and give h.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**4\/9 - 3808*m**3 - 146546816*m**2\/9 + 261259264*m - 9414115328\/9 = 0. What is m?\nAnswer: -8576, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 8*d**2 - 3*d. Let t(w) = -2*w**3 - 25*w**2 - 9*w. Let i(s) = -2*t(s) + 7*z(s). What is n in i(n) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23996 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b + b**2 + 0*b + 4 + 5*b. Let z be j(-3). Suppose -z*g - n + 10 = -6, 4*g = -4*n + 16. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.23 (b) -0.6 (c) -5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -3. Let f(p) = p + 6. Give f(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 42028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*75\/(-60) + (-17)\/4.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i - 1. Let t be w(3). Find the first derivative of 2*u**2 - 5*u - 1 + 4 + t*u wrt u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(6\/3)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j + 9. Let x(l) = 11*l + 26. Let b(u) = -8*k(u) + 3*x(u). Suppose 0*q + 14 = -2*q. Let c = -7 - q. Calculate b(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**2 + 6. Let v(r) = 14*r**2 - 3*r + 21. Let d(m) = 17*m**2 - 4*m + 23. Let a(w) = 3*d(w) - 4*v(w). Let s(u) = -2*a(u) - 5*y(u). Factor s(f).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11327003.\nAnswer: 127, 89189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 380457, 760900, 1141331, 1521750, 1902157, 2282552?\n\"Answer: -6*a**2 + 380461*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1903766?\nAnswer: 2, 389, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7301004 + 7298379.2995. Let g = 2624.50050001 + o. Let u = g - -0.2. What is u rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (4 - 11) + 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3996000 rounded to the nearest 100000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -7. Let b = s + -16. Calculate the greatest common factor of 18 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**3 - 2*x**3 - x - x**3. Let o(n) = -4*n**3 - n. Let a be (-33)\/(-6)*(-456)\/1254. Calculate a*o(y) + 2*l(y).\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 181499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 8 - 13)*(3 + 0 + 0) + 3 - 4 - 1)*(0*v + v + 2*v + (v + 0 + 0)*(1 + 2 - 4)).\nAnswer: -100*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 8*q**2 + 3*q. Let o = 8 - 0. Let r be c(o). Solve d - 14 = -4*g + g, -4*d = -4*g + r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1265808, -2531605, -3797402, -5063199, -6328996?\n\"Answer: -1265797*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 + -11. Calculate the greatest common divisor of t and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 30 = 17*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -132*m + 139. Calculate j(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -36.57 and 493928.\nAnswer: 493891.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-174 + 176)*2\/10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three thirds of a millennium?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*x + 1 = -x, 0 = -3*z + x - 28. Let l(m) = m**2 + 4*m - 2. Let o be l(z). Calculate the greatest common divisor of o and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3)*f)**(4\/35)*f**(3\/4)\/(f\/(f*((f\/((((f*f*f**1)\/f)\/f)\/f))\/f)\/f)) assuming f is positive.\nAnswer: f**(-41\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 16 = 4*i, 3*x - 14 = -i. Let h = x - 4. Let s be ((-6)\/18)\/(h\/6). Which is the nearest to -1? (a) 4\/7 (b) s (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1 - (-34)\/10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154493 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uyprprkv. Give prob of picking 1 r, 1 u, and 1 p.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from cabraaraoaaarooaba?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.02965 + -1.071499. Round d to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1580 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 1370*j**2. Let m(z) = 2*z. Calculate m(b(w)).\nAnswer: 2740*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 480 = -10*b. What is the remainder when ((-51)\/5)\/(-5 - 392\/b) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -9. Suppose 0*d + j*d - 10 = 0. Calculate the smallest common multiple of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 16*i + 20*i - 14*i.\nAnswer: -10*i + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*n + p = -157, -4*n = -5*p - 177. Let t = -34 + n. Sort t, 29, 2, -3 in increasing order.\nAnswer: -3, 2, t, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1032 divided by 258\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -358 + 353. Sort d, 4, -3, -77 in increasing order.\nAnswer: -77, d, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 13*m**2 - 11*m - 10. Let d be w(12). Let v(b) = 5 + 4*b**2 - 2*b - 6 + 2*b. Let h(q) = 5*q**2 - 3*q**2 - 3*q**2. Calculate d*v(z) + 6*h(z).\nAnswer: 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (2 - 5) + 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/4)\/((2 - 1) + 4). Let t = -31\/140 - 1\/35. What is the closest to 0 in p, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 bigger than 7272\/685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -360.885 - 0.115. Let n = l - -360.9. Which is the third smallest value? (a) 2 (b) n (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4162571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2874?\nAnswer: 2, 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j - 11668 = -37746. Let n = j + -1001. What are the prime factors of n?\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1267475.\nAnswer: 5, 11, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 212a2?\nAnswer: 2129b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 7*n**2 - 2*n + 6. Let l(k) = 3*k + k - 15*k**2 + 4 - 17. Let q(m) = 6*l(m) + 13*z(m). Suppose -82*o + 1329 = 361*o. Calculate q(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-12) - 70\/(-6). What is the tens digit of 6\/(-4) - (-210)\/t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -26709*b**2 - 80165*b - 1. Determine h(-3).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, d: 2, n: 2}. Give prob of picking 2 d.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*z**5 - 2721*z**4\/5 + 3561*z**3\/5 + 429*z**2 - 630*z = 0. Calculate z.\nAnswer: -10\/11, 0, 1, 7\/5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-3*sqrt(77)*1)\/(5*-1*sqrt(11)) + -3 + -2).\nAnswer: -10 + 6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of b**4\/6 - 381*b. Suppose 0 = 4*r - 2*g - 4, -r + g = 2*r - 2. Let a(l) = -3*l + r*l + 4*l. Determine q(a(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 0*w + 4 - 4*w + 3*w. What is the tens digit of v(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 1. Let d be g(-3). Let j(y) = 17*y**2 - 2*y + 5*y - y - 14*y**d. Give j(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 45 + 65. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*l + 599*l + 169970 = 979*l + 894*l for l.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17520 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*a + 3. Is 12\/11 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 37*q - 3. Let j(b) = -75*b + 7. Determine -3*j(p) - 7*o(p).\nAnswer: -34*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12173*n**2 - 9912*n?\nAnswer: -24346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4806*u = -4889*u - 9794 for u.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2701 + 1145 = 2*n, -4*o + 3849 = 5*n. List the prime factors of o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l - 9. Let i be z(-6). Let m = -832 + 494. Let t = -325 - m. Which is bigger: t or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 8*l - 37 = -55, 2 = 3*r - 2*l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3965*p**2 - 152 + 152.\nAnswer: 3965*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + 598.02997915.\nAnswer: 597.92997915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -20*a - 143. Is j(-17) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 34.01923m?\nAnswer: 34019230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4 = 3*b. Let n be (18\/(-21516))\/(b\/4). Let j = n + 127255\/28688. What is the common denominator of 73\/20 and j?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 9*n**2 + 2*n + 18. Let h be a(-9). Solve 2*y + y + 12 = h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**17*x\/(x\/x**34)*x)**(-2\/51))**(-12\/7))**(-40) assuming x is positive.\nAnswer: x**(-6080\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 3*i**2 - 2*i + 11. Let s be n(-4). Suppose -5*a - s*g + 24 = -2*a, 5*g - 32 = -3*a. What is the greatest common divisor of 2 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32*(-96)\/2816 + 446\/429 - (-128)\/(-39)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16181878 to the nearest integer?\nAnswer: 4023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6072 + 9930. What is the thousands digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**3*r)\/r)\/(r*r**(-3\/5))*(r\/(r*(r*(r\/r**(-1\/3)*r)\/r)\/r))**39 assuming r is positive.\nAnswer: r**(-247\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 4\/11, 1\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**2 + 2*m**2 - 6*m**3 + (4*m - 5*m + 0*m + 2*m**2)*(-3 + 3 + m) in the form v + p*m**2 + b*m + c*m**3 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -113 + 3463*k - 3685*k - 106 - 3*k**2.\nAnswer: -3*(k + 1)*(k + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-6) - ((-92268)\/(-54))\/(-22). What is the greatest common factor of 2622 and q?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 465?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 3\/7, 1\/3 in decreasing order.\nAnswer: 3\/7, 1\/3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3184\/(-88) - (-4)\/22. Let h be 6\/(-9)*w\/8. Suppose h*o = t + 1053, 4*o + 0*t + t - 1397 = 0. Round o to the nearest ten.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 65, 2, 0.486, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 150*t**2 + 37*t + 72. List the prime factors of c(-2).\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -0 - 3. Suppose 2*m - 3*n = 6*m - 66, -69 = -5*m + z*n. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 39.39574l?\nAnswer: 39395.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 178 + 43 + -197 - (49 + -1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3*2*sqrt(847)*-2 - (-4*(0 + sqrt(847)) - 5*2*sqrt(847))))**2.\nAnswer: 572572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.3 * -0.5.\nAnswer: -1.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2288 by 4.\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.2 (b) 2\/515 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2331 - -2334. Sort 2, -76, s in descending order.\nAnswer: s, 2, -76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/4 - 753*i**2\/2 - 3009*i\/4 - 376.\nAnswer: -(i + 1)**2*(i + 1504)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 0 + 0*z - 4\/3*z**3 - 1\/10*z**6 - 1\/105*z**7 - z**4 - 13\/30*z**5 + 13*z**2. Factor d(k).\nAnswer: -2*(k + 1)**2*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1872) + 6*(0 + sqrt(1872) + sqrt(1872))) - -3*4*(sqrt(1872) + 3))**2.\nAnswer: 44064*sqrt(13) + 4870368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/3 + 2984*u\/3 + 11920\/3.\nAnswer: (u + 4)*(u + 2980)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 603 is divided by 119?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77366 and 202?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of k**5\/6 + 3*k**4\/8 - 6*k**3 + 3*k**2 - 11*k. Does 27 divide s(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a1d (base 16) in base 3?\nAnswer: 10112220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 534 = -o - 3*o, 0 = -o - 1. Suppose -2*c - k = 2*c + n, 5*n = 15. Let y = 127 + c. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 63 - 7*n**2 + 18 + 44*n**2 + 20.\nAnswer: 37*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 42\/11, -5, -5\/172 in descending order.\nAnswer: 23, 42\/11, -5\/172, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/5)\/((-38)\/(-475))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1313 at least -1323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-30)\/(-108))\/((-2)\/(24\/22))?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 14*m - 4. Let t be f(14). Sort -1, -5, t in ascending order.\nAnswer: -5, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2198 is divided by 348.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + -653066?\nAnswer: -653105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(363)*-1 + 5*(sqrt(300) - -1*sqrt(300))*-5)**2.\nAnswer: 594075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5686745017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 273817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1892\/(-22) + 32445\/412.\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70929191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 0.1, -3\/5 in increasing order.\nAnswer: -1, -3\/5, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/(-35))\/(2\/7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 82 and 10?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15716 - 9120. Let b = t - 3850. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.28 - 5.28. Sort 6, -1, t, 1\/8 in descending order.\nAnswer: 6, 1\/8, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -38388, 1, 4, -7 in decreasing order.\nAnswer: 4, 1, -7, -38388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 2*h - 0*h + 1, j = -h + 5. Suppose -b - g - j = 0, -b - 3*g + 5*g = -12. Find the second derivative of 99*c**2 + 6*c**4 - 99*c**b + c wrt c.\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/9533 + 27899\/3336550. Let v(j) be the third derivative of 1\/30*j**3 + 11\/150*j**5 + 1\/25*j**6 + 1\/15*j**4 + s*j**7 + 0 - 10*j**2 + 0*j. Factor v(x).\nAnswer: (x + 1)**2*(3*x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i**2 - 7*i + 2. Let o(l) = -l**2 - 4*l + 1. Let t(g) = -2*a(g) + 5*o(g). Suppose -114 = -4*x - 15*x. Give t(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(300) + 1 - (sqrt(72)\/sqrt(6) - (sqrt(3) - (sqrt(432) + (sqrt(432) - (-1 + sqrt(432)))))))**2.\nAnswer: -24*sqrt(3) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -2*l**2 - 6*l + 5. Let q(m) be the second derivative of -m**4\/12 - 5*m**3\/6 - 7*m**2\/2 + 536*m. Determine -4*q(x) + 5*u(x).\nAnswer: 4*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011111000101011 (base 2) to base 7.\nAnswer: -1151351","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -47? (a) 4 (b) 2\/9 (c) 3 (d) 5 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 - 1866 = -4*m. Suppose 0 = 9*a - 6*a - m. Let x be (38 + 1)*(-5)\/(-15). Calculate the highest common divisor of a and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 12*x**2 - x - 1. Let j be f(-2). Suppose 0 = 3*d - 4*d + j. Suppose -q - 7 = -2*q. Calculate the highest common factor of q and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 0*l**3 - 4*l**2 + 0*l**2 + 16 + 6*l - 22 + 3*l**3. What are the prime factors of h(3)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-36*n - 4*n - 50*n)*((14*n - 9 + 9)*(1 + 0 - 3) + (-1 + 2 + 2)*(-3*n + 5*n + 0*n)) to the form s*n + y + b*n**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 12. Let f be (12\/8)\/((-2)\/4). Let b(x) = -2*x - 2. What is the remainder when w is divided by b(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 243 in 2, -8, -70, 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 154, -9, -83296 in descending order.\nAnswer: 154, -9, -83296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3139 is divided by 673?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9.484449 millennia?\nAnswer: 9484.449","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from obowobbwob. Give prob of picking 2 o, 1 b, and 1 w.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126, -158, -188, -216, -242?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203114 is divided by 50775.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*4*(-39)\/(-39)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w = 26*w. Solve w = o - 3*j - 11, 2*o = 6*o + 3*j - 14 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/194880 and -131\/120640.\nAnswer: 2533440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 220122020022 (base 3) in base 7?\nAnswer: 4056602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 + 66*p**2 - 72*p - 136.\nAnswer: 2*(p - 2)*(p + 1)*(p + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 1384*f - 3332*f + 1570*f in the form l + v*f and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66780, 66798, 66816?\nAnswer: 66834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.884 + 8.043. What is l rounded to 1 decimal place?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 265552 by 7.\nAnswer: 37936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 720 and 160?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/4 and -0.043 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 2a7?\nAnswer: -2aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -78 + 77.99788. What is w rounded to four dps?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.33 rounded to 1 decimal place?\nAnswer: -10.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*-3*((-4 + (sqrt(448) - (-1 + (sqrt(448) + 0 - sqrt(448))))**2)*2 + 0).\nAnswer: -2674 - 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/5, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -129 divided by 2\nAnswer: -129\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -w + 57, 40*w - 20*w - 28*w - 246 = -15*j for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 801760 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/980 and -54\/5005?\nAnswer: 140140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 939042 divided by 100?\nAnswer: 469521\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 203 and 2378?\nAnswer: 16646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*m - 8 = 0, 3*s - 7*s = -4*m. Let q be (202\/s)\/(-1 + (-27)\/(-30)). Suppose 303 = 3*k - 4*t, 5*k + 4*t = 3*t + q. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i + 3222 + 338. Let j = 439 - i. Are j and -63\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -846, -3493, -7914, -14115, -22102, -31881, -43458, -56839?\nAnswer: -72030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2 + 15*s - 24. Let u be f(6). Which is the biggest value? (a) u (b) 1 (c) 1\/12 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4627629, 4627621, 4627609, 4627593, 4627573?\nAnswer: 4627549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*u - 1517 = -98978. Which is greater: u or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -7*a + 218. Give c(30).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -f**6\/15 - 143*f**5\/5 + 697*f**3\/3 - 813*f. What is the second derivative of k(v) wrt v?\nAnswer: -24*v**2 - 3432*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 220158831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 15*k**2 + 5*k + 7. Let v be j(-2). Let d = v + -18. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -687 or -3001?\nAnswer: -687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -3*v - 39 + 76 - 26, t + 1 = -3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 244 - 240. Suppose 12*y = -k*g + 7*y + 1945, -4*y - 940 = -2*g. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, e: 1, s: 3, p: 1}. Give prob of sequence ve.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 1963.\nAnswer: 1, 5, 1963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62128 - 34125. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-217*f - 6*f**2 + 217*f)*(-3*f - 2*f + 3*f)*(-1 - 1 + 1).\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-27) + 22\/18. Let v(t) = -t - 4*t**2 + s + 0*t + 5*t**2 + 2*t. Let o(l) = -3 + 8*l**2 - 2*l**2 + 7 + 4*l. Determine o(p) - 4*v(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 8*r**2 - 9*r - 9. Let v be o(-7). Let t(i) = 11*i**3 - 4*i - 5. Let d be t(-2). Let j = -81 - d. Solve j*m + 1 - v = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3568, 14282, 32142, 57148, 89300, 128598?\n\"Answer: 3573*h**2 - 5*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 + (-7 - (0 + -3)). Let a be 0 + 0 + t - 1. Suppose 3*s - 240 = -a*s. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109227 is divided by 840.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 3:51 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 42*f + 45*f + 50*f + 42*f to k + z*f and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1801050, 1801049, 1801048, 1801047, 1801046, 1801045?\n\"Answer: -i + 1801051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1 = k. Let h(f) = -7 + 6*f + 8 + 2*f - 3*f. What is the remainder when 11 is divided by h(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, -31, -138, -329, -628, -1059, -1646?\nAnswer: -2413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**1*j)\/(j\/(((j\/(j\/((j*j**(-24)*j)\/j)))\/j)\/j)))\/((j\/((j*j**10)\/j))\/j**(1\/10)))**(21\/4) assuming j is positive.\nAnswer: j**(-3129\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 6 + 3*q)*(0*q + 2*q + 20*q**2 + 0*q) as l*q**2 + v + o*q**3 + i*q and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1332398 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(91) - ((sqrt(91) - 4*sqrt(91)) + sqrt(91))) + sqrt(91) - sqrt(91)) + sqrt(91) + (sqrt(91) - -2*sqrt(91)*3))\/(-4*sqrt(252)*3).\nAnswer: sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -80, -63, -46, -29, -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -575208*w**3 - 576361*w**3 + w**2 - w**2 + 1151571*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s**2 - 3 - s**2 + 10*s + 4*s**2 - s**3 - 7*s**2. Let b(m) = 4*m**3 - 3*m**2 + m - 2. Calculate the remainder when b(3) is divided by r(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-24)\/16)\/((-6)\/8). Let z be (u - 1)*(8 + -9). Let k be 2\/(-6)*3\/2. Is k > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + v + 1. Let a(w) = 4*w**3 - 12*w**2 - 88*w + 24. Let l(f) = -a(f) + 24*g(f). Determine d, given that l(d) = 0.\nAnswer: -7, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 1\/1)*324\/(-3). Suppose -2*t + y = -2. What are the prime factors of t?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -17. Let t(h) = 5*h + 77*h**3 - 4*h + 0*h - 1. Is t(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1520 is divided by 110?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -21. Suppose 113 = 5*k + y*q, q = -2*k - 11 + 55. Calculate the greatest common factor of 210 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-172 + 96 - -68) + (-7 - 0).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 30, 39, 62, 105, 174, 275, 414?\n\"Answer: a**3 + a**2 - a + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 2. Let d be 0 - (-3 - 11\/(-3)). Let u be (2 + -1)*3 + (-102)\/68. Which is the nearest to t? (a) 3 (b) u (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 23 - (2 - 31).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61980476\/9 - 6895245. Let j = 34085\/4 + k. Calculate the common denominator of j and 23\/60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 68*t - 71*t + v, 2*t + 5*v + 1 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a gram in milligrams?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from deeddddddee. Give prob of sequence eeee.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*c - 503 = 64*c + 465 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 10, 4*b - 3 = 3*j + 11. Suppose x + 0*x + b = 0, 3*y + 2*x = -25. Let c be 18\/(-6)*(y - -1). Calculate the highest common factor of 48 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**3*r**2 - 39954424*j**3*r - 10971*j**2*r**2 - 447*j*r**2 wrt r.\nAnswer: -2*j**3 - 21942*j**2 - 894*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*h*t**2*y + 92*h*t**2 + 20*t**2*y + 10*t**2 wrt h?\nAnswer: -3*t**2*y + 92*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 119 = 4*a - 13*a for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 4 + 1)*(-1 - 2 + 1) - 38 - 90 + 15 + (3 - 3 + 4)*(-5 + 2 + 2))*(5*h + 7*h - 5*h).\nAnswer: -791*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 19*(-18)\/(-1254)*1\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-3)*(-99)\/132. Let z be (1 + 1)\/((-2)\/(-3)). Let s be -2*((-15)\/m)\/z. Solve 0 = 4*n - s*i + 11, 0 - 19 = 5*n - i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3 = 7. Put -4, -5, j in descending order.\nAnswer: j, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1377752 times -1.2?\nAnswer: 1653302.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 46366\/85 less than or equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*t**2 + 147*t - 147*t)*(-2*t + 1 - 1) + 65605*t + 1 - 65605*t + 15*t**3 to the form j*t**3 + f + u*t**2 + y*t and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*s**4 - 11*s**2 + 11*s**2)*(-4*s + 4*s + s)*(-2 + 3 + 2).\nAnswer: -30*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d - 4. Let m be ((-10)\/3)\/(2\/3). Suppose -4*u - 2*f + 4 = 8, -12 = 3*f. Let z(a) = -a - 1. Calculate m*z(p) + u*o(p).\nAnswer: 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -126*v**3 + 502*v**2 - 39*v + 174. Determine n(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 5*j + 121*n - 124*n, 5*j + 2*n = 22 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(4\/(-14))*40. Let n = x + 207. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 2016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 2\/11, -2, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21\/(1\/12*9). Let z(y) = 20*y - 44. Let p = 25 + -13. Let l be z(p). What is the greatest common factor of x and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**2 + 107*v + 37. Let l(m) = -3*m**2 + 106*m + 26. What is 2*j(k) - 3*l(k)?\nAnswer: 3*k**2 - 104*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1764 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 46749 and 0.4.\nAnswer: 18699.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -108 + 166. Suppose 3*v = 4*k + 82, 2*v = 2*k - k + p. Calculate the remainder when v is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -8*h - 6. What are the prime factors of p(-10)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 21. Let r(a) = -a**2 - 27*a - 22. Calculate the smallest common multiple of r(-26) and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**5\/7 + 1724*u**4\/7 - 69624*u**3\/7 - 215240*u**2 + 3215356*u\/7 - 234396 = 0. What is u?\nAnswer: -17, 1, 63, 383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -14. Let a(m) = -7*m + 5 + m - m + z*m. Let g(p) = -5*p - 2 + 3*p + 0*p - 7. What is -7*a(f) - 4*g(f)?\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 68711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, -105, -106, -107?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*t = 183*t + 680, -2*t - 32 - 46 = 2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**4 - 5*m - 2*m**3 - 193*m**2 - m**3 - 3*m**3 + 0 + 2 + 192*m**2 to the form l + p*m**4 + j*m + u*m**3 + a*m**2 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -3. Suppose s - f = 2. What is the second derivative of s*z + 2*z**3 - z**3 - 8*z wrt z?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*f**3*k*r**2 + f**3*k*r - f**3*r**2 + 3*f**3*r - 3*f**2*k*r + 37*r**2 + 346 wrt r.\nAnswer: 22*f**3*k - 2*f**3 + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1921492462 to the power of 1\/3, to the nearest integer?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -0.64.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3513, -13475, -30099, -53391, -83357, -120003?\nAnswer: -163335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -34415*f*o + 20423*o wrt f?\nAnswer: -34415*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 + 17*i - 6. Give m(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 438173742057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 15 + 145. Let r(s) = -9*s**2 + 73*s - 57. Let h be r(7). What is the greatest common divisor of y and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 - 93\/(4185\/(-1710)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1855*x = -1098*x + 1077*x - 43148 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200) - (sqrt(200) - sqrt(200)*-3*4)**2.\nAnswer: -33800 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 17764*t**2 - 39*t + 26. Let l(p) = -2961*p**2 + 6*p - 4. What is 13*l(s) + 2*u(s)?\nAnswer: -2965*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 305\/25 + (-3)\/15. Let d(m) = -m**2 + 20*m - 10 - 5*m - m. Is d(j) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*p - 3*r = 5, 3*p - 5*r - 40 = 0. Which is smaller: p or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y - 5. Let s(w) = -w + 4. Let z(k) = 5*s(k) + 4*t(k). Let m(l) = -8*l - 3. Let q(h) = -55*h - 20. Let j(a) = -20*m(a) + 3*q(a). What is j(z(u))?\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18\/(-6))\/((-6)\/(-4)). Let k be (x\/4)\/((-3)\/18). Suppose k*t = 2*n + 100, -5*t - 2*n = 2*n - 152. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -21, -29, -61, -129, -245, -421?\n\"Answer: -2*u**3 + 6*u - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4928*b - 7031 wrt b?\nAnswer: -4928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-115)\/(-1) + (4 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*(6 + 120\/(-18)). What is the derivative of -78 - 17*d + 6*d + 5 - h*d**3 wrt d?\nAnswer: -12*d**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i. Let g(w) = -w**3 + 15*w**2 - 14*w + 13. Let v(m) = 3*a(m) + g(m). Let n be v(13). Suppose 5*b - n = -0*b. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + l - 5 = 10, -4812*l = 7*p - 4817*l + 76 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47017282, 47017284, 47017286, 47017288, 47017290, 47017292?\nAnswer: 47017294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -15*d**2 + 24*d - 24. Let i(r) = 17*r**2 + 3 + 9 - 12*r - 10*r**2. Let v(m) = -9*i(m) - 4*q(m). Solve v(j) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 260.08 to zero dps.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -319 (base 13) to base 11.\nAnswer: -441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2 + 14*p - 20 = 0. Calculate p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**5\/60 - f**4\/8 + f**3\/3 - 8*f**2. Let n be m(1). Does n = 5\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329*b = -3846 - 102 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 3*v**2 - 4*v + 3. Let k be a(4). Suppose -2*u = -k*u + 13. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13970 + -33?\nAnswer: 13938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 22 (b) -21 (c) 5 (d) -5888\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -283 + 1290. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1420\/(-8)*(-1188)\/110.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/9 (b) -0.5 (c) -2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -326 + 393 - 67 + 2*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 581.67 rounded to the nearest ten?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 31*s + 240. Let t be j(16). Determine r, given that t - 1\/4*r**3 - r**2 + 0*r = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**5\/30 + k**4\/18 + k**3\/9 + 9*k**2. Factor n(s).\nAnswer: -2*(s - 1)*(3*s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.28 + 4.28. Which is smaller: 7.3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158842*k + 3 - 295253*k - 4970*k - 4.\nAnswer: -459065*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 48176777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**5\/60 + k**4\/2 + 10*k**3\/3 + 11*k**2 - 3. Factor b(h).\nAnswer: (h + 2)*(h + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3396*f + 1306*f + 1203*f + 1165*f.\nAnswer: 278*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 0, -3, 0, 9, 24, 45, 72?\n\"Answer: 3*b**2 - 12*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 - 48. Suppose 2*q - 3*h = 33 - 3, 0 = 5*q - m*h - 66. Let s = 80 + q. Calculate the remainder when s is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 65414784.\nAnswer: -1\/16353696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -25990*w**2 - 225*w + 97. Let g(y) = -19492*y**2 - 172*y + 73. Let b(n) = 9*g(n) - 7*l(n). What is the second derivative of b(j) wrt j?\nAnswer: 13004","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 - 51.9. Let x = -11968\/437 + 522\/19. What is the nearest to j in -2, 0.01, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 132 - -225?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1032030 (base 5) to base 9.\nAnswer: -26328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001146435756 rounded to 6 dps?\nAnswer: -0.001146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2\/11, -1\/6, 0, -0.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -295250.4 - 12.54.\nAnswer: -295262.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 0.12700671.\nAnswer: -3.87299329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 111 - 43. Suppose -p*q + 79614 = q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/4109654 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-10)*(2 + 3). Let m be (-1)\/(-2) + (-25)\/k. Suppose 0 = 3*n - 56 - m. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c**3 - 2*c**3 - c**3)*(4 + 1 - 1)*(-3 + 2 - 2) to the form z + t*c**3 + x*c + k*c**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(57) - ((-1*sqrt(684))\/sqrt(12) - sqrt(57)))\/((sqrt(36) - (sqrt(288) + 1*sqrt(288))\/sqrt(8))\/sqrt(12)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 3:09 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-408)\/4 - 3)*-1. Suppose -7*c - 8*c + l = 0. What is the second derivative of 17*z + 16*z + 0*z**4 + c*z**4 wrt z?\nAnswer: 84*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -31?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-55)*132 - 25.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(2\/5)*a*a**(-2\/21))\/((a\/a**(6\/5))\/(a*a**1\/a*a))*((a*a**(-2\/3))\/((a**1\/a)\/a))**(3\/20) assuming a is positive.\nAnswer: a**(82\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0604098668 to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -8*t**3 - 5*t**2 - 19. Does 13 divide j(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*h**2 + 23*h**3 + 24*h**3 + 29*h**3 - 29*h**3 wrt h.\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -10000110000101010?\nAnswer: 10000110000100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 0, -2 + 13 = -l - 3*h. Let i(v) = -10*v**3 - 6*v**2 + 5*v + 1. Let c(q) = 19*q**3 + 11*q**2 - 9*q - 2. Calculate l*i(r) - 6*c(r).\nAnswer: -4*r**3 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*t + 12. Let p be 10\/(-4)*(0 - 2). Suppose -5*g = -3*m - 8, -5*g + g = -4. Put p, m, t in ascending order.\nAnswer: t, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -519? (a) 0.12 (b) -0.4 (c) 2 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -732696 (base 10) to base 4.\nAnswer: -2302320120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -2\/13 (c) 2 (d) 126\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 225 * 0.2\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((9 + -5 - -1) + -8 - -7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pj when two letters picked without replacement from {p: 1, j: 1, h: 1, s: 2, k: 1, v: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27709860 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/4 - 165\/66.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -6*q**3 + 3*q**2 - 3*q + 1. Let z(l) = 5*l**3 - 2*l**2 + 2*l - 1. Suppose 3*w - 7*w - 6 = -2*i, 2*w + 2*i = -6. Calculate w*v(o) - 3*z(o).\nAnswer: -3*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -86777 - -559485636.\nAnswer: 559398859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (115\/10)\/(52\/6). Let g = -14\/13 + w. Let j = 7 - 12. Which is the third smallest value? (a) g (b) 0.8 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556132227.\nAnswer: 3, 7, 67, 395261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1950 - 1731 = 72*m + 23*m - 1021 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 1. Suppose 0 = 5*l + 43 - 13. Let d = -17 - l. Let v(p) = -5*p**2 + p - 5. Let i(u) = d*j(u) + 2*v(u). Suppose i(s) = 0. What is s?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 - 21*s - 210. Calculate x(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1081379, -1081380, -1081381, -1081382?\n\"Answer: -o - 1081378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*b**4\/7 + 326*b**3\/7 - 1511032*b**2\/7 - 2078138*b\/7 - 566796\/7 = 0.\nAnswer: -317, -1, -3\/8, 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 41 - -5025204?\nAnswer: 5025245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.54789 - -0.553. Let x = 3 + -2.995. Let f = x - m. What is f rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/8 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.5, 5, -2\/3, -0.08493?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -100 + -17?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-75) + 39634\/6650\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 5*l**4\/6 - l**2\/2 - 24*l. Let k be (1 + -2)*5*-1. Suppose 4*v = -i + 2, v - 3*i + k = 12. Determine t(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -7*m - 44. Let f(y) = 2*y + 12. Let x(p) = 22*f(p) + 6*i(p). Let o(v) = 149*v + 8. Let d(b) = -o(b) + 6*x(b). What is the derivative of d(c) wrt c?\nAnswer: -137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**2\/10 + 41431*r\/10 - 11927716\/5 = 0. What is r?\nAnswer: -41999, 568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.10739071 - 3638700.9\nAnswer: -3638701.00739071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 51 - 0?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-36))\/((56\/8)\/63)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/169 and -56\/3.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 35\/15)\/(4\/(-12)). Let k(o) = o**3 + 9*o**2 - 8*o + 23. Let s be k(i). Let d(y) = 2*y**2 + y**3 - s*y + 0*y + 4*y**2 + 5*y + 6. What is d(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/14 (b) -436 (c) 6 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1221.\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3436 + 210?\nAnswer: -3226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + y - 19 = -0*w, y = 3*w - 65. What is the common denominator of ((-9)\/w)\/(9\/(-96)) and 51\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 476352 to the power of 1\/2, to the nearest integer?\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14778843?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -124482360 divided by -40\nAnswer: 3112059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1178\/79 - 159815\/869. Let k(w) = w**3 - w**2 + w - 199. Let f be k(0). Let q = n - f. Which is the smallest value? (a) 4 (b) q (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1163*y + 101 = 1264*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (125 + -118)*-24*(-38)\/28. Calculate the greatest common divisor of v and 171.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 3 + 18. Let r(y) = -7*y**2 - 5*y. Let a(w) = 8*w**2 + 6*w. Let o(d) = n*a(d) + 6*r(d). Let v(p) = -27*p**2. Calculate o(v(b)).\nAnswer: -1458*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*w - 5*g, 2*g = w - 11 - 29. Suppose 0 = -5*p - 3*q + 166, 3*q = -3 + 9. Suppose -27*z = -329 + p. What is the remainder when w is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 208.0178 - 0.0178. Let v = m + -210. Are 11 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19196.68mm to nanometers.\nAnswer: 19196680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*r + 22 = 0, -5*x - 9*r = -4*r - 5. Solve x*n - 2 = -2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 1. Suppose -40 + 33 = t + 3*z, -5*t = -3*z - 1. Let c(d) = -d - 4. What is t*c(i) + 4*h(i)?\nAnswer: i + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 10:55 PM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -1, 5, -47, -803 in ascending order.\nAnswer: -803, -47, -9, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 576 + 1008. What is the highest common divisor of y and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a02 (base 12) in base 8?\nAnswer: -2642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5\/4, -1, 0.05?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 8, 0 = -0*o + 4*o + 2*x + 4. Suppose -1 = -5*t + 44. Calculate the least common multiple of o and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -183111545072828 + 0.2\nAnswer: -183111545072827.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 5 = 4*g, -22*z + 3 = -17*z - 2*g for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17589 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, g: 1, z: 4, j: 5}. Give prob of picking 2 z and 1 g.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and -3273.301.\nAnswer: -3274.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 18*i + 322. Let t be g(-18). Let b be (-3)\/2*24\/27. Sort t, b, 0.04, -0.2 in descending order.\nAnswer: 0.04, -0.2, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 + 2*w - 5. Suppose 4*n - 3*x = -n + 23, 6 = 2*n - 2*x. Suppose k - n + 3 = 0. Let l(m) = -m**2 + 2*m - 4. Give k*l(t) - 3*z(t).\nAnswer: 2*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 5:00 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -593985 divided by 5.\nAnswer: -118797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 13746*n - 852284. What is k(62)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 32 = -u. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(76)*5.\nAnswer: 3 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3852\/2765 - -225\/553. Solve p*n**2 + 0 - 21\/5*n**3 - 3\/5*n**5 + 0*n + 3*n**4 = 0 for n.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3021112.\nAnswer: 2, 101, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 61*v - 173494 + 169956 for v.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**3 + 4*o**2 - 5*o - 4. Let s be f(4). Suppose 0 = -4*h - 4*y + 304, h + h - s = 2*y. Is 20 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2 + 43*t**4 - 107*t**4 + 63*t**4. Let w(n) = -13*n**4 - 2*n**3 + 294. Let q(g) = -6*v(g) + w(g). Differentiate q(p) with respect to p.\nAnswer: -28*p**3 - 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 - 3*g**3 + 2*g**3 + (g**2 - 2*g**2 + 2*g**2)*(-3*g - 3*g + 3*g))*(192*g**2 - 235*g**2 - 752*g**2).\nAnswer: 4770*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 13, o: 3}?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 26. Let s = 30437.78 + -30438. Which is smaller: f or s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2186 less than 2186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 50763244 a multiple of 1368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/866 and 16\/131?\nAnswer: 113446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 - 45. Let j(i) = i**3 + 12*i**2 + 4*i - 9. Let a(s) = s**3 + 13*s**2 + 4*s - 10. Let k(h) = 4*a(h) - 5*j(h). Is 10 a factor of k(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166, 164, 162, 160, 158?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, a: 3, o: 3, y: 5}. Give prob of picking 3 y and 1 o.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369*l - 477*l - 2808 = 0 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -216351*p**3 + 16249274*p?\nAnswer: -1298106*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80254, 159853, 239452?\nAnswer: 319051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 42, 26, -34, -156?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qquq when four letters picked without replacement from jqueqejsjqjqejsqseu.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r = -4*r. Let q be 0\/(5 + r) - 26*2. Let y = q - -179. List the prime factors of y.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**3 - 40*f**2 + 35*f - 42. What is j(19)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -123 + 123.4. What is the nearest to 0.3 in 3, b, -6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vavs?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*v - 2*h, 4*v - 38*h + 39*h = 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2521*i - 54 = 2514*i - 5 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 - -57. Let u(z) = z**3 - 3*z**2 - 5*z + 2. Let r be u(w). Let h be r - (-24)\/15 - 27\/(-5). Solve -h*l + p + 1 = -2*l, 0 = -3*l + 2*p - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13024 - -2930393\/225. Which is bigger: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -70 - 17*a**2 + 70 - 212 + 212 + 11*a**2 + (-1 + 5 - 7)*(a**2 + 3*a**2 - 2*a**2) + (-3 + 3 + a)*(-a - 2 + 2) in the form x*a**2 + f + s*a and give x.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -t**7\/98 + 3*t**6\/70 - 9*t**5\/140 + t**4\/28 - 15*t - 6. Let o(h) be the first derivative of p(h). Let o(s) = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + -35 + 34 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4647669609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -10 + ((-247)\/(-2))\/13. Let f = -9 - -6. What is the closest to h in 1\/8, f, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88 - 145 + 70 - 2*x.\nAnswer: -2*x + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**5\/12 - v**3\/6 + 5*v**2. Let p be i(-1). Solve p = 4*d + 4*f, -2*f = -2*d - 2*d - 26 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1531706996 divided by -1.\nAnswer: -1531706996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8\/62 + 79712\/(-6572)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310025 is divided by 179.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 i when two letters picked without replacement from {e: 5, k: 13, i: 2}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.13 - -0.294. Let n = 0.1638624 - v. What is n rounded to five decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -12*u**2 - 5*u + 10. Let i be p(3). Let t = 114 + i. Which is greater: 1\/3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3311*f**2 - 1 - 2419*f**2 - 3745*f**2)*(12 - 4 + 1) as t*f + w + r*f**2 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -696*u + 348*u + 343*u. Suppose 2*d + 3*v + 2 = 0, -3 + 9 = d + 5*v. Let f(w) = -9*w. Determine d*f(l) + 7*r(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.014 (b) 2\/3 (c) 5\/2 (d) -1\/2 (e) 1\/3 (f) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.08, 2135, -0.6, 0, 22, 0.4?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/(((-24)\/(-8))\/((-204)\/(-2)))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-18)*-3*(-150)\/(-40). Solve -3*n = -8*n + 5*m - 15, -l*m - 25 = 3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (828\/48 + -12)) + 10 + 10\/4?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -178, -226, -328, -532, -886, -1438?\n\"Answer: -8*i**3 + 21*i**2 - 55*i - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = l - 4*l + 4, 0 = 3*l - y - 10. Suppose 0 = -8*w + l*w. Suppose 0 = a - 5, -x + w*a - a = -68. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = p + 7, 4*s + 5*p = 3*s - 5. Suppose -b - 3 = -j, -s*b + 3*j + 3 = 8. Find a such that -15*a**2 - 3*a + 3 + 9*a + 18*a**b = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -i**4\/4 - 2*i**3 + i**2\/2 - 7*i - 1. Calculate u(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*3\/(12\/(-10))*(-26)\/13.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5538676.\nAnswer: 2, 11, 13, 23, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1522960 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 576, 1157, 1736, 2313?\nAnswer: 2888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 13.6. Let i = 0.4 + q. Let r be 7\/(-12) - ((-140)\/(-21) + -7). Which is the nearest to -2? (a) r (b) i (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + (-85)\/46)*4\/7. Which is the third smallest value? (a) 1\/2 (b) t (c) 0 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -4*k - 2*h, 5*h = -k - 3 + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y - 1 + 6*y + 3*y. Let k be d(1). Put -0.5, k, -0.3 in increasing order.\nAnswer: -0.5, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65 - 1059\/16. Find the common denominator of 95\/112 and j.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56\/(-64)*4*4\/(-2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 2*a - 5 + 15, -d = -a + 7 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 11*j - 45. What is the remainder when 21 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-23)\/(-115)) + 13 + -1 + -50?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -144 - -147. Solve j + m - 4 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 576, -121, 2, -7 in decreasing order.\nAnswer: 576, 2, -1, -7, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*r = s - 34*r - 1, -r + 7 = -s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1008)\/((-728)\/(-26)) + 15 + -1\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148791*v = 148779*v - 204 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*v = s + 624, -s + 616 = -v. Suppose l - 3*l + s = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (150*r - 133*r + 232*r)*(-18*r**4 + 21*r**4 + 7*r**4) + r**5 + r**5 - r**5 + (-r**3 + r**3 - 2*r**3)*(-r + r**2 + r) - r**5 - 2*r**5 + r**5.\nAnswer: 2487*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 9*b. Let t(o) = -8*o**3 - 2*o**2 + 2*o - 1. Let u be t(1). Let y be g(u). Solve -2*s = -y*s, 2*x + 2 = 5*s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 0 - 157\/6*o**3 - 93*o**2 + 0*o - 55\/24*o**4. What is the derivative of n(w) wrt w?\nAnswer: -55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 2*t + 2 = 0, 9013*u + t = 9018*u + 21 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*s + 7. Suppose -f - 4 = -s. Solve h = t + 3, -4*t = 5*h - f*t + 9 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 372 = 4*r - 2*r - 4*p, -2*r = -p - 372. Suppose -d - r = 2*d. Let u = d - -124. List the prime factors of u.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5921\/42 - 988\/7. Sort 3\/4, -1, 0.5, -5, m in increasing order.\nAnswer: -5, -1, m, 0.5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5908666 is divided by 318?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - 23. List the prime factors of (-246)\/n - (-1)\/(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11 and 333869650?\nAnswer: 333869639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i - 9. Let p(z) = -3*z**2 - 8. Give v(p(b)).\nAnswer: -6*b**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 85*n**2 + 0 + 0.\nAnswer: 85*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21811 is divided by 206?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 529\/161 - 4\/14. Let b be (2 + 0 - k)*-7. Which is smaller: -3 or b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -76*d**3 - 1284*d**2 - 2144*d + 240 = 0.\nAnswer: -15, -2, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -29*n**5\/60 - 7*n**3\/3 - 8*n**2 + 22*n. Let q(g) be the first derivative of h(g). Differentiate q(i) with respect to i.\nAnswer: -58*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 99?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -7*a**3 - 4457*a**2 + 1283*a + 5731. What is v(-637)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j + 9*j = 16870. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 2*d**2 - 9*d + 29. Let i be u(3). Let o(n) = 3*n**2 + 19 - 9 - i + 27*n**2. Give o(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.64 - 0.18. Let g = x - -0.04. Let k = -0.04 - 2.96. Sort k, -6, g in ascending order.\nAnswer: -6, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -11) + (-4596 - -4583)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 836. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 13. Let c(z) = z**3 - 5*z**2 + z + 1. Let d be c(l). Suppose -2*p + d = -7. Calculate the highest common factor of 5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*-4*(-5)\/(-60).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 35. What is the closest to -1 in s, 3, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1134 + 522. Let h = g - -604. Let q(c) = -16*c. Let x(d) = d. Calculate h*x(m) - q(m).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 - 534 = -5*t. Suppose 4*m + t = 9*m. Suppose 4*x = u + 2*x - 6, 46 = 5*u - 2*x. What is the remainder when m is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 125?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q - 4. Let c be m(1). What is the biggest value in -5, c, -0.3, -3\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1765 + 6987\/4. Find the common denominator of -89\/32 and n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 545 = 5*g - 0. Let j(a) = g + 108 - 325 + 108 - 2*a. Let p(q) = -379*q**2. Determine j(p(s)).\nAnswer: 758*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 4:32 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6 = -3*d + 2*a, 4*d + a - 11 = 0. Suppose -5*t + 36 = -3*c, 4*t - 20 = -c + 2. Solve -2*f - t = 3*y, 3*f + y = -0*f - d for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times -61?\nAnswer: -2.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.0624586 rounded to zero dps?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2042820 and 16393?\nAnswer: 1261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(5\/3)*n\/(n**(-16\/7)\/n*n))**(-31))**22 assuming n is positive.\nAnswer: n**(-70928\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1908800 = 46*w - 1908524 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19.5 - -20.5. What is the nearest to -2\/7 in -3, p, -27?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqdeethth. What is prob of sequence dq?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 57 = 27. Let k(h) = -h**3 + 7*h**2 - 4*h - 25. What is k(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-1 - -2) + 16. Let r = 32 - m. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**3 - 7*n**2 - 100*n - 540. Determine w(-5).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42914 + 42913.99999988079. What is b rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*d + 428*d + 2*d**2 - 287*d.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -25.97. What is the biggest value in n, -5, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 21*l**2 + 5732*l - 231. What is z(-273)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/21465 and -119\/1080.\nAnswer: 171720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ulkcdtd. Give prob of sequence dcu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -10, 15 in increasing order.\nAnswer: -10, 0, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -7*w + 34. Calculate the lowest common multiple of 5 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-195 + 103 + 98 + 4*s**2)*(-3*s**2 - 7*s**2 + s**2) as u*s**3 + w*s**2 + k*s + a + m*s**4 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n + 0*n**5 + 0*n**3 + 0 + 1\/10*n**6 + 0*n**4 - 5\/2*n**2. What is the derivative of r(s) wrt s?\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -a**9\/945 + a**8\/1680 - 7*a**4\/24 + 6*a**2. Let k(n) be the second derivative of v(n). Determine t so that k(t) = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 17 = -34*m + 128. Solve 25*p = m - 79 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 7*m + 5. Let h(o) = -o**2 + o + 1. Let l(d) = 5*d**3 - 6*d**2 + 4*d + 5. Let r(b) = 6*h(b) - l(b). Calculate r(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1895999 is divided by 44086.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-1 - (2 + -5)). Suppose 4*o + 0*o + 2*k - 16 = 0, -4*o - 4*k = -24. What is the nearest to 2 in o, t, -2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20609*p**5 + 11*p**2 - 130*p?\nAnswer: -1236540*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 1062.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 196*s + 5755. Calculate h(26).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 32*o**2 - o - 3. Calculate the remainder when a(-2) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 - 0.2. Let h = -82737 - -165475\/2. Which is the closest to -0.2? (a) m (b) h (c) 97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3800 and 10.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(4\/5)*o)\/(o*(o\/o**(1\/3))\/o*o))**(-36)*o*o**4*o*o*o*o**(3\/2)*(o**(2\/7)*o)**(-2\/5) assuming o is positive.\nAnswer: o**(293\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4987684 is divided by 831136.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-2)*(-4640)\/(-1044)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1299411 to the power of 1\/2, to the nearest integer?\nAnswer: 1140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.032677769 to 4 decimal places.\nAnswer: -0.0327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/15)\/((4\/584)\/((-6)\/12*5))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 16*i - 188. Calculate n(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39193598993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 5.6. Let y = 63216.5 + -63217. Let l = -45\/8 - -151\/24. What is the closest to 1\/2 in l, g, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*s + 0 = -13, 0 = 3*p + s + 7. Let q = 3 - 2. Sort 5, p, q in decreasing order.\nAnswer: 5, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -1357*z**5\/20 + z**4\/3 - 4*z**2 - 1661*z. Find the third derivative of x(q) wrt q.\nAnswer: -8142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1765 is divided by 297.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 - 5861*z + 88*z.\nAnswer: -5773*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 28*g. Let t be z(1). Let d = 30 - t. Calculate the remainder when 6 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -494 (base 14) in base 12?\nAnswer: -642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 39 + 507 = 0. Suppose -5*d - g = -8*d. Is d a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16575*f + 16575*f + 5851*f**3)*(-f**2 + 2 - 2)*(-2 + 1 - 1).\nAnswer: 11702*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2 - 7*f + 11*f - 5*f - 1. Let v = -1 - -5. Let t(l) = l**5 + l + 4. Let p(n) = v*c(n) - t(n). Find the second derivative of p(b) wrt b.\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -22244*u - 10 + 11123*u - u**3 + 8*u**2 + 11119*u. What is f(7)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5793 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 18, 10, 0, -12, -26, -42?\n\"Answer: -q**2 - 5*q + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -a**5\/80 - 11*a**4\/48 - a**3 + 9*a**2\/2 + 344*a. Factor u(h).\nAnswer: -(h - 1)*(h + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u**2 + 27*u + 6. Let n be s(9). Suppose -3*i + n*i = -3. Let t(x) = 1 + x + 23*x + 0*x. Calculate t(i).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/98)\/((18*17\/510)\/((-9)\/45)).\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7122 divided by 2?\nAnswer: -3561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + h**2 - 3*h**2)*(-3*h**2 + 2*h - 2*h)*((-2 + 1 - 6)*(-4 + 2 + 1) + 1 - 2 + 3 - 4 + 3 - 28).\nAnswer: -60*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -0.143.\nAnswer: 0.0715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -11504477.1 to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -0.3 (b) 12 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 + 36. Do -6 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3438 (base 11) to base 8.\nAnswer: -10646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/3))**(9\/2)*((p\/p**(-2))\/p)**(-9) assuming p is positive.\nAnswer: p**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5166\/(-462) + 0 + 11.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*f**6 - f**5 + 34893*f**3 - 27*f**2 - 57399*f?\nAnswer: 3360*f**3 - 60*f**2 + 209358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*z - 21, 3*v - z + 6*z - 37 = 0. Let b be 116\/12 - (-5 - (-98)\/21). Solve -v*a + b = -9*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -3212222?\nAnswer: -3212231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 10, 118, -5\/6, 3, -2\/89?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1596869, 3193861, 4790855, 6387851, 7984849, 9581849, 11178851?\n\"Answer: h**2 + 1596989*h - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -2. What is the biggest value in 4, 2\/9, -0.5, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 6. Suppose -4*r + a*r = 0. Suppose -3*s + 2*t - 2750 = r, 0*s = -s + 3*t - 905. What is s rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 1331?\nAnswer: -1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6606690427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21809988 and 49951908?\nAnswer: 1548509148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 327*z + 58. Is d(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/3 + 119*t**2\/3 + 1270*t + 5400.\nAnswer: (t + 5)*(t + 54)*(t + 60)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 267 and 445?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(288) + -5 + (sqrt(288) - (sqrt(288) + -1))) + (-1 + (sqrt(288) + -1 + sqrt(288))**2)*5.\nAnswer: -192*sqrt(2) + 5744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + 0*y**2 + y**2)*(0 - 2 + 0)*(2*y + 2*y - 2*y).\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27.4 + 26. Let v = k - -23.4. Let s = 27 - v. What is the biggest value in s, 0.5, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3 - 6*i + 22*i**2 - 15*i**2 - 1 + 3. What are the prime factors of x(5)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1367196.\nAnswer: 2, 3, 113933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 294*t**2 + 3*t - 8. Let x(y) = 588*y**2 + 6*y - 17. Let j(o) = 9*b(o) - 4*x(o). Is j(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 11*y + 78. Let o be j(14). What is the greatest common divisor of o and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -81436572457 and 37.5.\nAnswer: -81436572419.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*v + 3*v. Let j be 0 + -1 - v\/(-1). Suppose y - 6 = -2*g, -2*g = 5*y - 19 + j. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 9*x - 8*x + 11 = 0 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/4)*c\/(c\/(c*c**0)))\/(((c**6*c)\/c)\/(c\/(c\/(c*c**(-4))))) assuming c is positive.\nAnswer: c**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 49431342607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*x - 14546 = 18214. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*u, 0 = -5*v + 3*v - 5*u + 733. List the prime factors of v.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 6*(sqrt(425)*-1)**2*-3 + (((sqrt(425) + 1)*2)**2 - -1*sqrt(425)*1).\nAnswer: -5943 + 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100, -271, -716, -1567, -2956, -5015?\nAnswer: -7876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-154)\/63 + 4)\/((-6)\/(-54)). Solve -44*i - 3*x = -48*i - l, 2*x = -3*i - 19 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 20. Let d = -0.7 + 0.7. Which is the nearest to d? (a) x (b) 2\/7 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -39*d**3 + 3*d**2 + d + 7. Let n = -266 - -263. What is the thousands digit of k(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 209*j**3*q**3 + 33*j**3*q**2 - j**3 + 3*j*q**5 - 2 wrt q?\nAnswer: 1254*j**3 + 180*j*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 4*o + 5. Let w be l(6). Let a = 8 - w. Solve 0 = -q + 6*q + a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37414 - 25343. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 71168 + -72307.768. Let s = -1147 - x. Let l = 7 + s. What is l rounded to two decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*h - 8, -4*s + 0 - 2 = h. Let g = 19 + -11. Let n = 12 - g. What is the third biggest value in 1\/4, n, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p - 26 - 19 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -1314*p**3 + 11*p. Let z(c) = 263*c**3 - 2*c. What is 2*m(j) + 11*z(j)?\nAnswer: 265*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-4)*(-17064 + 38) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f**5 + 16*f**5 - 320*f**2 + 309*f**2 + 2*f**5 wrt f.\nAnswer: 900*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, l: 2, u: 3, t: 6, n: 2}. Give prob of sequence ug.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4397184 divided by 2.\nAnswer: -2198592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.1, 110, -0.54?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 289726, 579446, 869166, 1158886?\n\"Answer: 289720*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 830519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -7*i + a + 6, 4*a = -i - 6. Put 3, 0, i, -20 in decreasing order.\nAnswer: 3, i, 0, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**5\/20 + 2*u**3 - 14*u**2. Factor x(v).\nAnswer: -3*(v - 2)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -286 or -357?\nAnswer: -286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -202*m**3 + 0 + 4*m**2 + 6 - 32*m + 38*m. Let c be f(-2). What is the second derivative of -1626*d**2 + 14*d**3 - 4*d + 0*d + c*d**2 wrt d?\nAnswer: 84*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 * -0.08\nAnswer: -1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*q - 73 = 4*q, q = 2*n - 39. What is the greatest common factor of 17 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1152)*4*4 + (sqrt(1152) - (sqrt(1152)*5 - sqrt(1152) - sqrt(1152) - sqrt(1152))) + 5)**2.\nAnswer: 3600*sqrt(2) + 259225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -9, 2, -0.33 in ascending order.\nAnswer: -9, -2, -0.33, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 4)*(2*y - 2*y - y) + (1 - 1 + 1)*(835*y - 514*y - 518*y) + (0 + 2 + 1)*(4*y - 2*y + 0*y).\nAnswer: -192*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2786 and 36981?\nAnswer: 14718438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15781 by -110.\nAnswer: 15781\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -6. Let y = -8793 + 8797. Sort -1\/6, n, y, 5.\nAnswer: n, -1\/6, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 1160\nAnswer: -3\/1160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - g + 9. Let v be w(0). What is the third derivative of h**2 + v*h**2 - 8*h**2 - 2*h**3 wrt h?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103910724 = 11*c + 907020724. Round c to the nearest one million.\nAnswer: -73000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 0 + 0 - 3 - 13*q**2. Let t(p) = p**2. What is t(h(s))?\nAnswer: 169*s**4 + 78*s**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-21) - (-220)\/14. Let v be b\/(-104) + 74\/(-26). Sort 3, v, 5 in descending order.\nAnswer: 5, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 180684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/2120 and -127\/84588?\nAnswer: 845880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 204*h + 8972. What is a(-44)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -167.64 and -5217.\nAnswer: 874577.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 32*j + 156. Let z(o) = -38*o - 2. What is i(z(x))?\nAnswer: -1216*x + 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -8*c**4\/3 - 286*c**3\/9 - 244*c**2\/3 + 208*c\/9 + 128\/3 = 0.\nAnswer: -8, -4, -2\/3, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12*(-10)\/200)\/((3465\/(-120))\/(-77)).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 8*j**2 - 10*j - 7. Let b be (-138)\/(-33) + -4 + (-62)\/(-22). What is the smallest common multiple of q(-7) and b\/1 + (-1 - (-1 + 1))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i - 3*i + 5*i + (-2*i + 4 - 4)*(-1 + 2 - 3) + (-3 - 4 + 6)*(-4 + 5 + 1)*(-i - 2*i + i).\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -140223779\/357 + 392784. Let s = y - 1\/51. Which is the nearest to s? (a) 2\/3 (b) -1 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 994, 997, 1004, 1015, 1030, 1049?\n\"Answer: 2*z**2 - 3*z + 995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7331 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 481116, 962222, 1443328, 1924434, 2405540?\nAnswer: 2886646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 44*p**2 + 430*p + 7416. Let d be w(-17). Calculate the greatest common divisor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104542991 and 1659?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five quarters of a hour?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 1820.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gsssgsgslgsss. What is prob of sequence ggsl?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010063 to the power of 1\/2, to the nearest integer?\nAnswer: 3318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -249 - -2741\/11. Suppose -5*u + 14 = t, t = 91*u - 90*u - 4. What is the closest to t in 3, 0.3, 1\/4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.5037 nanometers to kilometers.\nAnswer: 0.0000000000225037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*l - 8*l + 21216 = 0. Let k = 839 - l. Calculate the greatest common factor of k and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 45*w + 60. Let k = -1 + 3. Suppose -k*o = -o - 8. Calculate the lowest common multiple of c(-1) and o.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.1*-0.36\nAnswer: 0.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -4, -2, 2\/7, -209?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*t + 4*v, -t - 3*v + 11 = -3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 2\/(-4))*(22 + -22). Solve 1\/2*b**5 + 0*b + 0*b**4 + c*b**2 + 0 - 1\/2*b**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 25324293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = g - 22099, g - 17981 = -4*z + 4158. Suppose -5834 = 3*w + 4*b - g, -5*w + 27170 = b. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*x + 8592 = -4369, 5*x = -2*m + 13051. Does 21 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -846*t - 839, -1040 = 4*t + 3*c - 1057 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 431*j + 1409. Let n be f(-5). Is n < -750?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.613 + -0.013. Let m = -41 - -48. Let t = x - m. Round t to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-27) - (-40)\/18. Let s(v) = 2*v - 1. Let f be s(a). Solve f*q - q + 8 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -35*3\/3 + 0. Let j be (7\/k)\/((-2)\/110). Differentiate -10 - j - 4*d**3 + 10 wrt d.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9467773, -18935542, -28403311?\n\"Answer: -9467769*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2. What is the third smallest value in -0.4, 5, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 680 = -d. Suppose 5*u = -100 - d. Let v = 36 + u. Sort -11, 2, v in descending order.\nAnswer: 2, v, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.3 + 0.7. Let a = u - -14. Let s = a + -17.99999978. Round s to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -780.4, 0.04, -227, 2?\nAnswer: -227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131 = -29*o + 218 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**3*t**2 - 2*d**3 - 13*d**2 - 29806*d*t**2 + 11984 with respect to t.\nAnswer: 4*d**3*t - 59612*d*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 736 is divided by 147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/5 - (-56)\/20. Suppose 2*z - c*z = -43. Suppose -3*p = 5*j - z, 14 = -2*p - j + 52. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 7 + -5 + (18 - 2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -1\/6, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*1662677.5\nAnswer: 332535.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 136 + 80. Suppose -x*t = 2330 - 13488. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 0*c + 0*c**7 + 1\/168*c**8 + 0*c**5 + 0*c**6 + 5*c**2 + 0*c**3 - 1\/8*c**4 + 0. Find the second derivative of y(l) wrt l.\nAnswer: 40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*i - 20. Let f = -12 - i. Calculate the common denominator of (-34)\/f*6 - -1 and 9\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38089\/15 + -2527. Let s = 35\/3 - u. Let h = 0 - 1. Which is bigger: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7884 is divided by 3940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 204 - 207.45. What is k rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 3*g + 114. Suppose -2*k - g = 4*n - 110, 0 = 3*k + n - 103. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10528969?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4719 + -499. List the prime factors of z.\nAnswer: 2, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10817 + 10811.7115. Let l = 0.126 - 5.426. Let t = y - l. Round t to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 278947, 278948, 278949, 278950?\n\"Answer: y + 278946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/424 and -17\/4.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105769885 divided by 163.\nAnswer: -648895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/((-2926)\/95))\/((65\/(-13))\/70)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - -4.9. Let m = 6\/49 - -45\/833. Let r = m - -8\/51. Which is the closest to r? (a) 2 (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-30)\/(-25))\/((33\/(-10))\/11). Is 0 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3038, -3040, -3042, -3044, -3046?\n\"Answer: -2*d - 3036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - -18. Calculate the remainder when 118 is divided by p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(23 - (-4708)\/(-220))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*w - 0*w. Let g = 8 - w. Suppose -g*h = -3*k + 12, 37 = 3*k - 0*h + 2*h. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -t**3\/3 + 2*t**2 + t - 3. Let x = 8 - 8. Suppose -m = -4*h - 16, -4*m - 3*h + 7 = -x*m. Determine p(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 10*b - 14. Let i be ((-720)\/(-210))\/(4\/(-14)). Determine s(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 0*x**4 + 0*x + 0 - 6*x**2 + 0*x**3 - 1\/12*x**5. Let p(l) = 0. What is l?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 414 = -8*r. Calculate the common denominator of 2 + 121\/r - (56 + -51) and -13\/42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23683 divided by 2153.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1224\/(-714)*14\/(-52) + (-111381)\/(-1781).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 449774853.\nAnswer: 3, 11, 433, 31477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1885189?\nAnswer: 739, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.3? (a) 0.2 (b) -4\/19 (c) 4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382477?\nAnswer: 71, 5387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 3. Let q = 3 - 3. Let p = z - q. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -277299.61, -0.2, 0 in ascending order.\nAnswer: -277299.61, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d*k**3*p**2 + 2*d*k**2*p**2 + 2*d*p**2 - 3*d*p - 363*k**3*p - 2*k**2 wrt k?\nAnswer: 6*d*p**2 - 2178*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen sixths of a day?\nAnswer: 4080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002120893 to seven dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 0.1.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + l = -3*l - 2, -13 = -5*k - l. Suppose k*x - 4*x + 408 = g, -g - 408 = -x. Suppose 0 = 4*a - x + 36. List the prime factors of a.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - a + 6. Let h be 3\/(-3) - (-7 + 11 + -8). Let i be y(h). Solve 2*q + 2*s = -10, 4*q + 0*q + i = 4*s for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -306, 0, -2\/7, -52, 2, 2\/9, -0.3?\nAnswer: -306","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 20*o**3\/3 - 91. Let h(d) = -6*d. Calculate h(x(k)).\nAnswer: -120*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 2\/3 (b) 2\/13 (c) -7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*o + l + 57, 0 = 5*o + 2*l + 53. Let c(u) = 8*u - 21. Let f be c(o). Let p = f - -182. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008812 times 5561?\nAnswer: -49.003532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1596.844 weeks?\nAnswer: 965771251200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -450 + 465. Suppose 5*i = 4*i - 5*n - 24, -2*n = -5*i + q. Let w = 139\/4 + -35. What is the nearest to -1 in i, w, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29 * 6289.9.\nAnswer: 182407.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 536, 1074, 1612, 2150?\nAnswer: 2688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (5 - 6 - -18) + -6.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -0*i + 20. Let h(f) = -3*f - 7. Let p be h(i). Suppose -20 = 4*x - p*x. Solve x = -0*u - u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 660 and 94155?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 40, 54, 58, 46, 12, -50, -146?\n\"Answer: -h**3 + h**2 + 18*h + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4465\/12 + -372. Let n(g) be the second derivative of -5*g - 7\/2*g**2 + a*g**4 + 5\/6*g**3 + 0. What is n(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -28*h + 2. Let c(l) = -1. Let z(g) = -10*c(g) - r(g). Differentiate z(y) wrt y.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2 = k, -2*q = -5*k + 362. Let w = q - -1863\/10. Is 1 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -3*u + 42, 16*w = -39*w - 4*w + u - 0*u - 130 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from gtgsststguagdtg.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Evaluate (-33)\/143*4*(-1)\/(-6).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4935390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1640\/1435 - 6\/(-56)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5*v + 1. Let g be 2\/(-1)*(-2)\/(-4). Determine w(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 + -0.05. Let l = 4.08 - 0.08. Let v = i - l. Which is the second biggest value? (a) 2\/11 (b) -2\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 - 5*k**2 + 2*k**2 + 6*k**2 - 3*k**2 - k**2 - k**2 - 4*k**2 + 6*k**2 + (0*k + 2*k - k)*(-2*k - k + k))*(2 - 2 - 2*k)*(-5 + 5 + 2).\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhhrhrrrrrr?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1100))*4 - ((sqrt(99) + 1 - sqrt(99)) + -5)**2.\nAnswer: -20 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 take away -42376281?\nAnswer: 42376280.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 61, 2\/5, -5, 2\/113, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 806 and 15934?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1809, -1\/18, 0.1, 5, -6\/11?\nAnswer: -0.1809","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4979314 divided by 57899\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 11*h**5\/60 + h**4\/2 - 4*h**3\/9 + 61*h. Factor i(t).\nAnswer: t*(t + 2)*(11*t - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2527 divided by -19.\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42\/5 and (-419)\/(-215)*1 + (-19 - 374\/(-22)).\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(42*(-29)\/(-10150))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4379016 and 12.\nAnswer: 4379016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 5 = f + 3*d, -4*d + 20 = 4*f. Suppose -7052*l - 47700 = -8960*l. Solve -f = l*s - 20*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/16)\/(-3)*(-44)\/3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 - 43. Let v be (1\/(-1))\/(-1*7). Which is bigger: v or a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58014 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -429780 divided by -290\nAnswer: 1482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219 = -37*n + 256 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l**(-32)*l)\/l)*l*l)\/((l\/l**(6\/5))\/l))\/(l**(19\/6)*l**(-24\/7)))**(-6\/11) assuming l is positive.\nAnswer: l**(-7657\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1009 + -1055. Which is the third biggest value? (a) 0.03 (b) s (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 7:54 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4067 - 3821. Calculate the highest common divisor of n and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9 (b) -1815 (c) 0.4 (d) 1\/2 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r. Let k be l(1). Let j = 588 + -586. Factor 2\/3*y + 0 + 2\/3*y**4 + j*y**k + 2*y**3.\nAnswer: 2*y*(y + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 12*q**5\/5 - q**3\/6 - 58*q**2. Is j(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/7)\/(174\/(-203))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -627 + 1087. Is n a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 12, -5, -0.16, -6, 1 in ascending order.\nAnswer: -6, -5, -0.16, -0.1, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 201 and 47666?\nAnswer: 9580866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 13 = -35*p + 22, -230*p + 228*p + 2*u = -2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.223 - 0.02?\nAnswer: -0.243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 0*c - 10, -4*o = -2*c + 8. Let j = 0 - o. Suppose 0 = -j*h + h + 62. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53 - -98. Suppose 0 = 4*y + y - d. What is the remainder when ((-10)\/4)\/1*-6 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 25\/(-6) + 10\/60. Let o = g - -5. Let h = -3 - -7. Which is smaller: h or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 9*g + 2. Let h be y(9). Suppose 3*i - 15 = -3*f, -5*i = h*f - 3 - 13. Suppose 0 = d - f*d + 96. Is 16 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1066144 (base 7) to base 6.\nAnswer: 2513134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -8*y - 23*y**2 - 22*y**2 - y**3 - 6 + 38*y**2. Let u be i(-6). Solve -28 = -13*z + u*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-2\/9)*j)\/j)**(-11\/3))**(-1\/10)\/((j\/j**0*j*j)\/j**6*(j*j*(j**(-1)\/j)\/j)**38) assuming j is positive.\nAnswer: j**(5524\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*j**2 - 1 + (j + 2*j - j)*(225*j + 155*j + 80*j).\nAnswer: 922*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18520435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (212 - 211)\/((-18 + 16)*(-4)\/(-8)*6)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -434 (c) 3\/7 (d) -8.13 (e) 4\/9 (f) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**3\/4 + 5205*h**2\/2 - 424737*h\/4 - 1016162 = 0.\nAnswer: -8, 49, 10369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 206.4378 times 0.18?\nAnswer: 37.158804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11 (b) 2 (c) 2\/3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 5*x)*(-2 + 1 - 1) - 1522*x + 602*x - 424*x.\nAnswer: -1334*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(v + 2*v - 5*v) - 7*v + 2*v + 4*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-3)\/(-176)*11*(-84)\/(-231).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/3)\/(-2) - 1. Let x = -3186.6 - -3187. Which is the closest to m? (a) x (b) -1\/4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2077 and 246716445?\nAnswer: 2077","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12911 + 26*k**3 + 12911 + 38*k**2 - 16*k**2 + 36*k**2.\nAnswer: 26*k**3 + 58*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-26)\/(-21827)*23.\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 5) + -1 - -11\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2479*c - 2484*c + 4*f + 15 = 0, -9 = -3*c + 4*f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 16*a**2 + 16*a - 15. Suppose -2*i + 56 = 5*q, 0 = 2*q - 0*i - i - 17. Is s(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/27 + (-86)\/(-18). Suppose u*o = 122 + 13. Is o a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d (base 16) to base 3.\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*o - o**2 - 3*o**2 - 3*o**2 + 2*o**2 + 21 + 245*o.\nAnswer: -5*o**2 - 2*o + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1645?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4403)\/(-1980) + 228\/1254 - (-8)\/18 and (-139)\/(-42) - (-2)\/(-7).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2292 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 500 and 55.\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g + 21*g + 3 = 0. Suppose 0 = 3*f - 0 - 6. Suppose -q - 2*q = 2*r + 17, -13 = -f*r + g*q. Which is bigger: r or -4\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2056983 by 10.\nAnswer: 2056983\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79 + -73. Suppose m*z - 8 = 4*z. Suppose g = -3*g + 4*k, 2*g + z = k. Let w(n) = n**3 + 4*n**2 + 5. What is w(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110011000101110111 + 10?\nAnswer: -100110011000101110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1271997, 1271985, 1271973, 1271961?\n\"Answer: -12*f + 1272009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 22 - 18. Is 0.1 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -w - 27, 3*y + y - 4*w = 36. Let d be -12*(2 - 9\/y). Let z = -16 - -11. Do d and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3 - 9. Let q be -2*g\/(-4) + -6. Which is the nearest to -0.1? (a) q (b) 4\/3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.016 + 7.216. Let u = 0.33 + 6.67. Let y = z - u. Which is the closest to -1\/2? (a) 0.06 (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1607125 and 2275.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3859 - -1701. Suppose 0 = s - 4*d - 1364 - 1396, -g = -2*s - 2*d. Let l = -1444 - s. Round l to the nearest 100.\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 18 - (-1 - (-10 - -2) - (-9 + 17))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -20. Let l be (-4)\/(-10) + (b - 8\/20). Suppose -l*y = -4*t - 132, -t + 38 = y - 3*t. Is 19 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -108 (b) 8 (c) -1.8 (d) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -34*g - 78. Give o(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c + c + 3*c)*(24 - 11*c - 24) as u + l*c + r*c**2 and give r.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1463 and -5.6.\nAnswer: 1457.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l - 8*l = 20. Let i = -2.1 - -2.5. Which is the closest to i? (a) l (b) -0.2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16985888*c**4 - 143599931 wrt c.\nAnswer: 67943552*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-202*l + 6153*l + 7720*l)*(-2 - l + 2).\nAnswer: -13671*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3191511 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 54 or 45?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 4914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (7 - -1) - -8) + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 8349095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 1\/7, 0.056, 0.03, -0.03?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18536 + 42292. What are the prime factors of x?\nAnswer: 2, 5939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-6)*(0 + 3). Solve -n*x + 2 + 10 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 598*l**3 - 4*l**2 + 94*l wrt l?\nAnswer: 3588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*j - 24 = 0, -x - x = 2*j - 20. Suppose -11 = -n + 5*i, 3 + 18 = 3*n - 3*i. Suppose n*f - x = 4*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 0. Let o(m) = -m**3 + 4*m**2 - m + 2. Let t be o(b). Let v = t + -6. Calculate the greatest common divisor of v and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 25 = -3*t + f, -5*t = -4*f - 31. Suppose 60 = 5*l + 5*a, -18 + 3 = -t*a. Calculate the greatest common divisor of l and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 + -44144?\nAnswer: -44132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 63\/97?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-9))\/((-2)\/(-18)). Find the first derivative of -4 + s*n**4 - 1 - n**4 wrt n.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 694958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*q**3 + 1312*q**2 - 15280*q + 9600.\nAnswer: 4*(q - 10)*(q + 120)*(3*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*a**2 + 18*a**2 - 2*a**3 - 2*a**4 - 4*a**2 + 1 + 3*a**3 as x*a**4 + u + f*a**2 + c*a**3 + g*a and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 76 = -32. Calculate the remainder when d is divided by 3\/(-3*6\/(-84)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 53*v**2 - 28*v + 155. Is s(-39) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 690696 and 3?\nAnswer: 690696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 c when three letters picked without replacement from {o: 3, r: 7, s: 1, c: 6, h: 2}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 127 - 38. Let z = 252 - o. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28496?\nAnswer: 2, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) -0.07 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 6 - 2) + (-19 - -19) + 25 + 1?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39 and ((-525)\/(-10))\/7*54\/15?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)\/k**(-2)*(k\/k**2)\/k**2)\/((k**(3\/2)*k**(5\/2)\/k)\/(k\/(k\/((k*k\/(k\/(k**(-2\/5)*k)))\/k))*k**(5\/3))) assuming k is positive.\nAnswer: k**(-116\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(((((w\/((w**1\/w)\/w)*w)\/w)\/w)\/w)\/w)))\/w**(-7))\/(w**(-2\/11))**(-1\/26) assuming w is positive.\nAnswer: w**(857\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 equal to 1096?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1017 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -724*v*z**2 + 60*v*z + v - 3*z wrt z.\nAnswer: -1448*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1133961 plus 0.4?\nAnswer: -1133960.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4271189 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -1\/6 (c) 0.4 (d) 6140\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 8:17 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 249\/83 + ((-1863)\/460)\/((-3)\/(-2)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i + i)*(0 - 5 + 1)*(-3*i + 3*i + 2*i).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 8, r: 2, d: 7, p: 1}. What is prob of sequence ruud?\nAnswer: 49\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**4\/5 - 186*r**3\/5 - 4959*r**2\/5 + 28134*r\/5 - 34992\/5 = 0. What is r?\nAnswer: -24, 2, 3, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 106402184 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (sqrt(99) - (6*3*sqrt(99) - sqrt(99))))*6*6)\/(sqrt(9) + (sqrt(9) - sqrt(576)*5) + (-5*sqrt(1089) - sqrt(1089))).\nAnswer: -153*sqrt(11)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6601\/(-4) + 24\/(-32). Let y = o + 2438. Does 54 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -20, 1, -205432.\nAnswer: -205432, -20, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 24, 3, -16, -232?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1013946 and 684.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*y*z**3 + 169*y*z**2 + 76*y*z + 30*y + 364*z**2 wrt z.\nAnswer: 12*y*z + 338*y + 728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 171719 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3623, -7253, -10885, -14519, -18155?\nAnswer: -21793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -154 - -154. Suppose s = -2*q + 5*r + 173, -q = 4*q + 4*r - 515. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 201, 754, 1677, 2970, 4633?\nAnswer: 6666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**3 - 4*i**3 + 10*i**3 + (i + 0*i + i)*(-i**2 + 5*i - 5*i) - 2*i**3 - 2*i**3 + 2*i**3 + 0*i**3 - 4*i**3 + 3*i**3 + 5385*i**3 - 8951*i**3 + 4520*i**3.\nAnswer: 958*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a year?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12918163?\nAnswer: 463, 27901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3827742 decades in millennia?\nAnswer: 0.003827742","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4753142559?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4425 - -8135. Is t a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25322 is divided by 8383?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooohhho. What is prob of picking 2 h and 1 o?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -4*h - 5*v, -3*h = -5*v + v + 48. Let i(m) = -m**3 - 13*m**2 - 17*m - 18. Let g be i(h). What is the greatest common divisor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/2 (b) -0.4 (c) -3\/7 (d) -44407 (e) -3.4 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -8*l**3 + 12*l**2 + 2*l - 5. Let i(f) = -7*f**3 + 11*f**2 + f - 4. Let m(y) = 7*i(y) - 6*w(y). Let n be m(4). Let j = n + 6. Solve 1 = g + j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q - 4. Let l be m(-5). Let c(b) = -7*b - 584. Let p(n) = 2*n + 196. Let a(o) = -c(o) - 3*p(o). Give a(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 1725 + 1735, 0 = 3*y + 3*a - 19 - 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, 4, -1, 779, 3, 4\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*l - 3)*(2*l - l + l)*(0 - 5 + 9).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 42821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 63*s**2 + 3*s - 3. Is 9 a factor of z(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 267408 divided by -7428\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 12 = -m, -m = -2*k - 4 - 2. Suppose -m*l = -4*l. Let w = 4.99 - -0.01. Which is the nearest to 0? (a) -4 (b) w (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w - 14. Let n(j) = j - 4. Let x be n(-6). Is d(x) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 430 - 124 - 58 - 123 - 130 - f**3.\nAnswer: -f**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17705 is divided by 148.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 44*k + 3267. Let w be p(-66). Solve -4*s + w = 387 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*118784.\nAnswer: 11878.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -65.63 and 29.3?\nAnswer: -1922.959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 24*v**3 - 702\/7*v**2 + 72\/7 + 102\/7*v = 0.\nAnswer: -1\/4, 3\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129745 is divided by 32436?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8064293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 69, -10, -8, -1 in increasing order.\nAnswer: -10, -8, -1, 2, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 8:34 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -132 - -919\/7. Suppose -v = 4*v - g + 8, 3*v = 2*g - 2. Which is smaller: v or w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f**2 + 10*f - 45. Calculate a(8).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 701, 697, 691, 683?\n\"Answer: -a**2 - a + 703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-7))\/((440\/77)\/(-4))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiviviifv. Give prob of picking 4 i.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1035941957.\nAnswer: 41, 563, 44879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6918*p**2 - 9*p + 2831 wrt p?\nAnswer: 13836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 a, and 1 r when three letters picked without replacement from {n: 2, a: 3, r: 7}.\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*sqrt(17))**2 - (-1*sqrt(153))\/sqrt(9).\nAnswer: 5*sqrt(17) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - i + 5. Let v be y(3). Let m be (8*2\/60)\/(10\/v). Which is the closest to 0? (a) m (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96 - 419 + 2*o + 513.\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -898, -846, -696, -400, 90, 822, 1844?\nAnswer: 3204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**2 - 34040*j + 57936080 = 0 for j.\nAnswer: 3404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -3. Let x(y) = -1. Let q(w) = w + 1. Suppose 4*m + 12 = -0*c - 2*c, 0 = -m - c - 5. Let i(v) = m*q(v) + r*x(v). Calculate i(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -25*m**2 + 3*m + 2. Let f be j(-3). Let w = f + 372. Suppose -y - 4*y = -w. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 1173*l + 11056. What is the units digit of s(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 7325*s**2 + 7322*s**2 - 13*s - 14636*s**2 + 2. Let j(z) = -z**2 + 6*z**2 + 0*z**2 - 6*z + 1 + 0. What is 6*i(n) - 13*j(n)?\nAnswer: n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18459 - 73835\/4. What is the closest to 1 in o, 13, -0.1, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 120*j - 799. What is the thousands digit of y(45)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 991926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -1216*i - 1. Let c be w(-3). Let a = c + -2036. Let k = 6481\/4 - a. Calculate the common denominator of 97\/10 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*q + 294 = 4*q, -5*q = 2*p - 156. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 53*l + 10. Let a = -10 + 16. Let g be m(a). Suppose 0 = 7*c - 3*c - g. Calculate the remainder when c is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 5*y**2 - y + 6. Let x be f(5). Let g = 2557 + -2557. Solve x = -q, 7 = u - g*u - 4*q for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 5*o + 2*o + 5*o)*(29*o**2 + 40*o**2 - 16*o**2) + o**3 + 0*o**3 + 2*o**3 to p*o**3 + y*o + x + k*o**2 and give p.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 3:14 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/21)\/u)\/(u*u**18) assuming u is positive.\nAnswer: u**(-418\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -0.14, 0.2, 2?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -341*r - 31836. Calculate f(-93).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 15, 0.3, -96, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 477 + 167. List the prime factors of w.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 - (-4 + (-6 + 4 - -2)) - (-417 - -422)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(-21 + 2*u**2 - 25 - 22)*(0 + 0 - 2)*((0 - 3 + 0)*(-3 + 3 + 2) - 1 - 1 + 1).\nAnswer: -56*u**2 + 1904","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -3 (c) -6570 (d) -19 (e) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + 44. Let j = 218 - g. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 608 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 + 5*z**2 + 2*z**2)*(-1 + 1 - 7)*(-1 + 0 - 1 + 3 + 0 - 1 + (1 - 3 + 1)*(4 - 2 + 0) + (-1 - 1 + 1)*(3 + 1 - 5)).\nAnswer: 21*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 78, 82, 86, 90, 94?\n\"Answer: 4*n + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 287, 1145, 2575, 4577?\nAnswer: 7151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 637 divide 141424192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2. Suppose 14*i - 338 = 348. Let l(f) = -52 + 63*f**2 + 155 - 54 - i. Give j(l(c)).\nAnswer: 3969*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -56*d**2 + 22*d - 22. Let b(n) = 8*n**2 - 3*n + 3. Suppose -583*i = -590*i + 42. Give i*m(u) + 44*b(u).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6604984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 220155.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + 145?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 548.4*-3\nAnswer: -1645.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.74886 micrometers in centimeters?\nAnswer: 0.001374886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1486 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 239248659?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.241 - 9570742.4.\nAnswer: -9570743.641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 167355*u - 167281*u - 4588 for u.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 11*x - 6 + 7*x**2 + 26 - 3*x**2 - 3*x**2. Let f be j(-9). Solve m = -t, -3*t - f = 2*m + 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207294919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -13 + 9 + 1\/(-1). Let a(o) = 3*o + 3. Let y(l) = -1. Let q(t) = r*y(t) + a(t). Determine q(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -4982660?\nAnswer: -14947980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*h - 7*h - 32*h)*(955*h - 61*h - 15*h) to the form c*h**2 + v + z*h and give c.\nAnswer: -23733","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(1\/24*-3). Suppose x - w*j + 13*j - 213 = 0, 2*x - 3*j = 426. Calculate the remainder when x is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p**2 - 3*p. Let y be m(-2). Let g(q) = -q**2 - 7*q - 3. Let d be g(y). What is the highest common divisor of 12 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 7*b**2 + 0*b**2 - 3*b**2.\nAnswer: 4*b**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 19476548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 2. Let a be (8\/2 - w) + 0. Suppose 2*h = -2*h. Solve h = -a*f + f + 4, 4*f = 4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p - 2*p**2 - 2*p**2 + 98 + p.\nAnswer: -4*p**2 + 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5\/9 - 2\/9. Let b(x) be the second derivative of -3\/2*x**2 + j*x**3 + 0 + x. Differentiate b(z) wrt z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**5 + 911*y**4 - 23057*y**3 + 41569*y**2 + 23058*y - 42480 = 0. Calculate y.\nAnswer: -1, 1, 2, 24, 885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 304208 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3231 (base 4) to base 11\nAnswer: 1a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-20 + 13 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**2 + y**2 - 2*y**2 + 8*y**2. Let r be m(-2). Solve -3*v - r = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 536 divided by 14\nAnswer: 268\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 68.12669 tonnes?\nAnswer: 68126690000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/6)*m*m*m*m**(2\/15)\/m*m)\/(m\/m**0*m**(-1\/2)) assuming m is positive.\nAnswer: m**(37\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 6:14 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 1:44 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10126, 0.2, 4, -1\/9, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2192 times -1.257?\nAnswer: -2755.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w. Let x(i) = 4*i**2 - 144*i - 1. Calculate x(g(m)).\nAnswer: 16*m**2 + 288*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8030016 by 1296.\nAnswer: -6196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 + -40. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 8 + l**3 + 14*l**2 + 0 + 9 - 14*l. Let u be b(-15). Let j(q) = -7*q**u + q**3 + q**2 + 2 + 3*q + 2*q**2. Determine j(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21013.41l to millilitres.\nAnswer: 21013410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -61*12\/9 + (-7)\/(-21). Let o = 159 + t. Suppose -d = -o - 42. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3877240 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/630, 15, 2 in decreasing order.\nAnswer: 15, 2, -1\/630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 20, -5*v + 476 = -b - 129. Suppose 0 = -4*m - 5*g + 45, -m + g = 5*g - 3. What is the greatest common divisor of m and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -12 - (0 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 650 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18 - 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 + 217*w - 1070. Determine z(103).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 9*z - 11. Let m be b(-7). Suppose 2*i + m - 33 = 0. What is the remainder when i is divided by ((-27)\/(-6) - 3)*6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17218*v**3 - v**2 + 9*v - 1342 wrt v.\nAnswer: 103308*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.88 + -7.35. Let l = -1.04 - -1.87. Let c = l + q. Round c to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 - (-3 - -2)\/1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4088*v - 4398. Let u(o) = 8187*o - 8800. Let l(p) = -7*r(p) + 3*u(p). What is the first derivative of l(k) wrt k?\nAnswer: -4055","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 - -48. Suppose 3*s - 5 - 7 = u. Let y = 7 - 4. Sort s, y, -3.\nAnswer: -3, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8897 and 3141075.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -1\/3*a**3 + 5\/24*a**4 + 9\/35*a**7 + 0 + 0*a - 84*a**2 + 0*a**6 + 0*a**5. Find the second derivative of l(p) wrt p.\nAnswer: 648*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 131 - -314471?\nAnswer: 314602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220767469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a. Let u be m(-2). Let w(h) be the second derivative of -h**3\/6 - h**2\/2 - 9*h. Determine w(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1437\/9 - 2\/(-6). Suppose -2*y = -2*z - 0*y, 2*y = 5*z - 12. Suppose 9*x = z*x + g. Does 16 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 66, -13, 2, 29, -47 in decreasing order.\nAnswer: 66, 29, 2, -13, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m\/(m*m**20*m))\/m)**(14\/11)\/(m**(-4\/3)\/m**(-3\/20)) assuming m is positive.\nAnswer: m**(-16859\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 - ((-21)\/7 - 4). Suppose 4*h = -3*d - 38, 3*h - 53 + 5 = 2*d. Let k be (36\/984)\/(d\/(-8)). Which is smaller: k or y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + t - 1 = 0, -2*t + 12 = 4*l + 2*t. Let j = -5 - l. What is the units digit of (-1)\/((1 + j)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*n + 43*n = 51. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1126\/5 + -226. Which is the smallest value? (a) x (b) 3\/7 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70478 is divided by 92?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1042 - 544. What is the least common multiple of 4 and d?\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**2\/10 - 6587*o\/10 + 1317 = 0. What is o?\nAnswer: 2, 6585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 33*j - 81. Let a be c(-30). Suppose -4*t - 12 = -5*o + 10, a = -3*t. Let p(q) = -1 + 2*q - 94*q**2 - 100*q**o + 200*q**2. Determine p(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 6*n + 19. Let p be j(-8). Suppose -5*k + 955 = 2*b, 594 = p*k - 9*b + 6*b. What are the prime factors of k?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (160\/(-28))\/(5\/(-33 - 2)). Suppose -5*u = -5*m + 320, u + 5*m + y = -48. Which is bigger: u or -67?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 1.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 306.47 minus 0.04?\nAnswer: 306.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -33. Let c = o + -14. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**14*f**(-4\/9)*(f**(2\/7)*f)**19 assuming f is positive.\nAnswer: f**(2393\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/25)*p**(4\/5)*p*(p*p**(11\/3))\/(p\/(p**(2\/11)\/p)*p))**(-3\/34) assuming p is positive.\nAnswer: p**(-1538\/4675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11836825 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 9*k**2 - 138*k + 1359. Determine r(9).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 165 + 156. Suppose -523 = -4*r + x. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -1. Let t(v) = v**2 + v + 6. Suppose -2*g = -3*r, -107*g - 26 = -110*g - 2*r. What is g*o(i) + t(i)?\nAnswer: i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + -10. Let z = y - -17. Suppose 0 = -4*c, -4*f - 2*c = -z*f - 60. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -3*h + 5*w, -46 = 2*h + w - 3*w. Let b be (4 - 3)\/(-4)*h. Find the second derivative of 8*t + 4*t**5 - 3*t + 8*t**5 - b*t**5 wrt t.\nAnswer: 140*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*q = 0. Suppose q*r - r = -2. What is the second derivative of 2*s - 4*s**3 - s**3 + r*s + 3*s**3 wrt s?\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1077317753 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5713?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -0*w - 2*y - 3, 0 = 5*w - y + 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 137907 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y**2 + 5*y + 6. Let z be (2 + (-10)\/6)\/(2\/18). Suppose z*g - 68 = -35. Let i(r) = 7*r**2 - 9*r - 11. Determine g*o(s) + 6*i(s).\nAnswer: -2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 906 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6498\/(-6498)*2\/(-18).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1424 (base 5) to base 16\nAnswer: -ef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 9032913841661\nAnswer: -9032913841662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -132, -3.\nAnswer: -132, -3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*g - 51, -4*w + 6 + 21 = g. Let t be 6\/g*10\/(-4). Let k = 0 + 3. Put 2, t, k in decreasing order.\nAnswer: k, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (35 + -2)*(-9)\/(-27). Suppose 0 = -0*p - v*p + 9713000. What is p rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + -2*-3*sqrt(108) + sqrt(108) + sqrt(108))**2 - -5*(4 + sqrt(48))**2.\nAnswer: 160*sqrt(3) + 9068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -46*t**2. Let f be (-128)\/(-12) + 8\/(-12). Let z(l) = -f*l**2 + 11*l**2 + 10*l - 7*l - 3*l. Calculate n(z(k)).\nAnswer: -46*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3*n - 396 - 201, 4*a - 485 = -5*n. Suppose 8*g - a = 5*g. Does 7 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39.356 * -5\nAnswer: -196.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 28d967?\nAnswer: -28d964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(49) + (sqrt(49) - sqrt(245)\/(sqrt(20)\/sqrt(4) - sqrt(5) - sqrt(5))) + sqrt(49) + sqrt(49) + sqrt(49))\/sqrt(7)*-3.\nAnswer: -18*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k + 1469 = -11*k - 22*k - 1483 for k.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.39703 rounded to zero decimal places?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide (-18)\/20 + 1 - 1039232\/(-1280)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*x + 66. Suppose k - x = 93. Does 23 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.097, 7\/5, -3, 1369, 1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4\/5)*h*h\/((h*h*h**(5\/3))\/h*h*h))**44*((h\/h**3)**(4\/23))**(7\/6) assuming h is positive.\nAnswer: h**(-17588\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 7*d + 3 = -4*b, -4*b = -5*d - 15. Let w = 7 - 6. What is the nearest to b in 2\/7, -2, w?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1573) + sqrt(1573) + sqrt(1573) + 3 + 0 - sqrt(1573)) + sqrt(1573))*5 + 4)**2 + -3.\nAnswer: 6270*sqrt(13) + 354283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1348 is divided by 1166?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1830 rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + -2 + sqrt(320)*-3)*6.\nAnswer: -96*sqrt(5) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 c when two letters picked without replacement from {c: 1, m: 1, n: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 1042608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - t. Let m be y(2). Suppose c + 30 = -m*c. Let s(q) = -q**2 - 16*q - 5. Does 11 divide s(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.68 - -2.531. Let q = -8167.85193 + 8168. Let s = q + k. What is s rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, z: 3}. What is prob of sequence ff?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24248, -24194, -24106, -23984, -23828, -23638, -23414?\nAnswer: -23156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4145, -3, 5 in descending order.\nAnswer: 4145, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 22 = 5. Let l = 13 + d. Solve 0 = l*s - 32 + 12 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*m = -17*m + 257 + 883 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -873*u**5 - 1330*u**2?\nAnswer: -52380*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*h + 48 = -28*h. Let j be h\/16 + (-168)\/192. Suppose 0 = 3*s - s. What is the nearest to s in 4\/3, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4770*a**4 + 12*a**3 - a**2 + 394999*a wrt a.\nAnswer: -57240*a**2 + 72*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/7)\/j)**(-10\/13)\/(j**(-1\/11)*j*j\/(j*j**(3\/8)\/j)) assuming j is positive.\nAnswer: j**(-7885\/8008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 8. Let m(s) be the third derivative of 0 - 1\/60*s**6 - 1\/2*s**3 + 0*s**x + 0*s + 0*s**4 - s**2. Find the first derivative of m(p) wrt p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11211 - 11211 - 8*q**2 - 11*q as z*q**2 + m + t*q and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -19. Let q = 1425 + -1424.88. Which is the second smallest value? (a) 1\/4 (b) d (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/((-1)\/(-2)*-1). Suppose -a*o = -3*o - 1. Suppose 1 = -5*s + 6. Is s less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-120)\/(-18) + -1)\/(7\/42). Solve q*k = 39*k - 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7956557, -7956512, -7956437, -7956332?\n\"Answer: 15*r**2 - 7956572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 0 - 8*y + 6*y to h + v*y and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 216*f + 27282. Calculate l(-126).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 3:01 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-8))\/(-11 - (-272)\/24)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 4*t - 2. Let w be b(-5). Suppose w*h - 5*v - 130 = 0, -2*v - v = 3*h - 114. Does 20 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -143.87 + 145. Let u = x + -1.17. Are 12 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -69532?\nAnswer: 69532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2080 (base 10) to base 12\nAnswer: -1254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 84, 1.\nAnswer: -10, 1, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 1\/2*u**4 + 8 + 4*u**3 + 9*u**2 + 8*u. Factor h(o).\nAnswer: 2*(o + 1)**2*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302842336.\nAnswer: 2, 37, 137, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3133 is divided by 125?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5868 divided by 6\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2468908732 and 0.5.\nAnswer: 2468908732.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -359 (b) -1\/3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 22*z**2 + 18*z + 32. Calculate p(21).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 - 3*h**3 + 6*h**4 - 7*h**4)*(-2 + 3 + 0).\nAnswer: -h**4 - 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -10) + -19 - 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.05 + -0.04. Round a to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + a = -3 + 17, 32 = -4*v - 2*a. Let l be ((-33)\/22)\/(v\/208). Let k = l - 32. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 101*a + 753*a + 136*a + (0 - 2*a + 0)*(0 - 2 + 0).\nAnswer: 994*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/((-312)\/(-76) + -4). Calculate the highest common factor of k and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.34581 + 0.04581. Let u = -4.07 + 0.07. What is the second biggest value in -0.2, u, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26128 is divided by 1143?\nAnswer: 982","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.5 and -184065.\nAnswer: -1012357.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.026048 microseconds in minutes?\nAnswer: 0.0000001671008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21923, -175285, -591545, -1402151, -2738551, -4732193?\nAnswer: -7514525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 8 = -3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 2*s - 30 = -2*i + 2*s, 4*s = -7*i + 69 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-12)\/p)\/p**(-2\/17))**34\/(((p**3*p)\/p**(4\/5))\/(p**(-1\/8)*p*p\/(p**(-2\/13)\/p))) assuming p is positive.\nAnswer: p**(-227849\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 31.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b = -21*b - 40. Let v be 6\/(-9)*(-6)\/b*14. Let x(g) = 5*g - 35. Let u be x(v). Solve -3*d + 1 - 16 = u for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84 by -2.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 6.5 (c) -5 (d) -2\/7 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 3, -0.4, -0.1, 10, -134?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9 - -2)*(0 + -5). Suppose -q = v - 6*v. Let b be (-25200002)\/v + 4\/14. What is b rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5386877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -74835.64 to the nearest one hundred.\nAnswer: -74800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 7*i**3 - 11*i - 8. Let v(b) = 4*b + 3 + 4*b - 2*b - 2*b - 2*b**3. Let z(p) = -3*t(p) - 8*v(p). Find the second derivative of z(s) wrt s.\nAnswer: -30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 260106?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 412 = 38*k, -5*a - 5*k + 12637 - 12707 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4831408651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 bigger than 2006\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 35 - 14 = -5*k, -4*t - 34 = -3*k. Let u be k\/(-4)*(-1 + -1). Let r = u - 0. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*n + 6*n - 83 = 0, 4*r - 2*n - 242 = 0. Suppose -5*a - 12*v = -9*v - 125, 2*a - 54 = -2*v. What is the remainder when r is divided by a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10769?\nAnswer: 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (129 - 144) + (1 - -10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 7*m + 0*m**2 + 0 + 1\/45*m**3 + 4\/45*m**4. Factor k(f).\nAnswer: 2*f*(8*f + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fyfffffffyffbyf. Give prob of picking 1 f, 1 y, and 1 b.\nAnswer: 33\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2\/11, 3546, -15, 2\/9.\nAnswer: -15, -0.4, 2\/11, 2\/9, 3546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7223796 is divided by 7604.\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -519, -1, -2150 in decreasing order.\nAnswer: 3, -1, -519, -2150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109161 is divided by 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4835 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -173576, -347137, -520672, -694169, -867616, -1041001?\n\"Answer: 2*g**3 + g**2 - 173578*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5950.5 and 0.4?\nAnswer: 5950.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/3, 0, 1\/2 in increasing order.\nAnswer: 0, 1\/2, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.283988 - -525277129?\nAnswer: 525277129.283988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**2 + 6. Let l(w) = 4*w**2 + 6. Let s(t) = -2*l(t) + 3*z(t). Let o = 0 + 0. Is s(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m**3 - 29*m**2 - 5*m + 21. Let h(x) = -2*x**3 - 28*x**2 - 4*x + 22. Let s(b) = -3*h(b) + 2*k(b). Let v be s(13). Factor -15\/2*q + 0 - 5\/2*q**v.\nAnswer: -5*q*(q + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 5*i + 9*i**3 + 0*i**3 + 15*i - 8*i**3 to m + z*i**2 + v*i**3 + s*i and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 30 = -2*g, -4*g + 4*d + 27 = -33. Suppose -2*j = -4*k - 50, -k = 4*j + 3*k - 124. What is the remainder when j is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28669*j + 14402*j + 14270*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/b**(-21))*b**3*b**(-1\/24)*b*b*b*b**(3\/16) assuming b is positive.\nAnswer: b**(-713\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -6*(sqrt(17) + (sqrt(34)\/sqrt(2) + -5 - sqrt(17))) + -4*(sqrt(2057) + 2*sqrt(2057)) + 4 + sqrt(2057)*2)**2.\nAnswer: -8352*sqrt(17) + 230048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -107, -1008, -3429, -8132, -15879, -27432, -43553?\n\"Answer: -127*o**3 + 2*o**2 - 18*o + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -4.88.\nAnswer: -5.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 0.6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 44016*v**3 + v**2 + 7*v - 7. Is u(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/9*(-15)\/2. Let h be -286*(g\/(-4))\/(-5). Let d = -74 - h. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -20) + (191 - (-153 - -391))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by ((-952)\/49)\/(70\/(-245)).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21 + -776?\nAnswer: -797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -0.05\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((10\/40)\/(-1))\/(-1 + -1 - -1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c - 4 - 5 + 6)*(3*c - 5*c + 3*c)*(c**2 - 3*c**2 + 3*c**2) to i*c**2 + h + n*c + b*c**3 + v*c**4 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 34023753 to the power of 1\/2, to the nearest integer?\nAnswer: 5833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36565 and 3605.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-4)*249734\/16287?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5*o**2 - 6*o**2 - 225*o + 236*o + o**3 - 13. Let d be g(10). Suppose 3*y - 5 = 2*b - 3, -4*b + 8 = 0. Sort 22, y, -5, d in increasing order.\nAnswer: -5, d, y, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (2 + -1 + -45 + 50)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 1. Let v be ((-6)\/10)\/(14\/(-35)). Sort l, v, 2 in decreasing order.\nAnswer: 2, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*l - 1793 - 6255 - 365 = 3643 for l.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 957044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**3 + 9*n**2 + 5*n + 4. Calculate o(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -120994, -242985, -365976, -489961, -614934, -740889, -867820, -995721?\n\"Answer: m**3 - 506*m**2 - 120480*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 177974619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 4. Let p be (0 + 2)*f\/(-4). Let s = -1\/13 + -19\/91. Is p > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 113*i - 402. Let z be b(5). Is 0 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 0.98 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 12*b + 8. Give q(-8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**2 - 17*l**3 - 18*l**3 + 86*l**3 - 1998*l + 5*l**2 - 62*l**3 wrt l?\nAnswer: -66*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nkn when three letters picked without replacement from {n: 4, e: 1, k: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 170.09 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and -158294921225.\nAnswer: -158294921228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 greater than -20260\/633?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22945310 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286192124?\nAnswer: 2, 31, 2308001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -543133 take away -11?\nAnswer: -543122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -66 times 584.47\nAnswer: -38575.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 408240630 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 8, -772 = f - w - 0*w. Let k = f + 6201\/8. Calculate the common denominator of -2\/3 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 n when two letters picked without replacement from {m: 7, y: 1, z: 2, r: 2, n: 1, w: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-196)\/112)\/((-3)\/(-2)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -315 - 81. Calculate the common denominator of ((-52)\/(-130))\/(y\/2235) and 103\/84.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6322?\nAnswer: 2, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3519?\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, -3, -10, 18?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - -3)\/(-2 - -3). Suppose -5*w - 3*r = -b*r - 24536, 3*r = 4*w - 19645. Suppose -4*p + w - 1281 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8219 < 8211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -77*g + 5231. Give n(64).\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -2 + -7 + (18 - (8 + -7 - 0)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45105349.\nAnswer: 1097, 41117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -372 (base 14) in base 7?\nAnswer: -2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**5 - 1572*y**4 - 1599*y**3 + 12564*y**2 + 18900*y = 0 for y.\nAnswer: -2, 0, 3, 525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4, 5*y - y + 9 = q. Solve -5*b - 10 = q*f, f = -3*b + 4*f + 24 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13535979 or -13535981?\nAnswer: -13535981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0039490046 - -0.1.\nAnswer: 0.0960509954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 1599 - 528. Suppose 24*f - 21*f = -s. Let i be (-4)\/12 + f\/9. Which is the smallest value? (a) -0.5 (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 625 = -5*r + 90, -2*r = -4. Find the third derivative of -a*c**3 + 31*c**3 + 36*c**2 + 23*c**3 wrt c.\nAnswer: -330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 702 and 55848?\nAnswer: 502632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fifty-nine fifths of a millisecond?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-96)*18)\/(-3). Which is the third smallest value? (a) w (b) -3\/19 (c) -2\/7 (d) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.022? (a) 0.011 (b) -0.9 (c) 0.3 (d) -4 (e) 0.5 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 426114179 and 463?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzre when four letters picked without replacement from eqxerrzrqwxqqerq.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/14 + 25038\/(-4). Is (-1)\/2 + l\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 99, 283, 591, 1023, 1579, 2259?\n\"Answer: 62*j**2 - 2*j + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-42) - (-269)\/3. What is the common denominator of -41\/22 and (-7)\/4*i\/(-147)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-24 - (-22 - (-7 - 1))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 245, 474, 691, 896, 1089, 1270, 1439?\n\"Answer: -6*q**2 + 247*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000020415 to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209774.\nAnswer: 2, 53, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2442, 1.\nAnswer: -2442, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**3 + c**2 + 2*c + 1. Let q be j(-1). Let w be 36\/54*(-27)\/6. Let d be (q\/(-4))\/1*(1 + w). Which is smaller: -2\/191 or d?\nAnswer: -2\/191","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-27)\/33*(((-200)\/20)\/5)\/(-6).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/10747 and -39\/3190.\nAnswer: 3116630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**13)**43\/(g**(1\/25)*g**(-5\/9)) assuming g is positive.\nAnswer: g**(125891\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 20*j + 60. Give l(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 91, 6, -2.\nAnswer: -4, -2, 6, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 + -28. Suppose -4*w + 4 = h*t - 0*w, -15 = -3*w. Let k(c) = -c**2 - 20*c - 6. Is 15 a factor of k(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(1700) + 2*(sqrt(1700) + -1) + 3.\nAnswer: -3 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 55*p**2 + 225*p - 10. Let w(t) = -3*t**2. Calculate f(w(l)).\nAnswer: 495*l**4 - 675*l**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (125\/100)\/5*-12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 420212784 divided by -2?\nAnswer: -210106392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuruqllblb. Give prob of picking 1 b and 1 u.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 6.5. Let o = -5.5 - -4. Let n = o + w. Which is the third biggest value? (a) 0 (b) n (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (44\/(-10))\/(20\/(-50)). Suppose -10*h + 3 = -w*h. Let u(f) = -f**3 - 2*f**2 + 3*f + 2. Give u(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21 minus 14819861357409?\nAnswer: -14819861357408.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 24163.9 times -343\nAnswer: -8288217.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 + 43. Let m(h) = 9*h**3 + 14*h**2 + 3 - 20 - 16*h**r + 6*h**3 - 22*h. What is the remainder when 26 is divided by m(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phttvchn. What is prob of picking 1 n, 1 t, and 1 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -476.7906 rounded to the nearest 10?\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 8, -k - 1078 = -5*o + 493. Calculate the least common multiple of o and 105.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -42254?\nAnswer: 42251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 138 - 137. Let p(r) = 173*r**3 + r**2 + 1. Is p(q) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 111 (b) -0.4 (c) -13 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p - 10. Determine j(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 1 (b) 0.07 (c) 1\/10 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - (-2)\/10)*220\/(-8). What is the first derivative of -f - 10*j**4 - 57*j**4 - 31 + 3*j**4 wrt j?\nAnswer: -256*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9832 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from pmppppppmmpppaa.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 1. Let u(s) = 14*s - 12. Let t(y) = -12*i(y) - u(y). Suppose 3*q = 5*q - 4. Let h(k) = 3*k**2 + 0*k**2 - 5*k**q. Calculate h(t(d)).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -45*o - 6*o**5 + 2*o**2 - 3*o**2 - 1 + 46*o + (3*o**4 - 3*o**4 - 4*o**4)*(0*o - 3*o + 2*o) + o**3 - 3*o**5 - o**3.\nAnswer: -5*o**5 - o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/(-5) - 2)*-5. Suppose 0 = 5*g - d - 1. Suppose -4*u = g*a - 156, 0 = -3*a + 4*a - u - 35. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 2:15 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 93 + 956. What are the prime factors of z?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -0.5 (c) 582412\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - -0.2. Let w = 31.5 + -35.5. Let k be (-42)\/(-36) + (-2)\/(-6). Which is the closest to v? (a) k (b) 3\/4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-546)\/28665*21\/6)\/(27\/(-5))).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -9 + 0 - 9*(-9 + (-175)\/(-21)). Sort x, 4, 89 in decreasing order.\nAnswer: 89, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/(s*s**(-7))))*s*s**(2\/5))**(-21)*(s**(-1))**34\/((s\/(s*s*s*s*s*s**(-2\/13)*s))\/(s*(s\/(((s*s**(3\/7))\/s)\/s))\/s*s)) assuming s is positive.\nAnswer: s**(-92357\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 91505 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: What is the second derivative of -55*a**3*d**2 - 8*a**3*d + 1938*a*d**2 - a*d wrt a?\nAnswer: -330*a*d**2 - 48*a*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -297 - -273. Let b(o) = -o**3 - 23*o**2 + 21*o - 75. Let f be b(q). Let n(z) = -z**3 - 4*z**2 - 2*z + 3. Give n(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 47 = -14. Let m = 38 - v. Suppose m*l = 7285299 + 9714701. What is l rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -972*k**4 + 22*k**3 - 78611 wrt k.\nAnswer: -3888*k**3 + 66*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 56107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 10*j + 325 = 0. List the prime factors of j.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 111 = 84. Suppose 5*b = -5*j + s, -3*j + 23 = 5*b - 18. Let i = 2441 + -2437. Solve j = -2*c + i for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17595027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*l + 12, 5*l + 2*s - 15 = -s. Let f be (-68)\/3 - 1\/l. Let g = f + 37. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1056 = 7*b - 4052. Calculate the lowest common multiple of 12 and b.\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10933*n**4 - 2*n**3 + n**2 - 48*n + 422?\nAnswer: -131196*n**2 - 12*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 462*s**3 + 20325*s**2 + 223476*s - 1452 = 0 for s.\nAnswer: -22, 1\/154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1703698998 and -0.104255.\nAnswer: 1703698997.895745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44492.\nAnswer: 2, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 2*w + 6. Calculate a(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1440) - ((-1*sqrt(1440) - sqrt(1440)) + sqrt(1440)))\/((sqrt(40)\/sqrt(2))\/sqrt(4)) + -2.\nAnswer: -2 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103250 is divided by 17206?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2068 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 3:07 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 77, -5, 0.177, 2 in decreasing order.\nAnswer: 77, 2, 0.2, 0.177, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k - 35. Let f(r) = 7. Give -11*f(j) - 2*s(j).\nAnswer: 2*j - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 416 divided by 13.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -77*i + 2*i**2 + 77*i. Let n(j) = j**2 + 1. Let h(u) = 6*u**2 + 2. Let d(v) = h(v) - 2*n(v). Determine c(d(o)).\nAnswer: 32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 571492 to the power of 1\/2, to the nearest integer?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -4593.011441 to the nearest 10.\nAnswer: -4590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -511 or -510?\nAnswer: -510","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(1 + 10\/(-5)). Let b(t) be the second derivative of t**4\/2 + 5*t**3\/6 - 3*t**2\/2 + 12*t. Let c(l) = -7*l**2 - 6*l + 3. What is o*b(k) + 4*c(k)?\nAnswer: 2*k**2 + k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 457662 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 33\/10 of a tonne?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -16. Let h be (-75)\/i*(-8)\/(-6). List the prime factors of 8\/h*15\/2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 277179\nAnswer: -8\/277179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.111671 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1342151696 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 91927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1123e (base 15) to base 11.\nAnswer: 37a54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-60)\/18 + 2\/(-3))*-1. Suppose -q*b = -4*y + 4, -b - 4*y + 22 = 3. Solve 18 = b*k - g, -21 = -5*k + 3*g + 13 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12236, 97643, 329366, 780563, 1524392, 2634011?\n\"Answer: 12193*x**3 + 56*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-12))\/1)\/((-14)\/42).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(3\/7))**(2\/181)*(g**(-47))**(-5))**(2\/45) assuming g is positive.\nAnswer: g**(595502\/57015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 6595*t + 32. Let s(f) = 6599*f + 38. What is -5*s(v) + 6*y(v)?\nAnswer: 6575*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**4\/48 - 5*g**3\/12 - 25*g**2\/8 + 64*g - 2. Factor j(a).\nAnswer: -(a + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*469\nAnswer: -93.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8726628*x**3 - 4578591.\nAnswer: 26179884*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 7*z + 1. Let a(j) = -j. Give 3*a(x) + i(x).\nAnswer: 4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-9) + 50\/(-6). Let n = -1 - b. Find the second derivative of n*c - 3*c**2 - 6*c**2 + c**2 wrt c.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*u + 18*u - 8*u.\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -922*g - 5437. Determine d(-6).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 12:39 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 114*u**2 - 236*u**2 + 125*u**2. Let o(x) = -20*x**2. What is o(k(w))?\nAnswer: -180*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 - (43 - 11) - -27.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236062?\nAnswer: 2, 17, 53, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 4*x - 8. Let k be d(-6). Let c be (-3 + 6)\/(6\/k). Suppose 0 = 5*r - 5*n - 85, r + 2*n + n + 3 = 0. Solve 2*h + c*h = -r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 139 + 68 = -3*u, -2*u + 3*m - 133 = 0. Let p = -71 - u. Let c = 2\/431 + -1762\/8189. Which is bigger: c or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 1 + 10*p**2 + 8*p - 25 + 16 + 1. Let c(o) = -3*o**2 - 3*o + 2. Determine -7*c(s) - 2*f(s).\nAnswer: s**2 + 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 418.4 - 422.522. Let q = f - 0.878. Which is the closest to -1\/4? (a) -0.5 (b) -125 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6579379 is divided by 2193126.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 10) in base 9?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26586 and 270522?\nAnswer: 57080142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, -4, 16, 4882 in decreasing order.\nAnswer: 4882, 16, 6, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 878*d*r**5 + 30*d*r**2 + 3*d*r + 4*r**2 wrt r?\nAnswer: 52680*d*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 976\/1098*(-30 + 12)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173848 = 93*z + 25141. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11\/5 + (-1672341)\/55. Round p to the nearest 100.\nAnswer: -30400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 7*y**3 - 2*y**2 + 2*y + 1. Let z be t(1). Let n = -116 + 117. What is the closest to -1\/4 in z, -1\/4, 1\/6, n?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -166744 greater than -166718?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17.88*-710.\nAnswer: -12694.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3812574 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68 + 10. Suppose 15 = -3*l, 0*v = v - 4*l - 120. Let n = v + j. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.002 - -20663.\nAnswer: 20664.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001727325612 rounded to 6 dps?\nAnswer: -0.001727","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5392770287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107642 is divided by 688?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2\/17, -9\/4, -0.04, -1, -2, 12, 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/6 of a year?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 285 and 2180820?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*z + 4 - 37 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwwxwwjcxwwtx. What is prob of sequence tw?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**32\/((y*y**(-38)\/y)\/y*y*y*y) assuming y is positive.\nAnswer: y**68","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194072 = -27*t - 41*t. List the prime factors of t.\nAnswer: 2, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24818010 or 24818011?\nAnswer: 24818011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2631, -4, -5, 7, -2, -1 in descending order.\nAnswer: 2631, 7, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 2152.02.\nAnswer: 215.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 21 = -3*u, 2*y - 5*y = 2*u - 18. Suppose -p = -k - 4, 5 + y = 2*p - 3*k. Solve p = m - 2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1442059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 416 = -5*p, 0*l + l + 5*p - 112 = 0. Calculate the highest common factor of l and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w. Let o(k) = 3*k**2 + 5*k - 5. Let u(v) = v**2 + v - 1. Let j(p) = -3*o(p) + 15*u(p). What is h(j(t))?\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -71b633 (base 14) to base 4\nAnswer: -32220023131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3874905?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -467 + 540 + ((6 - 5) + -1 - 11)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -13*w**3\/3 + 29*w**2\/2 + 587*w. Let t(r) = -9*r + 10. Give 17*t(i) - 6*x(i).\nAnswer: 3*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 20. Suppose 3*n + 0*n = 2*l + 58, 0 = i*l + 4*n + 30. Let c = 19 + l. Sort c, 1, -2, 5 in increasing order.\nAnswer: c, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/5*(-110)\/66*-3. Solve 2*g - 5*t + 0 = -24, 2 = -5*g - u*t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5+866456\nAnswer: 866461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3900) + sqrt(3900) + (sqrt(312) - sqrt(312)*-1)\/sqrt(8))\/((sqrt(75) + -4*(sqrt(75) + (sqrt(75) - (sqrt(75) - sqrt(75)*-2))))*-3).\nAnswer: -22*sqrt(13)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*w**2*x + 77*w**2 - w*x**2 + 171*x**2 + 36 wrt w.\nAnswer: -18*w*x + 154*w - x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - (-6)\/(-15))\/(14\/1855). Suppose -6*a = -k - 88. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 362045403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2671054 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 3*m**5\/20 + 6*m**2 - 17*m. Differentiate p(z) wrt z.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*k + 14, 0 = -3*k - 5 + 14. Let q = -5690 + 5698. Sort 0.4, f, q in descending order.\nAnswer: q, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*i = 0, -2*w - 4 = 5*i. Let n = 226 - 224. Let z(a) = n*a**3 - 3*a**3 - a**2 - 1 - 16153*a + 16152*a. What is z(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -362688, -362672, -362646, -362604, -362540, -362448, -362322?\n\"Answer: y**3 - y**2 + 12*y - 362700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**2 - 1007*x - 21572. Calculate z(356).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6995580?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**4 + 12*u**3 - 143*u**2 - 9*u - 9. Let r(x) = 3*x**3 - 36*x**2 - 2*x - 2. Let w(b) = 2*j(b) - 9*r(b). What is the third derivative of w(k) wrt k?\nAnswer: -48*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11211103213 (base 4) in base 3?\nAnswer: -2202100120201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1212)\/(-4)*(-3 - 22\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 5*d + 80, 0 = 5*d - 3*d - 2. Let y be 15*(i\/9 - -2). Suppose a - 48 = -2*s, y*a - 5*s - 276 + 36 = 0. Is 19 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**7*f**(-4\/7))**47\/(f**(-4)\/(f\/(f\/(f**(2\/3)\/f))))**(5\/9) assuming f is positive.\nAnswer: f**(57490\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.05 + 7.65. Let q = -12.7 + w. Which is the second smallest value? (a) q (b) -5 (c) -3\/2 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*k + 3486, 0*k - 2*k + 3477 = 5*x. Let g = -4 + 6. Suppose 0 = -3*z + 2*j + k, -2053 - 841 = -5*z - g*j. Round z to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 9*q**2 + 14*q - 4. Let d(r) = r**2 + r - 1. Let n(v) = -4*d(v) + h(v). Factor n(z).\nAnswer: 5*z*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 600 is divided by 89.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o + 4*o - 7*o + 6 + 8. Determine m(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.15695mg in tonnes?\nAnswer: 0.00000005315695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1718848322?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 5 (c) -1\/172 (d) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33407651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 6*o**2 - 5. Let w be t(6). Suppose 2*s = -0*s + 20. What is the tens digit of w\/(s\/(-42)) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-7) + (-162)\/(-14). Let n be (-96)\/144 + m\/3 + 1. Suppose -2*c**n + 8*c**3 - 6*c + 13*c**3 + 9*c**2 - 7*c**4 - 15*c**5 = 0. Calculate c.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1176 + 2a?\nAnswer: -1148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4788 times -0.1\nAnswer: -478.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -57 or -200?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 16*x + 76. Determine k(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 201533995 to the nearest integer?\nAnswer: 14196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 98*m**2*t**3 + 2*m**2*t + 2*m**2 - 4*m*t**4 - 7*m wrt t.\nAnswer: 588*m**2*t - 48*m*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432869 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/2 + 1635*r\/2 + 71841.\nAnswer: -3*(r - 622)*(r + 77)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/7)*y**(-8))\/(y**0)**(-3\/8)*y*y\/(y\/(y\/(y*(y\/y**(-3))\/y))*y*y)*y*y**1*(y*y*y**(2\/11)*y*y*y)\/(y\/(y\/(y**(5\/3)\/y))) assuming y is positive.\nAnswer: y**(-1333\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3*h = b + 8, -h = 0. Suppose -w = -b*w + 2. Suppose 1 = -s + w. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5*z + 18 = 0. Let h(t) = t**3 - 4*t**2 - 2*t - 7. Let y be h(5). Suppose -y = -4*l + z*l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/6 + ((-29728)\/(-20))\/((-33)\/(-55))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 205*k + 41015 = 504*k + 332*k for k.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11963 and -1404439?\nAnswer: 1416402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4 + (sqrt(121) - (sqrt(121) + (sqrt(121) - ((sqrt(121) - -4*(sqrt(121) - (1*sqrt(121) - sqrt(121))) - sqrt(121)) + sqrt(121)))))\/sqrt(11).\nAnswer: 6 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c - 31. Give o(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 32*s**3 - 4*s + 4. Let i(a) = -33*a**3 + 5*a - 5. Calculate 5*h(l) + 4*i(l).\nAnswer: 28*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 913 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -24144555 (base 7) to base 11\nAnswer: -1236152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 781751689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 - -15. Let n(c) = c**3 + 11*c**2 - 11*c + 13. What is the remainder when n(d) is divided by (-2)\/(16\/24*(-2 - 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*12\/(-70)*-7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a + 6 = -23*a. Let t(m) = -6*m**3 + 9*m**2 + 27*m + 18. Let r(c) = -c**3 + 1. Let w(h) = a*t(h) + 3*r(h). Suppose w(i) = 0. Calculate i.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from sssgsssssssssss.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 9*c + 2. Calculate r(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 5:11 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 800\/(-30)*(-7)\/(-525)*5.\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31001.9499952 + 31033.95. Let i = 0.067 + 31.933. Let w = i - n. Round w to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 153960?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2039*j**2 + 3241*j**2 + 3173*j**2 - 861*j**2 + 4999*j**2 as p + q*j + v*j**2 and give v.\nAnswer: 8513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/4*-118 - 4. Let s = a - 23. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1011 - 311?\nAnswer: -1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 10*i**2 + 8*i + 13. Let q be (-166)\/18 - (-14)\/63. Let y be c(q). Calculate the remainder when 22 is divided by y\/6*3 - -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 6*p**2 + 2*p + 8. Let v be x(6). Suppose -a + 23 = -3*a - 5*l, 0 = -5*a - 5*l - v. What is the first derivative of 3 + 2*i - a - 1 wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1*1\/23)\/(-1). Suppose -23 = -4*g + 57. Let z = 20 - g. Are z and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 19. Suppose 3*l - 2 - 2 = -p, -3*l + p + 14 = 0. Suppose 4*k - 28 = -x - k, 4*x - 20 = l*k. What is the remainder when t is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -3\/139 (c) -0.01 (d) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 24*g + 1. Let n(x) = x**3 + x**2 + x - 1. Let p be n(0). Let h(i) = i + 1. Let m(o) = p*t(o) + 6*h(o). What is the derivative of m(z) wrt z?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 16) to base 4.\nAnswer: -1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6034400 to the nearest ten thousand.\nAnswer: 6030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 - 3*k**3 + 27 - 34 as h*k + d + c*k**3 + n*k**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 266 = -2*w, -12 = 4*v - 4. Suppose -6*n = -24*n + 1152. Let o = w - n. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 5)*(-3*y + 2*y - 7*y).\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) - (0 + sqrt(1573)*2)) + (sqrt(1573) - 1*sqrt(1573)*6))**2 - (3 + 0 + sqrt(13) + -2 + ((sqrt(468)*2 + sqrt(468))**2 - sqrt(468)) + -4).\nAnswer: 5*sqrt(13) + 52419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 4*p - 11 = -9*u, 2*p - 11 = -3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/5 - 58*d**3\/5 + 949*d**2\/5 - 3132*d\/5 + 2916\/5.\nAnswer: (d - 27)**2*(d - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -3492.1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 4) to base 12\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 291868?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -165057 (base 9) in base 5?\nAnswer: -11231422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 119885816?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 - 81824*m - 19567152.\nAnswer: -4*(m + 242)*(m + 20214)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -130642122?\nAnswer: -130642125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14564125?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ce07 (base 15) to base 3.\nAnswer: -11210022221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, 1, -3 in ascending order.\nAnswer: -7, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2074*c**2\/7 + 16588*c\/7 - 32\/7.\nAnswer: 2*(c + 8)*(1037*c - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = 2*d - 2*j, -2*d = 2*j - 6. Let k be (-505)\/30 - d\/12. Let r = k + 31. What is the remainder when 27 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1587701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 3*p**2 + 12*p - 12. Let j be m(5). Let v be (-323)\/(-3) + j\/(-6). Let b be v\/(-26) - (-14)\/91. Sort 7, 5, b, 1.\nAnswer: b, 1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -206791480 from -456.\nAnswer: 206791024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 m when two letters picked without replacement from ytytttyyttm?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 21370 - 21474 = 0 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**4 + 15*j**3 - 21*j**2 + 9*j = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/1 - 2 - 38. Let i = 132 + -148. Let k be 2*19*d\/i. Calculate the greatest common factor of k and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 1207*z**2 - z + 229. Let d(v) = 1206*v**2 - v + 224. Let s(t) = 3*d(t) - 4*m(t). What is the second derivative of s(r) wrt r?\nAnswer: -2420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/9 + (-3)\/(-54)*4. Suppose 0 = -h*g + o + 205, -2*g + 3*o = 2*g - 409. Let t = -68 + g. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4602*x**3 + 9*x**2 + 12*x + 31. Let v(l) = 13807*l**3 - 25*l**2 - 33*l - 85. Determine 11*a(f) + 4*v(f).\nAnswer: 4606*f**3 - f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -11. Let r = 4.7 + -5. Which is the second biggest value? (a) r (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 173. Let i be 17\/(1\/1) + -2. Calculate the greatest common factor of b and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.46 + -0.06. Let x = 793 + -792.9. Which is the closest to -14? (a) i (b) x (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 9:11 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-504 - -523) + 32 + -2\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*b - 5427 = 420*b + 8062 for b.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 1)\/(2\/(-8)*-1). What is the remainder when f\/7 + 4922\/161 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of k**6\/96 - 31*k**5\/48 + 15*k**4\/2 + 675*k**3\/2 + 10*k**2 + 36*k. Let s(v) = 0. Calculate v.\nAnswer: -5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2633 (b) -0.3 (c) -2 (d) -0.2 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 11957?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2) + 3*sqrt(2) + -1)**2*1.\nAnswer: -24*sqrt(2) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**5 - 7119*o**4 + 107469*o**3 + 21363*o**2 - 308142*o - 214920 = 0 for o.\nAnswer: -2388, -1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -9*s + 29. Let g(p) = 4*p**2 - 11*p - 4. Let l(f) = -f**2 + f - 1. Let h(j) = g(j) + 5*l(j). Let u be h(-6). Does 11 divide t(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**4 - 1116*z**3 + 34048*z**2 + 1116*z - 34046 = 0. Calculate z.\nAnswer: -587, -1, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 5)*(-3 + 10 + 2)*((-1 + 0 + 2)*(-1 - q + 1) + 5 - 5 - q) in the form s + a*q and give a.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 938 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: Suppose -15100 = 531*m - 521*m. Are -1508 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -2\/7, -10, -621?\nAnswer: -621","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 1.1. Let h = 20591 - 20591.3. Put 0.5, m, h, 0.4 in ascending order.\nAnswer: h, m, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + y = -28 - 0, 17 = -4*d + y. Let j = 5 + d. Suppose w + j = -4. Which is the nearest to 0.1? (a) 0.4 (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2885\/4 + 722. Which is the closest to 1? (a) -3 (b) -7 (c) -1\/3 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2 + 3 + 1296211*h.\nAnswer: 1296211*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -11*a - 14*a + 47*a - 12*a + 2 - 11*a. Let r(q) = -1. Give c(s) + 5*r(s).\nAnswer: -s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 97. Let n = x - -28. Let v = n + 40.8. Which is the second smallest value? (a) -4 (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 27 = 5*n. Let f(b) = 2*b + 4. Calculate the common denominator of -31\/8 and f(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-4))\/((-132)\/32).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 15 = 5, 4*z = 5*o - 164. Let s = z + 75. What is the remainder when s is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1241 + -1?\nAnswer: -1242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*u + 5*u - 10*u)*(-5*u + 5*u + 5*u) + (-u**2 - u**2 + 3*u**2)*(-2 + 3 - 3) + 30*u - 5*u**2 - 30*u as y*u + c + z*u**2 and give z.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-148)\/(-888))\/((50\/(-3)*1)\/4).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -2. Let n = -37.9 + 37.6. What is the closest to n in c, -4, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -16 - 9*c - 2*c + 8*c + 0*c. Let f be q(5). Which is greater: f or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 3*m - 46 = -s, 0 = 3*s - 4*m + 16. Let l = s + 144. Suppose u + k + 2*k - 66 = 0, -4*k = 2*u - l. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 7*r**2 + 3*r. Let w be h(7). Let g be (-70)\/w*3\/(-5). Let q(i) = i**3 - 2*i**2 + 2*i. Give q(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6145, 4, -2, -4 in descending order.\nAnswer: 4, 0, -2, -4, -6145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 g when two letters picked without replacement from {p: 4, f: 2, g: 3}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 + 2*n**4 - n**2 + (2*n**3 + 4*n**2 - 4*n**2)*(5*n - 26*n - 2*n) as b + x*n**3 + t*n**2 + g*n + w*n**4 and give w.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3261.\nAnswer: 3, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*a = 5*a + 100 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 198671, 198850, 199149, 199568, 200107, 200766, 201545?\n\"Answer: 60*o**2 - o + 198612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1712522445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*p + j + 3*j, 14 = -3*p - 4*j. Let m = 1531\/14994 + 15\/1666. What is the biggest value in p, -15\/26, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 270 and 1343\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.87 - -2.07. Sort -7, 2, m, 0.\nAnswer: -7, 0, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 569 + -618.4. Let c = -49 - r. What is the smallest value in c, -0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37222078 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 6*s**2 - 6*s - 3. Let h be b(-5). Solve 1 = -a - h for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28175 - 3333.\nAnswer: 24842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**7\/11340 - d**6\/3240 - d**4\/4 + 2*d**2. Let h(k) be the second derivative of b(k). Factor h(p).\nAnswer: 2*p*(p - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -99\/4*o - 15\/4*o**3 + 27\/2 - 21*o**2 = 0.\nAnswer: -3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/135 - (-124)\/30. Calculate the remainder when ((-62)\/4)\/(1\/(-4)) is divided by 2\/y*((-17 - -11) + 32).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(-4416*r**2 - 8317*r**2 + 6145*r**2 + 3*r**2 + 2*r**2 - 7*r**2 + (0 + 0 - 2*r)*(-r + r - r) - 3*r**2 + r**2 + r**2).\nAnswer: -13178*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -173992302 by 6.\nAnswer: -28998717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 0*b**2 + 0*b**3 - 1\/4*b**4 - 3\/20*b**5 + 0 - 16*b. Calculate u(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.9 + 13. Which is greater: 0.6 or k?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2083881?\nAnswer: 3, 83, 8369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1247 - 528.8. Let f = -718.2005381 + b. Round f to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 smaller than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2012, 0, -170 in ascending order.\nAnswer: -2012, -170, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6620459 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 943625.\nAnswer: 5, 7549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21206838 rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 612 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59628?\nAnswer: 2, 3, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 0 - (-2949 - -2938)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(3 + 2*2\/(-1)). Suppose 4*g + y*g - 40 = 0. Let v(h) = -h + 17. Give v(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6923679 is divided by 589.\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - n + 208 = 0, 0*n + 3*n - 204 = 5*x. Let g be 42 + x + 1 + 3. Suppose 2*q = -2*i - 56, -2*i + 3*i + 56 = -2*q. Put g, q, 0 in descending order.\nAnswer: g, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91924 and 3087.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26435)\/595 + 10\/(-63)*-9?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**2 + 2*f**2 + 4*f**2 + (1 - 1 - f)*(-4*f + f + 4*f) + (2*f + 8 - 8)*(-7*f + 2*f + f).\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 22*c**3 + c**2 + 4*c - 4. Let k(r) = -r**2 + 2*r + 3. Let i be k(0). Let u be w(i). Calculate the common denominator of (-4)\/6 - u\/(-858) and 1\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 + 2 - 2 + (-3*q + 7*q - 3*q)*(1 - 1 + 2*q) - 24644215*q + 24644215*q - 1354 + 2*q**2.\nAnswer: 5*q**2 - 1354","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-48)*-10*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) 5\/6 (c) -0.03 (d) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 9 = 3*g. Let j be (-15)\/2*(g - -1). What is the greatest common divisor of 120 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -222*s - 223. What is the units digit of v(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 - 16*i**2 + 10*i**2)*(8*i**3 + 7*i**3 - 2*i**3).\nAnswer: -91*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32.15 - -36.15. What is the closest to 1 in 57, x, -5\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94270 is divided by 51.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -227, -3725, -3 in descending order.\nAnswer: 16, -3, -227, -3725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 89 + 67. Suppose 7*z = 27 + l. Solve 0*a - z = -5*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.044 - 3.894. Let p = 0.05 + q. Let l = 3.80000042 + p. What is l rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20160.25 less than -363077?\nAnswer: -342916.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8315318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1680930 and 29070.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 25848833 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 4 = -c, k + 3*k = 5*c - 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 j when four letters picked without replacement from {i: 6, q: 1, j: 5, f: 5}?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 72.61915 micrograms?\nAnswer: 72619.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2117 + 280*u - 1741 - 62 - 5*u**2 + 0*u**2.\nAnswer: -5*(u - 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025 - 1777222.0888?\nAnswer: -1777222.0638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11465 times -0.4\nAnswer: -4586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 19*x**3 + 2*x + 3 - 119*x**3 - 57*x**3 + 25*x**3 to the form v*x**2 + j + a*x**3 + h*x and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -3. Suppose -2*x - 4 = -x, 4*k + s = -3*x. Suppose 6*t = 2*t + 4, 8 = -5*b - k*t. What is the third biggest value in 1, -3, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -3. Suppose -5*z + 5*m - 60 = 0, -5*z - m - 30 = -d*z. Let l(g) = 1285*g**2 - 4*g + 7. Let a be l(z). Round a to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 273115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 279, 273, 267?\n\"Answer: -6*a + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/28 - ((-455)\/(-49) + -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, v: 1, n: 2, w: 1, g: 2, l: 1}. Give prob of picking 2 n and 1 b.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 313302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-20)\/12)\/((-1)\/(-3)) - -1. Let q(u) = 3*u**3 + 2. Let d(y) = -2*y**3 - 1. Determine m*q(f) - 7*d(f).\nAnswer: 2*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbvbvvbbbbvvbbbvbb. What is prob of sequence vb?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, z: 7, t: 6}. What is prob of picking 1 a, 2 z, and 1 t?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2936, -12251, -27820, -49631, -77672, -111931, -152396?\nAnswer: -199055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5*9\/(-270)*3\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1842 + 3271. Suppose 6*s = 4993 - p. Suppose -4*t = -122 - s. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1108370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 549 * 2\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (10 - (4 - 1)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*4*5*((0 + sqrt(2))**2 + 2).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10754, -10718, -10640, -10508, -10310?\n\"Answer: 2*n**3 + 9*n**2 - 5*n - 10760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 3:30 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02 - -0.1. Let t = 3.92 + y. Let m = 1.8 + -2. Which is the closest to 0? (a) m (b) -0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*k + 7 = 40*k. Let v(w) = w**3 - 5*w**2 + 3*w - 11. Let c be 1\/10*5*10. Let i be v(c). Solve i*g - 5 + k = 0, 3*d - 2*g - 1 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*v - 47, 2*m + 32 = -5*v + 73. What is the greatest common divisor of m and 1596?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 11 - 2, -5*q + 321 = p. Let g = p - 319. Does 17 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/(-5)*(-40)\/(-12). What is the highest common factor of 132 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*a**5 + 0*a**5 + 7*a**6 - 5*a**6 - 8*a**2 wrt a.\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 453790381?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 8:44 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - 0.3. Let q = -8.17 - -8.2. Are n and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 + 29. Let n(l) = -l**3 - 27*l**2 - 41*l - 65. Is n(w) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 155*q + 4328. What is v(179)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 805\/70 + (2 - 8 - 3)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 6.6. Let i = -20 + c. Let k = 1.53 + i. What is k rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 52\/5 (c) -6\/11 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 14\/(-1*(-14)\/21) - 6?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + u - 20 = 0, -4*u = -5*l - 2*u + 5. Suppose -2*f = f + l. Sort -4, 3, f in decreasing order.\nAnswer: 3, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 3*q**2 + q - 12. Determine m(-7).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4588\/19 - 110171\/380. Let t = 101\/2 + b. Calculate the common denominator of t and -33\/68.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-4 - -25) + -10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 0, 26, 982 in descending order.\nAnswer: 982, 26, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*k + 7*s - 4*s, -2*s = -2*k + 14. Factor -5*b**k + 11*b**2 + 7*b**2 - 5*b + 5*b**3 - 20*b**2 + 7*b**2.\nAnswer: -5*b*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 66*n - 1. Let v be a(-1). Let u = -26 - v. Let g(b) = b**3 - 14*b**2 + 24*b + 14. Calculate the remainder when u is divided by g(12).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4, -554*n - 26 = -557*n + 4*p. Solve -n = 2*l + 5*h, -4*l - 8 = -4*h - 24 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 + q**3 + 0*q**3)*(5 - 2 + 0).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-836*i - 238*i - 2559*i)*(3*i - i - 4*i) to the form c*i**2 + f + r*i and give c.\nAnswer: 7266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*60\/(-1350)*3\/(-4).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.111 + -0.141. Let g = 0.03 + h. Let v = -4.6 - 0.4. What is the second biggest value in -1\/2, v, g?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -35*j**2 + 3*j - 7. Let y(p) = 17*p**2 - 2*p + 4. Suppose 7*r - 10 = 18. Let o(n) = r*x(n) + 7*y(n). Find the second derivative of o(i) wrt i.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**3 + 7*z**2 - 5*z + 4. Let f(h) = 3*h**3 - 7*h**2 + 4*h - 4. Let a(c) = 4*b(c) + 3*f(c). Let x be a(-8). Solve -i - x = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (70\/1575)\/(46\/11780). Let d = v - 180\/23. What is the common denominator of 80\/33 and d?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 539\/336*(-4 - -1) and 91\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -3*z + 2*a, 3*z + 3*a - 4*a = 7 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -20 - 37. Let j = z - 14. What is the highest common factor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -19. Let a be (0 - -1) + 32 + (19 - 15). Calculate the greatest common divisor of a and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -r*t**2*u**3 + 270162*r + 4*t**2*u**3 - 9*t**2*u - 126*t + 10*u**3 + 2 wrt r.\nAnswer: -t**2*u**3 + 270162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -6*x - 2*x + 4*x. Let t(f) = 2*f**2. Determine z(t(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1325.11 or -0.2?\nAnswer: -1325.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 303\/1515 + 83368\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-447*n**4 - 67683 + 67683)*(7*n + 0*n + 3*n).\nAnswer: -4470*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/10)\/(3\/(-20)). Let o be n\/(-36) - 32\/(-18). Suppose 7 = o*p - 1. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.46, -15\/7, 98\/3?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 612*i - 1 - 266*i - 297*i to the form t + s*i and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29.64 + -0.36. Let m = s - -31. What is the nearest to 0.1 in 1\/3, m, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 898732 and 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/52*(-3)\/7\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 7058145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = z - 1, 4*z + 41 = -h + 6*h. Suppose -h*o + 12 + 3 = 0. Let a(v) = v - 3. Give a(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/((u**(-2\/5)*u)\/u)*u*u\/(u**17\/u)*u assuming u is positive.\nAnswer: u**(-58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -964826, -964773, -964720?\n\"Answer: 53*m - 964879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 266 + 59 = 0. Let f(w) = 11*w + 15*w - 1 - l*w. Let o(s) = s**2 + 4*s - 7. Let y be o(-6). Give f(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1129233, -1129234, -1129235, -1129236?\n\"Answer: -u - 1129232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12140 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 39366*n**4 - 324*n**3 + 2*n**2\/3 = 0?\nAnswer: 0, 1\/243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3624920 divided by 10.\nAnswer: 362492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*x + 22*x + 7618 = 0. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0) + (-1 - (2 + -5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -100439*a**2*s**3 - 25*a**2*s**2 - 61*a**2*s - 86*a*s**5 - 17*s**2 + 2*s + 64 wrt s?\nAnswer: -602634*a**2 - 5160*a*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -1\/2*y**2 - 38 - 1\/30*y**6 - 8\/25*y**5 + 0*y - 9\/10*y**4 - 16\/15*y**3. Factor q(c).\nAnswer: -c*(c + 1)**3*(c + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/10)\/(95 + 160991\/(-1990))?\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1138436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 51*u - 17*u**2 - 6*u**2 + 25 - 15*u**2 + 46*u**2. Differentiate y(n) with respect to n.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 2548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 + -17. Let j = -11.7 + o. Let p = j - 0.7. Put 2\/7, -0.1, p in decreasing order.\nAnswer: 2\/7, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*((-16)\/180)\/(32\/80).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 1 + 2)*(-27*n - 59*n + 111*n) + 1 + n - 1 + 0*n - 2*n + 0*n.\nAnswer: -126*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*k**4*y**3 + 4*k**4 + 60*k**2*y**2 - 2*k*y**3 wrt k?\nAnswer: 288*k*y**3 + 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1842 + 29*m**2 + 1822 - 2*m**2 - 3664.\nAnswer: 27*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-2\/33))\/b)**45*b**17*b*b*b**25*b)**(-1\/41) assuming b is positive.\nAnswer: b**(-465\/451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 522 + 10?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*n + 22 = 0, -3*n + n + 8 = 0. Let h be 38\/(-8) - r\/4. Let o(z) = z**2 + 7*z + 6. Let f be o(h). Sort -2, 2, f in decreasing order.\nAnswer: 2, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -182, -748, -7 in decreasing order.\nAnswer: 2, -2, -7, -182, -748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 277465850 to the nearest 100000.\nAnswer: 277500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g + 6 - 6)*(g - 3*g + g + (g + 3*g - 5*g)*(3 + 4 - 5) + g - g + g + 0*g + 0*g - 5*g) to the form h*g + i*g**2 + f and give i.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a - 4*a + 0*a + (-2 + 0 + 0)*(-a + 1 - 1) + 5*a - a - 2*a)*(17*a**3 - 24*a**3 + 13*a**3) in the form w*a**4 + m*a**3 + k*a**2 + f + s*a and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1033 - -2017. Does 20 divide (k - 0) + (-120)\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than 6441?\nAnswer: 6441.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-629720)\/(-39))\/20*(-1548)\/(-42)?\nAnswer: 2, 43, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -121*q**3 + 3*q - 6. Let t be j(3). Calculate the common denominator of 65\/56 and 5 + (16541\/t - 8\/(-6)).\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d46d (base 14) to base 13.\nAnswer: 1383a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -283, -329, -453, -697, -1103, -1713, -2569, -3713?\n\"Answer: -7*x**3 + 3*x**2 - 6*x - 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1872) + sqrt(1872))\/(sqrt(4) - -5*sqrt(16)\/sqrt(4)) + (2*sqrt(3146))\/(sqrt(450) + sqrt(2)).\nAnswer: 27*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 21*t - 1008. Let h(x) = -5*x + 251. What is 2*f(i) + 9*h(i)?\nAnswer: -3*i + 243","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -421670 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}