diff --git "a/data/dm_maths/full_data_1/11186_11255.jsonl" "b/data/dm_maths/full_data_1/11186_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11186_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 1 divided by -58?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 5*n**3 - 13*n**2 - 2*n - 3. Let i(b) = -7*b**3 + 15*b**2 + 2*b + 3. Let c(x) = -3*f(x) - 2*i(x). Give c(9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.16 (b) 3 (c) 79 (d) -5 (e) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18\/16277 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18357238 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**4 + p**4 - p**4 + (4*p**4 - 5*p**4 - 2*p**4)*(-30 + 10 - 21).\nAnswer: 126*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(5\/(-2)) + 0. Suppose 0 = -4*w - 0*w - 2*l - 10, -9 = 3*l. Which is bigger: x or w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 s when four letters picked without replacement from {d: 13, s: 6}.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -75 - -80. Let v be 847006 - -1*(-30)\/j. What is v rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -5*f**5\/4 + 5*f**4\/2 + 50*f**3 + 175*f**2\/2 - 195*f\/4 - 90 = 0.\nAnswer: -3, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**2 - 6*w + 9. Let n(l) = -7*l**2 + 11*l - 19. Let m(u) = 9*f(u) + 4*n(u). Let z be m(-10). Calculate the highest common factor of 10 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z + 20 = 8*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 109 = -13*r. Solve -2*y + 2*o - 10 = 0, -o + 0 + r = -2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -21*q**2\/2 + 39*q - 20. What is the first derivative of h(l) wrt l?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 862500\/24*(1 + 1023). Suppose 3*b = -5*b + j. Round b to the nearest one hundred thousand.\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 times 7?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54114?\nAnswer: 2, 3, 29, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 12:16 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**4\/3 + 172*g**3\/3 - 5723*g**2\/3 + 44660*g\/3 + 63404 = 0 for g.\nAnswer: -3, 22, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**4 + 33*u**3\/2 - 22*u**2 - 63*u\/2 + 9 = 0.\nAnswer: -1, 1\/4, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 442931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35411748 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -994\/5225 - -4\/475. What is the fourth smallest value in r, 4, 2\/11, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/(-10)*(-174)\/9. Let x = 35 + y. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -23. Suppose -1 = 5*s - 26, -s = l*c - 152. Suppose u - 5 = c. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-86)\/(-1) - (-10)\/(-5) is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/7, 3, 1\/9, 5994, 5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1147221788\/75 + -15295391. Let t = -2696\/3 + k. What is the common denominator of 79\/15 and t?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 9*a**2 - 6*a - 9. What is the remainder when 13 is divided by l(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 2\/5 (c) 6 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (28 - (-24)\/3) + 8. Suppose 6*r - f = -38. Are 1\/225 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 6 - -3 - (-7 - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*g + 41*g + 53*g)*(-2*g**2 + g**2 + 0*g**2)*(-12 + 3 + 19).\nAnswer: -590*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/4)\/((-6)\/(-8)). Find the second derivative of 6*p**3 - y*p + 7*p - 5*p**3 wrt p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m + m + 0*m**3 - 15*m**3.\nAnswer: -15*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 6*d**2 + 6*d + 18. What is o(9)?\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6)\/2*-1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 960078 is divided by 553.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 - -29. Let v = 4.23 + -0.23. What is the closest to 1\/4 in v, -19, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 14*b + 10. Let v be c(9). Let o = v + -821\/6. Which is smaller: -0.1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 15) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1216 and 248896.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence em when two letters picked without replacement from swswwmesvwvwssq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -3\/5*f**3 - 48 - 294\/5*f - 57\/5*f**2 = 0?\nAnswer: -10, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 1 - -4) + 6 + 0?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222012 + 10?\nAnswer: 222022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-78)\/(-15) - 7)\/(2\/(-370)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 810337 >= 810338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 21*z**2 - 3*z + 3. Let q be s(1). What is the highest common divisor of q and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1304, -1313, -1336, -1379, -1448, -1549, -1688?\n\"Answer: -o**3 - o**2 + o - 1303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 213 = 4*k - 3*x, 5*x - 520 = 5*k. Let t = 174 + k. What is the remainder when t is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1163127, -1163264, -1163393, -1163514, -1163627?\n\"Answer: 4*k**2 - 149*k - 1162982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 2*w**2 - 1 + 0*w - 1\/3*w**3. What is the second derivative of u(a) wrt a?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 54 - 14. Suppose 35 = 4*k - 5*q, 6*k - j = k + 5*q. Suppose 3*a + 3*h = -0*a - 6, -k*a + 5*h - 40 = 0. Put 1, -4, a in decreasing order.\nAnswer: 1, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(1\/10))*o\/o**(-1\/12))\/(o\/((o\/(o\/(o**2\/o)))\/o))**(-16) assuming o is positive.\nAnswer: o**(1019\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 8 = -23. Suppose -9*i - 10 = -5*f - 7*i, i = g. What is the remainder when 17 is divided by 13 - (46\/14 - f\/14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 less than 5614?\nAnswer: 5630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*c - 114 = -26 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 + 37. Which is bigger: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10584\/(-198))\/(-14) + 1 + -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**5\/3 - 118775*x**4\/3 - 11528186*x**3\/3 - 95017648*x**2 - 83687424*x + 182587392 = 0.\nAnswer: -48, -2, 1, 118872","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*x + 4*x + 20*x - 5*x + 21*x.\nAnswer: -21*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/34835941 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/22860 and 19\/720.\nAnswer: 91440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -314484 + 10774484. What is w rounded to the nearest one hundred thousand?\nAnswer: 10500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3 + 86*u**3 - 1 + 7 + 19*u + 12*u**2 - 85*u**3. Is c(-10) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (2 - 4 - -1) + 3 - 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4550)\/(-195)*(-6)\/5.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 1:20 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -10*k + 729. Determine x(69).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 4*f - 3. Let a be l(-13). Let c = 5 - 2. Is 2\/c*a\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9147 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21 and 7338.\nAnswer: -154098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rk when two letters picked without replacement from {x: 1, r: 1, j: 1, k: 4, y: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410197711 is divided by 205098846?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-10) + (-2788)\/(-10). Let l be (d - -1)\/(2\/5). What is l rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -6, 9, 52, 135, 270?\nAnswer: 469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1093)\/(-40) - 27 - (-3)\/(-24)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18001624 divided by 2911?\nAnswer: -6184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2667 and 762.\nAnswer: 5334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1110101 (base 2) to base 8\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414501 is divided by 3728.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54 + 54. Let z(l) = u*l**2 + 6*l**2 - 8*l**2. Let b(h) be the third derivative of -h**5\/15 + h**2. Give z(b(g)).\nAnswer: -32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/4)\/(((-1890)\/(-112))\/(-15))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**3\/z)\/(z\/z**(-18))*z**(1\/15)\/((z**(-2\/7)*z*z)\/z))**(-36) assuming z is positive.\nAnswer: z**(20976\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1265549.\nAnswer: 1265549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 869\/88 + -10 - 0.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-555628)\/817100)\/((-1)\/(-1)*2\/10)?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000037169329 to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + 4. Let v = 27 - d. Solve -2*o = 0, -6*s + s - v = -3*o for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g + 5*g - 4*g - 6*g - g + 5*g + (3 - 3 - 2)*(-5*g + 3*g + g) + 1 + 2*g - 1 + 2*g - 2 + 5 - 5 to the form d*g + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 8:41 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4 + 10 = 3*t, 4*t - 4*s = -8. Is t > 8\/51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 161667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 54719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(3\/8))**(2\/97)*(j**(-3\/8))**(-1\/24) assuming j is positive.\nAnswer: j**(177\/6208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -120559644 divided by 1?\nAnswer: -120559644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxnxxxxnx. What is prob of sequence nxn?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from cccccckckk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 - 2*w - 31. Calculate y(-5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 divided by -39.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 367095021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*v - 140*v + 13280 = -155*v - 68*v for v.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(2\/25)*w)\/w*w*w**(5\/9) assuming w is positive.\nAnswer: w**(593\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -627.18 - -634. Let t = 0.18 + q. Let h = 5 - t. Are 0 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3 = -h. Let r(l) = -5 + 2*l**2 + 2 + 3*l + 0. What are the prime factors of r(h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1654, 12585, 41700, 97915, 190146, 327309, 518320, 772095?\nAnswer: 1097550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1655 + -2621. Let m = b - -1579. What are the prime factors of m?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-six fifths of a micrometer?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 3*c**3 + 8.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1159 rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + (-32 + 18 + 35 - 10).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 7*d**5\/10 + 16253*d**4\/10 + 23199*d**3\/5 + 20873*d**2\/5 + 1855*d\/2 - 2319\/10 = 0.\nAnswer: -2319, -1, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1210 - -1213. Solve -j*z + 4*z - 4 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7515?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/1240 and -13\/54.\nAnswer: 33480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(243))**2 + 3 - 1*sqrt(243)*-2) + 6*((sqrt(243) - (sqrt(243) + (sqrt(243) + 2 - sqrt(243)) + -4))**2 + 3).\nAnswer: -36*sqrt(3) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 12) in base 13?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(24\/15)*5360\/(-8375))\/(8\/(-260)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.16 + -0.2. Let t = 15.9 - 20.9. Which is the closest to -1? (a) t (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -153 + 152.5. Which is the closest to 1? (a) -1 (b) t (c) -86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 571166 is divided by 238.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -8*v - 9. List the prime factors of l(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -16*b + 116. Calculate the remainder when 76 is divided by d(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 1783207*a. Let s(y) = -9*y**2. Determine s(d(k)).\nAnswer: -28618444843641*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2*(-2)\/(6*4).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2261 = 3*q - 3*s, 3*q - 2233 = -2*s. Suppose -5*i + z + q = 0, 5*i - 5*z - 735 = -10*z. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -291.21856 - -2780833.41856. Let l = -2780456.199772 + c. Let o = 86 - l. What is o rounded to five decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8\/7 (b) -26983 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 6. Suppose 0 = 3*u - z*i - i + 7, -5*u + i = 9. Let p be (-6)\/8 + u + 2. Sort 3, 0.2, p in ascending order.\nAnswer: 0.2, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 91 and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/48689 in 18\/7, -1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3443 divide 2395220366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*z + 4581 = 3361 + 2650 for z.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44412803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/6*((-132)\/42)\/11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**6\/90 - a**5\/20 - 5*a**4\/24 - a**3\/2 - a. Let s(q) be the second derivative of n(q). Is s(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124 + 142*i - 171*i - 124.\nAnswer: -29*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (14 - 6)*(-5)\/(10\/(-3)). Let a be (3 + 4\/c)*(-6)\/(-4). Solve -4*s - s + a = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8*((-10)\/(-4))\/5. Suppose -2*i - 14 = -h*i. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 7*w**5\/60 - w**4\/24 + w**3\/6 - 7*w**2. Let l = -5 - -7. Is 9 a factor of a(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 713960555 to the nearest integer?\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 301722816 and 14240.\nAnswer: 1508614080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5320 - -5350. Solve 4*x - i + 27 = -g, 5*g = 5*x + 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-42)\/(-35)*30\/(-4) + (-3)\/(-1). Let g(v) = v**3 + 7*v**2 + 2*v - 16. Determine g(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 6. Solve -8 = 5*h - 4*w - 3, -k*h = w - 14 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -657*q**2. Let g(c) = -2*c. What is g(m(b))?\nAnswer: 1314*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2592 divided by 864\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -15*n**2. Let o(v) = 7*v**2. Let m(x) = -2*x**2 + 11*x - 6. Let i be m(4). Give i*u(h) + 13*o(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*u = -u + 7, -3*u = -3*p - 3. Suppose 24 = -p*w + 6*w. Calculate the lowest common multiple of 18 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.93806 litres in millilitres?\nAnswer: 74938.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 8*k + 8. Let y be m(6). Suppose y = -3*v + 3*a + 2*a, -5*v - a = -4. Let l(s) = s**3 + s**2 - s + 3. Give l(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 5276.3.\nAnswer: 31657.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 2 + 12 - (10 + -4 + -9).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of 199*d**5\/10 - d**4\/6 + 1357*d**3\/3 - 4601*d. What is the second derivative of z(m) wrt m?\nAnswer: 2388*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (1 - 2 - 3) - 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11928 - 11928 + 3*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/100 and 69\/8360.\nAnswer: 41800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 148 and 2183?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416 is divided by 133?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d**3 - 13 + 13 + (-2*d**3 + d**2 - d**2)*(1 - 1 - 33).\nAnswer: 61*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*g + 106164. Suppose 4568 - g = -5*f. Let r = f + -3664. Round r to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1176693, 1176684, 1176673, 1176660, 1176645, 1176628, 1176609?\nAnswer: 1176588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 14*i**2 + 2*i + 4. Let m be j(-14). Is 20\/m*-237*(-8)\/(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*o**2 + 2*o + 87*o**2 - 207*o**2 as r*o + g*o**2 + b and give g.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -8*l**2 + l + 1. Let p(f) = 23*f**2 - 3*f - 3. Let o(z) = 6*p(z) + 17*t(z). Calculate o(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*z - 14 = 0, -3*p + z = 2*p - 23. Solve 0 = 3*m + 2*m + 2*n + 3, -3*n = -p*m - 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (0 - 1)) + -3 + (-1879 - -1838)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -k**2\/2 - 5*k + 8. Let b be c(-5). Let a(q) = -q**3 - q**2 + 44. What are the prime factors of a(b)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35\/12 + -8\/3. Let i(p) = -p - 6. Let s be i(-11). Suppose s*u - 7*u = -10. Which is the smallest value? (a) u (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10101101011000011 (base 2) to base 14\nAnswer: 244cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -13 + 22 + -32\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 28*p. Let s = 187 + -185. Let v(f) = 21*f**s + 25*f**2 - 47*f**2. What is r(v(b))?\nAnswer: -28*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*k**3 - 9*k**3 + 4*k**3 - 3457*k**4 + 2151*k**2 + 183 - 184 wrt k?\nAnswer: -82968*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9470*d + 4749*d + 4510*d.\nAnswer: -211*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggiiggggigi. Give prob of sequence igg.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1390 is divided by 1354.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -48, -4, 1, -555 in ascending order.\nAnswer: -555, -48, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4063480 divided by 1130?\nAnswer: 3596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (13 - 6) + -4 - (0 + -3). Let l be d\/(-2)*(-2)\/(-12)*-8. Suppose 0 = -2*h + l*y + 152, 138 + 156 = 4*h - 3*y. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -501, -2\/9, 4, -3, -0.6, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 - 161865*m**2 + 1942920*m - 5829300.\nAnswer: -5*(m - 6)**2*(m + 32385)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q**3 + 18741*q**2 - 18741*q**2 - 47 + 3*q as g*q**3 + j*q + x + k*q**2 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(-10)*o)\/o*(o**(-1\/23)*o*o)\/o assuming o is positive.\nAnswer: o**(298\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -14. Suppose m = -v + 28 - 16. Put -5, 2, v in descending order.\nAnswer: v, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(-5)*m*m**5)\/((m*m\/(m*m**(3\/4)))\/(m**(2\/9)\/m)))**(-45) assuming m is positive.\nAnswer: m**(-2155\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36.99 - -44. Let l = 1539.88 - 1544. Let x = w + l. Round x to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**5 + 2*d**4 - 18*d**3 - 10*d**2 + 32*d + 24 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3671 is divided by 269?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 423 and 813789.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/30 or 49.98?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*r - 2466 = 868, 2*r = 3*d - 5031. What is the remainder when d is divided by 555?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 x when two letters picked without replacement from ttxx.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, -184.1, 9, 2\/781?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -6?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/22)\/(13\/(390\/(-80)))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, s: 10, f: 9}. Give prob of picking 4 s.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -2\/3*o**3 + 0*o + 5*o**2 + 0 + 1\/12*o**4 + 1\/30*o**5. Is 19 a factor of i(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4228 - -6530. Suppose 5*s + 2*o = 3826, 3*s + 6*o - j = 8*o. What are the prime factors of s?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 296*j - 4723. What is f(16)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9078985 millilitres in litres?\nAnswer: 0.0009078985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3270?\nAnswer: 2, 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3028 in 3, 0.05, 0.2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -86436933 rounded to the nearest 1000000?\nAnswer: -86000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1431320 and 627440?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24\/(-9)*6\/(-4) and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11527, -11555, -11591, -11629, -11663?\n\"Answer: f**3 - 10*f**2 - 5*f - 11513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*h + 5*h - 4*z, 28 = -3*h + 4*z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 495120 to the power of 1\/2, to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 88\/5 of a litre?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*f - 35 + 2. Suppose 0*w + 0*w - f*w = 0. Solve w*j = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + 2*l**2 - 8*l**2)*(113 - 412 + 153)*(-2*l + l - l).\nAnswer: -1752*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4292 = -589*u + 591*u + 100*f, -5*f + 227 = -3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*c - 132*c + 234*c = 385 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -3*p, 2*p + 298 = 2*j - 5*j + 7*p + 272 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -3) + 220\/(-70). Let r = 1803 + -1799. What is the nearest to 0.2 in j, r, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*n*r**2*w + 598*n*r*w + 3*n*r - 2*r**2*w - 3*r*w - 1174 with respect to n.\nAnswer: 5*r**2*w + 598*r*w + 3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 2*w**2 + w - 10. Let q be s(3). Determine x, given that 0 - x + 1\/2*x**q = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.83 * -0.29815\nAnswer: -0.2474645","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/(-39) - ((-1492)\/(-1353) - (-2)\/11).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -1874\nAnswer: 1\/1874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + 4*y - 56. Let s(r) = r**3 - 2*r**2 - 2*r + 4. Let x be s(3). List the prime factors of 19\/x - (-4)\/y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 19. Find the second derivative of -16*d**2 + 7*d**b - d - 4*d**2 wrt d.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7\/(-3))\/(3\/(-9)). Suppose g - 5*u + v = -7, -4*u = g - 13. Let h = -12 + 22. What is the lowest common multiple of g and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z - 13425 = 0. Suppose 0 = 3*d - 50675 + z. What is d rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*j - 10 = 0. Suppose -3*m + 261 = -j*m. Suppose 344 = 5*n - m. What is the greatest common divisor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 1. Let k = 117 - 117. Suppose 10 = i - k*i + s*b, -5*b + 30 = 3*i. Solve 2*l = -5*q + 26, -i = -4*l + 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j = -13 - 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -1393*j + 1396*j - 2*y, -4*j = -3*y - 54. Suppose -d = -9 - 1. Solve j*c = c - d for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2486*z**2 - z - 77. Is b(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23184272.\nAnswer: 2, 1449017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1321804?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 626 divided by 124\nAnswer: 313\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -559840 (base 15) to base 4.\nAnswer: -33210220323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 4\/(-6))*4\/20.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/945 and -46\/3?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2010*2491.\nAnswer: -5006910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-9) + (-92)\/6. Let a = -16 - d. What is the biggest value in a, 2, -3\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-990)*36*-1.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 35*q - 140, 5*k = 26*q - 28*q - 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215 bigger than 1211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.407711 grams in micrograms?\nAnswer: 1407711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + u**2 + 3*u**2)*(-74665 + 31266 + 36902).\nAnswer: -12994*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**2 + 0*r**5 + 0*r - 1\/6*r**3 - 1\/40*r**6 + 0*r**4 + 0. Differentiate j(s) with respect to s.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2410*k**4*s - 2*k**2*s + 103*k - 1376170*s wrt k.\nAnswer: 9640*k**3*s - 4*k*s + 103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1\/2))**5*l**(-3\/7)\/(l*l**(4\/9)*l) assuming l is positive.\nAnswer: l**(583\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 223 divide 3449141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + (sqrt(76) - (0 + sqrt(76) + -1)) + -4)**2*-1.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 33, 16, 4, -420, -0.5?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5573654621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2\/5 (b) 0.9 (c) -0.1 (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7.285124 decades?\nAnswer: 0.7285124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrbbbmbbrr. Give prob of picking 2 r and 2 b.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-6*(-6*sqrt(136)*1 - 1*sqrt(136)*-4)\/(sqrt(288) + 2*sqrt(288)*-1).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - ((-18 - 0) + 40) - (1 - 11).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 197902832 to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1115 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: Evaluate 6*120\/96*(-30)\/25.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 - 26*f + 91. Calculate p(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44 by 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -521, -471, -421, -371, -321?\n\"Answer: 50*o - 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 + 58 - (-1 + -18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/185196 and 133\/109434.\nAnswer: 2407548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 0, 2*m - 258 = -0*m - 4*p. Suppose 2*q = -q + m. Let d = q + -26. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 100101101?\nAnswer: -100101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5330291627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a230b - -4?\nAnswer: -5a2307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1300))**2 + sqrt(1300) - (1*sqrt(13)*-2)**2.\nAnswer: 10*sqrt(13) + 5148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 150 - 104. Let m = 0.089467656 + -46.089486656. Let i = m + u. Round i to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 456\/(-209) - 9434\/(-583).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -438, -3589, -12176, -28923, -56554?\n\"Answer: -454*k**3 + 6*k**2 + 9*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/((-18)\/21))\/((-52)\/(-156)). Solve 0 = -b*j - 48 + 13 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 4*k - 7*k - 18, -2*l = -2*k + 8. Let t = -0.2 + 0.3. What is the closest to t in -1, l, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 12:17 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 1565*b - 1563*b - 10, 4*f = -2*b + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.5847l in millilitres?\nAnswer: 43584.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from evtvejljeejveevel. What is prob of picking 2 e?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 3*v**3\/2 - 5*v**2\/2 + 4*v + 7. Let c(y) be the first derivative of h(y). List the prime factors of c(3).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0 = -5. Let v(c) = 5*c**2 + 5*c - 3. Let k(p) = -p**2 - p + 1. Determine z*v(b) - 3*k(b).\nAnswer: -2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/10 + -1)\/((-19)\/(-95)). Let k be -538*(4 + -1) - (2 + q). Let t = -62942\/39 - k. Is -1 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 24*n - 12. Let h(o) = -271 - 263 + 533 + 4*o. Let s(d) = -12*h(d) + u(d). Let l(r) = 6*r. Give s(l(w)).\nAnswer: -144*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.06 and 337054757.\nAnswer: 337054757.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**2 + 1577*w + 1236965. Give t(-431).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -11.98. Let b = 2.07 - -1.93. What is the closest to 1 in b, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9176520547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ewwewwwvggww. What is prob of picking 2 w, 1 g, and 1 v?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(2\/4) - -4. Suppose 0*y = r*y - 18. Solve -5*w + 2*b = 4*b + y, 30 = -5*w + 5*b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/9*1*((-2709)\/42)\/(-43)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 399 = 65*u - 56 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b5321b (base 12) to base 9.\nAnswer: -5317375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(25\/(225\/36)). Sort n, -1, -36.\nAnswer: -36, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**3 + 0*r**3 - r**3 - 15*r**3 - 3*r**3 + r**3 + (28*r**2 - 3*r**2 - 6*r**2)*(0*r - 2*r + 4*r).\nAnswer: 17*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 166970 to the power of 1\/2, to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 47 = -6*j. Calculate the remainder when j is divided by 29.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**4 + 2*m**3 + 9*m**2 - 10?\nAnswer: -48*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 7:53 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60312 by -4.\nAnswer: -15078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (757 - 742)*(-2)\/(-24). Let a = -0.3 - 0.2. What is the second smallest value in -7, a, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 2)\/(1\/(-2)). Let y = 0.1 - -1.9. Let i = y - 2.1. Which is the closest to i? (a) n (b) 2\/17 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-170)\/(-6) - 2\/6. Let m be (-8)\/i + 464\/7. Suppose 3*n + 160 = 5*f - 2*n, n + m = 2*f. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 21*q**2 - q. Let j be k(-1). Suppose 165861*y - 166186*y + 103675 = 0. What is the greatest common divisor of y and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47619198 by 2.\nAnswer: 23809599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 0*m - m)*(-7 + 6 - 2)*(-1 - 4 + 4)*(-2 - 1 + 0)*(1 + 3 + 2).\nAnswer: -54*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 96 - 36. Let c = p + -61. Let f = 118 + -169. Which is smaller: c or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 2884.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-4))\/((-8)\/(-32)). Let c be (137 + f\/(-1))*2671. Let y = c + -173940. What is y rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 63*d**2 - 84*d + 634. List the prime factors of u(9).\nAnswer: 17, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*k)*(-4*k**3 - 7*k**3 - k**3) + 3*k - 3*k + 3*k**4 + k**3 - 2*k**2 - 2*k**4 + 7*k - 7*k + 3*k**4 + 3*k**4 - 4*k**4.\nAnswer: 27*k**4 + k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b6d1 (base 15) to base 11.\nAnswer: -120184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 402 a factor of 2993206374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 4:45 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(3\/13)\/j))**(24\/11) assuming j is positive.\nAnswer: j**(552\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 12 = 5*n. Let t be 3\/((n + 2)\/(-1)). Suppose t*o - 63 = 3. What is the highest common factor of 55 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 7, a: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16592 greater than or equal to 23486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27.81 and 2.016?\nAnswer: 56.06496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3220408 divided by 402551\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 177748940 by -5287.\nAnswer: -33620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - -0.6. Let s be 4\/14 + 25\/(-14). Let x = 2.18 + -1.18. Which is the nearest to x? (a) s (b) 2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m - 66 = -11 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3681 + 3680.9. Sort 3, o, -246 in ascending order.\nAnswer: -246, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9, -3, -32, -6861 in increasing order.\nAnswer: -6861, -32, -9, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3*a**2 + 0*a**2 + 0 + (-3*a - 11*a - 7*a)*(-5*a + a + 2*a) to the form g*a**2 + x + h*a and give g.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 - 283 + 88 + 97 + 98.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -2*y**3\/3 + 2. Let x(w) = -24*w - 4. Let s(g) = -96*g - 15. Let v(o) = 4*s(o) - 15*x(o). Determine c(v(z)).\nAnswer: -1152*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -4 + (-1 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 - 75*j + 75*j.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1\/5, 19 in descending order.\nAnswer: 19, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 162 and 36?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**3\/6 + 1289*r. Let f(j) = -623*j. Calculate f(d(x)).\nAnswer: 623*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*((-2)\/6 - 0). Suppose 2*t - 8 = -q*t. Let p = 5 - t. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*6\/(-255))\/((-6)\/(-15))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11797 + -11791. Solve 0 = -f*z - 16*z - 66 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -139 - -301. Calculate the greatest common factor of v and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 343*c = -342*c - 3, 5*h - 2*h + 7*c = 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4235\/6 - -93053\/132. Find the common denominator of 7\/120 and v.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 5. Which is the smallest value? (a) f (b) 0 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597993 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in -1\/54, 1, -1\/6, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 4 - 1. Let d = -2 + s. Let q be d\/4*1\/(-3). Which is the biggest value? (a) q (b) -3\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*(1 - -1) + -6 + 373 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.04347517 rounded to one decimal place?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47*n*u**3 - 1074*n*u - 10*u**2 + 5*u wrt u?\nAnswer: -282*n*u - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9*((-2)\/(-9))\/((-1)\/(-6)). Suppose -l*s = -15*s - 195. Calculate the lowest common multiple of 63 and ((-12)\/1)\/(26\/s).\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-8))\/((-1)\/(-2)). Which is greater: j or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*n**2\/5 + 36463784*n\/5 + 6783711957136\/5.\nAnswer: (7*n + 2604556)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -2*x**6\/15 - x**5\/5 + 13*x**4\/3 + 50*x**3\/3 + 24*x**2 - 96*x. Factor s(m).\nAnswer: -4*(m - 4)*(m + 1)**2*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/15 + (-5)\/(-3). Put 0.4, t, 2 in decreasing order.\nAnswer: 2, t, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 47 - 19*r**2 + 5 + 33 + 64*r**2.\nAnswer: 45*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five eighths of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -456*c - 3\/4*c**4 - 69\/4*c**3 - 480 - 279\/2*c**2 = 0.\nAnswer: -8, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, u: 3}. What is prob of picking 1 u and 1 b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - -1) + 19 + 3 + -6\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/10 + (-1128)\/(-60) is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33120 and 22804960?\nAnswer: 3680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -137, -295, -521, -821?\nAnswer: -1201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 b when two letters picked without replacement from bbgggb?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 92244809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3\/5 - 100331118*u**2\/5 + 40132449*u - 100331124\/5.\nAnswer: -3*(u - 1)**2*(u + 33443708)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*m = -43, -11 - 8 = -y - 5*m. Let s = -9 + y. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 470450*m**2\/9 + 124160*m\/9 + 8192\/9.\nAnswer: 2*(485*m + 64)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-138)\/8 + 17 + 2\/(-56)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34\/16221 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2335 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 34\/5 of a decade?\nAnswer: 816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 + 2*v + v - v + v + (v + 2*v - 5*v)*(-3 - 4 + 5) - 2*v + 4*v - v + 0 + 1 - 107*v + 56*v in the form p + u*v and give u.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 1)*(-68)\/(-8). Let o = q - -20. Let r be 298*o\/(-6) + -1. What is r rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1\/6, -14, -5\/2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 23054, -4, 1\/10 in descending order.\nAnswer: 23054, 1\/10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**3 - 16*f**2 + 41*f - 26 = 0 for f.\nAnswer: 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 340220 (base 6) to base 8\nAnswer: 67664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1139 * -87.7\nAnswer: 99890.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + 137. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -107736\/7*d - 2\/7*d**3 - 804\/7*d**2 - 4812208\/7 = 0?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2506, 4 in decreasing order.\nAnswer: 4, 1, -2506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 2\/6203, -103.2 in decreasing order.\nAnswer: 2\/6203, -14, -103.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 + -46. Let d be (85 + -1)*(-3)\/(-4). Calculate the highest common divisor of d and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240369013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -441021, -441030, -441039, -441048, -441057, -441066?\nAnswer: -441075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jhha when four letters picked without replacement from ahzhghghj?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14093 + 0.9548647458.\nAnswer: -14092.0451352542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-162)\/(3 + -5 - 0). Sort 4, -2\/5, -4, l.\nAnswer: -4, -2\/5, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 11*t**2 - 8*t - 19. List the prime factors of u(-11).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-29177.3\nAnswer: -116709.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -276, -276, -278, -282, -288, -296, -306?\n\"Answer: -s**2 + 3*s - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39112a (base 11) to base 15.\nAnswer: -c298b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 116819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*d**3 - 203*d + 203*d.\nAnswer: 102*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**7\/14 - c**3\/2 + 19*c. Find the second derivative of u(d) wrt d.\nAnswer: 60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/2)\/(2\/20). Let s be (-16)\/i*(-55)\/(-22). Let o = s - 4. Solve 0 = -w - 3*a + 5, -o*a - 5 = -4*w - 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2309613 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3814 = -4*y - 8004, 11824 = 5*n - 2*y. What is the greatest common divisor of n and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 33356 + 8?\nAnswer: 33363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**7\/350 - 19*s**6\/200 - 16*s**5\/25 - 3*s**4\/2 + 672*s**2. Factor g(m).\nAnswer: -3*m*(m + 2)**2*(m + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -1529 minus -5?\nAnswer: -1524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/46641627 and -145\/98556.\nAnswer: 186566508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/2352 and -25\/671496?\nAnswer: 1342992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7887 = -7*q + 4*q. Let w = q + 4592. Suppose -4*z - 316 = 5*x - w, 4*x = -4*z + 1320. What is the remainder when x is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1341347 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of u**7\/70 + u**6\/25 - u**4\/10 - u**3\/10 - 30*u - 11. Let j(n) be the first derivative of d(n). Factor j(y).\nAnswer: 3*y*(y - 1)*(y + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -3) + (-6 - -13 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2113, 1\/4, -2, 0, -5 in descending order.\nAnswer: 2113, 1\/4, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - y + 5 = -37, -k = 3*y - 26. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439 = -68*x + 7 - 656 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32 - -13) + 53 + 30 - (-4 + -8).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 65 and 26?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 439941988 = 77*v + 282*v + 26993981. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2337826 to the power of 1\/3, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*s + 1085 = 0, 4*s - 141 = -2*u + 293. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.465061 times 0.3\nAnswer: 0.1395183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -207 + 835\/4. Which is greater: v or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 2578*l + 1289*l + l**2 + 1289*l.\nAnswer: l**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 1950 = -5*a, 5*z - 442 - 2016 = -4*a. Let n(b) = -b**2 - 8*b + 1. Let o be n(-7). Find the common denominator of (-2)\/o + z\/(-28) and -21\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1729322 and 1212?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 740 divided by 6?\nAnswer: 370\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/13 (b) 1 (c) -5 (d) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -309*v - 306*v - v**2 + 616*v. Let t(r) = 12*r + 2. Calculate t(z(p)).\nAnswer: -12*p**2 + 12*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2136 and 20.\nAnswer: 10680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 1)\/(7 + -5). Suppose 5*i + 4 - 39 = c. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/3, 1\/6, -0.05, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -0 + 164. Suppose 29 = 2*z - t. Does 10 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 3*s - m, 0*m = -2*s + 2*m + 52. Suppose 5*p + 3 - 23 = 0. Let o be (5\/(-2))\/((-2)\/p). Solve -r - 21 = 4*r + 2*z, 3*r = -o*z - s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 9, x: 2}. Give prob of picking 2 f.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*w**2 + 5*w + 564 wrt w?\nAnswer: -22*w + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w + 61. Let s be o(19). Solve s*a + 3 = 23 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6688\/2090*5\/(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (-5 + -43) - -11.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20 + (-12 - (-4 - -4)). Solve k = 5*i - 17 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 2 (b) -5 (c) -7419\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -11 + -10 - -27.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -133875*d**3*x**3 - 7*d**2*x**3 - 6*x**3 - 19291*x - 26 wrt d.\nAnswer: -401625*d**2*x**3 - 14*d*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 8:15 AM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 39*2*22\/(-18)*7. Let g = k + 661. Which is smaller: -6 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 8*l = -4*l. Suppose -2*y + 3*r + 16 = 0, -4*y - 4*r = -l*y + 8. Suppose 12 = v + 2*k + y*k, 0 = k - 2. Solve 10 + 6 = v*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1 - 1) + 3)*4. Let o(q) = -j - 2*q + 3*q - 2. Let p = -153 - -159. Determine o(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011373 (base 9) to base 13.\nAnswer: -15b478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 360\/113?\nAnswer: 360\/113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -979*r**3\/6 - 792*r**2 + 599*r - 2. Find the first derivative of j(w) wrt w.\nAnswer: -979","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + f - 3*f)*(-4*f - 5*f + 4*f + (0 + 7 + 1)*(-2 - 1 + 1)*(2*f - 2*f + f)).\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 60\/2 + 5*22\/10. Solve -25 = s*z + 16 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 86, 114?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88 (base 13) to base 12.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**3 - 11*d - 2 - 38*d**2 + 38*d**2 to m*d**2 + s*d**3 + p + h*d and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = 20*r - 50. Suppose 2*m - 219 = r*q, 5*q = -2*m + 7*q + 234. List the prime factors of m.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - 26. Suppose t + 8 - 11 = x. Let r = 129 + -100. What is the remainder when r is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -98031*h**3*k**5 + 3*h**3*k + 25*h**3 + 83*k wrt k?\nAnswer: -1960620*h**3*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-54) + (-40)\/(-144)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -36. Let k be 69\/t - 2\/7. Suppose -k*l = -2*c - 695, c - 5*c - 16 = 0. What are the prime factors of l?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (v**2 + 3*v**2 - 3*v**2)*(6*v - 5*v + 0*v - 35)*(-1 - 1 + 4) in the form r*v**3 + k*v + h*v**2 + m and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25.3 - 0.3. Let o = 24 - q. What is the closest to 2 in -2\/3, o, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, g: 5, o: 5}. What is prob of picking 1 g, 2 a, and 1 o?\nAnswer: 5\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5500581245 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 5, -73, -2\/9, 12, -5\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108 and 60.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56966290, 113932578, 170898866?\nAnswer: 227865154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -213, -848, -1907, -3390, -5297?\nAnswer: -7628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 4*o**2 - 4*o - 1. Let x be t(5). What is the units digit of (-1)\/x*59*-4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**2 - 30150*f + 0*f**2 + 12492*f + 2*f**2 + 2*f**2.\nAnswer: -2*f**2 - 17658*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llwllllwwlllww. What is prob of picking 2 w and 1 l?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1\/10 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 k when four letters picked without replacement from cjcsccacjskcjasejes?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) 41 (c) -0.01 (d) 14 (e) -1\/7 (f) -1 (g) 446\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 7 - -30 - (-10 + 78).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 6. Let d = 14 - p. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.2 + 0.8. Let w = -51185\/2 - -25592. Sort s, 5, w, 0 in decreasing order.\nAnswer: 5, s, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 2*r**2 + 4 - 3*r**3 - 4*r + 4*r**3. Let f(b) = -b**3 + 4*b**2 + 5*b. What is the least common multiple of f(4) and k(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.565374 millilitres to litres.\nAnswer: 0.006565374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + sqrt(175)) - (sqrt(175)*-1 + sqrt(175))*-1)**2.\nAnswer: -40*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 1752?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-580)\/(-8)*14\/35. Solve -6 = -7*g + x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/3597 and 151\/66.\nAnswer: 7194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k + 4 + k - 7*k + k**2 + 0. Let x be g(10). Solve 3*u - 4*y - 14 = 0, x*y + 18 = u - 0*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -818.9 to the nearest ten.\nAnswer: -820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 283, 1 in descending order.\nAnswer: 283, 1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-2 + (-7 - -15) - (-8 - -12))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -263\/45 + 58\/9. Let d = -9.88 + -1.12. Let n = d - -13. Sort x, n, -2.\nAnswer: -2, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - -136. What are the prime factors of (10\/(-8))\/((b\/3948)\/(-23))?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -73*w**5\/5 + 55*w + 96. Differentiate n(k) with respect to k.\nAnswer: -292*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -405657365*y - 53229200 wrt y?\nAnswer: -405657365","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 103929849 to the power of 1\/3, to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w + 10. Give r(7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 4*j**2. Suppose -4*s + 3*a - 1 = 9, 4*s + 3*a = -22. Let g be y(s). Let n(t) = -3*t + 1. What is the units digit of n(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*q = 0. Find the common denominator of -63\/10 and ((-231)\/(-12))\/(-2 + q).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0272511052 and 0.04.\nAnswer: 0.0672511052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2) + 2*(-62)\/8. Let a(w) = w**2 + 13*w - 27. Let k be a(t). Solve s - k = 4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 549431\/20 + -27467. Let b be (-87621)\/(-56)*154\/40. Let g = -6024 + b. Calculate the common denominator of c and g.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 148 - 241. Let k = l + 331. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 194\/(-250))*(-30)\/(-12). Let q = l - -1\/25. Factor -6\/5*n + 6\/5*n**3 + 3\/5*n**2 - q.\nAnswer: 3*(n - 1)*(n + 1)*(2*n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -90 + 32. Let c = -37 - k. Solve -2*q - 13 = -3*t, -q + c = 5*t - 4*q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, i: 1, g: 2, j: 1, u: 1, c: 2}. Give prob of picking 1 g and 1 i.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 6*g - 6. Let d be (2 - 0)*(-2 + 15\/10). Let v be 81 + -1 + 6\/(3\/d). Suppose -r - 82 = -v. Determine s(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/((r\/r**(-34\/5))\/r)*r**29 assuming r is positive.\nAnswer: r**(116\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 0 + 0*y - 1\/315*y**7 - 1\/18*y**5 - 1\/45*y**6 - 1\/18*y**4 + 152*y**2 + 0*y**3. Determine a, given that s(a) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156, 199, 240, 279, 316, 351?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from plpllplpplppll. Give prob of picking 3 p and 1 l.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 631547?\nAnswer: 7, 83, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/4 and -109\/4056.\nAnswer: 4056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2640 divided by 10.\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 9. Let o(q) = -3*q - 1. Suppose -6*m - 8880 = -8874. Let l(r) = -r - 1. Give i*l(k) + m*o(k).\nAnswer: -k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -273 - -557. What is the remainder when a is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 12:50 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1606339583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -385 - -662. Let s = 276.9 - m. Which is the closest to s? (a) 5 (b) -3\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-42952)\/(-4) - 0\/((-6)\/2). Let u = -6047 + l. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111615 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-196)\/(-126) + (372\/(-36) - -9)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in -24, -5, -7\/3, 5, -2?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*y**3 - 41*y**3 + 22*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -332 + 332. Solve z = g + i, 0 = -3*i + 5*i - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1491)\/355)\/(18\/(-255))*-2)\/(-1).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -26de - -1944?\nAnswer: -c9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a gram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -68*s + 74*s. Suppose 2 = -l, s*l - 6*l - 2 = -g. Solve -g*a - a - 25 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.12 + 0.18. Which is the nearest to -2\/9? (a) 2 (b) t (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of l**5\/30 - 13*l**2. Let a(z) be the second derivative of z**3\/6 + z. Determine a(v(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/3255 or -19?\nAnswer: 4\/3255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 21051.667 to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from {v: 5, b: 7, r: 1}.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 0 + 9 + (-24 - (-8 - 5)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/8 - 273545*c\/4 - 74826867025\/8.\nAnswer: -(c + 273545)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.810002 grams to tonnes.\nAnswer: 0.000006810002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66320 and 65312?\nAnswer: 270718240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 78c37c + 16?\nAnswer: 78c395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of 101*u**6\/120 + u**5\/10 - 1013*u**4\/24 + 462*u**2. What is the second derivative of j(n) wrt n?\nAnswer: 606*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 a, and 2 b when four letters picked without replacement from {a: 2, t: 2, b: 4, d: 3}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most 22\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 - -31. Sort -1\/3, 5, n in ascending order.\nAnswer: -1\/3, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2 = 0, -4*h - 2*p = -0*p - 20. Let n be (h + 0)*3\/30. Are n and -16 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1383 + 23?\nAnswer: -1360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 88, -0.49978, 6?\nAnswer: -0.49978","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 10*n**3 + 3*n**2 - 4*n - 2. Let s(v) = 11*v**3 + 2*v**2 - 5*v - 2. Let b(f) = 5*s(f) - 6*u(f). Determine c, given that b(c) = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*g = 138*g + 48. Solve 0 = -g*u + 27*u + 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8 - 5)\/(9\/12) + -7. Are d and 424 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -369.72946 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/24588 and -13\/6.\nAnswer: 24588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 3. What is the remainder when 39 + (-1)\/m*0 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 + 19. Let o = 31 + i. Let j(d) = -5*d**2 + 1204*d - 926. What is the remainder when j(240) is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 12:06 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 201.\nAnswer: -603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 - 42. Suppose -2*f = -0*f - m. Solve 6 + f = -5*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60672707.\nAnswer: 523, 116009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**4 + 10424*p**3 + 10436*p**2 - 20856*p = 0.\nAnswer: -2, 0, 1, 2607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(5) + 1)**2 + (sqrt(120)\/sqrt(2))\/sqrt(12) + -3.\nAnswer: 5 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence se when two letters picked without replacement from {g: 7, p: 1, z: 4, s: 2, e: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + t**2 - t - 1. Let x be a(-1). Let s(o) = 3*o**2 - o**3 - 2 - 22*o - 22*o + 42*o. Calculate s(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 999 - 5016\/5. Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1098 - 11069\/10. Find the common denominator of 2\/4 + (-34)\/18 and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047187091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (459 - 459 - 172*h)*(-5 - 5 + 9) as j*h + g and give j.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 42005130 (base 6) in base 16?\nAnswer: 1286ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3402, -6701, -10000, -13299?\n\"Answer: -3299*t - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 12 + 3 = 0, 0 = 2*p - 4*m + 10. Suppose 0 = 5*b + 4*x - 7, 2*b + b - 4*x - 17 = 0. What is the remainder when p is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 5:09 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -113 + 201. Suppose -5*y + y + h = 0. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6931, 10175, 13419, 16663?\nAnswer: 19907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2543163 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20164321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 15*s**2 - 14*s - 4. Give h(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 5 = 0, 8*m = 2*c + 9*m - 0*m - 13 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.4 + 3.1. What is the smallest value in -3, 25, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -14*o**6\/15 + 49*o**3\/6 + 8*o**2 - 38. Let a(s) = -7*s**3 + 3. Calculate -49*a(y) + 3*l(y).\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -10. Let n be (-3)\/(-6) + 218\/l. Suppose 0*s = 5*s - n. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-19)\/(-3) - 1\/3. Put -3, g, 1 in decreasing order.\nAnswer: g, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/(-6) - 2)*3. Let z be 13\/d - (-4 + 5). Let c = 21 + z. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/(-272)*-4)\/(2\/(-12)*-2).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 11*f**2 - 2*f - 2*f - f - 4*f**2 - 4 - f**3. Let s be y(6). Suppose -s*x + 7*x = -5*a + 30, 0 = 2*x - 3*a - 7. Solve 5*l - x - 15 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a + 12 - 12)*(4 - 1 + 0 + (0 - 1 - 3 + (-5 + 3 + 3)*(2 - 2 - 3) + 0 + 3 - 2)*(0 + 1 - 3)).\nAnswer: -90*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a4a - -28d?\nAnswer: cd9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-0.146\nAnswer: 0.0438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkckckk. What is prob of sequence kkk?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 36 - (-5 + (1 - -5)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffkk when four letters picked without replacement from {f: 4, z: 7, k: 2}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, a: 2, e: 4}. What is prob of picking 2 a?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5\/3, 2\/11, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - z + 23137, -1243 = -r - z + 3382. Let c = r + -2863. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 74?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 3*t + 75 = 0. Let x be 4 + (9\/(-3) - 1). Suppose h + x*h - 41 = -b, -b - 2 = 0. What is the remainder when h is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 635644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 4. Suppose i + 4 = z*i. Let d = 2 + i. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - -6 - (-10 - (5 - 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((-1 + sqrt(72))*-3 - sqrt(72)) + sqrt(72))**2.\nAnswer: 36*sqrt(2) + 649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-8) - (-10 - (-81)\/4)\/(36\/(-360))?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*g + 8*g = 2108 - 502 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3 + (-4 + sqrt(125) + 1 + sqrt(125) + -1 - ((sqrt(125) - (sqrt(125)*-2 + sqrt(125))) + -2)*6))**2.\nAnswer: -1100*sqrt(5) + 12625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2736)*2 + sqrt(19) + 3*sqrt(475) + sqrt(475) + 3)**2.\nAnswer: -18*sqrt(19) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3628 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 5*z - 1, -z - 4*z + 17 = 4*g. Suppose 4*r - g*r = -58464. List the prime factors of (16\/(-6) + 2)*r\/(-48).\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**3 + 9*w**2 + 17*w + 3. What is h(-5)?\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 27 = 2*h. Let u(d) = d + 29. Let q be u(h). Suppose 5*i - 40 = -2*g, 4*i + i = 5*g + q. Solve 0 = -y + 3*y + i for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-72231)\/(-714) + 639\/126 + -5. Which is smaller: b or 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of t**4\/12 - t**2. Let k be v(-1). Let b(a) be the first derivative of a**4\/4 + a**3 + 2*a**2 + 3*a + 1146. What is b(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 16*w. Let s(h) = -4*h - 4. Let d(o) = -24*o - 21. Let i(m) = -4*d(m) + 21*s(m). Give i(v(a)).\nAnswer: 192*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, s: 1, n: 10}. What is prob of sequence qs?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -5. Let j = 141.2 + -120. Let f = j + -4.2. Which is the second smallest value? (a) f (b) -1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 13*l**3 + 34.\nAnswer: 13*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4*(sqrt(242) + 0) + 0 + sqrt(242) + -2))**2 + ((sqrt(242) - (sqrt(242) - (1 + sqrt(242)))) + 5 - (-5 + sqrt(242)*1))**2 + -3.\nAnswer: -3520*sqrt(2) + 96982","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-15)\/195 + 224\/(-1482) and -61\/24.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2448\/(-96) - -21)*4\/3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 4*v + v + v + v - v + 3 - 3 - v + 0 - v + 0 + (-2 + 6 - 3)*(-v + 3*v + 0*v) + 4 + 2*v - 4 + 0 + 2*v + 0)*(-12*v**3 + 23*v**3 + 18*v**3).\nAnswer: 116*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -1. Suppose d - 3*o = -10, 0*d - 3*d = h*o - 18. Suppose -j = -5*t - d, -j - 3*t = 2*t - 22. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7591, 0.1, -3\/2, -3, 1\/7 in increasing order.\nAnswer: -7591, -3, -3\/2, 0.1, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (1 - (0 - 0))) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -251*a + 754. Give q(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3007798.\nAnswer: 2, 1503899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(3\/13)*i**3 assuming i is positive.\nAnswer: i**(42\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1976506 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 66\/11 + (-1 - (1 + 0)). Suppose 3*z + z + 3*u - 22 = 0, -3*z + 4*u = -i. What is the greatest common divisor of z and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/736 and -61\/144.\nAnswer: 6624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 0*c + 1\/60*c**5 - 1\/3*c**3 + 0*c**4 - 4*c**2 + 0. What is the first derivative of q(y) wrt y?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 179778645?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 189 or 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 120\/17 + -4937\/697. Let j = -37\/164 + x. What is the smallest value in j, 2\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(-2 - 1 + 6)*(d**3 + d**3 - d**3) + (4*d + 20 - 18 + 10)*(d**2 - 2*d**2 + 3*d**2).\nAnswer: 11*d**3 + 24*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, o: 5, e: 3, i: 6, k: 1, y: 4}. Give prob of sequence ihiy.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 1 - (-878 - -898).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 2 = 18 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 16. Let b be k\/(-30) + (1 - 2\/(-15)). Let c be ((-12)\/10)\/((-12)\/80). Solve -b = -3*a + c for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -1346?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000236450511 to seven decimal places.\nAnswer: -0.0000236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 180866863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -r**3\/6 - 4*r**2 + 3*r - 12. Let g(x) be the first derivative of i(x). Differentiate g(m) wrt m.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 27 = 5*d - 0*w, 5*w = -2*d - 9. Sort d, -5, -2 in descending order.\nAnswer: d, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3930 - -6559. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 2\/15, 3\/35, -1.3, 23\/6, -0.88?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 - 5801 + 5784 + 12*k**2 - 2*k**3 to y + z*k**3 + m*k + r*k**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a - 23 - 29 - 26 + 64.\nAnswer: -2*a - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6823492 divided by 262442.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3644.75 milligrams in nanograms?\nAnswer: 3644750000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 5*l - 33, -4*l + 75 = 18*n + 127 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1270\/627 + -1913\/1254. What is b in 3\/2*b + 2 - z*b**2 = 0?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 8*m**2 - 17*m - 28. Let w be p(10). Suppose 0 = -w*g - 126 + 138. Solve -4*d + g = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*q + 8 - 8)*(-2 + 3 + 0) - 3*q + 2 - 2)*(0*q**2 - 8*q**2 - 7*q**2) to x*q + z*q**2 + g*q**3 + a and give g.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6498728\/493 - -13182. Let p be 4\/(-16) - 1\/(-4). Which is smaller: p or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*r + 44*r - 18 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 + 11)*(-6 - -9). Solve 0 = t - x + 7 - 0, 0 = 4*x - g for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -88 - -111. Suppose 4*w - q = 124, x*w - 19*w - 132 = -q. Solve -36*k + w*k = -12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 8709150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v + 17*v = 455. What is the highest common divisor of 403 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - 63\/(-15) - 3\/15. Suppose -25 = -2*g + 5*j, g - s*g = -j - 31. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 24 - 31 - (-30)\/7.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1705 + 1181. Let d = q - -8375\/16. Calculate the common denominator of d and 1 - (393\/10)\/3.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -7*l**3 - 20*l**2 - 4*l + 4. Let g(a) = -a**3 - a**2 - a + 1. What is 4*g(k) - x(k)?\nAnswer: 3*k**3 + 16*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -10*x**6\/3 + 91*x**4\/4 - 12473*x**2\/2 - 5969. Find the second derivative of k(l) wrt l.\nAnswer: -400*l**3 + 546*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -45*v**2 + 979*v - 1. Let a(f) = 717*f. Give a(l(y)).\nAnswer: -32265*y**2 + 701943*y - 717","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 19*o**4\/4 - 6*o**3 - 24. What is the third derivative of k(d) wrt d?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19536 = -3*b + 6*k - k, -4*k = -4*b + 26056. Is b a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6*c. Let h(x) = -3*x**2 - 12*x**2 + 14*x**2. Calculate h(i(j)).\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q**2 - q + 5055. Let x(d) = -6*d. Determine x(b(v)).\nAnswer: -30*v**2 + 6*v - 30330","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**5\/20 - 11*q**2 + 1. Let r(u) = 34*u. Determine b(r(c)).\nAnswer: 3468*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 55 + (-10 - -8) - ((8 - 1) + -20 + 8)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 7*p**2 + 18*p - 12. Give x(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3284, 3284, 3282, 3278, 3272?\nAnswer: 3264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -105 or -100?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 146, 117612 in decreasing order.\nAnswer: 117612, 146, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*z + 119*z + 28*i - 40 = 0, 3*i - 31 = -2*z for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33446 and 20?\nAnswer: 334460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335527.\nAnswer: 335527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -108*v - 3802. Give y(-38).\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 93173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.05 - 0.11. Let b = l + 0.224. Round b to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -200682 - 2257*y + 200682 to w + d*y and give d.\nAnswer: -2257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.4, -2\/63?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (723\/(-5061))\/((-2)\/(-98))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61593 and 609.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/532*17902*-2. Let o = l + 471. Sort o, 0.2, -0.9 in increasing order.\nAnswer: -0.9, o, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 16*v.\nAnswer: -v*(v + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1151091?\nAnswer: 3, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73 + 155. Let x = -1209 - -1230. Calculate the remainder when a is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6841, -6903, -7085, -7447, -8049, -8951, -10213, -11895?\nAnswer: -14057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express g**4 + 28*g**2 - g**4 - 2*g - 2 + 3*g**2 - g**3 - 4*g**3 - 2*g**4 as l*g**3 + i*g**4 + n*g**2 + c + k*g and give n.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/6*28\/(-7)*12\/(-148)\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6058850086 + 6058850161.99999846. Let h = -66.5 - 9.5. Let p = d + h. What is p rounded to seven dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -16*t**3 - 7*t**2 - 27*t - 21. Let s(h) = -5*h**3 - 2*h**2 - 9*h - 7. What is -2*m(u) + 7*s(u)?\nAnswer: -3*u**3 - 9*u - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2*33\/12)\/((-4)\/16). What is the second derivative of r*z - 2*z**3 + 29*z - 58*z - 19*z**3 wrt z?\nAnswer: -126*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 - -36.94. Let n = 5530.2 + -5530.26000016. Let w = j - n. What is w rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 7276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10995 - 4800. Is 6194 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.3 + 26. Let h = o - 10.2. Which is the third smallest value? (a) h (b) -0.07 (c) 2\/9 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -27*y - 20. Let k be o(-6). Let c = 388 + k. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**5 + 5*g**4\/2 - 5*g**3 - 20*g**2 - 20*g + 25. Factor h(k).\nAnswer: 5*(k - 2)*(k + 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20857009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 435561\/(-23704)*32\/12.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 403 (b) -1158 (c) -2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1878324 divided by -21?\nAnswer: 89444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 4536*y**4 - 1548306*y**3 + 300608*y**2 + 95576*y - 19104 = 0?\nAnswer: -1\/4, 2\/9, 2388\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - x = 21511. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 0*l + 0*l. Let z(a) = -a**2 + 3*a + 6. Let m be z(4). Let g(t) = -t**2 + 2*t**2 + 2*t**2 + 3*t**m. What is g(c(j))?\nAnswer: 6*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24.68*-42.\nAnswer: 1036.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 + 3. Let z = c - 6. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32780?\nAnswer: 2, 5, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of h**7\/2240 + h**6\/1440 - h**5\/320 - h**4\/96 + 5*h**3\/3 - 29*h. Let c(t) be the second derivative of q(t). Factor c(x).\nAnswer: (x - 1)*(x + 1)*(3*x + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**4 + 537*q**3 + 32470*q**2 - 285792*q + 589024 = 0. Calculate q.\nAnswer: -466, -79, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*f = -3*n + 101917, 0 = -3*n - f + 101932. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/7)\/(48\/256*-4).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 15*a + 35. Let t be l(13). Suppose 2*d + 4*u + 12 = 6*d, -5*d - t = u. Put d, -5, 7 in ascending order.\nAnswer: -5, d, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.00800194 and -0.53.\nAnswer: 0.0042410282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 1\/5 (c) -0.091\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**3 - 8*k**2 - 28*k. Let q be w(-5). Let h be q\/12 - (-4 - 75\/(-18)). Solve 3*u - h = -13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5)\/c**(-13))**(-44)\/((c**0)**(3\/16)\/(c**0\/(c*(c**(3\/4)\/c)\/c))) assuming c is positive.\nAnswer: c**(-1407\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - z + 278. Let u be n(16). Solve -2*r = -a + u - 10, -r + 2 = -4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -0.18, 0, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1817737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventeen halves of a gram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2502663 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -66913*y + 2341959. Calculate q(35).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 236724420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -127*x - 2406. What is i(-19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = 2*r. Suppose -r*b - 8 = 3*j - 6*j, -3*b - 3 = -3*j. Does 12 divide 11\/(-33) + 356\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 1 = -3*j - 3, -j - 4 = 0. Suppose -3*f + 190 = -s*t, 189 - 44 = 2*f - 5*t. What is the remainder when 356 is divided by f?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(108) + sqrt(108)*5*-4 + sqrt(108))\/sqrt(4))\/(sqrt(6534)\/sqrt(6)*4) + 2.\nAnswer: -9*sqrt(3)\/22 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**4\/4 - 37317*c**3\/2 + 463887531*c**2\/4 + 928670862*c + 1857938988 = 0. Calculate c.\nAnswer: -4, 12443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -6*b + 1\/6*b**3 + 0 + 3*b**2. Let p be s(7). Solve 0 = 2*y - p + 3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.37 + 10.37. Is c at least -0.35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 10 + 5 + -14\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 1. Let t be k(1). Let f(l) = -l - 2*l**t + l. Let w(x) be the third derivative of x**5\/60 + 3*x**2. Calculate f(w(m)).\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, -254\/17, -135 in descending order.\nAnswer: -254\/17, -51, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 122 - 124. Let h(k) = -30*k**2 - 10*k + 4. Let a be h(14). Is g\/(-2 + a\/(-3012)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 14*w - 10*w - 8, -1 = -4*o + 3*w. Sort 2\/9, 1\/5, o in decreasing order.\nAnswer: o, 2\/9, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2531166?\nAnswer: 2, 3, 11, 38351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*t + 191657*t**2 - 191661*t**2 - 35*t**3 + 15*t + t**4 as h + r*t + o*t**3 + z*t**4 + q*t**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2646847*p**2*y**4 + 4*p**2*y**2 - 1439872*p**2 + 10 wrt y?\nAnswer: 10587388*p**2*y**3 + 8*p**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 - -70. Let l be 66\/o + 2\/3. Let v = -4\/3 + l. What is the closest to 0.1 in -1, v, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7859 - 4777. What are the prime factors of g?\nAnswer: 2, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 41 + (-26 - (-142 - -172)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 35*c - 757. Give n(50).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123, -211, -241, -183, -7, 317, 819?\nAnswer: 1529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 689088416 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*((-1*sqrt(2299)*2 - sqrt(2299)) + -5 - ((-2*sqrt(2299) + 1 - sqrt(2299)) + 2))*-4)**2.\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -954 = -3*i + 5*v, v + 0*v - 3 = 0. What is the remainder when i is divided by 320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/((-2)\/(1 - -1)). Let j be (-15)\/5*(-1)\/q. Solve -j + 5 = -4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - 1 - 1 - (9 - -30 - (447 - 472)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 19. Suppose 1641 = 4*n + 5*f, 2*n + l*f - 1229 = -n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2531616 - -211?\nAnswer: 2532130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -513 + 733. What is the remainder when t is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*q + 8*a - 10*a, 0 = 4*q - 3*a - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, p: 5, x: 10}. Give prob of picking 1 g and 1 x.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 591?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q\/(q\/q**(-1\/12)))\/q**(-14)*(q**9)**(1\/2) assuming q is positive.\nAnswer: q**(245\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r**2 + 1. Let q be h(-1). What is the third smallest value in -2, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310276883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*o**4 - 12\/7*o + 0 + 0*o**2 + 9\/7*o**3.\nAnswer: 3*o*(o - 1)*(o + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 82\/(-4) + 2\/4. Let l be 4\/m - 39\/5. What is the units digit of 2 + 4\/l*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3665*y - 7326*y + 3669*y - 4. Suppose -4*c = -2*c - 10. List the prime factors of v(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -5. Suppose -29 = -d*g + 4. Let z = g - 12. Which is smaller: z or 1\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-7) + 2\/(-7))\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.35191ml in litres?\nAnswer: 0.06335191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 40*o**2 + 19*o + 273. Let p be z(-39). Which is smaller: p or -1990?\nAnswer: -1990","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 666 and 88208.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -4 (c) -2\/11 (d) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 2*d - 7. Let s be f(3). Is s\/16 + 1066\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/32 and 7\/164.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 677 + 960 - 395 = -28*a - 970 for a.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, 2, 8 in increasing order.\nAnswer: -6, -1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 945704\/335 + -2823. Let a = n - 1331\/3015. What is the second biggest value in -1\/3, -5.6, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**2\/6 + 2128621*j\/6 - 1064311\/3 = 0.\nAnswer: -2128622, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2802 and 34558?\nAnswer: 103674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 6:17 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 2*z + 5*o = z - 4, 0 = 5*o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3041? (a) 1 (b) 0.2 (c) 8\/553\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(242)*1*1*-6 + -3*(sqrt(8)\/sqrt(4)*4 - (1 + sqrt(2))*-6))*6)**2.\nAnswer: 4478976*sqrt(2) + 24307776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 88.53436 to 1 dp.\nAnswer: 88.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.57 + 33.43. Let f = 34.5 - s. Which is the nearest to -2\/5? (a) -2 (b) -5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*x - 3151797, -2*x + 2*n - 3939744 = 3*x. Let u = x - -437950. Round u to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-two fifths of a litre in millilitres?\nAnswer: 4400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -5. Suppose -g = 5*t - 24, 0 = 2*g + t + x - 6. Is g\/1 + -5 + 16 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.529 + 2.229. Sort s, -0.2, 0, 8 in ascending order.\nAnswer: s, -0.2, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 62461 - -6?\nAnswer: 62467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 26*y**2. Let b(g) = 19*g**2. Determine i(b(k)).\nAnswer: 9386*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.6 + 5.4. Suppose -5*d - 6 = 3*v, 0 = 3*v - v + 4. What is the nearest to d in r, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2*25)\/(-5)*20 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141940, 141868, 141748, 141580?\nAnswer: 141364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 + 46.21. Let d = 0.78999961 + t. Round d to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 185 and 2516?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in -2\/3, 320, 3, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 5. Suppose 0*s + 5*j = 2*s - y, 14 = 4*s - 5*j. Put 5, s, 0.5 in descending order.\nAnswer: s, 5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwwcycywcjyjjycacw. Give prob of picking 2 c.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/3))**(-3\/17)*(m\/((m\/m**(2\/3))\/m*m*m))\/(m**(-2\/13)\/m*m)*((m**6\/m)\/(m\/(m\/((m**(-1)*m)\/m)*m)))\/(m**(-1)*m)**20 assuming m is positive.\nAnswer: m**(4444\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15785 is divided by 4852?\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)*(p*p**(1\/4)*p)\/p)**(-39)\/(((p**(-2\/7)*p)\/p)**(-35\/4)*p**(1\/4)\/(p*p*p\/p**(1\/3))) assuming p is positive.\nAnswer: p**(1111\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*m + 13479 + 7034 = 28746 - 16087 for m.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 5268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) -3 (c) 70 (d) -1 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-1*3 + sqrt(99) + sqrt(99) + sqrt(99) + -2*sqrt(99)*-3)\/(-6*(sqrt(36) + sqrt(36)*-2)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 32 = -4*n + 5*u, 4*n - 4*u = 128. Let x be 1 - n\/(4\/2). What is the common denominator of (-3)\/22*(-185)\/x and -45\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 36*i + 45. What is the tens digit of d(21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2. Let t(c) = 3*c - 2706. Calculate t(b(h)).\nAnswer: 3*h**2 - 2706","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -118 + -ddb?\nAnswer: -1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*r**2 + 521*r - 521*r.\nAnswer: 94*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 g, and 1 x when four letters picked without replacement from {p: 4, w: 3, x: 4, g: 6}.\nAnswer: 9\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*l - 192*l = -2*a - 183, -3*a - 3*l - 306 = 0. Sort -4, a, 0 in decreasing order.\nAnswer: 0, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 14 + 2 + -13 + -15.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*h = 39616, 5*h = 12 + 3. List the prime factors of y.\nAnswer: 2, 17, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7619741510 to the nearest integer?\nAnswer: 1968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 17*n - 1344 = 0. Calculate the highest common factor of n and 1288.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 12 (c) -37 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dyh when three letters picked without replacement from {y: 1, d: 1, h: 1, x: 1, e: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*l**3 + 18*l**3 + l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-69)\/(-276))\/((-3)\/192).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90 + -88. Suppose 5*t - 2*t = d*w, -5*w + 17 = t. Solve t*z + 1 + 2 = -3*c, -4*c - 2 = 2*z for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 31 = -7. Let x be (a\/3)\/(8\/12). Solve 0*u - 5*l + 30 = 5*u, x*u + 8 = 4*l for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/259 (b) -5\/19 (c) -5 (d) 0.011 (e) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 22\/(-23))*-1*-2.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 94?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + t - 10*t)*((4*t + 2*t - 4*t)*(-1 + 4 - 1) + 70*t - 9182 + 9182).\nAnswer: -444*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence grgr when four letters picked without replacement from {g: 11, r: 3}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5127091901.\nAnswer: 151, 33954251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273*x - 277*x = 0. Is 4\/253 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**3 + 2*a**3 - 4*a**3 + 0*a**3.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 6*t + 2*g = 0, -5*t = -2*g - 60. Let w(d) = 5*d**3 - 2*d**2 - 1 - 3*d - d**3 + 6*d. Calculate the remainder when w(2) is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oob when three letters picked without replacement from {o: 13, b: 6}.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2 - 7*h + 13. Let r be q(-5). Let c(v) = v**3 + 4*v**2 + 5*v + 4. What is c(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, w: 4, o: 13}. What is prob of picking 2 y and 2 o?\nAnswer: 78\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -307217 + 493390461\/1606. What is the common denominator of 91\/8 and q?\nAnswer: 6424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 64*d = 67*d + 9, -2*u + 4*d = 10 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -5 + 2*u**2 - 1\/3*u**4 + 4*u + u**3 - 3\/10*u**5. Let w(c) be the first derivative of x(c). Factor w(m).\nAnswer: -2*(m - 1)*(m + 1)*(3*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*r + 19 = x, 4*x - 5*r = -17. Let d(c) = -c**2 + 2. Let w be d(0). What is the second derivative of -x*k**w + 4*k**2 + k - k**2 wrt k?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k. Let c(f) = 7*f + 30. Let a be c(-4). Suppose -2 = -7*m - a. Suppose m = -45*h + 38*h + 7. What is u(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -328 and -261?\nAnswer: 85608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 3948?\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 5*m**2 + 5*m - 5. Let c be o(4). Let j = 1 + -1. Sort -5, c, j in increasing order.\nAnswer: -5, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - h - 14 = 8*p, 0 = -2*p - 3*h - 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 166.1 + -158. Let u = -8.4 + a. Sort u, 6, 2, 0.5.\nAnswer: u, 0.5, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x + 1 + 2*x - 3*x + 5*x + x**2. Let l(c) = 5*c**2 + 3*c + 5. Calculate 9*a(r) - 2*l(r).\nAnswer: -r**2 + 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 19*v - 196. Let g be i(13). Suppose -90 = -x + 3*x. Let d = x + g. Solve 7*u + d = 10*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400 = -64*t + 48 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 626*r**2 + 77*r**3 - 668*r**2 + 1 + 17 + 4*r - 3*r.\nAnswer: 77*r**3 - 42*r**2 + r + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 9*t**2 + t + 3. Let s be f(0). Solve m = -3*h + 11, m - 6 = -s*h + h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-7) - 24\/42. Let c(r) be the third derivative of -1\/30*r**5 + r**2 + 0*r + a*r**3 - 1\/24*r**4 + 0. What is the second derivative of c(b) wrt b?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + 23. Let c = r + -17. Suppose 0 = -3*w + s - 6*s + 85, 2*w - s = 61. What is the highest common divisor of c and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-5 + sqrt(612)*-1 - ((sqrt(612) - 2*sqrt(612)) + -5)) + -6*(0 + 2*sqrt(612) - (-1 + sqrt(612) - sqrt(612) - sqrt(612))*-3))**2.\nAnswer: 1080*sqrt(17) + 22257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*i - 55. Let j be 0 + (-1)\/((-20)\/(-16)). Which is bigger: i or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180629*o = -180611*o + 54 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u**2 + 18*u**2 - 31*u**2 + 15*u**2.\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -3.2. Let t = w - -1.8. Let i = -6\/7 - -32\/21. Put i, -5, t in increasing order.\nAnswer: -5, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101758 is divided by 319?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25.72 + 4.02. Let y = x - -35.4. What is y rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + v - 2. Let p be b(-3). Suppose p*h + 242 + 98 = 0. Let s = 135 + h. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 8 - 2 + (2 - 3 + 6)*(0 - 2 + 5))*((3*h - h - h)*(2 - 6 + 2) - 2 + h + 2 - h - h + 0*h + 2*h + 0*h + 0*h)*(-3 + 3 + 1) to r + p*h and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -o + 3, 3*u + 4*o + 36 = 0. Let j = 9 + u. Which is smaller: j or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence idi when three letters picked without replacement from diiddcdcddd.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3659 (b) 4 (c) -2\/7 (d) 3\/8 (e) 2\/3 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -4 - 0) + (3 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*u = 2*y + 2, -u = -5*y + 9. Solve h + 24 = y*q + 3*q, -5*q + 4 = 4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 2*m + m + (2 - 7 + 0)*(5*m - 2*m - m) + (3 + 2*m - 3)*(-4 + 1 + 5))*(-2 - 1 - 1).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 25*b**2 - 23*b + 66. Calculate the smallest common multiple of 100 and n(24).\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of f**3\/3 + 4*f**2 + f - 19. Give q(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*d - 15*d**2 - 28*d + d**2 + 7*d + 11*d + 1065 wrt d.\nAnswer: -28*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -4, 844, 1 in ascending order.\nAnswer: -4, -0.4, 1, 844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 1800?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h = 10*h - 2647 + 2947 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.00265 + -2.00265. What is the closest to 1 in 9, -0.4, v, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14 + 6\/3)*-18. Suppose -3*x + 0*l = -l - 92, -5*l + 33 = 2*x. Suppose -x*c - 108 = -33*c. What is the greatest common divisor of z and c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -5*h - 3. Let r(o) be the third derivative of -5*o**4\/24 - o**3\/3 + 533*o**2. Give 3*r(v) - 2*y(v).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/6 + 347*v\/3 - 120409\/6.\nAnswer: -(v - 347)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -637*a + 35 = -333*a - 297*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 648761.\nAnswer: 23, 67, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4354.7 and 18.\nAnswer: 78384.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4737 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 15 + 4*z)*(2*z + z - z + (-z - 5*z + 5*z)*(-5 + 4 - 1) + z - 3*z + 0*z).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 19*d + 59. Let r be l(-22). Let q = 55 - r. What is the remainder when q is divided by ((-1)\/(-3))\/((-1)\/(-33))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 2) + -4*1. Let p be 2*2\/(-6)*-3. Let w be (1 - 2)\/(p\/4). Sort -3, z, w.\nAnswer: z, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 - 2*w + 2. Let z be b(1). Suppose -i = -2*x - 11, 55 = 3*i + z*i + x. Suppose g - i*g = 50. Is -1 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 591 = 5*k, 0*k + 341 = -3*k - 5*g. Let a = -55 - k. Let z = 78 - a. Calculate the least common multiple of 6 and z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 1. Let t be u(-2). Let w(s) = -211*s - 842. Let r be w(-4). Suppose -5*h + 5*k - 2*k = -21, -2*h + 4*k = -14. Solve -r*j + h = -t for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-6) - -2) + (-144)\/42.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2933130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -49351802 at most as big as -49351801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s**3 + 9*s**2 - 41*s + 11. Let m(n) = 22*n**3 + 26*n**2 - 125*n + 28. Let i(u) = 4*m(u) - 14*w(u). Let i(a) = 0. What is a?\nAnswer: -21\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in 6\/11, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 7*k + 8. Let v be o(7). Suppose -3 = -s, 3*s = -5*j + v*s - 25. Which is the second biggest value? (a) 0 (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**(2\/11)*t))\/t)\/t)**(-2\/175)\/(t**(-2\/33)\/(t*t**(-11))) assuming t is positive.\nAnswer: t**(-57256\/5775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8*(855\/216 - 4)*0. Let g(i) be the second derivative of i**2 - 1\/4*i**3 + r - 1\/24*i**4 - 18*i. Suppose g(p) = 0. Calculate p.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9609*t + 4287*t - 7318*t as d + r*t and give r.\nAnswer: -12640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1671797*o*q - o + 2125*q - 301 with respect to o.\nAnswer: 1671797*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 b when three letters picked without replacement from jfkkdxxjkxdxbxk?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i - 3. Let r(y) = -22*y + 23. Let m(w) = -24*n(w) - 3*r(w). Calculate m(-2).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1deffe3 + 0?\nAnswer: -1deffe3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 11, -2306 in ascending order.\nAnswer: -2306, -5, -3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -106 - -107. Which is the second smallest value? (a) 1\/8 (b) l (c) -0.2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*z - 6 = 0, -5*r - 4*z + 5 = -2. Let k(a) = -a**3 + 20*a**2 - 4*a + 3. Let b be k(0). Let 46*c - 30*c + c**r + 16*c**2 + 3*c**b = 0. Calculate c.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 + 3*d**2 - d**3)*(14*d**2 - 33*d**2 - 254*d + 10*d**2 + 7*d**2).\nAnswer: 2*d**5 + 254*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0008 - 0.2008. Which is the nearest to q? (a) -3\/4 (b) 0.3 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j**2 - j + 2 - 1 + 2*j**2 + 3*j**2. Let h(b) = -b**2 + 1. Let k be h(2). Does 13 divide z(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(170) - sqrt(170)*-1) + (sqrt(170) + (sqrt(170) - -1*sqrt(170)))*5)\/(sqrt(70)\/(6*sqrt(21)\/sqrt(3))).\nAnswer: 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d (base 15) in base 7?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/55381 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15482 - 6776?\nAnswer: -21148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 45, 3\/4, 3, 43263 in descending order.\nAnswer: 43263, 45, 4, 3, 3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b + 4*b - 123*b**2 - 46*b**2.\nAnswer: -169*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 + -101. Let s = z + 38. Round s to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -324*h - 1320. Determine g(-5).\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(65)*2)\/((sqrt(5) + -2*sqrt(5))*5 + 6*sqrt(80)).\nAnswer: -6*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -186.2 - -183.2. What is the nearest to -0.2 in y, -4, 2\/3, 1.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -12*f**2 - 60*f + 8. Let n be m(-7). Let d = 208 + n. What is the remainder when d is divided by -2*(0 - 68\/8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*o**2\/11 + 439124*o\/11 + 2694\/11 = 0 for o.\nAnswer: -1347, -1\/163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + 1\/(-1))*1. Let p = h - 1. Is (p\/(-1))\/((-2)\/(-7)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18318 times 978\nAnswer: -17915004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7 - ((-1 - 5) + 7) - 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**5\/2 - 3*n**4\/2 + 13*n**3\/2 + 15*n**2\/2 = 0.\nAnswer: -5, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (68\/17)\/((-6)\/12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 15, -34, 135, 4, 0.\nAnswer: -34, 0, 3, 4, 15, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293733 is divided by 146531?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8, -8.\nAnswer: -8, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**4 + 4*s**4 - 5*s**4)*(-12 + 17 + 11) + (-3 + 5 - 3)*(s**4 - 3*s + 3*s) + s**4 + 5*s**4 - 4*s**4 + (-4*s**3 + 4*s**3 - 2*s**3)*(3*s + 0*s - s).\nAnswer: 29*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 3790 = -9*l + d, 5*d + 5035 = 4*l. Suppose -18*n + 1399 = -l. List the prime factors of n.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 166750803?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(1\/4)*v)\/(v**(-6\/5)\/v))\/((((v**(-3\/8)\/v)\/v)\/v*v)\/(v\/(v\/(v**(-8)\/v)))) assuming v is positive.\nAnswer: v**(-87\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(4\/(-15 - 1)). Suppose a - 1193 = -4*a - r, -4*r - m = 0. List the prime factors of a.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/2 - (-5 - -2). Let w(f) = 5*f - 4. Let t be w(l). Let k(p) = -p**2 + t - 31. Let m(a) = -7*a. Determine k(m(n)).\nAnswer: -49*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -1103?\nAnswer: -1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 + 8)*-139*(-1)\/(-1). Let r = t + 770. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19931179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*v = -266943, 119*j - 4*v - 89026 = 118*j. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 3486297, 0.5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11560 and 5491?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 5*u**2 - 3*u - 2. Suppose -5*c - 19 = -x, x + 3*x + c = 13. Let l be y(x). Let -14 + 9 - 11 - 8*t + 2*t**2 - 3*t**l = 0. Calculate t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, v: 13}. Give prob of sequence av.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 4*x + 5. Let l be i(-4). Suppose l*j = -4*r + r + 10, -r + 4 = 2*j. Is (j + -1 - 0)*13 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 324\/17, 2\/5, 3002?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 z when three letters picked without replacement from zppzz.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 0)*2*1. Suppose p - 12 = s. Suppose 5*w - w = p. Sort -5, w, -9.\nAnswer: -9, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -288081414?\nAnswer: -288081413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -792, -1198, -1604, -2010, -2416?\n\"Answer: -406*u - 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 789, 3057, 6801, 12015, 18693?\n\"Answer: -g**3 + 744*g**2 + 43*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -5*g + 73 + 23, -2*o + 2 = 0. Let d = 6 - 15. Let m be 440\/3*d\/(-6). Calculate the highest common divisor of m and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-6))\/(12\/(-18)). Suppose 3 = s - 4*r + r, r - k = s. Let g(j) be the second derivative of j**4\/12 + j**3\/6 + 2*j. Give g(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 6)*(4*w**2 - 1 + 1)*(6*w + 6*w - 3*w) to the form y + v*w**3 + k*w + h*w**2 and give v.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19858959 a multiple of 339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1148 - -1151. Solve -4*c + c - 2*m = -10, -3*c = -i*m for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-6)*12\/(-8)*-499. Is 499 equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227 = -r - 231. Let o(h) = -h**2 - 7*h - 4. Let f be o(r). Let j be ((-66)\/f)\/((-63)\/168). What is the highest common divisor of 99 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 44*i - 24 + 21*i - 47*i**2 + 42*i**2 - 12*i. Let b be x(10). Solve -8 = b*s - 26 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 2*j**2 - j - 4. Let u be h(0). Let a be 57 + (-3)\/4*u. Is (-1)\/5 - (-28152)\/a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*m - 45*m + 203*m - 69*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/3 - 227*y\/3 - 2782\/3.\nAnswer: -(y + 13)*(y + 214)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 904464 and 1320?\nAnswer: 4522320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 1\/6, 7.9, 10, -0.11, -6\/11, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 2596 + 0*f - 5*f**2 - 2596.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3037382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - ((-2466)\/(-180) + -8 + 11)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l - 12. Let v(i) = 14*i - 37. What is 4*v(h) - 11*w(h)?\nAnswer: h - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.156 and -2103.\nAnswer: -2102.844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 17. Let i be q(5). Suppose 430 + 74 = 14*h. What is the greatest common divisor of h and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, n: 3, c: 1, s: 13}. Give prob of sequence sgc.\nAnswer: 13\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4091*c + 14634 = 8969*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1911 - 452 + 1470 - 229 = 60*h for h.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -1 - (5 + -9 - -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**7\/105 - x**6\/72 - x**3 - 8*x**2. Let b(i) be the first derivative of o(i). What is the third derivative of b(d) wrt d?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 91, -0.3, -17\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4461327 and 306?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*b - 2. Suppose 6*q - 18 = -b. Solve q*u - u = -2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 861\/(-9) + 4\/6. Calculate the common denominator of -57\/10 and (-7)\/(-280)*j\/(-2).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.044, 0.3, 1?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -450 - 224. Let o = r - 335. Factor -1\/8*g**o + 3\/2 + g - 1\/8*g**3.\nAnswer: -(g - 3)*(g + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.214 - -0.476. What is f rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + 13 + -5 + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5424718646.\nAnswer: 2, 53, 131, 241, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*b = 82*b - 25. Suppose 0 = -3*m + 5*p + 2, 8 = b*m - 2*p - 8. Solve -11 = -g - 4*r, 7*g - m*g + 12 = 3*r for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -36. What are the prime factors of (-240)\/t + 3\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22 - -6*(-1)\/3. Let r be (f\/(-25))\/(2\/(-5)). Solve -r*n = 3*g - 5, n + n = -4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-28) - (-6434376)\/84. What is j rounded to the nearest one thousand?\nAnswer: 77000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2050 - 1a6?\nAnswer: 1b77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 84107 times 0.4?\nAnswer: 33642.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -b1b (base 14) in base 13?\nAnswer: -cba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20392, -20427, -20524, -20713, -21024, -21487, -22132?\nAnswer: -22989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 0, 0*z - z = -x. Factor z*u - 6\/7*u**4 + 8\/7*u**3 + 0 - 2\/7*u**2.\nAnswer: -2*u**2*(u - 1)*(3*u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70\/(-126)*(-6)\/30 - (-520)\/18) + 6.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/880 and 73\/264.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -80 divided by -3\nAnswer: 80\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 100101101011 (base 2) to base 15\nAnswer: aab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d. Let t(m) be the second derivative of -m**3\/6 + 5*m - 4. Give y(t(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51805769 and 431?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -p + 2*i, -5*p = 5*i - 20 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 4*h + 4. Let l be p(-5). Let f = l - -3. Solve 2*t = -f*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a factor of 2767640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224 - 675 + 230 + 62694*r**3 + 221.\nAnswer: 62694*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -u**5\/80 + u**4\/4 - 11*u**3\/24 - 465*u. Let m(t) = 0. Calculate t.\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 + -12 - (-374 + 386)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v - 6. Let f be u(-2). Let k(m) = -m**3 + 6*m**2 + m - 6. Let g be k(6). Which is the second biggest value? (a) 0.2 (b) f (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -281*s**2\/2 + 256*s + 666. Find the first derivative of j(r) wrt r.\nAnswer: -281","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49110053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 divided by 9?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313120 is divided by 13033?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38.05 + -0.05. Is t bigger than 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -7*q. Let h(m) = 2017711*m**2. Determine s(h(k)).\nAnswer: -14123977*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74 + -77. Let c(x) = -4*x**2 - 3*x + 3. Let d(j) = 5*j**2 + 2*j - 2. What is w*d(t) - 2*c(t)?\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 4. Let u(n) = n - 9. Suppose 54 = 12*s - 78. Let q be u(s). Solve 0 = -3*i - q*f - f + b, -5*f + 11 = 2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10933.4 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -g**8\/6720 - g**7\/630 - g**6\/240 + g**5\/30 + g**4 - g. Let h(m) be the third derivative of w(m). Give h(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 155114.\nAnswer: 775570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 186 - 180. Let u be 7\/(-42) - 11\/j. Is u bigger than -18\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -v**2\/2 + 17*v - 1. Let f = -597 - -612. Let c be p(f). Solve -2*n - c*u = 4, 9 = -5*n - 4*u - 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*i = -44. Let v be -1 - (-4)\/i*-5. Let s = 16\/33 - v. Is -1 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + -7. Let q be (8\/(-18)*3)\/((-4)\/9). Let z be -1*q*y\/(-9). Put z, 1, -1 in increasing order.\nAnswer: z, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5336*q - 48058. Calculate l(-9).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-28)\/294 + (-6)\/(-63). Solve -5*r + 2*f - 4 = -3*r, y = 5*f for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s - 21. Suppose -6*g + 2*g + 12 = 0. Let h be w(g). Let k(j) = -j**2 - j + 11. Determine k(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -93700*o**3 - 95054*o wrt o?\nAnswer: -562200*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-51))\/(8\/12). Suppose -q = 0, -3*a - 2*q = -2*a. Is g bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -6, -2*o = 5*s + 76 + 33. Suppose -5*y - 35 + 30 = 0. Is 217\/s*y*3 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 427, 1074, 2003, 3214, 4707?\nAnswer: 6482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) 2\/9 (b) 6 (c) -1 (d) -103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2514715969.\nAnswer: 277, 9078397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 600\/(-28) + 6\/14. Let o = z - -36. Solve -4*h + h = o for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6593152 a multiple of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -1.9. Which is the nearest to -0.1? (a) -8\/3 (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o + 112 = 6*o. Let g be o + 20 - (-1 + -11). Is g less than or equal to 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14569586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 93049 and 825.\nAnswer: 6978675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 124*n - 7286. Calculate m(55).\nAnswer: -466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 407.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3240, 5807, 8388, 10989, 13616, 16275, 18972, 21713?\nAnswer: 24504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 235.56 + -231. Round s to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 5*w - 4*w)*(-1 + 1 - 5*w)*(w - w - 2*w) + 0*w**3 - 2*w**3 - w**3.\nAnswer: -63*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -4. Let g = -21.96 + 22. Let a = g + -2.04. Sort j, a, 1\/4 in ascending order.\nAnswer: a, 1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20888 is divided by 225.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 126*u - 80*u - 65*u - 16*u**5 wrt u?\nAnswer: -320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 4*u**2 - 8*u + 2. Let q(n) = -n**2 + 8*n - 6. What is the remainder when x(6) is divided by q(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -i + 20, -2*i - 1 + 31 = -2*k. Suppose -14076 = -27*o - 9*o. Let y = o + -339. What is the lowest common multiple of i and y?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + 5*d - 76, 49*v = 52*v - 175*d + 57 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 23 (b) -0.26 (c) 257.6 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**2\/5 - 1498808*u\/5 + 280803177608\/5 = 0.\nAnswer: 374702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65139, -65127, -65095, -65037, -64947, -64819, -64647?\nAnswer: -64425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i - 1 + 3*i + 0)*(-6*i**3 + i**3 + 0*i**3).\nAnswer: 15*i**4 + 5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -0.037791?\nAnswer: -2.962209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykxkx. What is prob of sequence kx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51007319?\nAnswer: 11, 149, 31121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/2)\/((-13)\/(-702)). Let b be -4 + -2 + (-156)\/g. Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6664 + -0.64. What is r rounded to three dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (197\/((-39006)\/(-1080)))\/(6\/(-66))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m**2 - 32*m - 4. Let l(d) = 7*d**2 - 62*d - 7. What is 6*l(h) - 10*p(h)?\nAnswer: 2*h**2 - 52*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -206 + 259. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - y**2 - 11*y - 52. Calculate o(-3).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 642 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -146*g - 29. Is d(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.1 + -1.2. Let w = -9.2 - p. Let u = 5 + w. Does 0 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22.1 - 73.9. Let o = 102 + x. Which is the closest to 1? (a) o (b) 2 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 311285 and 3486392.\nAnswer: 17431960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323*a + 440 = -367*a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9712.7 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3)*u**4)\/((u\/u**(-1\/2))\/u)**(-2))\/(u**(2\/5)*u**(-5))**(2\/31) assuming u is positive.\nAnswer: u**(356\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 8*g**2 - 7*g. Let x be j(-7). Suppose p - 4*k - 15 = 0, x*p - k + 45 = 3*p. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142\/(-15988)*(-84)\/27?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 370*y - 7. Let o(r) = -4*r + 1. Calculate -h(z) - 6*o(z).\nAnswer: -346*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 5:17 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 56\/3 or 2\/31?\nAnswer: 56\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2590*m + 2596*m = 18936. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 2*t + 2*t)*(1 - 1 + 1 + (-2 + 6 - 1)*(1 + 0 - 3) + 1 + 4 - 1) + (-2 + 3 + 1)*(-t + 3*t - 4*t).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 57.82697 minutes?\nAnswer: 3469618200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -72. What is the lowest common multiple of t and 20?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -105*o - 171*o - 31*o + (0*o - 4*o + 5*o)*(0 - 3 + 1).\nAnswer: -309*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 7. Suppose -v + r = 2. Which is the second smallest value? (a) -0.3 (b) v (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1*-4 + 1)\/(-1). Find the second derivative of i**3 + 2*i**3 - 2*i**3 + 0*i - z*i wrt i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 186 + 185. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x - 1. Let y be l(-5). Let i = 60 - y. Let p = i - 26. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8928 and 656.\nAnswer: 366048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - 0) + -1255 + 1252.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q + 10 = 0. Let t be (4\/(q + -4))\/(-1). Calculate the remainder when 11 is divided by 7\/t - 2\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 2*p - 5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/6*-1*-3. Let s(j) = 2*j - 1 + 1 + k*j. Let o(x) be the second derivative of -x**3\/3 + 2*x. Determine s(o(t)).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 555 by 2342.\nAnswer: 555\/2342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h**2. Suppose -23*m - 60 = -28*m. Suppose -2*r - 2 = 3*z, -3*z + z + m = -2*r. Suppose 0 = -n + 4 - 7. Let f(b) = -4*b**2. Give n*f(y) + z*d(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5\/1214 - -54997\/58272. Calculate the common denominator of x and -47\/540.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/(-6))\/(-6*(-1)\/(-9)). Let p be (-1 - 1)\/(12 + t). Which is the third smallest value? (a) -5 (b) -0.3 (c) 7.1 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4579 and 1817647787?\nAnswer: 4579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) 5\/8 (c) 4 (d) 5 (e) -2\/21 (f) -10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 272 = -2*c, c - 110*h + 113*h - 108 = 0. Calculate the greatest common factor of c and 3036.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 2:43 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30 - -64?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 2*r - 9*r. Let j(b) = -b**2 - 6*b + 1. Let x(z) = z. Give r*x(i) - 2*j(i).\nAnswer: 2*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + j + 2*a + 22 = 0, 0 = j - 3*a - 5. What is the least common multiple of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 11:49 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 2*v**2 - v + 2. Let h be k(2). Let n be (1 - (1 + h))\/1. Let m be ((-2)\/(-3) - 1)*-3. Sort n, m, 4 in decreasing order.\nAnswer: 4, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9402 times 50\nAnswer: -47.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 2*b - 20, -4*g + 3*b = -4 - 12. Suppose -4*z = -4*l, 2*l + g*z + 1 = -5. Let p be 1\/((-1)\/(-2)) + -2. Put 1, l, p in decreasing order.\nAnswer: 1, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/833616 and -157\/102?\nAnswer: 14171472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(170)\/(2*sqrt(10)) - ((sqrt(17)*5 - sqrt(17)) + -4)) + 1 + 2*sqrt(68) + sqrt(17) + 0)*-2)**2.\nAnswer: 60*sqrt(17) + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2143232 (base 5) in base 6?\nAnswer: 444433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13841500\/17 + -813926. Let j = y - 280. Sort -0.2, -1\/2, j, 0.1 in descending order.\nAnswer: 0.1, j, -0.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 62 + -1?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -305?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*j + 4774 - 3002 + 12968. Calculate the lowest common multiple of 14 and j.\nAnswer: 4690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6570*s - 15315*s - 14391*s + 4342*s to r + h*s and give h.\nAnswer: -31934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 44145 divided by 44145\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2834, -5677, -8520, -11363, -14206, -17049?\n\"Answer: -2843*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 3*o - s, 3*s = o - s - 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.013 + 0.513. Which is the closest to 3? (a) k (b) 1\/3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18774 - 18774 + 586*z**3 - 565*z**3.\nAnswer: 21*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -17*h + 5. Let c(l) = -11*l + 6. Let i(r) = -3*c(r) + 2*q(r). What is i(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/3 (b) 1 (c) -3\/8 (d) 0.2 (e) 2\/21 (f) -15.32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -314 + 323. Solve -u = 3*q - 9 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 303313430?\nAnswer: 303313430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 523.83 + -527. Sort g, -2\/7, 5 in descending order.\nAnswer: 5, -2\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + h - 3 = 0, -2*u + 4*h + 10 = 28. Put 0, -3, 5, u in descending order.\nAnswer: 5, 0, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -9 + 16 + -3 + -1 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -637*t + 490*t + 145*t - 25*t**2.\nAnswer: -25*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16.1981 and -8?\nAnswer: -129.5848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 4*c - 51, -w + 342*c = 352*c - 85 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-1)\/2) + 2. Suppose -3*i + w = -i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*i + 8 = 5*d, 3 = -d + 5*i. Let r(t) = -14*t**2 + 20*t**d + 1 + 6*t**2. What is the units digit of r(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 3*c = -117. Let w = c - -95. Calculate the remainder when w is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 106 - 70. Calculate the greatest common factor of k and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3465003 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 divided by 571?\nAnswer: -68\/571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + -1 - 1*16. Let f = l + 31. Let p = 16 - f. Is p less than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 23730\/(-490) - (-6)\/14. Is m < -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24408 = 46*r + 14*r - 15132. Calculate the remainder when r is divided by 65.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 0 + 3 - -1. Let t = -8 + 19. Let f = -6 + t. Put f, n, -1 in decreasing order.\nAnswer: f, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**3 + 26*j**2 + 28*j = 0. What is j?\nAnswer: -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/50 and 4\/155.\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 748*m + 87598. Let j be k(-117). Suppose q + q = 902. What is the highest common factor of q and j?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3625 - 90?\nAnswer: 3555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**5 - 16*f**4 - 76*f**3 - 56*f**2 = 0. Calculate f.\nAnswer: -2, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*p + 36 = 0. Let n be (-2)\/p + (-2 - 61\/(-6)). Suppose -7*l - 42 = -n*l. Calculate the remainder when l is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24576305?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 5)\/((-2)\/4). Find the third derivative of 8*b**4 - 19*b**4 + 8*b**t + b**2 wrt b.\nAnswer: -72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 11 = -5*s, 3*j + 2*s + 35 - 25 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261008?\nAnswer: 2, 11, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*f = 74*f - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 270359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**4 - 16*z**3 + 24*z**2 - 16*z + 4.\nAnswer: 4*(z - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/6*(-2 - 0). Let v = 13 - r. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -23*t - 1. Calculate the smallest common multiple of m(-1) and ((-15)\/(-4))\/((-140)\/(-64) + -2).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pd when two letters picked without replacement from {p: 5, a: 1, d: 5}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 12*i**2 - i. Suppose -4 = -6*x + 2. Let d be r(x). Let j(u) be the third derivative of u**5\/60 - 5*u**4\/12 - 2*u**3 - 171*u**2. Give j(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) + 2)*2 + (sqrt(175) - (0 + sqrt(175))) + -3 - (-2 + sqrt(175) + -1 + 1))**2.\nAnswer: 30*sqrt(7) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3187794 or 3187805?\nAnswer: 3187794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 91871148*g**3 - 5621*g**2 - 2480 wrt g?\nAnswer: 551226888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 3, 4, 5 in descending order.\nAnswer: 5, 4, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 2 - 10. Suppose -y + 25 = -o*u - 601, 2*y - 1254 = 3*u. Round y to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(19) + sqrt(19)*3 + sqrt(19) + sqrt(133)\/sqrt(7)*-1 + sqrt(19))*6.\nAnswer: -18 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5670.121 millilitres?\nAnswer: 5.670121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.089*57.\nAnswer: 5.073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32889.\nAnswer: 3, 19, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34778554*u**3 + 139114228*u**2 + 139114264*u + 48.\nAnswer: 2*(u + 2)**2*(17389277*u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 36388 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1495 divided by 23.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -25*f**8\/112 + 3*f**4\/8 + f**3\/2 + f**2 - 21*f. Find the second derivative of j(o) wrt o.\nAnswer: -1500*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/4)\/((-15)\/20)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/148)\/((-14)\/(-8) + -1). Put 1, -4, -3, x in ascending order.\nAnswer: -4, -3, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4 = -k. List the prime factors of (-6)\/(-8) - 81\/k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**2 + n**2 + 2*n**2 + (-1 + 1 + 2*n)*(-4*n + n + 2*n) - 3*n**2 + 2*n**2 - n**2 + n - 2*n**2 - n + 1 - 1 + 2*n**2 + (2 + 16*n - 2)*(-6*n + 2*n + 3*n).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -2*t**6\/5 + t**3\/6 + 6*t - 5. Let q(g) be the first derivative of o(g). Find the second derivative of q(u) wrt u.\nAnswer: -144*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -2. Suppose 5*m - 15 = -3*p, w = 2*p - m + 2*m. Let z(o) = -o**3 + 7*o**2 - 5*o + 5. Is z(p) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) -0.2 (c) 21 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 32 - 70. Suppose 5*c = 3*c - 8. Let m = z - c. Does 19 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 - -38. Suppose -a = -2*s + 8. Suppose -4*h = -s*h + 240. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8394092?\nAnswer: 2, 7, 113, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-9))\/((-15)\/270)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 36 = 4*g, -15 + 6 = 4*t + 5*g. Suppose 24 = -i + t*i. Solve i*j = 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + 3*a - 15, -46*b + 43*b + 45 = a for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**3 - p**2 - 3*p + 3. What is r(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) - (sqrt(1053) + (sqrt(1053) - (sqrt(1053) + 0 + -3))))**2 + -2 + sqrt(1053)*1.\nAnswer: 7 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vew when three letters picked without replacement from wyetytyvtyyytetq?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*g - 2*i, -3*i - i + 36 = 4*g. What is the derivative of -g*b - 2 + 7*b**2 + 6*b - 34 wrt b?\nAnswer: 14*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -4*h + 118, -3*p + h + 33 = -31. Let k(t) = 3*t**2 + 6*t + 4*t + p - 3*t - 16. Give k(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 806 is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 104*z**6 - 48*z**3 - 56*z**2 - 121*z - 3.\nAnswer: 12480*z**3 - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 7*b**2 - 5*b - 9. Let c(p) = 4*p**2 - 3*p - 5. Suppose 0 = -5*d + 4*r - 67, -4*r - 5 + 6 = d. Let s be ((-8)\/6)\/(22\/(-99)). Give d*c(y) + s*f(y).\nAnswer: -2*y**2 + 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/(-6)*(-63)\/294?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45558 and 379650?\nAnswer: 1138950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -15*i + 7*i - 8 + 7*i. Let r(j) = -j - 7. Give -6*n(a) + 7*r(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 680.7 + -751. Let y = z - -67. Let h = 3.299991 + y. What is h rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 226912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5409640 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 62\/3 of a year?\nAnswer: 248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (80\/(-15))\/(((-308)\/147)\/22). Solve v*c + 2*c = 232 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.51 + -25.51. Let n = -3 - 23. Let y = g - n. What is the closest to y in 3, -0.2, -2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-408)\/1372) + -20?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 100 = -4*a. Suppose 2*f - 5 - 5 = 0. Is 12 a factor of (-6)\/((a\/(-8))\/f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -47046.4338 to the nearest 100.\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 308\/(-60) - -2 - (-3 - 0)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000274922 rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 93560878709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 157, -2\/7, -5, -40 in decreasing order.\nAnswer: 157, 4, -2\/7, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 12:38 PM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -1748 and 35.8.\nAnswer: -1712.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.065 take away 79?\nAnswer: -79.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/(sqrt(5)*3) - sqrt(5))**2 - sqrt(10)\/sqrt(2)*2.\nAnswer: -2*sqrt(5) + 20\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59 - -60. Let a = 0.3 - 0.2. What is the closest to l in -4, 0.4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 1.8281514.\nAnswer: 9.140757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 44750, 89909, 135472, 181433, 227786, 274525, 321644, 369137?\n\"Answer: -z**3 + 208*z**2 + 44542*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w**2 + w + 3. Let v be t(-4). Let a = v - -63. Is 5264 - (9 + -4 + a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -103*x**2 - 31*x + 3 wrt x.\nAnswer: -206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 474422*a**3 - 948810*a**3 + 474386*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 1. Let x(i) = 2*i**2 - 6. Suppose 0 - 4 = -4*o. Determine o*x(y) + 6*a(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**4 - 3*o**3 + 3*o**3 + (o**2 + o**3 - o**2)*(-1 + 1 - 2*o) - 10*o**4 - 6*o**4 + 3*o**4.\nAnswer: -13*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x**2 + 4*x - 3. Let b be a(2). Let v = b + 11. Suppose -2*f = -4*f - 2*k + 6, -2*k = -v*f + 30. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9, y: 2, n: 8}. Give prob of picking 1 n and 1 y.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 604904136 to the nearest integer?\nAnswer: 24595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -1940026692*c**3 - 76600420*c**2 - 980224*c - 4096 = 0?\nAnswer: -1\/57, -32\/2917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 34\/5 of a gram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -21*y - 17. Calculate n(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-10))\/((-14)\/(-4760)). Let g = r - -241. Is g a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*l + 55*l + 5090 = -3*s, 0 = -2*l + 4*s + 10186. What are the prime factors of l?\nAnswer: 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s + 2. Let b be c(-11). What is the greatest common divisor of b and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*a = -351*a + 4409 + 22623 for a.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -7*a + 2. Let t be (-1 - -3)*2\/4. Let g(f) = 3*f - 1 + 1 - t. Suppose 12 = 2*q - 6. Determine q*g(n) + 4*c(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 6*g**2 + 3*g - 4. Let v be k(-4). Let l(j) = -18*j - 4. Let d be l(-2). Calculate the highest common divisor of v and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 - 22*a - 2. Suppose 0 = -v + 2*v - 12. What is the lowest common multiple of s(v) and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.1 + -6.63. Let c = 71.47 - g. Let j = c - 70.999969. Round j to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -14*i. Let o(b) = 363*b. Give -77*g(r) - 3*o(r).\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 274200129 to the power of 1\/2, to the nearest integer?\nAnswer: 16559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, j: 1, r: 1, m: 1, e: 11, a: 1}. Give prob of sequence er.\nAnswer: 11\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.6 - -2. Let n = 0.1 + p. Which is the smallest value? (a) -1\/4 (b) n (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -0*d + d. Let w = -865 + 51899\/60. Is w at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/4 + (-17)\/(-68). Let l(m) be the first derivative of 0*m**2 + 0*m - 4 - q*m**4 + 4\/3*m**3. Find g, given that l(g) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18)\/15)\/(24\/15 + -2). Suppose 4*l + 28 = 8*l - n*v, v = 4*l - 36. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19894 and 78047004?\nAnswer: 546329028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 41*w + 785. Calculate m(-21).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35889198 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.44 - -0.26. Let z = d + -0.8. Let x = z + -0.89865. Round x to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-1*(4 - 5))\/(4\/7144)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001390991 rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -57 + 33 + 64 - (1 + 55)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437163 is divided by 71?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*o - 936 + 261 = 1503 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/35 and 27\/56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 168743218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -376 and -983196074962.\nAnswer: -983196075338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155166 is divided by 7053.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2543883, -5087767, -7631651?\n\"Answer: -2543884*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 2:52 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2. Let y(h) = -4*h**2. Let i(m) = 6*n(m) + 5*y(m). Let j(f) = 108*f - 2. Give i(j(x)).\nAnswer: -23328*x**2 + 864*x - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*t - 985557 + 64888 = 925906. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + a = -16, a = -2*j - 3*a + 20. Let h(d) = -d**3 + 7*d**2 - 7*d + 1. Give h(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in 17, 3, 1\/10, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 5:03 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14654*j**2 - 17183*j**2 + 5785 - 5785 + 6443*j**2.\nAnswer: -25394*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -993b06 (base 14) to base 8\nAnswer: -23645412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3415 - 3364. Calculate the highest common divisor of z and 3417.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * 4537772\nAnswer: 136133.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/684 and 71\/22.\nAnswer: 7524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 768454 is divided by 2495?\nAnswer: 2489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 11?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37403198 and 644?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63911\/19176 + 3\/6392. Solve -2\/3*w**2 - 8\/3*w + c = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - 0 - (-2 - -1). Suppose -x*h + 0*h = -4. Suppose -j + 4*p + h = 3, -4*j + 52 = -4*p. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f + 3. Let l be i(-4). What is the closest to -2\/3 in 7, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(6\/11)\/w)\/(w\/(w*w**(-9\/2)\/w*w)*w))**(-22) assuming w is positive.\nAnswer: w**131","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-200)\/(-175) - 2\/14. Solve -2*k - a = 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 10\/15)\/(1\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 830035 and 1813215?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -17. Let u = -3 + x. Let t = 4.47 - 4.27. What is the nearest to u in 0.5, t, -2\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**2 - 7*w - 7. Let i(q) = -q**2 - 4*q - 4. Let n be (((-4)\/8)\/1)\/(3\/(-24)). What is n*r(f) - 7*i(f)?\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -432492164 and -1233.1.\nAnswer: -432493397.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1771516 - -5?\nAnswer: 177151b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*-2*(-2)\/(-26). Let o = -25 + 18. Let h = o + 6.5. What is the third biggest value in -1\/3, h, l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-17 - -7) + (-1 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 527681 and 99869?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-211 - 13*s**2 + 211)*(2*s + 0*s - 6*s)*(-3*s + 6*s - s) in the form n*s + a*s**4 + p*s**3 + y*s**2 + d and give a.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*g + 866 + 807 - 1539 in the form c*g + k and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 122 + -119. Let j = -18 + 17.9. Which is the closest to j? (a) -0.2 (b) 5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -163 (base 16) to base 10\nAnswer: -355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21\/2 - 12. Let q = 430278 + -535695104\/1245. Let b = 2\/249 - q. Sort 5, b, r in ascending order.\nAnswer: r, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 792127*g**4 - 104307*g**2 wrt g.\nAnswer: 19011048*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -87 + (3 - (4 - 0)). Calculate the common denominator of (-2 - (-134)\/3)\/(-2) and (-886)\/j - (-14)\/77.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 133 = f + 3*u, f + 5*u + 133 = 0. Suppose -p = -5*p - 492. Let v = p - f. Solve 3*l = -2*l - v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + -32 + (3 - -2 - (7 - -15)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 396\/22*-1*(-1)\/(-2). Suppose 0 = 7*v - 10*v + 72. Let u = b + v. What is the greatest common factor of u and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18514.\nAnswer: 2, 9257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -7*w + 3. Let p(n) = -n - 5. Let u be p(-8). What is t(u)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5*g + 45 = -0*j, j = -g - 5. Let d = 9 + j. Calculate the smallest common multiple of d and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 279153756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2935?\nAnswer: 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 16640 = 5209. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.34 - -0.31. Let d = 9.26 - 9.66. What is the closest to 2\/11 in d, -2\/11, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/(-7) - -4)\/(2\/(-2)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -323*x + 13. Does 12 divide n(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-715)\/117 - (-60)\/45*(-18)\/(-4)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -8*b**2 + b**3 - 2*b**3 + 3*b**2 - 3*b. Let r be p(-4). Let j = -1 + -4. Sort 4, j, r in decreasing order.\nAnswer: 4, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i - 21*i - 5125 = s, -4*i - s + 10235 = 0. Is i a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*m + 5*o = -190*m - 17, -o = 2*m + 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1011 and -104.8.\nAnswer: -1115.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 4*y + 734 - 772, -u = y - 12 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -823 - -827. What is the second smallest value in 2, 5, 3, -8, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3843 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**2\/2 - 11959*w\/2 + 71826 = 0. Calculate w.\nAnswer: -11971, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*sqrt(17) + (5*(sqrt(17) + 0))**2.\nAnswer: -2*sqrt(17) + 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 2*o - 3, 39*m = 5*o + 44*m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000377 rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(10)\/sqrt(2)*-1 - (5 + -1 + sqrt(5)))**2*4.\nAnswer: 139 + 64*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/42917 and 63\/61310.\nAnswer: 429170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 385\/(-165)*(-3*1)\/(-1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -29*x. Let t(u) = -u + 290. Give t(q(z)).\nAnswer: 29*z + 290","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 53771.091 rounded to the nearest 100?\nAnswer: 53800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/((-48)\/36).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -58221.\nAnswer: -58218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*f**3 + 2630725*f**2 + 5059112?\nAnswer: -9*f**2 + 5261450*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + 26. Let k be ((-18)\/6 - -8) + 14\/(-4). Which is the second smallest value? (a) k (b) q (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 2 + 0*x**3 - 3\/2*x**2 + 0*x**4 + 0*x - 2\/5*x**5. Find the second derivative of q(a) wrt a.\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6417, -12851, -19297, -25761, -32249, -38767?\n\"Answer: -u**3 - 6427*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 0 (c) -2\/5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 70 - 71 - (0 - -8)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*c = -18, -c + 5*c = 3*y - 26. Suppose 6*p - p - 56 = 2*g, 26 = y*p + g. What is the highest common divisor of p and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -589c (base 15) to base 3.\nAnswer: -221211010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -995, -994, -993, -992, -991, -990?\n\"Answer: c - 996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j + 4. Suppose 3*x + 0*q = -3*q + 18, 5*x - 29 = -4*q. Let b be l(x). What is the remainder when 34 is divided by b + (0 - 0) - -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4 = 9. Suppose -5*d + 3*j = w*j - 1283, 4*j = -4. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1477, -5915, -13327, -23725, -37121, -53527, -72955, -95417?\nAnswer: -120925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17184807 - 0.4719\nAnswer: -17184807.4719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6435110282?\nAnswer: 2, 4759, 676099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3023 (base 4) to base 9.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 5*f. Suppose -3*j + 16*j - 39 = 0. Let b(a) = -3*a - 4. Let q be b(-3). Let n(o) = -2*o**2 + 9*o. Calculate j*n(u) + q*w(u).\nAnswer: -u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.35 + 13.35. Put p, -5, 0, 7\/2 in decreasing order.\nAnswer: p, 7\/2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*r - 42*o + 3083 = 44*r, -4*o = -4*r - 276 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -83*k + 304. Solve -3*y + r = -1, -k*y = -8*r + 3*r + 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 110915?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383 is divided by 96.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -15*v. Let k(r) = r**2 - r + 47. Give k(l(s)).\nAnswer: 225*s**2 + 15*s + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.127568 - 11943.\nAnswer: -11942.872432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 minus -225.925?\nAnswer: 183.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbln when four letters picked without replacement from {b: 4, v: 2, n: 2, l: 3, f: 2, z: 1}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 9:44 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 3:32 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence why when three letters picked without replacement from wwwchwshchwhywwwc?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 77355 and 18.\nAnswer: 154710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/8 + (-14)\/(-8). Suppose y*r - 24 = -0. Suppose -3*d + 6 = 0, -4*d = -3*m - 2*m + 7. Solve m*c - i = r, -4*c - i + 14 = -9 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -5\/6*o**4 - 23*o + 0*o**2 + 0*o**5 + 5\/6*o**6 + 0*o**3 + 0. Find the third derivative of p(u) wrt u.\nAnswer: 600*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 10, t: 9}. Give prob of picking 3 t and 1 y.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9188588.\nAnswer: 2, 233, 9859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2801 is divided by 1390.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*k - 45. Let f(r) = -r**3 - 2*r**2 + 2*r. Let d be f(2). Let i = d - k. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1393 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7647211 by 1.\nAnswer: -7647211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-3870)*10*(2 + (1 - 2))*1.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26935.4 minus 1637069.04?\nAnswer: -1610133.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**3 - u**2 - 3*u + 26. What is the tens digit of q(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**3 + 103*r**2 - 10*r - 6968. Determine p(50).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.4, 2\/7, 1 in descending order.\nAnswer: 1, 0.3, 2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 4182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 0 - (-28 - -24) - 3. Let h(j) = j**2 + 3*j + 2. Let n(q) = -q**3 - 4*q**2 - 12*q - 9. What is z*n(f) - 9*h(f)?\nAnswer: 2*f**3 - f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 17 = -3*f, t - 3*f = 6*t - 11. Suppose -t*n = 4, 3*z - 3*n - 313 - 23 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/24)\/((-4)\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*c + 1848 = -1120 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s + 0*s - 6*s + 0 + 0 + s + (3 - 4 - 1)*(-s + 5*s - 6*s) - 3*s + 4 - 4 + (1 + 3 - 3)*(0*s + 2*s + 0*s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 154 - 149. Let j = -6 - -11. Suppose -j*x + x = -20. Solve -x*o - a = 0, 6*o - 2*o + 12 = 4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - m - 34, -7*b - 50 = -12*b + 5*m. Solve 189*r - b = 192*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 13440.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342224996.\nAnswer: 2, 31, 2759879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r - 24. Let a be f(-14). Let i be (5 - a)*(14 + -1). Suppose 3*s = -2*s + 4*o + i, -3*o = 4*s + 2. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*o - 11 = -5*l, -o = -3*l + 7. Suppose -2*h - w - l = 3, 3*w = -2*h - 15. Suppose -2*z + h*z + 12 = 0. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.5 - -35. Let j = 7.48 - -0.02. Let i = f - j. What is the closest to 2\/7 in 0.5, -5, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 198 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -2.6 (b) 3\/16 (c) -5 (d) 1\/4 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/13)\/a)\/(a\/((a\/a**(-1\/6))\/a))*((a**8\/a)\/a)\/(a*(a**(-4\/3)\/a*a)\/a))**(1\/33) assuming a is positive.\nAnswer: a**(139\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.164061*-0.4.\nAnswer: -0.0656244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**5\/270 + 2*a**4\/27 - 7*a**3\/27 + 68*a**2. Solve n(d) = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -288*h**2*q**3*v + 93*h**2*v**2 + h*q**3*v**2 - 41235*h*q*v**2 wrt h.\nAnswer: -576*q**3*v + 186*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.931 and 47285?\nAnswer: -44022.335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 788, 1557, 2326, 3095, 3864, 4633?\nAnswer: 5402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9612 is divided by 33.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/17, 0.17, -0.4, 3\/8, 5?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 177344 (base 12) in base 16?\nAnswer: 63424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 70, 1.\nAnswer: -4, 1, 5, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 866844431?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*n = -10, 3*a - 10 = 4*n - 1. Find the common denominator of (2\/48)\/(6\/(-1140)) and ((-59)\/4)\/((-4 - -3)*a).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 6*h + 4. Let z be (0 - (-4)\/2) + (0 - -5). What is v(z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 a when four letters picked without replacement from {a: 3, x: 12, z: 1, k: 4}.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 8:05 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 186518 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 5*x = -6*n + 20, -3*x = 35*n - 37*n - 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 5*c - 6*c - 1 to the form h + k*c and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j**3 - 318*j**2 - 448*j - 152 = 0.\nAnswer: -2\/3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154009 is divided by 149306.\nAnswer: 4703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56700\/600*14\/63?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*j**5 - 15500*j**4 + 397105*j**3 - 309460*j**2 - 2259700*j + 138000 = 0. What is j?\nAnswer: -115, -2, 2\/33, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 109\/1845, -0.8, 17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11\/5 + 131054\/230. Which is bigger: 573 or c?\nAnswer: 573","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14881*v - 28370 wrt v.\nAnswer: 14881","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15 + 93?\nAnswer: 7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 28 - (-59 - -10 - -31) - 85\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 353.\nAnswer: -1\/353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2023, 4301, 6579, 8857?\nAnswer: 11135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 619808 and 863304?\nAnswer: 24172512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -346112155 greater than -346112155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -9*p**3 - 13*p**2 + 4. Let q(s) = 8*s + 45. Let k be q(-5). Let x(a) = 11*a**3 + 12*a**2 - 4. Let m(y) = k*z(y) + 4*x(y). Determine m(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 8:02 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d - 1. Let s be -2 - (-2 + 1 + -3). Let m(z) be the first derivative of -z**2 + z - 3 + 5 - z**s + 3*z**2. What is 4*k(u) + 3*m(u)?\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.03687435 to 4 dps.\nAnswer: -11.0369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a kilogram in grams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**10\/n)\/n**(-3\/4)*n**(3\/4)\/(n\/n**(-9)))**30 assuming n is positive.\nAnswer: n**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-2) - (12\/(-20))\/((-45)\/100)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 329*v + 29. Let s(g) = 659*g + 70. What is 7*p(c) - 3*s(c)?\nAnswer: 326*c - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1440 and 82980?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/9 (b) -21239 (c) 5 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 - -3 - (-54 - -32 - -19).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d + 23*d + 90 = 2*w, 2*d - 5*w - 65 = 0. Calculate the greatest common factor of 640 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 10*z - 3*c - 11731, -4*z = 2*c - 11726. Let t = z + -1178. What are the prime factors of t?\nAnswer: 2, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 629476.\nAnswer: 2, 17, 9257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -24. Let v(h) = -4*h**3 - 8*h**2 + 12*h - 4. Let z(t) = -t**4 + 9*t**3 + 15*t**2 - 23*t + 7. Let o(d) = n*z(d) - 7*v(d). Factor o(k).\nAnswer: 4*k*(k - 2)*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (123\/574)\/(6\/(-20))*49\/(-14)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 318 and 1524.\nAnswer: 80772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbybbbnbbmmnnn. What is prob of picking 1 m, 2 n, and 1 y?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2864038 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -152.8 and -669051.28?\nAnswer: 668898.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -11*l. Let h(y) = y**2 + 3*y. Let r(c) = -2*c. Let t(n) = 2*h(n) + 3*r(n). Determine t(m(s)).\nAnswer: 242*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1230\/128251 or 1?\nAnswer: -1230\/128251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 484*r + 3214. What is p(-7)?\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -329 at most as big as -327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3985.\nAnswer: 5, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 9 - (0 - 6) - -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 7:11 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 3*t**2 + 5*t - 1. Let l be j(4). Let p = -969\/7 - -139. Let o = 454\/1435 + 24\/287. What is the smallest value in l, p, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 2538592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.219 in 4, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*g + 2, 2*l - 7 = 3. Let q be 210\/45 + 10\/(-6) + g. Suppose -q*i = -4*f + 72, -5*f + 2*f - 3*i + 66 = 0. Solve -3*j + 25 = 2*j, t - 4*j = -f for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmhmmmhhhhhhhhhhhhm. What is prob of sequence mh?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 660000 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 16 = -4. Let x be 9\/6 - 1\/u. Let d be (-42)\/(-5) - 2\/5. Calculate the greatest common divisor of x and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + 0*g + 5*g)*(27 - 39 + 23)*(-5*g**2 + 2*g**2 + 4*g**2).\nAnswer: 99*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 346.6 - 349. Let t = -5.787 + 3.39. Let i = t - a. What is i rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23868 and 8225334.\nAnswer: 279661356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b + 11. Let n(f) = 29*f - 44. Let d(p) = -n(p) - 4*u(p). Let s(y) = -1 + y + 1. Determine s(d(k)).\nAnswer: -17*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39*b**3 + 105*b**2 + 42*b - 24.\nAnswer: 3*(b + 1)*(b + 2)*(13*b - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.05 - -2. Let o = 2.05 + x. Suppose -2*v = p + 3*v + 11, v + 5 = -3*p. Which is the closest to 2\/3? (a) 2\/7 (b) o (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/17, 52\/5, -21\/46, -15?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 2:11 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 5*a + 23, 2*g + 10*a - 13 = 5*a. Let n = g - -2. Suppose 3*x - 8 = -3*t - 2, -10 = -2*t + 4*x. What is the lowest common multiple of t and n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, -264, -120, 0.2, -4 in increasing order.\nAnswer: -264, -120, -4, 0.2, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + 6*5*(sqrt(405) + sqrt(405)*-5 + -2 + sqrt(405) - sqrt(405)))*-6.\nAnswer: 384 + 6480*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 10:43 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1017d - 8613?\nAnswer: -18791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 8*y + 5. Let b be v(-7). Suppose 0 = -4*h - 0*x - 3*x + 239, 0 = 5*h - 3*x - b. Calculate the remainder when h is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnenddd. What is prob of picking 1 n and 3 d?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 20*h**2 + 204*h - 409. Determine p(27).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k - 2. Let z(h) = -8*h + 1. Let q(t) = 3*x(t) - z(t). Determine q(7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-7\/10)*x**(4\/5)\/x*x*((x**25*x*x)\/x)**38 assuming x is positive.\nAnswer: x**(9881\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 92225107?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9147 is divided by 416?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -223 (base 6) to base 13\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.59 - 2.09. Which is the third biggest value? (a) y (b) -10\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -235919, -943969, -2124051, -3776165, -5900311, -8496489?\nAnswer: -11564699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.091 - -9.706.\nAnswer: 9.615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 16 = 10, -5*h + 20 = 2*q. Solve d + 1 = 5*m - 10*m, 4*d = -q*m + 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.2 + -0.2. Let f = -0.05 + -0.95. Let u = 3.87 + -0.87. What is the closest to -2\/9 in a, u, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 64 = -6*s - 2*s + 4*s + 72, -3*s - 327 = -8*t for t.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -71*y - 350. Suppose 4*v + 114 = 94. Determine l(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12540\/(-150) + (-4)\/10. Let f be (5\/(-5) - d\/(-8))*-130. Calculate the highest common divisor of f and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -698189, -50 in decreasing order.\nAnswer: 1, -4, -50, -698189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b - 15. What is o(-13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 3*d + d)*(2 - 3 - 1)*(3*d + 2*d - d + 4*d - 3*d - 2*d + (0 + 3 - 1)*(d - 2*d + 0*d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + b0c0b?\nAnswer: b0c07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -1034*c - 122*c - 82*c in the form f + w*c and give w.\nAnswer: -1238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80 - 76. Suppose -147 - 97 = -j*w. What are the prime factors of w?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63954 a multiple of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6687184 and 308?\nAnswer: 73559024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 22*n + 5. Let p be r(-5). Let u = 63 - p. Suppose -926 = -31*z - 88*z + 1573. What is the greatest common factor of u and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 1 - 12*j**4 + 10*j**3 + 11*j**4 to the form z + o*j**3 + a*j**4 + x*j + k*j**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 23693 divided by 41699\nAnswer: 23693\/41699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/70*(-2375)\/(-475)*((-3)\/(-6))\/(-1).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 f when four letters picked without replacement from {z: 4, f: 7}?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 203.\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6*h**2 - 29*h + 5. Let l(t) = 3*t**2 - 14*t + 2. Let w(j) = -5*l(j) + 2*s(j). Let w(y) = 0. What is y?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 868097114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3 = -0*u. Does 5 divide (u\/(-2))\/(27\/90)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 15*p - 23636 - 37180. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 629 is divided by 131?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2128*t + 2127*t = -1113. What are the prime factors of t?\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4*g + 1. Let m(a) = 10*a - 6. What is -5*d(f) - m(f)?\nAnswer: 10*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of z**6\/45 - z**4\/18 + z. Solve p(g) = 0 for g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 3*y - 4. Let t be 4 + (-4 - -1) - 4. Calculate the least common multiple of y and 14 + (0 - (-1 - t)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**5\/30 - 25*u**4\/24 - 2*u**3\/3 + 12*u**2. What is the remainder when 47 is divided by c(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -133*r + 316*r + 49*r + 77*r + 244*r as t + m*r and give m.\nAnswer: 553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2252269 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 4*g**2 + g - 6. Suppose -5*w + 5 = -4*w. Let r be i(w). Suppose 4*x + r = u - 12, 0 = 5*u - 3*x - 112. Solve -3*d = d + u for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3*-3*-3*(0 + (-2 + -2*sqrt(1125))**2).\nAnswer: -121610 - 3240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12958 and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2259 is divided by 89.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2274037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = v - 3*h, 0 = 5*v - 3*h - 21 - 6. What is the third biggest value in 0.3, v, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12121 + -1?\nAnswer: 12120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6851 + 10130. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27195, 54398, 81601, 108804, 136007?\nAnswer: 163210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 1. Let k(d) = -8*d - 75. Let l be k(-9). Does 17 divide (-520)\/(-15) - q\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -46932a?\nAnswer: -469331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67 + (-13 - (0 - (1 + 1)) - 0)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one sixths of a day in minutes?\nAnswer: 9840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/81 and 79\/15150942?\nAnswer: 45452826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + k - 2. Let c be b(3). Let q = c - 2. Let i(j) = -3*j - 8. Does 15 divide i(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -16\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2427, -4856, -7285, -9714, -12143?\nAnswer: -14572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/7)*h)**(-47)\/(h**(2\/5))**9*h*h\/h**2*h*h*h**(-2)*h*h**(2\/19)*h*h*h\/((h**(-2)\/h)\/h) assuming h is positive.\nAnswer: h**(-19329\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 985, 516, 47, -422, -891?\nAnswer: -1360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*x + 75 - 30. Put 5, 44, x, 2 in ascending order.\nAnswer: 2, x, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/15)\/(68\/510). Let o = -103 - -177. Let x = o + -226\/3. Sort 4\/9, g, x in ascending order.\nAnswer: g, x, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641778984 to the power of 1\/2, to the nearest integer?\nAnswer: 25333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 28*h**2 + 63*h - 60. Calculate n(-30).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q**2 - 5*q + 425. Let l(d) = -d**2 + d - 1. Let a(n) = 3*i(n) + 15*l(n). Let z(x) = -2*x. Give a(z(u)).\nAnswer: -12*u**2 + 1260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 15, -3*h - 2*p + 241 + 1807 = 0. Calculate the greatest common factor of 196 and h.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 540 - 98. Let p = q - 334. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17854 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3185 and 1085.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10548810?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 3493, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 - 38. Determine m so that 2\/3*m**3 + i*m**2 + 2\/3*m**4 + 0*m + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 32?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4491\/13 - -556429\/1612. Let d = -1\/31 - y. Which is the second biggest value? (a) 5 (b) -0.4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from llmymkwlkum?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-42))\/((-250)\/(-60) + -3)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*d + 891 = -17*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1238, -2477, -3718, -4961, -6206?\nAnswer: -7453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*k - 8*k - 9*k + 3*k**2 - 9*k**2.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 884 - 1774 + 890 + h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*4\/(-224))\/((-55)\/(-77)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 8*x. Let j(y) be the second derivative of 12*y**3 + 2849*y. What is d(j(n))?\nAnswer: 576*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r - 16 = -5*r. Let x be (r\/6)\/(10\/420). Let p = 2\/21 + -3\/7. Which is the third smallest value? (a) 2 (b) p (c) x (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24512.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 7. Let c be y(-6). Let k(x) = -x**2 - 1318*x - 33248. Let g be k(-26). What is the greatest common factor of c and g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2 + 1, 5*k = g + 137. Let i be 768\/7 + 8\/k. Suppose 4*j - 91 = 3*m, -5*j - 3*m + i = -6*m. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 15568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + 0 - -4) + -2 - -5. Find the first derivative of 188 + 0*n**l + n**3 - 162 wrt n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14296 + -14260. What is the highest common divisor of c and 381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 11) to base 15.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 742 + 8*o**3 - 369 - 373.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1846? (a) -2 (b) -0.2 (c) -0.44 (d) 0 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 - f - 11. Let v be p(-3). Solve 2*x - v = -3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -629466.0252 - -629572. Let b = -106 + x. Round b to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*g + 84*g - 67*g - 295 - 49 = 0 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80 + -114. Let c = y + 36. Solve 6 = i - 2*b - 0, 0 = 3*i - c*b - 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqxuxuxxxuxxx. Give prob of picking 1 q and 1 u.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7206, -15818, -25846, -37296, -50174, -64486?\n\"Answer: -q**3 - 702*q**2 - 6499*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5772 is divided by 658.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*113\/(35030\/1953)?\nAnswer: -63\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13297184 and 5192?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = 5*h - 34 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -251183*y**4 - 246045 with respect to y.\nAnswer: -1004732*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 81*x + 1400. Let c be v(14). What is the highest common divisor of c and 2870?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of 1\/8*l**4 - 3\/100*l**5 - l**2 + 0*l - 7 - 1\/5*l**3. Suppose h(o) = 0. Calculate o.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 283*s**5 + 79*s**2 wrt s?\nAnswer: 16980*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 83, 143, 193, 227, 239, 223?\n\"Answer: -g**3 + g**2 + 64*g + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*s - 3 + 3 - 127*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14740\/7 smaller than 2105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 5*v - 6600. Suppose h - 4*d + 3300 = d, 2*h + 4*d + v = 0. What is h rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.07 times -0.1?\nAnswer: 2.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + (-4 + sqrt(2736) - sqrt(2736))**2 - (1 + sqrt(684) + (sqrt(114)*-1)\/sqrt(6))).\nAnswer: -10*sqrt(19) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -397426\/11 greater than or equal to -36131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 973491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 + -0.2. Let i = 0.9 - k. Let s = i - 0.3995. Round s to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -473.7 - -454. Let v = g - -19.384. What is v rounded to 2 decimal places?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 0*g**2 + g**2)*(6*g**2 - 3*g**2 + g**2 + (g**2 + 9*g**2 + 2*g**2)*(-1 + 3 - 3)) - 2*g**4 - 3*g**2 + 3*g**2.\nAnswer: 6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-3)*(-1 + 2). Let v = 3 - 6. Let h = 12053 + -24105\/2. Sort b, v, h.\nAnswer: v, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 338649606?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - a + 9. Let v(d) = d - 10. Let i be v(13). Let q be y(i). Sort 9, 4, q.\nAnswer: q, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 4*r + b + 156 = 195, r - 33*b = -4*r - 1297 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 130, 363, 732, 1261, 1974?\nAnswer: 2895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*r + 4618 + 4834 = 50*r for r.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1225, 5\/3, -2 in decreasing order.\nAnswer: 5, 5\/3, -2, -1225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and 2677.\nAnswer: 2677.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 2. Let r be m(-6). Let d be ((-2)\/r)\/((-7)\/(-8)). Is d equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 2*x - 155 = -151, -5*r - 2*x = 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426 is divided by 94?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-12)\/(-150) - 22\/500*(-690)\/(-1242)).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 56050480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 38.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -243\/164 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26253104 to the nearest integer?\nAnswer: 5124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(165))\/sqrt(3) + sqrt(55))\/(sqrt(20) - -1*sqrt(20)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 235215.44, -14 in descending order.\nAnswer: 235215.44, 1\/5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -318.502 from 2140.\nAnswer: 2458.502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3353856977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 5988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1702 > 1671?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*t - 51 = -259 - 332 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*c - 13*c**2 - 1153*c**3 + 2301*c**3 - 1154*c**3 + 13*c**2.\nAnswer: -6*c**3 + 35*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.3 in 1\/4, -3, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k = -21*k - 1090. What is the common denominator of k\/(-60) - (-5 - -6) and 89\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -7123*y**3 - 12*y - 12. Is d(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.3795301s to hours.\nAnswer: 0.00232764725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*k**2 + 20*k**2 - 22*k**2.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 1.9, 1131.1, 0.5 in ascending order.\nAnswer: -3\/7, 0.5, 1.9, 1131.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -79b?\nAnswer: -79b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/6 + 13\/6. Solve -s*b - 8 = 2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -4\/9, -14, 8, 2\/3, -1\/5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1607067 and 4799557.\nAnswer: 5411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 6*f + 3. Let o = -26\/27 + -19\/27. Calculate the common denominator of m(-7) and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -4, -0.2, 1, 1\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -625 - 42?\nAnswer: -667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1927 - -1928. Let z(j) = -8*j - 2. Let a(v) = 15*v + 4. Let l(g) = -6*a(g) - 11*z(g). Let m(h) = h + 1. Give b*l(i) + 3*m(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 10157*u - 50756. Give c(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 757330883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -28*(-10)\/336*4\/15?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3908 and 332.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-12976)\/(-3744) + 2\/(-26) and (-159)\/21 + (-2)\/4.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 521 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r - 1. Let d(z) = 19*z**3 - z**2 + 6*z + 3. Let c(m) = -d(m) - 3*p(m). Determine c(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -2\/286993229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-34274)\/(-1) + (-4)\/((-12)\/9). Suppose -9*q + m + 50017 = 0. Suppose -6*c + q = -0*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49 and 539?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -106*u - 630. Let m be w(-6). Let j(r) = 3*r - 14. Calculate j(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -14 (b) 2\/3 (c) 0 (d) -1593\/5 (e) -86\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -3*o. Suppose o = p + 5*m + 25, 3*m = -10 - 5. Are p and 2\/13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.064 - 3.064. What is the fourth smallest value in 2\/3, c, -0.3, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -237*p - 8. Suppose 9*h + 160 = 11*h. Suppose -84*a = -h*a + 20. Is j(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3\/2 - 1713*a**2\/2 + 10944*a - 35154.\nAnswer: 3*(a - 558)*(a - 7)*(a - 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 1:32 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4708 - 4711. Sort 5, z, 2\/5, -127 in descending order.\nAnswer: 5, 2\/5, z, -127","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001 (base 3) to base 2.\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 118\/6 - 1*-2 and (146\/24 - 1) + 21\/9.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**2 - 390*j + 7605 = 0 for j.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83, -135, -215, -335, -507, -743?\nAnswer: -1055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (41 - 12 + 49)*(4 - 3 + 0)*(5*r - 2*r - 2*r) to f*r + p and give f.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - 0. Let f be (12\/y)\/((-3)\/8). Is f at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from ccccrccrccc?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 425, 2, -6, -5, 0.21 in decreasing order.\nAnswer: 425, 2, 0.21, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -g + 3*g - 20, 0 = -5*r. Suppose -g = 4*j - 6. Let b be j + 0 - (2 + -1200000 + -3). What is b rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ff94f9b + -4?\nAnswer: -ff94f9f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t*t**(-14))))\/((t\/(t**12\/t)*t*t*t)\/t))\/(t\/t**(7\/2)*t*t**(-7\/5)))**46 assuming t is positive.\nAnswer: t**(-483\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1457 - 0.\nAnswer: 1457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5332733 (base 9) in base 10?\nAnswer: 2856090","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101.726667 hours in weeks?\nAnswer: 0.605515875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62531, -500099, -1687687, -4000271, -7812827, -13500331, -21437759?\nAnswer: -32000087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 - 1 - l**2 - 1022*l + 941*l + 1.\nAnswer: -2*l**2 - 81*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 67, 90, 117, 148?\n\"Answer: 2*o**2 + 17*o + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1519*0.06489\nAnswer: -98.56791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -22641*u**2 - 307413*u**2 + 120*u - 10 - 123*u - 134288*u**2. Let h be k(3). Let t = 7179097 + h. Round t to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2*m**3 - m**3 - 2*m**3 + 9.\nAnswer: -m**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -140*a - 3142. Let n be k(2). Is n less than -3422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46534*a**5 + 2*a**3 + 2*a**2 - 1913*a + 16 wrt a.\nAnswer: -930680*a**3 + 12*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -8130.8?\nAnswer: 32523.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -548314 or 3?\nAnswer: -548314","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 4*r - d, 19 = 5*d - 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 5) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 83301 to the power of 1\/2, to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7*i - 4. Let y(d) = -14*d - 9. What is 7*l(q) - 3*y(q)?\nAnswer: -7*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 9450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -17*m - 137. Give n(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 25826746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -b - 5*k, -85*b + 86*b = -k + 2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 226.89576 minutes?\nAnswer: 0.1575665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/(-90)*(-25)\/20.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 26*t**3 + 116*t**2 - 26*t - 32. Let u(b) = -6*b**3 - 29*b**2 + 6*b + 8. What is 2*o(d) + 9*u(d)?\nAnswer: -2*d**3 - 29*d**2 + 2*d + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**3 + 18*f**2 - 8*f + 18. Let t be l(-12). Which is greater: t or 9620?\nAnswer: 9620","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51411525?\nAnswer: 3, 5, 11, 101, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 123826614 to the power of 1\/3, to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (30375\/(-180))\/75 - -2*375\/(-8)\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**3 - d**2 - 3*d - 2. Let w be y(-1). Let m be 32*((-7)\/w + 4). Suppose 0 = 2*t + 5*g - 20, 4*t + 0 = -4*g + 28. Solve t*n + m = 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*c - 14 = 55*c + 2*g, 0 = 2*c - 2*c - 2*g + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -540*b - 74 + 146 = 72 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -804*b + 810. Let h be r(1). Solve 3*w + 2*d - 8 = 0, 0 = w + 31*d - 27*d - h for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8607669, 8607667, 8607665, 8607663?\n\"Answer: -2*c + 8607671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/(-10)*(-190)\/2. Suppose -55 = -3*z + o. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-60)\/8)\/5)\/((-105)\/280)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -4)\/((-3)\/2). Which is smaller: u or 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/(-4)*14 + 818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -4\/1284669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27\/5 in 3, -1\/12, 0.2?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*h**4 + 6330*h**3 + 9009*h**2 + 2700*h = 0. Calculate h.\nAnswer: -300, -1, -3\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -18*r**2 - 471*r + 1411. Determine h(3).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j - 4. Let m be z(4). Sort 3, 5, m in descending order.\nAnswer: 5, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45924409 to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 1:06 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 909214 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) 0.08 (c) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 900129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*s**2 - s + 215*s**2 + 2 + 131*s**2 + 0.\nAnswer: 371*s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/55?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 14228*c + 7559*c - 2 to the form t + y*c and give y.\nAnswer: -6669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30423243 - -2331?\nAnswer: -30420412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -635 - -2515. Suppose -5*z + 5*o + 6780 = 0, -3*o = -5*z + p + 4902. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5*g + 6. Let v(f) = -14*f + 17. Let w(m) = 17*p(m) - 6*v(m). Let l(c) = 42*c + 2. Calculate l(w(a)).\nAnswer: -42*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6843 - 4559. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31660530 and 888.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-126)\/(-147))\/(8\/(-14))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(1 + 1) + 0. Let s = -6 - y. Which is the third biggest value? (a) 5\/3 (b) s (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*a - 5*x, 0 = -a - a + 2*x + 18. Let f = a + -6. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 3*q**3 + 138606*q**2 = 0.\nAnswer: -46202, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2437759 is divided by 80?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**10)**6 assuming a is positive.\nAnswer: a**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 19. Let m(l) be the second derivative of -5*l**2 + 7*l - 57. Calculate 4*h(f) + 7*m(f).\nAnswer: -4*f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**2 - 699960*w + 24497200080 = 0. What is w?\nAnswer: 69996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1642 - 1630. What is the remainder when 727 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -l**3 - 81*l**2 - 2187*l + 80. Factor f(u).\nAnswer: -3*(u + 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(14\/(-8)) - 8. Let q be 10\/((6 + f)\/(-132)). Is ((-22)\/3)\/(40\/q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 3*p - 5*p + 17, -1285 + 1192 = 19*b + 2*p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2511442 (base 6) to base 13.\nAnswer: -48c20","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 1 + 2 - 4 + (2*s + s - 5*s)*(-1 + 1 - 2))*(-9*s**4 - 19*s + 19*s).\nAnswer: -54*s**5 + 27*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258*l = -261*l. Let f be 3\/((-12)\/7)*-4. Suppose -f*b + b + 36 = l. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 1 = -j. Let z(u) = -49*u**3. Let y be z(j). Let m be (-2 - (y + -1))*30. Round m to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 + 336*l**3 - 40*l**3 - 59.\nAnswer: 296*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 89*a*r*v - a*r + 235*a*v**4 + a - 166*r - 14 with respect to v.\nAnswer: 89*a*r + 940*a*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 0 + 174 = 0. Calculate the remainder when 83 is divided by p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 1:14 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, y: 3, m: 3, h: 9}. What is prob of sequence ppp?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140 (base 5) in base 15?\nAnswer: b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*s - 25 = 0, 4*q = -0*s - 4*s + 100. Let l = -1 - -7. What is the third derivative of -v**2 - q*v**6 + 23*v**l - v**2 wrt v?\nAnswer: -240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -85 - -198. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78 + 59 - 42)*(-2 - i + 2)*(0*i - 3*i + 0*i)*(6 - 2 - 1).\nAnswer: 855*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -38 (c) 0.3 (d) 3.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (23\/2)\/(((-85875)\/(-150))\/229)\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*14\/(-2)*5. Let j(x) = 4*x - 138. Let w be j(t). Solve 0 = -n - w*n - 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 - 25*t + 14. Let k be b(12). Let v be 6*(24\/12 - 3\/k). Does v = 22\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202 + 30 = 4*q. Let w = -23 - q. Suppose -85 + w = -5*c. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 9405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -172*o**4 - 458 wrt o.\nAnswer: -688*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -232434950 divided by 50.\nAnswer: -4648699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6) - (-17)\/(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 26*o - 389. Let w be z(16). Let d be w\/(-6)*1*64\/(-144). Put -1, d, -0.12 in decreasing order.\nAnswer: d, -0.12, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64498925.\nAnswer: 5, 43, 59999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 7*y**2 + 5*y - 5. Let d(b) = 2927*b + 181 - 173 - 2935*b - 11*b**2. Determine 5*d(n) + 8*w(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -5*k**4 + 7520*k**3 + 254165*k**2 - 860000*k - 1106640 = 0.\nAnswer: -36, -1, 4, 1537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egs when three letters picked without replacement from wswfgfgfisefggififg.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 3. Suppose -3*s - 18 + 51 = 0. Let p(c) = c**2 - 10*c - 8. Let l be p(s). Let i be m(l). Solve a + 4*k + k + 11 = i, -5*k = -4*a + 31 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g - 1. Let j(d) = d + 1. Let n(p) = p - 10. Let o be n(11). What is o*j(t) + 3*w(t)?\nAnswer: 4*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 - 13031*s**2 - 52136*s - 52140.\nAnswer: (s - 13035)*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**2 - 1\/4*d**4 + 1 - 4\/3*d**3 + 4*d. What is the units digit of h(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 14 = -5*u, 3*u - 19 + 6 = 4*q. What is the common denominator of (-18)\/(-25)*(2 + 46\/(-8)) and (-79)\/12*(-3 - q)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 432264305?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2507 a factor of 54938398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85292527\/468775440 + -2\/651077. Find the common denominator of o and 17\/456.\nAnswer: 13680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/8 of a hour?\nAnswer: 5850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 3*q - 160. Let j be g(-14). Let t(c) = c. Let f(o) = -5*o - 3. Give j*t(b) - f(b).\nAnswer: -b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88938?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 2*h = -10, h - 5 = 2*h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/2*1 + 3\/(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 36 = 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 381923809 to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 525 a factor of 4744110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342440.\nAnswer: 2, 5, 7, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 29944 (base 12) in base 9?\nAnswer: 88057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64 (base 12) to base 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 0.1 (b) 1\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2004592737?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 120851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19917 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1527631761?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.7 - 12.699745. Round t to 5 dps.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/26 - (-580)\/52. Let i = -54 - -23. Calculate the common denominator of (2\/(-4))\/(r\/i) and 39\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*k - 29*k - 15*k)*(k - 5 + 5) - k**2 - 3*k + 3*k + (5*k + 0*k - 3*k)*(0 + 0 - 2*k).\nAnswer: -41*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7567267 (base 8) to base 13\nAnswer: -55c92a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-20) + 56\/(-315). Which is the third smallest value? (a) 34 (b) x (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -104 and 867?\nAnswer: -90168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one twentieth of a kilometer?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -9.0686.\nAnswer: -4.5343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2462 + -36.2462. Put 4, a, 2 in decreasing order.\nAnswer: 4, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*k + 1028 + 1652 = 0 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 8. Let f be c(11). Let h be -1*(0 + -1)*-3. What is the units digit of h + 27\/3 + f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-53072)\/10)\/(20\/(-750)). Suppose -4*v - 105352 - 53833 = 3*l, -4*l = -5*v - b. Round v to the nearest 1000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 23*w + 253. Let c be o(-11). Let z = 27 - 15. Suppose 4*l - z = -c*l. Solve f - 20 = 4*v - l, 3*v = 4*f - 16 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*r. Suppose -3*p - 79 = -7*p - 3*w, r = -3*p + w + 69. Calculate the remainder when p is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78 + -11. Let y = -64 + r. Suppose 111 - 18 = y*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2329845817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 4:30 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3533*b + 1555*b + 122808 = -6894*b - 152778 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7634 is divided by 241?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 0.3. Let h(p) = -p**2 - 3*p + 6. Let a be h(-6). Let i = a - -7. What is the nearest to 1 in o, i, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 12:58 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 4.5. Let u = -0.26 + y. What is u rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 l when three letters picked without replacement from {c: 2, p: 1, n: 2, l: 3, f: 6}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p + 2*p**2 - 6 + 8 - 5. Let k be i(9). Calculate the highest common factor of 78 and k.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 1\/9, 5, -3\/8, 1\/18?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*4*sqrt(65)*6)\/(2*sqrt(45) + -1*sqrt(605)).\nAnswer: 72*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0348997 seconds in nanoseconds?\nAnswer: 34899700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7499756 is divided by 624975.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 3:45 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03337 * -245890.\nAnswer: -8205.3493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -16262\nAnswer: 81310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 521127 - -0.2\nAnswer: 521127.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + p = -25, 0 = -p - 2*p - 0*p for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 + 6544209 - 6544209 + 457*d**2.\nAnswer: -2*d**3 + 457*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cchchhh. What is prob of sequence chhh?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -5. Suppose a - 20 = -q*a. Let r = 144 - 1007\/7. What is the nearest to 1 in a, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j - 2*j - j)*(1 - 1 + 2) + 0*j - j - j + (0*j + 2*j + 0*j)*(-4 + 1 + 2) - 2*j - j + j.\nAnswer: -22*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**5*t\/t**(-2\/5)*(t\/t**(-1)*t)**(27\/4) assuming t is positive.\nAnswer: t**(533\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4709*y + 1841*y + 251421 + 6144 = -587385 for y.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -0.4. Let j = 8067 + -8066.7. Which is the second smallest value? (a) j (b) -1.8 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -143?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, j: 1, w: 1, u: 1, k: 1}. Give prob of sequence kpu.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 12298037 = -20501963. Round t to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 65*j**2*x**4 + j**2*x**3 + 3*j**2*x + 2*j*x**4 - 4*x**2 - 9 wrt x?\nAnswer: 1560*j**2*x + 6*j**2 + 48*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 18*i - 633. What is the remainder when 167 is divided by c(38)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**2\/11 - 574*r\/11 - 5004\/11 = 0.\nAnswer: -278, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 f when two letters picked without replacement from ttdfdtddfdddt?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - m + 16. Suppose 2*n + 10 = 0, h + 2*n - 19 = 3*n. Calculate the smallest common multiple of j(0) and h.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 3*s**2 - s - 36. Determine m(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 356522*b**5 - 2*b - 178569?\nAnswer: 7130440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5788 and 278465021?\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 2534*s**2 + 5 - 1082*s**2.\nAnswer: -3616*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -129 + 337 - 6*o - 170 - 136 to b*o + h and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.86, 4 in decreasing order.\nAnswer: 4, 0.86, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20908*g**4*y**2 - 2*g**2 + 5*g*y**2 - 377*g*y - 3*y - 2 wrt g?\nAnswer: -250896*g**2*y**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 41. Let w = -2 + i. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(72) + sqrt(72))*-5 + (1*sqrt(72)*-1)**2)*6.\nAnswer: -360*sqrt(2) + 402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3466?\nAnswer: 2, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, a: 2, u: 1}. Give prob of picking 2 a and 1 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*u**4 - 3*u**3 + 7*u**4 - u - 7*u**4 + 2*u**3 in the form h*u + k*u**4 + o + t*u**3 + s*u**2 and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 6 = -8*y. Suppose -5*f = -y*h - 1939, 0 = 3*f - 5*f - 5*h + 757. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-2) + 7*1. Let x(u) be the first derivative of u**3\/3 - 4*u**2 + 10*u - 55127. Give x(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2011 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -6\/18207229 = 1\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 499.14 + -266.2. What is t rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 10) + -1 - (70 + -23 + -54)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p + p + 43*p**2 + 19*p**2. Let a be 2\/6*3*-1. Let s be v(a). Calculate the highest common divisor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 714793000 and 250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 11*q - 1. Determine g(8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1695 + -1645 + -35 + 1\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 133*q**2 - 16922*q - 33848. Determine f(-2).\nAnswer: 528","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2362.08699 to one decimal place.\nAnswer: 2362.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57970 divided by -1870.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17145417*r**3 + 5*r - 648332 wrt r?\nAnswer: -102872502*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*a - 5*h, 2*a = 7*a + h - 15. Let u(g) be the second derivative of -2*g**3\/3 + 2*g**2 + g. Let q(f) = -f**2 - 5*f + 5. Give a*q(n) - 3*u(n).\nAnswer: -2*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -15*r**3 - 23*r**2 + 8*r - 73. Is b(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 722120.5 grams to kilograms.\nAnswer: 722.1205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17, 32, 61, 110, 185, 292, 437?\n\"Answer: z**3 + z**2 + 5*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50542 and 326474?\nAnswer: 1366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 72*f - 74*f - 5, -f - 576 = 105*q + 785 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpd. Give prob of sequence pj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 741, 2476, 5847, 11400?\nAnswer: 19681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 4*b - 18, -5*p - 57 = -0*p + 2*b. Let f = -8 - p. Differentiate -r**2 - 2 + f*r**2 + 0*r**2 + r**2 wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8963155 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -9*x**4 - 90*x**3 + 319*x**2 - 12*x - 412. Let s(b) = b**4 - b**3 - 2*b**2 + b + 1. Let p(m) = -24*s(m) - 3*w(m). Suppose p(c) = 0. What is c?\nAnswer: -101, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110010 (base 2) to base 10.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 631291 (base 15) to base 14\nAnswer: 8a9338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 85015807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2705711 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a kilometer in meters?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence scp when three letters picked without replacement from {s: 1, p: 1, c: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t + 13*t - 12*t to the form o + v*t and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: What is -1 (base 5) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/38)\/(1\/10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r. Let n(x) = -6835*x**2. Calculate n(d(m)).\nAnswer: -109360*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 5*b**2 - 5*b + 21. Determine d(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -369608.23.\nAnswer: 2587257.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -342989627, -342989630, -342989635, -342989642, -342989651, -342989662?\n\"Answer: -c**2 - 342989626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, b: 7}. Give prob of picking 2 b and 1 o.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d + 12*d - 38*d + 3*d + 5*d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -270*(-10)\/6 + 22. What is the highest common divisor of 120 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -229\/450 + 2\/225. What is the closest to 1 in -0.1, y, -6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93743160 divided by 2678376.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 324 (base 6) to base 12\nAnswer: a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**4\/6 - 7*w**2. Let s(u) = 2*u**2. What is c(s(y))?\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*m + 0*m - 7*m + (7 - 2 - 3)*(2 + m - 2) + 7*m + 20 - 20.\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -23*k + 5. Let p(v) = -v**3 - 7*v**2 - v - 9. Let w be p(-7). Let z be t(w). Calculate the greatest common factor of 17 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aanhmahamhaaah. Give prob of picking 2 h.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.2, 2\/7, 31\/6, -2, -9\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 5*s = 42, -21 = -22*t + 25*t - 3*s for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 162 + -157. Let y(a) = a**2 - 6*a + 3. Determine y(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 + 207*o - 207900.\nAnswer: 3*(o - 231)*(o + 300)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o\/((((o**(4\/5)\/o)\/o*o)\/o*o)\/o))\/o)*o**(-6)\/o)\/(o**1)**43)\/(o**(-3\/5)*o*(o\/o**(-13))\/o)**10 assuming o is positive.\nAnswer: o**(-921\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -70*r**2. Let f(m) = -m**2 + m - 2. Let p(b) = 5*b**2 - 3*b + 6. Let q(y) = 3*f(y) + p(y). Calculate q(d(i)).\nAnswer: 9800*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 714, 2852, 6424, 11436, 17894, 25804?\n\"Answer: n**3 + 711*n**2 - 2*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3428, -3434, -3442, -3452?\nAnswer: -3464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 75.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 120697 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x**2 - 3*x + 4. Suppose 8*b + 116 = 5*k + 4*b, 125 = 5*k + 5*b. Suppose -4*v - 3*p + 28 = 0, 0 = 2*v + 3*p + p - k. Is m(v) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/2)\/(18\/24 + 2\/(-16)). Suppose -17 = -3*q - 2. Suppose -3*z = d + d - 10, 0 = -q*z + 5*d + 25. Solve h*i + 12 + z = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8117?\nAnswer: 8117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 68208347*x**3 + 3936*x**2 + 407*x.\nAnswer: 409250082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49026 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 16 - 5*p**2)*(70 + 255 - 208).\nAnswer: -585*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1)**(1\/10)\/(f*f\/(f*f*f**(-1\/2))*f)**14*(f\/(f**1\/f))**(-6\/25)*((f\/((f\/(f\/(f\/(f**(-4\/3)\/f)*f)))\/f))\/f*f)\/f*f\/(f**(2\/5)*f) assuming f is positive.\nAnswer: f**(-3731\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1127 + -1130. Sort -60, d, -2\/9 in decreasing order.\nAnswer: -2\/9, d, -60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691887 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25444 - -312250?\nAnswer: 342134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 7*f + 7. Let x be z(6). Let n(a) = 5*a. Let t(c) = -c**2 + 4*c. Let h(r) = 2*n(r) - 3*t(r). Let s(v) = v**2. Give x*h(l) - 2*s(l).\nAnswer: l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 7 - (-8 + -1 - -8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*((sqrt(660) - sqrt(660)*-2)\/sqrt(11))\/(-2*sqrt(48) - sqrt(48))*4*6.\nAnswer: -24*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -1\/4*h**4 + 3 - 1\/6*h**2 + 1\/15*h**5 + 0*h + 1\/3*h**3. Factor t(m).\nAnswer: m*(m - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 6 = -0*l. Let z(g) be the third derivative of 0*g + 0*g**3 + 1\/24*g**4 - g**l + 0. Give z(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -145*c + 2799. What is the thousands digit of g(-19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*2999\nAnswer: -899.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0262 + -149200826806?\nAnswer: -149200826806.0262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 63*j**2 - 177*j + 180. Let q be r(-60). Let y be (-98)\/(-21)*6\/7. Let 4\/5*x**3 + 0 + 0*x + 1\/5*x**5 + q*x**2 - 4\/5*x**y = 0. Calculate x.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 87287 + 0?\nAnswer: 87287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -8*y**7\/105 + 11*y**6\/5 + 9*y**5\/4 + 17*y**4\/24 + 78*y**2. Solve t(w) = 0 for w.\nAnswer: -1\/4, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 6:42 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*j + 80*j - 189*j.\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24465 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 2*x**5\/15 + x**4\/2 - 4*x**3\/9 - 4*x**2 - 16*x\/3 + 29. Factor b(w).\nAnswer: 2*(w - 2)*(w + 1)*(w + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 2*d**3 - d**2)*(-2*d**2 + 0*d**2 - 4*d**2) + (-4*d**4 - 4*d**4 - 3*d**4)*(-3*d + 2*d + 2*d).\nAnswer: d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 92 = 5*a - 2*f, 5*f - 65 = 5*a. Let h(y) = -4*y - 1. Let g = -8 - -12. Let l be h(g). Which is bigger: a or l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 6*f + 13. Let r be n(5). Let l be (6\/r + 13\/52)\/(-1). Let h = -0.84 + -3.16. What is the nearest to l in h, 0.3, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310037832?\nAnswer: 2, 3, 13, 139, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2902*m**5 - 56*m**2 + 30*m wrt m?\nAnswer: -174120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*u - 168 = 31*u - 16*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/1192 and -7\/18476.\nAnswer: 36952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/36 and -1\/150.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.1 + 9.2. Let y = 20 - 21.2. Let c = k + y. Round c to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lxvxxlxv. What is prob of sequence vllv?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 17. Let y(d) = -2*d - 6. What is the smallest common multiple of t and y(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/(-6)*(-18)\/(-4)*6\/(-18)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -159, -319, -543, -831, -1183, -1599?\nAnswer: -2079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 33. Solve -m = -3*h - 2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -80287*p + 80371*p + 924 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1316 divided by 188.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1981 (base 16) to base 8.\nAnswer: -14601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9541446?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -760*o*z**3 - o*z**2 - 9622*o*z + 11*z**3 wrt z?\nAnswer: -4560*o*z - 2*o + 66*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*p + 5. Let q be (-384)\/(5006\/(-5000) - p). Suppose 0*w - q = -w. Round w to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 3 + (-3 - -1 - -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 475296?\nAnswer: 2, 3, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*l**5 + 2*l**5 - 34*l**2 + 8*l**5 - 50*l**2 - 9*l**5 wrt l.\nAnswer: 480*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 7*x + 3. Let m be z(7). Suppose -6*u = -m*u - 15. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1007 in 1.1, -7, -0.4, 4, 6?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (11\/(-4)*-8)\/(8\/96) and 154?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -3*t**2\/2 + 4*t - 2. Let d(n) = 5*n - 7. Calculate 4*d(a) + 7*f(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 15 = 3*q, 4*q + 2 = m + 17. Let l = 22 - 81. Let v = -63 - l. Sort v, m, 0, -2.\nAnswer: v, m, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -3*z + 15, p = 3*z + 3*p - 15. Suppose z*g - 5*u = 410, u + 2 = -0*u. Suppose -5*q = 4*k - 459 + 59, -2*k + g = q. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(((-54)\/6)\/(-9))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, j: 3, h: 1, e: 4, k: 1}. What is prob of picking 3 j and 1 h?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/15)\/(-3)*(-4)\/8.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6183 (base 11) in base 5?\nAnswer: -230243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 25, 4, 0.01, -2\/9?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -22419341, -44838680, -67258019, -89677358, -112096697, -134516036?\n\"Answer: -22419339*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 3*q**2 + 22 + 9*q**3 - 34 as u*q + n*q**2 + o + b*q**3 and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-3472668.\nAnswer: -17363340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.37 or 21750069?\nAnswer: 21750069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3150857*f**2*z**5 + 4006*f**2*z**2 - 62*f**2*z + 78*f - z**5 wrt z.\nAnswer: -189051420*f**2*z**2 - 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**3 + c**3 - 2 + 3*c**3.\nAnswer: -2*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13220\/22560 - (-81)\/(-216) - 3\/36*1.\nAnswer: 6\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 + 38. Solve 0 = 3*z - b*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -4*w - 9, 51*v + 5*w + 621 = 43*v + 154*v + 61*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**5\/9 + 16*o**4\/9 + 16*o**3\/9 - 380*o**2\/9 + 850*o\/9 - 500\/9 = 0. Calculate o.\nAnswer: -5, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 5*v + 5, 72*v = -6*h + 9*h - 55*v - 251 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000919173 to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f**3\/5 + 806*f**2\/5 - 807*f\/5 = 0. Calculate f.\nAnswer: -807, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 1 (c) 22 (d) -4314 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6174)\/(-26334) + (4\/(-22) - 0).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33802330?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -3*b**2\/2 + 23*b - 6. What is the remainder when 8 is divided by q(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4 = 2*u, 8 = f - 4*u - 5. Solve 0 = -5*s - f + 11 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 3. Suppose -p*m = -2*i + 8 + 4, -16 = -3*i + 4*m. Suppose -101 + 33 = -i*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s - 3 + 3 + (s + 2*s - 4*s + (0 - 3 + 2)*(-s + s + 2*s) + 0*s + 4*s + 0*s)*(-3 + 1 - 2) in the form w + a*s and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 203188564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y + 2. Let v = -302 + 169. Suppose -60*f = -66*f + 24. Let d be v\/(-35) + 1 + f\/(-5). Give z(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*(b**(-9)\/b)\/b*b*b\/(b*b\/(b*b\/b**(1\/9)*b)*b)*((b*b**(-8)*b)\/b)\/(b*b**9))**(-1\/3) assuming b is positive.\nAnswer: b**(217\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(22)\/(sqrt(11) + (sqrt(11) - sqrt(44)\/sqrt(4)*5) - sqrt(11)) + (-1 + (sqrt(162) + 1 - sqrt(18)\/(sqrt(144) - sqrt(9))))**2.\nAnswer: -sqrt(2)\/4 + 1352\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-15\/11)\/w*w)**(4\/13)*w\/(w\/(w*((w*w**(-16\/3)*w)\/w)\/w))*(w*w**(-2\/17)\/w)\/w assuming w is positive.\nAnswer: w**(-42814\/7293)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 5*d = -d, d = -2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q + 7. Let x(u) = 3*u - 6. Let b(l) = -5*n(l) - 4*x(l). Let i(g) = g - 1. Give -b(c) + 4*i(c).\nAnswer: c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13897 or 1?\nAnswer: -13897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.6 + 0.6. Let s = -8 + v. Let c = -18.9964 - s. What is c rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**37*(d**(9\/5)\/d)\/d)\/(d*d\/(d\/(d*d**(-2))))**35 assuming d is positive.\nAnswer: d**(184\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205*h + 9*h = 3210. Which is the closest to 0.3? (a) -0.1 (b) 0.2 (c) h (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4148397 divided by 9?\nAnswer: -460933","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-70) - 8\/28. Which is the third smallest value? (a) 3 (b) 3\/8 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5004*o**3 + o - 10009*o**3 + 5006*o**3 + 182 + o**2 - o**2 + 4*o**3 + (o - 2*o - o)*(-7*o**2 + 4*o**2 + o**2).\nAnswer: 9*o**3 + o + 182","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 + -32. Let m = 32 - t. Which is the second biggest value? (a) m (b) -0.4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/10)\/((-772)\/3860).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30.1 - -30.6. Let w = 0.1 - -2.9. What is the second biggest value in 2, -5, w, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 5, -1\/4, 3\/4, 75\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 6 - 32 = -5*s + 71 - 3, -5*s - q = -88 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 5*a - 8, 3*a - 3299*u + 15 = -3293*u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/3)\/o)**50 assuming o is positive.\nAnswer: o**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.29994388 and 1564.\nAnswer: 1564.29994388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -420*h + 1 - 1 + 4754*h.\nAnswer: 4334*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-21) - 2300\/(-644). Let x = 5 + -1. Solve -i*v + 0 = -x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.11 - -6.81. Let i = -7 + s. Let p be 34\/10 + (-13 - -10). Put i, -2, p in descending order.\nAnswer: p, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29519941 to the power of 1\/4, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f - 21. Give n(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -261*k**3 - 18*k**2 - 6*k - 75. Let x(l) = -262*l**3 - 15*l**2 - 5*l - 75. Let p(m) = -5*d(m) + 6*x(m). What is the first derivative of p(o) wrt o?\nAnswer: -801*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkiipisikpkkkpikkki. Give prob of picking 2 i, 1 p, and 1 k.\nAnswer: 135\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -353*k**5\/60 + k**4\/12 + 29*k**3\/3 + k**2 + 64. Find the second derivative of w(x) wrt x.\nAnswer: -706","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6555653357\/5516292 - 1\/919382. Let y = 1184 - h. Calculate the common denominator of -95\/22 and y.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15*(-9)\/243)\/(12\/(-18))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**3\/6 - 25*a**2\/6 - 89*a\/3 - 44 = 0. What is a?\nAnswer: -12, -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 4 + 1 + -3 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*u - 25. Let k(i) = -i. Let n(x) = -2*x**2 + 3*x + 4. Let d be n(3). Let s be k(d). Solve -3*p + 1 = -s*r, -p + 4*p = r - u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 11:00 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -2. Factor 20*j**2 + 1 + 12*j**4 + 26*j**3 + 8*j - b + 2*j**5 + 4*j**2.\nAnswer: 2*j*(j + 1)**2*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1632*g**4*s + 2*g**3*s*x + 20*g**2*s*x + 9*s wrt g.\nAnswer: -39168*g*s + 12*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**3 + 4*g**2 - 3*g + 2. What is l(2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) -131 (c) 0.4 (d) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*(-3)\/6*1. Suppose -4*p = 3*t - 21, -t - 1 = 3*p - 13. What is the highest common divisor of w and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**3\/9 + 20*c**2 + 182*c\/9 = 0.\nAnswer: -1, 0, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69 - -102. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2403599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (563*o + 325*o - 322*o + 1376*o + 608*o)*(2*o + 3*o + 3*o)*(-2*o**2 + 3*o - 3*o).\nAnswer: -40800*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53 + 111. List the prime factors of v.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t**2 + t + 6. Let p(b) = -6*b**2 - b - 7. Let c(a) = 6*p(a) + 7*y(a). Let z be c(3). Which is smaller: z or 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 240.6 + -241. What is the closest to 8 in 5, -0.5, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three thirds of a decade?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 150.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -227781*1.5\nAnswer: -341671.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4556)\/(-201)*21\/(-2). Is -238 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4414*j + 0 - 4413*j + 1. What is h(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04268 + 2.95732. Let f = -2 + 1.96. Put -0.2, 1\/2, f, l in descending order.\nAnswer: l, 1\/2, f, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-47)\/(-4))\/(5\/(-20)) - -1. Calculate the remainder when 63 is divided by (-33)\/22*g\/3.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03861132 to 3 dps.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29187 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1471954 and 198858?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**5\/2 + 60*m**4 - 1623*m**3 + 10350*m**2 - 32157*m\/2 + 7290 = 0 for m.\nAnswer: -60, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 2*d + 1. Let h be s(-3). Suppose -u - 17 = 4*f - f, h*f - 3*u + 1 = 0. Let w = f - -6. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + (sqrt(28)*1 - sqrt(28)) + 2)**2 - (sqrt(28) + sqrt(1792)*-2) - (-5 + (sqrt(28) - (4 + 3*sqrt(28)))).\nAnswer: 41 + 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1272 - 1. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*p**6 + 18*p**4 - 2465*p**2?\nAnswer: 2640*p**3 + 432*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 9:09 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -501*k + 496*k = -30. Suppose 0 = 3*u + k, 0 = 4*i - i - 3*u - 6. Factor -2\/9*d - 50\/9*d**3 + i + 20\/9*d**2.\nAnswer: -2*d*(5*d - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 4*a + 3. Let z be r(4). Let v = z - 0. Solve 2*o + 4*c - 8*c = -20, -3*o - 18 = -v*c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -251 + 333. Calculate the greatest common factor of h and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3538 and 6995?\nAnswer: 24748310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*b**6 + 104*b**5 + b**3 - 23*b**2 + 23*b?\nAnswer: 1680*b**3 + 6240*b**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 8*g**2 + 8*g + 2. Let b be k(7). Is 5 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q = -u - 395, -4*q + 85 - 6 + 66 = -5*u for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-3 - 2 - -3). Which is the nearest to 0? (a) 4 (b) r (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 10:41 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 3*o - 18 = 0, 0 = -p + 2*p - 5*o - 13 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*r**3 - 16*r**3 - 2*r + 1 - 47*r**3 + 30*r**3 + 28*r**2 - 34*r**4 to k + s*r + a*r**3 + o*r**2 + x*r**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1886*i - 684*i - 727*i - 471*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4*r + 5*b = 137, -5*r = -3*b - 125. Suppose t - u - 20 = 3*u, 2*t - 2*u = r. Suppose -5*x - 42 = -t*x. Solve -3*n + x*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13258, -26527, -39796?\nAnswer: -53065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -52 in 3.2, 0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(27\/(-33)) - -4. Which is the third smallest value? (a) g (b) -3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51 - 0 - (-78 - -30)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13985, -14016, -14067, -14138, -14229?\nAnswer: -14340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0 = 4*g + 15, 0 = r + g + 6. Let q be -4 + (-12)\/(-9) + 1. Which is the second smallest value? (a) q (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 6 + 18 = 0. Suppose r - i = -r. Suppose r*b + b = 0. Solve b - 1 = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m + 2*m + 0*m - 11*m + 4*m + 4*m.\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 278 divide 3536438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 2.4. Let j(w) = 4*w + 4 - 3*w**2 + 2*w**2 + 3. Let m be j(5). What is the smallest value in -2\/13, m, n?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1276 and 18.\nAnswer: 11484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1421368189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 95*m + 698. Let u be a(-8). Solve -4*x + 4*c + 4 = 0, 0 = -u*x + 9*c - 8*c + 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 784643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28*n - 2*n + 48*n)*(-46 - 42 + 111) to x + i*n and give i.\nAnswer: 1702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - a - 4, -23*v = -21*v + 7*a - 17 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 1 - 0 - -5) + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((2652\/17)\/(-12))\/((189 + -192)\/(-33*1))\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 84 = 70. Let j be (-12)\/(-12) - 8\/t. Solve -b - j = -0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 804 divide 529826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/126*-24*(-3)\/8*-10?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141929559?\nAnswer: 3, 15769951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4682555 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1143 = z - 2*j, -4*z + 6*j - 10*j + 4536 = 0. Suppose -1152*q + z*q = 0. Let b = 23\/26 - 5\/13. What is the smallest value in q, b, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 20. Suppose -3*m + y = 7. Let p(h) = -41*h - 1. Is 8 a factor of p(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -1525*p - 67440. Calculate l(-44).\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-160)\/(-48) - 12\/9. Solve -k*p - 16 = -3*h, p + 4*h = 10 + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -351 - -351. Suppose x - 9*x + 664 = p. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-420)\/(-45)*6\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7053814.\nAnswer: 2, 151, 23357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 14 - (3 + -6 + (-4 - -15 - 8))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y*y\/(y*y*y\/((((y\/y**25)\/y)\/y)\/y*y))*y*y*y\/(y**(4\/5)\/y))\/(y*y**34)**12 assuming y is positive.\nAnswer: y**(-2209\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -61021.94 to the nearest 1000.\nAnswer: -61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -434798 = -52*i + 843466. Is 51 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4+0.021945\nAnswer: 4.021945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 6549*k + 867*k.\nAnswer: 7416*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -46 - (1 + -9 + 31 + -14)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1987961?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6*s**3 - 257*s**2 + 265*s - 2317. Determine w(42).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f - 1. Let q be b(1). Suppose -295 = -36*i - 43. Suppose i*l = 4*l + q*a + 6285, 5*l - 10475 = -5*a. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14102 + -3?\nAnswer: -14110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -6*l**2 + l + 7. Calculate the remainder when (-6)\/8*(-176)\/12 is divided by k(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3*w = -81, 5*l - w = 12 + 127. Let g = 196 + l. Calculate the greatest common divisor of g and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a4 + 3?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 212100, 211963, 211826, 211689, 211552?\nAnswer: 211415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)\/(sqrt(5) - (sqrt(5) - sqrt(15)\/sqrt(3))) + 0)*-5)**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19052 is divided by 124?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 7)*(2 - 2 + 2)*(5*n**4 - 1 + 1).\nAnswer: -30*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4\/9 + 58*u**3 - 10138*u**2\/3 - 487994*u\/9.\nAnswer: -2*u*(u - 137)**2*(u + 13)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g - 27. Is c(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 95 - 101.5. Let r = d - -6.1. What is the nearest to 3 in 2\/3, r, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rpjj when four letters picked without replacement from {p: 5, r: 8, d: 1, j: 5}.\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 7855.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 3. Let u be r(4). Let t = u - -10. Suppose 23 = t*s + 4*j, s = -3*j + 10 + 1. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -35*j**2 + 2*j - 2. Let k(a) = -34*a + 4. Give k(g(r)).\nAnswer: 1190*r**2 - 68*r + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 730*q**2 - q. Let k be j(1). Suppose 4*u = 3*y - k, -1192 = y - 6*y - u. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - 5. Let g(u) = -u**2 - 10*u - 1. Let r be g(q). Let y(p) = -3*p**3 - 2*p**2 - 2*p - 1. Determine y(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -3*v - 10, 0 = 2*q - 2*v - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*i + 13338 - 3890, -4*i = -5*y + 47198. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 3*m + 6. Let s be l(-9). Let z = s - 76. Let k = z - 12. Calculate the remainder when k is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 37*v - 33*v - 7, -5*v - 4*n = 5. Sort v, -3, -2 in increasing order.\nAnswer: -3, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3*c - 3 + 6)*(-3 - 1 - 4).\nAnswer: 24*c + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -316604 to the nearest ten thousand.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(228\/323) - (-11 - (-20 - -5))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45.3 - 9.7. Let u = 53.87 + v. Let o = -10.67 + u. Round o to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -341, -1375, -3099, -5513, -8617, -12411, -16895?\nAnswer: -22069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9745.829l?\nAnswer: 9745829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-25 - -24) + 9)\/(1\/(-10)). Let a = 206 + -106. Let t = b + a. What is the remainder when 78 is divided by t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(19) - sqrt(19))*2 + 2.\nAnswer: -4*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/5 of a century?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, v: 2, u: 4, k: 2}. What is prob of sequence kpkv?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/2 + 1)*-4. Let p be (44 + f)\/(2 + 0). Let i(g) = -15*g**2. Let q(k) = k**2. What is p*q(y) + i(y)?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 1:23 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2\/29, 258, 2\/3, 1, -44.\nAnswer: -44, 2\/29, 0.1, 2\/3, 1, 258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/1 + 0 + 10. What are the prime factors of o + -6 - (-4 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 38, 80, 150, 254, 398?\nAnswer: 588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 414019699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8587516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-9)*-2 - (-5)\/3. Solve -3*i + b + 5 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2339089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3671\/3 + 1224. Which is the closest to 0.02? (a) 2 (b) j (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4060601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -5*l + 6*u + 30, 2*u + 18 = 5*l. Differentiate 103*w**l + 32 - 4 - 108*w**2 with respect to w.\nAnswer: -10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8199 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 30. Calculate the remainder when (-120)\/55 + 2 - 321\/(-11) is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 5:49 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 1394*a - 114338. Calculate r(83).\nAnswer: 1364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z**2 + 299*z - 337. Determine g(59).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 118*n**2. Let f(y) = 50*y**2 - 37*y**2 + 2*y - 2*y - 43*y**2. Determine a(f(g)).\nAnswer: 106200*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.06, 2672, 16?\nAnswer: 2672","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a + 38. Let b be m(14). Suppose -5887 = -5*x + 2*w, b*x - 12*x + 2*w + 2356 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 732\/((-36)\/60 + 1 + 0). Suppose 0 = -7*t + 214 + c. What are the prime factors of t?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a + 2. Let l(c) = 3*c - 2. Let r(n) = 2*n - 1. Let o(m) = 4*l(m) - 5*r(m). Let b(g) = -3*j(g) - 2*o(g). Give b(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53945 is divided by 5993.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87 - -93. Let w(b) = -b**2 + 5*b + 4. What is w(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*g - 9*g - 25. Suppose -177 = -2*x - g. Does 18 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, a: 4, r: 6, h: 3, t: 1, f: 3}. What is prob of picking 1 r, 1 f, 1 z, and 1 h?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((f*f**(1\/20))\/f*f)\/f)\/f*f*f*f)\/f**12*(f\/(f*(f**(-1\/6)\/f*f)\/f))**(-4\/23))**(-37) assuming f is positive.\nAnswer: f**(518407\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -590234*-167.\nAnswer: 98569078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/573611 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 8. Is b equal to -0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 + 34. Suppose -i*j - 6*j + 4344 = 0. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3620563.\nAnswer: 29, 124847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 110105449 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 35361 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((h - 4*h + h)*(0 + 6*h + 0) - h - h**2 + h)*(2*h + 5 - 5).\nAnswer: -26*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138138901, 138138900, 138138899, 138138898, 138138897, 138138896?\nAnswer: 138138895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 103264 - 21892069\/212. What is the common denominator of p and 43\/24?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**2 - 13*x**2 - 20*x**2. Let w(i) = -i**2. What is w(l(o))?\nAnswer: -900*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5773, -5921, -6069?\n\"Answer: -148*g - 5625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 630 and 39650450?\nAnswer: 356854050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7022538 a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*sqrt(99) - sqrt(99)) + sqrt(99))\/sqrt(9).\nAnswer: -17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 - 10021211121201?\nAnswer: -10021211121010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**3 - 143404*t**2 - 2*t + 143404 = 0.\nAnswer: -1, 1, 71702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*o**3 - 100*o + 35*o + 22*o + 43*o.\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - -4 - -4*2. Suppose 5*a - 7 = 3*l, -2*l - o = -3*a - 4*l. Suppose u + 1 = -b + 3, 5*u + a*b = 25. What is the remainder when 13 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 7110, 4, -37.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 594 or -210437?\nAnswer: 594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 821115 divided by 5.\nAnswer: 164223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 f when three letters picked without replacement from fffffftt.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**6\/120 - z**5\/12 - 5*z**4\/24 - 2*z**3\/3 - 5*z**2 + 338. Calculate f(-6).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 12:50 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*g + 22*g. Suppose g = -4*p - p + 10. What is the highest common divisor of 4 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 - -48.07. Let q = x - 8. Let o be (-1)\/((-18)\/(-4))*-1. Which is greater: q or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4431862 is divided by 36.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 1. Suppose 4*n + 4 = -0*n, -3*n - 23 = -5*i. Let y(q) = i + 1 + 2 - 6. What is o(a) + 3*y(a)?\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339*f**3 + 4*f**2 - 67 - 4*f**2.\nAnswer: -339*f**3 - 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/4)*o\/o**(-3\/8))**(-1\/13) assuming o is positive.\nAnswer: o**(-1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4265832?\nAnswer: 2, 3, 177743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.4 + -1.4. Let w = 4.89 - -0.11. What is the closest to -0.08 in y, w, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - f = 15, y + 3*f = 3*y - 5. Suppose -n + 104 = y*v, -v = 5*n - 17 - 9. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - 164 - (-21 + -63).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -462 by 42.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 5:26 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -343245 - -1.6.\nAnswer: -343243.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/4346946 and 119\/162.\nAnswer: 4346946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 23 - 35 - 5419*s - 11027*s.\nAnswer: -16446*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-188)\/(-36) + 10\/(-2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7605 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 19*y**2 + 11*y + 14. Let w be i(-20). What is the greatest common divisor of w and 679?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -20)*(-4)\/(-5). Let y(k) = k**3 - 12*k**2 - 15*k + 6. Let v be y(w). Let m = v - 1270. Round m to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 12*o**2 + 8*o - 4. Let i = -288 - -529. What is the remainder when i is divided by w(-13)?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 9:17 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, -6, -5, 2\/5087, -0.01?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12, -10, -52, -120, -220, -358, -540, -772?\n\"Answer: -x**3 - 4*x**2 - 3*x + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -625 (base 7) in base 13?\nAnswer: -1b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 813153 is divided by 76.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29398 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284*b**2\/21 + 2*b\/21 = 0. Calculate b.\nAnswer: 0, 1\/142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -14 - 2 + p + 2. Let z be y(13). Which is the nearest to -1\/2? (a) z (b) 2 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 17.458. Let c = 234.25 + -235. Let v = c + j. What is v rounded to two decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*n + 236 + 1161 = -259 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5689.686s to milliseconds.\nAnswer: 5689686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g**3 - 1 + 15 - 4)*(-3*g + g + 4*g)*(-g - 42 + 42).\nAnswer: -14*g**5 - 20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27.2 + 19. Let h = l - -4.9. Let i = 3 + h. Which is the second smallest value? (a) i (b) 0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence elj when three letters picked without replacement from {l: 4, q: 4, e: 1, v: 1, j: 1}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 62*d + 22 + 12 + 51 - 117 + 5*d**4 wrt d.\nAnswer: 20*d**3 + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47 - -120. Suppose -2*j = -v - 37. Suppose 4*t = -t + j. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -5 + 12 + -5 + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + 15\/(-6))*-4. Solve l*g + 2 = 2*s, 4*g + 4*s - s = 17 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53.44 - 53. Let r = -2.44 + m. What is the third smallest value in 5, -0.03, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20190411.90000091 - -20190412. Let f = 2.9 - 3. Let o = v + f. Round o to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/6 + (-1 - -1). Let m be (-3)\/12*-4*(39 - 38). What is the fourth smallest value in t, 0.3, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.4 minus 299?\nAnswer: -293.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 496 and 682.\nAnswer: 5456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 + 1683*b - 27184.\nAnswer: (b - 16)*(b + 1699)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -3*q + 3*q**2 - 104 + 2*q + 52. Give t(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1278202083 - 5?\nAnswer: -1278202088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11210893 * -38\nAnswer: -426013934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 10*z**2 + 296*z - 1168. Calculate i(4).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*h - 12 = 0, 0 = -3*j + 6*j + 3*h - 12. Solve j = -4*z + 43 - 27 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 221*g**2 + 7317*g + 474. Give m(-33).\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 358826.62\nAnswer: -717653.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8141.765 litres to millilitres.\nAnswer: 8141765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2011 = i - b, -4023 = -4*i + 3*b. Suppose 3*n + 2*n = i. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96 - 89. Let d be (t - 12) + -2 + 41. Calculate the highest common divisor of d and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 30912196 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-14))\/(13435\/104793)?\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010 (base 2) in base 15?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*j = 92111 + 142905 + 334864. Which is greater: 4750 or j?\nAnswer: 4750","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -14. Let o = -79\/3 + 27. Which is the biggest value? (a) r (b) o (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/3 + 59927*r\/3 + 1615842.\nAnswer: (r + 81)*(r + 59846)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**5 - 10*w**4 + 12*w**3 + 10*w**2 - 11*w = 0 for w.\nAnswer: -11, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(0 + 2) - 5. Let k = x + 9. Suppose 2*s + k - 26 = 0. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s - 15 = -151 - 8 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r + 17. Let s be w(11). Let u(p) = p**2 - 4*p - 3. Let y be u(s). Suppose y = v - 5*k - 6, 3*v - 32 = 2*k. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/13 - (358577\/(-13416) + 27)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((4*5*sqrt(180) - (-2 + (5*sqrt(180))**2))*1 + 3)*-1.\nAnswer: -4495 + 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-3)*9\/6. Let g(s) = -s**3 - 37*s**2 + 120*s + 12. Let c be g(-40). Which is greater: r or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -0.07, 1, 7\/5, -4, 0.7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 5. Let w(b) = -3*b + 1. Let n(i) = -2*i. Let v(m) = -5*n(m) + 2*w(m). Is v(c) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2866714?\nAnswer: 2, 1433357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -504*b**3 + 3*b + 4. Calculate the least common multiple of l(-1) and 3.\nAnswer: 1515","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqqqvvqsvvvcvvqq. What is prob of picking 1 q and 1 v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jckjkkcmbtkkmt. Give prob of picking 1 k, 1 j, and 1 c.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32200 and 1046500?\nAnswer: 2093000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w - 13. Let a(p) = 5*p. Determine a(q(x)).\nAnswer: -10*x - 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1566 - 64?\nAnswer: -1652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -415*i**3*o**2 - 16*i**2*o**2 - 139*i**2*o - 14*i*o - 88926*o**2 wrt i?\nAnswer: -2490*i*o**2 - 32*o**2 - 278*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (-16)\/(-4) - -5. Let y be (j - 2)\/(-1) + 7. Suppose -588 = -2*q + 3*n - y*n, 2*q - 600 = 2*n. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21.54 - -1.54. Let z = 20.4 + x. Let m(k) = k**2 - 7*k + 2. Let p be m(6). What is the biggest value in p, z, -2\/11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - i + 155. Suppose 0 = 4*g - 3*v - i, v - 5 = -5*g - 2*v. Which is smaller: g or 6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - 0.6. Let a = d - -1. Suppose -11*r + 9 + 35 = 0. Sort -4, r, a in increasing order.\nAnswer: -4, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1767062)\/(-403) - 9\/(-39)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**7\/441 + 19*g**6\/315 - 17*g**5\/210 - 19*g**4\/126 + 2*g**3\/7 - 72*g. Suppose a(i) = 0. What is i?\nAnswer: -1, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b - b - 14*b - 11*b to the form i + v*b and give v.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 - o**3 + 5*o**3)*(0*o + o - 2*o)*((-2*o + 3*o + 0*o)*(3 - 5 + 1) - 16*o - 7*o + 9*o).\nAnswer: 30*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 188842 - 65150411\/345. Find the common denominator of v and -64\/759.\nAnswer: 3795","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -194*q. Let p(d) = 3711*d**2. Calculate t(p(g)).\nAnswer: -719934*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280 = -3*k - 271 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -609*v + 64 + 1465*v - 798*v - 478*v - 64.\nAnswer: -420*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d + 2*d = -560. Let g be d\/(-18) + (-6)\/27. Solve -2*j - v + 10 = g*j, -5*j = 4*v - 18 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 15*z**2 - 5*z - 37. Let q be x(15). Let i = 10 - q. List the prime factors of i.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*c*v - 5*c - v - 17 wrt v.\nAnswer: 11*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (36\/90)\/(18\/10). Which is the nearest to 0.3? (a) f (b) 2 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17529*b = 17527*b - 2*a + 7*a + 38, 2*a = -6*b - 22 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ulul when four letters picked without replacement from lluulll?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1 + 623*q**2 - 4 - 626*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-1) - (-17 + -2). Suppose n = 9*t - 4*t. Solve -t*h + d = 19, -2*d - 3*d - 15 = 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204 and 2023?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/9 + 3600032*r\/3 + 1620028800128.\nAnswer: 2*(r + 2700024)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 31042104 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 700364 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13846 + 13826. Sort -8, -0.5, 4, -2\/5, t in increasing order.\nAnswer: t, -8, -0.5, -2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92263 to the power of 1\/2, to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6575\/(-5))\/5 + -2. Let g = 286 + v. Solve -n + g = 6*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 375 and 165690?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-812)\/(-8))\/((-3)\/18). Let h be m\/(-35) - (-3)\/5. Let t = 54 - h. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 37 and 37 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 10. Let u(h) = -d - 24*h + 4*h - 8 + h. Let l be u(-8). What is the highest common divisor of l and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1868020 is divided by 204.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppthhpttttttpt. What is prob of sequence tth?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**2*k - 4*i**2 + i*k**3 - 886*k**3 wrt i.\nAnswer: 4*i*k - 8*i + k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**2 - 13*y + 7. Let n be -8 + (-1)\/(-3)*6. Let a be m(n). Let w = a + -5. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 r when two letters picked without replacement from {r: 1, q: 3, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (320 - 552 - 147)*(-1 + 1 + 2)*(-v + 0*v + 0*v)*(1 - 3 - 1) in the form c + h*v and give h.\nAnswer: -2274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (-5 - -55) + -3. Let a be (-3)\/((-1)\/(-4) + y\/(-36)). Solve 2*o + 5 + a = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -344256 != -344255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.1 - 10.8. Let h = 19 + f. What is the third biggest value in -0.03, h, 0.3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 4. Suppose 0 = -g - w. Let t be -5*g\/(-6)*-2. Solve 0 = -q - 0*c - c - 1, t*q = -c + 7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -i + 5. Suppose -i*t + 82 = 3*w, t + 5*w - 1 = 11. Is t < 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -231, 51, -62 in decreasing order.\nAnswer: 51, -62, -231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 490098811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -7*k + 73. Suppose -2*p = -4*p + 20. Calculate the lowest common multiple of 22 and d(p).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**3 + 93*k**2 - 528*k + 432 = 0. Calculate k.\nAnswer: -36, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*a + 3*l = -36, 18 = -4*a + 3*l. Let d = 3 - a. Suppose d = 2*f - 7. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + 369\/6)*2. Suppose -3*d + 8*d + 192 = 2*o, -3*d - 5*o - 109 = 0. Let g = u + d. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**4 - 69*w**3 + 145*w**2 - 266*w + 181. Let n(a) = -a**4 + 24*a**3 - 48*a**2 + 88*a - 60. Let f(c) = 11*n(c) + 4*v(c). Solve f(l) = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -8*h. Suppose h = -4*d + 35 + 25. Solve 2*r + r + d = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + 26 + (-92 - -18).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5510 + 1977 = -q, 0 = 4*q - 2*g - 14076. Suppose 0*a - 5*z + q = -2*a, a + 1778 = -4*z. Let l = 3613 + a. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 3*t - 11*t)*(-t + 0*t - t) + 0*t**2 + 2*t**2 + 0*t**2.\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 12 = 8*i + 4*n, i + 3*n = -15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3 - 8*f + 3*f + f**3 - 7*f**2 + 10*f**2 + 3 + 4*f**2. Let d be 2\/(-7) + (-572)\/(-91). Give h(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -0.1 (c) -5 (d) 26 (e) 86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 9*p**2 - 10*p - 47. Let r be y(6). Let g = -1 + 32. Calculate the greatest common factor of r and g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/19635 and -46\/255.\nAnswer: 19635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 15603 and 15606 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*(-3 + (sqrt(95) - -1*(sqrt(95) - -4*sqrt(95)))\/(sqrt(25)\/(sqrt(5) - sqrt(80)))))**2.\nAnswer: 1728*sqrt(19) + 98640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.02, 2\/9, -4\/7, 0.\nAnswer: -4\/7, 0, 0.02, 2\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 422\/4431 - (-6801)\/(-630) and 3\/(-74)*87\/9.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 11*j**2 + 10*j + 28. What is the units digit of l(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 161 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zaiieaqeo. What is prob of picking 1 q and 1 i?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7007, 6997, 6987?\nAnswer: 6977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 - 48 + 42 = -46*w. Suppose 7*f - 310 = 2*f. Calculate the highest common divisor of w and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 9, 25, 59, 117, 205, 329, 495?\nAnswer: 709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 740*j**5\/7 - 292294*j**4\/7 + 3706510*j**3\/7 - 13008728*j**2\/7 + 13462920*j\/7 + 110016\/7 = 0. Calculate j.\nAnswer: -3\/370, 2, 3, 8, 382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 243545 rounded to the nearest one thousand?\nAnswer: 244000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*l + 2754 = 5*w, w - 5*l - 1370 = 0. What are the prime factors of w?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 5 + 5)*(0 + 1 + 0)*(-3 + 0 + 6)*(8*l - 2*l + 0*l) in the form k*l + r and give k.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.4 - -13.39999854. What is i rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7039670 rounded to the nearest 100000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.67377646 to three dps.\nAnswer: 21.674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2. Let o = 69 - 72. Let x(l) = -156*l - 3. Let p(i) = -784*i - 16. Let s(h) = o*p(h) + 16*x(h). Calculate s(d(t)).\nAnswer: -144*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 285 and 418?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*o + o**3 - 3*o**3 - 45*o + o**2 - 2*o**4 in the form l*o**4 + i + z*o**2 + j*o + r*o**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 6 = 3*u, 293116*u = -3*q + 293109*u - 14 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7682.\nAnswer: 2, 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*i**3 + 4 - 11*i**4 + 3*i**4 - 2 - i**2 - 26*i**3 - 29*i**3 as t*i**2 + d*i**3 + s + k*i + q*i**4 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 389, 1086, 2247, 3872, 5961, 8514, 11531?\nAnswer: 15012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 996, 1422, 1882, 2394, 2976?\nAnswer: 3646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 - -145\/4. Let t = -6061 - -24241\/4. Sort -2, t, l in decreasing order.\nAnswer: l, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 30.74. Let n = p + -22.66. Round n to 0 decimal places.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 7*q**2 - 1. Suppose -61 - 159 = -5*g. Suppose n + 3*n = -g. Let t(f) = f + 10. Let m be t(n). Calculate s(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 4\/4574757?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -12*(12\/(-162))\/(12\/18). Put n, -0.1, 0.1, 1.8 in increasing order.\nAnswer: -0.1, 0.1, n, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 423\/(-33) - 12\/165*(-10)\/(-4)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (2 - (-1 - -3)). Suppose 4*d + 8 + 16 = r. Let w(f) = -f**3 - 6*f**2 - 5*f - 5. Is 12 a factor of w(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 1184*n**3 - 5*n**2 + 3*n + 25. Is b(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -9. Suppose 0*c + b*c - 3*s - 18 = 0, -c - 4 = 5*s. Calculate the least common multiple of c and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55488 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 61480 - 35663. List the prime factors of q.\nAnswer: 32381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 860.3591 millennia?\nAnswer: 86035.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23847.825 - 23640. Round n to the nearest ten.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 437726 + -386074159\/882. What is the common denominator of -101\/216 and p?\nAnswer: 10584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -331*u**6\/6 + 38*u**3\/3 + 571. Find the third derivative of m(k) wrt k.\nAnswer: -19860*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 - -33. Put -1\/4, -2\/7, o in descending order.\nAnswer: -1\/4, -2\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (1 - -1) - (-23 - -18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*f - 100. Suppose -5*b + f = -0*b. What are the prime factors of 26\/b + (-3)\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 4. Let i = n + 2. Suppose i*f - x = 58, 4 = -f - 7*x + 2*x. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 755*q**2 - 5140*q - 704. Calculate g(7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 8:39 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 9 = -5*z + 3*x, 2*z + 4*x = -6. What is the highest common divisor of z and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1049009465 divided by 5?\nAnswer: -209801893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, z: 1, j: 3, a: 5, p: 3}. Give prob of sequence xz.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1934062501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 2*m + 3*m - 33, -r = -m - 7. Solve r*b = 7*b + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 610548.\nAnswer: 2, 3, 83, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 319*o + 127. Let g(k) be the first derivative of 1281*k**2\/2 + 507*k + 63. Let w(j) = 2*g(j) - 9*s(j). What is the derivative of w(m) wrt m?\nAnswer: -309","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27922813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1327 less than or equal to -1331?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 102476.9 and -11.54648.\nAnswer: 102465.35352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvvb when four letters picked without replacement from bbbvvbbbbbv.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 6:41 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 9*k**2 - 6*k - 2. Suppose -15 = o - 4*o. Suppose 35 = o*b + g, -b + 17 = -3*g - 6. Does 7 divide l(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n + 21*n = q + 3, 0 = -2*n + 4*q + 6. Solve 8\/5*p**2 - 8\/5*p**n + 0 + 0*p + 2\/5*p**5 - 2\/5*p**4 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0, -3, 1\/978?\nAnswer: 1\/978","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**(-7)*x*x*x)\/x)\/x*x**(-16) assuming x is positive.\nAnswer: x**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/29 in -3, 4, -2, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 11*j - 6, 299*s - 300*s - 4*j + 9 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.1, 1\/7, 2\/20963?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b - 10. What is the units digit of a(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-0.24.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*x = -0*x + 28, -2*x = 4*v - 56. Suppose 3348*g - 169 = 3335*g. Which is greater: g or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**2 - 3035*m + 64350 = 0. What is m?\nAnswer: 22, 585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 271883612 to the power of 1\/4, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3\/r*r)**4 assuming r is positive.\nAnswer: r**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 5:44 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -428256*s**3 + 2235149*s + 2 wrt s.\nAnswer: -2569536*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) 0 (c) -1\/7 (d) -1 (e) 3\/8 (f) -0.3 (g) -3\/52\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*a + 49*a + 52*a - 107*a.\nAnswer: 21*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 8 = 2. Suppose 4*z - 3*v = 100, -5*z + 0*v + c*v + 132 = 0. What is the highest common factor of z and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.073 times -4?\nAnswer: -0.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*n + 37*n + 3*q + q + 10 = 0, 9 = -2*n - q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 3 + 2)*(0*q**4 - q**4 + 2*q**4) - 2*q**2 + q**4 + 2*q**2)*(-1 + 2*q + 1 + (-q - 2*q + 2*q)*(-5 + 4 + 3) - 3*q + 3*q + q + 1 - 1 + 15*q).\nAnswer: -16*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.17 times 0.6\nAnswer: -0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 21 - 39. Suppose 16*n = 21*n - l. Solve n*z + 2 = -10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(200)\/(sqrt(160) + sqrt(160) + (-2*sqrt(160) - sqrt(160))) + (1*sqrt(20) + 2 - sqrt(40)\/sqrt(18))))**2.\nAnswer: 120*sqrt(5) + 269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 338504?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35007.8 rounded to the nearest one hundred?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 766012 is divided by 255336.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**5\/8 + 442791*d**4\/8 - 442793*d**3\/4 + d**2\/4 + 885585*d\/8 - 442793\/8 = 0. Calculate d.\nAnswer: -442793, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f + 27 + 2*f**2 + 53 + 2*f. What is the units digit of p(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 336 (b) 6 (c) -249\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -17107732 (base 8) to base 14\nAnswer: -7545d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -60326, -241287, -542888, -965129, -1508010, -2171531, -2955692?\n\"Answer: -60320*t**2 - t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26733 divided by 6?\nAnswer: 8911\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16 - 934*j + 1867*j - 930*j + (-3 + 3 + 2)*(4*j + 3*j - 6*j).\nAnswer: 5*j + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4*sqrt(95)*3)\/(sqrt(55)\/(-1*sqrt(11))) + 2.\nAnswer: -12*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 23\/((-276)\/144)*(-21)\/(-9)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1573)*-2)**2 + -4 + 0.\nAnswer: 132*sqrt(13) + 6297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*a + 0 + 397*a + 1 + 3*a**2 + 2.\nAnswer: 3*a**2 + 508*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 688 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*n - 5997 = -364*n + 22669 + 34078 for n.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.1730377g?\nAnswer: 173.0377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1109.\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21581?\nAnswer: 7, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -m + 5*m + 16, 2*m + t + 8 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4233304041, -4233304042, -4233304043, -4233304044?\nAnswer: -4233304045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2 + sqrt(405) + sqrt(405) + 1.\nAnswer: 3 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 547659.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(57)\/(-1*sqrt(3)*-2) + ((5*-1*sqrt(19) - (sqrt(19) + -1)*4)*-5)**2.\nAnswer: -3599*sqrt(19)\/2 + 38875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -10*k + 5. Let d(s) = -s**3 + 5*s**2 - 5*s - 2. Let n be d(4). Let z be f(n). Suppose 6*c = c + z. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 5, 0, 0.03, -8, 1\/4 in descending order.\nAnswer: 5, 1\/4, 0.03, 0, -8, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20740336?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*u + u - 2*p, 0 = 5*p + 15. Let a(i) = -9*i - 32. Let l(q) = 25*q + 93. Let z(n) = -17*a(n) - 6*l(n). Give z(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 566128535 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -1\/3*t**4 - 2*t**2 - 1\/20*t**5 - 9*t - t**3 - 9. Suppose w = 5*k + 22, -2*k + 4*w - 4 = 12. What is d(k)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -291429058 and 24009?\nAnswer: 291453067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, p: 12}. Give prob of picking 1 k and 1 p.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 4)*(-4)\/8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rk when two letters picked without replacement from {k: 1, r: 1, f: 1, t: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11749\/10640 + -82\/95. Let s = 2351\/112 - f. What is the common denominator of (2616\/(-84))\/((-40)\/14) and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47412.\nAnswer: 2, 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 20 + 10 = 0. Let j(r) = 12903*r + 15. Let i be j(w). Round i to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29.22 times -0.1379\nAnswer: 4.029438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 47251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-176730)\/(-300) - 2\/20?\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wfp when three letters picked without replacement from {w: 7, p: 2, f: 1}.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -519, -503, -477, -441, -395, -339, -273?\n\"Answer: 5*x**2 + x - 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 100 = 5*t, 5*m = -t + 6 + 86. Let c be 83\/9 + (-4)\/m. Calculate the highest common factor of c and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 j when two letters picked without replacement from wwwwwwjjcjwc.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, r: 3, p: 13}. Give prob of picking 2 v.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -395*d**2*t**2 - t**2 + 65 wrt d?\nAnswer: -790*d*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5257.1 to the nearest ten.\nAnswer: -5260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-272 - 24 - 98 - 22 - 41)*(-9*s + 6 - 6) as l*s + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 20*v**3 + 90*v - 88. What is a(1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2. Let y(n) = 700*n. Calculate y(x(b)).\nAnswer: 1400*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/10)\/(1*2\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 u, and 1 d when four letters picked without replacement from {u: 1, q: 1, d: 5, n: 1, m: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -2. Suppose 0 = -11*r + 17*r. Solve i*u = -r*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 56 = -4. Put 7, -1, d in decreasing order.\nAnswer: 7, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5316206.\nAnswer: 2, 7, 17, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n*y + 169672*n + 151*y - 13155 with respect to n.\nAnswer: y + 169672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 3*l - 63, 2*o - 12*l + 11*l + 38 = 0. Let c(w) = w**3 + 18*w**2 + 5*w + 6. Let r be c(o). Calculate the highest common divisor of r and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 4*c**2 - 2. Let n be a(2). Let y(r) = -r + 3*r + 17 - r. What is the units digit of y(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-191*r - 3 + 2 + 187*r)*(108*r - 213*r + 103*r + 500).\nAnswer: 8*r**2 - 1998*r - 500","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*u**2 + 12*u**2 - 35*u**2.\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/5 + 14\/6. Sort -0.2, i, 0.2 in increasing order.\nAnswer: -0.2, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q - 71. What is f(-14)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 331656, 331715, 331882, 332211, 332756, 333571?\n\"Answer: 9*g**3 - 4*g + 331651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - n + 4. Let j = -5 + 8. Let c be x(j). Let u = -47616 + 47615.9. Which is smaller: u or c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = 86*c + 148 + 128 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 817 + -817. Solve v = -5*k + 9 - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21430 (base 5) in base 6?\nAnswer: -10522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 620\/9 + -69. Let g = 34\/9 + h. Is 4 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -335 - -214. Let x = i + 120.51. Round x to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*d**2 + 13*d - 44*d**2 + 12*d**2 - 3*d**3 in the form z + o*d**3 + a*d**2 + x*d and give x.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 430458 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60\/143 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 7*m**4\/3 + m**3\/6 - 1940*m. Let b(d) = d**3 - 4*d**2 + 4*d - 4. Let v be b(3). What is h(v)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x + x**3 - 4*x + (0*x**2 + 2*x**2 + 0*x**2)*(-2*x - 2 + 2) - 8 + 8 + 5*x**3 + 118*x**3 - 62*x**3 - 66*x**3.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101111110000000000 (base 2) to base 15.\nAnswer: 145e7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13036, -52263, -117642, -209173, -326856?\n\"Answer: -13076*f**2 + f + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - -5. Is (0 - -2)\/(2\/q) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -0*n + n, 4*n = -m. Suppose 6*f - 3*f - 11018484 = n. Suppose 0 = 3*t - f - 11627172. What is t rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - r**2 + r. Let z(l) = -27*l**3 - 18*l**2 + 18*l. Let m = -909 + 908. Determine m*z(q) + 18*f(q).\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32 or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 19. Let g = c - 4. Let v(b) = -1. Suppose 5*h - 1 = -a + 3, h + 4 = -5*a. Let f(t) = -t + 3. Determine g*v(s) + h*f(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.537648183 rounded to four dps?\nAnswer: 0.5376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33288988 or -33288987?\nAnswer: -33288987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*o - 5829516 = -67*o. List the prime factors of o.\nAnswer: 3, 7, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -9. Let u be 0\/(f\/8*-4). Let x(j) = -j - 6. Calculate x(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 5 (b) -16 (c) 4 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 11*j**2 - 13*j + 9. Let v(t) = 5*t**2 - 6*t + 4. Let s(y) = -y**3 + 3*y**2 + 4*y + 4. Let g be s(4). Let u(d) = g*r(d) - 9*v(d). Factor u(x).\nAnswer: -x*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/3)\/q)\/q)**(-2)\/(q*(q*q**(-13)*q)\/q*q**16) assuming q is positive.\nAnswer: q**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(240) + sqrt(15) + sqrt(15)))\/((sqrt(300)*-2 - sqrt(300)) + sqrt(300)).\nAnswer: 9*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-7) + 15570\/(-105). Let i = -135 - g. Calculate the smallest common multiple of i and 5.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 1. Let l be w(0). Let c = l + 7. Suppose -766 = -23*d - 421 + 667. What is the remainder when d is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 0.12, 43.55, -5, -54 in increasing order.\nAnswer: -54, -5, -1\/6, 0.12, 43.55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2491, 2913, 3647, 4693, 6051, 7721?\n\"Answer: 156*s**2 - 46*s + 2381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27724 + -27723.84819. Round t to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1572)\/(-228) + (-17)\/((-8075)\/50).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -14, 2.\nAnswer: -14, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*f - 39*f = -1897875 + 468885. Is f a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88869169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -2 + sqrt(19))*1)**2.\nAnswer: -14*sqrt(19) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -c**7\/420 - c**6\/240 + c**5\/40 + c**4\/6 + 5*c**2. Let r(o) be the second derivative of j(o). Let r(b) = 0. What is b?\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 75*c**2*u*w*x**3 - 129*c**2*u*x + 3*c**2*w - 14*c*u - 12391*c*w*x + 4*c*w - u*x**3 wrt c.\nAnswer: 150*u*w*x**3 - 258*u*x + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 19 - 1)*(-225 - 91 - 23)*(-1 + 1 + w).\nAnswer: -4746*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44875 divided by -1.\nAnswer: 44875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -150 (b) -5\/3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 109584 - 72794. What are the prime factors of x?\nAnswer: 2, 5, 13, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 167 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24.785 - -727932655.\nAnswer: 727932679.785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 309\/4 + -503\/4. Calculate the common denominator of 4\/(-6) + 76\/(-66) and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - -2)\/((-2)\/16). Let a be ((-954)\/33)\/(-6) + 6\/33. Suppose 48 = a*w + n. Solve -4*s + 2*r = -w, 2*s - 4 = 3*r - 7*r for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**3 + 662*n**2 + 7375*n + 18844 = 0?\nAnswer: -7, -4, 673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1012202002 (base 3) to base 5.\nAnswer: 1230440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*h = -10, 0 = -l + 3*l - 4*h - 14. Suppose 2*c + 4 = -4*v + 6*c, 30 = l*v + 2*c. Solve 5*s = -v + 9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-6))\/(1\/(-3)). Let q = -0.26 - 0.04. What is the closest to 0 in q, -0.2, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/12 and -1\/76?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*c + 14 = 234 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/9 + 1694792*p - 3231359913672.\nAnswer: -2*(p - 3813282)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39 - 16 - (24 - 1)) + 0 + 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9509766 and 698649.\nAnswer: 6783","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/112 and -33\/56.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1695 and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 4*y - 78. What is the remainder when y is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*p - 32 - 22. What is the nearest to -2 in p, -3\/8, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113826 is divided by 6236?\nAnswer: 1578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 280 (base 10) in base 3?\nAnswer: 101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-3\/8)*k)\/k)**(-6\/17) assuming k is positive.\nAnswer: k**(-33\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 242627 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, z: 17}. What is prob of picking 1 z and 1 l?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 102 = 4*g. Let k = 457\/9 + g. What is the closest to k in -1, -2\/3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 4*g**2 + 3*g + 3. Let z be h(-3). Suppose 0 = -z*y + 3*a, 2*y + y + a - 16 = 0. What is the remainder when y is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.064 + 0.064. What is the second biggest value in 30\/13, 1\/2, c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 478340 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14071.977 + -14072. Which is the second smallest value? (a) t (b) 0.3 (c) 2 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*-1*sqrt(104))\/(sqrt(96)\/(sqrt(48)*4)).\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -106*n + 2214. What is p(9)?\nAnswer: 1260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3317 + -19192?\nAnswer: -22509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 24 = -5*p, -1 + 7 = v + 3*p. What is the derivative of 0 - 11*y - 9 - v*y**3 + 11*y wrt y?\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -135943\/918 - -2548\/17. What is the common denominator of c and 2\/103?\nAnswer: 5562","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 4:28 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 3:15 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*o + 5*d = 2, 2*d - 2304 = -4*o - 2*d - 1193 - 1155 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/794 and -59\/36.\nAnswer: 14292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -12*p - 67. Let c be s(-11). Let o be (-10)\/c + (-790)\/(-65). Solve 15\/2*h**3 - 6*h - 9*h**2 - 3\/2*h**4 + o = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208432 = -37*t - 122222. What is the remainder when t is divided by 180?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/48 and -38\/37801.\nAnswer: 1814448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 350 divided by 70\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39 and 22?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 169*o**3\/6 + 4*o**2 - 8*o. Let l be m(3). Let s = l - 357. What are the prime factors of s?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 866 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 101 * -0.2\nAnswer: -20.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*6*(sqrt(17) + (sqrt(17) + 1)**2)*-2.\nAnswer: 360*sqrt(17) + 2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9646 + -9632. Let k(y) = -2*y**2 + 5*y - 5. Let j be k(5). Let a be j\/(-9) + 2\/3. Solve -3*r + a = 2*q + v, -3*r - 3*q - 9 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 10*p - 9. Let k be v(8). Let j(x) = -x**3 + 5*x**2 + 18*x - 8. What is the remainder when 617 is divided by j(k)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/117 - (-259)\/(-91))*(-146)\/(-30) + 15.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 2 - (1 + 17) - -9?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 208\/39 + (-1)\/3. Let b(i) = 2*i**3 + 3*i**2 + i + 7. Is b(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 17, 4, 621, 2.3, 2 in ascending order.\nAnswer: -4, -2, 2, 2.3, 4, 17, 621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 25*n + 20)*(5 - 4 - 2) - 5*n + 3*n + 0*n - n + 0*n + 3*n + (-n - 2*n + 4*n)*(1 + 4 - 3) - 3 + 3 + n - 2 + 2 + 2*n + (-4 + 1 + 1)*(-2 - n + 2).\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 6, -36 in decreasing order.\nAnswer: 6, -14, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 2, -2*u = 3*c + u - 270. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1421356.\nAnswer: 2, 355339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzw. Give prob of sequence zz.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 584, -5, 286 in ascending order.\nAnswer: -5, 2, 286, 584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(104)*-1 - sqrt(104)) - sqrt(104) - (sqrt(104) - (3*sqrt(104)*2 + sqrt(104))))\/(sqrt(48)\/(sqrt(42)\/sqrt(7)*3)).\nAnswer: 39*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 176, 40, -96?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - x - x + 5824 = 0, -4*x - 7732 = -4*h. What is the greatest common divisor of 408 and h?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 24 = -4*y + 8, -5*y - 3*a = -30. Suppose 0 = y*j + j - 184. Calculate the remainder when j is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.1 in 8, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 5:10 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -461.\nAnswer: 5\/461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-16)\/(-8))\/(-6)*-30. Solve 22*n = 24*n - h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-10))\/((-28)\/(-20) + 3)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(-1 + 95\/3). Let s = -735\/8 - f. Which is the closest to -1? (a) 0.1 (b) s (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -6016.1, 5.1 in decreasing order.\nAnswer: 5.1, -0.2, -6016.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36765\/11 + -3340. Calculate the common denominator of i and (1 - 3) + -1 - 45.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000083233 rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 - 27 = 10*t + 4*x, -5*x - 15 = 0 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 921120\/1497600 - 13\/390 - (-6)\/32.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 2, w: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 109 - 109.298. Let j = n - -7.548. What is j rounded to 1 dp?\nAnswer: 7.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 4*q + (14 - 2 - 3)*((0 + 4 - 2)*(-2*q + 2*q - q) + 0*q + 0*q - q).\nAnswer: -31*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -27*(-4)\/312*128\/(-288)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**2 - 1806*n - 10944 = 0. Calculate n.\nAnswer: -6, 608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omrmomxmmvxmjrm. Give prob of picking 2 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(3\/(-2) + 2). Suppose a*x = 4*x - 64. What is the remainder when (-6)\/((-24)\/250) - (-2)\/(-4) is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, 0, 6, -20, 328, 4, -4 in descending order.\nAnswer: 328, 84, 6, 4, 0, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 108\/(-10)*2*(-15)\/(-45). What is the nearest to -2 in 23\/4, u, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 1 + 10 + f - 5 - 16.\nAnswer: f - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 + 417\/24)*16?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbwfrwbwqq. Give prob of sequence wqq.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4156744 a multiple of 779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kekek.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -20222011210 (base 3) to base 12\nAnswer: -67479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 2694952\/4)*(10 + -4)\/18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 c, and 1 u when four letters picked without replacement from {o: 1, u: 1, c: 14}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 12 + 32 = 0. Let n(k) = -k**3 + 7*k**2 - 9*k - 1. Let h be n(q). Solve 0 = -g - 1, g = l + h - 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 7*f**2 - 20*f + 303. Is 57 a factor of b(60)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (1 + 1*sqrt(539) + sqrt(539) - (sqrt(396) + 2 + sqrt(396) + sqrt(11) + (sqrt(1331) - -3*sqrt(1331)))))**2.\nAnswer: 172*sqrt(11) + 20343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9 and 178.4?\nAnswer: 160.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 24*z**3 + 2*z**2 - 2*z + 1. Give w(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of n**4\/4 - 4*n**3\/3 - 3*n**2\/2 - 4*n - 9. Let v be y(5). Solve -5*i = 4*j + 4 + 8, v = -2*j - 2*i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Suppose 16*f - 66 = 126. Calculate the greatest common divisor of f and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66788546 by -33394273.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 5, 28709 in ascending order.\nAnswer: -9, 5, 28709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4659109 and 9373.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.855 greater than or equal to -81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - sqrt(19)*1)*5)**2 - (sqrt(190) - (sqrt(190) + sqrt(190)*-3 + sqrt(190)))\/sqrt(10).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 55\/2 of a kilogram?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4836 by 4.\nAnswer: 1209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 606, 2443, 5502, 9783, 15286?\nAnswer: 22011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 3*c + u, 5*c + 3*u - 100 = -2*u. What is the remainder when 94 is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -30155, -60433, -90709, -120983, -151255?\n\"Answer: h**2 - 30281*h + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 less than or equal to -229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 36*g**2 + 274*g + 930. What is k(-42)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*k**2 - 3*k**2 + 21*k**2.\nAnswer: -27*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 13. Let i be (290\/(-12))\/t*3*-2. Let o = 31 - i. Solve -2*p + o + 2 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*o - 3*w - 4, -4*w - 17 = 5*o. Let s = o - -3. Suppose 3*v = 0, 2*g - 5*g + s*v = -39. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001630420593 to six decimal places.\nAnswer: -0.000163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 271 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 633?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d29 - 7?\nAnswer: d22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 3*y + 5. Let p be j(-6). Suppose 3*a - h = 53, a = -4*h + 3*h + p. What is the second derivative of -7*b**2 + 0*b + a*b - 12*b wrt b?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**4 - 116964*d**3 + 116968*d**2.\nAnswer: -4*d**2*(d - 1)*(d + 29242)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -2 + 2)*(13 + -11). Calculate the greatest common divisor of p and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448743920 to the power of 1\/2, to the nearest integer?\nAnswer: 21184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6425194 and 572.\nAnswer: 1837605484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32534602 - 0.043.\nAnswer: -32534602.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t - 4*t + 1 + 5*t. Let z be (11\/(-2)*2)\/(2 + -1). Let u be (z + 4\/2)*1\/(-3). Determine q(u).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*7019.\nAnswer: 701.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(51)*-2*-1*-2)\/(sqrt(300)*-4 - (sqrt(432)*3 - sqrt(432))))**2.\nAnswer: 17\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 36 = -5*m, -105 = -5*a + 7*m - 2*m. Let u be a\/(-51) + (-1)\/(-3). Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-64)*(-4740)\/(-2765)*(-14)\/27?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34 - (-5053)\/(-186) - -8)*6.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71079 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 237\/(-3) + (3 - -6). Are j and -279\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(-3) + (-130)\/(-78))*4\/(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -224152 + -2?\nAnswer: -224154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 1. Let y(n) = -7*n**2 - n + 24. Give -3*q(z) - y(z).\nAnswer: 4*z**2 + z - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2037*m**3 + 3*m**2 - 7*m + 7. What is the units digit of s(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -15*(-4)\/3 + (2 - 4). Calculate the greatest common factor of f and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -182*(-14)\/(-1848) + 96\/176.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*c + 5610167 = -873833. What is c rounded to the nearest 1000?\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 9*k + 13. Suppose -44 = -d + 4*d - 5*j, -4*d + 5*j - 67 = 0. Let y = -10 - d. What is the remainder when t(4) is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*b + 10*b + 14*b - 2*b**2 - 3*b**5 + 37*b**3 + 45*b wrt b?\nAnswer: -180*b**2 + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 107\/5 + 28\/(-70). Let b be (-24 - 0) + 3 + 0. Let j = b + a. Solve 0 = -j*m + 2*m - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, v: 1, i: 7, n: 5, l: 3}. Give prob of sequence nnkv.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(120)\/(sqrt(10) - -1*sqrt(360)) - 6*((3*sqrt(216) + sqrt(216))\/sqrt(8))**2.\nAnswer: -2592 + 2*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1710 (base 8) to base 4.\nAnswer: 33020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*l**4 - 7*l**5 + 8*l**4 + (3 - 5 + 1)*(-2*l**5 - l**5 + l**5) - 7*l**5 - 6*l**5 - 6*l**5.\nAnswer: -24*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/(-10)*(-135)\/81. Let n = -0.5 + 0. Let v = -0.4 - n. Which is the closest to v? (a) -2\/3 (b) -2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5982*q**4 - 455*q - 3117*q**4 - 2997*q**4 wrt q?\nAnswer: -1584*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 7\/12*p**4 + 26 + p + 1\/30*p**6 - 4*p**2 + 19\/9*p**3 - 19\/30*p**5. Let l(v) = 0. What is v?\nAnswer: -1, 2\/3, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*c + 61*c = 55 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 64*m + 58. Calculate s(-59).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 783207 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63758508?\nAnswer: 2, 3, 11, 43, 47, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 7:00 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9071 + 8520 - 29661 = -142*k for k.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 171 + -194. Let a be 2\/(-3)*(-3)\/6. Does i = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/36*(3168\/(-200))\/22\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -c + 8. Let l be c\/5 - (-28)\/(-20). Let y be (l\/(-14))\/(3\/12). Which is greater: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -8*i. Let q(u) be the first derivative of u**5\/24 - 8*u**3\/3 + 2. Let x(w) be the third derivative of q(w). What is x(g(d))?\nAnswer: -40*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*u + 2*u = 185, 5*k + 220 = u. Round k to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16 + 20)*2\/(-22). Let a = -1 - -2. Which is bigger: i or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 2*j + 156. Let g be (4\/(-10))\/((-1)\/15). What are the prime factors of 1\/((g\/2)\/j)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 0*q**5 + 2 + 1\/6*q**3 - 1\/2*q**2 + 0*q + 1\/40*q**6 - 1\/24*q**4. Let o(l) be the second derivative of h(l). What is o(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-539)\/(61 + 16) + 34\/4.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2335 and 4?\nAnswer: 2339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -66 - 371?\nAnswer: -3d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*p - 97*p = 180 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -93)*(-3674)\/(-77) a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 105895 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -391 + 391.00097. What is j rounded to 5 decimal places?\nAnswer: 0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + 4*g - 4*g + 3*g - 6*g + 2*g + (-1 - 3 + 6)*(-4*g + 5*g - 2*g) + 3*g - 5*g + g + 4*g - 5*g - 2*g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64 (base 8) to base 10.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/((((w*w**(-1\/18))\/w)\/w)\/w))\/w**15)\/(w*w**(1\/8)*w*w*(w*w**(-1\/29))\/w))**(-1\/63) assuming w is positive.\nAnswer: w**(31393\/131544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 921*p - 157*p = 17572 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 1429816\nAnswer: -5\/714908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -6*f**2 + 2*f + 3. Let a(w) = -7*w**2 + 3*w + 4. Let c(l) = -5*a(l) + 6*t(l). What is c(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 147402*a**2 - 338815*a.\nAnswer: 294804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/5)*f**(-8)*f)\/((f\/(f**(-1)\/f))\/(f*f\/f**(2\/23))) assuming f is positive.\nAnswer: f**(-907\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**7*a*a)\/(a**1*a) assuming a is positive.\nAnswer: a**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**2. Let x(f) = 828*f**2. What is w(x(g))?\nAnswer: -2056752*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(21\/(-6))*1. Let p(s) = -13*s + 1 + 15*s + 6*s**2 - 3*s**t - 3. Let q(u) = 1. Determine -p(d) - 2*q(d).\nAnswer: -3*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -19*k + 9. Let b(o) = -o - 1. Let v(m) = 6*b(m) - q(m). Differentiate v(u) wrt u.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s + 13*s + 24*s - 83*s + 7*s.\nAnswer: -29*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -97425\nAnswer: -389700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.94 + -0.06. Put h, -2, 2 in ascending order.\nAnswer: -2, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 262*y**4 + 156*y**2 - 104520 wrt y.\nAnswer: 1048*y**3 + 312*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(((-1)\/(-4))\/(-19*(-140)\/6384)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-10) - 198\/(-180))\/((-11)\/(-770)). Let r be ((-2)\/4)\/(1\/(-212)). Is r != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -53?\nAnswer: -6\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in centuries?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -459.9292 + 0.0292. Let y = w - -460. What is the nearest to y in 2, 4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -3 (c) -18 (d) -2 (e) -5.9 (f) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/(-40) - -22*(-394)\/(-20). Suppose -n = -2*b + 1293, 3*b - n - 2370 = -d. What is the greatest common divisor of b and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 188*p**2 + 9*p + 15. What is the remainder when o(-3) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -334728000 to the nearest one million.\nAnswer: -335000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 8, 4*w - 63 + 5 = -t. Let k be (w\/(-4) - -3)\/3. What is the closest to k in 0.3, -1\/6, 0?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2202\/11 - -200. Let g = 1106 - 721. Let i be (-185)\/g + (-8)\/(-14). Put n, 1\/3, i, 3 in increasing order.\nAnswer: n, i, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 2*a + 1. Let i be x(-6). Let o be (-2 + (-46)\/3)\/(44\/(-66)). Let j = o + i. Solve -5*l + j + 7 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - 5) + (15 - 6 - -4) + 15.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 11*f - 26. Suppose 4*o + 42 = -5*h, 9*o - 4*o - 2*h + 36 = 0. Let p be s(o). What is the units digit of 18\/(-9)*83\/p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*((-1 + sqrt(1539) - sqrt(1539)) + -1))**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 1 = 10. Let v(z) = -z**2 - 3*z. Let n be v(k). Let f(w) = w**2 + 3. List the prime factors of f(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 9962 - 85*s**2 - 9881 + 4*s**2 + 999*s**3. Let b(l) = 25*l**3 - 2*l**2 + 2. Give -81*b(h) + 2*i(h).\nAnswer: -27*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150 + 2*r + 293 - 143.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1007 is divided by 171.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12531 - -125156?\nAnswer: 141020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - r - 2. Let f(q) = q**2 + 5*q - 17. Give -f(n) - 4*y(n).\nAnswer: 3*n**2 - n + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 0*b**3 + 0 + 0*b + 1\/18*b**4 - 27*b**2 + 1\/90*b**5. Factor a(z).\nAnswer: 2*z*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(((p\/p**(-9))\/p)\/p))\/(p*p\/p**(-13)))**(-2\/11)*(((p*p**2)\/p)\/((p\/p**(10\/9))\/p))**(-41) assuming p is positive.\nAnswer: p**(-1112\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2630315 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v + 2. Let q(c) = -6*c - 9. Let n be q(-2). What is m(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100 and 15150?\nAnswer: 30300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 39*h**2 + 139*h - 20. Let v be m(35). What is the closest to 0.1 in v, -0.1, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/1764, 2\/7, 2\/3, -0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*x, 0 = 11*d - 6*d - 3*x + 21. Let b(o) = o**3 + 5*o**2 - 4*o + 5. Calculate b(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7571923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*i**2 + 3*i**2 - 504*i**3 - 21*i**2.\nAnswer: -504*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 5*c + 2. Let h be i(-5). Suppose -5*v + h*z = z - 16, 2*z + 5 = v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2400 by 218.\nAnswer: 1200\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -23, 2?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 + 186. Suppose -2*t - 137 = -5*q + 75, t = 3*q - f. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -687*y**2. Let g(x) = 6817*x. Give a(g(s)).\nAnswer: -31925912943*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4 = 2. Solve u + i*u = 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1614 is divided by 484.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -99 or -106?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, c: 6, q: 2, o: 2}. What is prob of picking 1 c and 3 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 216*f**6 + 1334*f**4 - 1109*f**2 + 9200*f - 2 wrt f.\nAnswer: 25920*f**3 + 32016*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*sqrt(187)*-5)\/sqrt(11) + (sqrt(17) - (sqrt(119)\/(sqrt(21)\/sqrt(3)) - sqrt(17)) - (3 + sqrt(2057) + sqrt(2057) + sqrt(17)))**2.\nAnswer: 152*sqrt(17) + 8237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1189.3, -2\/13, 154?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 2*q**7\/35 + q**6\/40 - 7*q**5\/20 - q**4\/8 + 3*q**3\/2 - 6*q**2 - 5*q. Factor f(a).\nAnswer: 3*(a - 1)*(a + 1)**2*(4*a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33301846 is divided by 79?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -274 - -267. Let v = 15\/26 - 1\/13. Which is the biggest value? (a) v (b) o (c) -0.4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/8 (b) 5\/3 (c) 20 (d) -3 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -490.93 - -491. Which is the second smallest value? (a) -1\/2 (b) 13 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 15. Let t = -11.153 - -10.753. Which is the smallest value? (a) t (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6*b**3 - 4*b**2 + 4*b - 3. Let c = -3 + 7. Let h be (12\/c - -1) + 1. Is o(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 226 = 2*u, 3*q - u - 162 = -2*u. Suppose -2*t = g + g - 38, -2*g = 3*t - q. What is the greatest common divisor of 17 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 5766\/21679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-30)*(-975)\/585\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2. Let t be (2\/10*-1)\/((-18)\/210). Let b(j) be the second derivative of -t*j**3 + 6*j + 0*j**2 + 0. Calculate b(y(r)).\nAnswer: -28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -38*l**2 - 5*l - 6. Let r be w(-2). Let z be r\/(-18) - 16\/72. Suppose 4*u**2 - 6*u - z*u - 2*u + 8*u = 0. What is u?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 8*n - 3*m + 18 = 0, -3*m = n. Sort 1, n, 4, -5 in decreasing order.\nAnswer: 4, 1, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 + 72*v**2 + 252*v + 240.\nAnswer: 3*(v + 2)**2*(v + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a + 5. Determine c(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -23*y + 95. Is f(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**2\/21 - 1027232*d\/21 + 342410\/7 = 0.\nAnswer: 1, 513615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46)\/110 + (1 - 26\/22).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q = -183 + 135. Let g = -4 + 3.95. What is the closest to q in -2\/11, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(20) - sqrt(5)*-1*5.\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(8\/34)*4 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16.9 + -19. Let w = 422.07 + -424. Let h = w - p. What is h rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + n - 4)*(4 - 4 - 1) - 2307*n + 1620*n - 3192*n - 1917*n - 1091*n - 2.\nAnswer: -6888*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 26. Let b be 5*(4 - (-156)\/r). Let j be -1 - -2 - (b + 9). Calculate the highest common divisor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*o + 226, 7*f + 296 = 4*o + 3*f. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33*c**4 - 78*c**3 + 35*c + 2600780 with respect to c.\nAnswer: -132*c**3 - 234*c**2 + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2847690294 to the power of 1\/2, to the nearest integer?\nAnswer: 53364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2415 and 555?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21413 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1 + sqrt(72).\nAnswer: -2 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/111 and 6\/6682237.\nAnswer: 20046711","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2625.8844s?\nAnswer: 43.76474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 424861983*h. Let c(i) = 3*i. Give c(u(k)).\nAnswer: 1274585949*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 9*p - 10. Let l be v(-7). Let i be 1566\/(-99) + l\/(-22). What is the tens digit of (i\/12)\/(3\/(-117))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 143 - 114. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1242?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.2919 to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37774\/(-6868))\/(4\/(-3)).\nAnswer: 33\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3445775487.\nAnswer: 3, 7, 11, 193, 25763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - 14\/4*172\/(-86).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xtxkhtt. What is prob of sequence kxt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -2 (c) 0.2 (d) 541\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/212 and -123\/1060?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 5*o**2 + o + 7. Let l be f(-5). Let r(x) = 3*x**2 - 6*x + 6. Let w be r(l). Let v be 4\/w - 48\/108. What is the nearest to -1 in v, -3, 22?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/5, -3, -2\/3, 7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cogucoguoumo. What is prob of sequence mc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*f + 76723 = 30031. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 5*o**2 - 81*o - 27. What is g(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 15) to base 12\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 522457*i**3 + 516793*i**3 - 1039244*i**3.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(243) - sqrt(243)*1*1) + (sqrt(243) - (0 + sqrt(243) + -2)) + sqrt(243))*-5)**2 + 5.\nAnswer: 900*sqrt(3) + 6180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216342 divided by 12019.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 14.7, -2, -87, -0.2, 1, 113?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1046, -1038, -1028, -1016, -1002, -986, -968?\n\"Answer: x**2 + 5*x - 1052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2569 - 20439\/8. Let h = q + -14. Sort -2, 2, h in decreasing order.\nAnswer: 2, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 14 - 14. Solve 3*j + 17 = -5*p, n*j = -p + 3*j for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/21, -5, -3798, 2?\nAnswer: -3798","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2745 + -1151. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: a1 (base 15) to base 7\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8797579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-18)*3*0. Let p = 6 - 3. Suppose p*h = -5*x + 1 - 14, -3*x - 27 = -3*h. Sort h, z, -2 in descending order.\nAnswer: h, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18\/63 - 4252\/(-14) is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-12) - 62\/(-8). Let v = 12 - j. Solve 20 = -4*c + 5*l - v*l, -4*c - 24 = -2*l for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(456)\/(sqrt(24)\/sqrt(2)))\/(sqrt(18)*-1*-2).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -28, -33, -42, -55, -72, -93, -118?\n\"Answer: -2*d**2 + d - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d**2 - 2*d - 2. Let o(m) = -3*m**2 + 2*m + 1. Let x(v) = -2*i(v) - 3*o(v). Let j be (5\/(-1))\/(3\/(-6)). Let w = -7 + j. Calculate x(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(960) + 1*sqrt(960))\/(sqrt(108)*5)*5)**2*2.\nAnswer: 640\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + n + 4 = 5, 4*f + 2 = 2*n for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92878.\nAnswer: 2, 46439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 261397?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 10\/8 + -2. Let n = 0.002 + 0.298. Let g = -0.44 - -0.04. Which is the nearest to k? (a) n (b) g (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**3 - 14*j**2 - j + 5. Let q(m) = 5*m**3 + 41*m**2 + 2*m - 14. Calculate 3*q(a) + 8*s(a).\nAnswer: -a**3 + 11*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 15, -4*m = 5*i - 20 - 10. Suppose -2*a + 4 = -4*a, -5*j + i*a = 231. Let g = -10 - j. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d = -20*d + 3. Solve 2*f = 3*f + d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4164, 4165, 4166, 4167?\n\"Answer: g + 4163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41907 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290157 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -1120000?\nAnswer: 1120011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3200) + 1)*5.\nAnswer: 5 + 200*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + a + 2. Let o be x(0). Suppose -12 = -o*i - i. Solve i*u = 5*m + 16, -2*u - 2 = -0*u for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 152*q**3 + 14*q - 65*q**3 + 10*q - 23*q to the form p*q + j*q**3 + k*q**2 + w and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -170*y + 338*y - 161*y - 4*y**2 to the form a*y**2 + j + b*y and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.060914, -3, 5, 6?\nAnswer: -0.060914","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -14 (b) 0.15 (c) -4.3211\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*g**4 + 8489*g**3 - 221*g**2 - 1370?\nAnswer: 528*g + 50934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206681?\nAnswer: 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 264017022?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 32*g. Let k(t) = -t - 4*t + 10*t + 25 + t - 5*t. Calculate k(g).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -598610 divided by 62\nAnswer: -9655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 = -34*s + 58 - 18. Let r = 0.2 - 0.3. What is the closest to -1\/2 in 1, r, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -1235636?\nAnswer: 1235634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 525925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i - 2*i**2 - 9 - 3*i**2 + 6*i**2. Let u be t(8). Solve -2*q + u = -r - 4*r, 0 = r + 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*l - 814 + 814)*(-l - l + 0*l)*(14*l**2 - 9*l**2 - 9*l**2).\nAnswer: -184*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91 and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -12886*x + 45 + 1764*x + 306*x - 100 + 38. Is b(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*a - 5*q, -25*a - 3*q = -22*a - 27. Sort 3, -1, -11, a in descending order.\nAnswer: a, 3, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34212 + 34?\nAnswer: 34301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11878455.\nAnswer: 3, 5, 791897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of 1\/2*u**2 + 2*u + 3\/2*u**3 - 1\/24*u**4 + 0. Let k(h) be the first derivative of n(h). What is k(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1885 and 715?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o**2 + 5*o**2 + 10*o**2 - 7*o**2 to g + h*o + j*o**2 and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2646992.26 rounded to the nearest one hundred thousand?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**4 - 7309886*s**3 + 75064231*s**2 wrt s?\nAnswer: -24*s - 43859316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 539748.7 milligrams?\nAnswer: 539.7487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/4)\/w)**(-1\/44)\/((w*w*w**(-5\/4)*w)\/(w*w*w\/((w\/(w**8\/w))\/w)*w*w)) assuming w is positive.\nAnswer: w**(1811\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + 3*((2 + -1*sqrt(272))**2 + ((-1 + sqrt(272))*4)**2).\nAnswer: -432*sqrt(17) + 13936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10172, -20342, -30512, -40682, -50852, -61022?\nAnswer: -71192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3\/4)*t*(t**(-3\/4)*t)\/t)**9)**(-43) assuming t is positive.\nAnswer: t**(387\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.83 - 0.07. Let w = -12 - g. Let d = -4 - w. Is d > -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63635*z + 63625*z - 127254*z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -4*b**3\/5 - 11004*b**2 - 220032*b\/5 - 220016\/5 = 0.\nAnswer: -13751, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 237466.94 - -48.04504\nAnswer: 237514.98504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 - 3*v - 4*v - 4*v**3 - v**2 + 28 + 2*v**2 - 49 to n*v + q + s*v**2 + g*v**3 and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 900240 and 54734592.\nAnswer: 273672960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) -0.8 (c) 152 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -350 and -2.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21337.\nAnswer: 19, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.17 in 0.17, -3\/7, -81?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + sqrt(2) + 0.\nAnswer: -1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 2\/19, -2\/7, 1\/3, 1.76, -4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2 + 7*s + 8. Let y be j(6). Let m = 27 + y. Let u be (1 + 7)*m\/10. Put u, 0.2, 1 in descending order.\nAnswer: u, 1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 76880.25 to the nearest one hundred.\nAnswer: 76900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52441?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*p**4 + 0*p**4 - p**4 + (6*p - 2*p - 6*p)*(-2*p**3 - p**3 + 2*p**3) as o + g*p**4 + x*p + n*p**3 + f*p**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -a5?\nAnswer: a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.7 - 10.7. What is the closest to b in -6, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -54974 and -0.2191.\nAnswer: -54974.2191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -25. Let g = 234073 - 234068. Which is smaller: g or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1488, 2976, 4464, 5952, 7440, 8928?\nAnswer: 10416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 186*u + 563. Let b be l(-3). Let v be -2*(-3)\/18*9. Suppose b*h + 18 = v. Let o(s) = s**2 + 1. Let m(z) = 2*z**2 + 1. Calculate h*o(y) + 3*m(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -67.582912 to one dp.\nAnswer: -67.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 157 + -84. Suppose -152 - w = -5*d. What is the tens digit of 1773\/d - (-4)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**2 + 2*o**2 - o**2 + o**2 + 5*o**2 - 4*o**2 + (5*o - 5*o - 2*o)*(-8*o + 0*o + 6*o).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -5*l**2 - 19660*l + 19665 = 0.\nAnswer: -3933, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2420165.40419 + -2418892.41. Let u = 1273 - y. Round u to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ggpgffffggfgtg?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204 + (-301 - -122) + 51.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.3 - 0.7. Suppose 10 = -0*y + 5*y. Suppose -6 = 4*f + t, -t + 12 = -3*f + y*t. Which is the nearest to 2? (a) 2\/9 (b) w (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 - 1001110100000?\nAnswer: -1001110101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1592 + 1601. Sort -3, g, 0.05, -0.2 in increasing order.\nAnswer: -3, -0.2, 0.05, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459164516.\nAnswer: 2, 9011, 12739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - u**2 - 7*u - 42. Give q(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*32\/264*(-75)\/(-4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - y = -140. Let n be (-18)\/63 + 11\/y. Suppose -o + m = -1, -o + m - 6*m + 1 = 0. Which is the third biggest value? (a) n (b) -0.4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3788629823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, r: 1, y: 1, f: 3, s: 11}. Give prob of sequence ruu.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16619 is divided by 216?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (15 - (33 + -9)) + 1 + -2\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a meter in millimeters?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 477677 is divided by 65.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137666?\nAnswer: 2, 17, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29594?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from icsowps. Give prob of sequence owsp.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 9:19 PM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 6*t**3 - t**2 - 4*t - 9. Is 9 a factor of r(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -2 + -4 + 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7659688 or -137874385\/18?\nAnswer: -137874385\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-16) + -3 + (-54)\/(-8). Solve a = -a - f for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 4*x + 0*x)*(2 + 2*x**2 - 2) - 3*x**2 + x**3 + 3*x**2 + (0 - 2 - 4)*(x**3 + x**3 - x**3).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -672.\nAnswer: -5\/672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5873 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**2 + 2*n**2 - 4 - n + 2*n + n**2. Let w be l(-3). Sort 0, w, 5.\nAnswer: 0, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 187 and 36.1.\nAnswer: 6750.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 5*t**8\/2352 - 2*t**7\/245 + 3*t**6\/280 - t**5\/210 + 10*t**2. Let g(q) = 0. What is q?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -78\/1087?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rhcr when four letters picked without replacement from ccchrrrrgcggerg.\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**2 - 32*f - 67. Determine l(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 909 - 6?\nAnswer: 903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqpqpgp. Give prob of sequence gqp.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*o + 9 = 0, 5*l = 4*o - 11 - 1. Solve -a + 6*a = l for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 60783611 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233*y - 231*y - 26 = 0. Solve 4*u + 3*w - y = 0, -u + 2*u + 1 = -5*w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1148.5303414 and 0.81.\nAnswer: 1149.3403414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 175\/(-35) + (-21)\/(-4). Which is smaller: 30.5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 * 12296879.1.\nAnswer: -122968.791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1965806190?\nAnswer: 2, 3, 5, 89, 245419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11011210 + -112110210120?\nAnswer: -112121222100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (13\/78*(-3 - -13))\/(30\/72). Solve f*h - 23*v + 16 = -26*v, 0 = 4*v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 80*h**2 - 235*h - 883. Determine q(-77).\nAnswer: -575","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71.5 - -73. Let k = h - 1.2. What is the third smallest value in -8\/3, 2\/11, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/sqrt(648) + -5.\nAnswer: -5 + sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-45)\/(-6) - 7\/(-14). Which is greater: 6 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -189.3937 - -190. Round g to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.61 less than 18074?\nAnswer: 18072.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2 + 84*o**4 - 2*o**6 + o**2 - 49*o**4 - 42*o**4 wrt o.\nAnswer: -240*o**3 - 168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**2\/2 + 60*k - 126 = 0. What is k?\nAnswer: -42, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 a when three letters picked without replacement from {t: 2, a: 6}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 484950.48 days to weeks.\nAnswer: 69278.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(3) + (1*sqrt(30))\/sqrt(10) + sqrt(3))) + (sqrt(9)\/sqrt(3) - sqrt(3)) + 4 - ((sqrt(120)\/sqrt(10))\/sqrt(4) + -4))**2.\nAnswer: -48*sqrt(3) + 91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 2. Let q be -2 + (-20)\/(-280)*7. Which is the closest to -1\/12? (a) f (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15210\/(-312) - (-1)\/((-8)\/(-6)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -269, -433, -873, -1727, -3133?\n\"Answer: -23*h**3 - 3*h - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -358290 divided by -6.\nAnswer: 59715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4*-0.204\nAnswer: 0.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -8*g - 9. Determine z(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 177878927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16374161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 1:35 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 462752 divided by -100\nAnswer: -115688\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -382, -630, -1310, -2638, -4830, -8102?\n\"Answer: -36*s**3 + 4*s - 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 5773113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by 49.\nAnswer: 23\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -51*o + 686. Let x be s(20). Are x and -1676\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109822582 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 540*a - 6 + 1.\nAnswer: 540*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -4*h + 1671 + 3449, -5*h + 5*f + 6400 = 0. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 + -6. What is t rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 5:09 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x - 1 + 4 - 2. Let w(p) = -4*p + 7. Suppose 6*r + 18*r + 1296 = 0. Let s = r + 53. Give s*w(v) + 5*t(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5295978 is divided by 2872?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/16 + (-5)\/20. Let n be (48\/56)\/(u\/28). Put -2, n, -1\/2 in decreasing order.\nAnswer: -1\/2, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*a*v**3 - 9*a*v**2 + a*v - 611*a + 517993*v**3 - v with respect to a.\nAnswer: -4*v**3 - 9*v**2 + v - 611","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 59*a**2 - 11*a + 2060. Let m(c) = -37*c**2 + 7*c - 1373. Determine 8*m(k) + 5*v(k).\nAnswer: -k**2 + k - 684","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b = 8*b. Let m(f) = f**2 + f + 4. Let a be m(0). Solve a*c + 4 + 8 = b for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6427411889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 620421413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 6*v**2 - 6*v + 54. Let d be t(11). Let w = d - 354. Is 47 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*d - 24*d - 416 = 0. What is the greatest common divisor of d and 806?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y + 5872 - 5704 = 0 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-6)*10\/(-1). Let c(x) = 7*x**3 - 4*x**2 + 3*x + 5. Let m(o) = -4*o**3 + 2*o**2 - o - 3. Suppose 4*r - 1128 = 24*r - 1068. Give h*m(j) + r*c(j).\nAnswer: -j**3 + 2*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -30 - d0abb?\nAnswer: -d0aeb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 585, -485, -1557, -2631, -3707?\n\"Answer: -z**2 - 1067*z + 1653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nhnhnhhnnhhnnnhhhnhh.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**4 + 3*i**4 - 5*i**4 + 2*i**4 + 3*i**2 - 3*i**2 + (-4*i + i - 5*i)*(-33*i**3 + 580*i**2 - 580*i**2).\nAnswer: 262*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 110.7?\nAnswer: 113.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 196 = -3*a + 2*i, 0 = 2*i + 2. Let r = 0 - -4. What is the derivative of -10*x**3 + 14 + a*x**3 - r*x**3 wrt x?\nAnswer: 150*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 6*m**2 + m + 1. Let w = -23646 - -23652. Let l(b) = -1 - 6*b**2 - 2*b**2 + b**2. What is w*q(g) + 5*l(g)?\nAnswer: g**2 + 6*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 - 3*x + 2. Let h be t(2). Suppose -3*c + c = -h. Let v = -2\/653 - 637\/5224. What is the second smallest value in 0, c, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 98 and 8638?\nAnswer: 60466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2533, 5296, 8059?\nAnswer: 10822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1066386910 to the power of 1\/3, to the nearest integer?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-42)\/4)\/(6\/(-12)). Let w = -9 + x. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(3\/(-3) + 20). Let s be -10*(1 + (-2 - 2)). Suppose z = o - s. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4273756459 take away -84563?\nAnswer: -4273671896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 50212872881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.4 - 2.3. Let b be (12\/(-3) + -4)\/((-6)\/(-3)). Let j be (b\/16*1)\/(2\/1). What is the biggest value in j, g, -1\/6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -280 divided by 5499.\nAnswer: -280\/5499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y**2. Let l(s) = 42 - 3*s - 42. Give l(x(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -275\/4, -1\/735, 0, 2, 6\/5 in decreasing order.\nAnswer: 2, 6\/5, 0, -1\/735, -275\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -662 - -38. Let m = w - -641. Solve 5*h + m = -3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1212 - -0.001.\nAnswer: -1211.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 28820 + 184640 = -27131. List the prime factors of j.\nAnswer: 3, 31, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + y = -106, -2*y + 3*y = -4. Let u be (a + -2)*11\/3. Let x be 6\/(-15) + u\/(-30). Solve -2*f = -x - 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 316862 and 1573?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 64*x + 3. Let f = -26 + 23. Let l(k) = 2*k + 7. Let o be l(f). What is the units digit of y(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*q - 148*q + 19*q**3 - 155*q - 144*q + 632*q.\nAnswer: 19*q**3 + 34*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b - 3. Let f(o) = o - 3. Let s(u) = -6*f(u) + 5*t(u). Let n be s(-7). Solve 4 - n = -2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = -3*s - 35. Let l(c) = -485*c**3. Let a be l(1). Let h = s - a. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*o = -4, -t - 35 = -5*o - 12. Suppose t*u = 16 + 152. Does 27 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-12))\/(1\/(-36)). Let m be (2\/4)\/((-1)\/d). Let l be m\/(-7) + (-18)\/63. Let n(i) = -2*i**2 + 2. Determine n(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 958377 is divided by 45618.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 71550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in -32, 2, 22\/81?\nAnswer: 22\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 6657179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 134667?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + sqrt(45) + sqrt(45) + (-2*sqrt(90) - sqrt(90))\/sqrt(2) + 1 + sqrt(3645) + sqrt(3645))**2*3*-1.\nAnswer: -43743 - 324*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t - 16 = -5*d - 22*t, -17*d + t = 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5323520, -10647044, -15970572, -21294104?\nAnswer: -26617640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.68 (b) 5 (c) -3 (d) -2 (e) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 5*v**2 - v - 2. Suppose -g = -28 + 33. Let a be y(g). Suppose 0*t - 3 = -a*t. Calculate the least common multiple of 15 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51220171?\nAnswer: 97, 528043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, h: 19}. What is prob of picking 1 w and 3 h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 7) + -2 - 8?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 1\/16*g**3 + 0 - 14*g + 1\/32*g**4 + 1\/16*g**2 + 1\/160*g**5. Factor z(s).\nAnswer: (s + 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 6*k**2 - k + 6. Suppose -4*t - 32 = 4*c, 0 = -4*t + 5 - 13. Calculate the smallest common multiple of u(c) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1474848104.\nAnswer: 2, 184356013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 1112012110?\nAnswer: -1112012112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**5\/5 + 1049*k**4\/5 + 70*k**3 = 0. Calculate k.\nAnswer: -1\/3, 0, 350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + -33 - (-3)\/(-1). Let t be (42 + -2)\/(-4)*w\/6. Suppose -4*q = -3*v + t, -v = 2*q - 4 - 1. What is the highest common factor of v and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0, 7911, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 736 is divided by 61.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 914280 and 372.\nAnswer: 28342680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -5. Suppose 5*n + 103 = y*k + 3, 4*n = -2*k + 28. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 10 - (2 + -1). Suppose 0 = 2*v - 5*y + 82, 6*y - i*y + 196 = -4*v. Let c = -31 - v. Solve -3*a + c = 2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -98*h + 14. What is z(2)?\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -48, -98, -156, -216, -272?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 12*j - j + 17 - 10*j. Let x be k(-13). Let v(c) = -c**3 + 5*c**2 - 7. Does 9 divide v(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18388*t**2 - 8870*t**2 - 8989*t**2.\nAnswer: 529*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v + 6*v**2 - 107*v**3 - 9*v.\nAnswer: -107*v**3 + 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 785 and 1100.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-2 + 2 + 12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 769651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69 - 65. Sort w, -5, -4, -1 in descending order.\nAnswer: w, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**4\/3 - 1093*p**3 + 879988*p**2 + 78740324*p\/3 + 164142960 = 0.\nAnswer: -20, -9, 1654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*b**6 + 10*b**4 - 1343*b**2.\nAnswer: 720*b**3 + 240*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/(2\/3*588\/2646)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250723 - 18076 = -42*r + 287449. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 16*m**2 + 54*m - 30. Let n be r(-19). Solve n = 2*y + 33 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.3 (b) -2 (c) 937\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oqh when three letters picked without replacement from oqhmthhqohhoothh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 727 is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104*f*p**3 + 1461*f*p**2*s + 129704*f*p + 2*p**3*s - 2*p*s + 2*s wrt p.\nAnswer: -624*f*p + 2922*f*s + 12*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence thh when three letters picked without replacement from {t: 1, h: 2, n: 2, b: 1, v: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74800 and 550.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -5. Suppose -5*z - 13 = -3, -2*z + 4 = -o*r. Let g(x) = x**2 + 3*x - 2. Calculate g(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 99808051?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 467 and -4328.\nAnswer: -2021176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17335 divided by -5.\nAnswer: -3467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) -0.3 (c) -9 (d) -255\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.087 - -5.367. Let v = y + -1.28. Let k = -124 + 124. Put -2, v, k, -0.4 in increasing order.\nAnswer: -2, -0.4, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1632*b - 152*b - 99434 = 282*b for b.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1557804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 4*x**2 + 889*x - 218. Give p(-32).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(5\/3)\/r)\/(r**(-3)\/r*r))\/(r\/r**(3\/4)*r*r*r*r**1*r))**(-26))**42 assuming r is positive.\nAnswer: r**1729","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91 - -485. Is m a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5409, -43524, -146989, -348480, -680673, -1176244, -1867869?\nAnswer: -2788224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 798534271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -2*t**3 - 2*t**2 - 2*t - 1. What is j(-2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 714461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*n*o**2 - 4*n*o*x + 3*n*x + 1950*n - o**2*x + 2*o*x + x wrt x?\nAnswer: -4*n*o + 3*n - o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + sqrt(245) + (sqrt(245) + (sqrt(245) + -2)**2 - sqrt(245) - sqrt(245)) + 4 + -3 + ((-2 + sqrt(245)*-1)**2 - sqrt(245))).\nAnswer: -14*sqrt(5) + 996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 0.071228?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k - k + k + (7 - 14 - 5)*(-2 + 3*k + 2) - 3*k - 9*k + k to l + z*k and give z.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 6:23 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or 438539?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25.9*-5.\nAnswer: -129.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 5) to base 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3748*l + 106095. What is v(28)?\nAnswer: 1151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -312, 3, 4, 782 in ascending order.\nAnswer: -312, 3, 4, 782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 + -205. Suppose 794 = 2*s - 100. Let n = s + c. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qpqppyyfyhyypyqxpqxq. What is prob of sequence qqyf?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/46632 and 59\/32.\nAnswer: 186528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491*s = 8*a - 486*s - 248, 155 = 4*a + a - 2*s for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20.93 - -21. Let m = -2.07 + u. Let b = 8 + -7.5. What is the smallest value in -5, b, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*b = -116, -2*g + 6*g - 498 = -5*b. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 5*y = -4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*q + q. Put -4, -0.4, q in decreasing order.\nAnswer: q, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4882.990038 to the nearest ten.\nAnswer: 4880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 b when two letters picked without replacement from {x: 2, b: 3, w: 3, k: 5}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*y - 1\/3*y**2 + 1\/3*y**3 + 0.\nAnswer: y**2*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-110)*(-20)\/(-54)*-3*(-10395)\/17325.\nAnswer: -2\/165","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q + 588 = 24*q + 11*q. Solve q = -5*j + 8, -j - 3 = h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(2 + -4) + 3. Suppose 5 - 11 = -o*q. Suppose -6*y = -y + p + 214997, q*y - 3*p = -86009. What is y rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 25*r**2 - 1974*r + 38511. What is k(19)?\nAnswer: -1161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-2 + -4 - (-101 - -98)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28853 divided by 28853.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -1860*l - 757020. Determine c(-407).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.237 and 20?\nAnswer: 19.763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21801 = -16*y + 11543. Does 18 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**3 - 22*m**2 + 4. Let z = 26 - 11. Suppose -z*c = -12*c - 33. Let l be x(c). Solve -4*i + 3*r + 14 = -l, i + 5 = -4*r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 4\/65 (b) -0.21 (c) -1 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0.03, 1, 5, 4\/9, -23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 10 + 5, 5*t = -5*y + 35. What is the nearest to 0 in -0.1, 0.3, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 711 + 6*g**3 - 711 + 24*g**3.\nAnswer: 30*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57170132 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 1712*r**2 + 2*r - 17. Let c(d) = -3422*d**2 - 4*d + 38. What is -4*c(w) - 9*g(w)?\nAnswer: -1720*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*i - 6*i = -31, 0 = -4*l + 5*i - 80. Suppose -4*f = 4*j + 12, -9*j + 10*j - 4*f = -13. Which is the nearest to 0.1? (a) l (b) 4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9781?\nAnswer: 9781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqgqgg. Give prob of picking 2 g.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-114)\/(-95)*10\/(-4) + (-1183)\/(-98)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 6*r = -322, 5*r + 75 - 176 = -361 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**4\/4 - 59119*c**3\/4 + 437221767*c**2\/2 - 5020559776*c + 4801963672 = 0. Calculate c.\nAnswer: 1, 22, 29548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 2*r = -9, 5*r - 10*r - 27 = 4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 252981865 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide (-4 - -12) + (4 - -4)*1559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + (-2)\/4)*50. Suppose -r = 2*z - 1. What is the units digit of (z - (0 + 2))\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2847*i = 20974 + 64436 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 39a + 27?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 705173688 by -556.\nAnswer: -1268298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 1\/2*g**5 + 24*g + 0 - 41\/4*g**4 - 25*g**2 - 41*g**3 = 0?\nAnswer: -2, 0, 1\/2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 962, 1928, 2906, 3902, 4922, 5972, 7058, 8186?\n\"Answer: j**3 + 959*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 10. Let q = -1297 - -1297. What is the closest to 10 in d, 0.5, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7243886, 7243885, 7243884?\nAnswer: 7243883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094981995 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y + o = 32, 77*y - 79*y + 2*o = -6 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2607 and 10.\nAnswer: 10.2607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 14*v**2 - v. Let i be f(-1). Let y = 4 - 16. Let u be (y\/10)\/((-6)\/i). Sort -3, 4, u in increasing order.\nAnswer: -3, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 10:33 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 + 395 = 43*g. Let k(n) be the third derivative of n**4\/12 - 17*n**3\/6 - 4*n**2. List the prime factors of k(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 9 - 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/(-35))\/(13 - (-5615)\/(-425)) and 19\/378.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -815 + 569. Let h = -214 - x. What is the least common multiple of h and 12?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149836450?\nAnswer: 2, 5, 2996729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q + 0 + 0)*(-q**3 + 2*q - 2*q)*(6 + 5 - 15 - 5 + 1 + 0 + (6 - 4 - 3)*(5 - 3 - 3) + 0 - 4 + 2) to j*q**3 + p*q + z*q**2 + i + v*q**4 and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1)\/(l*l**21\/l*l*l))\/((l**(-3\/2)\/l*l)\/(l*l\/(l**(-1\/9)\/l))) assuming l is positive.\nAnswer: l**(-349\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -6*k + 1. Let z be j(1). Let w = -455.5 - -456. Which is the closest to w? (a) 0.4 (b) -0.3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -i + 8. Solve -5 = g - i*q + 6, 4*q - 16 = -g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 52252200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -329, -289, -259, -245, -253, -289, -359, -469?\n\"Answer: -z**3 + z**2 + 44*z - 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 31 = -4*f, 2*h = -h - 3*f + 3. Sort -1, h, 5 in descending order.\nAnswer: 5, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.97 + 0.77. Let f = -3 + 3.5. Sort g, f, -1 in descending order.\nAnswer: f, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 9:01 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.4261, -2\/5, -0.52?\nAnswer: 0.4261","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s**2 + 9*s + 7. Suppose 2*x = -4*a + x + 13, 2*x - 20 = -5*a. Let w(i) = 2*i**2 + 4*i + 3. Suppose 4 = -8*n - 36. Give a*b(m) + n*w(m).\nAnswer: -2*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29698580959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264624 is divided by 733?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 3987426659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 606700 rounded to the nearest ten thousand?\nAnswer: 610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of 7*i**4\/6 + 11*i**2. Let g(w) = 2*w. Determine g(f(x)).\nAnswer: 56*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 - 0.58. Let i = 2.92 - u. Let m(l) = l**2 - 10*l + 7. Let s be m(9). Which is the second biggest value? (a) i (b) s (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-3 - 3) - (-2 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 577 (base 8) to base 2.\nAnswer: 101111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -255*t - 725*t + 35*t - 62370 for t.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(1\/8))\/a*a)\/(a\/a**0)*(a**1)**(-3\/28))**30 assuming a is positive.\nAnswer: a**(-195\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + 0)*6)**2 - (sqrt(1377) + 0 + sqrt(1377)).\nAnswer: -18*sqrt(17) + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*f + 235740 - 963558 = 0. What is the highest common divisor of f and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -1, 10, -2460, -48 in descending order.\nAnswer: 10, 4, 3, -1, -48, -2460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -5. Suppose -i - 2*i = 2*z + 27, -5*i - 2*z = 45. Let r = i + 9. Sort y, -2, r in descending order.\nAnswer: r, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) 82 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 4:10 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 50316?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -52 divided by -52\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -382\/213 - -80\/71. Put -16, 45, f in ascending order.\nAnswer: -16, f, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -3*g - 27, 8 = 2*y - y - g. Let j = 7 - y. Solve 2*c + j*f + 17 = c, -3*c = -4*f - 29 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-40) + 22\/10. Suppose -3*o + 5*y = -3322, 4*o - 4437 = -3*y + c*y. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(110)*-1*1)\/(sqrt(20)\/sqrt(18) - 4*sqrt(30)\/sqrt(3)).\nAnswer: -6*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 294.578 - 295. Let h = -0.122 - p. What is the nearest to 1\/4 in -1, 1\/3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 7*v**2 + 8*v - 12. Let b be g(6). Suppose 160 = -2*l + t + 25, l - 2*t + 63 = b. Let n = 139 + l. What are the prime factors of n?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/172 and ((-178984)\/3440)\/(-13) + (2 - -3 - 9)?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60 + 65. Suppose -25 = 5*o, -5*f + k = -o - 330. What are the prime factors of f?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 182*t - 502*t + 162*t + 159*t. Let u(h) = 9*h + 24. Let q(p) = -2*p - 5. Let v(d) = 24*q(d) + 5*u(d). Determine -4*v(x) - 18*z(x).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 507449792 to the nearest integer?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/4 + (65 - 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -62372 + -15?\nAnswer: -62407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (10 + -4) - -2) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-36)\/(-15))\/(24\/1040). Let b = -105 + l. Let d be b\/((-2)\/(-4)*28\/(-42)). What is the highest common divisor of d and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21501 by -7167.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (39\/(-15) + 3)*30\/1. Suppose -f = m - 18. Let a(q) = -q + 2. Calculate the lowest common multiple of a(-5) and m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*x + 42*x = -3*x - 1017 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 369\/410 - (-2)\/(-4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + -1 - 1) + 1185 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 21*l**2 - 37*l + 108. Suppose -17*m + 29*m = 264. Let f be c(m). Is f > -221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24165 + -24156. Solve 0 = -n - 2*b + 15, -1 = -5*n + 3*b + w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/7 and -48\/42133.\nAnswer: 42133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1, -2, -5, -8?\n\"Answer: -3*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**4\/24 - i**2. Let o(z) = 2*z + 436 - 436. Determine a(o(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 33*w - 7. Let n = -2 - -9. Is s(n) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19539*l**4 - 67251?\nAnswer: -78156*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -21*o**2. Let x(y) = y**2 - y. Let g(c) = -8*c**2 + 18*c. Let l(p) = p. Let b(d) = -g(d) + 12*l(d). Let s(j) = -b(j) + 6*x(j). What is s(n(i))?\nAnswer: -882*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 j when three letters picked without replacement from {g: 2, j: 9, o: 2}.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + (-3*sqrt(128))**2 + 4 + 4.\nAnswer: 8*sqrt(2) + 1160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2220 + 2225. Which is the closest to 1\/3? (a) 0.3 (b) n (c) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -2*a**5\/15 + a**4 + 2*a**3\/9 - 2*a**2 - 43. Factor c(t).\nAnswer: -2*t*(t - 6)*(t - 1)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/8 - 6387*w**2\/4 - 28863*w.\nAnswer: 3*w*(w - 4276)*(w + 18)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 481971 and 1239.\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - h + 0)*(-1 - 1 + 4) + 7 + 3*h - 7)*(-2*h + 0*h - h) + (0 + 0 + 2*h)*(-2 + 2 - h) to the form r*h**2 + y*h + g and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*v + 4*g + 1, -4*v - g = -24. Let z = -25 - -45. Suppose -z = -0*m - 5*m. Solve -v + 3 = m*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**3\/3 + 172*x**2\/3 + 170*x\/3 = 0?\nAnswer: -85, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 8*o - 1. Let q be c(7). Let b(t) = -t**2 - 11*t - 13. Calculate the remainder when 30 is divided by b(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 657*c - 154. Let s(r) = -657*r + 192. What is -4*s(o) - 5*z(o)?\nAnswer: -5*o**2 - 657*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49 and 70?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from {h: 1, u: 2, j: 3, f: 3, d: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32764 - 32769. Let q(i) = 27*i - 17. Give q(t).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/63)\/(31\/((-2511)\/(-36)))*2\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/1272 and 49\/10335.\nAnswer: 82680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 6, -2\/11.\nAnswer: -2, -2\/11, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*l + 1 + (3 + 1 - 2)*(15 - 4*l - 15))*(-14*l + 14*l + 7*l**2).\nAnswer: -42*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 110256 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + k = 14*k - 72, -507 + 494 = 2*o + 3*k for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70956, 70957, 70958, 70959, 70960?\nAnswer: 70961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**2 - s**2 + 4*s**2 - s**2.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 22*d - 8. Suppose -8 + 17 = p. Let i be r(p). What is the highest common divisor of 38 and i?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - w. Let l(g) = -9*g**2 - 4*g + 2. Suppose 32*z = -1077 + 1269. Give z*u(x) - l(x).\nAnswer: 3*x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*l + 130*l + 414 = 67*l for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 6287 - 6297 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 16 = -0. Suppose -q + 31 = -3*o, q + 80 = u*q + 4*o. What is the units digit of 21\/q*(-1 + 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7010, -20790, -34580, -48386, -62214, -76070, -89960, -103890?\nAnswer: -117866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.2 (b) -5 (c) 0 (d) -3 (e) -0.1 (f) -45\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/6 + 52\/6. Let g = w - 10. List the prime factors of g\/(-1)*9\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 4 - 4)*(0 + 2*r + 0) + 71304*r - 71304*r - 3990*r**2.\nAnswer: -3986*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192887 = 41*b - 76688. What are the prime factors of b?\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oe when two letters picked without replacement from oooeooooooooeeeooooe?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 3*u = 0, 2*u + 16 - 38 = -4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u**(4\/15)*u\/(u\/u**(-7))*(u**(17\/3))**16 assuming u is positive.\nAnswer: u**(1289\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 38*d. Let g(a) = -3 + 2 + 2 - 800166*a + 399961*a + 400084*a. What is n(g(p))?\nAnswer: -4598*p + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -119547834 less than -15?\nAnswer: 119547819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1141081 is divided by 30840.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -1\/3 (c) -0.06 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -19, 10, 5 in decreasing order.\nAnswer: 10, 5, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 12 = -18*q + 20*q, 6 = -2*v - 4*q for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 3 + 2)*(2*d - 4*d + 0*d) to a + q*d and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -915 and 7.\nAnswer: -6405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -970*t - 4 = -974*t, -7*i - 2*t - 12 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323*r + 168*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(3) + sqrt(5) + -1)*2.\nAnswer: -2 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.3100128 to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18225567 is divided by 9112778?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(6048))\/sqrt(6)*5 + ((sqrt(175)*-2)**2*6 - (2 + 1*sqrt(175))).\nAnswer: 115*sqrt(7) + 4198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**2\/4 - 446255*d\/4 - 446253\/2 = 0.\nAnswer: -446253, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*u + 230 + 3070. Which is smaller: u or 326\/3?\nAnswer: 326\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o - 13. Let c be q(-7). Let f(b) = 19*b - c*b - 10*b. Let y(l) = l - 3*l + 7*l. Determine y(f(i)).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 124 - 100. What is the remainder when 36 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b56a (base 16) in base 11?\nAnswer: -28035a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4869\/2164*(-328)\/(-18) + 81\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**3\/((c\/c**7)\/c*c) assuming c is positive.\nAnswer: c**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q = 47*q + 17*q + 144 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 38?\nAnswer: 7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 3*f**3 + 5121*f**2 = 0?\nAnswer: -1707, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -147\/1013650 and 113\/28.\nAnswer: 14191100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -3*k - 6, 6027*y - 6026*y + k + 4 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 22969*n**2 - 1339. Let l(z) = -103*z**2 + 6. Let i(f) = 1339*l(f) + 6*y(f). Let k(r) = -2*r**2. Calculate k(i(d)).\nAnswer: -21218*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (814\/(-111) + -2 + 9)\/((-2)\/(-72))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -371.58 to the nearest ten.\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -1\/4, 10, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 1 = -1. Let -2 + 7 + 4*h + 3 - 4*h**w = 0. Calculate h.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -10*z**2 + 56*z - 41. Let c(n) = 9*n**2 - 54*n + 27. Calculate 3*c(a) + 2*k(a).\nAnswer: 7*a**2 - 50*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 425, 597, 757, 899, 1017, 1105, 1157, 1167?\n\"Answer: -c**3 + 179*c + 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 14*j + 7. Let v(q) = 3 + 5 + 43*q - 58*q + 28*q. Let c = 1 + -3. Let o(r) = c*n(r) + 3*v(r). Differentiate o(g) wrt g.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.9 + -3. Let u = 1.39 - 0.29. Let o = u + 0.9. Which is the closest to x? (a) 3\/2 (b) -1\/8 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19248)\/16040)\/(4\/210*6)*6.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1118, -2230, -3338, -4442, -5542?\nAnswer: -6638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 6 + 14)*(g**4 + 4*g**4 - 6*g**4) - 143*g**4 + 63*g**4 + 65*g**4 to d*g**2 + t*g**3 + n*g + z*g**4 + i and give z.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (3738\/(-126) + 30)*-1\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-6 - 0) + -26 + 26.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 7 = -6*v - 3*d, -2*v + 3 = -5*d for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 1.1. Let u = n + -0.1. Let s = 39 - 39.2. Are s and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -167, -393, -609, -809, -987, -1137, -1253, -1329?\nAnswer: -1359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1556.77 + -1560.77. Let y = -11 - -8. Let q = 4.9 + -0.9. Which is the third biggest value? (a) q (b) f (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 75.7 + -75.6997962. What is q rounded to five dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.048 * -324601.\nAnswer: -664782.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -205215, -205232, -205249, -205266, -205283, -205300?\nAnswer: -205317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 3102.\nAnswer: 3102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -45331, 2\/13, -1, -1\/3, -1.5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/4 + 113*n - 12769.\nAnswer: -(n - 226)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 139 = -2*k, 101*k + 4*b + 114 = 104*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -502 divided by 7928?\nAnswer: -251\/3964","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15 - -499b?\nAnswer: 4986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 39)\/(-8)*(4 - 5). Suppose f*p = 4*p - 5, -p = -4*h + 160005. What is h rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 2*b**2 - b - 4. Let q be x(3). Let i = 0 + q. Calculate the least common multiple of (-60)\/(-8)*4\/6 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*c + 58 = 0, -s - 155 = -6*s - 5*c. Calculate the remainder when s is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 4*i**2 + i - 4. Let u(c) = c**2 + 1. Let m(v) = 5*u(v) + x(v). Calculate m(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 277 + 3965 = 0. Is 2\/(-6) - j\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -8. Let k = -0.15 + 0.55. Let r = 853.3 - 853. What is the biggest value in r, k, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 2*m + 4*m - 31 = 2*m, 0 = m - 4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 320 and 228380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10303272.\nAnswer: 2, 3, 7, 20443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*c - 144*c - 4 - 149*c.\nAnswer: -332*c - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 32*b + 592. Give o(-18).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 873 = -862. Calculate the smallest common multiple of 482 and l.\nAnswer: 5302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 2:26 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**5\/10 + l**4\/6 - l**3\/3 + 7*l**2\/2 - 6*l. What are the prime factors of m(3)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.04205 and -0.8.\nAnswer: -0.84205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5179 + 0.0179. Let h = -407.02 - -402. Let j = h - -0.02. What is the third smallest value in 1\/8, j, p?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9915 is divided by 174.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-154)\/(-8)*(-4 - -6 - -2) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a microsecond in nanoseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {t: 3, k: 1, g: 7, p: 1}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -4*g + 20, -757*g = -753*g - 4*w - 56 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26262 - 26262.068015. Let n = y + 0.068. Round n to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222 + 228 = 24*h + 21*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-80)\/260)\/((-8)\/156). Sort 1, x, -7, -3, 2 in decreasing order.\nAnswer: x, 2, 1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 + 51. Let q(c) = -c - 153. Let o be q(0). Is 12 a factor of o\/(-4) + l\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1822056 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52 + 51.7. What is the closest to -5 in -3, k, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0399392 to three dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1679 plus 25997.587693?\nAnswer: 27676.587693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 285.2 - 285. Which is the smallest value? (a) -82.2 (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p - 10. Let d be n(12). Suppose -296713 = -d*w - 4*k + 143283, 2*k = -2. Round w to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -1\/120*c**6 + 1\/15*c**5 + 2*c**2 - 2\/3*c**3 + 0 + 7\/24*c**4 + 0*c. What is the units digit of n(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0132 - 1.0132. Let k = -5 + 5.08. Put i, k, 1 in decreasing order.\nAnswer: 1, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 3:14 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**5\/160 + 3*k**4\/32 - 145*k**3\/48 - 153*k**2\/16 + 7700*k. Factor i(a).\nAnswer: (a - 9)*(a + 1)*(a + 17)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -1. Suppose -5665*m + 5660*m = -75. Find the second derivative of 8 + 22*w**i - 8 - m*w wrt w.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q*q**(-2\/3)*q))\/q)\/q*q**(-1\/6)*q)**(-32))**(-2\/7) assuming q is positive.\nAnswer: q**(-96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8009497\/6 - -1331850. Let y = h - -3088. Let n = 33\/740 - -43733\/6660. What is the common denominator of y and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6572, 14287, 22002, 29717?\n\"Answer: 7715*y - 1143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4556457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -521\/17665 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/(-3) - 2)*-1. Suppose 0 = -5*y + 3*r + 40, 3*y + 3*r - 21 = 3. Let g = 9 - y. Sort g, 3, f in ascending order.\nAnswer: f, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**5\/7 - 44*l**4\/7 - 18*l**3 + 3728*l**2\/7 + 7648*l\/7 + 3840\/7 = 0. Calculate l.\nAnswer: -8, -1, 12, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6804 - 445?\nAnswer: -7249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q + 2*q**4 + 4*q + (q**3 + 4*q - 4*q)*(3 - 3 + q) + 4*q**2 - 4*q**2 - 2*q**4 - 8*q**4 + 7 - 7.\nAnswer: -7*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 104 + 102 = 0. Let z be 4\/6*-3*4. Is (-1695)\/(-20) + b\/z a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 201690, 20, 8.\nAnswer: 8, 20, 201690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66838 - 24538. Round w to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*y + 9 = 0. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 1804 = -24684. What is m rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000058093 to 7 dps.\nAnswer: -0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(-4)\/27 + (-82)\/(-18). Put 0.1, 4\/67, -0.1, q, -2\/7 in descending order.\nAnswer: q, 0.1, 4\/67, -0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**3 - 4*f**2 - 2*f + 2. Let j(a) = a**3 - 4*a**2 + a + 4. Let n be j(3). Let s be z(n). Let d = 11 - s. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21910, -21773, -21658, -21571, -21518?\nAnswer: -21505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 6, -6*b - h - 758 = -2*b. Let w = b - -193. Solve 4*t - 5*z - w = 0, 3*z - 4 = -3*t - t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 4*a - 343 = -330, -j - 5*a = 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 2*z = -23, 9*z - 97 = 4*j - 113 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.10999494 + 1.11. What is w rounded to 7 decimal places?\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 2*l + 5. Let b be s(-6). Let y be 4 + (9 - 13)*(-1)\/(-2). Suppose 5*m = -2*c + b, 2*m - 6 = c + y. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 111 and 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 968 - 936. Calculate the highest common factor of d and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 4:17 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1086 and 6?\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5\/13 (b) -2\/5 (c) 0.875 (d) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1730*t = 1523*t + 7452 for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pf when two letters picked without replacement from {p: 4, f: 3, r: 4, z: 1, o: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.83*2.\nAnswer: 21.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 1 - 3 - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1305 times 0.2?\nAnswer: 0.0261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4\/7 + 68*o**3\/7 - 66*o**2\/7.\nAnswer: -2*o**2*(o - 33)*(o - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 9:40 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 939815641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -222888132\/3155 + 70646. Let p = q + -53617\/28395. Let y = 11\/41 + 1850\/287. Calculate the common denominator of y and p.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 221\/48?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-16) + (-3538)\/(-280). Let s = -58\/7 + z. Find the common denominator of s and (-2)\/3 - (-795)\/18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/(-27)*4)\/(78\/18 - 5).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17790*p + 17717*p - 97 = -1119 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 264522147 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*c + 211 + 2415 = 1858 - 1959 for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 338175.\nAnswer: 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -17. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 15 = 5*b, 4*r + 58*b - 53*b = -15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7*t + 17. List the prime factors of o(-9).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -189, -418, -685, -990, -1333?\nAnswer: -1714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49195912 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 4:06 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l**3 - 9*l**2 - l. Let y(f) = -f**3 + f**2 + f. Let p(d) = -o(d) - 4*y(d). What is the units digit of p(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -5\/4, -0.4, 2 in decreasing order.\nAnswer: 2, -0.4, -0.5, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1266\/55 - -116\/5. What is the second biggest value in r, 4, -17, -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-14) - 89\/(-7). Suppose -8 - v = -3*w. Suppose -3*k + 0*z + w = 2*z, 4*z = -4*k + 8. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*n + 944 + 29996, 5*q - 4*n + 77332 = 0. Let l = -8746 - q. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 - 0. Let m = -3113\/10 + 1549\/5. Let i = -13 + 13.3. Put t, m, i, -1 in increasing order.\nAnswer: m, -1, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -13?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.130296 + 0.13. Round t to five dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (99\/(26235\/(-212)))\/((798\/45)\/7)\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - 88 + 80 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-2))\/(7\/14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -196.\nAnswer: 5\/196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 30321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z*(z**(3\/4)\/z)\/z*z))\/(z**(-2\/7)*z)*z**3*z\/(z*z**(-1\/6)))**2)**(-16) assuming z is positive.\nAnswer: z**(-1144\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 + 5571*g - 2*g**3 + 5582*g - 11129*g as l + o*g**3 + i*g**2 + p*g and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/3)\/((-1)\/6). Solve 0 = v + 3*v + b + 1, -v = -x*b - 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -26*x + 2. Let p be y(2). Let o = 129 + p. Suppose g = -i + o, 2*g = -i + 4*g + 76. What is the highest common factor of 13 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 34*u + 1293. Give j(-39).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 316 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 0. Let l be c\/3*(-6)\/(-4). What is the nearest to l in 4, 2, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/7 (b) 6\/43 (c) 176 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/7 - 19\/133.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1767 = -24*s + 1695 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27989 is divided by 13990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -279921777 to the nearest ten thousand.\nAnswer: -279920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**3 + h**2 + h**2 + 182*h**4 - 143*h**4 - 1 to p*h**4 + i*h**3 + w*h + c + q*h**2 and give p.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u - 6. Let x be j(-5). Factor 16*f**3 - f**x - 7*f**2 - 9*f**2 - 3*f**4 + 0*f**2.\nAnswer: -4*f**2*(f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 3 - 261\/99?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*l = 29*l - 143 - 182 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1556 is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 2) + (16 - 40) + 24.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o. Let m(z) be the third derivative of 0*z + 9*z**2 + 0 + 11\/24*z**4 - 1\/3*z**3. Determine r(m(t)).\nAnswer: 22*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -192*h + 10. Let w(f) = 10794*f. Determine w(i(t)).\nAnswer: -2072448*t + 107940","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40728 = -3*q + 62*f - 58*f, 0 = q - 2*f - 13572. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2. Let n = 0.1 + z. Let b be (8\/40*1*-3)\/((-48)\/20). Put b, 4, n in increasing order.\nAnswer: n, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 12162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 - -0.4. Let q be 5 - 4 - (-38)\/(-24). Let x = -1\/3 - q. What is the closest to x in v, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -235693.5432 to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 383 + -357. Calculate the highest common factor of y and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**4\/6 + h**3\/2 + 4*h**2 - 9*h - 125. Calculate n(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -8, -4, -1, 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -3*v. Let j = -160 - -157.09. Let h = 0.09 - j. What is the third biggest value in v, -1, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*m**3 + 2614*m + 9*m**3 - 5228*m + 2612*m - 71*m**3 - 4 as o*m + i*m**3 + h*m**2 + w and give i.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14765\/37 - 399. Let o = v + 33\/74. Let w = 2407\/11 + -219. Which is the nearest to o? (a) w (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 - (-2 - -4) - ((262 - 258) + -3 + -2)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -9678878?\nAnswer: -5\/9678878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0909 - 48.0091. Let u = 41.1 + o. Put -5, 2\/5, u in increasing order.\nAnswer: u, -5, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1611 - -1643. Is 30 at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 4*i - 3556 = 0. Let a = i + 1105. List the prime factors of a.\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -105.4 - -105.4. Let g = -457\/3 - -151. Let d = g - -1. What is the closest to h in d, -3, 2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + (0 + sqrt(304)*-2)*-3) + -4.\nAnswer: -34 + 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 189, 2\/5, -49?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d - 11. Let f be m(8). Suppose -3*n - 2*n - f = 0, 3*n = 5*g - 348. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 9:30 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 114\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**3\/4 - 665*t**2\/4 + 112387*t\/2 - 111720 = 0?\nAnswer: -912, 2, 245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 12:56 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 7*j + 16 = -n, j + n - 8 = 0. Suppose -7 = -a - j*k + 4, k + 1 = 0. Solve -h = -4*h + a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/2 + (-3 - 0). Suppose g*j - x = 3*x - 10, 3*x - 23 = -4*j. Solve j*o = -4 + 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2690 - -3538. List the prime factors of i.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*h = -14, -28*v = -30*v - 4*h + 28. Solve -12*z + 12 + 48 = v for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5537248 - 50732266313\/9162. Calculate the common denominator of 65\/8 and t.\nAnswer: 36648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -4*f - 2*o, f + 2*o - 20 = 5*o. What is the second derivative of -11*h**2 + 24*h + f*h + 53*h**2 + 5*h wrt h?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from zidiizizizz?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-36)\/30)\/((-1)\/(-5)). What is the tens digit of 388\/(-6)*9\/a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 + -7. Let j = u + -40. Suppose -15 = j*n - 12*n. Solve 4*c + 10 = -2*r, 2*c - n*r - 15 = -0*r for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4678357 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 18. Let c(a) = -a**2 - 3*a + 153. Let d be c(v). Let y be (d\/(-2))\/(2*(-1)\/4). What is the highest common factor of 17 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1869*x + 21528 = 1873*x. Does 5 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**5\/30 + 290*z**4\/3 - 387*z**3 - 2064*z**2 + 2. Factor l(p).\nAnswer: 2*(p - 1)*(p + 1161)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a century?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 7*y**2 + 50*y + 207. Let a be r(-9). What is the highest common factor of 252 and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2 - 19\/(-2). Suppose 0 = -2*w - 5*y - 27, -5 = 3*w - y + f. Is (52\/w)\/((-2)\/6) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9142 = -129*o - 15919 + 9486 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16887549?\nAnswer: 3, 7, 53, 15173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -4. Suppose l*d - 16*d + 132 = 0. Suppose 4*f + 2*m = 14 + d, 4*f = 3*m + 43. Solve -2*x = a + 7, 2*a - a + 4*x = -f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4*u**3 + u**2 + u - 2. Suppose 19*f = 11*f - 2952. Let v = 371 + f. Let w(s) = -5*s**3 - s**2 - 2*s + 3. Give v*w(h) + 3*r(h).\nAnswer: 2*h**3 + h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1613728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 9*u - 2. Let r(o) = 2*o**2 + 3*o + 1. What is the lowest common multiple of m(11) and r(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 3, -4, -7, 0.2 in ascending order.\nAnswer: -7, -4, -0.5, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in -5, 3\/4, 0.3, -0.022?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00019845 rounded to six dps?\nAnswer: -0.000198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.8, 0.1, 6, -1, -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*p + 4*p + 11*p)*(-809*p**2 - 662*p**2 - 763*p**2) to m*p**2 + z*p + h + r*p**3 and give r.\nAnswer: -24574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -428145, -427958, -427647, -427212, -426653, -425970?\n\"Answer: 62*w**2 + w - 428208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 1:06 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -451\/2 + 221. Calculate the common denominator of -103\/50 and h.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2707388 is divided by 478.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b + 6*b - b. Let w(m) = 97*m**2 + 24. Let s(g) = 64*g**2 + 15. Let d(h) = -8*s(h) + 5*w(h). Determine q(d(l)).\nAnswer: -81*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 7:06 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 4*o + 36, -6 = -5*v + o + 10. Let g be ((75\/(-10))\/5)\/(0 + v). Let u = 2 - 2.4. What is the second biggest value in u, 1\/11, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*l - 28 - 38 + 66.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 182 = -16*h for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 599 + -925. Which is greater: w or -324?\nAnswer: -324","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 952452.\nAnswer: 2, 3, 8819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vhv when three letters picked without replacement from auvuuhuumaavaahaua?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence svz when three letters picked without replacement from {s: 1, r: 3, m: 3, v: 2, z: 2, f: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 0 + 0)*(-52 + 52 + 54*a) + 0 - a**2 + 0 + (-6*a + 4*a + 4*a)*(0*a + 4*a - 5*a) - 2*a**2 - a**2 + 5*a**2 + (a + 0*a - 3*a)*(-a + 5*a + 19*a).\nAnswer: 61*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8448*t**3 - 10625 with respect to t.\nAnswer: -25344*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 divided by -2.\nAnswer: 75\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -279082 take away 10226133.7?\nAnswer: -10505215.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**2 + 6*w**2 + 14*w**2 - 1 - 2*w**2 + 1 + (0 + 2 + 0)*(3*w**2 - 2*w**2 + 0*w**2) + w**2 + 0*w**2 + 0*w**2 - 2*w**2 + 4*w**2 + 3*w**2.\nAnswer: 26*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/63 and 85\/6.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 12:28 PM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n + 11448 = 3064. Let g = n + 527. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 e, and 1 j when three letters picked without replacement from grjrsrerseeireegj?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19\/564283 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -3, 3, -2, -539409 in descending order.\nAnswer: 34, 3, -2, -3, -539409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 8208 (b) -3 (c) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1\/4, 69, -0.6 in ascending order.\nAnswer: -0.6, -0.3, 1\/4, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5308 + 2*l - 5308.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3 - 1 - 1 + 3 - o. Let g be m(-4). Suppose -96 = -6*q + g*q. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.5742 (b) 1\/6 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 1821335*q**2. Let n(u) = -2*u. Give d(n(t)).\nAnswer: 7285340*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppqq when four letters picked without replacement from {q: 2, p: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-26)\/14 - (-1 - 0))*-7. Solve -j = j + v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25*27\/(-7425) + -1 + (-12)\/(-11).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 1. Let a be x(-1). Let v be a\/10 + 60753\/15760. Let f = v + 3\/394. Find the common denominator of -107\/18 and f.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1273012857*a - 418334372 wrt a.\nAnswer: -1273012857","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus -8651?\nAnswer: -8655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -17378 and -52.\nAnswer: -17430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 0 + 3*f + 0*f**4 - 2\/105*f**6 + 0*f**3 + 0*f**2 + 1\/70*f**5 + 1\/147*f**7. What is w in p(w) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 5*u + 3. Let y be v(-5). Let r(l) = -5*l + 3*l + 2*l - y*l. Let g(p) = -2*p. What is g(r(d))?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2. Let q(v) = 2*v - 12. Let i(x) = 2*x - 10. Let z(b) = 5*i(b) - 6*q(b). Give z(m(j)).\nAnswer: -4*j**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -813 + 813. Solve a - b + 5 = -y*a, 2*a + 1 = -b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 48*q**5 + 12*q**4 + 40*q**2 + 12. Let p(u) = -u**4 - u**2 - 1. Let d(k) = o(k) + 12*p(k). Find the third derivative of d(h) wrt h.\nAnswer: 2880*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5872875 to the nearest integer?\nAnswer: 2423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/14)\/(h**(-11)*h)*(h**(-4))**(-25))**(-9\/5) assuming h is positive.\nAnswer: h**(-13887\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/2703486 and -28\/450581.\nAnswer: 2703486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -2*w + 13*w. Solve 2*f - 10 = w*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 458 and 2.\nAnswer: 916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -788319 divided by 2709?\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nfnttnnbn. What is prob of sequence bnn?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 2*h**3\/3 - 6*h**2 + 18*h + 90. Solve g(z) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y**2 - 2*y - 1. Let v be l(-1). Let w(m) = v - 15 + 9 - 4*m + 3. Let t(n) = 5*n - 5. Give 3*t(p) + 4*w(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**2 - 148740*k + 6534880 = 0. Calculate k.\nAnswer: 44, 29704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 72061031039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1273, 1607, 1941, 2275?\nAnswer: 2609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 6*v**3 + v**2 - v**3 + 5*v**3 + 6 as z + x*v**3 + n*v + r*v**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12, 388, 1052, 1980?\n\"Answer: 132*p**2 + 4*p - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 557256 divided by -4\nAnswer: -139314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -8. Suppose -3*m + 4*m = 0. Solve i - s - 1 = m for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 4)*1 + (-13 - -4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361074 is divided by 3575?\nAnswer: 3574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 6277495.9 to the nearest ten thousand.\nAnswer: 6280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -543, -307, -3, 4, 5.\nAnswer: -543, -307, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1573) + 0 - (3*(sqrt(1573) + 1) + sqrt(1573)))*-4 + 3)**2*3.\nAnswer: 7920*sqrt(13) + 302691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/3 - 32*g**2\/3 + 60*g + 432.\nAnswer: (g - 18)**2*(g + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.33 + 0.43. What is the nearest to i in -1, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -703 + 24?\nAnswer: -68a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80247 - 80247 - 3642415*p**2 + 3642412*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 10:39 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 - 26*x + 7. Calculate g(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*h = -44 + 15, -2*b + 20 = 3*h. Does 2 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + f = 1150, -6*d + 1148 = -3*d + 2*f. Calculate the greatest common divisor of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -888*b + 145*b - 199*b + 14130 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 3*y**2 - 4*y + 5. Let r = -12 - -8. Is v(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*r = 12, 2*m = r + r. Suppose 2*u = 67 + 65. Suppose 0 = -m*a + 7*a - u. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 34*y**2 - 30*y - 14. Let k(d) = -7*d**2 + 6*d + 3. Let l(z) = 3*g(z) + 14*k(z). Calculate the smallest common multiple of l(4) and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r + 4 - 3 - 2*r + 5*r. Is u(13) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -7*s + s - 280, -5*s + 2*r - 66 + 174 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 420 - 243. Let o(s) = 1 - 178*s**2 - 3*s**3 + 8*s**3 + h*s**2. Determine o(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 6*x**2 - 5*x + 8. Let k(s) = s + 1. Let b(c) = -2*k(c) + r(c). What is b(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, q: 2, i: 1, j: 1, x: 2}. Give prob of sequence oxq.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-5)\/(-35)*2\/4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -12*(-5 + 17\/4). Let f(q) = -q**2 + 21*q - 20. Let t be f(v). Suppose 0 = 2*z + 3*y - 424, 0 = 4*z + 5*y - 932 + t. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -8078 (b) -0.18 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*l = 3*l - 8785. Calculate the remainder when l is divided by 127.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 607916.\nAnswer: 2, 379, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1\/2)*k)\/(k*k**6*k)*k**(2\/7)\/(k\/(k\/k**(-1\/4))))\/((k**(-5)*k**(-2\/19)\/k*k)\/(k**(3\/5)\/k**(-4\/7))) assuming k is positive.\nAnswer: k**(831\/2660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306238 is divided by 1340.\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30565239?\nAnswer: 3, 10188413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 + (-18)\/(-6))*(-6)\/7. Let h be 14\/g*(-1 - -2 - 4). Let v(f) = -3*f**2 + 5*f + 3. Let t(l) = -5*l**2 + 9*l + 5. Give h*v(q) - 4*t(q).\nAnswer: -q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*i**2 + 8*i**2 + 42*i**2 - 12*i**2.\nAnswer: 107*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of z**4\/12 + z**3\/6 - z**2\/2 + 103*z. Let m(s) = 2*s**3 + 4*s**2 + 2*s + 0*s**3 - 6 + 3. Determine 2*c(k) - m(k).\nAnswer: -2*k**3 - 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -13*v**5\/5 - 14*v**3\/3 + 18. Find the third derivative of g(d) wrt d.\nAnswer: -312*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 - 316 - (18 - 1 - -1) - 59?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6573*s - 6567*s + 36 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6716640660 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -13*l**4\/3 - l + 22. Let d(b) = 2*b**2. Give h(d(u)).\nAnswer: -208*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 41*n**3 + 22*n**2 + 6*n - 13. Let r(h) = -27*h**3 - 21*h**2 - 4*h + 12. Calculate 2*m(x) + 3*r(x).\nAnswer: x**3 - 19*x**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 6) to base 16\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -7*c**6\/120 + 5*c**4\/24 - 2*c**3\/3 - 9*c**2. Let z(p) = -p**3 + p - 1. Give -a(w) + 5*z(w).\nAnswer: 2*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**3 - 10*x**2 + 19*x - 101. Does 86 divide q(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-1))\/((-28)\/28).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*h + 6. Let l = -10.6 + 11. What is the closest to 2 in h, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 23, -4, -2 in increasing order.\nAnswer: -4, -2, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 1700 = -3*v. Is v a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299 = 4*w - 149. Let o be (-75)\/60 - (-33)\/4. What is the highest common factor of w and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -754*a - 964*a - 246*a + 167*a.\nAnswer: -1797*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 90.43596 decades?\nAnswer: 904.3596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/76784 and 47\/22?\nAnswer: 844624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -3 + 8 + -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - b - 16 = 0, 4*p - 45 = b - 9. Suppose 4*d + p + 14 = 0. Let l be ((-8)\/d)\/(3\/198). What is the greatest common factor of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 15*q**2 - 2*q + 1. List the prime factors of p(1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -2\/5 (c) 243865\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d - 253 = -32*d. Let o = -57 - -57. Solve o = v + 4*h + h - d, -5*h = -v - 17 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92+-1251882.942942\nAnswer: -1251790.942942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*t - 1. Suppose -5*n = -4*j + 182, -7 = -4*j + t*n + 171. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r**3 + r**2 + 5*r - 1. Let s(q) = 5*q**3 - 2*q**2 - 6*q + 2. Let o(a) = 3*s(a) + 4*y(a). Calculate o(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 60724468*o*z - 36*z - 10116 wrt o?\nAnswer: 60724468*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**5\/60 - 9*k**4\/8 - 16*k**3 - 21*k**2. Let m be p(-12). What is the greatest common factor of 48 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6) - (-94)\/6. Suppose 0 = -c + 4*c. Let g(s) = s**2 - 7*s - 6. Let j be g(8). Solve 0 = -4*p + y, c*n + j*n + 4*p = 24 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.86 + -0.85999917. Round h to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -28*i**2 + 146*i - 188. Let v be s(3). Let w be (0 - 3)*(-2)\/3. Sort w, -3, v in ascending order.\nAnswer: -3, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/8)\/((-2)\/(-32)). Let f(x) = x - 6. Let m be f(a). Solve -2*h + 3*n - 3 = 0, 3*h + 3 = m*h + 2*n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) 167575 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -30, -26, -24, -24, -26, -30?\n\"Answer: -q**2 + 7*q - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 3*s - s)*(-3*s + 6*s - 2*s)*(8 - 4 + 6).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 433401 (base 5) to base 14.\nAnswer: 55ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 < 448?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6616116 (base 7) to base 14.\nAnswer: -17190d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a gram in milligrams?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1668, -2, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 597.\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b99a1 - -1?\nAnswer: b99a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -4. Let q be 6\/f - (-60)\/16. Let g be 4\/4 + 3\/(-3). Solve g = q*t - 8 - 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819411700 a multiple of 13841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 810316 is divided by 7339.\nAnswer: 3026","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - 77. Let v = b - -123. What is the remainder when 194 is divided by v?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 480*o + 6281. What is m(-13)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 799955 + -434255. Round n to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + -23. Suppose -f - 2*p + 2 = -3, 4*f - 2*p + 10 = 0. What is the closest to 0 in f, s, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37874, 38788, 39728, 40706, 41734, 42824, 43988, 45238?\nAnswer: 46586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1)*g**(2\/3))\/((g\/(g**(-1\/2)\/g*g))\/g**(1\/2)))**(-39) assuming g is positive.\nAnswer: g**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271*u**2 - 146*u**2 - 125*u**2 + u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 599 is divided by 61?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18364148.\nAnswer: 2, 11, 17, 24551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2*l)*(3*l - 3*l + 2*l**3) - l**4 - 2*l**4 - l**4.\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14122590 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 10 = 3*x, 10 = -4*k + 2*k. Suppose -4*j - 2 = -x*j. Suppose 0 = -9*f + 13*f - 20. Solve 0 = j*z - 5*z + f*w - 12, -4*w + 16 = -4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*k**3 - 8*k + 8*k - 9*k**3.\nAnswer: -26*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2547329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/1 + (70 - -2). Calculate the common denominator of (0 + 2)*m\/(-32) and 43\/3.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 1)*(2*x + 2 - x + x).\nAnswer: 10*x + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1502 + 1520. Solve -4*n - q = 2*r, -3*n = -3*r - 0*n - 9 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 5*t + 3. Let y(d) = 2*d**3 - 6*d + 3. Suppose -9*z + 41 = -13*z - 5*m, -5*z - 5*m = 45. Determine z*r(u) + 3*y(u).\nAnswer: 2*u**3 + 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 + 264 = -109*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v. Let b be p(-8). Suppose -4*w + 3*k = -5*w - 4, 4*w - b = 4*k. Let o(l) = -l**2 + 5*l + 3. What is o(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 2, 18, -17\/6, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 382385608 to the nearest integer?\nAnswer: 19555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of 5*j**4\/24 - 2*j**3\/3 - 159*j**2 + 4*j. What is x(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6666 times 0.2?\nAnswer: -1333.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399092220?\nAnswer: 2, 3, 5, 83, 26713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzqqzzqcqooclooqoqc. What is prob of picking 1 c and 1 z?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -60761.82445 from 11.\nAnswer: 60772.82445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 5 - (2 + 11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 2:57 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4305 = -91*a + 5306 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 5*x - 3. Let p be d(5). Let a(k) = -2*k**2 - 163 + 59 - 3*k + 53 + 55. Let j be a(p). Sort j, -2, 5 in increasing order.\nAnswer: j, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -17037\nAnswer: 3407.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 25*t = 23*t - 16. Sort 0, t, 5, -1, -2.\nAnswer: t, -2, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*r + 17 = 3*z + 219*r, -26 = -2*z + 4*r for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339985 is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, -1\/3, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is a1 (base 12) in base 15?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (n + 5 + 0*n - 7)*(-451 + 1517 + 599) as c + i*n and give c.\nAnswer: -3330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2\/37))\/(b**(-1\/56)\/b)*(b*b**(-1\/18))**21 assuming b is positive.\nAnswer: b**(136163\/6216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*y + 4*l - 10, 0 = 5*y + 4*l - 8. Suppose 4*q + 3*i = y, 5*i - 2*i = -12. Let g(v) = -v + 3. Let d be g(q). Solve d = 5*o - 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q - 7. Let i be w(-11). Let k = 3 + i. Let o be -8 + 944\/120 + 542\/15. Calculate the highest common divisor of o and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -103*p - 31. Let q(h) = 118*h + 32. Let t(x) = 7*i(x) + 6*q(x). What is t(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76243117.\nAnswer: 29, 2629073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from 0.06158.\nAnswer: -0.33842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 341243.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 3:46 PM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6*o - 3*d = 0, o + d = -0*o. Let v(z) = z**3 - 2*z**2 + 3*z - 10. Calculate v(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9891355 is divided by 57844.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5\/8)\/((q\/q**(-1\/8))\/q))\/((q\/(q**(3\/4)\/q))\/q**(2\/13)) assuming q is positive.\nAnswer: q**(-24\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 6 - 9)*(-31 + 31 - 10*x + 3*x - 3*x + 2*x + (-1 - 1 + 1)*(2*x - 7*x + 3*x) + 2*x - 1 + 1 - 2*x - 2*x + 5*x).\nAnswer: 33*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17240, -17226, -17210, -17192, -17172, -17150, -17126?\n\"Answer: z**2 + 11*z - 17252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -y**4\/4 + y - 2. Let n(c) = 3*c**3 - 6*c**2 + c + 3. Let u(w) = n(w) + 2*x(w). Is u(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2140582 + 959418. What is p rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53\/6, -2, 0.004, -198 in descending order.\nAnswer: 0.004, -2, -53\/6, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 12) in base 3?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1380610\/420)\/(-121) - -28?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29664*r**4 - 119*r**3 + 44072069 wrt r?\nAnswer: -118656*r**3 - 357*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c - 4*c - 7*c.\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1172355 is divided by 586139.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 10 = 2*n, 3*q = 4*n + 2*q - 15. Suppose -10 = 4*r - 2*m, -6 + 1 = 3*r - n*m. What is the smallest value in 30, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5200188 divided by 2.\nAnswer: 2600094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -278*t**4 - 3 + 34*t**2 - 3*t**3 - t - 288*t**4 - 286*t**4 + 2*t**3 + 850*t**4 as g + h*t**4 + l*t**3 + u*t**2 + o*t and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -157, 1\/5, 1\/4, 5, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*o**3 - 1)*(-3*o**2 - o + o) + 0*o**5 + 0*o**5 - o**5.\nAnswer: -7*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 2*z + 0*z)*(1878 - 4628 + 1629 - 5019 - 3256)*(3*z**3 - 4 + 4).\nAnswer: -28188*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0163990117 to 3 dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 19. Let z = -0.29966 + -0.00034. Which is smaller: s or z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -12*q - 75. Let r be (-4 - -1) + 6 - (6 + 1). Let k be f(r). Is k at most -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 8 = 5*c - 3*u, -14 = 2*c + 46*u - 44*u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4335749 and 1321628?\nAnswer: 6743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -622659, -1245323, -1867987, -2490651, -3113315?\nAnswer: -3735979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1014*l**3 - 61*l**2 - l + 4195969?\nAnswer: 3042*l**2 - 122*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-15) + 13\/(-3). Let o(h) = h + 2. Let i be o(-6). Let l be 1*-25*(j - i). Calculate the highest common factor of 10 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u - 8. Let l(m) = 4 + 3 + 7 - 9 - 2*m. Let t(x) = -x + 1. Let o be t(6). Calculate o*k(h) - 8*l(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -559, -2142, -4779, -8470, -13215, -19014, -25867?\nAnswer: -33774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 19 = 3*k, -3*i = -5*k - 7*i + 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -3. Let z(a) = a**3 - 3*a**2 + 6*a - 4. Is z(q) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4096349826 divided by 6\nAnswer: 682724971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*y**2 - 2512\/3*y - 394384\/3.\nAnswer: -4*(y + 314)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1118107 and 0.1?\nAnswer: -111810.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*w + 130*w + 41*w + 40*w.\nAnswer: 259*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2787.1707 to the nearest integer.\nAnswer: -2787","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aebea. Give prob of sequence ea.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millennium in years?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.4 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/103, 2, 1, -6, 0 in decreasing order.\nAnswer: 2, 1, 3\/103, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 3672*q**2 - 8*q**3 - 3667*q**2 + 6*q - 8 + 2. Let r(n) = 17*n**3 - 9*n**2 - 11*n + 11. What is 11*b(m) + 6*r(m)?\nAnswer: 3*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -2518628\nAnswer: -755588.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 160 and (7\/21*-10)\/((-4)\/66).\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -317, -793, -1501, -2453?\nAnswer: -3661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(1088) + 0.\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-8) - (-27)\/72*-1)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 1, -1, 17, 4, 413, -4 in descending order.\nAnswer: 413, 19, 17, 4, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**3\/5 + 36*q**2\/5 + 24*q + 112\/5 = 0.\nAnswer: -14, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 544.22417 + 0.07583. Round s to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1847267 to the power of 1\/2, to the nearest integer?\nAnswer: 1359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -890.28303344 - -1380.\nAnswer: 489.71696656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 450, 831, 1144, 1347, 1398?\nAnswer: 1255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 80 - 55. Let x(w) = -w**3 - 7*w**2 - w + 4. Let y be x(-9). What is the highest common factor of g and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2))**(24\/11)\/(w\/((w*w**4\/w)\/w*w))**(-1\/3) assuming w is positive.\nAnswer: w**(-59\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*w**3 - 5*w**2 - 11 wrt w?\nAnswer: 39*w**2 - 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand q + 15*q**5 - q + (2*q**2 - 2*q + 2*q)*(-q**3 + q**3 - q**3).\nAnswer: 13*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t + 69*g - 55 = 68*g, -4*g - 8 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -8263*d - 6 + d**2 + 17 + 16519*d - 8264*d. Determine g(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(4\/7)\/x*x*x*x**13*x*x**19\/(x*x**(2\/7)*x) assuming x is positive.\nAnswer: x**(226\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (4828\/(-255))\/(-71)*2\/(-1)*13\/(-104)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 400559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 3*q - 104. Let o(b) = -3*b**2 + 8*b + 314. Calculate -3*o(n) - 8*s(n).\nAnswer: n**2 - 110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3726 + 19334 = 12*f + 1856. Does 149 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114861715 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208\/5*t + 36*t**2 - 64\/5 + 47\/5*t**3 + 4\/5*t**4 = 0 for t.\nAnswer: -4, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2692357919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 12*m**3 - 7*m**2 - 18*m + 9. What is v(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 10:08 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -525 - -525. Suppose -8*d - 5*d - 26 = s. Let h be 2 - (-1 - (-2 + 1)). Sort d, h, 4.\nAnswer: d, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4668248 and 23192.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/350*(-1)\/1.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djddjfqjfffqmdoffo. Give prob of sequence dom.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2834 or -3020?\nAnswer: 2834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/(-35) - (8 - 2) and 36\/90 + (-176)\/315.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007268 to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*h = 22*h - 2*q + 4, 0 = -2*h - 5*q + 10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7503.\nAnswer: 3, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 13410058?\nAnswer: 107280464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**4\/4 - 9*s**3 + 4*s**2 - 201*s - 104. Let x be z(27). Solve -3*y + x = -0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/7 and 53\/22860.\nAnswer: 160020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**6\/30 + b**4\/10 - b**2\/10 + 80. Factor j(h).\nAnswer: -h*(h - 1)**2*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22097244 is divided by 2117?\nAnswer: 2115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.853 rounded to one decimal place?\nAnswer: -6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 161*n**2. Let f(s) = -31*s**2 + 24*s + 4. Let q(v) = 92*v**2 - 66*v - 11. Let o(l) = 11*f(l) + 4*q(l). Calculate y(o(k)).\nAnswer: 117369*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4034 divided by -5.\nAnswer: 4034\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, v: 2, r: 2}. What is prob of sequence re?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1516873 to the nearest integer?\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v + 28 = -10*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-333)\/144*4 + 9. Is w equal to -85\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-220)\/(-77)*2 - 6. Which is the closest to g? (a) -4 (b) -4\/3 (c) 3 (d) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 7 = -2. Let k be 0\/(0 - (g + 2)). Suppose -17 = -5*t + 3*o, -4*t + 7 = -4*o - 5. Sort t, -3, k in ascending order.\nAnswer: -3, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 4. Suppose -5*a - 15 = 5*o, 2*a = 3*a + 3*o + 1. Calculate s(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2624*n**3 - 6*n**2 + 6*n - 3579. Let z(u) = -2626*u**3 + 7*u**2 - 7*u + 3580. Let y(t) = 7*i(t) + 6*z(t). Find the first derivative of y(g) wrt g.\nAnswer: 7836*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3754*a - 109275. Give h(29).\nAnswer: -409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7844?\nAnswer: 2, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**3 - 2767*b**2 + 2767*b**2 + b**4 - 7*b**5 + 3*b**2 - 3*b**2 - 2*b**5 + (3 + 2 - 4)*(-2*b**5 + 0*b**3 + 0*b**3) + b**5 - 2*b**4 + 2*b**4.\nAnswer: -10*b**5 + b**4 - 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.5 - 13. Let i = 1.6 - m. Which is the second biggest value? (a) -0.3 (b) 2\/11 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -30941.343?\nAnswer: 30943.343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**5)**25 assuming r is positive.\nAnswer: r**125","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3250*i**3 + 1326*i**3 + 964*i**3 + 961*i**3 - 2.\nAnswer: i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 8:45 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1222471 (base 8) to base 7\nAnswer: -2603055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13076 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -11*f + 5. Let s(a) = -32*a + 12. Determine 4*s(o) - 11*v(o).\nAnswer: -7*o - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 71, 165, 287, 431, 591, 761, 935?\nAnswer: 1107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 222\/(252\/(-84))*(-2)\/(-10)*5\/(-2).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2579268837?\nAnswer: 3, 859756279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -47*g**4\/4 - g**3 + 981*g**2\/2 - 2071*g. What is the derivative of z(s) wrt s?\nAnswer: -282*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -164*w + 24. Suppose 48*v - 36 = 60*v. What is the hundreds digit of r(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*f + 231*f + 70 = 259 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 11:16 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ky when two letters picked without replacement from {m: 2, i: 2, y: 1, k: 1, l: 1, v: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 709185954 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -w + 10. What is the tens digit of 99 - 6\/(-4)*w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 98\/3, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + sqrt(119)*-2 + sqrt(119))*4)\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7422 - 7417. Suppose 0*g + 5*g - 15 = 0. Suppose 4*z = g*z + 6. Solve r*i = z*i - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 26 = y - j, -y + 3*j = -12. Solve 5*b + 33 = 4*u, y*u = u + 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w. Let u(h) be the third derivative of -245*h**4\/12 + 4*h**2 - 5. Calculate u(z(l)).\nAnswer: 1960*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccwssssccsccwscwcs. What is prob of picking 4 s?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3512 + 3*c + 553 - 5*c + 225 - 1492 to u + j*c and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(4\/((-8)\/6)). Let j be ((-9)\/(-6)*-2)\/(-5). Sort u, 0.3, j.\nAnswer: 0.3, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + 6\/2 - 1. Which is the closest to 1? (a) z (b) -0.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u + 2. Let s be (27\/36)\/((-2)\/16). Let q be (9\/3)\/s*4. Give n(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -83 + 26. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -1\/16*w**4 + 5\/4*w + 7\/12*w**3 - 11\/8*w**2 - 8. Factor z(q).\nAnswer: -(q - 5)*(q - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2704.7411 to the nearest one hundred.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 13*x**5\/60 + x**4\/12 + x**3\/6 + x**2. Suppose 3*q + 6 = -3*q. Let i be g(q). Solve 4 = 4*w - i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.396 + -0.396. Which is greater: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2148665?\nAnswer: 5, 429733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 4*i + 2*i)*(5 + 3 + 3*i - 2 + 2*i**2).\nAnswer: -6*i**3 - 9*i**2 - 18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -35. Let a be -14*(-7)\/(14\/(-15)). Let s = -75 - a. Calculate the remainder when s is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) -0.4 (c) -0.1243\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**3 + 10*t**2 + 86*t + 70. Let y(d) = d**3 + d**2 + d - 1. Let k(j) = -2*y(j) + z(j). Factor k(v).\nAnswer: -4*(v - 6)*(v + 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.571 + -14173376\nAnswer: -14173377.571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/6, 1\/5, -9614, -0.2, 4?\nAnswer: -9614","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 487861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of d**2\/2 - d - 15. What is a(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 1140*a - 18195. Let v be q(16). Let f(x) be the second derivative of 0 + 12*x**2 - 14\/3*x**3 + 0*x**4 + 1\/5*x**5 + v*x. Determine i so that f(i) = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*x - 2*p + 24 = 0, 0 = 3*p + 9. Let v = 95 - 83. What is the smallest common multiple of x and v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 156 = 2*x. What is the smallest common multiple of 22 and x?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101110212 - -110022?\nAnswer: -101000120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 472146 is divided by 7376.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 a when two letters picked without replacement from vonan?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.126 - -0.274. What is the nearest to -3\/8 in 2, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*y - 266*y + 178*y + 2450 = 0 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**5\/11 + 80*l**4\/11 - 378*l**3\/11 - 1004*l**2\/11 - 544*l\/11 = 0.\nAnswer: -1, 0, 8, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000231 to 5 decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1552904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -456819.\nAnswer: 1827276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1412946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -0.108, 7, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 93457377?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 3*q - 75, 0*s + 4*q = s + 107 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*1 - 36\/(-9). Find the first derivative of 0 - 4 + d**3 - 5*d**u + 5*d**3 wrt d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 g when three letters picked without replacement from unsnwnuguwsl?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -51255.5 and -0.3.\nAnswer: 15376.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*n*o**5 + 4*n*o**4 + 2*n*o**2 - n*o - 21207*n - 91*o**3 wrt o.\nAnswer: -540*n*o**2 + 96*n*o - 546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 + -27. Suppose -2*f + t = -77. What is f rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -19656707 and -19656705 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12472476 (base 8) to base 10\nAnswer: 2782526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1777723 rounded to the nearest ten thousand?\nAnswer: -1780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 u when three letters picked without replacement from arrmaaurcrurjucrrumu?\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 23 - 1. Let g = 40 - -27. Let q = -46 + g. What is the remainder when q is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/24*(-152)\/(-285)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**2 - 671436*l + 112706575524 = 0. Calculate l.\nAnswer: 335718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254895017.\nAnswer: 13, 1429, 13721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 2:10 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -500312, 2\/5.\nAnswer: -500312, 1\/3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - p - 20 = 0. Let s(y) = 2*y**2 + 6*y + 1. Let a be s(p). Let v = 6 + a. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/11 smaller than 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 360592544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -136880 and 32.\nAnswer: -136848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + f = 2*c + 70, 0 = 3*f + 4*c - 133. Suppose 66 = 3*m - 5*d, 3*m - d + 5*d = f. What is the remainder when 64 is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 8:47 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.694135ml in litres?\nAnswer: 0.002694135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.5 and -452.\nAnswer: -678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19830 and 268335.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55377115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/493 + 6417\/3944. Let r be (48 + (-2 - 1))*1. What is the common denominator of (12\/r)\/((-18)\/(-15)) and d?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4036786 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y - 1. Let d(l) = 7*l - 4. Suppose 3*h - 12 = -0*h. Suppose -20 = -6*j + h. Let f(r) = j*g(r) - d(r). Let s(u) = -8*u**2. Calculate s(f(v)).\nAnswer: -72*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -280 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dcl when three letters picked without replacement from whdlc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -2952980 and 7.9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3673 by -88.\nAnswer: -3673\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -35602227 and 6.\nAnswer: -35602221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7780429?\nAnswer: 7780429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 25*y - 1. Let n(s) = -19*s + 1. Let a(k) = -4*n(k) - 3*u(k). Let z be (-1)\/(-2)*(8 - -2). Let o(j) = 2*j - 1. Give z*o(r) - 6*a(r).\nAnswer: 4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l + 7*l**2 + 9*l**4 + l - 3*l wrt l.\nAnswer: 216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 6*o - 3*o - 14 = 0, 5*l - 2*o + 21 = 0. Let y(c) = 4*c + 20. Let q be y(l). Solve q*j = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -156732, -313449, -470166, -626883?\n\"Answer: -156717*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 466715?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*(-6*(1 + sqrt(252))*-4 + 4 + sqrt(252)*1*-3 + 4).\nAnswer: -630*sqrt(7) - 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/10 (b) -4\/7 (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-66)*2\/84*(-2124)\/1416?\nAnswer: -2\/231","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71 - -190. Find the first derivative of 3 - 3*p**4 - o*p**3 + 119*p**3 wrt p.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-22)\/5)\/((-2)\/25) - 6. Solve -18*b + a = -25*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 2)*(2 - 11 + 3)*(h**4 + h**4 - h**4) to the form b + d*h**3 + v*h**4 + q*h**2 + i*h and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 426891005?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**4 - 5*v**4 + 480*v**2 + 15 - 478*v**2 + 115 to the form j + q*v + f*v**4 + y*v**2 + h*v**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, n: 4, i: 3, q: 4, w: 1}. Give prob of sequence wn.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 4*q + 6*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256280921*z**2 + 17*z**3 + 256280921*z**2.\nAnswer: 17*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5.1726144520004 - -0.06\nAnswer: -5.1126144520004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 6)*-1 + (22 - 19).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + k + 9 - 19)*(3 + 3 - 7)*(0 + 4 + 7).\nAnswer: -11*k + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 36360?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/2 - 2)\/(1 - 2). Let i be 81\/18*j\/3. Solve -1 = -w - i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2790 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 9:45 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -x**6\/120 - 3*x**5\/10 + 5*x**4\/6 + 16*x**3\/3 - 1357*x**2. Give j(-19).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 3*y + 2. List the prime factors of k(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in 84, -15, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3635743, -7271457, -10907171, -14542885, -18178599, -21814313?\n\"Answer: -3635714*c - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*s - 3*s = 0. Suppose -2*q + 82 = 4*t, s = 4*q - 2*t - 0*t - 114. Suppose 3*l = 2*r + 2*l - q, 3 = 3*l. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - i - 4515, 115*i + 15 = 110*i. Is 74 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*1\/45 + (-372)\/27\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236.7 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 3*s - 4. What is g(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 40 = -0*p. Let q = 4 - 4. Suppose l + t = -4, q*l + l + 5*t + 20 = 0. Solve l = 3*w - p*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - a - 60 = 0, -3*d - a + 32 = -20. Suppose -5*b + d = -44. Solve 0*i - b = 3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 223 + 23b2a?\nAnswer: 24151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9114?\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - z - 19. Suppose -4*s + b + 8 = -2*b, -s - 11 = -4*b. Let i be u(s). Let f(v) = 17*v**2 - 2*v + 1. Determine f(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 0.04 (c) 0.59 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 3. Let q be d(7). Suppose -3*l - l + 24 = 0. Let g(p) = -p**3 + 8*p**2 - 4*p + 2. Let a be g(l). Calculate the highest common factor of a and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 2*c**2 + 7. Let r be l(3). Let m(h) = -3475*h. Let q be m(r). Round q to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 11*j - 17. Let n(r) = 11*r - 18. Let k be -2 - (-12 + 12\/4). Let h(f) = k*g(f) - 6*n(f). Find the first derivative of h(w) wrt w.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 53 (b) -5 (c) -305 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t - 16. Suppose -2*s + 18 = -l, 16*l - 44 = -4*s + 14*l. What is h(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 388*g - 757. Let o be m(2). Let r(c) = -c**3 + 19*c**2 + c - 24. Give r(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 2)*(l - 4*l + 7*l)*(-11*l - 48 + 13*l + 23).\nAnswer: 32*l**2 - 400*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddfd when four letters picked without replacement from fddddddddddddddddddd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 6*j**2 - j + 5. Suppose -24*s = -1609 + 73. Calculate the remainder when s is divided by h(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 123 + -144. Let r(o) = -o**3 - 22*o**2 - 23*o - 20. Let y be r(q). Let i be 11*(5 - 2 - -2). What is the highest common factor of i and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 + 78040*g + 17608955.\nAnswer: 5*(g + 229)*(g + 15379)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60 + -16. Let m = 1231 + -1201. Calculate the remainder when g is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 120441032 (base 5) in base 14?\nAnswer: 108b61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 297733\/(-5163) - (15\/12)\/(12\/(-16))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j. Let l(x) = -96*x. Calculate l(z(m)).\nAnswer: -192*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1176*m**3 - 1183*m**3 - 1173*m**3 + 3533*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 0 - 2 + 0)*(0*w**3 + 5*w**3 + w**3).\nAnswer: 12*w**4 - 12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 859944170 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 329\/21 + 2\/(-3). Let f = -46\/3 + g. Let w = 11.3 + -8.3. Sort f, 2, w in descending order.\nAnswer: w, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(1216) - 1*sqrt(1216))*1)**2 + (sqrt(1216) + (sqrt(1216) + 2)**2 + sqrt(1216) + 4 - (sqrt(1216) + (sqrt(1216) - -1*sqrt(1216))**2)*2).\nAnswer: -8504 + 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 3 + 15 + 27 + -65\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.12382 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 167*n + 217*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9705 + -572591\/59. What is the nearest to 0 in -0.4, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7725.\nAnswer: 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-3 - 2) - (8 + -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1487592 divided by 13774.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 1)*(0*j - 1 + 0*j + 2*j + (5 - 5 - 2*j)*(3 - 1 + 0)) to f + w*j and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 871 - 2599. Let g = -483 - t. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 145 - 130. Suppose -n*l = l + 640. Let u = l - -45. What is the nearest to u in -2\/17, 1, 3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1.194 (b) 0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -412 - -415. Solve 3*o = g*k + 2 - 11, 0 = -2*k + 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0.11, -0.5, 2\/7?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1476, 3060, 4880, 7056, 9708, 12956?\n\"Answer: 20*f**3 - 2*f**2 + 1450*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -c**4\/4 - 28*c**3\/3 - 17*c**2\/2 - 16*c + 15. Let j be w(-18). Let t = j - -5283. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12302 (base 8) to base 7\nAnswer: -21331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1259 + -1261. Which is the fourth biggest value? (a) h (b) -14\/5 (c) 0.3 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.2 + 1.4. Sort 3, 0.5, b.\nAnswer: b, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 54083\/524 or 102?\nAnswer: 54083\/524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g + 9 + 0 + 6*g - 3*g. Give o(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/19*(18\/45)\/(2\/10).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a**2\/a)\/a)\/(a*a\/(a**(-1\/4)\/a)*a*a)*(a*a\/(a\/(a**(2\/3)\/a))*a*a*a)**(-22) assuming a is positive.\nAnswer: a**(-1019\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4878 - 4874. Which is the third biggest value? (a) 3 (b) -20 (c) -0.4 (d) m (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7663*x + 6. Let f(c) = -9693707*c - 7591. Calculate -6*f(w) - 7591*g(w).\nAnswer: -7591*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1939207 is divided by 3652?\nAnswer: 3647","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - h + h)*(3 - 3 - h**3) + 6*h**4 - 3*h**4 - h**4 + (-7 + 5 + 1 + (-1 + 3 + 0)*(0 + 1 + 6))*(-43*h**4 + 67*h**4 + 5*h**4).\nAnswer: 378*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -680 * -1.293407.\nAnswer: 879.51676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87998, -87946, -87862, -87746, -87598?\nAnswer: -87418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 61730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 314.7 - 298. Let c = m + -17. Sort 2, -0.03, c in decreasing order.\nAnswer: 2, -0.03, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yllelzwbzbwwwyllwbw. Give prob of picking 1 w and 1 l.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -238*a + 12442. What is the least common multiple of j(51) and 874?\nAnswer: 6992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -18.16.\nAnswer: -1.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19211?\nAnswer: 19211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-45)\/6)\/(-2 + (-4)\/(-8)). Let x = 536 + -321. Suppose -3*h - u + x = 0. Round h to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105 (base 10) to base 11\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11281, 12154, 13027?\nAnswer: 13900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 341 and 25534421?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 0\/(-1) - (-9005)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3472 + -62477\/18. Calculate the common denominator of 67\/6 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 7 = -5*k + 20, 0 = 2*x + 3*k - 15. Is ((2 + 7)\/x)\/((-6)\/(-530)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -5*v**4\/24 + 25*v**3 + 40*v**2. Let i be p(29). Solve -3*t + 1 = b + 2*t, -i*t + 21 = -4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - (15\/(-3) + -1))\/1. Let a(w) = w**3 - w**2 - 3*w + 1. What is a(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 196 and 1216229?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 10:51 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1063, 1727, 2391, 3055, 3719?\nAnswer: 4383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -0.3 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + (-5 + 4*sqrt(80)*1)**2).\nAnswer: -640*sqrt(5) + 5236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7*8\/(-224)*-186092 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ogavavvoxta. What is prob of sequence ga?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1614 is divided by 179?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -6.2 >= -1.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 d when two letters picked without replacement from {d: 4, v: 5, j: 3}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.03 - -3.97. Let j = 130400 - 130378. What is the nearest to -1 in -5, c, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -3, -26\/66577, 0.09.\nAnswer: -34, -3, -26\/66577, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**3 - h**2 + 5*h + 4. Let b(u) be the third derivative of -u**6\/120 - u**5\/60 + u**4\/24 + u**3\/6 + 2652*u**2. What is -4*b(i) + l(i)?\nAnswer: 2*i**3 + 3*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 141 = -5*y, 90*y + 11*w - 5*w + 18 = 2*w for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a day in seconds?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 14.307805.\nAnswer: 19.307805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1698, 8, -31 in decreasing order.\nAnswer: 8, -31, -1698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -0.2, -5, 11 in decreasing order.\nAnswer: 11, 2, -0.2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 390 divided by 39\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -761*l**3*u + 311606922*l**3 - 19955*l**2*u wrt u.\nAnswer: -761*l**3 - 19955*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -4b4?\nAnswer: 4b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 332683065 to the power of 1\/2, to the nearest integer?\nAnswer: 18240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2\/3 (b) -2\/5 (c) 11 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 13*p**2 + 21. Let t(z) = 3*z**2 + 5. Suppose 0 = 4*s + 3*r - 8, 4 = 2*s - 2*r + r. What is s*h(y) - 9*t(y)?\nAnswer: -y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 0 + 0)*(-3 + 3 + i**2) + (0 + 0 - 5*i**2 + (-5*i - 3*i + 4*i)*(10*i + 8*i - 7*i))*(2 - i - 2)*(3 - i - 3).\nAnswer: -50*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9067 minus 14?\nAnswer: -9081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -25*b**6\/12 - 24*b**5\/5 + 38*b**4 - 187*b**3\/3 + 153*b**2\/4 - 5*b + 2244. What is v in d(v) = 0?\nAnswer: -5, 2\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-1) - (-806)\/234?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/498 in -2, -0.4, -0.068, 71?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -148162, -148157, -148152, -148147, -148142, -148137?\nAnswer: -148132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3011 is divided by 338.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119542 is divided by 204?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2.4427 - -5.2168\nAnswer: 2.7741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/6, -3, -5\/4, 1 in ascending order.\nAnswer: -3, -5\/4, 1, 7\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 6.7?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -115, -118, -121, -124, -127?\n\"Answer: -3*u - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -19\/2. Suppose g = -3*t, -g = g. Factor k*v + t + 5\/4*v**2.\nAnswer: v*(5*v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 g when three letters picked without replacement from bghhpagn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2052 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -0*i - 4*i - 10, -3*i + 2 = m. Suppose b - 2*q = -9, 3*q = -m*b - 2*q + 27. Suppose 10*o - o = 0. Sort b, -4, o in descending order.\nAnswer: b, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + y - 3 = -3*c, 0 = 5*y - 2*c - 20. Let i(a) = -6*a - 15. Suppose 4*t + 0*t = 0. Let b(n) = 1 + t + 7 + 3*n + 0. Determine y*i(w) + 11*b(w).\nAnswer: -3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 5*c**3\/18 + 20*c**2\/3 + 160*c\/3 - 58. Factor q(n).\nAnswer: 5*(n + 8)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4 + 2 + (-9 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 96\/185 - -3\/37. Sort b, -0.2, 2 in increasing order.\nAnswer: -0.2, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + t + 522 - 10 = 0, 0 = -t + 3. Let o = n + -96. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -6. Put 2, 0.4, l in ascending order.\nAnswer: l, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 64*d = 58401. Suppose -934*n + d*n + 56 = 0. Solve n*r - 6*r = 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 4535 (c) 1 (d) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - (sqrt(119) + -2*sqrt(119) + sqrt(119) + sqrt(119))*-2)\/(sqrt(70)\/sqrt(90)) - (1*sqrt(425)*1 + -1).\nAnswer: 1 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/612 and -71\/552?\nAnswer: 28152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r - 2. Let m be z(6). Suppose -m - 10 = -4*u. Suppose 3*a + 5*t + 18 = 0, -u*t - 4 - 11 = 0. Sort -4, 5, a in increasing order.\nAnswer: -4, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26691\/11 + -2427. Let x be ((-18)\/(-8))\/3 - (-20 - -20). Which is the fourth smallest value? (a) -3\/8 (b) 5 (c) n (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13a4 - -3?\nAnswer: 13a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4490 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 432211, 432186, 432151, 432112, 432075, 432046, 432031, 432036?\nAnswer: 432067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - (-1830)\/(-63))*-3. Let o = i + -90. Let j = -1673.7 - -1674. Which is the closest to 1? (a) o (b) j (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 774\/(-645)*(-5)\/2. Solve 3*v = 10*h - 11*h + 12, -2*h = j*v - 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*z + 52, r - 6*z = -7*z + 47. Let w be (-32)\/r*(-12)\/(-8). Suppose -82 = -3*i - 25. Which is the closest to w? (a) -0.4 (b) i (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31676 - 22071. Suppose 2*g + z = -3*g. What is g rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a gram in milligrams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -695 + 5072?\nAnswer: 4488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.13 - -0.37. Let z = -675.53987 - -675.3. Let d = z + w. What is d rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.1 - 15.68. Let i = u + 2.03. Round i to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33.62 * -3.\nAnswer: -100.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4675 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 - -114. Let h = -21 + o. Let a = h - 30. Put 12, 5, a in descending order.\nAnswer: 12, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*g - 176*g + 56*g + 61*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6434 or 6435?\nAnswer: 6434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 17*l - 13*l)*(l + l - 3*l) + (2 + 0 + 0)*(2*l**2 + 0*l**2 - l**2).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 22 + 8 = 0. Let y(x) = x - 1. Determine y(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -13. Suppose -13*n - 12 = -r*n. Calculate the greatest common factor of 36 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 11*h**2 - 36*h + 31. Let m = -798 - -788. List the prime factors of r(m).\nAnswer: 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 0. Let h = t + 0. Let x = 9 + h. What is the nearest to x in -5, 3\/4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51092\/9640)\/((-10)\/(-100)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 - -40. Suppose 0 = 2*m + 4*i - i - 14, i = -3*m + s. Solve m*u = -3 + 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 4*d - 4421 + 4445 = 0, -4*c - 4*d + 32 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 565406*k**4*p**2 + k**2*p**2 - 18*k**2*p - 65*k*p - 4*p wrt k?\nAnswer: 13569744*k*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 8 = -2*i. Suppose -2*a - 566 = 4*q, 5*a - 288 = 3*q - 1768. Let t = 302 + a. Calculate the remainder when t is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*a - 1 = 5, 0 = 5*n + 2*a - 21. Suppose 4*x + n*k = 3*x, -5*x = k - 42. What is the remainder when x is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 plus 35353.149110757?\nAnswer: 35317.149110757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/(-9))\/((-4)\/(-6)). Suppose -5*v - y + 32883613 = -83116385, 3*v = -x*y + 69599992. Round v to the nearest one million.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45362 (base 8) in base 6?\nAnswer: -224454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*z**2 + 27*z - 2*z**5 + 0*z**5 - 27*z wrt z.\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from ladajaaleapaap?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 9*s**5 - 8*s**4 - 3*s**3 + 22*s**2 - 28*s + 3. Let q(h) = -13*h**5 + 12*h**4 + 5*h**3 - 34*h**2 + 42*h - 5. Let p(b) = -7*i(b) - 5*q(b). Factor p(v).\nAnswer: 2*(v - 1)**4*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1113)\/(-27) - (-2)\/(-9). Suppose 27 - 5 = 11*n. Solve 0 = -3*p + 12, 5*v + 2*p + n*p - k = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*((-26)\/(-30))\/((-214)\/535).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*l = -34*l - 12675. Suppose 5*b = 4*o + 4755, 12*b - 4*o = 13*b - l. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80966.886 hours to weeks.\nAnswer: 481.94575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -10*h**4\/7 - 6*h**3 - 18*h**2\/7 + 58*h\/7 + 12\/7 = 0.\nAnswer: -3, -2, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.8 or -10172\/3?\nAnswer: -10172\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46*a**6*m + 499292*a**4*m**3 - 32*a**2*m**3 + 322502*a**2 wrt a.\nAnswer: 5520*a**3*m + 11983008*a*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) -2 (c) 246\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9.639885 micrograms?\nAnswer: 0.000000000009639885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(-1)*-274*(-2)\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2 + sqrt(175)) - 1*(sqrt(7) - (-4*sqrt(343) + sqrt(7)))) + 2.\nAnswer: -33*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 503240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*u**3 + 7*u + 5419*u**2 - 5420*u**2 - 25*u**3 + 2 to b*u + q + w*u**3 + a*u**2 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27106593?\nAnswer: 3, 71, 127261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) -13 (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 163 + -69. Suppose 5*m = d + 8 + 51, -l = 2*d - 4*m. Let i be ((d - 1)\/(-4))\/2. Solve -4*j - 12 = -2*u, -i*u - j - j = 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p + 103862 = 2*z + 14*p, -5*p - 103878 = -2*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 111214?\nAnswer: 111223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -182, -192, -192, -176, -138, -72, 28, 168?\nAnswer: 354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdbmrwrmrdddrrmbrmrr. Give prob of picking 1 w and 1 m.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5473 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/(-10)*(-1)\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 23.823 and 0.1304167492.\nAnswer: 23.9534167492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.07 + -0.08. Let l = w + -0.49. Which is the second biggest value? (a) 1 (b) l (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 4. Let s = -7.5 - -8. What is the third smallest value in 1, s, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 12:44 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2f30e (base 16) to base 4\nAnswer: -233030032","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63203576.\nAnswer: 2, 19, 163, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5548*r**2 + 4650*r + 3. Let q(z) = -5549*z**2 - 4713*z - 2. Let w(t) = 2*a(t) + 3*q(t). Find the second derivative of w(f) wrt f.\nAnswer: -11102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 3*m + 128, 75*o = 203*m - 199*m + 243 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1639 - -1641. Let b = 170 + -165. Solve 5*o + r = -c - 12, -b*o = 10 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**4\/8 + 11*o**3\/6 + 3*o**2. Suppose 5*k - 17 = -2. Calculate the remainder when k is divided by c(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3.279406ng?\nAnswer: 0.000000000003279406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 166*u - 7 + 122*u - 240*u + 12.\nAnswer: 48*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5733642943.\nAnswer: 7, 191, 4288439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1063335?\nAnswer: 3, 5, 7, 13, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppzzzpppzzpzzzz. Give prob of sequence zzp.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*135\/(-20)*24. Suppose -c*y = -164*y + 86. Is 43 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1079523.29 to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 10\/9 (c) 12\/371 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**2 + 83*y - 9 + 11*y - y**2 + 0*y**2.\nAnswer: -y**2 + 94*y - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -19365786.2 rounded to the nearest ten thousand?\nAnswer: -19370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 163810000 to the nearest 1000000.\nAnswer: 164000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*x - 21, -5*i = -2*x - 2*x + 27. Suppose -a + 3*o + 13 = x*a, 41 = 3*a + 4*o. Solve g + a = 4*c, g - 7 = -5*c + 2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 12*q - 10. Let p(v) = v**2 + v - 1. Let t be p(3). Let m be h(t). What are the prime factors of 0*(-1 - m)\/2 + 119?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-533*f - 558*f - 7406 + 7406)*(-5*f + 4*f + 0*f) to the form c*f**2 + u*f + b and give c.\nAnswer: 1091","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4889849?\nAnswer: 109, 113, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**2 - 2*n. Let r(z) = z**2 + z - 1. Give -3*r(a) - y(a).\nAnswer: -a**2 - a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**6\/30 - q**4\/6 + q**3\/6 + 31*q**2. Let l be p(2). Suppose 22*s + 297 = l*s. What are the prime factors of s?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) + -4*(sqrt(833) - (sqrt(833) - sqrt(833)*4)))**2 + 5 + -4*sqrt(833))*-3*6.\nAnswer: -3373740 + 504*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0*4\/(-8))\/(-1). Is z at most as big as -6\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3278648 - -103?\nAnswer: -3278545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -9*r**4 + 52*r**3 - 4*r**2 - 2. Let l(i) = -2*i**4 + i**3 - 2*i**2 - 1. Let j(t) = 2*l(t) - s(t). Factor j(y).\nAnswer: 5*y**3*(y - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 741 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 6*m - 1. Let i be h(-4). Let r = i - -36. Calculate the least common multiple of r and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26689\/9278 greater than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxzxxxzx. What is prob of sequence xzxz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 10 = -z. Which is the closest to z? (a) -1\/5 (b) -0.11 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**2 + 6*b**2 + 4*b**2)*(84*b + 82*b - 27*b)*(1 + 4 - 4).\nAnswer: 695*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/168, 1\/3, 2\/13, 20.5, 5\/3?\nAnswer: -1\/168","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 135133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 14) in base 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -75357318 divided by 6582\nAnswer: -11449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 439 - 201 = 0. What is the smallest common multiple of m and 12?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/3 - (-7 + 13 - 2).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69328 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3194799187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124181 is divided by 131?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8, 7, 4, -1?\n\"Answer: -g**2 + 2*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -149, -2, 2, 35?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7185410*c**4 + 5626294*c wrt c.\nAnswer: 86224920*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7*((-11)\/7 - -2). What is the third smallest value in -1.2, v, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -267, -513, -769, -1041, -1335?\n\"Answer: -f**3 + f**2 - 242*f - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4692)\/391*(-4)\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eu when two letters picked without replacement from {e: 1, u: 1, r: 1, d: 1, j: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-2))\/((-15)\/6). Suppose 0 = 5*i - d - 4 - 1, 5*i = 3*d + 15. Suppose -z + 0*z = i. Which is smaller: p or z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/11470 and -9\/1295.\nAnswer: 80290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 628920.8 millennia to decades.\nAnswer: 62892080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 939 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: Rearrange (-39*f**3 - 151*f + 151*f)*(-8 + 8 - 2) + 6*f**3 - f**3 - 2*f**3 to c*f**3 + q + l*f + a*f**2 and give c.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 - -83\/2. Let i = -8.17 + 8.57. Put i, -2\/35, m in increasing order.\nAnswer: -2\/35, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 48087*v + 817778. What is g(-17)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.22 + -0.22. What is the nearest to -2\/5 in -0.4, u, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from lgccgqklcc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**3 + 40*y**2 - 28*y + 4. Let p be a(-14). What is the units digit of (p\/(-16))\/((-5)\/860)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 7*i + 2. Let l be b(6). Let s be (-6)\/(-4)*l\/12. Which is greater: s or -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 23. Suppose -p = 3*f - u, 4*p = 24 - 8. Find the second derivative of -6*w**2 + f*w**2 - w**4 - w wrt w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/72 and 57\/56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t**2 - 61*t + 28. Give g(15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/14 + (-62)\/7 + 9. Which is smaller: 5\/29 or b?\nAnswer: 5\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 133492 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 103, 4, 5, 13, -5, -13, 9 in ascending order.\nAnswer: -13, -5, 4, 5, 9, 13, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-35)*(-329)\/(-47).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.074 - 18.574. Let m = b + -1.7. Let o = 20 + m. What is the smallest value in -2\/11, 0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t. Let i(h) = -35*h + 52*h - 28*h. Calculate i(d(o)).\nAnswer: -22*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g - 2*g + g)*(-g - 2*g + 2*g) + (962 - 962 + 437*g)*(-g - g - 7*g) to p + m*g**2 + s*g and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.63 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*t = -65*t + 90 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 12 + 0)*(0*o**2 - 3*o**2 - o**2) - 3*o**2 + 7*o**2 + 0*o**2.\nAnswer: 28*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -39614 (base 10) in base 2?\nAnswer: -1001101010111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uauit. Give prob of sequence ui.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t**2 - 327*t - 3902. Determine n(93).\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00041474939 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 741?\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5*o**2 - 4*o + 4. Suppose -z - 3 - 2 = l, 0 = -5*l - z - 13. Let i be (3 + -4)*(0 - (l - -3)). Let g(r) = -1 + 0 - r - i + 3. What is -4*g(n) + w(n)?\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1642 (base 8) to base 11\nAnswer: -776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 558 and 930?\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.285 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g**2 + 61*g - 596. Let q be y(15). Suppose -6*m + 90 + 228 = 0. What is the greatest common divisor of m and q?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 9*f**9\/28 - 6*f**5\/5 + 31*f**2 - 76*f. Let m(u) be the first derivative of k(u). Find the third derivative of m(g) wrt g.\nAnswer: 19440*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -528 at most -116609\/221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-192 - -198) + 7*26\/(-30)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mdm when three letters picked without replacement from ddmdddddmmdmdddmmdm.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**3 + j**2 - 1. Let f be h(1). Let m be (-25)\/(-9) - 1606\/584. Are m and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 7*w**2 - w - 2. Let a be y(-7). Suppose a*p - 350 - 33 = -3*u, -5*u = -p - 629. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 12*s - 79. Let q(d) = -3*d**2 - 77*d - 33. Let x be q(-25). Let p be f(x). Solve -6*b + p = -12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekkeeuekeeukk. Give prob of sequence eu.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -1 - (-630 + 611)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 6:18 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 + 29. What is the second biggest value in 0.4, c, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 460533939 greater than or equal to 460533937?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 7*l + 35 = -5*k, -5*l = k - 23. Solve i + l*g = -i + 7, -4*g = -i - 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 199920, 399569, 599218, 798867, 998516, 1198165?\n\"Answer: 199649*l + 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3842304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 1195076?\nAnswer: -3585228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -39451 + 0?\nAnswer: -39451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 21\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73 + 136. Let r(s) = s**3 - 8*s**2 - s + 18. Calculate the lowest common multiple of (-1)\/2 + a\/14 and r(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 1 - 39\/30*2. Let u = -11.5 - -12. Let g = -2.18 - -0.18. Which is the third smallest value? (a) g (b) u (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1668\/16 + 1\/(-4). Calculate the highest common factor of 26 and c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -0.4, 2\/3, -5.\nAnswer: -5, -0.4, 2\/3, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 858.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z + 2*z**5 - 4*z + (3*z**2 + 0*z + 0*z)*(z**3 + z**3 - 5*z**3).\nAnswer: -7*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p + 4*p + 3*p + (-4 + 0 + 2)*(-2*p - 10*p + 4*p).\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27693356 is divided by 602029?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-132)\/(-12))\/11 + 22\/(-18).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*w**2 + 41*w**2 + 36*w**2 - 188*w**2 + 42*w**2 + 34*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -25*f**2 - 5*f - 9. Let w(n) = -56*n**2 - 11*n - 20. Let r(a) = -4*w(a) + 9*z(a). Let p(s) = 7*s**2 - 2*s - 1. Calculate -p(j) + 2*r(j).\nAnswer: -9*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 99 + 6. Let x = t + 5. What is the greatest common divisor of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11020010 + 1?\nAnswer: 11020011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9376697 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -144 - -140. What is the nearest to -3 in i, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -47, -60, -95, -158?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13.24317km?\nAnswer: 13243170000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4, -5, -16, -43, -92, -169?\n\"Answer: -b**3 + b**2 + 3*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12542?\nAnswer: 2, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.51 + 68.81. Let s = -56 + i. Let d = s + 0.7. Which is the third smallest value? (a) d (b) -3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 227, 172, 129, 104, 103, 132, 197, 304?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/13 + (-1722)\/4264?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/106)\/(135\/540)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437.\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12279 is divided by 101.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 2:35 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -6. Let l(q) = q**3 - 7*q**2 + 5*q + 7. Suppose d - 2*d = -2*v + 16, 3*v - 3*d - 30 = 0. Let w be l(v). Is w greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86 divided by 43\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -105 + (-13 - -79) + 41?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4047 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**2 - l + 8. Let g be b(0). Let z be (0 + (-4)\/g)*-10. Let d = 3 + -2.6. Sort -5, d, z in decreasing order.\nAnswer: z, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 19. Let d = u - 17. Let b = d - -10. Sort b, 0, 1 in ascending order.\nAnswer: 0, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 10:27 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 10*q - 7. Suppose -3*x + 50 = 4*c - x, 21 = 3*c - 4*x. Let i be n(c). Sort 7, 1, i.\nAnswer: 1, i, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*c + 200 = -128. Solve 0 = -6*y + 2*y + 3*z - c, z = 5*y - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -514992*l**2 + 22045 with respect to l.\nAnswer: -1029984*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3430275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1571 + 416 + 5*f**3 - 2299 - 6*f**3.\nAnswer: -f**3 - 312","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1471114*m - 1471129*m + 570 for m.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 h when two letters picked without replacement from {k: 1, h: 1, m: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + c**2 + c + 3. Let g be 0\/((-12)\/(-9)*-3). Let u be f(g). Suppose 4*a - 1213 = -5*q, 2*a - 4*q = -u*a + 1547. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -286 times -0.2\nAnswer: 57.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+110889\nAnswer: 110889.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 - -35. Suppose 5*d + 126 = q*y, -4*d = 4*y - 3*d - 138. What are the prime factors of y?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -147000 rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, r: 4, t: 1, a: 1, n: 1}. What is prob of picking 1 a and 2 f?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/239 (b) 5 (c) -5\/1217\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**5 - 8*o**4 - 9*o**3 - o**2 + 7*o + 3. Let m(h) = -6*h**5 - 47*h**4 - 53*h**3 - 5*h**2 + 42*h + 18. Let d(c) = 6*m(c) - 34*y(c). Factor d(u).\nAnswer: -2*(u - 1)*(u + 1)**3*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 129218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**10)**(-26)*(x**(-9))**(-4\/17) assuming x is positive.\nAnswer: x**(3572\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**2 + 36*q + 3. Let r(m) = -15*m**2 + 182*m + 16. Give 11*i(p) - 2*r(p).\nAnswer: -3*p**2 + 32*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174051715 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 5 + 22. Solve 3 = -3*w + 5*o, -4*w = -u*w - 5*o + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -65*(-2)\/20*4. Calculate the greatest common divisor of 3146 and p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3\/4 - 84069*m**2\/4 - 84072*m - 84073 = 0.\nAnswer: -2, 84073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33466 + 33469. Suppose k - 5 = -0*k. What is the nearest to -0.2 in -3, z, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 2*q - 32. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = 3*k + 8*n - 158, 0 = 5*k + 4*n - 234. Solve 53*p - k*p = -15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 - 7*r + 8. Let q be z(4). Suppose -2*u + 25 = 4*i - 7*u, -4*i - 4*u = -52. Let x = q + i. What is the remainder when 85 is divided by x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -14. Suppose 4*j + 29 = 9. Put r, j, 2 in descending order.\nAnswer: 2, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*y + 636 = 0, -3*y - 246 = 2*f - 7*y. Let w = -64 - f. Let j = -49 + w. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 164331514 - -5?\nAnswer: 164331520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -11*u + 6*u - 33, 9 = q - u for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/1*(-7)\/7. Calculate the common denominator of 39\/8 and (-335)\/(-15)*y\/3.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/3489 - -352405\/27912. What is the common denominator of -77\/2 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 r when four letters picked without replacement from {r: 2, v: 9, f: 3, z: 4, n: 1}.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 90*j**4 - 93.\nAnswer: 360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -85*r**2 - 31*r + 17*r + 68*r**2 + 14*r. Let o(a) be the first derivative of 3*a**2\/2 + 1. What is o(z(c))?\nAnswer: -51*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -92\/45 and -179\/57900.\nAnswer: 173700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16175?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26156, -209107, -705576, -1672289, -3265972, -5643351, -8961152, -13376101?\nAnswer: -19044924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(4*d + 2*d + 4*d).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -926 = -2*s - 3*o, -24*s + 2293 = -19*s + 2*o. List the prime factors of s.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 2*u**2 - 3*u - 1\/10*u**5 - 1 + 0*u**4 + u**3. Let b(d) be the first derivative of f(d). Factor b(a).\nAnswer: -2*(a - 2)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.3, -3, -1, -0.4, -0.1, 65 in decreasing order.\nAnswer: 65, 2.3, -0.1, -0.4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/6086 and 115\/72.\nAnswer: 219096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (5 - 2) - -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34.9574 + -34.9. Round r to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x. Let b(d) = 99*d + 2. What is b(v(l))?\nAnswer: -396*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5387953820?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*b**5 + 67723*b**3 + 5*b**2 + 12049 wrt b?\nAnswer: 1320*b**2 + 406338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u + 2*u - u)*(8*u + 44*u + 52*u)*(-2*u + 4*u - 4*u)*(-2 - 2 + 17) as t + p*u + l*u**2 + y*u**3 and give y.\nAnswer: 5408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.0093, 5, -0.053?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9158)\/19280)\/(3\/(-45)))\/(-3).\nAnswer: -19\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/((-663)\/34)*-5*(-63)\/35\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**4 - 142*b**3 - 729*b**2 - 882*b = 0.\nAnswer: -3, -2, 0, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4060854 and 1134.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b**2 - 2*b + 3. Calculate i(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0293 - -44.9707. Which is the third biggest value? (a) 2 (b) p (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 103 = 9*l. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or -332?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 3, -4, -0.1, -14?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6511.\nAnswer: 17, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 48187 divided by -453?\nAnswer: -48187\/453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 5*y + 3408 - 10188, -y + 4 = 0. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*k + 8. Let q(f) = 12*f**3 - 23*f**3 - 8*f + 7 + 12*f**3 - 4*f**2. Give q(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*s**5 + 16*s - 11*s + 14*s wrt s?\nAnswer: -280*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 + (1 - (13 + -15)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*k**2 + 5 - 3 - 9*k**2 + 5.\nAnswer: 13*k**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g + 1. Let n be x(0). Let q be (2\/n)\/(8\/108*3). Solve i - 5 - 8 = 5*d, -3*i = d + q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -46*g**2 + 4*g**4 - 40*g**3 - g**4 + 40*g + 74 - 7*g**4 - 10 - 14*g**2 = 0.\nAnswer: -8, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 9 (b) -4 (c) 0.27 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6566 and 21093275?\nAnswer: 42186550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*32273.\nAnswer: 12909.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 48769215 divided by 295571\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16523 or 16522?\nAnswer: 16522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/9 - 784179244*s\/9 - 76867135840051442\/9.\nAnswer: -2*(s + 196044811)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -18530607 + 0.6926?\nAnswer: -18530606.3074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - 5*w + 35, -2*q - 22150 = -2*w - 22136 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -16*h**3\/3 - 23*h**2\/2 + 7*h. Let z be d(-12). Suppose 2*r = r + z. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 431*a**2 - 159*a - 175. What is the units digit of r(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00189374 rounded to four dps?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325 at most as big as 1330?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u - 29. Calculate w(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2146.9 + -2146.6. Which is the closest to -0.1? (a) 6 (b) 0 (c) 16\/3 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1009724 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: Solve -38*r - 1165 = -711 - 948 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 0.2682, 4?\nAnswer: 0.2682","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*j**6 + 158*j**4 + 10234*j**2?\nAnswer: -840*j**3 + 3792*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-12)*2)\/((-2)\/1050). Suppose 0 = s - 4*i - 511, i + q + 350 = 2*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -518\/675917?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*l - 45 = 0, -2*x = -7*x + 2*l - 291. Let y = -36 - x. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7562658 divided by 4.\nAnswer: -3781329\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2737*j + 390 = 2744*j - 429. Which is bigger: 133 or j?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 698, 1, -4, 4 in descending order.\nAnswer: 698, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*x = -5824 - 12160. Calculate the remainder when x is divided by 85.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 + 2 - 37*y**2.\nAnswer: -37*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (3 + 2 - 2) - -9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1118 is divided by 21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f\/(f\/(f*f**0)))\/f)\/f)\/f**(1\/5))**(20\/3) assuming f is positive.\nAnswer: f**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6) + -912*66\/(-4752)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*h - 55*h - 101*h + 78*h.\nAnswer: -172*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 477 in ascending order.\nAnswer: -4, 0, 477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00097825625 rounded to 7 decimal places?\nAnswer: 0.0009783","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -r - 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8.9943 and 69.\nAnswer: 620.6067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6*m + 280 = 9*m, -4*i + 560 = -4*m. Calculate the smallest common multiple of 154 and i.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4039.\nAnswer: 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -18. Let n = 31 - s. Suppose 0 = -d - 3*d + n. Solve 5*y = 25, 0*y + d*y = -o + 28 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19510174?\nAnswer: 2, 37, 263651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 283 + -577. Let t = 673 - m. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4*sqrt(11)*2 - (2 + sqrt(1584) + sqrt(1584)))**2.\nAnswer: 384*sqrt(11) + 33804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -542 + -87302\nAnswer: -87844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26114897167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24759557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 4*q, u = 500 - 500 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4*2\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106502 (base 7) to base 10.\nAnswer: 19112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.691 - 1.309. Let u = 18.037 + -18. Sort u, k, 1.\nAnswer: k, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -14. Let q(b) = -b**2 - 6*b - 4. Let x = -74 - -84. Calculate the least common multiple of x and q(h).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = l + 94. List the prime factors of (2\/(-3))\/(7\/l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -1\/6*s**4 - 1\/3*s**3 + 1\/20*s**5 + 0*s**2 + 0 - s. What is the units digit of b(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -16, 1 in descending order.\nAnswer: 1, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7635*j - 5619*j - 357858 = 0 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -166940 and -166947 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.85 - -1.850317. What is a rounded to 5 dps?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1969 (base 15) in base 13?\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 78*x - 3. Let c(n) = -2*n**2 - 76*n + 1. Let q(d) = -c(d) + m(d). Let f be (-2)\/(-4) - (-10)\/(-4). What is q(f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c + 202. Let k(o) = 5*o + 201. What is -6*a(r) + 5*k(r)?\nAnswer: r - 207","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 901 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -4. Differentiate q**k + 14 + 5 - 10 wrt q.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/10)\/(161\/(-115)). What is the third biggest value in 0.1, -11, 2\/9, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -2 + 2 - (-25 + 24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -b - 10. Let m be (-18)\/b + (-9)\/15. Suppose m*q + 2*q - 43 = 3*j, -2*q - 3*j + 13 = 0. Calculate the remainder when q is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 18\/5 of a microgram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8215 divide 1911314115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/96 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {g: 2, v: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 17*s - 746. What is t(44)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -25*y + 55636. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7\/3 + 5\/6. Let o = -23 + 26. Let f be o*(-8)\/132*-1. Sort b, f, 3 in descending order.\nAnswer: 3, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.33 - -0.03. Let o = 3.9 + 0.1. Let i = 1 + o. Which is the second smallest value? (a) i (b) r (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7852 - 3?\nAnswer: 7848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 11:28 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9151\/810 - 113\/162. Let w = -33 + 19. Let j = -4 - w. Which is smaller: j or g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c - 5. Let l be a(-8). Let u(v) = -1 - 3*v**l - v**2 - 5*v + 3*v + 2*v**3. Suppose -51 - 31 = 82*d. Determine u(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k**2 + 6*k - 7. What are the prime factors of c(-5)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 5, 0, -0.07, -537?\nAnswer: -537","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (-9)\/((-36)\/80). Solve w + r = -3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -8*d**2 - 449*d - 381. Calculate r(-55).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 189 + 1085. Does 14 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ceaaaca. What is prob of picking 3 a and 1 c?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 11, 30, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -608, 2, -6 in ascending order.\nAnswer: -608, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18488 is divided by 9244.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 - 8*x**3 - 3*x + x + x**3.\nAnswer: -9*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 5. Suppose -21*q - 13 = -118. Put t, q, -1\/96 in ascending order.\nAnswer: t, -1\/96, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24.98 + -24.979998883. What is b rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/17, -0.189, -0.09?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 42\/14 + 3 + -1. Let d(p) = p**3 - 4*p**2 - 4*p - 2. Let f be d(x). Suppose -17000 = f*w + 2*w. Round w to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -1\/39 (c) 2\/67 (d) -4 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 713454091?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 77, -0.038, 0.4?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tddtddjddssdrsrdm. Give prob of picking 1 d and 1 m.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n + 1. Give o(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 6*y**2 + 5*y + 5. Let c be i(6). Suppose -6*b + c = -b. Suppose -2*a + 28 + 42 = 0. What is the highest common divisor of b and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 20*t + 10. Let r = 1099 + -1098. What is the smallest common multiple of r and u(6)?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000026014916 to seven decimal places.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2538878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 0*p - 10\/3*p**3 - 2*p**4 + 6\/5*p**5 - 43 + 2*p**2. What is x in s(x) = 0?\nAnswer: -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -3*q + 3. Let a(f) = 2*f**2 + f - 1. Let z be a(q). Suppose 548 = z*o - 1010. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) + (sqrt(70) + (sqrt(70) - (sqrt(70)*1 + sqrt(70)) - sqrt(70)))\/sqrt(2))*-5)\/(-3*-3*sqrt(20)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3022.821mg to tonnes.\nAnswer: 0.000003022821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**3 - 3*k**2 + 3*k + 11. Calculate y(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18804419 - 7227598. Let k = 11576334.9589 - t. Let s = k - -486. Round s to 3 decimal places.\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -23. Suppose -2*g - 1030 = -z*j, 0 = 2*j + 3*g + g - 412. Let p(o) = -4 + o - 207*o**2 + 4*o + j*o**2. Determine p(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 559932282 to the nearest integer?\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*g - 12*g - 347 - 229 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 70769232 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c**2 + 108*c - 698. Determine y(27).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20694 divided by 6?\nAnswer: -3449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 10*d**2 + 2*d - 15. Let w be u(10). Suppose 0 = -w*m + 4*m + 18. Calculate the highest common factor of 18 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u - 5*u + 8*u - 400000 - u. Let n be l(0). Round n to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 c, 1 m, and 1 k when four letters picked without replacement from kmvvmkmkcmivkmvkvmk?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.041, -2\/9, -9 in increasing order.\nAnswer: -9, -2\/9, -0.041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 (base 10) in base 7?\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) 2 (c) 1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-21)\/(-35)*(-2)\/42.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -18.371+-41.94182113\nAnswer: -60.31282113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 38229361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 65556*q - 4. Let h(d) = -3*d. What is h(w(j))?\nAnswer: -196668*j + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/585 and -5\/91?\nAnswer: 4095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 413 - 413. Solve y = 3*f - 3*t + 2 + 7, 0 = -f + 4*t - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/5)\/(20\/(-75)))\/(63\/126)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, 14, -14037, 0.1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 + -3?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3337341601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1897668 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1))**(5\/2)\/((o\/(o**(-2\/13)*o))\/o*o**8))**(-39) assuming o is positive.\nAnswer: o**(753\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 417 = -2*k - 611, -2*k + 261 = 3*o. Is -23 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/((-45)\/25)*(-18)\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1216390.019 and 5.\nAnswer: -1216385.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1540 - 1526) + -9 + -2 + (2 - 3) - 21?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/4 of a minute?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349090?\nAnswer: 2, 5, 7, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110674 (base 9) to base 8.\nAnswer: -201163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1*sqrt(117) + sqrt(117)))\/(sqrt(54)\/sqrt(6)*4 + sqrt(9))*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, -159, 194, 1.\nAnswer: -159, -5\/4, 1, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2. Let t(p) = -11519788*p**2. Calculate m(t(y)).\nAnswer: 265411031129888*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + 67. Suppose 0 = -n - 2*n + c. What is the greatest common factor of 243 and n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, n: 2, k: 1, v: 1, l: 1, x: 2}. Give prob of picking 2 x and 1 u.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 13, 3 in ascending order.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**2 + 3*v + 1. Suppose 5*x + 5 = 2*l + 29, 4*x - 8 = -4*l. Determine o(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 5. Let n(a) = -2*a. What is n(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/4056 and -61\/120.\nAnswer: 20280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2304, -2299, -2268, -2193, -2056?\n\"Answer: 3*f**3 - 5*f**2 - f - 2301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*y + 10, 0 = -4*a - y - y - 10. Let w = -5 - -8. Suppose w*m - 9 = -a*m. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 254*j**3 - 6*j + 2. Let i be h(5). Let s = i + -20422. Round s to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25222474127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 122 = -n. Let f = -27 - n. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 7:41 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-47)\/4)\/(284\/142*(-8)\/(-256)*4)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/22)\/x**(-4\/13)*(x*x*x**(1\/6))**(-2\/67) assuming x is positive.\nAnswer: x**(11357\/57486)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*w**2 - 276*w**2 + 84*w**2 + 87*w**2.\nAnswer: -17*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 37*x - 83*x + x**3 + 32*x - x**2 to the form m*x + k*x**3 + s + t*x**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389102878?\nAnswer: 2, 37, 823, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 1815?\nAnswer: -1813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 + 49656*r**2 + 297880*r + 397152.\nAnswer: 2*(r + 2)*(r + 4)*(r + 24822)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = y - 5*q, -2*y + q + 30 = 36 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(612) - (4 + -2*sqrt(612))) - (5*(sqrt(612) - (1 + sqrt(612))) - 1*1*sqrt(612)))*-5*2)**2 + 4.\nAnswer: -25200*sqrt(17) + 2999704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -13*p**2 + 930*p - 430. Give n(71).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -499.5525 minus 0.5?\nAnswer: -500.0525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 8:26 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 25 = -4*i, f = -i - 0*i - 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -135*u - 95. What is the remainder when 186 is divided by n(-1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**2 + 0*x**2 - x**2 + (3 - 3 + x)*(-3*x + 0*x - x) + 0*x**2 + x**2 - 2 + 5 + (1 - 3 + 3)*(2*x**2 + 0*x**2 - 4*x**2).\nAnswer: -3*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 20*i**2 - 19*i - 24. Let p(r) = 2*r**3 - 20*r**2 + 19*r + 25. Let u(q) = -2*p(q) - 3*t(q). Suppose -15*y + 735 = -50*y. Does 16 divide u(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -158 or -157?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 times 3345?\nAnswer: 287670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78255650 and 23804?\nAnswer: 11902","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -10404843?\nAnswer: -10404847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 - 1. Let j(f) = 6*f**2 - 3. Let m = 3 + -1. Let h be (1 - m) + -7 + 2. Let t(r) = h*j(r) + 17*c(r). Differentiate t(i) wrt i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13130 and 2730.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 261040 (base 8) to base 12.\nAnswer: 44568","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is -27470103 + 16142664?\nAnswer: -11327439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 9*d**2 + 2*d + 11. Let h(x) = -18*x**2 - 4*x - 22. Determine 4*h(y) + 7*s(y).\nAnswer: -9*y**2 - 2*y - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + 6 + -8 - (-1 - -4). Suppose j*g = 6*g - 408. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.52 - -0.32. What is the biggest value in b, 20, -0.1, -0.5?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - (-22)\/10)\/((-4)\/10). Suppose 6*k - d*k = 16. Suppose w - 25 = -v, 0*w = k*v - 3*w - 100. Does 2 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -7*n**2 + 8. Let m(r) = 8*r**2 - 8. Let a(k) = 5*k - 1. Let c be a(1). Let h(p) = c*m(p) + 3*q(p). What is the first derivative of h(s) wrt s?\nAnswer: 22*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - 0\/(-15) - -8. Solve 0 = h*k - 27*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**3 + 74*y + 5*y**3 - 67*y.\nAnswer: -y**3 + 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nine sixteenths of a centimeter?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + ((-1 + sqrt(192))*5)**2*4.\nAnswer: -1600*sqrt(3) + 19299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/36)\/((-1)\/3). Let h(b) = b**2 + 2*b - 5. Let v be h(-4). Factor -y - y**v - 3\/2*y**2 - l - 1\/4*y**4.\nAnswer: -(y + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**5\/30 + q**4\/4 - 2*q**3\/3 - 3*q**2\/2 + 3*q. Let d(y) be the first derivative of i(y). Solve d(w) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/68 - (-14 - 7\/((-714)\/1212)). Suppose 2 = q - 1. Let k = q + -2. Solve -5 = -l*v + k for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 286 divide 951103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1848*i + 6223*i - 1536*i + 3470*i + 2.\nAnswer: 10005*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21525 and 8725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -97 + 186. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 6\/7, -37, -0.1, 1, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 1042*a**2 - 19818*a - 52. Give v(19).\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2263*q - 13639*q + 362*q to p*q + x and give p.\nAnswer: -11014","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-290)\/(-360) + 1 + 2.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 338092392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 689181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**5 + 5*y**5 - 2*y**5)*(-4 + 3 - 6) + 2*y**5 - 6*y**5 - 7*y + 6*y**5.\nAnswer: -12*y**5 - 7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159, -730, -1683, -3018, -4735, -6834?\nAnswer: -9315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 - 6 + 1 + 5.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(378)*-1*-4)\/(5*(sqrt(216) + (sqrt(216) - sqrt(216)*-1) - sqrt(216))).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvke when four letters picked without replacement from {e: 9, k: 6, v: 2}?\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1162 - -5.\nAnswer: 4.8838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4712076 a multiple of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*q + 91 = -16*q - 70 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 34 = 14. Suppose -y + w = -3*f, -3*f = -4*f + 5*y + 10. Let d be ((-1)\/5 + (-16)\/40)*f. Solve -q - 1 = 2*i, q - 6*i + d*i = -6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -22018?\nAnswer: -2\/11009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*t + 3364 = 0, 3*d - 2*t + 0*t - 3344 = 0. Suppose 0 = 44*i - d - 1126. What is the lowest common multiple of 6 and i?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9344804611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 287453329 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 12*z**4 - 2*z**3\/3 + 33*z**2\/2 + 271*z - 2. What is the second derivative of o(c) wrt c?\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2151 * -2.95.\nAnswer: -6345.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 5*u + 60 = 0, -4*z - 46*u = -48*u - 32 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 10 + -3 + 2 + -12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13150, -26327, -39504, -52675, -65834, -78975?\nAnswer: -92092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*(-1)\/(-3)*201\/1273.\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 6. Let r = u + -9. Suppose -c + 82 = k, -5*k + 4*k = r*c - 159. What is the remainder when c is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**3 + 24*a**2 - 151*a - 91. Determine x(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 13. Let s(b) = 8*b - 1183. Calculate -s(x) + 6*t(x).\nAnswer: -2*x + 1261","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 14) to base 9.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(11) + 1)*4 + (sqrt(11) - (2*sqrt(66))\/sqrt(6)) + 0.\nAnswer: 8 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 3*y + 2. Let o(d) = -4*d**2 - 16*d + 9. What is -o(z) + 6*t(z)?\nAnswer: -2*z**2 - 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 5*t - 3*h, 9*h - 66 = -2*t + 4*h. Let a = t + -59. Calculate the common denominator of -61\/22 and 142\/a - (-17 + 16).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of n**4\/6 + 5*n**3\/2 + 19*n**2 - 2*n + 3. Let w be h(-6). Solve -5 = -w*f + 19*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203022 is divided by 35.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -3*(2*sqrt(17) + sqrt(17)) - (0 + ((sqrt(153))**2 - sqrt(17)))) + -1.\nAnswer: -154 - 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -26980914 divided by -6?\nAnswer: 4496819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 128\/(-416)*(26\/1)\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -34, -124, -280, -508, -814, -1204, -1684, -2260?\n\"Answer: -s**3 - 27*s**2 - 2*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-15) + (-52)\/(-5). Let g = k - 5. Solve -15*u**2 - 6*u**g - 3*u**5 + 3*u**3 - 6*u**4 + 21*u**4 + 4 + 2*u**3 = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of 14\/3*t**3 + 0*t**5 + 0 + 3\/4*t**6 + 17*t**2 + 0*t + 0*t**4. What is the first derivative of p(r) wrt r?\nAnswer: 270*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -13 + 15 - 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9480746 a multiple of 517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20610, -41225, -61840, -82455?\nAnswer: -103070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2581 + -17871.82934?\nAnswer: -17872.08744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: e3b8 (base 16) to base 10\nAnswer: 58296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*t = -21*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 97 + -85.1. Round m to zero dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -193 or -192?\nAnswer: -193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*o + 132*o = 1258 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 24 and 4400.9.\nAnswer: 4424.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -8509\/6 and -1417 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 9.95. Let s = -0.95 - m. What is the nearest to s in -1\/6, 0.1, -2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vdvqvqvvvdjvqvqjqdq. What is prob of picking 1 j and 2 q?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 37458178529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 264*d**4 - 8*d**2 + 2*d**3 + d - 129*d**4 - 133*d**4 to g*d**2 + r + s*d**3 + k*d + u*d**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3375 and 5085?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((1*sqrt(99) + sqrt(99))**2 - sqrt(99)).\nAnswer: -3*sqrt(11) + 397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44691 is divided by 723.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 6:14 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1102336 and 0.5.\nAnswer: 1102336.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmxmemmmxmxxxpemmxg. What is prob of picking 1 e and 1 m?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 9*x**2 + x + 53. Let l be j(8). Which is the fifth smallest value? (a) l (b) -2.9 (c) -5 (d) -1\/3 (e) 3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -145*t - 38. Suppose -35 = 10*z - 5. What are the prime factors of y(z)?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61\/2 + 31. Let p = 4.78 - 3.1. Let w = p - 6.68. Which is the closest to m? (a) -0.2 (b) 2\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -57\/14, 7, -0.2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -33, -56, -77, -96, -113, -128?\n\"Answer: g**2 - 26*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 15 = -3*v, -17*v - 2*j - 25 = -12*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/9 and ((-2)\/9)\/((-165)\/(-1530))?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 10 = j - 112, 0 = -2*z - 2*j + 44. What is the least common multiple of z and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 0.5, -268, -12\/5, 4.\nAnswer: -268, -12\/5, -3\/7, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2324.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 2*z + 42. Calculate h(0).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9 and -6.\nAnswer: 5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 700 and 2434208?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -10*n + 14. Let v be c(-7). What is the highest common divisor of v and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84933437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20234140401 + 0?\nAnswer: 20234140401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 500*j**3 + 0 + 148*j**3 + 0.\nAnswer: 648*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14 + -17 + 3 + 50\/24. Let k(h) be the third derivative of -3*h**2 + 5\/24*h**4 + 0 + c*h**3 + 1\/120*h**5 + 0*h. Factor k(l).\nAnswer: (l + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -134\/25 or -4?\nAnswer: -134\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 2811*h**2 - 3*h - 2811.\nAnswer: 3*(h - 1)*(h + 1)*(h + 937)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, g: 1, y: 1}. Give prob of sequence gg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 5*y**2 - 4*y + 38. Let x be r(8). Let n = -198 + x. Round n to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*b + 5*b**3 + 2 + 31*b.\nAnswer: 5*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*w + 2*a + 157, 3*w = 3*a - 90. Let g = 11 - w. Suppose 9*i = 12*i - 189. Calculate the greatest common divisor of g and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3)*(-135)\/(-20)*148\/(-333)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -2) + (6 - 3). Let t(y) = -y + 7. Let z be t(5). Put -5, a, z in increasing order.\nAnswer: -5, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -240\/39907 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27466 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: Let v = -0.1706 + 0.206. Let a = v - -2.0946. Let x = -0.13 + a. Which is smaller: -0.6 or x?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8f90b (base 16) to base 12.\nAnswer: -244377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(336) - 2*sqrt(336)) + (4*(sqrt(336) + (sqrt(336) - -1*sqrt(336))) + sqrt(336) - sqrt(336)))\/(-1*(sqrt(12) + -2*sqrt(12))*4).\nAnswer: 15*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 33*v + 43. Let w be x(4). Calculate the highest common factor of w and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**3 + 3*s**2 + s + 2. List the prime factors of u(3).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9 + 3 + 7 + (-1020)\/54. Which is smaller: n or -411?\nAnswer: -411","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*k = -31017, 6207 = -5*v + 6*v - 4*k. What is the thousands digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5507 - 5502. Which is the closest to 1\/4036? (a) p (b) -2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.69 + 2.31. What is the closest to 0 in r, 2\/7, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17554 divided by 5\nAnswer: 17554\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -5*y + 35. Let v be f(7). Suppose v = -5*g - 4*h + 398, 2*g - 6*g + 2*h = -308. Suppose 2*q - g - 14 = 0. What are the prime factors of q?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 0*d - d**2 - 1\/15*d**5 + 0 + 0*d**4 + 0*d**3 + 7\/120*d**6. Find the third derivative of o(t) wrt t.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(260) + 1*sqrt(260) - sqrt(260))\/sqrt(5))\/((sqrt(176)\/sqrt(4) + sqrt(44) - sqrt(44))\/sqrt(11)))**2 + 5 + -2 + sqrt(637) + 0.\nAnswer: 16 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 121\/(-110) + (-3)\/(-2). Which is the biggest value? (a) o (b) -0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/13 and -73\/455.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -24088 divided by 12044?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - k = 17, -29 = -3*g - 3*k + 7*k for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1063256443?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*s - 3*y, -3*y = 3*s + 2*s + 7. Let q(r) = 422*r - 7. Does 73 divide q(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 3*l = -19, 3*l + 30621 = -4*a + 30628 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k - 38 + 6 + 2*k + 0. Let a be h(11). Solve -w - a = 3*t, -t = 4*w - 0*w + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 300630 = -31*x - 8*x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.967186967 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 1. Let j = 10 - 14. Let y(m) be the first derivative of m**3\/3 - m**2 + 6*m + 9. Determine j*g(o) + y(o).\nAnswer: o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -11*r - 3. Let c be x(3). Let u = c + 52. What is the lowest common multiple of u and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 15, -2*q - 195 - 84 = -5*w. Let g = -73 - q. Let r = -43 + g. Calculate the greatest common divisor of 124 and r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*o - 46*o + 184 = -3*o. What is the highest common divisor of 337 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.00447 - -10. What is s rounded to 4 decimal places?\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-62)\/(-5) - 0 - (-2)\/(-5). Let k(p) = 6*p - 39. What is the tens digit of k(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vyavwy. Give prob of sequence yya.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 4:31 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.54, -0.5, -2, 1 in ascending order.\nAnswer: -2, -0.5, 1, 1.54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**3 + 54*s**2 - 63*s - 29. Is 65 a factor of r(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**2 - 2*q - 6. Calculate s(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2315473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (14 - (-2 - 0)) + 0. Let m be -11 + 13 - ((-3)\/(-3) - 3). Let b = t - m. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-2\/9)*t)\/t**(-4\/9))**(-12\/7)\/(t**(-2)\/(t**(-8)\/t))**(-1\/6) assuming t is positive.\nAnswer: t**(-37\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 35452, 35442, 35434, 35428, 35424?\n\"Answer: u**2 - 13*u + 35464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 13*t - 4. Let c be (2\/(-4))\/((-1)\/(-12)). Let j be g(c). Let d = j - -221. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/98 and 87\/25438.\nAnswer: 178066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 0*d - 2*d)*(-3 - 1 + 3) - 2 - d + 2 + 542*d + 736*d + 134*d + 158*d.\nAnswer: 1571*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 1, -2\/5, -5, -2\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.14, -13, -0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3036*x + 1946 + 7162 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 578*p + 528. Let q(g) = 2890*g + 2639. Let c(f) = 22*j(f) - 4*q(f). Differentiate c(k) with respect to k.\nAnswer: 1156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**4\/7 + 372*c**3\/7 - 23064*c**2\/7 + 476656*c\/7 = 0 for c.\nAnswer: 0, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 3*i**3 + i - 8 + 11 to g*i + f*i**3 + d + l*i**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/112 and 85\/112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -266*o - 25390 + 103*o + 25388 in the form j + x*o and give x.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -252 divided by -63\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w**2 + 16*w - 80. Let n be l(9). Find the third derivative of -161*d**3 - n*d + 138*d**2 + 469*d wrt d.\nAnswer: -966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2334 in -3, 2\/5, 2, 0, 6\/19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16931198 rounded to two dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -b55a8 (base 16) in base 12?\nAnswer: -2b9a60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-135)\/126)\/((-138)\/30) and -19\/49?\nAnswer: 2254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*c**3 + 8*c**3 + 3*c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -22*z + 61. Let k be h(-7). Suppose 0 = -5*q + 320 + k. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) -1\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14140 (base 7) to base 9.\nAnswer: -5247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -186.75 + 186.8. Is -1\/458 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16474633849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7080?\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -730*b**3 + 2*b**2 + 7*b - 1610. Let c(v) = -2922*v**3 + 9*v**2 + 30*v - 6438. Let j(r) = -2*c(r) + 9*m(r). Differentiate j(w) with respect to w.\nAnswer: -2178*w**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/2)\/((-85)\/(-17))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 13. What is the highest common divisor of 85 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 146 + -0.47252344.\nAnswer: 145.52747656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1128744, -2257491, -3386238, -4514985, -5643732, -6772479?\nAnswer: -7901226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 893.\nAnswer: 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 735 and 1715.\nAnswer: 5145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 30390 minus 34693?\nAnswer: -4303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 287736 = -17*h + 4*h. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60902 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(2)*1 + 3 - sqrt(32)*-3 - (1*sqrt(12)*-2)\/(1*sqrt(6)*-4)))**2.\nAnswer: 1200*sqrt(2) + 5144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.1325563 millimeters?\nAnswer: 0.0001325563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 32*r**2 - 93*r - 43. Is p(28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1340553106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13564880 to the nearest integer?\nAnswer: 3683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -23*i**3 - 17*i**2 - 12*i + 2. Let v be d(-5). Suppose -78*w = -82*w + v. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15166222.\nAnswer: 2, 7583111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -199280*f**2*m**2 + 7*f**2*m - 2*f**2 + 21*f*m**5 + 2*f*m + 20*f - 922*m wrt m?\nAnswer: -398560*f**2 + 420*f*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-51)\/(-4) - (99\/(-12))\/(-11) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*c, -j = -5*c + 3 + 8. Suppose -12 = -3*p + p. Calculate the lowest common multiple of c and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -486, 4 in decreasing order.\nAnswer: 4, -3, -486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/n**(-2\/3))*(n**(1\/2)\/n)\/n*n**8\/((n*n*n\/(n*n*n**8*n))\/n) assuming n is positive.\nAnswer: n**(89\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1531 - -1599 - (-2 - -76).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-540)\/(-168) - (6\/21)\/(-1). What is the second smallest value in i, -0.2, -7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 48.63763 hours?\nAnswer: 175095468000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-0.387.\nAnswer: -0.387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3462 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -221.2330587068 from 0.1.\nAnswer: 221.3330587068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {d: 2, i: 1, e: 3, o: 6}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = h + 1, -h - 2*i = -2*h + 11. Suppose 4*w = 5*k + w - 101, 2*k = h*w + 35. Does 22 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -1 + 0*q**3 + 2 + 6*q**3. Suppose -j + 130 = -4*w + 149, 21 = j + 4*w. List the prime factors of g(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(190)*3*-1)\/((sqrt(1440) + -2*sqrt(1440))*-1).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 411136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -5*o - 50, -5*t + 10*t + 45 = -4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*o + 1268 - 500 = 0 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*v - 7, 0 = -4*y + 6*v - 4*v + 10. Let w be 126\/8 + 4\/16. Suppose y*h - w - 36 = 0. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -19*o**3 - 200*o**2 + 72*o - 16. Calculate l(-10).\nAnswer: -1736","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 3 (b) -1.22 (c) 6\/23 (d) -5 (e) 5 (f) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-12) + (-46)\/(-8). Suppose 4*j = 2*j. Suppose x = -j*x + q. Solve 4 = -5*c - x for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = m + 3*a + 3, 5*a + 25 = 5*m. Solve 3*u + m*u + 25 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133112 (base 6) to base 5.\nAnswer: -343411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 - 810*f - 4175.\nAnswer: 5*(f - 167)*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*p**3 + 61*p**3 - 5 - 3 to t*p**2 + c*p**3 + y*p + k and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 246470 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*o = 0, 3*q + 6*o - 32 = 2*o. Suppose -5*p - q = 4*n, -p = -5*n + 7 + 17. Let t(g) = 40*g + 49*g - 2 - 93*g. What is t(p)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.08 + -0.18. Let v = 564\/7 - 81. Let p = 9 + -6. Which is the closest to r? (a) -5 (b) p (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 87 = -2*m - m, 4*h - 116 = -3*m. Suppose -a = 5*z + h, 3*a - a - 2*z = -10. Let g = a + 11. Solve -g*c - 15 = 3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/694628 and 3\/1389256.\nAnswer: 1389256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 8\/339?\nAnswer: 8\/339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 477 is divided by 400.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352 is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -6. Solve 0 = 3*n - t*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3917249*x**4 - 1306*x**2 - 81 wrt x?\nAnswer: -94013976*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m - 9*m + 379960 = 28*m. Is 28 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 127147972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4450 + -4390. Solve -22*s = -10*s + u for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -232*m + 421. Calculate d(2).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -140262, -280525, -420788, -561051?\n\"Answer: -140263*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 1\/9*u**3 + 1\/2*u**2 - 3 + 2\/3*u. Suppose t(b) = 0. What is b?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -500507219 rounded to the nearest 1000000?\nAnswer: -501000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6416120 and 20?\nAnswer: 6416120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v + 21*v + 3*g - 19 = 0, -5*v + 35 = 5*g. Find j such that j - 11*j**2 - j**5 - 16*j**2 + 25*j**v + 2*j**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 2*d + 9. Let w = 621 - 600. What is the smallest common multiple of r(0) and w?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8129543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -66\/4225 and -80\/1521.\nAnswer: 38025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -45522?\nAnswer: -7\/22761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 98484346 plus 10.19?\nAnswer: 98484356.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*o**2 - 9*o**2 - 15*o**6 - 47*o**6 + 4*o**6 wrt o.\nAnswer: -6960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -15*g**3 + 2*g**2 + 14*g + 41. Is v(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 - (28 + -18 + 14)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gnxc when four letters picked without replacement from {n: 1, x: 1, c: 3, g: 2}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 85*o**4 - 687*o**3 + 75912903*o**2 wrt o.\nAnswer: 2040*o - 4122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**4\/5 - 88*z**3\/15 + 64*z**2\/3 - 416*z\/15 + 32\/3 = 0. Calculate z.\nAnswer: 2\/3, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -492 and -1?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4*v - 138. Let i(z) = -20*z**2 - 1. Let t be i(1). Let u = v + t. Solve -4*w = 0, -5*w = 5*h - 0*h - u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -65 + 2841 + -2775?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 513 + -502. Let g(h) = 13*h - 58. Is 5 a factor of g(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 0)*(-2*t - 51 + 195 + 4*t) to k*t + f and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a hour in minutes?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*c + 43*d - 38*d, -2*d + 1 = -5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.6 + 2. Let n = 18 - 9. Let c = 8 - n. What is the third biggest value in -4, c, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/(570\/(-20)))\/((28\/(-15))\/(-2)).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*o**3 + 4*o**3 + 2*o**3)*(-o + 10*o - 6*o) - 4*o**4 + 3*o**4 - 3*o**4)*(-8*o - 6*o + 7*o).\nAnswer: 7*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 116 + (-520)\/40. Solve 0 = -113*s + l*s + 27 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22)\/(-8) - 3\/4. Suppose 3*l - 1201 = c*l. Suppose 0 = 5*b - 854 - l. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**7)**(1\/35)\/(x**(-28)*x*x\/x**(-12\/11)) assuming x is positive.\nAnswer: x**(1381\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7*w**2 + w - 171. Let k(i) = -3*i**2 - i + 86. Let c(j) = -15*k(j) - 6*p(j). Solve c(g) = 0.\nAnswer: -11, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4012*a**2 + 177*a + 354. Let l(x) = -113*x**2 - 5*x - 10. Let p(q) = -177*l(q) - 5*w(q). Let m(j) = 7*j**2. What is m(p(s))?\nAnswer: 24367*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 716883749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 236135674 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4048 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.69 - 0.31. Let h = 0.045 + -3.045. What is the second biggest value in h, t, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 11*o - 1792 = 0. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -404\/7 - -58. Suppose d - 4*d - 239 = -5*w, 5*w - 235 = 5*d. Let t = -635\/13 + w. What is the nearest to 0 in t, f, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13703 - 826*r + 13703)*(-3 + 2 - 1)*(-1 + 0 + 0) to the form z*r + v and give z.\nAnswer: -1652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 109922 to the power of 1\/2, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106177*s**2 - 1 + 106177*s**2 + 1 - 3*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*s + 16*s + 21*s as m*s + n and give m.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a centimeter in micrometers?\nAnswer: 68000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 422898 and 40276?\nAnswer: 845796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 410.\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.4, -64, 20 in descending order.\nAnswer: 20, 1, 0.4, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 18719840\nAnswer: 7487936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, 4, 26, -24, 70\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -5*w + 19 + 41, -4*f = -5*w + 43. Let n = 24 + f. What is the lowest common multiple of (35\/175 - 21\/5) + 8 and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65030000 rounded to the nearest one million?\nAnswer: -65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 3, 326 in decreasing order.\nAnswer: 326, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from senn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2205 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*f + 176*f = 372*f - 171. Put -3, f, -113 in descending order.\nAnswer: f, -3, -113","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3351897.\nAnswer: 3, 131, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*f + 3*x, -78*x + 80*x = 4*f - 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -781.9 - -680. What is u rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 7*y - 28 = 2*y, -4*y = 2*u + 4. Calculate the remainder when 3\/u - (-2190)\/20 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -317 * -289\nAnswer: 91613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 66\/3*(-26)\/(-4) - 0. Let g = -999\/7 + b. Is g <= 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 l when two letters picked without replacement from {n: 9, l: 4, k: 4, g: 3}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 140216 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 15*n**2 - 15*n - 13. Let u be l(16). Solve u = -0*c - 3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*f + 3*h - 18 = 0, 0 = -2*h + 2. Let z(n) = 2*n - 6. Let o be z(f). Solve 2*u + 2*x - 10 = 3*u, o*x - 12 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c875b5 + 14?\nAnswer: 1c875c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 7*z**3\/3 + 5*z**2\/2 + 5*z - 7. Let y(n) = -6*n**2 - 4*n - 4. Let k(a) = 4*s(a) + 5*y(a). Let v(u) = 33*u. What is v(k(t))?\nAnswer: -66*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (773*f + 684*f**2 + 783*f - 2333*f + 776*f)*(1 + 3*f - 1) as m*f**2 + s + a*f + p*f**3 and give p.\nAnswer: 2052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (177565 + 4490*j - 177565)*(0 - 3 + 2 + (2 - 1 + 1)*(4 - 5 + 3) - 4 - 3 + 5 - 4 + 5 + 1).\nAnswer: 13470*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 + 11 - -23) + -18 + 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 - 49855*a + 4*a**2 + 2*a**2.\nAnswer: 2*a**2 - 49855*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 785*u + 782*u - 26 = 0, 3*d = -13*u - 46 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zet when three letters picked without replacement from {t: 2, e: 3, z: 10}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-150)\/(-20) - ((-17)\/(-2) - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -9. Suppose 0 = 5*t - 2 + 12. Let y be (-17)\/(-3) - t\/z. Sort -2\/11, y, 4 in decreasing order.\nAnswer: y, 4, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mlbsblblblbselblb. Give prob of picking 1 l, 1 e, and 1 m.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7980804 to the power of 1\/3, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0126 - 1973?\nAnswer: -1972.9874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1101 (base 2) to base 3\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -310 + 20149\/65. Is 0 <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325 is divided by 53.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.058011 grams?\nAnswer: 58011000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 20 + (-110 - (-3 - -25))?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -b + 3*r + 19, 0 = -2*b - 5*r + 3. Suppose 2 = -b*o + 2*o. Which is greater: o or -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 973 + -83. What are the prime factors of r?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 4*q - 40, 0 = w - q - 4*q + 21. Let t be (2\/w)\/(4\/24)*3. Solve -4*f = -t*f - 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/(-44)*(-33)\/(-54). What is the closest to 0.2 in 1\/3, -46, u, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -6*u**7\/7 - 5*u**6\/6 + 65*u**3 - 131. What is the third derivative of l(a) wrt a?\nAnswer: -720*a**3 - 300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/4 - 43*u**2\/4 + 160*u - 275.\nAnswer: -(u - 10)*(u - 2)*(u + 55)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of x**4\/4 + 2*x**3\/3 - x**2 - x - 2. Let l be k(2). What is the greatest common factor of 99 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32))**2 - ((sqrt(32) + -2)**2 + sqrt(2)).\nAnswer: -4 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 338.0087 rounded to the nearest ten?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2043 + -6?\nAnswer: 2034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 528569196.53990217 + -528569188. Let j = m - 8.503904. Let k = -0.036 + j. What is k rounded to seven decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by (1 + 5)\/(456\/988).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136644 a multiple of 193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 163, 0, 15.\nAnswer: 0, 5, 15, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2 + sqrt(110)\/(sqrt(20)\/sqrt(2)))*-4 + -4.\nAnswer: -4*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -26 - -1720?\nAnswer: 16b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 346697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h. Let i(s) = -6*s - 7. Let k(a) = -i(a) + 3*r(a). Let l be k(-2). Let j(o) = 12*o**2 + 2*o - 1. Calculate j(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -w + 6*u + 19, -3*u = 5*w - 11. Suppose 5*g + 3*p = 7, 5*g - 3*p - 17 = -4. Solve -w*q + 10 = g for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**7\/1260 + q**6\/144 + 7*q**5\/360 + q**4\/48 + 8*q**2. Find g such that i(g) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 23*p - 6. Suppose -4 = -300*n + 296*n - 12. Give g(n).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (31\/35 - (-62)\/(-217))\/((-9)\/90). Let m(n) = -3*n**3 - 6*n + 6. Let p(r) = -r - 1. Let b(z) = -1. Let y(f) = -2*b(f) + p(f). What is d*y(h) + m(h)?\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 1. Suppose 4*u - 28 = 4*d, -5*d - 5 - 5 = 0. Suppose 0 = -2*s - u*i + 10, -2*s - i + 0*i = -10. Which is the biggest value? (a) p (b) s (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 2*k + 7*k = -2*x + 13, x + 7 = 5*k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18.26 - 18. Let x = y + -0.16. Which is the nearest to x? (a) -4 (b) -0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -1224999*o**3 + 2*o**2 - o - 2. Let l(c) = 2*c. Let u be l(-1). Let a be z(u). Suppose 3*p = 4*p + a. What is p rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2762.6486 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16 - -21) + -3)\/(1\/2). Let p(s) be the first derivative of 0*s**2 - 1\/2*s**i - 1\/3*s**3 - 4 + 0*s. What is the third derivative of p(o) wrt o?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 236\/(-236)*2\/1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 287*a - 16575. What is n(59)?\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18090431 and 1961613.\nAnswer: 162813879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3493, 6908, 10349, 13828, 17357, 20948?\n\"Answer: 2*f**3 + f**2 + 3398*f + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -2) + -1 - -85. Suppose -2*z - 41 = -x + 2*z, 0 = 2*x - 5*z - w. What is the greatest common divisor of 18 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8581127 + -2?\nAnswer: -8581129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 196736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -1\/10, 0.2, -1\/18 in ascending order.\nAnswer: -1, -1\/10, -1\/18, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**2 - 85392*x - 85391 = 0 for x.\nAnswer: -85391, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.601 + -0.399. Let f = 34\/287 + 1\/41. What is the second biggest value in 3, f, z, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 298, 296, 294, 292?\nAnswer: 290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 + 4)\/(1 - (1 - -1)). Suppose w = -2*y + 3. Suppose -b - 2 = -y*b, -5*n + 348 = b. Calculate the greatest common factor of 105 and n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194 - 89 = 35*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 2:09 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, d: 2, m: 1, c: 2, x: 1}. Give prob of picking 1 y, 1 c, and 1 m.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/5*(-60)\/(-36).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1714*c - 2028*c + 2*c**2 + 1273*c - 2*c**5 - 770*c**3 + 2905*c**3 wrt c?\nAnswer: -120*c**2 + 12810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 0*b**2 + 2*b**2)*(0 + 1 + 2)*(280*b + 125*b + 198*b).\nAnswer: 1809*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -747799 - -2742926769\/3668. Find the common denominator of h and -97\/32.\nAnswer: 29344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 398461540?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11890*x**2 + 2*x + 45680.\nAnswer: 23780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 8*r**2 + 8*r - 9. Let h be f(-9). List the prime factors of (30\/(-9) - h)*-21.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 13*g**2 - 24*g + 17. Suppose -9 = -z + 1. Does 8 divide j(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5929935320 rounded to the nearest one million?\nAnswer: 5930000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5615?\nAnswer: 5, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 19. Calculate the remainder when k is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2*a + 4)*(-6 + 2 - 3)*(1 - 4 - 2) in the form l + g*a and give g.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-5) - 8\/(-5). Suppose j*o - 6*o = 0. Solve q = 5*u - 5, o = 5*q + 2*u - 3 + 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 0 + 0*m**2 - 15\/2*m**3 - 5\/12*m**4 - 15*m. Find the second derivative of j(h) wrt h.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -514 * -26\nAnswer: 13364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b - 14*b**2 + 4 - 2 - 4*b + 15*b**2 - 3. Give p(8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 7*w + 9. Let a = -8 - -14. Let n be d(a). Differentiate -n + 1 + s**3 + s**3 wrt s.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -642159*h + 2814927*h + 11 - 11.\nAnswer: 2172768*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 462.92 - 477. What is c rounded to zero decimal places?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3618014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -q - 10. Suppose 17 = -4*z + q*g, -8*g + 4*g + 12 = -4*z. Suppose 2*r - 3*k = 46, z*r - 5 = r - 3*k. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1035 - 1075?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = -3*g + 5*g + a, 3*g - a = 157. Suppose 0 = -3*o + 18 + g. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 504*d**4 + 876*d**3 + 248*d**2 - 116*d + 8 = 0.\nAnswer: -1, 2\/21, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**4\/12 - 7*m**3\/6 + 9*m**2\/2 + 2*m. Let s be u(6). Let y(n) = -3*n**2 - s*n**2 + 7*n**2. Let v(h) = -2*h. What is y(v(w))?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**11\/a))\/((a\/((a**(-2)\/a)\/a)*a)\/a) assuming a is positive.\nAnswer: a**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2951*l + 47 = -95*w + 98*w + 2959*l, 0 = -4*w - l + 24 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -880*c**5 - 3*c - 26?\nAnswer: -17600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 + -27. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 1208\nAnswer: 3\/1208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -324 + 324. What is the nearest to 0 in z, -3, -12?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-24) - 82\/12. Let o = w - -6. List the prime factors of o + (-1 + 29 - 4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -486 + 481. Which is the closest to -21? (a) -0.3 (b) 1\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5\/4)\/q*q*q*q)\/((q\/(q\/q**(-3)))\/q)*q\/(q**16\/q)*q\/(q*q**(-2\/23)*q) assuming q is positive.\nAnswer: q**(-935\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of f**3 + 2*f**2 + 81 + 3*f**2 + 5*f**2 + 48*f + 5*f**2. Solve t(o) = 0.\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-89)\/7 + (-6)\/21. Let n = t + 4. Let u = n - -9. Solve 10 = 4*f - 3*i, 2*f - 6 = 2*i - u for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 x, 1 e, and 1 a when four letters picked without replacement from {e: 4, b: 1, u: 1, a: 4, x: 9}.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*(-5)\/((-80)\/(-12)). Suppose -2*y - 5*f + 19 = 0, d*y + 3*f = -y + 45. What is the smallest common multiple of 18 and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -25953\/2 and -12978 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 + 36. Let b be -5*2\/(-20)*-1 - u. Solve -9\/2*f - b*f**2 - 1 = 0.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*i - 3)*(-4705 - 640 + 1224)*(-4*i - 2*i**2 + 4*i).\nAnswer: -16484*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11987.628 * 0.22.\nAnswer: -2637.27816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -41035453 (base 6) in base 13?\nAnswer: -32032b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**3*u**2*y - 51862*q**3*u**2 + q**2*u**2 - 6*q*u**2 + 12*q*u*y wrt q?\nAnswer: -12*u**2*y - 311172*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15798 + 15802. Sort -187, h, -2 in ascending order.\nAnswer: -187, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-2))\/((-1)\/4). Suppose -y*x + x = -20. Let h = -130 - -134. Solve -s - s = 2*a, -5*a - h*s - x = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11923249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1315 - 4*t - 1315.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*(s*s**(-6)*s)\/s))\/s**6)\/(((((s*s**15)\/s)\/s)\/s)\/s**15) assuming s is positive.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 170335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(2\/75))*((t**(-6)\/t*t)\/t*t)\/t)\/(t*t**(-15)*t*t*t**7))**(16\/9) assuming t is positive.\nAnswer: t**(-2368\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 3*i + 2*i)*(0 + 2*i + 0) - 5*i**2 - 16*i**2 - 3*i**2 + 1.\nAnswer: -22*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + a = -18, -5*a + 30 = 45 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 2*z**2 + 4*z + 6. Suppose 12 = -0*a + 4*a, -b + a = 6. Let v be d(b). Solve -t + 2*m + 10 = -m, v*t + 3*m = -18 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 + 22. What is the remainder when (-429)\/22*4\/g is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38278.\nAnswer: 2, 19139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21082.\nAnswer: 2, 83, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8556, -68453, -231084, -547833, -1070084, -1849221, -2936628?\n\"Answer: -8564*g**3 + 17*g**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-251 + u + 251)*(3*u - 2*u + u) - u**2 + 3 - 3.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -489 + 532. Let y = -8974 + 13322. Suppose 39*w = f*w - y. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -p**5\/20 + p**4\/2 - 7*p**2\/2 + 20*p. Let d be n(5). Calculate the highest common divisor of 12 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*a**4 + 4*a - 4*a)*((2 + 1 - 4)*(2 - 2 + 3) - 3 - 3 + 4) as o*a + k + x*a**3 + v*a**2 + j*a**4 and give j.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-2) - (2 - 0). Let x(l) = l**3 - l + 13. What are the prime factors of x(n)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/19, 0, 10, 3\/4 in increasing order.\nAnswer: 0, 8\/19, 3\/4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.02 and -34.2?\nAnswer: 34.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d - 21495 + 21500 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -27.4?\nAnswer: -27.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -5265000 to the nearest 100000.\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - l = 0. Let b = 3 + -1. Suppose -b*h - 3*n - 2*n = -17, l = 5*h + 5*n - 35. What is the highest common factor of h and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g**2 + 7*g - 7. Let r(q) = 9*q**2 + 14*q - 14. Let b(x) = 11*a(x) - 6*r(x). Let k be b(6). Let t = -27.67 - -28. Is t greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/572 and -58\/429.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2476.\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**3\/17 + 20148*c**2\/17 - 1277390*c\/17 - 1297536\/17 = 0.\nAnswer: -10137, -1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57271?\nAnswer: 57271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*p*w**4 - 2*p*w**2 + 2*p*w - 26*p + 445*w**6 - 3*w**2 wrt w.\nAnswer: 96*p*w + 53400*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12662026 to the power of 1\/3, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29520739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 10*b**2 + 15*b - 19. Let f be s(-8). Let g(n) = -2*n**2 - n - 5. Let m(k) = -6*k**2 - 2*k - 14. Give f*g(r) + 4*m(r).\nAnswer: -2*r**2 + 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -8*c - 6. Let h(o) = -7*o - 5. Suppose 5*d = 3*d. Suppose 2*q + 0*w = 5*w + 8, d = w + 4. Let r(l) = q*h(l) + 5*y(l). Let n(t) = -t. What is n(r(f))?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 3*d - 2*o, o = -d + 25 - 11. Let q = 5 + -3. What is the remainder when d is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20631 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*n**3 + 7*n - 49*n**3 - 7*n.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from isjssiososssssos.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34571937?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5608742?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.053713266 rounded to three decimal places?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -6.7 (c) 2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13670182\/273 + 50074. Let x = l - -2\/91. Let i be (-2 - 22\/(-10))\/(2\/10). Which is greater: i or x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 0, h + 2*h + 9 = -z. Let f be 4 + 7\/(-1) + -1. Put 3, h, f, 0 in descending order.\nAnswer: 3, 0, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2223.7 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*y - 6. Let j be 9\/y*8\/(-18). Factor -2\/3*n**2 - j*n + 0.\nAnswer: -2*n*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -85512370*q**2 + 118480081*q.\nAnswer: -171024740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.1 - -1.3. Let p = 370 - 737\/2. Which is the second biggest value? (a) 0 (b) g (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 32\/5 of a millimeter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -838 - -904. Let t be 3\/4*(-24)\/(-3). What is the greatest common factor of t and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/7 - (-135)\/(-7). Which is smaller: -18 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/sqrt(2))**2 + -1 + 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2608520.8 rounded to the nearest 1000?\nAnswer: 2609000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 5*v**3 - 5*v**2 - 13*v. Let m be j(-7). Let p be 2\/(-11) + m\/121. Let t(k) = -k**3 + k**2 + 2*k + 2. Calculate t(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.57817712 and -54.\nAnswer: -53.42182288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 149 times -2168\nAnswer: -323032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463236462.\nAnswer: 2, 3, 13, 659881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-273)\/13)\/(36\/7752*38).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27886970 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -3, 1 in descending order.\nAnswer: 18, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-226744)\/(-60))\/(-7) - (-2)\/(-15). Suppose 0 = 3*g - 6042 + 1722. Let c = o + g. Round c to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 4*w - 6. Suppose -5 = -w*d - 2, -10 = 4*h - 2*d. Let q be (4\/6)\/(h\/(-6)). Which is the closest to 2\/3? (a) -4 (b) q (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 o when two letters picked without replacement from {a: 5, c: 4, o: 4, u: 1, x: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25133658?\nAnswer: 2, 3, 11, 107, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 9 = -c, 23 = -4*c - c - 2*m. Let u = -3 + -2. Let a = 4.5 + u. What is the nearest to 0 in c, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, r: 1, v: 1, j: 1, m: 1, z: 1}. Give prob of picking 1 j, 1 v, 1 z, and 1 a.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 436878*z**3 + 1065044*z**2 wrt z.\nAnswer: 2621268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*a**2 - 188*a + 188*a + 4*a**2 to the form x*a + z + k*a**2 and give k.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*v + 70 - 232. What is the greatest common divisor of 315 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/55041 + 2697019\/275205. Let n = -4 - -13. Do r and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -0.31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 9*c**4\/5 + 183*c**3\/5 + 216*c**2\/5 - 228*c\/5 = 0.\nAnswer: -19, -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 527, -293\/5, -5, 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 5*o - 8. Suppose 0*k + o*k = 12. Is ((-561)\/k)\/(1\/(-2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 22, -1 in descending order.\nAnswer: 22, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -22*g + 18*g. Find r, given that -r**2 + 19*r - 12*r**3 - 7*r - 3*r**2 + 0*r + 4*r**g = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 5*s + 2*s)*(3 + 0 - 1)*(-3*s**3 + 4*s**3 - 3*s**3).\nAnswer: -36*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2103235 - 1?\nAnswer: 2103234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3808, 15783, 35932, 64255, 100752?\nAnswer: 145423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**4\/8 - 19*k**3\/6 - 12*k**2. Let z be p(-6). What is the units digit of z - (-48 - (-2 - -1)*1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 - 187236?\nAnswer: -187225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-22)\/8 - (-11)\/(-44)) + -6. Let l be 69\/(-15) - r - -1. Suppose 18\/5*f - l - 3\/5*f**2 = 0. What is f?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9872 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(-2 + 2 - 3*a)*(-3*a + 0*a + 2*a).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 10936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -t**3\/2 + 9*t**2\/4 - 3*t - 22. Determine c so that x(c) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*w - 5*k, -3*k - 11 + 0 = -w. What is the hundreds digit of (-2)\/(-15)*-3 - (-972)\/w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 8*g**2. Let b(y) = 22*y**2. What is b(f(w))?\nAnswer: 1408*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 3*b - 2271, -9*i = -11*i - 2*b + 906. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 113 - 21. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g - 312 = -13*g. Calculate the greatest common divisor of 48 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s + 4. Let x be y(6). Suppose 0 = -3*g + 5*w + 13, 0 = g + 6*w - 2*w + 24. Which is smaller: x or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 583986139?\nAnswer: 11, 43, 47, 109, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 5*f**2 + 2. Calculate the lowest common multiple of (-6)\/(-8)*20\/(-4 + 9) and b(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14321\/4 + -3601. Let j(z) = -3*z + 2. Let h be j(1). What is the common denominator of w and (-548)\/48 - h\/(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 3*h - 3*h)*(0*h + 0*h - h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13726162 to the power of 1\/4, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 4*u - 8*u - 8, -2*u - v = -11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - 2)\/(8\/16). What is the remainder when (33 - 8\/(-2 + f)) + -3 is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 76 + -124. Is f\/(-9)*(17 + 1) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.857 and 0.9.\nAnswer: 1.6713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -9. Which is the biggest value? (a) -1\/3 (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86.39 + -86. Let y = 0.01 + t. Let j = y + -0.6. Which is the third smallest value? (a) 1 (b) j (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**2 - 639. Let p(z) = -3 + 3 - 94*z. Give f(p(g)).\nAnswer: 188*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 96 - 52. What is the second derivative of -3*b + 7*b**2 - x + 44 wrt b?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2868*a + 263. Let f(d) = -2151*d - 190. Calculate -11*f(p) - 8*i(p).\nAnswer: 717*p - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*h + 301*h - 695*h = -296*h - 9559 for h.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2132, 8460, 19008, 33776, 52764, 75972, 103400?\n\"Answer: 2110*d**2 - 2*d + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 3, -5*x + 178 = -174*q + 171*q. Which is greater: x or 10?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y - 29. Let t(p) = -3*p - 30. Let d(a) = 6*t(a) - 5*w(a). Let c be d(-19). Let z = c - -30. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8972972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 8:14 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 125521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.138 + 11.687.\nAnswer: 11.549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 + 3*h. Let c be m(-2). Let d = 0 + c. Suppose 44 = 3*s - 4*y, d*y = 4*s - 3*y - 57. What is the lowest common multiple of 20 and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l - 1. Suppose -3*g + 3*x + 17 = -10, 3*x + 12 = 0. Let v(a) = 4*a + 7. What is g*h(z) + v(z)?\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 1100.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -163*l + 165*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 41. Let t(x) = x + 40. Let q(z) = 4*p(z) - 3*t(z). Let k be q(14). Solve 2*v + 22 = -4*b, 12 + 0 = -k*v - 2*b for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 713 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 439*r. Let y(h) = h. Determine y(f(w)).\nAnswer: 439*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1938 and 562377.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 5*h**2 - 3*h + 6. What is the remainder when 83 is divided by j(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**6\/120 - 9*x**5\/20 + 2*x**4\/3 - 543*x**3 + 1308*x**2 + x + 1. Find the first derivative of h(t) wrt t.\nAnswer: 3*t**2 - 54*t + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**3 - 6*n**2 - 6. Suppose 2*a - 93 = -3*x + 7*a, 0 = 2*x - 4*a - 62. Let w = x + -25. Let s(j) = 2*j**3 - 5*j**2 - 5. Calculate w*s(z) - 5*h(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6504 and 792?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -1362176, -6\/7 in ascending order.\nAnswer: -1362176, -6\/7, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000010110111111011101 (base 2) to base 4.\nAnswer: -20112333131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3678394832 is divided by 1913.\nAnswer: 1912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 20, 2*c + 29 = -4*b - 1. Calculate the remainder when 106 is divided by (32 + c)*4\/10 + -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -94454, -188906, -283358?\n\"Answer: -94452*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53694?\nAnswer: 2, 3, 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-1) - (-3 - -3). Suppose 4*x + 72 - 204 = p. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*a - 0*a. Find the first derivative of -5*j**3 - 13 + 18*j**3 + 0*j**a wrt j.\nAnswer: 39*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34104 (base 5) in base 14?\nAnswer: -c3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.425 and 31982.5099.\nAnswer: 31982.0849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/4)\/(-2*(-2)\/1200). Suppose r = 5*a - 5*b, -b + 0 = 2*a - 60. What is the highest common factor of a and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23003215 (base 6) in base 14?\nAnswer: 14344b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/32 of a gram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 10.21764 months?\nAnswer: 0.085147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239*g + 4*g**3 - 3*g**3 - 237*g.\nAnswer: g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11002758*u**4 - 9504999*u wrt u?\nAnswer: -132033096*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2983 and -1273.88.\nAnswer: -1273.5817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) - -1*(-3 + sqrt(108)))*-6 + 1 + sqrt(9)\/sqrt(3)*2 + (-2*sqrt(27) - sqrt(27))\/sqrt(9))**2.\nAnswer: -2774*sqrt(3) + 16348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 266 and 14?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2318 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6111 + -239?\nAnswer: -634a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, m: 1, c: 1, t: 2, d: 1, y: 4}. What is prob of picking 2 t?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 24 = -0*j. Solve a - 2*u = -3*a + j, -a + 2*u = 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142968631?\nAnswer: 13, 101, 108887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1308 and 690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -200, -84, 42, 178, 324?\n\"Answer: 5*t**2 + 101*t - 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -243 + 265. Suppose -i + 5 + 1 = 0. Calculate the remainder when y is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-50)\/(-24) - 2)*2 + (-575)\/(-150). Solve -3*o = 5*f + m, 2*f - 19 = -17 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**3 - k**4 - 1 + 2*k**3 - 2*k**2 + 2*k**4 in the form n*k + d*k**3 + j + g*k**4 + c*k**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f - 15 + 11 + f + f**2 + 11. Let o(h) = -h**2 - 6*h - 5. Let t be o(-6). What is v(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 45? (a) -2\/13 (b) 0.19 (c) -103 (d) -2 (e) -1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z + 3. What is y(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - -11. Does 19 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -474 + 104 - a**2 + 2*a**2 + 123 + 247.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 2, 3, 0.3, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 54037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 2*y**2 - 2*y + 2. Let a(q) = -3*q**3 + 9*q + 34*q**2 - q**3 - 25*q**2 - 9. Determine 2*a(l) + 9*v(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in 2\/9, -6\/11, -2, 17?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, w: 4, u: 1}. What is prob of sequence wkuk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 26800\/11*j - 1984\/11 + 42692\/11*j**3 - 338\/11*j**4 - 96936\/11*j**2 = 0.\nAnswer: 2\/13, 2, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from utjuuukuutuujkuuuuu. What is prob of sequence tku?\nAnswer: 26\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*a - 170*a + 86*a + 38452 = 0. List the prime factors of a.\nAnswer: 2, 9613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1298 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/12783810 and 37\/273.\nAnswer: 89486670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.3 - -1.8. Suppose -2*n + 5*u = -5, -3*n = -4*u - 1 + 4. Let i = 0.0647 + 0.0353. What is the nearest to i in -1\/3, n, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44573208.\nAnswer: 2, 3, 1857217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/(f*f*(f\/(f*f*f*(f*((f\/(f\/f**(-2)))\/f*f)\/f)\/f*f*f))\/f))\/f*f))**1\/(f**(-2)\/(f*f**11\/f)) assuming f is positive.\nAnswer: f**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 627544744.\nAnswer: 2, 78443093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9377\/5 + 78688\/45. Let t = 127 + c. Put t, 1, 1\/4, 2\/11 in decreasing order.\nAnswer: 1, 1\/4, t, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*w**(-5)*w))**(1\/51))**(-11) assuming w is positive.\nAnswer: w**(-55\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 111 - -79?\nAnswer: 18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 30.29 (b) 17 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6690 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 29*a - 1037. Let t be o(36). Solve 103*p = 107*p + d - t, 4*p = -4*d + 16 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j + 1. Let h be i(-2). Suppose 0 = -2*s - 4, 3*q + 11 = -2*q - 3*s. Sort q, h, -9.\nAnswer: -9, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 + 37. What is the units digit of -92*(-4)\/x - -3 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -15.05.\nAnswer: -14.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37041, -296435, -1000603, -2371965, -4632941?\nAnswer: -8005951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 74824*n**3 - 43910*n**2 wrt n.\nAnswer: 448944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 114?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -17. Let t be (4156*-2)\/(26\/k - -6). Is 2\/(0\/(-2) + 32\/t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -77*z - 1. Let b be l(-1). Let r = b + -30. Let c be r\/8 - ((-14)\/(-8) + -1). Solve -31 = c*t - 11 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 534856788 to the nearest integer?\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6 = -2*l + 10, 0 = l + 3*w. Let k be 2\/(-5) - 21\/(-15). Let t be (-2)\/2 + k + 5. Solve -5*m = x + 2 + l, -t*x + m = 18 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**5\/(r\/r**(-1)*r))\/(r**(2\/9))**(9\/8))**27 assuming r is positive.\nAnswer: r**(189\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 73*l**2 - 1. Let k(g) = -1795539*g. Determine y(k(o)).\nAnswer: 235349101938033*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 2\/5 (c) 1\/3 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 39 + 473. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4422194 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 + -671?\nAnswer: -682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1784 = -2*v - 5*t + 1787, 2*t - 3 = v - 2*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 9*p**2 + 6*p - 10. Calculate the remainder when 57 is divided by z(-10).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from {q: 7, u: 2, j: 4}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**2 + 46*h + 24. Does 13 divide r(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3*n + 4*n - 26, 142 = -23*n + 5*z. Let r(s) = 3 - 4 - 5*s**3 - 5*s + 5. Let m(v) = -v**3 - v. Calculate n*m(f) + r(f).\nAnswer: -f**3 - f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 798\/1197*(-2)\/(8\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yryy when four letters picked without replacement from riiiryyiiryiyiiyr?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-3 - (-2 - 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 7:22 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/43, 2\/21, 4, 413\/4?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*n = -3 + 1, -2*s + 2*n = -8. Suppose 4*r - s = 3*d, 5 - 2 = 4*r - 5*d. Suppose r*v = 20 - 6. Calculate the lowest common multiple of v and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -5*z**7\/168 + 7*z**6\/18 + z**5\/2 + 23*z**3\/2 - 11*z**2 + 1. Let a(v) be the first derivative of j(v). Factor a(p).\nAnswer: -5*p*(p - 6)*(5*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*z + 454 + 16 = 0. Solve 0 = 4*v + 14 - z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -146*m**3 - 197*m - 2*m**2 - 233*m**3 - 4 + 926*m**3 + 4*m**2 wrt m?\nAnswer: 3282*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6043127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7368*t**5 - 145*t**5 - 2601*t**5)*(2 - 1 + 1).\nAnswer: -20228*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -459 + 929. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1485, 6021, 13609, 24249, 37941?\n\"Answer: 1526*z**2 - 42*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 68 = -5*a, -16 = -3*w + 8*a - 3*a. Calculate the lowest common multiple of w and 5260.\nAnswer: 15780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 47*p**2 + 5*p. Let u(m) = 24*m**2 + 2*m. Give -5*u(w) + 2*z(w).\nAnswer: -26*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 30*m + 1383 - 13*m + 75*m - 1395. Does 21 divide s(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 684.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**2 + 26532*d = 0. What is d?\nAnswer: -8844, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153281394?\nAnswer: 2, 3, 7, 67, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 t when three letters picked without replacement from araiateat.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 247 take away -0.032212146587?\nAnswer: 247.032212146587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - 123444333413?\nAnswer: -123444333343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 22*m + 651. Let o be p(-32). Which is smaller: -36 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 12 - 5 = -3*z, -z - 13 = 5*q. Let c(r) = -2*r**2 + 0*r - r**2 + z*r. Let x(y) = 2*y**2 - 6*y. Let h(t) = -4*c(t) - 5*x(t). Factor h(m).\nAnswer: 2*m*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.016329 months in centuries?\nAnswer: 0.0200136075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121101 (base 3) to base 13.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2218156135 to the nearest integer?\nAnswer: 47097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*y - 3*z - 2, -9 = -4*y + 5*z. Let n(j) = j**2 + 4*j - 5. Let t be n(y). Which is the biggest value? (a) 1 (b) 4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + (-11237)\/255 - -20) + 29?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 6 = 5*g. Suppose -1 - g = -a. Let z be a + ((-27)\/4)\/3. Is -1\/2 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 - -36. Suppose d = -0*n + n - 5*w - 151, 2 = w. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.106407872 take away 16?\nAnswer: -15.893592128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -1192, 81, 0.2 in ascending order.\nAnswer: -1192, -19, 0.2, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/2 + 24\/16. Let s(n) = -3*n + 3*n - 3*n**k + 2*n**2. Let r(b) = 4*b**2 - 7*b + 7*b + 0*b**2. Give r(s(o)).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4426?\nAnswer: 2, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -x**7\/1260 - x**6\/120 - x**5\/30 + x**2. Let q(j) be the third derivative of b(j). Is q(-6) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yr when two letters picked without replacement from {y: 11, r: 3}.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 919619 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*m**3 - 1145040*m**2 + 763366*m - 127228 = 0. What is m?\nAnswer: -63614, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -106*z**2. Let n(q) be the second derivative of -5*q**4\/12 + 2*q + 340. Give a(n(u)).\nAnswer: -2650*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + f = 3 - 10, -s + 9 = 5*f. Suppose 5*d - 8 = 3*i - 34, 2*d = s*i - 16. Solve -16 + 6 = -i*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2. Let k(o) = o**2 + 2. Let v(u) = -2*u**2 - 5. Let f(h) = -5*k(h) - 2*v(h). Give f(m(g)).\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.004031 and -0.12006968.\nAnswer: -0.11603868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, f: 3}. Give prob of picking 1 f and 1 x.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 153645\/(-10)*(56\/(-12) - -4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.326 - -0.826. Put -2\/5, v, 2\/5, 7\/11 in ascending order.\nAnswer: -2\/5, 2\/5, v, 7\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49509.6 greater than -1\/79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 273*x - 462. Let a(n) = n - 2. Determine 924*a(p) - 4*u(p).\nAnswer: -168*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -7*q**3 - 2*q**2 + 1. Let o be v(-1). Suppose -3*s - 2 + 4 = 2*u, u = 5*s + 14. What is the greatest common divisor of u and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, -3, -1\/2, 8 in decreasing order.\nAnswer: 8, -0.06, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -368840715 > -368840715?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*p + 5*f = -51*p - 1064, -787 = -3*p + f. Let i be (-259)\/(-9) - 6\/(-27). Calculate the greatest common factor of p and i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 1648*l - 92 = -1650*l, l + 20 = -c for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -30, -29, -26, -21?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 + 20 + -12 + (-28 - 23)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**4\/3 + 49*a**3 + 1631*a**2\/3 + 495*a = 0.\nAnswer: -135, -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 0 (c) 3 (d) -211 (e) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 882, 1\/5, 1\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -7 - (5 + -7 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**5 - 2*z**4 + 2*z**4 + 3*z**5 - z**5 - z**5 + z - z**5 - z + (-5 + 5 - 2)*(z**2 - z**2 + z**5) + 121*z**5 + 2*z**2 - 180*z**5 + 94*z**5.\nAnswer: 31*z**5 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 - (2 - (5 - 5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1420.04 - 1420.24. Let d = 8596\/135 - 318\/5. Which is smaller: d or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187425071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 + 1. Which is the second biggest value? (a) 3 (b) k (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -125.4 - 20.6. Let w = 212 + t. Let b = w - 66.5. Round b to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19373673 is divided by 58005?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -234*y**2 + 6*y + 4. Let r(i) = -226*i**2 + 5*i + 3. Determine 4*r(t) - 3*x(t).\nAnswer: -202*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-96)\/(-256) - 86\/16. Sort -1, 8, -4, t in increasing order.\nAnswer: t, -4, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3903, 15662, 35263, 62706?\nAnswer: 97991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-7)\/((u*u\/((u\/u**(-7))\/u))\/u*u))\/(u**(-2)*u\/(u*((u\/(u*u**(1\/4)*u))\/u*u)\/u*u*u)) assuming u is positive.\nAnswer: u**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15877537, 15877513, 15877489, 15877465?\nAnswer: 15877441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k + 106. What is the remainder when 42 is divided by u(-20)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -1355*a**8\/168 + 263*a**5\/20 - 322*a**2 + 2. Find the third derivative of j(b) wrt b.\nAnswer: -162600*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7875408 by -7875408.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 11:04 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 0, 24, 72, 150, 264?\n\"Answer: p**3 + 6*p**2 - p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3065 + 1?\nAnswer: 3066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 8. Suppose -g*f - z - 17 = -123, -4*z = f - 25. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3443127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -40? (a) 5 (b) 2\/5 (c) 6 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -2*q + 1472. Let g = q - -525. Suppose -t = 3*z - g, 0 = 5*t + 2*z - 718 - 15. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 52640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 8:04 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27542979?\nAnswer: 3, 479, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4929 (b) -2 (c) -2\/419\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/50 and (-6)\/(-40)*(8 + (-232)\/(-24)).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 121 - 85. Let j = 44 - y. Solve g + j = 3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12243 is divided by 4643?\nAnswer: 2957","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -10*x**3 - 1. Calculate b(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20, -15, 48, 199, 468?\n\"Answer: 5*p**3 - p**2 - 27*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*i = 338, 2*c = 24*i - 26*i + 696. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3 = 2*n, 0 = 5*i - 5*n - 3 - 7. Let a(x) be the first derivative of 0*x**2 - 2 + 0*x + 1\/3*x**3 - x**4. Calculate a(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2507833000 to the nearest one million.\nAnswer: -2508000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11105020 (base 7) in base 15?\nAnswer: -13e56d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 579*a + 1141. Let w(g) = -4058*g - 7984. Let c(z) = -6*w(z) - 44*y(z). Find the first derivative of c(j) wrt j.\nAnswer: -1128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -7*h + 5. Suppose 0 = -0*o + 5*o. Let v(s) = o - 3 - 6*s + 7. What is 4*c(i) - 5*v(i)?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**3 - 313190517*t**2 + 626381025*t - 313190511 = 0?\nAnswer: 1, 104396837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q - 58 = f, -203*q + f = -206*q + 12 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 3*z + 3, 4*v - 3*z = 3. Let y = -1.3 - -0.5443. Let p = y - 0.0443. Which is the nearest to -1? (a) p (b) -0.3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmj when three letters picked without replacement from tevjejjdemt?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -1201.3 and 0.4.\nAnswer: -1200.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1215 divided by -5.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 328432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 42.6. Let i = k - 11. Which is the nearest to -1? (a) i (b) -4\/3 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-2)*93\/((-21390)\/(-736)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/1389729 and -31\/12817?\nAnswer: 9728103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 26*r - 44. Let m(p) = -2. Give -88*m(x) + 4*s(x).\nAnswer: 104*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1873474 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (-22 - (-2 + 1) - (46 + -55))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25032 and 33096.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**3 + 7*g**2 + 2*g + 2. Let j(y) = -9*y**3 + 20*y**2. Let h(o) = -10*o**3 + 21*o**2 - o - 1. Let a(p) = -5*h(p) + 6*j(p). Give -2*a(k) + 5*c(k).\nAnswer: -2*k**3 + 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.07 - -0.17. Let b be 14\/8 - (7 - 6). Sort w, 1\/2, b in decreasing order.\nAnswer: b, 1\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/28*175\/750\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9091?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/18)\/(12\/18)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 72\/5 of a century?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*a + 69 + 66 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -86 + 21*j + 2*j**2 - 15*j**2 + 12*j**2. What is the lowest common multiple of p(15) and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*d = 36, -60 = -3*w - 2*w - 4*d. Suppose 0 = w*k - 4*k - 24. Solve 0 = u - 1 + k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrcrxiccixrpxxixli. What is prob of picking 1 c and 1 l?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + j = -j - 6, -15 = -5*f + 5*j. Let z be (0 - f) + (0 - -109). Round z to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -13*l + 646. What is y(50)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 173*x. Let h(j) = 2*j. Give h(c(t)).\nAnswer: 346*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 6. Let i be (-4)\/8*(-6)\/h. Let p be 48799996\/8 - i\/(-2). Round p to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20746 is divided by 2592.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 4*d**2 - 4*d + 3. Let c be o(-5). Let v be (-2)\/1 - c - (-3 - 0). Suppose -5*u = v*g - 13, 5*g - 16 = -3*u - 5. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i - 646 = 14*i + 2*q, -5*q = -2*i + 658. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5345, -43370, -146557, -347486, -678737, -1172890?\n\"Answer: -5430*s**3 - s**2 - 12*s + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -235728404*g**3 + 12911*g**2 + 18*g - 11.\nAnswer: -1414370424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r**2 + 4*r - 3. Let i be 5\/(0 + 3 - (2 + 0)). Let m be (-69)\/(-24) + i\/40. Let l be -3*(-4)\/18*m. Give q(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 4, -2, 35, -1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5960283.\nAnswer: 3, 7, 29, 9787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8036283 and 411?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*g - 4*g**2 + 0*g + 339*g**3 + 3*g**2.\nAnswer: 339*g**3 - g**2 + 24*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 536.\nAnswer: 3752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, k: 3, f: 3, r: 1, n: 2, d: 1}. Give prob of picking 1 k and 1 f.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (8 - (7 - 0)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5687987 to the power of 1\/3, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**2 - 82*i - 64. Let p be a(32). What is the greatest common factor of 1024 and p?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/1082015 and -91\/450?\nAnswer: 97381350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/5*172755\/53746.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 3*t = -2, -2 = -5*r - 4*t - 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(720))*4 + 1 + sqrt(35)\/(sqrt(7) + sqrt(7)*-4) + -1*sqrt(5)*2)**2.\nAnswer: 1370*sqrt(5)\/3 + 94070\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or 463?\nAnswer: 463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 82 + -113 + 69 + 72?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384179 is divided by 497.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -466 - 226 + 36*p + 10*p + 1435 - 430 wrt p.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -253*1\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4\/7, 0.2, 4, 15, 1\/13, 718 in descending order.\nAnswer: 718, 15, 4, 1, 0.2, 1\/13, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xtg when three letters picked without replacement from gtxg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11205 = -657*u + 82*u - 14548 + 3328 for u.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(((-473)\/129)\/11).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 17*h**2 + 7*h - 4. Give c(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6824239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = j + 24. Suppose -j*l + 5*c + 134 = 0, -l + 5*c + 2 = -39. Calculate the remainder when 87 is divided by l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -277 - -279. Solve -4 = y*s, -2*j - 4*s = -5*j - 7 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 7:04 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z + 2*z - 6*z)*(-94 + 9 + 27)*(z + z + 0*z + (-6 + 4 + 1)*(3*z - 2*z - 2*z) + 14*z + 4*z - 8*z) to the form s + u*z**2 + q*z and give u.\nAnswer: 2262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/2)\/(-5 - -3)*75. Let l = -70 - w. Let d(s) = s**3 - 6*s**2 + 4*s + 5. Determine d(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.99 and 25.\nAnswer: -24.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17773103 to the power of 1\/2, to the nearest integer?\nAnswer: 4216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**3 - 4*w**2 + 21*w - 17. Let l be c(1). Solve -8 = l*a + q, -3*a + 3*q - 3 = -0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274366 plus 74?\nAnswer: 274440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 + 5.5946\nAnswer: 5.5246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -707, -2829, -6367, -11321?\nAnswer: -17691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 6*q + 2. Let g be x(-5). Let k = -1 - g. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 800*z**5 + 28240*z**4 - 81182*z**3 + 34550*z**2 + 16224*z + 1368 = 0.\nAnswer: -38, -3\/20, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzqzzzzzzizz. What is prob of sequence zz?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2200923713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-3)*(-30)\/20.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*w - 260, -4*w + 337 = 4*h + 1. Suppose 9*d = 4*d + h. Let f = -22 + d. Which is the biggest value? (a) 5 (b) f (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6041 - -18?\nAnswer: -6023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 417740 (base 10) in base 6?\nAnswer: 12541552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**4 + 1 - 1 + 3 - 3*o**2 + 3 - 2*o**3 + o - 1 to the form h*o**3 + r + x*o**4 + d*o**2 + a*o and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 27*x - 200 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 5, 10\/11 in ascending order.\nAnswer: -1, 10\/11, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 37 + 1. Suppose 0 = -q - 3 + 3. Let l = q - c. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -142.7 times -1?\nAnswer: 142.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 12*c**2 + 11*c + 7. Let p be (4\/8)\/(555\/110 + -5). Give l(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -w**7\/840 + w**6\/90 + w**3\/2 + 4*w. Let z(i) be the second derivative of q(i). What is the third derivative of z(n) wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 18*b - 49. Let t be g(-21). What is the greatest common factor of 2 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (2 - -11) - 15 - 5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from {x: 1, n: 1, v: 1, k: 1, p: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 86152271 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1818033768?\nAnswer: 2, 3, 647, 13009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 + 2*k + 1. Let o be q(-2). Let u(x) = x**2 + 2*x - 6. What is the least common multiple of (-20)\/(-1)*2\/o and u(-6)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of o**6\/6 - o**3\/6 + 3*o - 4. Let l(s) be the first derivative of d(s). What is the second derivative of l(a) wrt a?\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75 + -73. What is the remainder when 6 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -453 + 461. Let d be 0\/((6\/(-1))\/(-3)). Suppose -5*s - z + 3*z + 106 = d, -2*s = 4*z - 52. Calculate the lowest common multiple of l and s.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 2*o**2 + o**2 - 2*o**2. Suppose 3 + 15 = 3*v. Suppose 5*z + v = 1. Determine t(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 4*s - 16, -11 = -3*s - 8*k + 10*k. Suppose 3*j = 3 + 6. Calculate the remainder when s is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/((x*x**(1\/10)\/x)\/x)))\/x**(-6))\/((x*(x*x**(-2))\/x)\/(x\/x**(-3))) assuming x is positive.\nAnswer: x**(101\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -26589875 times -1\nAnswer: 26589875","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 590 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7436526.\nAnswer: 2, 3, 1239421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*o = -119*o - 350. Which is the closest to 0? (a) -0.3 (b) 3\/7 (c) 2\/7 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 13. Let v be -4 - (-5)\/((-25)\/(-20)). Suppose v = -9*h + 12*h - 21. What is the least common multiple of i and h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3447906 and 48195?\nAnswer: 465467310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 37 = 2*q - 3*s, -36 = 4*q - 4*s. Let d = -3 - -2. Let c = 484\/35 - 9266\/665. What is the closest to d in -0.1, c, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 983682457?\nAnswer: 2081, 472697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 y when four letters picked without replacement from yyyyyyyyywwwwyyywyy?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 113183641 plus 158?\nAnswer: 113183799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 4*h = 82, 0 = 94*i - 95*i + 4*h + 77 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*b + 24 = 0, -4*f = -f - 3*b - 96. Let l = -18 + f. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c - 9. Let a be d(-12). Suppose 80 = 2*n + a*n. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1344980 and 520.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and -18?\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 22056, 44103, 66152, 88203, 110256?\n\"Answer: b**2 + 22044*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 8:55 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.1702058 rounded to three decimal places?\nAnswer: -46.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from knnaanlaaa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -80928 divided by 36\nAnswer: -2248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -v + 5, -1 = 4*v - 21. Suppose 2*j + l + 7 = 0, l + 3*l + 20 = h. Let q = -284 - -286. Put 2\/3, q, j in increasing order.\nAnswer: j, 2\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 176994 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7*i**5 - 4*i**4 + 6*i**3 + 14*i**2 - i. Let h(t) = 6*t**5 + 3*t**4 - 7*t**3 - 14*t**2. Let g(q) = -5*a(q) - 6*h(q). Factor g(p).\nAnswer: -p*(p - 5)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.007 and 0.4?\nAnswer: 0.393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - (-32)\/(-10))\/((-656)\/40). Let a(r) = 2*r - 14. Let t be a(7). Which is smaller: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 195, -0.5, 0.4, -0.3, 5 in ascending order.\nAnswer: -0.5, -0.3, 0.4, 5, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, j: 2, y: 4}. Give prob of sequence yjyx.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 13481, 13162, 12843, 12524, 12205?\n\"Answer: -319*c + 13800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/10*(-75)\/5 - 1. Suppose 0 = -u*b - 19 - 6. Put b, 3, 0.1, -0.5 in descending order.\nAnswer: 3, 0.1, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-3)\/24*1). Let q be (78\/(-9))\/(l\/(-12)). Suppose 2*s = q + 27. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56 (base 15) to base 9\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 3 - 3)*(2*y + 0*y - y)*(-2*y + 4*y**2 + 2*y + (y - 1 + 1)*(-21*y + 5 - 5)).\nAnswer: 34*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 8*j. Let f(h) = 65*h - 38*h - 27*h - 6*h**2. Determine f(m(d)).\nAnswer: -384*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 326*o + 1334. What is w(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glvgg. Give prob of sequence vg.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + -0.3. Let l = 12.32 + 1.28. Let z = l - 14. What is the second biggest value in h, z, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22)\/(-5) - (-99)\/165. Find the second derivative of 1 - 2*p**f - 24*p**3 + 13*p**5 + 24*p**3 - p**4 + 48*p wrt p.\nAnswer: 220*p**3 - 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 2 (c) 0 (d) 10 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5874331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1494\/109957 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**5 - u**4 + u. Let w(a) = -8*a**5 - 6*a**4 + 2*a - 1. Let c(z) = 6*n(z) - w(z). What is the second derivative of c(d) wrt d?\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(640)\/sqrt(8) + sqrt(5) + 1*((sqrt(5)*-2 - sqrt(5)) + sqrt(5))**2.\nAnswer: 5*sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 11*w**2 - 20*w - 7. Let u be t(-9). Suppose u*d = -16*d + 756. Solve 2*a = -20 + d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 - 24142*b + 72444.\nAnswer: -2*(b - 3)*(b + 12074)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -92 (b) -0.2 (c) -4 (d) 1 (e) 8.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40581721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 203 and 290.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9, m: 3, f: 4, n: 4}. What is prob of picking 1 n, 1 k, and 1 m?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 5. Let s(x) = x + 4. Let z(y) = -3*r(y) + 4*s(y). Let n(g) be the first derivative of -5*g**2 - 10*g - 59. What is n(v) + 12*z(v)?\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/3)\/(6\/108*(-7 - -3)). Which is the nearest to 2? (a) y (b) 322 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -41\/3 (b) -2 (c) -1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16 or -35854\/2451?\nAnswer: -35854\/2451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1674\/(-465))\/(4\/(-16550))?\nAnswer: 3, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -375.029 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = y + 140. What is the common denominator of -15\/16 and 2 + -3 + (-222)\/y?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.39999925 - -0.4. Round m to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72588 + 361517\/5. Let m = 273 + c. Let r = -542\/3 + 184. Calculate the common denominator of r and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112220212122 + -212000?\nAnswer: 112220000122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 256 + -44580?\nAnswer: -44324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 6*q. Let f be g(1). Suppose 50 = f*s - s. Calculate the remainder when 28 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j + 10. Let l be u(5). Suppose 0 = -19*x + 3*x - 48. Let h = x - l. Solve 0 = 3*v - 9, -h = -5*r + r - v for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.8 - 3. Let l = 136 + 37. Let w = 172 - l. Which is the nearest to w? (a) 0.3 (b) s (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 10*k - 11. Let z = 110 + -109. Let c be j(z). Let d be 4\/(-6) + 1\/1. What is the closest to 1 in 5, d, c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14792554727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 26*b - 126. Let k be w(5). Solve -2*c = -k*v + 22, 5 = 2*v + c - 4 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*2*sqrt(147) - sqrt(147).\nAnswer: 49*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 2*a + 10, 20*c - 23 = 22*c - 5*a for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-17)\/45 - (-2)\/(-9). Let i = -72 + 73. What is the nearest to 0.3 in l, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.2691 - 2.2691. Which is the biggest value? (a) v (b) 2.29 (c) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 3*b**5 - 1434*b**4 + 164940*b**3 - 302730*b**2 - 2483343*b + 5836644 = 0.\nAnswer: -4, 3, 187, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (129\/(-86)*34\/(-85))\/(2736\/(-160)).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2773 and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*x**4 - 540*x**2 - 34066*x?\nAnswer: -336*x**2 - 1080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**3 + 10*q**2 + 3*q**3 - 5*q**2 - 5*q**2.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 7668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*(o*(o*o**(-1\/3)*o)\/o)\/o*o**3)\/(o**1)**(-18\/7) assuming o is positive.\nAnswer: o**(173\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 886 is divided by 190?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - (0 + 3) - -3) + (-515 - -524)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 - 2*z + 1. Let k be x(2). Solve k*u + 11 = 31 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1046*c**2 - 142*c**2 + 797*c**2.\nAnswer: 1701*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 8 - 4 = 3*q, 2*r + 5 = -5*q. Let a be (-1)\/(q\/(-2)) + 1. What is the highest common factor of 2 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - -3 - (-18)\/9. Let z = d - 5. Solve 0 = 5*h - 2*g + 19, h + h - 4*g - 2 = z for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*d - 28*d. Suppose d = -4*l - 2*s + 464, 2*s = 4*l + s - 458. Does 23 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 3*j**2 + 4*j - 2. Let m be b(2). Is -2 - (-1 + (m - 54)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 271.1989 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3142\/(-4))\/(3\/6). Let x = k - -2818. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 2*c - 24 = -2, -3*j = c + 11 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 7*b = -2*b. Let x be ((-14)\/(-4) - b)\/((-10)\/(-140)). Suppose -54*d = -x*d - 8095. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 441 + -441.7. Which is the second smallest value? (a) -46 (b) x (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515 + 741*d + 358 - 761*d - 873.\nAnswer: -20*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351778 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 675 a factor of 299025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 126.160014038 - 126.16. What is j rounded to seven decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w**4 + 7*w**2 - 4*w - 17*w**2 + 2 + 11*w**2 in the form v + t*w**4 + m*w + y*w**3 + u*w**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (5 - (-3 - (-2 - (5 + -2)))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, e: 1, c: 2, m: 2, f: 1}. What is prob of picking 2 z and 1 m?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -90159*w**3 - 58165*w?\nAnswer: -540954*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 w, and 1 j when four letters picked without replacement from btjjbwj?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/((-95)\/(-40)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 463382*o**5*p - 2*o**4*p + 230*o**2*p + 2*o*p + 2*o - 547*p wrt o?\nAnswer: 27802920*o**2*p - 48*o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -14533.\nAnswer: -1\/14533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 26173.027 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.6 and 4.\nAnswer: -10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**9\/4536 - f**8\/1260 + f**7\/1260 + 2*f**3\/3 - 3*f**2\/2 + 2*f + 25. Let u(d) be the second derivative of k(d). Factor u(x).\nAnswer: 2*x**3*(x - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 3*n - 9, 4 = -b - n + 3*n. Let t be -2*(-3 - 2\/b). Suppose 5*k = t*x + 9, -4*k + k + 2*x = -7. Is k a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 591464 greater than 591425?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 68455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43981 is divided by 333.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8511741 divided by 2837247\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 + 40. What is the least common multiple of f and 54?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 45*n**2. Let y(f) = -6800425*f. What is y(a(h))?\nAnswer: -306019125*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162, -132, -96, -54, -6, 48?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 - 32. Suppose -k = -5*m + 11, 4*m = -2*k + x + 4. Let y = 4.908 - -0.092. Put -1, k, 14, y in decreasing order.\nAnswer: 14, y, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-20) - (-69)\/(-90). Sort -0.5, t, -1\/7, 0 in decreasing order.\nAnswer: 0, -1\/7, -0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7340999.\nAnswer: 1171, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000673 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1147*t + 20*t - 62040 = -243*t for t.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20656 - -20654. What is the closest to -0.1 in -0.023, 1\/3, -2\/5, t?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 119*b**2 - 5 + 122*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**2\/9 - 68*n\/9 - 110 = 0.\nAnswer: -11, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 13*p + 5. Which is the nearest to p? (a) 4\/7 (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -163 or -13554\/83?\nAnswer: -13554\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 711172 is divided by 71112?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 31. Suppose f + 2*f + 2*l + 36 = 0, 5*l = -2*f - 24. What are the prime factors of (-3)\/((f\/v)\/4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1974 divided by -2?\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72287*n**2 - n + 3*n**3 + 36140*n**2 + n + 36147*n**2.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/7)\/(22\/((-4)\/2))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3172563 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - -58. Calculate the smallest common multiple of f and 55.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2110 and 0.03?\nAnswer: -63.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -51172?\nAnswer: 51174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1) + (3 - (-7 - -17))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/3 + -5 + (-1 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 65467?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 19, m: 1}. What is prob of picking 1 m and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 23\/75, -7, 0, -3 in increasing order.\nAnswer: -7, -3, 0, 23\/75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1353880767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 46 - (5 - (5 - 3) - 7)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7851 divided by -3\nAnswer: 2617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/(sqrt(48)\/sqrt(4)) + sqrt(1300) + 0 + 1)**2 + (sqrt(65)\/sqrt(5)*-3 - (sqrt(156) - 2*sqrt(156))\/sqrt(12)) + -2.\nAnswer: 20*sqrt(13) + 1572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 + -39. What is the third derivative of 57*i**2 + 42*i**3 - 96*i**3 + 39*i**f + 54*i**3 wrt i?\nAnswer: 4680*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -76 and -45.9?\nAnswer: 3488.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 10*n + 11. Let x be q(-14). What is the tens digit of ((-48)\/5)\/((-309)\/x + -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -987*j + 543*j = -497*j - 1378 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 3 + 3)*(3 + 2*d**2 - 3) - 46*d**2 + 4 + 23 + d - 20*d**3 - 26.\nAnswer: -18*d**3 - 46*d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (6 - 3) + -104 + 29?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1, 14, 33, 58?\n\"Answer: 3*g**2 + 4*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12857 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 206203, 157, 3, -4, -5 in ascending order.\nAnswer: -5, -4, 3, 157, 206203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 57971383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10*(-3)\/(-2))\/3. Solve -c*z = -5*o + 7*o - 19, -z - 5*o - 10 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -27.\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -31. Suppose -2 = 2*l, -4*l = 6*w - i*w - 2. Suppose -808 = -4*s + q, -2*s - 2*q + 422 = w*q. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141205 (base 7) to base 12\nAnswer: 13661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53467507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-150)\/45)\/(45\/(-6)). Let j(c) be the second derivative of f*c**3 + 0 + 8\/3*c**2 + 1\/36*c**4 + 7*c. Factor j(s).\nAnswer: (s + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lzk when three letters picked without replacement from lwzzwik.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**4 + 3*u**2 - 3*u**2)*(-5*u + 0*u + 3*u) - 3*u - u**5 + 3*u - 20*u**5 - 16*u**3 + 16*u**3.\nAnswer: -19*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(675) + -6*(sqrt(675) + sqrt(675)*2) - sqrt(675))**2 + 0 + 3 + -3.\nAnswer: 218700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14*(-16)\/(-672))\/(2\/(-36)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.14 + 1.04. Let f be (4\/(-3))\/((-16)\/(-9)). Which is the nearest to z? (a) f (b) 3\/2 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6890, 5, 1, 0 in decreasing order.\nAnswer: 5, 2, 1, 0, -6890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, p: 3, d: 2, u: 2, a: 2, g: 1}. Give prob of picking 1 w and 1 d.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/((-213)\/(-284)*8\/18))\/(14\/7).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is -1993 greater than or equal to 892.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 9 = y - 6*p, 0 = -5*y + 4*p + 13. Let v be 0 - 2 - (-27)\/y. Calculate the highest common factor of v and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = 255*d + 214*d + 17269 for d.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-9 - -6) - 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31715*j**4 + 5*j**2 + j - 1557247 wrt j.\nAnswer: -380580*j**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x + 12 = 0. Let g = 3 - -27. What is the highest common factor of x and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/60)\/(1*-1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -556 - -1096. What are the prime factors of (h\/24)\/15 + 359\/2?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*f + 43*f = 24. Suppose u + 3 = -2*d - d, -u = 4*d + 3. Suppose -4*p - 4 = -5*o + 4, -11 = o - 5*p. Solve m + o*r + 15 = -d*r, f*r + 19 = 3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.575 - 0.65. Let x = 0.395 + o. What is x rounded to 1 dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i + 3*i**4)*(-2 + 2 + 1)*(6*i + 11*i - 2*i).\nAnswer: 45*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2080111797?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 9 = 3*s - 3*k, -s + 3 = -k. Differentiate -6 + 8 - s*w + 2*w**3 + 35 with respect to w.\nAnswer: 6*w**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -212 * 1005.\nAnswer: -213060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4656 is divided by 161?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/2 (b) -4\/9 (c) 12 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 115*x**2 + 7*x + 9. Let n(b) = -56*b**2 - 3*b - 4. Calculate 7*n(l) + 3*q(l).\nAnswer: -47*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -21. Suppose 0 = -r*k + 4*o - 3*o + 83, -3*o = 4*k - 71. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = w + 4*w - 21, -4*w + 22 = 5*q. Let d(l) = 0*l**3 + l**2 - 2 + l - 2*l**3 - 2*l**q. What is the units digit of d(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -0.38 (b) 3 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5 + 11. Suppose -11596*o + 11560*o + 108 = 0. Solve 2*k - u - o = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 1131*u**2 - 117*u + 117. Let g(p) = -39*p**2 + 4*p - 4. Suppose 32*s + 48 = 6*i + 36*s, -4*i = -4*s + 8. What is i*a(o) + 117*g(o)?\nAnswer: -39*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -94ec5 (base 15) to base 13.\nAnswer: -137081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 12 + -10 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39ed0a (base 15) to base 6.\nAnswer: -135400331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -4, 1, 5, 3798721 in descending order.\nAnswer: 3798721, 5, 2, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.02 + 0. Let l = -0.08 - c. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(68) + -1 - sqrt(68) - (sqrt(68) + -4))*1 + (3 + (sqrt(612) + 0)**2 + sqrt(612) - ((sqrt(612)*2 + sqrt(612))**2 + 1)).\nAnswer: -4897 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/12424914 and -67\/180.\nAnswer: 124249140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: a5d9 (base 16) to base 10\nAnswer: 42457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a day in minutes?\nAnswer: 6840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4*(0 + sqrt(180) - sqrt(360)\/sqrt(8)).\nAnswer: -12*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*h = 35, 5*t = 2*h + 178 - 54. Let b be 4\/t - (-600)\/156. Let p(d) = -4*d + b*d + d - 3*d + 1. Let f(w) = -w. Determine 5*f(c) - 2*p(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 53407890 divided by 10?\nAnswer: 5340789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 115*v + 13 + 21 - 34 as f + l*v and give l.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddll. What is prob of picking 3 d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -110712141*n**2 - 66061712*n?\nAnswer: -221424282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, a: 1, t: 4, h: 1, w: 1, u: 1}. Give prob of picking 1 e, 1 t, and 1 u.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35 or -2701?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**2 - 9*i. Let w(g) be the third derivative of g**5\/20 - g**4\/3 + g**2 - 32. Let o(x) = 5*n(x) - 6*w(x). Factor o(a).\nAnswer: -3*a*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476 is divided by 81.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 8*h**2 + 3*h + 10. Let g be f(-10). Calculate the highest common divisor of g and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*b + 7*b - 89851. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 440\/105 - (3528\/(-108) + 34)?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 14*w**2 + 14*w + 9. What is the units digit of x(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 89863985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1019 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 665*p + 6490 = 284*p + 253*p + 858 for p.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 - 326.\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(-5*sqrt(11)) - (5 + sqrt(11) + sqrt(396)).\nAnswer: -36*sqrt(11)\/5 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(4\/(-6)) - 245\/(-85)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01378 rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of 5*l**3\/6 + 126*l. Let i(c) = c**2 - 4*c**2 + 2*c**2. Determine i(j(f)).\nAnswer: -25*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12984 = -11*h - 12995. Which is the second biggest value? (a) 2 (b) h (c) -484\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12730 * -49719.\nAnswer: 632922870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 50208835 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d270 + -3?\nAnswer: d26d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 19.1. Is u equal to -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 5669?\nAnswer: 5669.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.5 + -1.6. Let j = 29.57 - 31.6. Let g = j - -0.03. What is the closest to d in 0, g, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 116*k**2 - 118*k**2 - 1 - 97*k**3.\nAnswer: -97*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 2*p**2 + 3*p + 3. Let n be u(3). Suppose -n*y - b = 1, -1 - 1 = 3*y + 2*b. Let f be (3\/(6\/10))\/(-1). Sort y, f, 4 in ascending order.\nAnswer: f, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of x**10\/75600 + 19*x**5\/60 + 56*x**2. Let q(g) be the third derivative of w(g). Let q(y) = 0. Calculate y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 12044*u + 1403*u - 412*u + 1 as j + a*u and give a.\nAnswer: -11053","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1100041 - -3?\nAnswer: 1100044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 302052024 - -121?\nAnswer: 302052145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45758 and 481966?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 686.95 - 687. What is the third smallest value in 4\/17, t, 0?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1266, -1317, -1344, -1341, -1302, -1221, -1092, -909?\nAnswer: -666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 2 (c) 32\/5 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 27587832.01 to the nearest 1000.\nAnswer: 27588000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -317 + 299. Calculate the smallest common multiple of 0 - (-9)\/m - 1617\/(-2) and 12.\nAnswer: 2424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16090?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-148995)\/(-88) + (-1)\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20884 times 0.5\nAnswer: -10442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.45145 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -2*y**7\/21 - y**6\/8 + 5*y**5 - 95*y**4\/6 - 368*y**2. Factor d(n).\nAnswer: -5*n*(n - 2)**2*(4*n + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o - 5. Let u(p) be the second derivative of 0 - 11\/6*p**3 - 16*p - 7*p**2. Give 17*n(k) - 6*u(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -115\/3 in -5, -12, 4, -3, -8?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 156.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-42)*-7 - 4. Put k, 16, 1 in increasing order.\nAnswer: k, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141900 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 5, 15, 4\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*f**4*x**2 - 4*f*x**2 + 2643*x**2 with respect to f.\nAnswer: 92*f**3*x**2 - 4*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of s**4\/48 + s**3\/8 + s**2\/4 - 5*s. Let v(y) = 0. Calculate y.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*q = -1202, -3*q + 2402 = 5*j - 645. Factor -4*a**2 + 104*a - j + 64*a - 1371 + 214.\nAnswer: -4*(a - 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 218.4 + -224. Let l = -8.53 + -0.07. Let k = l - a. What is the nearest to 1\/4 in 2\/5, 4, k?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/(108\/(-8)))\/((-2)\/3). Put -6, 5, 0, z in decreasing order.\nAnswer: 5, 0, z, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*2*333\/407*187\/(-68)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4 = -4*s + 44, -3*s - 5 = -4*h. Find the third derivative of -11*k**3 + 11*k**3 - 42*k**6 - 114*k**h + 2*k**2 + 111*k**5 + 79 wrt k.\nAnswer: -5040*k**3 - 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 187\/630 and 103\/10?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -1729?\nAnswer: -1724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**3*t**3*w**3 + 2*f**3*t*w**2 - 7*f*t*w**2 + 85*t**3*w**3 - 7*t**3*w wrt w?\nAnswer: 6*f**3*t**3 + 510*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 190151777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 9, -5, -0.1, 3\/7, -5.6 in descending order.\nAnswer: 9, 3\/7, -0.1, -2, -5, -5.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10309365377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 163205422 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 150770, 150800, 150840, 150896, 150974, 151080, 151220?\n\"Answer: c**3 - c**2 + 26*c + 150744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**2 - 13*p - 9. Is 13 a factor of z(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69 and 9637.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87439.\nAnswer: 11, 7949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**2 - 11586*l - 33088253 = 0.\nAnswer: -6479, -5107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2810930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a week in hours?\nAnswer: 1428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - (83 - -3)) + -3. Let j = b - -148. Let h = j - 37. What is the remainder when 83 is divided by h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-12) + (-7)\/3)\/(21*(-57)\/(-84))?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 5*r**3 - r**2 - 3*r + 2. Let k(p) = 31*p**2 - 4*p - 5. Let f(i) = 4*k(i) - 7*v(i). Does 9 divide f(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y - 16*y + 120 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2220827969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 1 - 3)\/(-1). Suppose -4*k = -12 + 4. What is the third derivative of m**4 + v*m**2 + 0*m**4 - 3*m**k wrt m?\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*g = -22, 6*p - 3*p = -2*g - 19. Let w = 36 - 34. Let r = 4.6 + -5. What is the nearest to 0 in w, r, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**5 - 17*c + 17*c - 9*c**3 + 3*c**5 + 9*c**3 + (4*c - 21 + 21)*((c**2 - c**3 - c**2)*(-3*c + 2*c + 0*c) - 2*c + 2*c - 2*c**4).\nAnswer: 3*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, -5, 5, -3, 1610 in descending order.\nAnswer: 1610, 6, 5, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dufzuqdfdqqq. Give prob of picking 1 d, 1 z, and 1 q.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/313867 and -79\/39730?\nAnswer: 3138670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -90 <= 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1126293, 1126310, 1126339, 1126380?\nAnswer: 1126433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (55 - 23)) + 43?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 272\/3*o - 500\/3*o**2 + 116\/3*o**4 - 4*o**5 - 20\/3*o**3 + 48 = 0?\nAnswer: -2, -1\/3, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b**5 - 32*b**4 - 96*b**3 + 128*b**2 + 64*b = 0. Calculate b.\nAnswer: -2, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*j**3 + 7308*j**2 + 9780*j + 3264.\nAnswer: -3*(j - 272)*(3*j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 277 - 116. Let f = t + -151. What is the greatest common factor of f and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -226, -251, -310, -415, -578, -811, -1126, -1535?\n\"Answer: -2*w**3 - 5*w**2 + 4*w - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*-17.\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 14 = t, 20348*j + 2*t = 20349*j - 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 443922 or 443892?\nAnswer: 443892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 + 260*x**2 + 5408*x + 35152.\nAnswer: 4*(x + 13)*(x + 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j + 736 = u, -j + 24*u - 27*u + 58 = 0. Solve -5*f = -j + 88 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1240, 0.2, 36?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1601 + 655661?\nAnswer: 660562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 6*h - 14. Give d(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/7)*y**(6\/19))**1 assuming y is positive.\nAnswer: y**(99\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*r**2 - 7*r**2 + 2*r**3 + 32*r**2 - 15*r**2 - 20 to the form t*r**3 + i*r + o + j*r**2 and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + 184410?\nAnswer: 184426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -23*g. Let b(i) = -37*i - 7. What is q(b(o))?\nAnswer: 851*o + 161","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -42378, -42263, -42072, -41799, -41438, -40983, -40428, -39767?\n\"Answer: x**3 + 32*x**2 + 12*x - 42423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-4)*(-8)\/2. Suppose -q*b + 2*t = 29 - 104, 5*b = -t + 60. Solve -2*f + 10 = -0*f, 3*a - 5*f = -b for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 155 = -36. Let x be (62\/(-6))\/((-2)\/6). Suppose -x = 5*j - l. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 121710.\nAnswer: 121710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -1.412.\nAnswer: 0.706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*a - 23*a = 0. Suppose -p + h = -2*p + 10, 5*h - 25 = a. Let w be p + (1 + 2 - 2). Solve -2*b = -w, 2*o - 8*b + 3*b = -23 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 652830 and 960.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -5\/4. Let n = 0.02 + 4.98. Which is the nearest to 2? (a) n (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07365237 times 3?\nAnswer: -0.22095711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*y - 33 = 70*y + 3*q - 6, -4*y - 4*q - 32 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -710784 (base 9) to base 12.\nAnswer: -183457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.2 + -7.5. Let f = -15327743.699907 + 15327750. Let q = f + r. Round q to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*x**3 + 3 + 4*x**3 + 2 + 9*x**2 + 4*x**2 in the form t*x**2 + j + m*x**3 + k*x and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3103230470 to the nearest integer?\nAnswer: 1459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 4*c + 25. Let u(t) = 1 - 7*t + 4*t - c + 5*t. Suppose 40 - 15 = 4*a + 3*w, 2*a - 11 = -w. What is u(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + y - 2*y)*((102 - 15*y - 102)*(-1 - 4 + 4) - 5*y + 0*y + 2*y)*(2 - 3 - 1)*(3*y - 2*y + 2*y).\nAnswer: 144*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -5 - 5*f**3 + 5*f**3 + 3*f**3. Let t(s) = -2*s**3 + 3. Determine -3*m(i) - 5*t(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 2*i**2)*(10 + 6 + 6 + 1 + 0 + 0 + (3 + 3 - 7)*(4 - 3 - 2))*(-116 - 102 + 62)*(1 + 2 - 4) in the form j*i + k + w*i**2 and give w.\nAnswer: -7488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of l**4\/6 - 2*l**3\/3 + 7*l. Let s be d(-6). Let t = 293 + -281. What is the greatest common divisor of t and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*l - 72 = 0. Let t = -25 + 36. What is the remainder when (-585)\/l - (-3)\/(-2) is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + t - 3*t)*(-77 - 22 - 176).\nAnswer: 1100*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from viyzaqyi. What is prob of picking 1 a and 1 i?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/(((l\/(l*l*(l\/(l*l**7)*l)\/l))\/l)\/l))\/l)*l**9\/l)\/((l\/l**(-2))\/l)**(4\/17) assuming l is positive.\nAnswer: l**(213\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 11351, -6\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c - 10. Let m be g(-15). What is the third derivative of 7*p**5 - 8*p**2 - 5*p**5 - 22*p**2 - 17*p**m wrt p?\nAnswer: -900*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**5 + 1042*c**4 - 4*c**3 - c**2 - 20*c + 25?\nAnswer: 60*c**2 + 25008*c - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m + m - 4*m + 9*m.\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1550 is divided by 30?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (10\/15)\/(((-88)\/30)\/11)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -6\/209?\nAnswer: -6\/209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -15*k**3 - 4*k**2 - 8*k - 7. Suppose 3*q = q - 5*j + 19, -5*q + 1 = -3*j. Suppose -2*x + 7*r + 19 = q*r, -2*x - 26 = 4*r. Is f(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.4 (b) -48\/103 (c) 0 (d) -1 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 92778 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, -0.5, 5, -2.85, -3\/8 in descending order.\nAnswer: 5, -1\/10, -3\/8, -0.5, -2.85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 13004321 (base 6) to base 4\nAnswer: 1212300121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-5))\/(3\/10). Let b be 6\/(-4) - (-2)\/o. Calculate the common denominator of -30\/7 and 1 + b*(-117)\/66.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-344)\/(-14))\/(4\/14). Let i = v - 82. Suppose 0 = 7*n - 3*n + i*z - 936, -4*n + 954 = -2*z. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3488568 is divided by 1570.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**3 - 19*b**2 - 12*b - 22. Let j be z(-9). Suppose 0 = 4*k + 2*f - 426, j*k + 3*f - 864 + 330 = 0. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 803851.8 litres to millilitres.\nAnswer: 803851800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 234714209 >= 234714208?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*m - 32, 0 = 3*q + 4*m - 7 - 1. Let a(t) = t + 8. Let j be a(-5). Let l be 2\/j*(-12)\/(-8). Put -3, q, l in increasing order.\nAnswer: q, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232103 (base 5) in base 6?\nAnswer: 303124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.7, 0.2, -1\/22 in increasing order.\nAnswer: -1.7, -1\/22, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19381, 38684, 57953, 77170, 96317?\nAnswer: 115376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**3\/3 + 566*m**2\/3 - 1126*m\/3 + 562\/3 = 0.\nAnswer: 1, 281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6194 + 18306. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-3) + 1)*1. Let n be (-1)\/m*(-3 + 7). Let d(g) = g**3 - 5*g**2 + 5*g + 1. Is d(n) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12452, 0, 4, 1, -12 in ascending order.\nAnswer: -12452, -12, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 350 = -0*j. Suppose 2*w + 3*n = 23, 2*w - 2*n = -2*w + j. Let l = w + -9. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, l: 8, d: 4}. Give prob of sequence bbl.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - -453?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/52630 and 99\/4450.\nAnswer: 23420350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301467*k**2 + 634*k**3 + 0*k + 0 - 1\/3*k**4 = 0 for k.\nAnswer: 0, 951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 7578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Simplify ((sqrt(1300) + 2 + -3 - (1*sqrt(1300) + 2))*1 + 2)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88615641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 268 and 10992?\nAnswer: 736464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -62.18*2.12\nAnswer: -131.8216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/4710979 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -12.8. Is g bigger than 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18.4 + 19. Let k = 16 - 61\/4. What is the closest to z in k, 2, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -9*q**2 + 13*q. Let x(p) = 2*p**2 - 3*p. Let a(l) = 6*i(l) + 26*x(l). Let m(s) = -3*s. Calculate a(m(k)).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -1\/14*l**7 - 3\/10*l**5 + 0*l**2 + 3\/10*l**6 + 0*l**4 + 3 + 0*l**3 + 7*l. Factor a(g).\nAnswer: -3*g**3*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6404a99 - 4?\nAnswer: -6404a9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/1604 and 17\/66150.\nAnswer: 53052300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) 4\/5 (c) -6 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -16*t + 8. Let c be d(-3). Let b be (-14)\/c - (-154)\/8. Solve -1 = 4*v + b for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7017111 - 2.\nAnswer: -7017113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-2 + -2)) + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/5 - 1644\/(-4795)*14\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.59 + -2.69. Let q = -20 - -18. What is the closest to -0.1 in j, -3, q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1734719*z**2 - 1949955 wrt z?\nAnswer: -3469438*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -72a + -3?\nAnswer: -731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(924\/48) + (-43)\/112.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1b535b (base 12) to base 8\nAnswer: -1665267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.2 + -1.2. Let y = g - 7. Let c = -5.2 + -3.8. Put c, y, 4 in decreasing order.\nAnswer: 4, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 67 and -3.\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 9, -2\/4743, -3 in decreasing order.\nAnswer: 9, -2\/4743, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iqu when three letters picked without replacement from quxiutee.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 431 times -0.1519?\nAnswer: -65.4689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywykysyyy. Give prob of sequence wky.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 4*t = -12. Let f be 2\/6*(t - -36). Calculate the greatest common divisor of 39 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11337?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 183 = 15. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x**3\/3 + 5*x**2 - 3*x + 23. Suppose 0 = 5*r - 26 - 24. Let t be z(r). Let q(s) = -s - 3. Give q(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 410333103 + 3?\nAnswer: 410333111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -6\/7*u**3 + 1\/420*u**6 + 1\/4*u**4 + 0*u - 20*u**2 + 0 - 4\/105*u**5. Let r(o) = 0. What is o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2 + 4 + 2*j**2 + 6*j + 1. Suppose 145*n - 11 = 146*n + 2*q, -5*q - 14 = -2*n. What are the prime factors of a(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3065912?\nAnswer: 2, 179, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a kilometer in meters?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1376188 is divided by 1129?\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102304*c**3 - c**2 + c**2 - 51162*c**3 - 51163*c**3.\nAnswer: -21*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + -3*(sqrt(121) + (-2*sqrt(121) - sqrt(121))))\/(sqrt(44)*-5))**2 + -5 + 5.\nAnswer: 539\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 117590 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/13958780 and -37\/888286.\nAnswer: 97711460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**4 - 351376*q**3 - 3162220*q**2 + 351376*q + 3162222 = 0?\nAnswer: -175679, -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*k**2 + 16*k**2 + 45*k**2.\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-20)*296\/(-444)*10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3941, -12\/151, 4\/5, 0 in decreasing order.\nAnswer: 2, 4\/5, 0, -12\/151, -3941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.6 - -13. Let b = -19 + 19.3. Are l and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23806.614 rounded to the nearest ten?\nAnswer: -23810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 310\/1173 + 27\/391. Factor -1\/6*q + c - 1\/6*q**2.\nAnswer: -(q - 1)*(q + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 7*y**3 - 9*y**2 - 8*y + 6. Let x(k) = -50*k**3 + 60*k**2 + 58*k - 40. What is -20*v(u) - 3*x(u)?\nAnswer: 10*u**3 - 14*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 105299734.629984 + -105302584. Let y = b + 2854.27. Let s = y + -4.9. Round s to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3180757?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 479, -2531, -10673, -26515, -52625, -91571, -145921?\nAnswer: -218243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 25\/441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11392983\/235 - -48481. Calculate the common denominator of 31\/282 and y.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000010100101101 + -111?\nAnswer: -100000010100110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pjsqspppqqup. What is prob of sequence qjsp?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oppssqzqppqy. What is prob of sequence sqy?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11005 - -18?\nAnswer: -10876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 434311 to the power of 1\/2, to the nearest integer?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.6 or -1\/4?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ripprypryihpppaiipap. What is prob of sequence rh?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -927 + 2427. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24.2, 42, 4, 2, -0.5.\nAnswer: -0.5, 2, 4, 24.2, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 91\/(-52)*-1*18\/21?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 982527476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 937*b - 1043*b**2 + b**3 - 1878*b + 939*b - 3*b**3 as c + m*b**2 + h*b + v*b**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -613062, -613029, -612998, -612969, -612942, -612917, -612894?\n\"Answer: -d**2 + 36*d - 613097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**19\/(f**(-22)*f)*(f\/(f**(-2\/7)*f)*f)**27)**11 assuming f is positive.\nAnswer: f**(5753\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -281.78 - -278. Let p = l + -0.22. Let y = -3.9 - p. Which is the nearest to 0? (a) 5 (b) 3\/7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1246303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11105, 23116, 35127?\n\"Answer: 12011*t - 906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -6 + 3. Let v be 8\/(-3)*3\/2. What is the third smallest value in -2, v, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 751739\/3 at most 250581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of f**4\/24 + 5*f**3\/6 - 3*f**2. Suppose 2*n + 28 = -2*n. Let c = 1 + n. Determine x(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 726*k = 848*k - 4636 for k.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -4. Let u be 3 + -1 + v - -8. Solve -b = -u*b + 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-10))**27\/(n**(-1)\/(n*n*n**(2\/11))))**(-47) assuming n is positive.\nAnswer: n**(137945\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2102, -21 in decreasing order.\nAnswer: 0, -21, -2102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.57 + -0.57052. Let h = k - -0.002. Round h to four decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16314 is divided by 48?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 471435575 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -122 in 0.4, -1, 0.034, 0.0316?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 7 (b) 0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 1 + u**3 + 13*u**2 + 1 + 6*u**3 - 3*u. Let j(r) = 5 + 2644*r + 38*r**2 - 2652*r + 20*r**3 + 0*r**3. Let s(d) = 17*i(d) - 6*j(d). Determine s(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - -17. Let b = a + 9. Is 0.11 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16135265?\nAnswer: 5, 797, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 240 - 229. Let m(w) = -w**3 + 13*w**2 - 20*w - 19. Let y be m(x). Solve -b + 1 = y for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0755 and -229.\nAnswer: -17.2895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 0*u**2 - u - 4*u**3 + 77 + 5*u**3 + 0*u**2 + u**2. Is n(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -16, 3, 8\/23 in decreasing order.\nAnswer: 3, 8\/23, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 258 + -150. Suppose q*b = 109*b - 507. What are the prime factors of b?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 81 = -19*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83036 = 2*z + 28764. Round z to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 6 (b) -0.0546 (c) -74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23715, 55652, 95811, 144192, 200795?\nAnswer: 265620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -105, -175, -209, -141, 95, 565, 1335, 2471?\n\"Answer: 11*v**3 - 48*v**2 - 3*v - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 51\/4 + (-1)\/(-4). Let i = -10 + 33. Let v = i - s. Calculate the lowest common multiple of v and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 10*y - y + 2240 = 0. What is the remainder when y is divided by 199?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 177\/67 - -3202\/335. What is the common denominator of 2\/9 + (-2509)\/(-4680) and z?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.32*-0.0286001.\nAnswer: 0.209352732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -137916933*b**5 - 70869043*b**2 wrt b?\nAnswer: -8275015980*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 218*p**2 + 100*p + 305. What is the tens digit of d(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88150027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5*6*(-5 + sqrt(272))**2 - ((sqrt(272)*3)**2 + 2 + (sqrt(272) + 3*2*sqrt(272) - sqrt(272))**2)).\nAnswer: -1200*sqrt(17) - 3335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42627\/16 - -10657\/4. Let z(b) = b**2 - 6*b + 4. Let n be z(5). Let g = 2 + n. Is m < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and 13594?\nAnswer: 135940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = l - 4*l. Is ((-2134)\/l)\/((-2)\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011100 + -10?\nAnswer: -1011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 4)*(7 + 3 - 5)*(-4 - 3 + 6)*(-1 - 431*j + 2*j**2 + 431*j) to g + u*j + x*j**2 and give g.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (189 - 4\/(1 - 5)) + 0 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 81886?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(480) - sqrt(480))*-3)\/(2*sqrt(40)\/(-2*sqrt(4))).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 302*y**5 + 163852*y**3 + 4917*y**2 - 708.\nAnswer: 18120*y**2 + 983112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/86260 and 83\/22700.\nAnswer: 431300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*z + 19*z + 1080 = -32*z. Which is the fifth biggest value? (a) -0.4 (b) z (c) 2\/7 (d) -3 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qssqsssssssqssssssq. Give prob of picking 2 q and 2 s.\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4272, 4319, 4366, 4413, 4460?\n\"Answer: 47*s + 4225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 5*p + 5. Let t = 0 + 5. Suppose 3*k + 2*k - t*n = -10, 0 = 5*n + 15. What are the prime factors of b(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = b - 3*k, -4*b - 88 = -b - 5*k. Let l = b - -5. What is the remainder when (-3)\/(-12) + l\/(-12) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*1\/(2\/218). Let t = -27 - q. Is t + (1 - (3 + -5)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28016611001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o - 2. Let d be r(-10). What is the highest common divisor of d and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**2\/9 - 25996136*w\/9 + 84474885866312\/9 = 0.\nAnswer: 6499034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**5 - 6*m**3 - 6*m**2 - 9*m - 6. Let y(v) = v**5 + v**3 + v**2 + 1. Let g(p) = -h(p) - 6*y(p). Find the second derivative of g(x) wrt x.\nAnswer: -100*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**9\/12096 + p**8\/4032 + p**7\/504 - p**5\/15 - p**4\/6 + 32*p**2. Let i(s) be the third derivative of z(s). Factor i(j).\nAnswer: -5*j*(j - 2)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**6 + f**4 - f**3 + f**2. Let p(k) = 3*k**6 + k**4 - k**3 + 4*k**2. Let w(r) = -m(r) + p(r). What is the third derivative of w(c) wrt c?\nAnswer: 480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25681 = -14*t + 100469. What are the prime factors of t?\nAnswer: 2, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.7 + 7.7. What is the closest to -2 in -0.2, a, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2237 from 9.\nAnswer: 2246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-6))\/((-10)\/4).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -8*m - 52, 4*m + z + 35 = 11 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1075745667?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (34\/5 + 1)*5. Let k = v - 6. What are the prime factors of k?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.55458 plus -144?\nAnswer: -144.55458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 31 * -298.92\nAnswer: -9266.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3970, 7829, 11646, 15397, 19058, 22605, 26014?\n\"Answer: -4*o**3 + 3*o**2 + 3878*o + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**2 - 2*u + 3. Let b = 43 - 41. Determine l(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 + 152*s + 1. Let p(r) = -2*r + 85. Calculate l(p(j)).\nAnswer: 8*j**2 - 984*j + 27371","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 3*q - 20 = 0, 102*r - 12 = 98*r - q for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122 - (191 - 254) - (19 + 1).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 876*l**2 + 4*l**5 - 876*l**2 - 12*l**4 - 5 + 3*l**3. Let o(s) = 2*s**5 - 6*s**4 + 2*s**3 - 2. Let x(z) = -2*h(z) + 5*o(z). Factor x(w).\nAnswer: 2*w**3*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 167*h + 243*h + 1598*h + 29*h + 738*h to the form w*h + r and give w.\nAnswer: 2775","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by -270.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -129025 divided by 5\nAnswer: -25805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28273960*f*g**3 + 2*f*g**2 - 230353*f*g + f + 2*g**3 - 3*g - 14 wrt g?\nAnswer: -169643760*f*g + 4*f + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 n when two letters picked without replacement from {g: 1, p: 1, a: 1, k: 2, x: 1, n: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnnigincgiiwccnggign. Give prob of picking 1 i and 1 c.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -77998, -77708, -77232, -76576, -75746, -74748?\n\"Answer: -i**3 + 99*i**2 - 78096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - -25*(-1692)\/(-2520).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4127?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - 3*a - 13, 454*j - 455*j = -13*a - 11 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**3 + 7*n**2 - 23*n + 27. Let k(m) = -m**3 - 4*m**2 + 11*m - 14. Let l(c) = -4*i(c) - 7*k(c). Factor l(q).\nAnswer: -5*(q - 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 50 - 47 + 78 - 5*o + 69*o. Is v(20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/3*4\/14*695\/51430?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 4*i - 8, -5*l + 3*i = -0*l - 63. Suppose 3*f - l = -0*f. Solve -2*d + 6*d + 2*d**2 + 2*d**3 + f*d**2 = 0 for d.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(-x**2 + 3*x**2 - x**2) + 0*x**2 + 4*x**2 - 2*x**2 + (2*x - x + 2*x)*(2 + 1 - 1)*(1 - 6 + 3)*(1244*x + 2532*x - 758*x).\nAnswer: -36212*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10608 + 10340.35. Let x = -383 - z. Let a = x - -117. What is a rounded to 1 decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -955bc (base 13) to base 10.\nAnswer: -269034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5193144 a multiple of 869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2311621 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 19 = 90. Let o = 68 + y. List the prime factors of (-7 - -4)\/(o\/169).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u + 4*u - 3*u)*(-50 - 171 + 51)*(-7 - 6 + 5) to g*u + i and give g.\nAnswer: 2720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 202 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -18, -4, -31, -11.9, 20\/9, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -89, -185, -297, -431, -593, -789?\n\"Answer: -b**3 - 2*b**2 - 83*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**3 + 13*u**2 + 4*u - 8. Let i be l(-6). Let a be ((-50)\/(-40))\/((-2)\/(-32)). Factor a*q**3 + 0 + 40*q**i - 35\/2*q**2 + 5\/2*q.\nAnswer: 5*q*(q + 1)*(4*q - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 7*c**2 + 11*c - 27. Determine o(7).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 + -13. Let y be 234\/(-15)*30\/f*-3. Suppose -w - 5*x = -38, -4*w + 52 = -4*x - y. Calculate the greatest common divisor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -83 + 83. Suppose n = -5*s + 457 + 943. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -600 + 1656. Suppose -5*l + b = 28*l. What is the greatest common divisor of l and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d = 33*d - 63 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -2\/6773 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 787 is divided by 86.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.99451 - -0.00549. Let l = 0.3 + 0. Which is the smallest value? (a) r (b) -1 (c) l (d) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 2*v + 7. Let y be c(-5). Let n = -28 + 69. Suppose n - 6 = -5*w. Does w = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, h: 1, x: 11, g: 2, e: 1}. Give prob of picking 1 e, 1 g, and 1 k.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**4 + 8586*t**3 - 603045*t**2 + 10759164*t - 10164708 = 0. Calculate t.\nAnswer: -2931, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.52815718 to 4 decimal places.\nAnswer: 0.5282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**4 - 2*b**4 - 2*b**4 + (3*b**2 + b**2 - 7*b**2)*(0*b**2 + b**2 + 2*b**2).\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -n**7\/840 - n**6\/120 + n**4\/6 + 113*n**3\/6 + 12*n + 2. Let k(s) be the second derivative of b(s). Factor k(j).\nAnswer: -(j - 1)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 7. Let m be x(5). Suppose -3*y = -4*v + 2, -4*y + 2 = -5*v + m*v. Differentiate -3 + c**4 - v*c**4 + 2 with respect to c.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 5:35 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*k + 4992 = 22*k + 122*k for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 2385.378ng?\nAnswer: 0.000000000002385378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus -1332421019?\nAnswer: 1332421018.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + o - 18. Let d = 283 - 283. What is s(d)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 204796\/9 - 22778. Is -24 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**4 + 1030*j**3 - 70380*j**2 + 1571130*j + 1642545.\nAnswer: -5*(j - 69)**3*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7.34, -2\/5, 25?\nAnswer: -7.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -8*a - 9. Let g be t(-1). Is 15 a factor of (-43)\/((-1)\/(g - -2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6665876506 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -38500*z + 1655422. Determine k(43).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -648 + 1132. Suppose -i = 1, 3*j - 4*i - 288 = c. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 794526 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.8111788 years?\nAnswer: 0.0008111788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76538 divided by -1141.\nAnswer: 10934\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8677 - -5104. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a hour in seconds?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f + 1 + 79 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p**3 + 2*p + 2. Let i be b(-1). Let a be (78\/i)\/((-5)\/(-10)) + -2. Suppose -44*s + a*s + 343 = 0. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t = 3*t + 36. Let d be 74 + (1 - 0) + -1. Suppose -2*f - 4*o + 26 = 0, 5*o - d = -t*f - 28. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + -12. Let y be ((-12)\/u)\/((-13)\/(-5)). Suppose 422*x = 774*x - 386*x. Which is greater: y or x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/7)\/k**(-6\/11))\/((k**(-8)*k)\/k*k**1))**2 assuming k is positive.\nAnswer: k**(1206\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3 + -3 + sqrt(425) + sqrt(425) + sqrt(425) + (-1 + sqrt(833) + sqrt(833) + 4 + sqrt(833))**2 + -2)*1.\nAnswer: 141*sqrt(17) + 7493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1926119.\nAnswer: 13, 229, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - 31) + -2 + (-25 - -2).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1681.1 * 0.1.\nAnswer: 168.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 658037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 11) in base 9?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7824 - 22440?\nAnswer: -31364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -t + 4*t - 4*a, -13 = -t - 4*a for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2356 divide 200127417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 6206*y + 4 - 18842*y + 6311*y + 6218*y as d + g*y and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 3*k**2 + 3*k + 1. Let z = 5 - 9. Let v be l(z). Solve -5 + 25 = -5*u - 3*r, -v*u = 5*r + 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**5\/10 - q**4\/4 + q**2 + 2*q. Let w be x(-2). Solve -9 - w = -5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-4)\/(-14))\/(1920\/9184) and 119\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -184, -367, -562, -775, -1012?\n\"Answer: -f**3 - 176*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*a = -26*a + 6, 0 = -2*o + 2*a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9968 divided by 2?\nAnswer: -4984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {m: 4, t: 1, g: 5, s: 2, w: 4}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 take away 0.054858?\nAnswer: -63.054858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62909, -133104, -203299, -273494, -343689, -413884?\nAnswer: -484079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*d + 42*d + 266 = 0. Let k = d + 86. What is the highest common divisor of 624 and k?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-1080)*10 + 160\/18?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -1. Suppose r = 4*y - y - 9. Differentiate -1 - n**3 + 2*n**y + 3 wrt n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87495 + -87458. Suppose -2*a + 10 = g - 4, a = 5. Sort g, i, -1, -4.\nAnswer: -4, -1, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - 0 - (31 - 20 - 19) - -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -143268.\nAnswer: -143270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 3:12 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 44 = -3*p. Let i = 3 + 0. What is the lowest common multiple of p and i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/((-34)\/(-51))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 293 - 45. Let n = 234 - f. What is the second smallest value in 4, -2, -4, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 644237939?\nAnswer: 31, 677, 30697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1899284 to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -994602 rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1 (b) 4 (c) 2\/227 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/10)*p**(-6\/7)*p*(p\/(p\/(p\/p**2))*p)**(-12))**(2\/67) assuming p is positive.\nAnswer: p**(3\/2345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -19*p**6\/8 - 17*p**5\/60 - 249*p**2. What is the third derivative of i(j) wrt j?\nAnswer: -1710","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 755 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5740 and 205.\nAnswer: 5740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 598 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 1 + u - u - 2*u - 2*u. Let a(v) = 5*v + 2. Let d(i) = -1. Let h(p) = -a(p) - 3*d(p). Give -3*h(o) + 4*q(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - (-15)\/2)*(-1 + 3). What is the greatest common factor of 1 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c - 2*c**2 + 0*c - 5*c.\nAnswer: -2*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -36?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 7 + 9. Let v be b*(7\/(-2) - -1). Is (-4)\/v + (-206)\/(-10) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25088.081 rounded to the nearest one hundred?\nAnswer: 25100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1860 a factor of 13287840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 567 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 694, 5791, 19624, 46561, 90970, 157219?\nAnswer: 249676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -24, -0.3231, 6, 1, -1 in descending order.\nAnswer: 32, 6, 1, -0.3231, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 441070.7 micrograms?\nAnswer: 0.0000004410707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -11 (b) 0.12 (c) -0.2 (d) 2.6 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1607 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 27. Suppose -2*t = -0*t + u - 612, -u = o. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -51.6?\nAnswer: 51.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**2 - 5185*a + 1255938 = 0?\nAnswer: 874\/3, 1437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 26. Suppose -5*q - p = -5*x - 0, -3*x = -5*q. Solve -8*s - 12 = -x*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/5 and -29\/460?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-2*sqrt(300) - (1 + sqrt(300) - sqrt(300))*-5.\nAnswer: -20*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - s + 860 = 0, 2*s = 5*s. Calculate the greatest common factor of 10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -6*g**3 + 8*g**2 + 21*g - 6. Let m(y) = -3*y**3 + 4*y**2 + 10*y - 2. Let t(r) = -3*l(r) + 7*m(r). What is t(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147 - 375 + 42 = -80*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v**2 + 2*v + 24. Let k be d(15). Suppose -3*g = -11*g - 344. Let m = g - k. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 3162ba3?\nAnswer: -3162ba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 + 2. Let y be r(5). Suppose 3*j - 5*j - y = 0. Let l = 49 + j. Is l a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 74 - 77.5. Round h to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1085, 1089, 1093, 1097?\nAnswer: 1101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 4*n**2 + n - 4. Let o be y(-3). Let h(p) = -p**2 - o*p - p**3 - 4*p - 10 + 6*p. Determine h(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-7)*(-1)\/(-2))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28986?\nAnswer: 2, 3, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 6 = 5*u. Let k be (-3391)\/u*12\/9. Let j = -1115 + k. Find the common denominator of -41\/4 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -6*y + 5. Let s be (y - 56)*4\/(-10). Let t = s - 11. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + sqrt(2057))*-3)**2*6 + (-6*((sqrt(2057) - (sqrt(2057) + 3)) + -3))**2)*3.\nAnswer: 10692*sqrt(17) + 338580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3940 and 4334.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-91)\/21)\/(79\/(-237))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-3)*3)\/((-16)\/48)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -18*l**3 - 10*l**2 - 10*l. Let a(r) = 6*r**3 + 3*r**2 + 3*r. Let i(c) = c**3 + 14*c**2 + 13*c - 3. Let b be i(-13). Give b*s(q) - 10*a(q).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millennium in years?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14089077.6 take away -0.4?\nAnswer: -14089077.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 - 6*k + 4. Let y be f(1). Suppose y = -3*o + 2*u + 1141, -4*u - 656 = -2*o + 102. List the prime factors of o.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 100104?\nAnswer: -100104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9262 and 220?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10.7 - 9. Let n = b + -3.7. What is the closest to -1\/6 in -0.3, n, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, r: 4, a: 5, h: 3, t: 1, e: 4}. Give prob of picking 1 r, 1 e, and 1 u.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 8*y + 24 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 392 divide 760088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -1023944 and -5.851.\nAnswer: -1023949.851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, 3, -18, 31, 5?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28574?\nAnswer: 2, 7, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - j = -18538, 2*w - 6833 = j + 578. Calculate the remainder when w is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 3*r - 4*h + 19, 20 = 5*h. Let i = 3 - r. Suppose -i*v - 6188 = -50188. What is v rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(980) - sqrt(980))\/sqrt(4).\nAnswer: 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.37 and -2?\nAnswer: 4.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1962 is divided by 412?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3549, 14222, 32027, 56958, 89009, 128174, 174447?\nAnswer: 227822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 56 + 4. Let p be 12 + 2 + (-1 + 10 - 3). Calculate the greatest common divisor of p and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343 + 1300 - 315 - 322 - 320 - 81*a**3.\nAnswer: -81*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 642266 and 20?\nAnswer: 6422660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*s + s + 3*s)*(-s + s - s) + (-14 + 14 - 5*s**2)*(-1 + 0 + 2) to the form b*s**2 + g*s + u and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6426.787l?\nAnswer: 6426787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = u + 25, 1073 = 2*m - u. Suppose 0 = 7*g + 4*g - m. What is the remainder when 96 is divided by g?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-one halves of a tonne?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffjfjffjjjrrfjrfjfjr. Give prob of picking 1 f and 1 j.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-36)\/24*40\/6. Let l(g) = g**3 + 11*g**2 + 9*g. What is the remainder when 19 is divided by l(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 50 = -5*j, -3*j + 44 = -7*j + 2*o. What is the remainder when 10 is divided by 5 - (j\/(-8) + 20\/8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 414\/(-46)*1\/30*(-150)\/15\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) -4 (c) 1.3242\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -6, 2\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 955.4921 decades to years.\nAnswer: 9554.921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**5\/7 + 8*f**4\/7 - 4*f**3\/7 - 16*f**2\/7 + 2*f\/7 + 8\/7 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 799 + -797. Let f(r) be the second derivative of 0 - 11\/12*r**4 + 0*r**3 - 11*r - 4*r**w. What is the first derivative of f(v) wrt v?\nAnswer: -22*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rcr when three letters picked without replacement from rccrc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46871995 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/28 and 17\/116?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 - o - 1. Let c(x) = -5*x**2 - 15*x - 4. Let q(g) = -4*b(g) + c(g). Let r(z) = -4*z**3 - 2*z**2 - 5*z. Calculate 2*q(d) - 5*r(d).\nAnswer: 4*d**3 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p - 1. Let h be z(3). Suppose -1 = -l + h. Let j(a) = -a + 10. Calculate the remainder when j(5) is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 214960682 and 363970.\nAnswer: 1074803410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*l - 6453162 + 4869211 - 7548286. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 13*k**5 + 16*k**4 - 3*k**2 + 11*k + 11. Let u(h) = 7*h**5 + 9*h**4 - 2*h**2 + 6*h + 6. Let d(q) = 6*o(q) - 11*u(q). Factor d(z).\nAnswer: z**2*(z - 2)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 7*y**2 - 5*y - 4. Let z be a(6). Let q = 10 - -40. Suppose -q - 30 = -z*d. Calculate the remainder when d is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 17 = -l + 3, -3*v = -6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/3*-79 - (-40)\/30. Suppose 47*c = p*c - 133. Solve c - 44 = 5*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 - (-2)\/(-13)*416.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-1)*8\/(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 20273676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 251, 368, 553, 842, 1271, 1876?\nAnswer: 2693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1515312 and 619.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xccc when four letters picked without replacement from ccccxxcxcccc.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000083673116 to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k**2 + 6*k**2 + 48*k - 2*k**2.\nAnswer: 15*k**2 + 48*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -86 + 198. Let v be c*-12*(3 + -103). Suppose 13*n = 6*n - v. Round n to the nearest one thousand.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288 and 640.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 231 - 196. Which is smaller: f or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*19\/(285\/70)*(-20)\/210.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92 + 110 + 87 - 19 - 83*n.\nAnswer: -83*n + 270","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + (-27 - (-1 - -6)) + 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-7)*(-70)\/(-8).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42.9401 - -43.41. Let z = u - 0.5. What is z rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6496802*m**2 - 5606027*m.\nAnswer: 12993604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 + -33. Let c(q) be the third derivative of -1\/6*q**3 - 5*q**2 + 1\/8*q**4 + 0*q + 0 - 1\/60*q**5. Determine c(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 5.60873893\nAnswer: 15.60873893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/5, 5, -1133, -1\/4 in decreasing order.\nAnswer: 5, 0, -1\/4, -2\/5, -1133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9306 + 9309. Which is the nearest to -163? (a) -1\/8 (b) -4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 12:07 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 2 - 3 = 2*x, -4*x - 2*m = 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3.68 times 0.24\nAnswer: 0.8832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2 = -0. Let m be 1*9\/v - 1. Suppose 3*s = m*s - 115. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*v**3 - 7801*v - 28422 wrt v?\nAnswer: 6*v**2 - 7801","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -168*m**2 - 7 wrt m.\nAnswer: -336*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19018 is divided by 9475.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9.10422m?\nAnswer: 0.00910422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -26 + 5 - 7 - 16 - 3*z. Let s be l(-13). Let r be 0 + -2 + 40\/(s - -7). Calculate the greatest common divisor of 144 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/21229 in 0.12, 0.5, -6?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6)\/(10\/60)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 15*i - 51. Let r be s(-9). Solve -v = -r*v + 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 392, 90, 3, 1, -1, 2, -8 in decreasing order.\nAnswer: 392, 90, 3, 2, 1, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3*q**2 + 3 + 4*q**2 + 5*q**2 + 3*q**2 - 1 + q**2 + 1 + (-4*q - 2*q + 4*q)*(q + 3*q - 3*q) + q**2 + 2*q**2 + 0*q**2.\nAnswer: 17*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -36. Suppose -533 = -u*w - 113. What is the highest common divisor of 24 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6350*v**3 + 5560*v**3 + 2146*v**3.\nAnswer: 14056*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-418)\/(-51) - 6 - 2. Let s = u - 1\/34. Find n, given that 1\/2*n**2 + 0 + s*n**4 - 1\/6*n - 1\/2*n**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 470*v + 15245. Determine f(-35).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1071 + -0.0071. Let s(q) = 10*q - 1. Let t be s(1). Let k be (-2)\/t - (-56)\/63. What is the fourth smallest value in -4, k, w, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2192493nm in meters?\nAnswer: 0.0000000002192493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.902547212 - -0.4.\nAnswer: 14.302547212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3400200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z = 14*m - 10*m + 16, -20 = 5*m + 5*z for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-52)\/(-14) - 6\/(-21). What is the units digit of f\/(-22) - (-228)\/44?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, d: 5, p: 2}. Give prob of sequence zz.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (596\/11622)\/(-1 + 8\/9).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 40643788.\nAnswer: -40643788.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*l = 38*l - 200. Calculate the highest common divisor of 260 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 5*g**2 + 7*g - 3. Give v(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 403 - 408. Let g = -0.006 - 0.294. Which is the closest to -1\/3? (a) -2 (b) g (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4368 is divided by 1999.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2490 = 29*m - 46*m - 66*m for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -o**4\/3 + 2*o. Let b(d) = -2*d**2. What is b(u(f))?\nAnswer: -32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179716403.\nAnswer: 179716403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 25 = 2*y. Let t = -77 - -82. Solve y = t*c - 2*n, 4*n - 7 = -5*c - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4*t + 6 = x, -4*x + 24 = 2*t. Let k(u) = -u**3 + 7*u**2 - 8*u + 6. What is k(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2925, -11693, -26301, -46743, -73013, -105105, -143013?\n\"Answer: b**3 - 2926*b**2 + 3*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide -5*4\/(-10) + 579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -181762*d - 1017. Is x(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 2*j - 227, -3*p + 2*j + 47 = -2*p. Let b be -3*6\/p*-10. Differentiate 6*f**3 - b + 1 + 8 wrt f.\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*d + 876*d + 172*d + 288*d + 464*d)*(-7*d + 18*d - 34*d).\nAnswer: -39307*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13 + -3d132f?\nAnswer: -3d131c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 378 and 124\/8 + 1\/4*2?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4\/9 + 4*j**3\/3 - 2*j**2 + 8*j\/9.\nAnswer: -2*j*(j - 4)*(j - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + -2 - (835 - 842)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -371042*n**2 + 742068*n**2 - 371041*n**2.\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2.463084 * -0.132\nAnswer: -0.325127088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -374*r + 371*r = -666. List the prime factors of r.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**3 - 72*a**3 + 4*a**3)*(-2*a**2 + 0*a**2 + 3*a**2)*(-3 + 3 - 1).\nAnswer: 72*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 417, 988, 1939, 3270, 4981, 7072?\n\"Answer: 190*l**2 + l + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237*o**2 + 2293 - 1149 - 1143 - 90*o**2.\nAnswer: 147*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-3)\/k*k*k*k*k\/((k**(2\/25)*k)\/k)*(k**1)**(-33) assuming k is positive.\nAnswer: k**(-802\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9d60 (base 14) to base 10.\nAnswer: -27328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-93)\/9 + 2 + 0. Suppose 0 = 17*s - 8*s - 9. Suppose -5*p - s = 34. Which is greater: r or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 4\/3*g**3 - 23\/2*g**2 + 0 + 14*g. Find the first derivative of a(k) wrt k.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10416\/(-800))\/(-21) + (-5)\/10?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 577031 and 663?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*v + 16 + 4 = 0, c + 1 = -4*v. Suppose 9 = 3*s + c. Suppose 5*m + 4*l = 118, -l - 58 = -s*m + l. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of 7031*u**6\/120 + u**4\/6 - 64*u**2. Suppose 5*n + 27 = 7. Let g be s(n). Round g to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -165966*m**3 + 6037536*m**2 wrt m.\nAnswer: -995796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -7)\/(-16 + 12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 676 - 0.2.\nAnswer: 675.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 3:43 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (210\/(-9))\/5*-141. Suppose 3*d + 5*n = -2*d + 785, -4*d + a = -2*n. Is 159 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l**2*p - 33464116*l**2 - 74485916*p wrt l.\nAnswer: -2*l*p - 66928232*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k + 16 = -31*k + 25*k - 3*g, -40*k - 4*g + 72 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -22. Let u = -8 + k. Let w = -2 - u. Solve w*b + 4*b = 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(0 + 6\/(-18)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (-12 - -23) - 1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.105 - -0.055. Let k = -0.95 - -0.11. Let s = k - a. Which is bigger: -1\/10 or s?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -546 and -7937.\nAnswer: 4333602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -150 (base 7) to base 3\nAnswer: -10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxpxmp. What is prob of picking 1 p and 2 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -12278332 divided by 19\nAnswer: -646228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1384.87 and 0.1?\nAnswer: -138.487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 20*l**2 + 12*l + 416. Determine q(-20).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of y**2\/2 - 9. Let s(c) = -7*c**2. Determine d(s(l)).\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -59727\nAnswer: 17918.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 17 (b) -1\/33955 (c) 5 (d) -0.4 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 19468, 24113, 31854, 42691, 56624, 73653, 93778?\n\"Answer: 1548*q**2 + q + 17919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 241, 535, 947, 1477, 2125, 2891?\nAnswer: 3775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 162*f**2 + 3*f + 20. Let g be a(-4). Let z = g + -406. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 138 and 0.05.\nAnswer: 6.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 610 + -655 + (13 - 4).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09 - 0.1. Let n = w + -0.39. Let b = -47 - -44. Sort -2, b, n.\nAnswer: b, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v - 2. Let h be n(6). Let g(j) = j**2 - 11*j + 2. Let d be g(h). Does 4 divide (-8)\/3*12\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/3))**(-5)*m**(1\/3)*m**(-3\/2)*(m**4*m*m\/(m*m**(-8))*m)**17 assuming m is positive.\nAnswer: m**(1441\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-24)*-1*(-176)\/((-56)\/7).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13452636 to the power of 1\/2, to the nearest integer?\nAnswer: 3668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxo when three letters picked without replacement from xmoo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3455113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-11) + 2624\/88. Let y be ((-10)\/30)\/(2\/b). Put 3, -3, y in descending order.\nAnswer: 3, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-28) + (-2)\/2)\/((-166)\/664).\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -350 - -573. Let t = w + -195. Calculate the highest common divisor of 56 and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1101*p + 494 - 138*p - 493.\nAnswer: -1239*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27754613?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 5. Suppose 85 = 4*m - 3*g, 67 = -4*m - d*g + 158. Does 11 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, w: 2, m: 3, f: 1}. What is prob of sequence fmm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -4. Let t be (a - 2)\/((-1)\/3). Let x(h) = -4*h. What are the prime factors of x(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 + 1686*h - 236883.\nAnswer: -3*(h - 281)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (0 - (13 + 2 - (-123 + 140)) - 91)\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 14.5. Let i = x + -2.5. Which is the nearest to i? (a) 1\/11 (b) 0.01 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6025, 12063, 18101, 24139, 30177, 36215?\nAnswer: 42253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343)*-1 + 2)*-1)**2.\nAnswer: -28*sqrt(7) + 347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 238 + 212 = 0. Solve -9*y = p + 32 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of 0*p + 1\/8*p**4 - 3*p**2 + 2\/3*p**3 + 0 - 1\/60*p**5. Give f(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15738 and 7783?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.6*25742.5.\nAnswer: -41188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 u when four letters picked without replacement from {o: 6, r: 8, l: 3, u: 2}?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3\/2 (b) -1.2 (c) -2 (d) 3 (e) -376\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*-3*4\/30. Let u(v) = -6*v**4 + 4*v**3 + 2*v**2 - 2. Let o(q) = -31*q**4 + 20*q**3 + 11*q**2 - 11. Let w(p) = b*o(p) - 11*u(p). Factor w(l).\nAnswer: 4*l**3*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2352228129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2 - 4*u**2 - 2*u**2 + (204*u + 137*u - 119*u)*(5*u - 3*u - 4*u) + 1 - 1 - 13*u**2.\nAnswer: -463*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (64\/40)\/(2\/(-10)). What is the lowest common multiple of 2\/(14\/a - -2) and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.83 + 677.17. Let a = 688.3 - m. What is the closest to -4 in -17, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 682148, 1364299, 2046450, 2728601?\nAnswer: 3410752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.21 and 179824?\nAnswer: 179823.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -31233100221 (base 4) in base 3?\nAnswer: -20202222021000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q**3 - q + 3. Let k(y) = -y**2 - 2*y + 4. Let p be k(-4). Let l(m) = -2*m**3 - m + 2. Let o be 134\/44 + 33\/(-726). Calculate o*u(f) + p*l(f).\nAnswer: -f**3 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 255068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -47*t**2 + 2*t - 1. Determine g(1).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -743 - -748. Suppose 3*w = -x + 27 - 14, 2*w + p*x = 0. Let a(g) = -g**2 + 4*g. What is a(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48*c*h**3*w**2 - 3366*c*h**2*w**2 + 1651*c*h**2 - 276241*h**3*w + 3*h**2 wrt h.\nAnswer: 288*c*w**2 - 1657446*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 989, 1920, 2811, 3656, 4449, 5184?\nAnswer: 5855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 27 - (2 - -2)\/2. What is the derivative of f*b - 8*b - 9 - 10*b wrt b?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221085838 to the power of 1\/3, to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2929 - 80. Suppose 2852 = n + f. Calculate the remainder when n is divided by (-2)\/(-9) - 7\/(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + 1)\/((-9)\/(-15)). Suppose -3*x + 10 = -t. Sort 3, -5, x in descending order.\nAnswer: x, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.001 - 0.001. What is the closest to -1 in -1, 1, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 bigger than 802\/219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 28. Let c be ((-6)\/5)\/(4\/(-20)). List the prime factors of 52\/c - 3\/b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9, m: 9, l: 1}. Give prob of picking 2 d and 1 m.\nAnswer: 108\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14796157567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/23, -1, 8199, 1, 3?\nAnswer: 8199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, 0.3, 8, 625?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/213? (a) 3 (b) -556 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 82 - 55. Let b(y) = -y**3 + 5*y**2 + 8*y - 8. Let s be b(6). What is the units digit of a\/(0 - (-3)\/s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*v = -4*v + 8, -20 = -5*j - 5*v. Let f = 232 + -196. Suppose -3*y + f = -0*y. Which is greater: j or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18651057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 1691*b**2 + 45*b - 384. Let d be l(8). Round d to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, c: 1, n: 2, r: 1, h: 5, v: 5}. Give prob of sequence rh.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -280.2? (a) -3\/2 (b) -0.03 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 181\/60 and -1\/42980.\nAnswer: 128940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5314.697ng to tonnes.\nAnswer: 0.000000000005314697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**26*b*b\/b**(-1\/6))\/((((b\/b**(6\/7))\/b)\/b*b)\/(b**(4\/15)\/b)) assuming b is positive.\nAnswer: b**(5941\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 182291289563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 2 + -3 + -37. Let p = n + 83. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, l: 10, n: 1}. What is prob of picking 1 n and 2 l?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/7 (b) -0.09 (c) 1 (d) 3 (e) 1\/3 (f) -1\/11 (g) -0.204697\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12813 - 7208. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7222101 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/3, -26\/3, -9?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/802 and 89\/22.\nAnswer: 8822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9160 - -9159.9. Sort 84, d, 0, -2\/7 in ascending order.\nAnswer: -2\/7, d, 0, 84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 51*j - 336. What is g(6)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -3, 3, 5, 90, -20700 in increasing order.\nAnswer: -20700, -5, -3, -1, 3, 5, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 56 (b) 0.5 (c) -127627\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 22.6. Let m = v + 4.4. Is 0 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 405, 780, 1155, 1530, 1905?\n\"Answer: 375*l + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -8*d + 25. Let t(n) = n**2 + 63*n + 967. Let r be t(-37). Determine q(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 89, -3, 5, -5\/3999 in ascending order.\nAnswer: -3, -5\/3999, 5, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -299 - -319. Let r be -6*q\/(-36)*21. Let o(t) = 19*t**2 - 2*t - 1. Let g be o(-1). What is the highest common divisor of g and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 0)\/(21\/28*-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1549639.7 to the nearest one thousand.\nAnswer: -1550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*c + 9. Suppose -5*a + 16 + 5 = -2*j, 2*j = -c*a + 29. Suppose -2*i + 3*x = 5*x - 506, a*i + 4*x = 1263. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 9 + 2*b + 3)*(-235545 + 235545 + 258*b) to a + s*b + x*b**2 and give x.\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053415 a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -305, -495, -387, 13, 699, 1665, 2905, 4413?\n\"Answer: -z**3 + 155*z**2 - 648*z + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 353104220 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4 + -3 + (-14)\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-27) - (14 + (-395)\/30).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 3*g + 1125, -2*u + g = -647 - 1589. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 10. Let z be 4 - (3 - (i - 3)). What is the third biggest value in -3, z, -0.05?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9785041 millimeters to micrometers.\nAnswer: 978.5041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 704 + -701. Let l(i) = -i + 2. Let z be l(-2). Solve o*m = 5 + z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = 5*b - 11312. Suppose l - h = 546, 5*h - b = -5*l + 445. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 b when four letters picked without replacement from hbbbbbhbhbhbfbbfhhb?\nAnswer: 275\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1214 + 1217. Sort -5, b, -507.\nAnswer: -507, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and 1206.\nAnswer: 14472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5487 and -0.2.\nAnswer: 1097.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -271579785, -271579783, -271579781, -271579779, -271579777, -271579775?\n\"Answer: 2*z - 271579787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 434\/2170 + 2\/12*190\/(-75).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 8*d = -16. Suppose -4*q = 2*t - 44, -32 = -4*q - 3*t + d. Find the second derivative of 13*a**3 + q*a + 8*a**5 - 13*a**3 + 0*a**5 wrt a.\nAnswer: 160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j - j + 4*j)*((-3 + 1 + 1)*(j - 2*j - j) + 11*j + 33*j - 10*j).\nAnswer: -72*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y**3 + 5*y**3 - y**3)*(3 - 3 + 2) + 8*y**3 + 41*y + 56*y**2 + 16*y - 57*y + 2 in the form m*y**3 + i*y + h + a*y**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.791337 + 66.017466.\nAnswer: 69.808803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 41 - -5053?\nAnswer: 5094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*b + 20*b + 50. Let p(m) = m**3 - 2*m**2 - 2*m - 1. Let g be p(-1). Let a = g - -5. What is the remainder when b is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one sixteenth of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 7*s - 44 = 0. Let g be (0 - (-6)\/4)*4. Suppose -z + g*u + 19 = 5*u, -24 = -z - 4*u. What is the remainder when z is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(28) + (sqrt(7) - sqrt(252)*3))**2 + (-1 + sqrt(175) + sqrt(7) + 5)**2 + -4.\nAnswer: 138*sqrt(7) + 1848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.3 take away 5?\nAnswer: 66.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*l**3 - 35*l**3 - 13*l**3.\nAnswer: -19*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of c**3\/3 - 2*c - 2. Let t(x) be the first derivative of i(x). Let l(m) = -3*m. Give l(t(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-2)\/((-16)\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -20. Let h be (-1*(t + 4))\/2. Is h greater than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(7) + 1)*-5 + sqrt(63)*1 + -1)**2 + -4.\nAnswer: 60 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 4*s. Let u be j(-6). Let g = 19 - u. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 620.2892g?\nAnswer: 620289200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 465 - 332. Is w a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 16) to base 5\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*v - 3 - 112*v**5 - 25*v**5 + 3 - 75*v**5 wrt v.\nAnswer: -4240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 6*g**2 + 11*g + 10. Let z be x(7). Suppose -6*a + 3*a = 0. Let l be (-116 + 2)\/(a - 2). Calculate the highest common factor of z and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 18 - 2 = 0. Let q(l) = -1 - p*l - 9*l - 4*l - 12*l. Is q(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ykdp when four letters picked without replacement from dyjjpddajdky.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 14) in base 15?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23969\/154*7*2.\nAnswer: 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 7. Suppose 0 = w*c - 3*c + v + 18, 5*c - 126 = -4*v. Solve c - 6 = 4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236218*s**3 - 67 - 49269*s**3 - 55 + 122.\nAnswer: -285487*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23166 and 81796.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1407\/(-804)*(-3)\/((-6)\/(-4720)). What is t rounded to the nearest 100?\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 357*c**2 - 471*c**2 - 3*c - 2332*c**2 + 3*c.\nAnswer: -2446*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v + 52*t + 443, -3*v - 40*t = -42*t - 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3 - 268*i**2 - 42295*i + 85654 = 0. What is i?\nAnswer: -113, 2, 379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b**2 - 76180*b - 381000 = 0.\nAnswer: -5, 19050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, b: 1, t: 1, m: 9}. What is prob of sequence mt?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 + 136496*p - 682530.\nAnswer: 2*(p - 5)*(p + 68253)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 2*v = 17, -5*m + 67 = 5*v + 32 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k + 3*k**2)*(2*k - 59*k - 71*k).\nAnswer: -384*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 5*d + 3*y + 189, -5*d - 5*y - 185 = 0. Let n be -1*(-4 - d\/9). Which is the nearest to n? (a) 5 (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4081464 take away 1.1?\nAnswer: 4081462.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9a - 441?\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -770, -2307, -4866, -8447, -13050?\nAnswer: -18675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1168 and 146?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 3595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5702 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -167 + 192. Suppose 22*f + 1479 = i*f. What is the remainder when f is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 4*c**5\/5 + 43*c**4\/2 - 2984*c**3\/3 + 220. What is the third derivative of y(j) wrt j?\nAnswer: 96*j + 516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -5*w + 3. Let h be c(-4). Suppose 14 = 2*t - 4*y, 4*t = -5*y - h - 1. Let r be ((-7)\/5)\/(t\/5). Let v(k) = k**2 - 6*k - 1. What is v(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -116971*f - 2 + 2 + 117114*f to o*f + u and give o.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1720*n**3*y + n**2*y + n + 591*y wrt n.\nAnswer: 10320*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.171 + -0.41667935\nAnswer: -0.24567935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = d, -3*n - 494*d = -495*d + 1. Is n at most -0.00453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - w + 0*w)*(2 - 2 - 2) - 12 + 12 + 4*w + 1 + 1 + 25*w - 16 + 14.\nAnswer: 33*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2. Let y = q + 12. List the prime factors of ((-2)\/4)\/((-3)\/y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**3 - 2*m + 2*m + (17*m**2 - m**2 + 16*m**2)*(-m + 2*m + m).\nAnswer: 62*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15b - -9?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 3*d - 5*j + 199600 = 0, -2*j + 249500 = -5*d. What is d rounded to the nearest one thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 56 - 49 - 68\/10. Determine v so that 2\/5 + 4\/5*v**2 - g*v**3 - v = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120226569 is divided by 7860.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 + 7 = 4*t - 5*p - 10 + 1, 0 = -4*p - 28 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 13*y + 10. Let v(u) be the third derivative of -u**4\/6 - u**3\/2 + 290*u**2. Give -2*s(c) - 7*v(c).\nAnswer: -2*c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -96004 at least as big as 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 738 and 25871?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -2\/22170641?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilometer in meters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -15.2, -17, -1\/4 in descending order.\nAnswer: -1\/4, -15.2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*g**2 - 2*g**3 + g**4 - 39*g + 3*g**3 + 1 + 38*g to the form m*g + q + l*g**4 + r*g**3 + j*g**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 k, and 1 r when three letters picked without replacement from quqrkkrrkqg?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 29\/2 of a millennium?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.94 in -2\/3, 1, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 47.8 and 4127779.\nAnswer: 4127826.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39549 is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/(108\/(-6))*(-14)\/(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 211082\/81 + -2606. Let b = 235\/162 - h. Factor -1\/4*a**2 - 9\/4 + b*a.\nAnswer: -(a - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 145*g - 166.\nAnswer: 145","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131, 262, 401, 566, 775, 1046, 1397?\nAnswer: 1846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1095 and 4896840?\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-9)\/(s*s*s*s*s\/(s\/s**(4\/9))*s))**(3\/5)*(((s*s*s**(6\/7))\/s)\/s)\/s*s**0*((s*s**0*s)\/s)**21 assuming s is positive.\nAnswer: s**(256\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -448 - -460. Suppose d*l - 5*l - 588 = 0. List the prime factors of l.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 11*u**8\/336 + 3*u**5\/20 + 4*u**2. Find the third derivative of y(l) wrt l.\nAnswer: 660*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-25)\/(-1)*(-3 - -7). Let z = -265630\/3 - -88545. Factor -60*w - 65\/3*w**3 - z*w**5 + s*w**2 - 50\/3*w**4 + 0.\nAnswer: -5*w*(w - 1)**2*(w + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28783*f - 28783*f + 14*f**3.\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 384 = -5*t. Let i = -19 + 8. Let d = 27 - i. What is the remainder when t is divided by d?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.151 - -0.351. Which is the nearest to 1? (a) 0.1 (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 3*h**5\/20 + 87*h**4\/4 + 841*h**3 + 42. Solve m(x) = 0 for x.\nAnswer: -58, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3212 a factor of 1281413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11042598 and -7?\nAnswer: 77298186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 42*r - 301*r + 260*r - 54. Let d(u) = -2*u. What is d(s(l))?\nAnswer: -2*l + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2582, -9748, -21690, -38408, -59902, -86172?\nAnswer: -117218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 66*u + 68*u, 3*g + 14 = -2*u for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.716 + -0.284. Let h = -0.3 + 0.1. Which is the third smallest value? (a) -38 (b) h (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*q + 11 = -q, 2*q + 8 = 2*w. Suppose 0 = w*r - 136 - 98. What is the remainder when r is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22\/4 + -2 - 16\/32\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -0.41, 0.1, 0.5, -0.2.\nAnswer: -0.41, -0.2, -0.07, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10654 or -10653?\nAnswer: -10653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from uguqtq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 350 + -349.6. What is the nearest to -1 in 0.08, n, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1082 - 331. Suppose -s = 36*i + 509. What is the nearest to -1\/3 in i, -2\/9, -0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -h**4\/4 + 2*h**3 - 8*h + 1. Let x be 3 - (6 - 5)\/(2\/4). Let o be (x\/(-2))\/((-2)\/24). Calculate c(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23267 - -23184. What is the nearest to s in 1\/6, -6, 2\/7, 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 4*l + 12, -4*t + 9*t + 2*l = 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.4 - -4.8. Let r = l - 27.5. What is r rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m - 115933*d + 115934*d - 104, 3*d + 3 = 0 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -278 - -114. Let y = -163.7 - u. Which is the fourth biggest value? (a) 2\/7 (b) 0.04 (c) -2\/3 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/5 + 36*c\/5 + 46.\nAnswer: -2*(c - 23)*(c + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15733\/6 - 2611. Let s = t + 4\/3. Let w = -93\/2 + 389\/8. Calculate the common denominator of w and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*f - 3*v - 381 = -51*f, -2*f + 296 = 4*v. Solve -122*i + f*i = 24 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/356 and 17\/19847.\nAnswer: 79388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 2, 4, 6 in decreasing order.\nAnswer: 6, 4, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/5 - 113860164*d\/5.\nAnswer: 3*d*(d - 37953388)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -692\/1330367?\nAnswer: -692\/1330367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 6*j**2 - 2*j - 4. Let a(r) = r - 2*r + r + r**2 - r. Let x(k) = 8*a(k) - w(k). Factor x(g).\nAnswer: 2*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 396 + 74 = 4*v, 0 = 2*v + 4*s - 250. Suppose 509 = 3*c + v. Is c - (0 - -1)*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((-2 + sqrt(76) - sqrt(76))*-4 + 4*-1*sqrt(76)))**2.\nAnswer: -512*sqrt(19) + 5120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 6*k**3 - k**2 - 5*k. Let d = -4520 - -4523. Let l(n) = -5*n**3 + 4*n. Calculate d*p(z) + 4*l(z).\nAnswer: -2*z**3 - 3*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 240 - 228 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 12*y**2 - 4*y + 8. Let b be s(-1). Solve 4 = -25*o + b*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o**3 - 26*o**3 + 7*o**3.\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*l = -35*l - 432 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/4 + 348782229*l + 40549681088736147.\nAnswer: 3*(l + 232521486)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/2*(-1)\/(-4)*-17 and 1\/42.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117b (base 13) in base 15?\nAnswer: -ae8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17848?\nAnswer: 2, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/(-636))\/(23\/138))\/(1 + -3)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4 = -2. Let s be ((-3)\/n)\/(-2*(-4)\/(-16)). Let o be 20\/3 - (16\/s + 6). Solve -2*p + 0*p = o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 565, -570329, 5 in increasing order.\nAnswer: -570329, 5, 565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 - 18*o - 39. Calculate y(12).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide (9 - 10)\/((-1)\/64)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 3*k - 9. Let o(j) = -j**2 + 4*j - 9. Let h(l) = 2*c(l) - 3*o(l). Let a be h(2). Sort 4, a, 10.\nAnswer: a, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-3))\/(-1) + -1. Suppose 5*u = -4*w + 25, 3*u - 4 = -1. Which is the closest to 0? (a) z (b) w (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 1. Suppose 2*x - 5*x = -105. Suppose -u = 4*y + 28, -4*y - 4*u - x = y. Calculate a(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09 and 26.\nAnswer: 2.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttjjj. Give prob of picking 2 j.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5*w = 17, 3*w + 35 = 3*d + w. Let j = 0 + d. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a day?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4035 and 386553?\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 28*n**3 - 2*n**2 - 2*n. Let j(k) = 113*k**3 - 9*k**2 - 9*k. What is 9*b(a) - 2*j(a)?\nAnswer: 26*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.46 - 1.54. Let u = -10 - -12. Let z be (u\/8)\/(14\/8). Which is the closest to -1? (a) z (b) 0.4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65 by -817.\nAnswer: 65\/817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, l: 2, m: 2, t: 2, a: 1}. What is prob of sequence ato?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 - (-6)\/3)*1. What is the units digit of u\/14 + 120\/28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 44*y + 11*y + 220 = 0. Sort -66, 3, y in descending order.\nAnswer: 3, y, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x + 1. Let b be i(1). Suppose v = -3*n - 17, -n = -v - b - 1. Let u(a) = a + 10. What is the units digit of u(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + -14. Let x be 600\/6*153\/z. Calculate the common denominator of -55\/8 and (-1)\/(-4) + x\/(-96).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -12*y**3 + y**2 - 1. Determine h(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + g - 5*g)*(0*g - 3*g - 11*g) - 6*g**2 + 5*g**2 + 5*g**2.\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 123 = 378. Does 17 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jujujjujujujj. What is prob of sequence uu?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 16, 47, -4, -3\/13, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 9 + 8\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -14, -6169, -20 in increasing order.\nAnswer: -6169, -20, -14, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-2)\/(80\/90)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8839 is divided by 1104?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*5*(4 + 2*sqrt(720) + -2)*-5)**2.\nAnswer: 1500000*sqrt(5) + 45062500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 + d**3 - 2*d**2 + (-d**2 + 0*d**2 - 3*d**2)*(1446*d - 783*d + 2256*d) in the form n*d + x + b*d**3 + p*d**2 and give b.\nAnswer: -11675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24147 (base 8) to base 16.\nAnswer: 2867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y**2 - 2*y - 6. Let g(a) = 9*a**2 - 4*a - 13. Give -2*g(b) + 5*s(b).\nAnswer: 2*b**2 - 2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(1\/2)*l)**(17\/4)*l**(-7)*l**(1\/5))**7 assuming l is positive.\nAnswer: l**(2261\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-2*sqrt(136)*2)\/(sqrt(288)*-1))**2*6*-4.\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + sqrt(162) + 2 + sqrt(162))*1 + 5)**2*-2.\nAnswer: -3014 - 756*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88546 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 71728486.\nAnswer: 3\/71728486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2003, -4008, -6013, -8018?\nAnswer: -10023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -686*q**3 - 2038*q**2 + 2804*q - 80 = 0.\nAnswer: -4, 10\/343, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9940436, 19881039, 29821642, 39762245?\nAnswer: 49702848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -6*i - 5. Let r = -6 - -16. Calculate the remainder when h(-4) is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9563167 centuries to months.\nAnswer: 1147.58004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 25*k - 92*k)*(-12 + 3 - 5).\nAnswer: 1624*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8845321\/45 - 196571. Let t = k - -595\/9. Let w = -58 + t. Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*s + 4. Let d be 54\/(-10) + 4\/10. Let q be 2\/(-10) + (-21)\/d. Solve -2*h + q = -s for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -948 = -152*i - 6*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uyjufjjuujujjj. Give prob of picking 1 f and 1 y.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -0.2, 3, 2\/7, -2.33?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3745 (base 8) to base 3.\nAnswer: -2202212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-39))\/(2\/(-2)). Let r be (-14)\/((-364)\/39)*8\/(-78). Sort r, 4, 0.3, z.\nAnswer: r, z, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 27 + 13*m**2)*(2*m - 2*m - 2*m) + m**3 + 0*m**2 + 0*m**2 - 2*m**3 + 2*m - 2*m + (3 + m**2 - 3)*(-m + 0*m + 0*m) + 5*m**3 - 6*m**3 - m**3.\nAnswer: -30*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*i**5*q*r + 13*i**5*r - i**2*q - 4*i*q*r + 33*r wrt i?\nAnswer: -300*i**2*q*r + 780*i**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/5 - 321\/(-15)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 843216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*m**3 - 167*m**3 - 13*m**3.\nAnswer: -160*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 6*w - 3. Let l = 16 + w. What are the prime factors of l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, -16, 4, -7, -21 in decreasing order.\nAnswer: 4, -4, -6, -7, -16, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18*1)\/(20\/(-70)). Suppose -8*t + 607 = p. List the prime factors of t.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**3 + 4*d**3 + 0*d**3 + (-2*d + 3*d - 5*d)*(-2*d**2 - 2*d**2 + 5*d**2) to s*d**3 + w*d + c + t*d**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8036191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 - 117 = 12*c. Solve 2*p + b - c*b - 1 = 0, 3 = -p + 4*b for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2365.18 rounded to the nearest one hundred?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -3*z**8\/56 + z**4\/2 + 3*z + 6. Let g(k) be the first derivative of h(k). What is the third derivative of g(i) wrt i?\nAnswer: -360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.066758 rounded to three dps?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 - 5*d**2 + 66 - 120.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 17 + 16)*(0*u**2 + 0*u**2 + u**2) to n*u + q*u**2 + m and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 88057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -11*k**3 + k. Suppose -13 = -h - 2. Let g = -12 + h. Give u(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19615810 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 3*n - 306. Is 17 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 796322*i**5\/9 - 4866272*i**4\/9 + 7699388*i**3\/9 - 3995048*i**2\/9 + 375410*i\/9 - 9800\/9 = 0. What is i?\nAnswer: 35\/631, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(5) + (sqrt(5) - (sqrt(5) + sqrt(20) + -4)) + 5.\nAnswer: -sqrt(5) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 3*q - 15 = 0, -q - 1 = 5*z - 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -74866, -71702, -68536, -65368, -62198?\n\"Answer: u**2 + 3161*u - 78028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 - 171?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 1431?\nAnswer: 4\/1431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 0 + 0*k**2 - 1\/14*k**7 + 0*k**4 + 0*k**5 + 1\/6*k**3 + 0*k**6 - k. Find the second derivative of y(f) wrt f.\nAnswer: -60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g*r**3 + 1407*g*r + 37*g - 43578*r**4 - 3*r + 1 wrt r.\nAnswer: 24*g*r - 522936*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + c**2 + c - 83. Calculate j(0).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 42 = -18*y. Let g(i) = i**3 + 7*i**2 + 8. What is g(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + (5 + -3 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 2*k + (k - 2*k + 3*k)*(0 + 0 - 2) - 3*k + 2 - 2 + 11*k - k - k to w*k + x and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 bigger than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*(-1)\/(-6) - (-16)\/3. Let l(f) = 18 + 20 + f**2 - q*f - 32. Let h = 4 + 2. What is l(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*z = -6, 3*z = k + z + 3. Let g(q) = 6*q - 8. Let w be g(k). Let x be 132\/w + (-2)\/10. Solve l - 4*o = -4*l - x, 13 = -2*l - o for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/152889 and 43\/8118.\nAnswer: 917334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*o + 13, 2*j = -j + o + 8. Let i(w) = -2 + 4*w + w**2 + j + 3. What is the units digit of i(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3804427, 7608869, 11413323, 15217789, 19022267?\n\"Answer: 6*x**2 + 3804424*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -200122122001 (base 3) to base 7\nAnswer: -3056254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/14 in -5, -1\/10, -5\/2, 122, -0.5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 + 251. Suppose t*b - 201*b - 15 = 0. Let d be (-2 - (-1 - -8))*(-1)\/5. Is b less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n**3 + 3*n**2 + 2*n - 6. Let u(w) = -w**3 + w**2. Let h(f) = -p(f) + 3*u(f). Give h(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/6)\/(-7) + 88\/132.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 980773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c + 5. Let w(q) = q + 4. Let z(y) = -3*w(y) + 2*x(y). Suppose 0 = 3*h, h = -m - 3*h + 2. Let k be z(m). Solve -2*g + k*g = -4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4037, -16099, -36183, -64289, -100417?\nAnswer: -144567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 61 = -19. Suppose -4*j = j - a. Solve 14 = -2*i + j for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = c + 1, -4*c + 2*d - 3 = -9. Let l(x) = c - 3*x**2 + 2*x**2 + 2*x - 2*x**3 - 7*x**2 + 3*x**3. What are the prime factors of l(8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -147\/4? (a) 4 (b) 0.151 (c) -24\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.994581272 rounded to 2 decimal places?\nAnswer: -21.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33250*g**3 - 3215625*g + 22*g**4 + 4671706*g**2 - 697*g**4 - 5*g**5 - 5345456*g**2 + 37515625 = 0. Calculate g.\nAnswer: -35, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*w + 1585 = 0, 10*n = 11*n + 2*w - 793. What is the first derivative of -838*q**3 - n*q**3 + 224 + q**4 + 1519*q**3 wrt q?\nAnswer: 4*q**3 - 342*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-29)\/1508*-4280 + 8\/(-26). Solve z*g = 68*g - 126 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-10\/13)*h**(1\/59) assuming h is positive.\nAnswer: h**(-577\/767)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.3 minus 87007?\nAnswer: -87080.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -61.835?\nAnswer: -309.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 - 369608872*b - 369608871.\nAnswer: -(b + 1)*(b + 369608871)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1416)\/1239 + (-1 - (-20)\/(-7))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.2, 99 in decreasing order.\nAnswer: 99, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12*41\/492)\/(46\/8).\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 405554383 plus -22?\nAnswer: 405554361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*z + 16*z + 276 = 0. Find the second derivative of -12*g + 59*g + 2*g**2 + z*g + 1789*g**5 - 1759*g**5 + 23*g wrt g.\nAnswer: 600*g**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356899 is divided by 89026?\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/3 bigger than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62506 or -375037\/6?\nAnswer: -375037\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 8*y = -24. Suppose 5*j + 3*p - 63 = 0, -p + 61 = 10*j - 5*j. Let l = j + y. Solve 4*t + 0*a - l = 4*a, 0 = -5*t - a - 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-8) - 0)\/(-23 + (-3 - -25))\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1136 - -34113?\nAnswer: 35250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - -36 - (-9 - -64) - -11.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/3)\/((-6)\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1028140 divided by -5?\nAnswer: -205628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (134\/(-1340))\/((-8)\/(-5)).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z\/(z\/z**(6\/11))))\/z**(-4)*z**(1\/2)*z\/z**(-4\/5) assuming z is positive.\nAnswer: z**(633\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 107*y**2 - 319*y - 722. Let j be n(-104). Which is the fourth biggest value? (a) -13 (b) -3 (c) j (d) 2\/11 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334437521?\nAnswer: 11, 461, 65951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 13. Suppose -d = -8*m + 10. Which is the closest to -1? (a) 2\/5 (b) m (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460366 is divided by 27080?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 - -186. Suppose -o + w = -39, o + 3*o - w - y = 0. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 14*x - 51. Calculate the remainder when 71 is divided by q(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - (-42)\/(-12))\/(3\/(-4)). Let c be ((175\/10)\/7)\/(j\/(-52)). Find the common denominator of 13\/64 and (-471)\/c - (6 + 480\/(-78)).\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -243671101?\nAnswer: 24367110.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 8) in base 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 123 + -124. Let i be 8\/12 + 4\/(-3). What is the closest to i in j, 4, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34\/233 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1055*c + 1050*c + 29 = z, 4*z = 16 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (-2 - (-1 - -2)). Calculate the remainder when 50 is divided by 71\/l + 12\/(-16).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -27732 + 1766?\nAnswer: -25855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/21, -2\/11, -58, 36 in ascending order.\nAnswer: -58, -4\/21, -2\/11, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*s**3 + 39*s**3 - 74*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v + 3*v + 4*v. Let q(i) = 3*i - 4*i + 3*i. Give q(a(m)).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r + 0*r - 5*r**3 + 1 - r + 0*r + 2*r**2. Let q be s(-1). Suppose 4 = q*w - 8. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**5 + 3*m**5 - 9*m**5 + (79*m**4 - 79*m**4 - 54*m**5)*(0 + 0 + 2).\nAnswer: -114*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - u + 1. Let n(o) = o**3 - 6*o**2 + 5*o - 3. Let t be n(5). Let v(i) = -i. Suppose -130*x - 149*x - 2 = -281*x. Give t*v(y) + x*z(y).\nAnswer: -y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224 divided by 1.\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/40*18\/702*-26?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2377 and 1283924665?\nAnswer: 2377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5 - 11 + 6 + 10*u. Let t(n) be the third derivative of 7*n**5\/60 - 42*n**2. Give o(t(d)).\nAnswer: 70*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -150.6 - -150.4. Let j = -0.54 + -1.96. Which is the third smallest value? (a) -4 (b) j (c) -0.4 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 5*a + 65, u - a - 89 = -4*u. Let d = -16 + u. What is the second biggest value in d, -2\/7, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) -2 (c) -3 (d) -8 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 2 + t + 1)*(5*t + 0*t - 2*t)*(2*t - t - 2*t).\nAnswer: -3*t**3 + 24*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22434, 22574, 22714, 22854, 22994, 23134?\nAnswer: 23274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*(20\/(-30) - (-2)\/3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 34*y = 37*y - 376100, 2*y = 7*i - 526509. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 653, 366, 79?\n\"Answer: -287*l + 940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 - (-6 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.71 * -0.0146.\nAnswer: -0.039566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 130953, 261903, 392853, 523803?\n\"Answer: 130950*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 13*o - 16. What is f(12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 179862 > 179865?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-4))\/((-3)\/4). Suppose -16 = z - 5*j, 3*z = -t*z - 4*j + 36. Suppose 0 = -3*o + z*o - 3. Solve -3*r - 9 = o for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 9:12 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1188937260 - -1188937096.9999971. Let h = s + 163. Round h to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-145)\/(-35) - 4\/28. Let i(j) = 18*j - 12. Let r be i(w). Let a(d) = 2*d**2 + d - 3. Let v be a(-3). What is the greatest common divisor of r and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 820*t + 416178*t**5 - 416671*t**5 + 831*t - 160*t wrt t.\nAnswer: -9860*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(-21)*a**(5\/7)*(a\/a**(4\/7)*a)**(-48) assuming a is positive.\nAnswer: a**(-321\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 10*t - 1. Let x be b(11). Solve -n - 4*n - x = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -55, -97, -137, -175, -211, -245, -277?\n\"Answer: a**2 - 45*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10041 and -0.3.\nAnswer: -10041.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1789*t + 643*t - 544*t.\nAnswer: 1888*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7\/102 + -4\/17. Which is the closest to 2? (a) h (b) -0.2 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -5, -44 = 5*f - r - 0*r. Let w = f - -4. List the prime factors of (1 - (-3)\/w)*5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 262 * -0.2\nAnswer: -52.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 148\/5 - (-18)\/45 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33823 is divided by 451.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**3\/3 + 458692*b**2\/3 + 458698*b\/3 - 305796 = 0?\nAnswer: -2, 1, 229347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931)*-1 + 0 + 5 + sqrt(931)*-1)*2)**2*2.\nAnswer: -1120*sqrt(19) + 29992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91517 (base 10) to base 11.\nAnswer: 62838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -36, -198, -650, -1542, -3024, -5246, -8358?\n\"Answer: -25*o**3 + 5*o**2 - 2*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 0)*(-32)\/48. Let j be d\/((-8)\/(1 - -3)). Is 3\/16 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-129)\/430)\/((-78)\/30)\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.02, 0.06, -1\/6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 103*i + 102*i = 14, -5*w = -3*i - 38. Solve 3*b + 5*d - 12 = 0, 2*d - 16 = -w*b + 7*d for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.84 + -1.14. Let j be -2 + ((-1)\/(-1) - 2). Let x = j - -5. Put x, 2\/9, w in ascending order.\nAnswer: w, 2\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*r - 5 + 5)*(5 - 3 + 0)*(-4*r + 0*r + r) to the form a*r**2 + s*r + d and give a.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = n + 1, 6*n - 5*o - 3 = 8*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353819616?\nAnswer: 2, 3, 31, 118891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -953 + 78143\/82. Let c = -211\/164 - u. What is the third biggest value in -0.3, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1160*i*x + 482*x wrt i.\nAnswer: 1160*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16860)\/12150 - 1\/81 - 148\/10*2.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89944?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 8*t**3 - 4*t**2 + 5*t - 109. Let x(g) = 10*g**3 - 5*g**2 + 6*g - 109. Determine -6*h(q) + 5*x(q).\nAnswer: 2*q**3 - q**2 + 109","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.5 - -2. Let p(r) = -2*r**3 - 22*r**2 + 30*r + 327. Let s be p(-11). Which is the nearest to -1? (a) -2 (b) k (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4049918058 to the power of 1\/2, to the nearest integer?\nAnswer: 63639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 249 (b) 0.4 (c) 5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 560 and 75950.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mamzmmzzmmmmmmm. What is prob of sequence zz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -36747.7?\nAnswer: -146990.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/147913 and 47\/25724.\nAnswer: 591652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 6:59 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -310 in -46, -0.1, -5, -0.4?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -71.4 - -72. What is the nearest to 2\/5 in -0.2, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256a565 (base 11) in base 16?\nAnswer: 43e7a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 68*a**2 + 252*a - 90. Calculate the lowest common multiple of j(-64) and (-3)\/(3\/2) + 6.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5094*q**3 + 8546*q**2 + 131095388 with respect to q.\nAnswer: 15282*q**2 + 17092*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -370*h**2 + 962*h + 1?\nAnswer: -740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8163545 (base 9) to base 14.\nAnswer: -814304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-2)*(-20)\/12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 8. Let l be d\/(-8) + 76\/16. Let g = 26 + -24. Solve g + l = -2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4b62 + 7?\nAnswer: 4b69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -77 + 287. What is the common denominator of -6 + 9 - w\/81 and -20\/9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence orrw when four letters picked without replacement from {w: 3, o: 4, r: 6}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*sqrt(171) + 0 + (sqrt(1216) - ((sqrt(1216) - (sqrt(1216) + -1 + 0) - sqrt(1216)) + sqrt(1216))**2) + 4*(sqrt(1216) + 0)**2.\nAnswer: 5*sqrt(19) + 4866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*u - 7*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -m**5\/20 - 7*m**4\/24 - m**3 - m**2. Let a be p(-4). Let l = -183\/7 - a. Which is greater: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 380, 1922, 3876, 6242?\nAnswer: 9020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 642948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ak when two letters picked without replacement from {q: 1, k: 2, a: 2, v: 3, m: 1, u: 3}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 5*v. Let c be j(-4). Find the third derivative of 2*k**2 + 317*k**4 - 14*k**2 - 314*k**c wrt k.\nAnswer: 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 2*n**2 + 2. Let g be x(-2). Let m(b) = 2*b + 1. What is the remainder when m(g) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 23. Let b be 3\/(2\/(-8)*k). Solve b*i + 5*f = 25, -3*f - 1 - 8 = -3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70487.79 millilitres in litres?\nAnswer: 70.48779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2013 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*f - 33*f + 26*f + 1062 = 0 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 266265 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 83904 and 782.\nAnswer: 1426368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000013464 rounded to 7 decimal places?\nAnswer: 0.0000135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x**2 - 7. Let o(b) = 11*b**2 - 15. Let z(m) = -13*n(m) + 6*o(m). Let s be 16\/(-4)*(2 + -1). Give z(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 115?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.02, -2\/13, -3, -1872.3, -0.1, 0, 13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 2*n = p - 9, -3*p = -n - 1. Suppose 5*o - n*o - v = 9, 0 = 3*o - 4*v - 18. Let d = o - 4. Which is greater: d or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 9:06 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 8\/7)*-7. Let b = y + 8. Let t(l) = 2*l - 1. Let z be t(1). Solve v = j - 7, b*v + 7 = -j - z for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 - 4*g + 4*g)*(453*g**2 - 272*g**2 + 151*g**2).\nAnswer: -996*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -481*c**2 + 91*c - 91. Let r = 13781 + -13599. Let v(w) = -16*w**2 + 3*w - 3. What is r*v(y) - 6*p(y)?\nAnswer: -26*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-42)*((-2556)\/40 + 63).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yddydydyyd. What is prob of picking 3 y?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x**2 + 101*x + 198. Let v(y) = 3*y**2 + 3. Calculate the remainder when r(35) is divided by v(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 - (3 - 7) - 40\/(-18). Put 7\/5, d, 1 in decreasing order.\nAnswer: 7\/5, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 108*c**2 + 8*c**3 - 49*c**3 + 2 - 105*c**2.\nAnswer: -41*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2698*r**2 - 6977*r**2 + 43 - 41.\nAnswer: -4279*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ap when two letters picked without replacement from appppappppp.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101, 196, 289, 380?\nAnswer: 469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 80*t**3 - t + 1. Let g be w(1). Which is the smallest value? (a) 1\/4 (b) 0.3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/23352 and -85\/3892.\nAnswer: 23352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*u - 13 - 11 = 0, -4*s + 5*u = -85. Let v be -1*(-2)\/3*6. Solve -v*m - s = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 15, w: 3}. Give prob of sequence wiii.\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3130 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 142 (base 16) to base 8\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 13885*s + 30. Let m(c) = 2*c. Calculate h(m(k)).\nAnswer: 27770*k + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-24))\/((256\/(-36))\/(-32)).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20796 and 17?\nAnswer: 353532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -25*l + 27*l + 2 - 13*l**2 - 20*l**2 + 45*l**2 - 15*l**2. Suppose -4 = 2*j - 0. Calculate p(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**5\/60 + i**4\/6 - 5*i**3\/3 - 132*i**2. Give k(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5 and 65 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/79)*j*j)\/(j\/((j**(-1\/4)*j)\/j)) assuming j is positive.\nAnswer: j**(229\/316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -61786 divided by -30893?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 46326415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 38\/(-10) - (-15)\/((-45)\/(-12)). Find i such that 1\/5*i**2 - 1\/5 - f*i**3 + 1\/5*i = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2967507 and 5517?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 42991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001258375 to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1969\/3, 0.4, -5\/4, 2, 1\/3 in increasing order.\nAnswer: -1969\/3, -5\/4, 1\/3, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 96392242 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 70000*o. Let z(l) = 625*l. Give 2*y(a) - 225*z(a).\nAnswer: -625*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11200110 + -11?\nAnswer: -11200121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gn when two letters picked without replacement from {v: 6, n: 5, x: 4, g: 4}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19584862 a multiple of 289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/5 (b) 4\/3 (c) -2\/11 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p**2 - 23*p. Let y be s(-5). Suppose 5*m + y - 10 = 0. Let b(v) be the first derivative of 2*v**4 + 2*v**3\/3 + v**2 + v + 54. Calculate b(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 2*h - 12. Let s be g(5). Solve -6 = s*b - 6*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cvss when four letters picked without replacement from ooccsocovocsocoo?\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/36 and -13\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.012 + 0.588. Sort 1\/3, -0.1, -3, h in decreasing order.\nAnswer: h, 1\/3, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -1\/15*t**5 + 0*t + 0*t**3 + 1\/40*t**6 + 0 + 0*t**4 - t**2. Find the third derivative of u(z) wrt z.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1611438 and 0.1391.\nAnswer: 1611438.1391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-4) + -2 + 0. Let t be (-15)\/(-10)*(-2)\/l. Suppose 2*c - t - 5 = 0. Put 1, c, 2 in ascending order.\nAnswer: 1, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316492010?\nAnswer: 2, 5, 89, 355609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*z + 165 = -52. Solve 5*m + z = 17 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/3*(-12)\/42. Suppose -4*m = -2*f + 20, -7 = -3*f + p*m + 3. Suppose 3*q - 4 - 2 = f. What is the smallest common multiple of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/597 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y - 2. Let i be p(7). Suppose -2*j + 5*d = 29 - 10, -i*j + 20 = d. Let x be 4 + -4 + j\/27. Is -0.2 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 667230 by -111205.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -x - 31. Let u = x - -123. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8470000 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 4:59 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + 17. Suppose 5*f + 2 = -d + 17, -f = d - b. Solve -z + 4*r + 17 = 2*z, 0 = 5*z - 5*r - d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 267*h**3 - h**2 + h - 1. List the prime factors of u(1).\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36243 is divided by 9059.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 6. Let v(a) = 3*a**3 - 3*a**2 + 2*a. Let j(n) = 2*n**3 - n**2 + n. Let r(u) = 5*j(u) - 3*v(u). What is the units digit of r(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -3. Let n be 12\/((6\/(-4))\/r). Find the second derivative of 6*q**4 + 3*q - q - n*q**4 wrt q.\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 3*p**2 + 2*p + 1. Let q be (-216)\/32 + (-2)\/8. Let a = q + 10. What is k(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67229 + 71207.9. What is d rounded to the nearest 100?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**3\/5 - 14*g**2\/5 - 14*g\/5 + 6 = 0.\nAnswer: -5, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/4912056 and 97\/3274704.\nAnswer: 9824112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6761 + 17427 = 643*m + 5965 - 17804 for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 28*v**2 - 56*v + 5488. Let x be f(56). What is x rounded to the nearest 1000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18637 - 18637 - 209*m + (-2*m + 2*m + 2*m)*(-2 + 0 + 3) + m + 4*m - 3*m + 1 - 1 + 2*m.\nAnswer: -203*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22.37 + -23.37. What is the nearest to x in -35, 58, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 - 0.05. Let t = -0.09007 - w. Round t to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2252145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -14*h**3 + 1. Suppose 3*c - 1 + 4 = 0. Is d(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = i - 57, -k + 3*i + 14 = -10. Solve -2*h = h + k for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -1\/2, -5, -0.3, -95, -188?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 301455 (base 7) to base 2.\nAnswer: 1100011100111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11\/3 + -19\/6. Let m = -635.41 + 638. Let r = -0.41 - m. What is the nearest to 0 in r, -1\/3, s?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -146 - -149. Let l = 869 + -868.99. Put r, 4, l in decreasing order.\nAnswer: 4, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -4*n - 5. Suppose r = 3*r + 10. Let p = 0.032 + 0.068. What is the nearest to p in r, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 25*o**2 - 6*o - 49. Calculate the remainder when a(-25) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*t = 53*t - 50 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.041956 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 9:39 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5756028230.\nAnswer: 2, 5, 31, 18567833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 60700 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 = 69*x - 1169 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 65200345 (base 7) in base 13?\nAnswer: 11ca2bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(130) - -2*sqrt(130))\/sqrt(5) - sqrt(26) - sqrt(26))\/sqrt(2))**2.\nAnswer: 4*sqrt(13) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.0309 less than 5?\nAnswer: -57.0309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 481635 divided by -346?\nAnswer: -481635\/346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 4*j - 16. Calculate the remainder when 63 is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-15))\/((-12)\/(-10))*(96 + -51).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -56*j + 173. Let n be p(3). What is the second biggest value in -1\/2, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -155 - -159. Sort 1, 12, a in descending order.\nAnswer: 12, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 4. Let y be s(3). Let g be (-1)\/(((-36)\/90)\/(8\/10)). What is the highest common divisor of g and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wvwvwwiwdwivdwwjwd. What is prob of picking 2 i?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 9*r + 10. Let z be s(-10). Let i be 2 - (3 + z) - -12. Let f = i - -31. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 3*z - 3. Is r(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 565 and 279675.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 31*l**3 + 99*l**2 + 171*l + 64. Let t(u) = 48*u**3 + 148*u**2 + 256*u + 96. Let v(w) = -8*h(w) + 5*t(w). Find s such that v(s) = 0.\nAnswer: -4, -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l. Let i(c) = -3*c**2 - 18*c**2 - 5*c**2 - 14*c**2. Determine a(i(z)).\nAnswer: -40*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 121 + -116. Suppose -v*y = -14*y + 1611. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/90 and -73\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*x**3 - 2)*(-3*x**2 + 3*x**2 - 4*x**2).\nAnswer: -8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(10\/3)*y*y**14)**(-1))**3)**22 assuming y is positive.\nAnswer: y**(-1210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1575)\/84)\/(-5))\/(6\/8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -267.03 (b) -2\/7 (c) -1 (d) -2981\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 435 is divided by 142.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2807793 to the nearest integer?\nAnswer: 1676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-8))\/((40\/(-16))\/5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 7*h - 5)*(-8*h - h + h)*(-3 + 6 - 2) as j + u*h**2 + f*h and give u.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 16*a. Suppose 5*p - 2 - 1 = 4*f, 4*f + 13 = -5*p. Calculate j(p).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 117 (b) -2 (c) -10\/179 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19333*d**4 + 4674375*d - 4674375*d)*(-1 + 1 + d) + 3*d**5 - 5*d**5 + 4*d**5.\nAnswer: 19335*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*k + 138, -3*m - 3*k + 217 = -5. Calculate the greatest common divisor of m and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - i + 3. Let t be y(0). Let f(h) = h**3 - h**2 - 5*h + 3. Let u be f(t). Suppose 0 = 4*n - 2*n. Solve 5*s - u*s - 5 = n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*v = 70*v + 521835. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1408 is divided by 199.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -1 - (4 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 430880294 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**3 - 2*u**2 - 2*u + 3. Let m be q(1). Sort -3, m, 2.\nAnswer: -3, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6900940 rounded to the nearest ten thousand?\nAnswer: -6900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/(-15))\/(68\/(-16)). Are 0 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -134.3 - -127. Let l = -8 - j. Let v = -0.3 + l. Which is the second smallest value? (a) 2\/13 (b) v (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5689?\nAnswer: 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2218 divide 244277212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 7:01 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**2 - 153*h + 15. Let g be o(-51). Solve g*v = -4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-135 - -114 - (9 - 42)) + (-3 - 0) + 59\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 smaller than -1\/6015?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 177, 175, 173, 171, 169?\n\"Answer: -2*h + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5, 5, 3, -1?\n\"Answer: -j**2 + 3*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5960 + -1935. Which is greater: x or 20121\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of a**7\/2520 + a**6\/90 + 11*a**5\/120 + 7*a**4\/6 + 2*a**2 + 21*a. Let f(p) be the second derivative of n(p). Determine f(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5*r = -124 + 204, 0 = -3*g + 13*r - 108. Let p(s) = -10*s**2 - s. Let b be p(-1). Which is smaller: b or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 36, 3, 46, 6 in decreasing order.\nAnswer: 46, 36, 6, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.5947 rounded to 2 decimal places?\nAnswer: 10.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 873 is divided by 97?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 7*d - 5. Let a be u(-6). Let j be ((-6)\/15)\/(a\/(-5)). What is the third derivative of 0*w**4 - 3*w**j + w**2 - 2*w**2 + w**4 wrt w?\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 366 + 3180 = 0. Does 16 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 - -60. Calculate the remainder when o is divided by 15\/10*8\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 17415744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14833 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (119\/85*1\/1)\/(21\/(-1890)*4)\nAnswer: -63\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, u: 1, z: 2, d: 3}. What is prob of sequence eue?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 4*c**2 - 3*c + 3. Let u be a(2). What is the nearest to -1\/2 in -0.2, -1, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**3 + 71 - 7*c**2 - 150 + 80 + 0*c**2 as o + p*c**3 + s*c + j*c**2 and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f - 3 + 6 - f + 2*f as z*f + n and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6*h**2 + h - 2. Let i(a) = -a**2 - a + 1. Let z(j) = 2*i(j) + o(j). Suppose 3*v = 7*v - 3*t - 11, -4*t = 2*v + 22. What is z(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2 - 12 = 0. Let s = 3970.8 + -3971. Sort -2\/27, t, s in increasing order.\nAnswer: s, -2\/27, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -6923?\nAnswer: 2769.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15139043791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 10 = 3*z, -o - 64 + 90 = -4*z. What is the closest to -2\/5 in 5, -0.1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.909595 to three dps.\nAnswer: -0.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x + 3603 = 13*x. Let s = x - 9549\/8. What is the common denominator of 13\/8 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c + 4*c - 13*c to the form k + w*c and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21422 greater than 21422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -z**4\/24 - 7*z**3\/3 + 4*z**2 - 46*z. Let s(d) be the first derivative of w(d). Let r be (-20 - 1)*5\/15. Determine s(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.44 + -0.04. Let i be -2 + -1 + -1 + 1. Sort o, i, -1 in descending order.\nAnswer: o, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**2 + 203*w + 2571. Let v be m(-24). Let p(t) = t - 5. Let u be p(5). Solve 3*d = -z + 6*z + 2, u = v*d - 3*z - 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*v - 4474 - 4826 + 2745 = 0 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x = 10*x - 42. Let i = x + 19. Suppose -3 = 2*w + 1, -3*n + i*w + 85 = 0. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 16. Solve -6 = -3*b + k, -b - f*b - 6 = -5*k for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -3. Suppose -5*d - x = -16. Suppose -4*j - 320 = -36*j. Sort 2, d, j in decreasing order.\nAnswer: j, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1578784454.\nAnswer: 2, 13, 1709, 35531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 7, 18, 23, 16, -9?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of p**5\/20 + p**4\/12 - p**3\/2 - 3*p**2\/2 + 2*p. Let z be b(-2). Let m = -74 - -372\/5. Is z > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 27737 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - y)*(4*y - 5*y - 1 - 5*y).\nAnswer: 6*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -505\/6 + 337\/4. Sort h, 0.02, 1.33.\nAnswer: 0.02, h, 1.33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 25 = -6*t. Solve -3*b = -t*b - 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = j + 3 + 6, -j + 5*r + 11 = 0. Suppose 18*l = 433 - j. Calculate the highest common divisor of l and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (164 - 160) + (-12 - -47)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*w**3 + 173*w**3 + 50*w**3.\nAnswer: 207*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-8 + 5 - -9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/6)\/((55\/270)\/(-11)). Suppose 0 = 2*g - 2*l + p + 13, -6 = -3*l. What is the tens digit of 6\/g*-15 + 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -344*k*u**3 - 1505*k*u**2 + k*u - 4*k - 21*u**5 wrt u.\nAnswer: -2064*k - 1260*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kiibkibbbibiiiibk?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -3. Let k = 532 - 374. Let q = -161 + k. Is q not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v*v**(-16\/3)*v)\/v*v**(-3\/4))\/(v**18\/v*v)**48 assuming v is positive.\nAnswer: v**(-10417\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 9, 1, -8, 3, -2 in increasing order.\nAnswer: -12, -8, -2, 1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19 + 13?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -5. Suppose v = y - 3*g - 15, -3*y - 4*g + 0*g - 20 = 0. Suppose y = -4*h + 32 + 56. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 3*w - 3. Let s be y(5). Determine a so that s - 1 - 2 - 4*a**2 + 0 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/(-5))\/((-10)\/(-52)*-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 43 = 3*n. What is the remainder when n is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.1 + 8. Let z = 5\/61 - 167\/549. Which is the closest to v? (a) 1 (b) -2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 1210857?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/23871 and 41\/693646.\nAnswer: 226822242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 626, 1099, 1884, 2981, 4390?\n\"Answer: 156*i**2 + 5*i + 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/4)\/((-6)\/36). Let m(s) = s**3 + 11*s**2 - 2*s - 5. Let u be m(p). Let g = 1223\/7 - u. What is the biggest value in -3, g, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 5 + 1 + 0 + -20.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111000011 + -101?\nAnswer: -10111001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 6*f - 12. Let h be x(-10). Let r = 32 - h. Let d(n) = n**3 - 4*n**2 - n + 4. Give d(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -53 in 45.9, -0.3, -22\/13?\nAnswer: -22\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*t**6 - 1434874*t**5 - 16389283*t**2?\nAnswer: 240*t**3 - 86092440*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-65 + 111 + 27)*(-7*j - j + 5*j)*(-2 + 0 + 4)*(4*j - j + 2*j) to r + c*j**2 + s*j and give c.\nAnswer: -2190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5453209642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 85*r - 85*r - 8.\nAnswer: -170*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18761 + -40b4?\nAnswer: 1469c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/1296000 and -107\/8750.\nAnswer: 45360000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 193 = 218. What is the greatest common divisor of r and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7796 + 7805. Solve -4*f = -2*n + 20, -f - 6*n + 3*n = -r for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 3 = -3*w + 1, -387*w = 10*x - 388*w + 34 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -255, -235, -193, -123, -19, 125, 315, 557?\n\"Answer: m**3 + 5*m**2 - 2*m - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3939*k + 23998 = -5785*k for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**4\/4 - 73*f**3\/3 + 115*f**2 - 1. Let d be a(-25). Solve 9*z + 20 = d*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000019415 to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 3*z - 3*r, -34 = 4*z + 3*r - 2*r for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 942, 9793, 33836, 80667, 157882, 273077, 433848, 647791?\n\"Answer: 1266*r**3 - 11*r - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + u + 330. What is the remainder when 722 is divided by v(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 5*s - 2. Let k be (8\/(-6))\/(2\/(-6)). Suppose -8 = k*b + w, -b + 2 = b + 2*w. What is p(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 563 = -2*c - 3*s + 549, -2*c + 6*s + 20 = 2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2029955 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000038216 to 6 dps.\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13839 + v**3 - 41522 + 13848 + 13835.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/8 and (4 + -81)*(-3)\/48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -54\/19 (b) -6 (c) 0 (d) 0.5 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/3, -1, -1\/4, -3\/378133, -1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-936)\/40)\/13)\/(((-14)\/(-21))\/((-960)\/(-54)))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.04, -1\/7, -2\/7, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c - 1. Let t(w) = 2*w + 133. What is -3*p(r) - t(r)?\nAnswer: r - 130","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*r + 49 - 13. Find m, given that 4*m**2 - 11*m**r - 2*m**2 + 13*m**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, r: 5, a: 1, t: 3, y: 1}. Give prob of picking 2 r.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -220 + 225. Suppose 0 = 20*m + z*m - 75. Solve 0 = -4*s - 20, 2*s = -m*i - s - 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21734.4 - 21735. Put -19, 2\/11, b, 4, 0.5 in ascending order.\nAnswer: -19, b, 2\/11, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 6*x**2 + 7*x - 5. Let f be r(5). Let d(y) = 2*y**2 + 19*y + 11. Let u = -27 - -18. Let z be d(u). Put f, z, -1 in ascending order.\nAnswer: -1, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 5*x + 11011 + 8874, -2*f = -x - 7954. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + -39. Let l(x) = -3*x**4 - 9*x**3 + 9*x**2 - 9*x. Let k(b) = -8*b**4 - 27*b**3 + 27*b**2 - 26*b. Let p(d) = c*k(d) + 17*l(d). Factor p(g).\nAnswer: -3*g*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 163547775.28 to the nearest 1000.\nAnswer: 163548000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2991 - 2981. Calculate the remainder when 293 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**3 - 3*a**2 - 4*a + 50. Give d(7).\nAnswer: 561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 z when two letters picked without replacement from {m: 2, k: 7, j: 1, z: 6, w: 3}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/460 and 23\/45?\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, 11 in decreasing order.\nAnswer: 11, 9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -576 by -6.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = j + 2, -28 = 3*j + 2*b - 6. Let d(r) = -39*r - 11. Is d(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -381, 2\/9, 0, 3 in ascending order.\nAnswer: -381, 0, 2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 632 a factor of 15532903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 0*1\/(-2). Suppose 2*y - 7 + 3 = 0. Suppose n*l - a - 637 = -y*l, -5*a - 264 = -2*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyyyybyyybbffyyyyyyb. What is prob of sequence ff?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**3 - 2*b**2 - 2*b - 3. Let u be j(-2). Let n = -7 + u. Suppose -n*k = -0*k - 6. Solve -5*v + 15 = -2*w + k*w, 0 = -4*w - 2*v + 24 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74639086?\nAnswer: 2, 37319543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/11 (b) -0.1 (c) 43 (d) -80 (e) -152\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117469 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 91045\/2 - 123183823\/2706. Calculate the common denominator of v and 137\/492.\nAnswer: 5412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20355 = -23*b - 5313. Let z = b - 651. Solve -s - 4*t - 12 = 0, 0 = 6*s - z*s + 4*t + 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34\/3 + 13. Let o = -0.4 + 0.3. Let i = o - -0.6. What is the third biggest value in z, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24726915 and 3330?\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o**2 - 26*o - 15. Calculate t(8).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0)\/((-34 + 8)\/(-13)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 26. Suppose 2*j = 7*j - g. Factor 5*n**2 - 5*n**2 - j - n**3 + 3*n.\nAnswer: -(n - 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1435550 (base 6) to base 12.\nAnswer: -3bbb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1697049 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 5*q - 6. Suppose t - 34 = -3*t - 3*p, -4*p = -4*t + 20. Let r be x(t). Let m = 10 - r. Solve 5*i + m*b - 3 - 5 = 0, 0 = 3*i + 4*b - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -548 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 3*v + 168, -176 = -4*h - 3*v - 47. Let p = -28 + h. Calculate the greatest common divisor of 15 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1073.62 + -1064. Let g = q - 10. Round g to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19543775.62 - 5097\nAnswer: 19538678.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 28*u**2 - u + 9. Suppose -15 = -5*h, -s - h = -3*h + 5. Is r(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5236030 is divided by 1308999.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (196887\/(-15))\/((3\/(-30))\/(7\/14)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36481 (base 9) in base 2?\nAnswer: -101111110000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ahmjqqghmjahjm. Give prob of picking 1 q, 2 h, and 1 j.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00087051752 to five dps.\nAnswer: -0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 175 by 159.\nAnswer: 175\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -349613\/24 - -14573. Calculate the common denominator of s and -19\/50.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 406 = -880. Suppose 0 = -229*f + 1122868 - 154656. Suppose 401 = -y - 4*b - h, -3*b - f = 4*y. What is y rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 517*p**5\/20 + 5*p**4\/24 - 45*p**3 + 479*p**2 + 2. Find the second derivative of t(i) wrt i.\nAnswer: 3102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-95)\/(-20) + -11 + 7. What is the nearest to -0.3 in -5, c, -2, 16?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 5. Calculate l(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045926361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 21\/4. Which is the nearest to -1\/6? (a) p (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 1\/4*f**4 + 0 + 0*f**3 + 0*f**2 - 38*f. Let w(m) = -11*m. Give l(w(p)).\nAnswer: 363*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 41 + 3*q + 2 - 43. Let v(j) = -6*j + 2*j + 4*j + 5*j**2. What is v(f(m))?\nAnswer: 45*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/27 and -26\/89055.\nAnswer: 267165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -11*d + 820. Let x = -202 + d. What is the lowest common multiple of 36 and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -186234 divided by -11\nAnswer: 186234\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.181799 to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 90656240 > 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3054676 - -31?\nAnswer: -3054645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 1155*d - 6. Let f be l(9). Let a = f - 124799\/12. What is the common denominator of a and -21\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*m + 1 - 7*m + 13*m + 2 - 2 + 2*m + 0*m + 2*m - m + (0 - 2 + 0)*(1 - 1 + 2*m) + 0*m - 4*m + 2*m + 2*m + 2*m - 2*m + 0*m + 4*m - 2*m + m - 1 - 3*m - 1.\nAnswer: -5*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 5. What is the tens digit of w(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1\/6 (b) 9.55 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 = -3*r - 2*n + 587, 0 = 3*r - 3*n - 396. What is the remainder when r is divided by 54?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 60*h**2 + 1 - 33*h**2.\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2282608 - -2282433.99672. Let r = l - -174. What is r rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 6*w + 7. Let g be j(-6). Let n be (-7)\/(7\/(-4)) + 6 + -6. Is ((-506)\/n)\/(g\/(-14)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 9:01 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 500488562?\nAnswer: 2, 7, 35749183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -216260666 (base 7) to base 11.\nAnswer: -744286a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -5*k + 5, -4*s - 5*k - 20 = -k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -141890 + 247963. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -3 + (-35)\/(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 2\/3 (b) -3 (c) 5\/4 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15 - -51c2?\nAnswer: 51ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 2)*-4 - (224\/16 - 18). Let r(h) be the first derivative of -1\/16*h**4 + 19 + q*h**2 + 0*h + 0*h**3 - 1\/20*h**5. Let r(m) = 0. What is m?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 69. Does 25 divide 4 - (-4 + z)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2140.718641 + 2.\nAnswer: -2138.718641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/9 and ((930\/25)\/(-3))\/((-162)\/(-45)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 3*a - 13. Let i be g(-6). Suppose 0 = 2*s - 4*s. Suppose -b + i*b - 24 = s. Solve 4 = b*o - 4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-9)\/n)*n*n\/(n\/n**(-2\/11)))**(-6\/13) assuming n is positive.\nAnswer: n**(-60\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -4*b + 4138, 5*b + 2506 + 36 = 3*y. Suppose -3*o + r = 5*r - 102, -2*o = 2*r - 70. What is the remainder when y is divided by o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -550, -4.4, 0.07?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eegexkg. What is prob of sequence gkx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9996 - -16302. List the prime factors of c.\nAnswer: 2, 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + 35. Suppose -3*w + 0*w = 0. Which is greater: j or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/502? (a) 0 (b) -1\/3 (c) -51 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 1 = 4*c - 18, 5*s = 25. Sort 1\/4, 0.4, c, -0.5, -19 in decreasing order.\nAnswer: c, 0.4, 1\/4, -0.5, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1608 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: Suppose -5*x + 14 + 16 = 0. Let y = 4 - x. What is the units digit of (y\/3)\/((-14)\/273)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, n: 2, h: 3, g: 2}. Give prob of sequence ngpg.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 49750\/51229 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o**3 + 3*o**2 + 2*o + 3. Determine q(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4, 219, 826, 2009, 3960?\n\"Answer: 32*c**3 - c - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 - (12\/4 - 112) and 85.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 4, -3*l + u - 89 = 2*u. Let k = 16 + l. Is k at least -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2*i - 3 - 2*i + 76*i**3 + 6*i + 6*i.\nAnswer: 76*i**3 + 12*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 268 and 435312802.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, l: 6, w: 4}. Give prob of sequence mllw.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/(-2))\/(10\/(-5)). Is u - 4 - (-339)\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.49112 rounded to two decimal places?\nAnswer: -8.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 38\/1672 - (-215)\/220\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 490 = 8*p - p. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 18410.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 534736 and 2736.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 97c1?\nAnswer: 97c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 17*r - 4. Let h be w(-17). Let j(n) = 11*n**2 + 6*n + 9. What is the tens digit of j(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -109? (a) 2 (b) -27 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7624, -15244, -22848, -30430, -37984, -45504?\n\"Answer: f**3 + 2*f**2 - 7633*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13, 27, 41?\n\"Answer: 14*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*z**2 - 32*z**2 - 3*z**3 - 4*z**3 + (-2*z - 2 + 2)*(z - z**2 - z).\nAnswer: -5*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 284 = -2*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -216234 divided by 6.\nAnswer: -36039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*b = -1693394, 0 = p + 2*p - 5*b + 1270063. Let c = -552534 + p. Let w = c - -575880. Round w to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 4889815.\nAnswer: -1\/698545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 3*b - 2. Let y be u(-2). Suppose -5*m + 5 = y, 2*m = -d - 3*d + 18. Solve d*h + h = 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, v: 1, m: 1, q: 1}. Give prob of sequence ma.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 10 = 7*h. Suppose -v - 4*d = 10, h*v + 50 = -3*v + 5*d. Calculate the remainder when 2 is divided by (-8)\/32 - v\/8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*b - 322 + 2256 = -158*b - 3141 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -326951610562*u**2 + 93*u - 93*u - 1 + 1 + 326951610560*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -161489 and 3.\nAnswer: -484467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 197*x - 1219. Give i(8).\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 315118932.95 to the nearest 1000000.\nAnswer: 315000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-3)*((104\/49)\/(-2))\/(384\/1344).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15544 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 143551 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7832*w - 7831*w + o = 1, -4*o = -w + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 77679021547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 33*w + 11 - 76*w + 42*w. Calculate b(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of s**6\/36 - 5*s**5\/12 - 40*s**3\/3 + 45. Let p(x) be the third derivative of c(x). What is the second derivative of p(r) wrt r?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kt when two letters picked without replacement from {c: 2, n: 7, x: 1, k: 3, t: 2, q: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*a - 2*a + 120. What is the third smallest value in 5\/4, -0.3, 2\/3, a?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f - 35. Let l be u(-10). Solve l*m - 7 = -2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 296*k**3 - 17*k**2 - 737*k - 17. Let y(b) = -49*b**3 + 3*b**2 + 123*b + 3. Let w(m) = 6*s(m) + 34*y(m). Find the second derivative of w(g) wrt g.\nAnswer: 660*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-2621850)\/(-550))\/(-1 + (-13)\/(-12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 886173968?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2092 - 1633. Calculate the greatest common divisor of j and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 3*k, -c + 5*c + 4*k + 16 = 0. What is the remainder when 68\/(-2 - (c + 2)) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 297, 5, -2, -5, -96, 2 in increasing order.\nAnswer: -96, -5, -2, 2, 5, 297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000074877267 to seven dps.\nAnswer: -0.0000749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17882.78 kilograms in nanograms?\nAnswer: 17882780000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2775)\/(-2220)*((-8)\/66)\/(45\/(-27))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -12. Let c = -8 - m. Suppose 4*f = -0*f - c*w, 0 = 4*f - 3*w - 24. Solve -f*l - 21 = -6 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.3 + 8. Let u = -1.18 + -0.82. Which is the nearest to 0? (a) -4 (b) u (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5*s**2 + 54*s + 54. Determine m(12).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -9094*f**2 - 1 + 18156*f**2 + 1 - 9193*f**2 - 89*f in the form r*f**2 + d + l*f and give r.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -13. Suppose 2*j = 4*c - 24, -r*c + 2*c - 5*j + 44 = 0. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 151450 and 16.\nAnswer: 1211600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 10.9. Let d = g - -2.05. Round d to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002249165 to seven decimal places.\nAnswer: 0.0002249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-16)\/c**(1\/2)*(c*c**(2\/3))**33 assuming c is positive.\nAnswer: c**(77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -h - 321, -2*a + 285 = -h - 7*a. Which is smaller: -304 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14013 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20\/(-32))\/((-3)\/(-9)). Are -1 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4669676 is divided by 291?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(-x + 3 - 3)*(-2 - 1 + 0)*(13 - 17 - 59).\nAnswer: -378*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 15. Let k be u(0). Let l = 20 - k. Solve 2*n - 3*a + l = -2*n, 5*n = 4*a - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/28 - 60\/189?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 5:00 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*q = -41*q + 1386. Let y be (-4)\/(-34) - q\/(-119). Which is bigger: 27\/7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/2 - 104653*h\/2 + 6115356.\nAnswer: (h - 104536)*(h - 117)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/15 - 22*c**2\/3 - 212*c\/15.\nAnswer: -2*c*(c + 2)*(c + 53)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-2*(0 - 8\/4)). Which is smaller: i or 5\/14?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 3, -81, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (504\/(-140))\/(16\/10)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45156 + 45389.61. Let j = 237 - t. Let q = j - 0.39. What is the closest to 0.1 in -0.4, 4\/11, q?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -103.2 + 591.5. Let c = -488 + l. What is the nearest to 1\/2 in -3, c, -2\/5, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z + 3. Let r = 182 + -180. What is b(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 2290?\nAnswer: -3\/2290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z - 4*z - 40. Which is the nearest to -1\/2? (a) -2\/5 (b) 1\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -124, -3, 0 in descending order.\nAnswer: 1, 0, -3, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**2\/2 - 19*p\/2 - 9 = 0.\nAnswer: -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2. Let n(q) = 463*q**2. Calculate i(n(p)).\nAnswer: 214369*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 57440.9 to the nearest 1000.\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vio when three letters picked without replacement from vqovvkivqvq.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 215 - 239 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/378530112 and 67\/222723.\nAnswer: 3406771008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 6*m + 3*m)*(-9*m + 2*m + m) + (-2*m + 4*m - 4*m)*(85 - 187 + 60)*(3 - 2 + 0)*(-5 + 5 + 2*m).\nAnswer: 186*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = 3*f. Let m(j) = 4*j + 0 + f + 5 - 3*j**2 - j**3 - 3. Calculate m(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 8, f: 2}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4*-2*sqrt(80) + 1*sqrt(80) + -3))**2.\nAnswer: 2688*sqrt(5) + 62864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-270)\/4185 - 2311\/(-17081)) + 3\/87.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -466370920, -932741843, -1399112766?\nAnswer: -1865483689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 0, -225, 210, 5 in descending order.\nAnswer: 210, 5, 0, -1, -4, -225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -111935\/6 - -18656. Which is the fifth biggest value? (a) 0.6 (b) s (c) -3 (d) -4 (e) 7\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1222 (base 8) to base 6.\nAnswer: -3014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 7 = -2*f. Let o = f + 4. Solve 0 = o*i + 1 + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 - 3)*(-8*h**2 - 3*h**2 + h**2) + 0*h - 2*h**2 - 3*h + 4*h in the form n + t*h + y*h**2 and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(4*b + 5*b - 5*b)*(-2*b + 3*b - 1 + 13*b).\nAnswer: -112*b**2 + 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 9 - 36*t + 81*t - 56*t in the form v*t + r and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-406)\/348 + 13\/(-3) + 3. What is the closest to -2\/3 in a, 8, 1\/8, 0.2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 248.29566 months?\nAnswer: 2.0691305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.077 and -0.7.\nAnswer: -0.777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6 = -y, -m + y = 4 - 0. Let t = -16 + 7. Let o(v) = -v**2 - 9*v + 3. Let w be o(t). Which is bigger: m or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1451, -2866, -4281, -5696, -7111?\nAnswer: -8526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, s: 1}. What is prob of sequence as?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 321 (base 12) to base 15.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - g**2 - g. Let x be (-3)\/(-1) + -2 + 2. Let r be s(x). What is the highest common divisor of r and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -348 or -366?\nAnswer: -348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ooowoowowowwooaow?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2065 <= -10324\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least 9722?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 10*q - 3. Let c be k(-9). Let r(l) = -l**3 + 5*l**2 + 7*l + 8. Is r(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 548, 531, 494, 431, 336, 203, 26?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dslcrdddlsdlds. What is prob of picking 1 d, 1 s, and 2 l?\nAnswer: 54\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4 + sqrt(153))**2 - (2 + (sqrt(153)*-3)**2).\nAnswer: -1217 - 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2 = 4. Suppose 0*a - f*a - 4*k = -62, 26 = a + 4*k. Calculate the remainder when 175 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*p + 20*p = 0. Is p not equal to -1\/1359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**5 - h**4 + h**3 - 3*h**2 - 2*h + 2. Let g(t) = t**5 + t**4 + t**2 + t - 1. Let c(q) = 6*g(q) + 3*l(q). Factor c(y).\nAnswer: -3*y**2*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 218a281 - 53?\nAnswer: 218a229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-16 - (4 - (14 + -10)))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-44 + 2 - -24)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -84731670\/1153 - -73488. What is the common denominator of -7\/6 and u?\nAnswer: 6918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 50 = 13*m. Solve h + 3*s - m*s - 3 = 0, -8 = -3*h + 2*s for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-14) + 4130\/(-49). Let y = -60 - o. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**23\/(q\/(q\/(q**(-14\/9)*q))) assuming q is positive.\nAnswer: q**(212\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 56393?\nAnswer: -56393.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.469 - -26.981. Let b = c + -27. Let a = -0.05 + b. Sort -0.5, 3\/4, a in decreasing order.\nAnswer: 3\/4, a, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -36*n**2 - n. Let c(f) = -196299*f. Give s(c(w)).\nAnswer: -1387198706436*w**2 + 196299*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 - 33 = 4*z. Suppose -202 = -5*w + 68. Let b = w + 72. What is the highest common factor of b and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352)\/(sqrt(8) + (sqrt(8) - (2*sqrt(88) - sqrt(88) - sqrt(88))\/sqrt(11))))\/((sqrt(64) + (sqrt(64) - (sqrt(64) - 2*sqrt(64))))*-1).\nAnswer: -sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/(-6) + 31 + -26.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1975640 a multiple of 1261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/(z**(-1\/10)*z))\/(z*(z*((z*(z**(-2\/9)*z*z)\/z*z)\/z)\/z)\/z)*z**0*z**(-2\/9))**(-2\/31) assuming z is positive.\nAnswer: z**(-1\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 2\/7, 313.75, -5, -15?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(1*4\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1809076 to the power of 1\/2, to the nearest integer?\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*w + 10*w + 5*j - 16 + 37 - 16, 3*w = -j + 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(2 - (-68)\/(-6)). Let d = c + 36. Solve -d = -4*j + 12 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 3*f + 45, -3*f = -2*f - 1. Suppose -2*z + 0 = -n - 3, -4*n = -5*z + q. Let g be (2\/4)\/(-3 + (-44)\/(-16)). Put z, g, 2 in increasing order.\nAnswer: g, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 968827 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15541357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19736.\nAnswer: 2, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/540 and -149\/684?\nAnswer: 10260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(70\/7*48\/192)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1992 and 1743.\nAnswer: 13944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 765536561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002001318786 to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 264852406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -282, -282, -280, -276, -270, -262, -252?\nAnswer: -240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, d: 2, y: 1, n: 1, r: 2}. What is prob of sequence dnyf?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -63 (c) 3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-1)\/(-6)*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 330, 804, 1426, 2196, 3114?\n\"Answer: 74*r**2 + 252*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*f = -73*f - 22 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -517\/342 + 2\/171. Let d(g) = 3*g**2 - 26*g + 50. Let m be d(5). Sort m, 3, l in decreasing order.\nAnswer: 3, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0.7 (c) -4 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3873522 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 31 = -t. Let v = t - -57. Suppose -w = -3*w + v. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400) - (sqrt(400) - -1*sqrt(400)*4))\/((sqrt(2) + sqrt(6)\/sqrt(12))*-3).\nAnswer: 80*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2 - 3 = 0. Let v be k\/(-2)*(1 + -23). Let x = -4 + v. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-2) + (-14 - -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 - 6*l - 6. Let c be h(-1). Suppose 0 = -3*j - 0*j - 39. Find the common denominator of (j\/6)\/(c\/(-4)) and -24\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and -103.43561839.\nAnswer: -103.53561839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 5\/13*z**3 + 1\/78*z**4 + 0*z**2 + 29 - 2*z. Solve v(m) = 0.\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 20 = -9*f. Let t be 39\/33 + 3\/(2 - 5). Which is the nearest to 2\/5? (a) t (b) -3\/4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 679, 2524, 5543, 9736?\n\"Answer: 587*v**2 + 84*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 283945 equal to 12777508\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 12) in base 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 2\/25, -4\/5, -49\/4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, h: 2, z: 4, j: 1}. Give prob of sequence qzj.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 10 - 9 - 2*t + t**2. Let b be g(-7). Let c = b + -50. What is the remainder when c is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389817 a multiple of 909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 3*u + 2069268, 3*d = 3*u - 8*u - 2069270. Let j be 149756 + (0 - 0 - 1). Let l = j + d. What is l rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -24 (c) 3 (d) 44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 59068 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 + 243*g - 1261. Determine l(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*1\/2*1. Let r(o) = -o - 1. Let s(y) = -5*y + 2. Let f(m) = n*r(m) - s(m). Suppose 117 = 8*a + 45. Let b(i) = -12*i + 17. Calculate a*f(g) + 2*b(g).\nAnswer: 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 5*o, -4*c - 4*o + 7 = -1. Let l(s) = -16*s + 18. Let i be l(c). Sort -4, 1, -2\/21, i.\nAnswer: -4, -2\/21, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4185, 4195, 4219, 4263, 4333, 4435, 4575, 4759?\nAnswer: 4993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35.3 - 41.285. Let f = c - -6. Round f to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + z = -z - 12, -5*v = 4*z - 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 3*z**2 - 2. Let k(w) = 3*w - 16. Let c be k(6). Let x be s(c). Let o = x - -54. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -2*p - 100, 2*p = p + 3*o - 75. Let r be (4172 + -2)\/((-9)\/p). What is r rounded to the nearest one thousand?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b588 - 8b5a?\nAnswer: 272b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjjcfc. Give prob of sequence jc.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and -1252?\nAnswer: -11268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uqqqququ. Give prob of sequence qqq.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 1 + 91*p - 167*p + 78*p. Let y(q) = -6*q - 2. What is 11*g(o) + 4*y(o)?\nAnswer: -2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-129)\/(-774)*472 + (-1)\/(-3)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17.68 - 17.39. Let u = -35.05471 - b. Round u to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32291.\nAnswer: 7, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/8 - (-638517998)\/216. Let l = -346076515399\/117072 + v. Let d = l + 9\/542. Find the common denominator of 101\/8 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-47 + 1 + 0 + 15 + -14 + 5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*k + 27 = -7*k, 3*a - 31 = 5*k. Let w be (-39)\/7 - (-9)\/105*-5. Let s = a - w. Which is bigger: 7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (138\/(-525))\/(8\/(-10)) + (-636)\/1590.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 12 = 0, -4*o + s - 12 = 3*s. Is o\/(-3) + (-1)\/(6\/(-11908)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -116393\/10 - -11630. Let a be (-423)\/66 - -4 - -2. Let g = 536\/33 + a. Calculate the common denominator of u and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -s + 3*n, -5*s + 17*n - 28 = 14*n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (10 + 2 + -5) - -11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = y - 3*z - 2, 5*z = 4*y - 5. Let i be ((-11)\/(-55))\/(-4*(-1)\/(-2)). Is y less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.583058us to nanoseconds.\nAnswer: 4583.058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 142.93783 - -0.11817. Let v = 143 - j. Round v to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 17*g**3 - 1. Let v be q(-1). Sort -3, 3, v in increasing order.\nAnswer: v, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2253080 and 10385?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 848 - 858. Let v(b) = b**3 + 10*b**2 - 27*b - 265. Let q be v(y). Let m be (-10)\/4*-2*1. Solve 2*z - 8 = m*h, -q*z + 0 + 3 = -4*h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 35 = 3*i. Let n = -36 - -36. Suppose 3*c + 27 - 4 = 2*t, t + 5*c - 5 = n. Calculate the lowest common multiple of t and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 211 and 2423546?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -6*j**2 - 123*j - 172. Let p be h(-19). Let v(m) = 16*m**2 - 1. Calculate v(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 266, 291, 340, 419, 534, 691, 896, 1155?\n\"Answer: t**3 + 6*t**2 + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 763299185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009244169 to four dps.\nAnswer: 0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 13. Is 48*(-3 + (-33)\/f) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5589 and 81817857.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3901*f + 3383*f - 3724*f - 4747*f to the form v + o*f and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00012027719 rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of 0 - 1\/3*r**3 - 70*r + 0*r**2. Let m(w) = w + 40. Calculate m(h(q)).\nAnswer: -2*q + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 2649?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-32)\/8*6\/4. Let g be (-1 - 5)*m\/4. Solve -2 = -o + 3*t, -1 = 4*o + 2*t - g for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -627*c**2 - 215 - 344 - 9087*c - 578*c**2 + 9085*c + 172*c**2 wrt c?\nAnswer: -2066","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 3\/7, 382, 0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3071*p**3 + 2739*p**3 + 15787*p**3 + 5952*p**3.\nAnswer: 21407*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 - 40*k - 19 + 73 - 18 in the form j*k + l and give j.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z**3 + 0*z**3 - z**3)*(-5 + 5 + 9)*(4 + 5 + 10)*(-1 + 4 - 1) to the form c*z**2 + y*z**3 + l + b*z and give y.\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*l + 6 = -28*l. List the prime factors of 194 + -2 - (-5 - 4)\/l.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/3278706 and 13\/1719?\nAnswer: 9836118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4290347 rounded to the nearest 100000?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2730)\/663 - 3\/((-51)\/2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43 - (-8487)\/(-98 + 57))*(-2)\/4.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 15*d**3 - 47*d**2 - 16*d**3 + 28*d**3 + 5 to t*d + g + z*d**3 + i*d**2 and give i.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/14 + 44\/(-7). Does 3 divide ((-2)\/y)\/((-11)\/(-198))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/2904 and 25\/1584.\nAnswer: 17424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -472 divided by -118?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131729500?\nAnswer: 2, 5, 7, 61, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.19, -3.1, -0.27, -1, 3\/7 in decreasing order.\nAnswer: 3\/7, -0.19, -0.27, -1, -3.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 151, 5, 1, 2, -1, -2 in ascending order.\nAnswer: -2, -1, 1, 2, 5, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(2\/19)*u*u)\/((u**(-2\/7)\/u)\/u))\/((u**(-1\/5)*u)\/u*u)**(-46))**(2\/93))**(5\/4) assuming u is positive.\nAnswer: u**(13696\/12369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 153360 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: Suppose 8 = -0*w - 2*w. Let o be w\/(-8) + (-238)\/(-4). What is o rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.043 - -0.957. Suppose 2*t + 22 = -8. Let w = t - -76\/5. What is the second biggest value in w, m, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*z - 121*z - 1030 = 4803 + 719 for z.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*s = 43*s + 132 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*u**2 + 1247 - 1247 + 15*u**2 as j*u**2 + b + c*u and give j.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1248 + -1247.999999358. Round p to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 650477101 to the nearest integer?\nAnswer: 25504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 136*o - 256*o + 69*o. Let y(l) = 67*l. Calculate m(y(z)).\nAnswer: -3417*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 14441*v - 158831. Give s(11).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4056 + -0.0024. Let f = r + -0.592. Put -2.21, 0, f in ascending order.\nAnswer: -2.21, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -11, 32, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1190 + -42653\/36. Let s = o - 40\/9. Which is the second biggest value? (a) 0.1 (b) s (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -200 + 333?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3 + 844*i + 437*i + 332*i.\nAnswer: 1613*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(700) + 3 + sqrt(700) - sqrt(700)) + sqrt(700))**2 + 1)*-1.\nAnswer: -2805 - 80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 4:19 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 174 = -23*c. What is the nearest to 1 in c, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - -10 - 2 - 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1103779 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 10:33 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*j + 4273 - 4520 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 8*x**3 + 361*x**2 + 63*x - 382. Determine o(-45).\nAnswer: -1192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y - 5 = 5*p + 6*y, -2*p - 2 = 2*y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, u: 3, s: 1}. Give prob of picking 2 u and 1 s.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7538765 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.05 (b) 2\/13 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 times 0.79?\nAnswer: -15.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 811 + -809. Solve 4*z - a*z = 2*t, -2*z - 4*t + 6 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 5:05 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + 4*t - 1585 + 1609, 8*t + 62 - 6 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**3*j - 303*i**3 - 9*i**2*j - 3*i**2 - 2*i*j + 2*i + 3*j - 11893 wrt i.\nAnswer: 12*i*j - 1818*i - 18*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -h - 5. Let b(s) = 2*s - h*s - s. Let m(w) = 2*w**2. Determine m(b(i)).\nAnswer: 32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = w - 10, 2*a - 2*w + w = 5. Put a, -3, 4, -4 in decreasing order.\nAnswer: a, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*j - j - j)*(4 - 7 - 9) + (-j - 1 + 1)*(-1 + 2 + 0) - 3 + 3 - 5*j.\nAnswer: 102*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*d - 5*i - 2, -5*d - 5*i = 20. Calculate the remainder when (4\/2)\/(d\/(-10)) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -289410.775 rounded to the nearest 100?\nAnswer: -289400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*i + 54*i - 29*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 1\/6*b**3 + 0*b**2 - 9*b + 0. Let f(g) = 5*g. Determine f(w(y)).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/(w**(-9)*w)))*w*w*w**7)\/(w**(-3)\/w**(-4)) assuming w is positive.\nAnswer: w**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27.37002482 - 27.37. Round i to six dps.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6250 - -6451. Which is bigger: b or 191?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -24*v - 3. Give r(2).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 16 + 4 = 0. What is the lowest common multiple of 12 and x?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 19. Suppose -2*j - v + 14 = 0. Let -b - 5\/3*b**2 + 1\/3 + b**j + 4\/3*b**4 = 0. Calculate b.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 10416337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -834 * -0.332357\nAnswer: 277.185738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and (-16240)\/105*(-558)\/24?\nAnswer: 7192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/16*7\/((-147)\/(-28)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 4:43 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.656 rounded to zero decimal places?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.63569 rounded to 2 decimal places?\nAnswer: -1.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eea when three letters picked without replacement from qeeaaaaaqaaaqqaqqqaa.\nAnswer: 11\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13352 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: Sort -1668, -1, 17, 4, -3, -4 in descending order.\nAnswer: 17, 4, -1, -3, -4, -1668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 941 - 938. Solve 2*p - 4*t + 16 = 0, -3*p - o*t + 11 = -1 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4274*t**4 + 17377?\nAnswer: 17096*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 t when two letters picked without replacement from {w: 7, t: 1, d: 6, q: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5613333.9 rounded to the nearest 10000?\nAnswer: 5610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 41 + 37 = 0. Solve -4*d - 8 = -4*o, -o - d - 3 = -i for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**3 + 31*d - 31*d + (3*d - 2*d - 2*d)*(1 - 1 + 2*d**2) - d**3 + 3*d**3 + d**3 - d - 8*d**3 + d.\nAnswer: -10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100703 + 102815 = -66*b for b.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 110 - 169. Let o = -54 - k. Calculate the least common multiple of o and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11031.7 - -11032. Is -866 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 13\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/359, 34891, 4, -1\/6?\nAnswer: -2\/359","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4488 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6706, -24440, -53196, -92974, -143774?\n\"Answer: -5511*n**2 - 1201*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, w: 4, k: 8, h: 2, g: 2}. What is prob of sequence kwgk?\nAnswer: 56\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/((-2)\/18)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -756+97998\nAnswer: 97242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 225 by 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41828150*n**3 + 14050709*n**2.\nAnswer: -250968900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 - (174\/36 - -2). Let n(f) be the second derivative of -5*f - f**2 - b*f**3 + 0 - 1\/12*f**4 - 1\/20*f**5. What is n(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31\/102 - 8\/17. Let h = -0.7 + -0.3. Let p = -7 - -5. Which is the smallest value? (a) p (b) n (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-20))\/((-1)\/2))\/(363\/1210).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-20))\/(396\/108*(-9)\/6)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*n - 7 = 63*n. Let b be n\/14 - (3 + (-376785)\/(-6)). What is b rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -147367, -296912, -446467, -596038, -745631, -895252, -1044907?\n\"Answer: -p**3 + p**2 - 149541*p + 2174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/22142619 or -1?\nAnswer: -2\/22142619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 m when two letters picked without replacement from {z: 2, m: 4, a: 2, v: 11}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(2\/(-10) + 0). Suppose -26*o = -20*o + 102. Let h = o + 20. Solve -k + h*k + 33 = 5*u, f = -5*k + 5*u for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -165, 1, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(0 - -1) - -9. Let u(b) = 15*b**2 - 11*b - 15. Let x(z) = 8*z**2 - 6*z - 8. Calculate y*u(a) - 11*x(a).\nAnswer: 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 + 101121*c**2 - 12894336*c.\nAnswer: -3*c*(c - 33579)*(c - 128)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = 7*d + 130. Let r = d + 34. Is 5 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.5, 80062, -260.\nAnswer: -260, -0.1, 0.5, 80062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 5*n**2 + 2*n - 3. Is b(-6) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 2237 + 3733. Let n = f - 2327\/2. Find the common denominator of 101\/16 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33725 by 95.\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 28611 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 6 + 3*o**2 + 6 - 11209*o.\nAnswer: 3*o**2 - 11209*o + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 40667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-16))\/(6\/4). Suppose -5*d = 8 - 3. Which is the second smallest value? (a) -0.4 (b) d (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2082377331 to the power of 1\/4, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1303321 (base 4) to base 8\nAnswer: -16371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 63d08 + 5?\nAnswer: 63d0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/15)\/(57\/171)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-316)\/26 - 32\/(-208). Let i(j) = j**3 + 11*j**2 - 11*j + 5. What is i(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -9*n**2 + 38*n - 9. Determine w(7).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/254997 or 1?\nAnswer: 2\/254997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 207, 751, 1641, 2883, 4483, 6447?\n\"Answer: o**3 + 167*o**2 + 36*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1\/37, 0.4083, 62 in descending order.\nAnswer: 62, 0.4083, 0.4, -1\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46138669 + 71053547801\/1540. Let b = -8469\/47740 - -28\/155. Let r = b - n. Which is bigger: r or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + -3)*4 - ((sqrt(108) - (sqrt(108)*-1 + sqrt(108))) + 1 - sqrt(108)).\nAnswer: -13 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5609227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -5 + 8*i + 2*i - 7*i - 4*i. Let b be m(-6). Let n be (-6)\/(-12) - b\/2. Solve z + 2*r + r + 20 = n, -2*r = -3*z - 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -94 + -670. Let g = w - -816. Calculate the remainder when 163 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000093246 rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 c when two letters picked without replacement from clcccill.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1263, -1241, -1217, -1191, -1163?\n\"Answer: h**2 + 19*h - 1283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*r**3 + 3*r**3 - 2*r**3)*(2*r - r + 0*r)*(41 + 221 + 122) as h*r**4 + x*r + j*r**3 + u*r**2 + g and give h.\nAnswer: 1536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -4556108 to the nearest ten thousand.\nAnswer: -4560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*w + 24 = -31, 0 = 2*v + 6*w + 54. Let d = -9 - -53. Let x = v + d. Calculate the remainder when 66 is divided by x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**3 + 4*u**2 + 4*u + 3. Determine s(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -39358, -78738, -118114, -157486, -196854, -236218, -275578?\n\"Answer: 2*y**2 - 39386*y + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1403, -2831, -4257, -5681, -7103, -8523?\nAnswer: -9941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(5\/2)*p)\/((p*p**(-6)*p)\/p))**(2\/79))**(-26\/3) assuming p is positive.\nAnswer: p**(-494\/237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2. Let j(y) = -1222*y**2. Give z(j(r)).\nAnswer: 2986568*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 131120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/3)\/l)**(-39)\/((l\/(l\/(l*l**(-1\/3)*l)))\/l**(6\/11)))\/(((l**0*l)\/(l\/(l*l**(-4\/7))*l))\/(l**(-2\/23)*l**(-5))) assuming l is positive.\nAnswer: l**(39121\/5313)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(10) - sqrt(40)))\/((-2*sqrt(60))\/sqrt(5) - sqrt(12)).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**2 + z + 3. Let b be 25*-6*(-3)\/90. Let g(w) = 3*w**2 + 2 - w**2 - w + 2*w. Determine b*g(q) - 3*o(q).\nAnswer: q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -111\/7 + 16. Calculate the common denominator of 53\/5 and t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8106.466 litres to millilitres.\nAnswer: 8106466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (10 - 2)) + (4 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.99 - -4.79. Which is the second biggest value? (a) -0.117 (b) v (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**6\/40 + 103*p**4\/24 + 199*p**3\/6 - 137*p**2 + 2. What is the first derivative of g(k) wrt k?\nAnswer: 9*k**2 + 103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51558 = -40*g + 51958 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1730257 is divided by 13624.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of ((-9)\/6)\/((-5)\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 267 + 2726. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4 - 436*y**3 - 23322*y**2 + 47960*y - 24200.\nAnswer: -2*(y - 1)**2*(y + 110)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(468) - (sqrt(468)*2 + -3) - (sqrt(468) + 0 + sqrt(468) + -4) - (-4 + (sqrt(468) - 4*sqrt(468)*2))))**2.\nAnswer: 624*sqrt(13) + 7657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -44?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0933*15.555.\nAnswer: 1.4512815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*1\/1)\/(36\/36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13675\/2188 - (-4)\/(-16)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n - 14*n + 171583*n**3 + 42*n - 24*n.\nAnswer: 171583*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + (8 - (-5 - 10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 4:21 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 4741.0522 to the nearest one hundred.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 9 - 4)*(-3*x + 3*x + 2*x**2) + (-6 + 6 - 6)*(0*x**2 + 0*x**2 - 3*x**2).\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47703 or 47691?\nAnswer: 47703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 15*k + 18. Suppose 3*m = -2*x - 9, 2*x + 4*m + 4 = -10. Let p(i) = 31*i + 36. Let f(n) = x*p(n) - 5*g(n). Differentiate f(o) wrt o.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 3)\/((-12)\/(-12)). Let s be 5\/45*-3*y. What is the biggest value in -5, s, -129?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103491274 to the power of 1\/2, to the nearest integer?\nAnswer: 10173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7914, 7908, 7902, 7896, 7890?\n\"Answer: -6*c + 7920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n + 73*n**2 - 2*n - 5 + 62*n**2 - 128*n**2 to the form o*n + p*n**2 + g and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -80553b - 3?\nAnswer: -80553e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -11*d + 17*d - 5*d. Let m(g) be the second derivative of g**3\/3 + g. Let x(u) = 6*u. Let t(f) = 8*m(f) - 3*x(f). Calculate b(t(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11475, 23158, 35053, 47166, 59503, 72070, 84873, 97918?\n\"Answer: o**3 + 100*o**2 + 11376*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3)*(y + y + 0*y).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 9b9dc5?\nAnswer: -9b9dc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 2 - (15 + -14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 35241 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x - 16. Suppose 0 = 2*m - 8, u = 2*u + m + 2. Let k be v(u). Is k greater than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 89*v**2 - v - 298*v**2 + 3*v in the form s + n*v + r*v**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w - 27*w**4 + 20*w**4 + 14*w**4 + 3*w**2 + 3*w**2 + 13 - 4*w**2 to a*w + z*w**3 + f*w**2 + p + y*w**4 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 5*g. Let y be i(5). Let d be (4*(y - 1))\/(-2). Suppose -2*m = q - 23, -m - 4*q = d*m - 47. What is the highest common factor of 99 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 17410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/5 of a second?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/4)\/(2\/(-4)). Let b be (-4)\/(16\/(-36)*x). Suppose y = -b*y. Solve 3*z + c - 1 = y, 0 - 10 = -2*z + 4*c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*g - 3 - 2 - 19*g)*(-2 + 2 + 1).\nAnswer: -7*g - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 7*o**2 - 5*o - 8. Let y(f) = f**2 - 14*f - 79. Let k be y(25). Let n = k - 190. Calculate i(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**2\/4 + 88685*i\/4 + 44345\/2 = 0. Calculate i.\nAnswer: -1, 17738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2294.9 - -2295. Which is the closest to k? (a) -0.3 (b) 27 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000357 rounded to seven decimal places?\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113 (base 4) to base 11.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*(v\/(v*v\/(v*v**10)*v))\/v*v)**49 assuming v is positive.\nAnswer: v**539","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -3. Let x = 1489\/855 + 10\/171. Which is bigger: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -13 times -0.1472771\nAnswer: 1.9146023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n + 21. Let g be t(-6). Let k(o) = 4*o**3 + 2*o**2 + 3*o + 3. Let v(r) = 5*r**3 + 2*r**2 + 4*r + 4. What is g*v(a) + 4*k(a)?\nAnswer: a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**2\/k)\/k*k**(1\/4)*(k\/(k**(-1\/4)*k))**(-47)*(k**(1\/6)\/k)\/k**(1\/7)*(k\/(k\/(k**0\/k)))**(24\/13) assuming k is positive.\nAnswer: k**(-3364\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -72*s**3*u*v**3 - 15*s**3*u - 2*s**3*v**2 - 3*s**2*u**2 + 4673*s*u**2*v**3 - 2*s*u**2 - 4*s*u*v - s*v**2 wrt v?\nAnswer: -432*s**3*u + 28038*s*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3089.43 - 3106. Let n = z - 0.43. Let l = -17.0000092 - n. Round l to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -2, -5, 4 in ascending order.\nAnswer: -5, -2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140345 is divided by 557?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + 1.2. Let o be 0\/(-7) + -1 + (-2)\/(-3). Which is the second biggest value? (a) -2 (b) q (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**0)**(2\/51)*x**(5\/3)*x*x**3 assuming x is positive.\nAnswer: x**(97\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -u**3\/3 - 3*u**2 + 15. Let c(t) = -2*t. Determine h(c(g)).\nAnswer: -4*g**2 + 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 842876 divided by 2?\nAnswer: 421438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 1274*b. Let x(n) = -3*n**2. Determine h(x(v)).\nAnswer: -3822*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.3 + -11.6. Let r = 2.58 + h. Round r to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1581085?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6972 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6692338 and 814?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1187.83 times -553?\nAnswer: 656869.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1626 a factor of 6432409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(832)*-1 - sqrt(637)*-1).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1628b5a + -4?\nAnswer: 1628b56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40204217 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (306\/(-12))\/17*(-3)\/228*(-24)\/18\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 5:41 PM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 162890 and 130312?\nAnswer: 651560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7730 + 8264. What is the greatest common factor of 42 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 77\/3803 or 0?\nAnswer: 77\/3803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 24*x - 80. Let m be c(9). Let j = m + -134. Factor 0*d**j + 3*d**3 - 3\/2*d**5 - 3\/2*d + 0 + 0*d**4.\nAnswer: -3*d*(d - 1)**2*(d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*f - 8*f + 15*f)*(0 + 0 - 3*f**3)*((-2 + 4 + 0)*(3 - 4 + 2) - 3 - 1 + 3 + 6 + 8 + 1 + (3 - 2 + 0)*(-5 + 0 + 4) + 2 + 0 + 1).\nAnswer: -864*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 13*d**2 + 2*d + 14. Let i(a) = -a**2 + 1. Let o(r) = -f(r) + 4*i(r). Calculate the remainder when 31 is divided by o(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96387037.\nAnswer: 43, 2241559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72)\/sqrt(6)*4.\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -341239, -342449, -344465, -347287?\n\"Answer: -403*m**2 - m - 340835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3932, 7990, 12210, 16670, 21448?\n\"Answer: 13*g**3 + 3*g**2 + 3958*g - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25803, -50824, -75849, -100878, -125911?\n\"Answer: -2*i**2 - 25015*i - 786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/43215 and 39\/39865.\nAnswer: 5142585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5719 + 2778 - b + 2941.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -777 divided by -10\nAnswer: 777\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a2325c3 + 4?\nAnswer: a2325c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33772, -33742, -33694, -33628, -33544?\nAnswer: -33442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 38345 and -0.1.\nAnswer: 38344.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -y**3\/2 + 12256*y. Let g(d) = -62*d**2 + 4*d. Let z(w) = -63*w**2 + 3*w. Let m(p) = -3*g(p) + 4*z(p). Determine b(m(n)).\nAnswer: 198*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3d160 (base 14) to base 10\nAnswer: 151200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-4)\/w)\/w)\/(w**(-1)*w*w))\/(w**(-1\/5)*w\/((w\/((w\/w**(-7\/5))\/w))\/w)) assuming w is positive.\nAnswer: w**(-46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2149630 divided by -535?\nAnswer: 4018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3013 + -1298. What are the prime factors of w?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1400) - sqrt(1400)*1 - sqrt(14))\/(-1*sqrt(7)*-1).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.2 - 5.7. Put -4, r, 1 in ascending order.\nAnswer: -4, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + i**2 + 2*i**4)*(46*i - 24*i - 82*i + (i - i + 2*i)*(2 + 2 + 4)).\nAnswer: -88*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2. Let o(b) = 1599*b + 117. Let j(g) = 68*g + 5. Let t(a) = -117*j(a) + 5*o(a). Give l(t(r)).\nAnswer: -3042*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 5*x + 2. Suppose 3*s = 2*s - 5. Let m be f(s). Is 82\/2 - (-4)\/m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607090938 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -855?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 3*o + 2. Let w be 8\/(-3 - 1) + o. What are the prime factors of (36 - w - -1) + -2?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1051*j + 12*j**2 - j**2 - 979*j + 3*j**2.\nAnswer: 14*j**2 + 72*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -925*o**4\/12 - 4323*o. Let v(n) = -11*n. Give m(v(w)).\nAnswer: -111925*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 e when four letters picked without replacement from equucsqeuqeueqq?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 284 * -0.3\nAnswer: -85.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1127*o + 420 = 1067*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6981654 * -5.1.\nAnswer: 35606435.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2563067 litres?\nAnswer: 256.3067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 788030 is divided by 133.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211251929?\nAnswer: 7, 30178847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 32 = -2*m, -45*m - 27*m + 3*n = 870 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*k = -152*k - 2937 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.193 + -0.407. Let y = 16\/3 - 6. What is the nearest to i in 6, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x*x**(-5)*x\/(x\/x**3*x))\/((x\/((x\/x**(4\/5))\/x))\/x**(-1\/2)))\/((x**1)**36*(x*(x*x**(-1\/9))\/x*x)\/(x**(-4)\/x)) assuming x is positive.\nAnswer: x**(-4067\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2536*u**5 + 2*u**2 - 26*u wrt u?\nAnswer: 152160*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 90313897*p - 258730148.\nAnswer: 90313897","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*f + 3*a - 1229, -1516 = -5*f + 3*a. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -179*h - 4. Let o(t) = -2*t + 1. Give 6*o(q) + u(q).\nAnswer: -191*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 184\/782*1\/(-2)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 303?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 45010280 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 7*c + 7. Let k be v(6). Suppose 4*m - 15 = k. Suppose 5*r = 15, 2*q = -0*q - m*r + 298. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2000223 plus 5.3?\nAnswer: 2000228.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0387 - 818529813.\nAnswer: -818529812.9613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence la when two letters picked without replacement from dgalp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(3) + sqrt(3)*4 + 1).\nAnswer: -25*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/7)\/j)\/(j*j**6))\/(j**(1\/4)*j**5\/j) assuming j is positive.\nAnswer: j**(-355\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1216.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 45*f**2 - 433*f + 41. Let c be s(-31). Let u(o) = o**2 - 7*o - 42. Determine u(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((6*sqrt(8)\/sqrt(2) + (sqrt(144) - (sqrt(144)*2 + sqrt(144))))\/(4*2*sqrt(2)*-6))**2*-4.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**7\/840 + o**6\/60 + 5*o**4\/24 + 22*o**3\/3 + o**2\/2 - 13*o - 7. Let z(w) be the second derivative of a(w). Calculate z(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 127*o**4*w**3 + 79*o**4 - 227*w**3 - 11 with respect to o.\nAnswer: 508*o**3*w**3 + 316*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -o + 1. Let z(j) = j + 1. What is z(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.1 + 5. Let q = 49 - 34. Let i = q + -15.1. What is the nearest to i in c, 4, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -143597170*n + 85647715?\nAnswer: -143597170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -0*u + 40. Let r be (-1)\/(1 - u\/(-8)). Let v = 18 + -10. Solve -r = -3*m + v for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 6 = 2*o, -w - 3 + 1 = 0. Suppose 0 = 5*h - 5, -o*b + 16 = b + 4*h. Put -1, 0.3, b in increasing order.\nAnswer: -1, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 597383, 597384, 597385, 597386, 597387, 597388?\nAnswer: 597389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**2 - 20404*n - 13619024 = 0.\nAnswer: -9484, -718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -418 = -47*t + 569. Calculate the smallest common multiple of 30 and t.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 5*z - 3. Let c be o(3). What is the first derivative of -8*h**c - 3 + 0 + 4 wrt h?\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 2*h**6\/15 + 3*h**3\/2 + 8*h. What is the second derivative of v(y) wrt y?\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 1, 5, -10 in ascending order.\nAnswer: -10, -5, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 3 - 6)*(0 - 6*h + 0)*(3*h + h - 2*h)*(4 - 2 - 4) as z*h + o + f*h**2 and give f.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**1)\/(u*u**0*u))\/((u\/u**(-2))\/u**(1\/10)))**(-21) assuming u is positive.\nAnswer: u**(609\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 22?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 10 + -4 + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2030112 (base 4) to base 2.\nAnswer: 10001100010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -322*d**5\/15 + 5429*d**2 + 2. Let b(c) = 13*c**2. Calculate b(g(v)).\nAnswer: 21566272*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 293783 - -191651.1?\nAnswer: 485434.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -359423978?\nAnswer: -359423977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -138120 - -0.1?\nAnswer: -138119.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -4 - (-1 + 1 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t + 64. Let o be m(-11). Let j be (-54)\/(-8) - (-1)\/4. Suppose -20 = -j*y + 2*y. Solve -5*q + 35 = -0*b + y*b, 0 = 3*b - 2*q - o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 154*v + 2005. Let f be g(-13). Suppose 3*b + 10 = 2*m, 2*b = m + b - 4. Factor -2\/7*c**f + 0 + 2\/7*c**m + 0*c.\nAnswer: -2*c**2*(c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 12:59 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**2 + 8*x**2 - 2*x**2 + (-3*x + 4*x + x)*(x - x + x) + 1 - 1 + x**2 + x**2 + 4*x + 7*x + 0*x**2.\nAnswer: 14*x**2 + 11*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 2 = 13*x. Solve -f = -2*k - x*f - 5, -15 = -k - 4*f for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(200) + -3 + sqrt(4)\/sqrt(2) + sqrt(2).\nAnswer: -4 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -27 + -2)*(4 - 0). Let x = -140 - m. Let f = -65 - x. Do -40 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 6 - -13 - 10 - 9) + 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20429*b**3 + 43326*b**3 - 63760*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1. Suppose 0 = -i*v + 3*v - 165. What are the prime factors of v?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -254, -2, -6.05, 0 in increasing order.\nAnswer: -254, -6.05, -2, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-700)\/(-3))\/(6\/(-900)). What is o rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 105 = -18*f, 5*f - 4*h + 21 - 34 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263816.\nAnswer: 2, 7, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3981.839ml?\nAnswer: 3.981839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 507397668?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - 4*r**2 + 2*r**2)*((-1 + 1 + 2*r)*(-4*r - 4*r**2 + 4*r) + 2*r**3 + 0*r**3 - 3*r**3) + (2*r**2 + r**2 - 2*r**2)*(r**3 + 0*r**3 + r**3).\nAnswer: 11*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 11:10 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence guf when three letters picked without replacement from dffdfug?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -57 and -71991.\nAnswer: -72048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3999, 8309, 12619, 16929, 21239, 25549?\nAnswer: 29859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -313.69 - -315. What is x rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17205 = -3*o + 5*u, 4*u = -3*o + 8*o + 28688. Let l = 1263 - o. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3146 and 12207?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -379*h**3\/3 - 452*h**2 + 2193. Find the second derivative of j(x) wrt x.\nAnswer: -758","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 37979089 + 10288713 = -50*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9977 + -9979. Suppose -4*p = p - 215. Put p, d, 1 in decreasing order.\nAnswer: p, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 7. Suppose 0*q - 3*s - 12 = 3*q, s - 3 = g. List the prime factors of ((-12)\/14)\/(1\/q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 10*l - 2. Let g be x(2). Let t be g\/(-15)*(-165)\/6. Let d = t + 21. Is 28 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 2:04 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 38. Let i(f) = f**3 + 6*f**2 + 5*f - 3. Let l be i(-4). Suppose -3*a = 3*n - 4*n - r, 5*n = -2*a - l. Solve a = 3*u - 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -31c04f3 - 4?\nAnswer: -31c04f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-3) + (-3)\/(-9). Let v be (2\/6 - 1)\/(-26 - -24). Factor -v*y**3 + 0*y**r + 0*y + 0.\nAnswer: -y**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 72 and 89 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 83.591349127?\nAnswer: 85.591349127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((-4 + -3*sqrt(208))**2 - sqrt(208) - sqrt(208)) + sqrt(208) - sqrt(208) - sqrt(208)).\nAnswer: 84*sqrt(13) + 1884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 447938519.\nAnswer: 7, 2377, 26921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnr when three letters picked without replacement from nnrnrrnnnrrnr?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 217293*d**4 + 160115?\nAnswer: 869172*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 39. Suppose -9*d + 4*d = -55. What is the remainder when h is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 4 - b**2 - 4)*(-11 + 12 - 20).\nAnswer: 19*b**2 - 57*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-5))\/(10\/(-125)*5)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73 + 76. Let m = 3.2 + -3. Which is the nearest to o? (a) m (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00118257961 to five dps.\nAnswer: -0.00118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*u = 6 + 8, 3*d = -2*u + 10. Let t = 6 - d. Let o(z) = t*z - 5 + 5. Let h(s) = -2*s**2. Determine h(o(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5876 + -5874. Let u(i) = -8*i**2 + 7*i - 2. Give u(z).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 178\/(-2*(-3 + 2)). Let b(s) = -s**3 - 44*s - 7*s**2 + y*s - 51*s + 1. Give b(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3856*y**3 - 3434*y**3 - 420*y**3 + 68*y**2.\nAnswer: 2*y**3 + 68*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/2506 and -67\/4668678.\nAnswer: 4668678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 8*x**2 - 3*x. Let b be j(2). Suppose -23 = 4*r + 25. Let z = b + r. Solve -4 = -u + 3*h, -z = -5*u + 4*h - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((-1*sqrt(4212) + sqrt(4212))**2 - sqrt(4212)))*6.\nAnswer: -108*sqrt(13) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16973985*b**3*y - 90*b**2*y - 2*b*y - 3*b - 352*y - 12 wrt b.\nAnswer: 101843910*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 718689040 divided by 856?\nAnswer: 839590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -127.93 - -125. Let t = x + -0.07. Sort -2, 0.5, t in decreasing order.\nAnswer: 0.5, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 239, 231, 219, 203, 183, 159, 131?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 63 = -22*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5059099607?\nAnswer: 3793, 1333799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 943*i**3*p*r - 38*i**3*p - 139*i**3*r - 2*i**3 - 2*i**2*p*r - 6*i*r - 499128*p wrt i?\nAnswer: 5658*p*r - 228*p - 834*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -937, -941, -947, -955, -965?\nAnswer: -977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1170443?\nAnswer: 1170443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 522055 - -12?\nAnswer: 522067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(-10)*n))\/n)**(-33)*((n\/n**(-1\/4))\/n)\/n*n\/(n*n*n*n\/(n\/(n\/(n\/((n**(24\/7)*n)\/n))*n*n*n))) assuming n is positive.\nAnswer: n**(-7649\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y - 5*y + 26*y**2 - 2*y**3 + 0*y**3 - 71*y**2 - 28*y**2 to the form k*y**2 + n*y + u*y**3 + t and give k.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13391812 and 47827900?\nAnswer: 334795300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -21*o**2 + 24*o - 21. Let y(w) = -5 - 5*w**2 + 6*w + 2*w**2 - 2*w**2. Let f(z) = 4*z - 101. Let h be f(23). Let l(b) = h*y(b) + 2*j(b). Factor l(i).\nAnswer: 3*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -54295.49 * -0.1.\nAnswer: 5429.549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {u: 1, o: 1, s: 2, m: 1, r: 1, h: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 - 7562161022.86\nAnswer: -7562161023.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*g = g + 8, -2*g = 2*h. Suppose 0 = -s, -4*z = -6*z - h*s. Suppose z = 18*t - 16*t - 8. Solve -t*j + 12 = -0*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 2.4. Let w = -1.6 + k. Let p = -4 - w. Which is the closest to -1? (a) 4 (b) -1\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*k - 183*k**3 + 368*k**3 + 41*k + 2 - 181*k**3 + 3 as s*k**2 + v*k + w*k**3 + y and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 3*r - 100 = 0, 126*x - 131*x + 136 = r for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6*1\/2 + 19*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56.251957 + -1.17.\nAnswer: -57.421957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 917\/690 - -1\/230. What is f in 0*f**3 + 4\/3*f**4 + 2\/3*f - 2\/3*f**5 - q*f**2 + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 207, 2, -5, -7, -319 in decreasing order.\nAnswer: 207, 2, -5, -7, -319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 90 + 78. Let k = 39 - 8. Suppose -5*r + k + m = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in nine tenths of a micrometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in 2\/19, -4, -0.4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 87063015 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2, 23, -20, 0.2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 - -1122120010?\nAnswer: 1122112202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58237*w + 9398 = 58098*w - 3390 for w.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - x - 7 = -0*n, 4*n + 5*x - 37 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of i**3\/3 - 7*i**2 + 18*i - 3. Let t be c(13). Suppose -t*n = -4*n - 10. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**4\/4 + 15*f**2 + 10*f. Let r(y) be the first derivative of s(y). Let o(c) = 53*c - 10*c**2 - 53*c. Determine o(r(n)).\nAnswer: -360*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 113 + -111.42. Let m = o - 0.08. Let t = 8.7 - m. Round t to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 261893638 and 13744.\nAnswer: 1718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 j when three letters picked without replacement from pjjjjjjjjpppp?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 5*k - 20, -w + 3 = 2*k - 0. Suppose w*z = 3*i - 22, 0*z - 16 = -4*z. Let x = 15 - i. Let t(d) = 12*d**3 + d. What is t(x)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 387918 and 0.144.\nAnswer: 387918.144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4532472 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -3 - 0)\/((82 - 66) + 51\/(-2)).\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zttcccc. What is prob of picking 2 c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -31?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 0 + 7\/6*g**3 + 0*g + 1\/24*g**5 + 5\/12*g**4 + 5*g**2 - 1\/72*g**6. Let n(m) be the first derivative of q(m). Factor n(t).\nAnswer: -5*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**7\/2520 - u**5\/120 + u**4\/4 + 2*u. Let h(n) be the third derivative of c(n). Factor h(a).\nAnswer: (a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000447778 to seven decimal places.\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + (-3*(sqrt(65)\/sqrt(5) - sqrt(13)))**2)*-2 - ((3*(sqrt(13) + sqrt(52)))**2 - sqrt(65)\/sqrt(5)*6).\nAnswer: -1053 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 5964\nAnswer: -35784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -7, -1\/17, -33, -0.1, -3 in ascending order.\nAnswer: -33, -7, -3, -0.1, -1\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 433249 rounded to the nearest ten thousand?\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20 + 13 - 25)*(-18 + 16 + 5*m - 4) to b + l*m and give l.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*h + 2047 + 1235 = -986 for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 3*l**2 - 2. Let j be w(-3). Let f = -9678 + 9677.9. Which is the second biggest value? (a) 5 (b) f (c) 1 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + p**2 + p - 14. Let w(o) = -9*o**3 + 3*o**2 + 24*o - 82. What is -5*d(s) + w(s)?\nAnswer: -4*s**3 - 2*s**2 + 19*s - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2377604 is divided by 48522.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a + 44*a**2 + 3*a + 4 - 11 + 5 to j + p*a + w*a**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155744896.\nAnswer: 2, 41, 59, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -10. Let z = u - 2. Let l = -1.08 + 0.08. Are z and l non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.00012 + 32.69012. Let g = v - -0.31. Let a = g - 32.9926. Round a to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**2 - 3*x - 3. Suppose -4*y + 2 + 30 = -4*h, 5*y - 34 = 2*h. Let j be -5 - (y + -6 - 8). Calculate k(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42532 = 12896*d - 12210*d for d.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*r - 242727*k + 21 = -242724*k, 0 = -5*r + 2*k + 142 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 3 + 0*c**2 + 2\/3*c**3 + 1\/180*c**6 + 1\/3*c**4 + 1\/15*c**5 + 0*c. Let s(u) be the third derivative of r(u). Factor s(j).\nAnswer: 2*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-38)\/(-10) + (-3)\/(-15). Suppose -3 = -3*b, 2*n + 3*b = l*n + 33. Let t be (-20)\/n + 2\/3. Which is smaller: 4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 693 and 495?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1354, -1394, -1458, -1546, -1658, -1794?\n\"Answer: -12*g**2 - 4*g - 1338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35635363?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0045367 to four dps.\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + (sqrt(5) + 1)**2.\nAnswer: 4 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 589900 divided by 3?\nAnswer: 589900\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5*j = -8985, -2*w - 72*j + 8945 = -75*j. Is 28 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 633776 (base 11) to base 7.\nAnswer: 11425425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -9 (c) -4 (d) -4\/3 (e) 140 (f) -3\/50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14723107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 0.097\nAnswer: -4.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 1279256*g + 3837778. Determine l(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -8573\/19 greater than -452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 170809 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.4 + 12.4. Let o = h + -7. What is the closest to -0.1 in o, -2\/5, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/70*-2 - 1340\/(-840).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 plus 58145067?\nAnswer: 58145133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 19*n**3 - 2*n**2 - 2*n - 1. Determine p(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b = 564 - 507. Find f, given that 3\/4*f**2 - 1\/8*f**b + 0 - 1\/8*f - 2*f**5 - 3*f**4 = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115858*h - 117407*h = 21686 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**2 + 5*l**2 + l**2 + (8*l + 4*l - 3*l)*(-9*l - 9*l + 7*l).\nAnswer: -97*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 10:30 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2020122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -3 - (-189 + 193)) + 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 193*u + 27. Let p be d(12). Suppose -4*z + 3*i + 1880 = 0, 5*z - p = -4*i + 6*i. List the prime factors of z.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -992117, -991381, -990659, -989957, -989281, -988637?\n\"Answer: -d**3 - d**2 + 746*d - 992861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -642*v + 17360. Give j(27).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 3, x: 3, y: 1, f: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -6.14.\nAnswer: 24.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 264 + -184. Let u = 408\/5 - z. Factor u*c**2 + 8\/5*c - 6\/5*c**3 + 0.\nAnswer: -2*c*(c - 2)*(3*c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65 + 71. Let b(z) = z + 2*z - 10 - g - 2*z. Let d be b(16). Is d equal to -18\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7007806 is divided by 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 215, 3 in descending order.\nAnswer: 215, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/13? (a) 4 (b) -25 (c) -0.5 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (11 - 3) - (-21 + 17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a micrometer in nanometers?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 711\/20 - 2169\/5. Which is greater: p or -397?\nAnswer: -397","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -459, -834, -1275, -1830, -2547, -3474, -4659, -6150?\nAnswer: -7995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 573334 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1111110 (base 2) to base 7\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*j - 91 = 28 - 37. Suppose -x + 4*t + 20 = 0, -4*x - x - 5*t + 25 = 0. Calculate the highest common divisor of j and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 1. Let a(u) = 4*u**2 - 2*u - 4. Let n(t) = -a(t) + 3*x(t). Let g = -1 - -6. Calculate n(g).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 + (8 - -12) + 0 + (1 - 3)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 18*i**2 - 44*i + 196. Let j be y(16). Suppose 0*z + 2*z = 0. Solve z + j = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.071 and -0.24.\nAnswer: 0.25704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 16460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1913020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2592 * -1\nAnswer: -2592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02069391 rounded to three dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -280722, -561447, -842170, -1122891, -1403610, -1684327?\n\"Answer: u**2 - 280728*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -39, -57, -89, -135, -195?\n\"Answer: -7*u**2 + 3*u - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-13))**(-1\/41)*(c**(-9\/2))**(1\/30) assuming c is positive.\nAnswer: c**(137\/820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -k**5\/4 + 65*k**4\/3 + 265*k**3\/6 + 692*k. Factor p(q).\nAnswer: -5*q*(q - 53)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 + (71 - 28) - (-1 + 0 + 8).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.996 + -3.096. Which is the biggest value? (a) r (b) -2\/9 (c) 26 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2197 by 2.\nAnswer: 2197\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -4*z + 12, -2*z - 88*o + 6 = -89*o. Solve 15*t = -5*a + 10*t + 30, t + 6 = z*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169807 is divided by 4994?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 11, i: 6, e: 2}. Give prob of sequence kkei.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 17225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1210 - 636. Let s = o + -390. Suppose s = -16*c - 216. Is -71\/3 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 2:35 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1635874661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/28 and (4\/2)\/(147\/(-81) - -3)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 630503764?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*g - 4*l = -12, -2*l + 6 = 2*g. Suppose 24*u = 58 - 10. Solve g = d + u*s + 1, -3*d - 3*s + 2 = -2*s for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(-225*d**2 + 451*d**2 - 11*d + 3 - 223*d**2).\nAnswer: -6*d**2 + 22*d - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047742831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -4, -5 in descending order.\nAnswer: 4, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 337 - -1189. Suppose -7*l = -p + 189. What are the prime factors of l?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21198\/119 != -177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13072 or 13073?\nAnswer: 13073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 109450.9 grams in milligrams?\nAnswer: 109450900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 4515 and -1755916875.\nAnswer: -1755912360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 44*n**2 + 8 - 10 + 229*n**2.\nAnswer: 185*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 13017610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1118, 1095, 1060, 1019, 978, 943?\n\"Answer: o**3 - 12*o**2 + 6*o + 1123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 87 = 4*b. Let n = b - 23. What is the lowest common multiple of 4 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4000 + 4048. What is the remainder when 527 is divided by r?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/237? (a) -4 (b) 0.2 (c) -3 (d) -2 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence unxn when four letters picked without replacement from {n: 6, h: 1, o: 1, p: 1, x: 1, u: 1}?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, m: 2}. What is prob of picking 2 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-4))\/((-6048)\/(-1728))*((-4)\/(-37))\/2.\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k. Let z(s) = s + 5. Let i be z(-7). Let c = i + 9. Let b(q) = -13*q**2 + 5*q**2 + c*q**2. Determine b(a(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 33\/5 (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -389*n**5\/20 - n**4\/6 - 149*n**2 + 105*n - 2. Find the first derivative of w(m) wrt m.\nAnswer: -1167*m**2 - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -611, 5 in descending order.\nAnswer: 5, -3, -611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 52131 * 0.2\nAnswer: 10426.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*a + 10. Solve -b = a*b + 5*t - 11, 0 = t - 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 22, 2, -44, -110, -190, -278, -368?\n\"Answer: p**3 - 19*p**2 + 30*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1223 - -1685. What is the smallest common multiple of y and 21?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + d. Let i(y) = -266*y**2 + 259*y**2 - 21*y + 17*y. What is i(z) + 5*q(z)?\nAnswer: -2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 388 divided by -19\nAnswer: -388\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 72835 and -0.0705.\nAnswer: 72834.9295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 21*c - 2. Calculate the smallest common multiple of (42\/4)\/((-1)\/(-2)) and b(20).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k = -42*k + 441. What is the common denominator of -38\/49 and (-10)\/49 + 9\/k?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124052492 minus -0.6?\nAnswer: -124052491.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2548 take away -227.8?\nAnswer: -2320.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -14\/41 and 61908 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -1.6. Let w = 0.6 - p. Let n = -0.314 - -0.314. Which is the nearest to n? (a) 5 (b) 2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48 - (17 - 52)) + 25?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q - 7*q = -z + 2, 0 = q - 4*z - 17 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three tenths of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 53.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c**3 + 106423*c + 68285?\nAnswer: -3*c**2 + 106423","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -5*d + 36, 4*d + d = -3*l - 27. Let t = -19 + 29. Let x = t + l. Is 0 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3538, 7071, 10564, 14017, 17430?\nAnswer: 20803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 3:30 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014050116 rounded to 6 dps?\nAnswer: -0.01405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -9*h. Let a(i) = 311359*i. Determine a(v(l)).\nAnswer: -2802231*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 163567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/4 - (4\/(-1))\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*f**5 + 79*f - 79*f - 2*f**5 + 0*f**5 + 4*f**5 + (-f**2 - 1 + 1)*(0*f**3 - f**3 + 2*f**3) + f**5 + 2*f**3 - 2*f**3 + 21*f**5 + 48*f - 48*f.\nAnswer: 46*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24794303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138, -153, -168, -183?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + w - 16 = 0. Let d = w + -2. Find the third derivative of -h**d - h**4 + 4 - 4 wrt h.\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*h - 1318 + 1153 = 0. Suppose -3*i + 5*d + 4 + 17 = 0, -4*d = 2*i + 8. Sort 0, i, -1, h in increasing order.\nAnswer: -1, 0, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192 and 588.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 1950708*d + 64376631.\nAnswer: -3*(d - 650269)*(d + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 (base 10) in base 2?\nAnswer: 11110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1083155, 2166307, 3249455, 4332599, 5415739, 6498875?\nAnswer: 7582007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -5 (b) -0.8 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*g - 11 = 37 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1040322 by 2089.\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, n: 2, q: 1, z: 14}. What is prob of sequence zvn?\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 20685 = -6951. Let x = k - 2923. Suppose 8*c - 3*c = x. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -5.487, -0.3, 0, 1, 0.0397?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -176 divided by 8.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4911840 and 24352.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 77054*o*u**2 - 5566*o*u - u - 5 wrt u.\nAnswer: 154108*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1974683302 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 358244282 and 866?\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -230221011 (base 4) to base 10\nAnswer: -182853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3775\/18 - -1655234\/7893. Calculate the common denominator of g and 43\/20.\nAnswer: 17540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k + 2. Let j(c) = -2*c**2 + 2*c. Let s be j(2). Give z(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 0 + 3\/5*w**5 + 1\/2*w**2 + 8*w + 0*w**3 + 0*w**4. What is the derivative of i(q) wrt q?\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.85? (a) -4 (b) -18 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 749*z**2 + 687 wrt z.\nAnswer: 1498*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9785233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 476224 + -33?\nAnswer: 4761a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 123200 and 147840?\nAnswer: 739200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8553 minus -0.03?\nAnswer: 8553.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -1 - (29 - (7 - -15))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -2*u + g + 472, 4*g - 492 = -2*u. Let y = 319 - 414. Let k = u + y. What is the greatest common factor of k and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u. Let s(z) = 1583*z - 2. What is s(c(t))?\nAnswer: -1583*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 5*u**2 - 9*u - 24. Let m be r(-4). Let a = -19 - -18. Put m, 1, -12, a in decreasing order.\nAnswer: 1, a, m, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/9*5*120\/10. What is the greatest common factor of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.03 (b) -2.1 (c) 377 (d) 4 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2 - 1 + 0. Let w(t) = -t + 9. What is 6*h(a) - w(a)?\nAnswer: a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - sqrt(170)*2)*6*-2 - 3*sqrt(170)*-2*6)\/(((-1*sqrt(360))\/sqrt(12))\/(2*((sqrt(3) - sqrt(48)) + sqrt(3)))).\nAnswer: 192*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -807 (base 11) in base 9?\nAnswer: -1303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 991952 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**2 + 11. Let f(a) = -8*a. Determine f(n(r)).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 62.98 and 0.03.\nAnswer: 1.8894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(((-18)\/28)\/((-510)\/595)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 63*b - 184*b - b**2 + 47*b as y*b + c + v*b**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -407, -912, -1511, -2204, -2991, -3872?\n\"Answer: -47*d**2 - 364*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -3, 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21.9 + -22. Let z = 0.1 + 0.4. Let h be 3\/1*(1 - 2). What is the second smallest value in h, z, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -6*a - 73. Let u(g) = 10*g**3 + 151*g**2 + 156*g + 15. Let m be u(-14). Determine w(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36738983*b - 157 + 157.\nAnswer: -36738983*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 9*q**2. Let f(x) = 348*x. Let t(h) = 35*h. Let u(j) = -2*f(j) + 21*t(j). Give u(b(m)).\nAnswer: 351*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 3*m**2 - 3*m + 4. Suppose 5*q = 5, 16 = 4*g - 4*q - 0. Let k = g - 8. What is c(k)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - x**2 + x + 1. Let s(d) = 2*d**3 + d**2 - 1. Let o = 13838 + -13841. Give o*s(w) - 3*m(w).\nAnswer: -3*w**3 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y**3 - y**2 - 3 + 3)*(3*y + 3 - 3) - 226*y**4 + 57*y**4 - 20*y**4 as s*y + f*y**3 + n + r*y**4 + u*y**2 and give r.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57 + -29. Suppose 2*b + 2*b = q. Let p(o) be the first derivative of 3*o**2\/2 - 4*o - 45. Let u(s) = -4*s + 6. What is b*p(h) + 5*u(h)?\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64295, 128580, 192865, 257150?\nAnswer: 321435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323*k - 248*k - 103*k.\nAnswer: -674*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58\/21 or 3?\nAnswer: 58\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - s - 2)*(14*s - 8*s + 6*s)*(3*s - 3*s - s**2).\nAnswer: 12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6725, 6737, 6749, 6761, 6773, 6785?\nAnswer: 6797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64 + 67. Solve -4*m = -n + 19 - 3, -b*n + 5*m + 27 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 1514?\nAnswer: -1511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 + 7*u - 7. Let s(z) = z**2 + 4*z - 4. Let x(b) = -4*c(b) + 7*s(b). Let a(v) be the third derivative of -7*v**5\/60 - v**2. Give a(x(w)).\nAnswer: -7*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(3\/2))\/i)\/((i**(-13)*i)\/i)*(i\/(i*i\/(i**1*i))*i)**(-20\/3))**(-44) assuming i is positive.\nAnswer: i**(-154\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + p)*(1523*p - 3019*p - 4 + 1538*p) as w*p**2 + g + k*p and give w.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 13 = 5*t, 5*q = 2*t + 5 + 5. Let o be 154\/q + 5\/10. Suppose 5*u - o = 6. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3219*i - 65. Let s(n) = 3219*n + 78. Determine 6*p(h) + 5*s(h).\nAnswer: -3219*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n - 15. What is l(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -5 (c) -13765224 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**3*f\/(((f*f\/f**(2\/7))\/f)\/f)*f**(-3\/5)\/f**(-8) assuming f is positive.\nAnswer: f**(409\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/60 and (-65)\/(-12)*(27\/90)\/1.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64811*w**2 - 5*w + 5127 wrt w?\nAnswer: 129622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2. Let p(n) = n**3 + 3*n**2 - 7*n - 10. Let t be p(-4). Let w be (3\/(-2))\/(-2*t\/8). Let d(y) = 737 - w*y - 737. Determine j(d(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 295.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 19*t**2 - 15*t - 54. Let r be v(18). Let s(w) = -w**2 - w + 460. What is the units digit of s(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1144963?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 117145*a**2 + 158*a + 99.\nAnswer: 234290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 4)*(-1 - v + 1)*(13 + 5 - 8) as i*v + k and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5235*b**4 + 4*b - 147772 wrt b.\nAnswer: 20940*b**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*(sqrt(175) + 0 + sqrt(175))*6*-3 + 0).\nAnswer: -1080*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4383434795.79 - 83191286.79. Let q = -4300243601.00000009 + y. Let u = -92 - q. Round u to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4 = -m - 3, -3*d + 5*m = -19. Let n(l) = l**2 - 19*l + 41. Let y be n(17). Suppose -4*g + y*g = 9. Solve -d*k + g = -0*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 33 = -0*l - 3*l, 0 = 5*f + 2*l - 27. Suppose 2*z - 1 = f. Put z, 1, -1\/3 in decreasing order.\nAnswer: z, 1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 4*b - 4 - 4, 5*b + 15 = 0. Let x be (-11 + -1 + 8 - 6) + 10. Let a(s) = -s**l - 8 - 8*s - s**2 + x*s**2 + s**2. Determine a(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**2 - 2269869 - 118*h + 26*h + 2270277 = 0. What is h?\nAnswer: 6, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3609.085 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**4\/4 - 34*n + 2. Let l(k) = 17*k. What is l(m(p))?\nAnswer: 51*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 81644*b - 351. Is x(2) 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 6269?\nAnswer: 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*m - 1. Suppose -y + 3*y + 2*g = 24, -4*g = -m*y + 24. Let d(n) = -n**2 - 7*n - 3. Calculate the remainder when y is divided by d(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**19)*w*w*w*w)\/w**(-2\/19)*w\/(w**(-10)*w)*w**(-20)\/w assuming w is positive.\nAnswer: w**(-492\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -1342*w - 9177. Determine x(-7).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1080092*q**5 + 29*q - 2287 wrt q.\nAnswer: 21601840*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 - 1333*a**2 + 65432*a - 64100.\nAnswer: (a - 1282)*(a - 50)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve 6319*v - 2527*v - 147888 = 0 for v.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62.8 - 19.2. Let d = 82.51 + b. What is d rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/5*(-51)\/68?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u - 5*u + 4*u - 4*u + 2. Let k be 2\/(-12) + 9\/(270\/(-55)). What is f(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1962 and 53358?\nAnswer: 17448066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -10 (b) 0.12 (c) 2\/11 (d) 9 (e) 1\/6 (f) 49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-2 - (4 + -1)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -1\/6*s**3 - 5*s**2 + 0*s + 1\/24*s**4 - 9. Determine u(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/(-5))\/((-24)\/(-80)). Let d = 4 + o. Let y be d\/3*(-2)\/(-4). Solve 0 = -2*f - 3*g - 0 - 2, -4*f - 3*g = -y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67.9 - 72. Let o = g - -4.049. 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: In base 5, what is -141010214 + -1?\nAnswer: -141010220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 65) + 111 + -181.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 47 - 3*m**2 - 22.\nAnswer: -3*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -3*s - 5*s. Suppose -4*z + 17 = -3*z. What is the remainder when z is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -127 - -163. Calculate the highest common divisor of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, p: 3}. Give prob of picking 2 k and 2 p.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 248658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -14039 at most -14079?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 630840.\nAnswer: 252336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 111 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 4 = -k, 252 - 251 = 4*k - c for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + 4 - 4 - 4 + 4 - b + (-2*b - b + b)*(-3 + 5 + 0) - 2 + 2 - 2*b + 4*b - b - 5*b - 4 + 4 + b + b - b + 2*b + b - 3*b - 2*b.\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 62295220 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1555720801?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i*i\/(i\/i**(2\/7)))*i))**(-8\/3))**(-48) assuming i is positive.\nAnswer: i**(256\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -6*l + 4*l. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -9. Suppose 2*b - 10 = -5*z + b, 2*z - 3*b - 21 = q. Factor z*c - 1 + 7 + 2 - 6*c**2 - 2 - 3*c**3.\nAnswer: -3*(c - 1)*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -48 - 5\/3*s**3 - 2*s + 3\/4*s**4 + 14*s**2. Find the second derivative of l(g) wrt g.\nAnswer: 18*g - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2396*l**4 - 642*l**5 + 2396*l**4 + (-5*l + 0*l + l)*(2*l**4 - l**4 + 0*l**4).\nAnswer: -646*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6184\/1727 + -448\/157. Factor -2\/11*w**4 + p*w - 12\/11*w**2 - 10\/11*w**3 + 16\/11.\nAnswer: -2*(w - 1)*(w + 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 7*s**2 - 2*s + 9. What is the tens digit of j(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 70997484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -23147, -46309, -69485, -92681, -115903?\n\"Answer: -b**3 - b**2 - 23152*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + -1)\/((-13)\/13). Suppose 4*m - 3*j + 20 = 0, -5*m + 0*m + 3*j = 22. Sort m, o, -5 in descending order.\nAnswer: o, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 8. Let b be u(-9). Let k be b - -1 - (-1 - 1). Determine v, given that -2\/3 + 1\/3*v**k + 1\/3*v = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -4. Let a(j) = -4*j**2 - 2*j - 5. Let x(v) = 4*v**2 + 3*v + 6. Let m(c) = q*x(c) - 6*a(c). What is the second derivative of m(r) wrt r?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*a - 1260 = 0, -5*a + a + 2145 = 5*v. Calculate the common denominator of 11\/158 and v\/18*24\/(-80).\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1771519.\nAnswer: 17, 104207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 229, 149, -43, -401, -979, -1831?\n\"Answer: -9*w**3 - 2*w**2 - 11*w + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -8070*b - 42 + 49 + 8058*b + 22 + 57 as j*b + t and give t.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 7*s + 12. Let x = 22 - 22. What is the lowest common multiple of p(x) and 138?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 2*t + 4*t)*(-4*t - t + 3*t)*(19 - 2*t**2 - 19)*(22*t - 6*t + 5*t).\nAnswer: 252*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*o + 32*o - 18648040 = -45*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = n - 8. Suppose 16 = x - n. Suppose x = -4*g - g, 4*g - 369 = -5*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) 230 (c) -63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(162) - (sqrt(162) + sqrt(162)*2)) - (1 + sqrt(162))*-4) + (-3 + 2 + sqrt(162) - (sqrt(162)*2 + -3)**2).\nAnswer: -656 + 135*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.8 - -4.2. Let h = g + -16.86. What is h rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {z: 1, b: 3, a: 1, d: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2970 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 11) to base 2\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83156775?\nAnswer: 3, 5, 13, 17, 29, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 f when three letters picked without replacement from {e: 6, d: 2, f: 2, v: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l + 0*l + 2*l + (5 - 4 - 2)*(4*l - 3*l - 3*l).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jibqd. What is prob of sequence jqb?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 4174946.363 to the nearest one thousand.\nAnswer: 4175000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9485a2 (base 11) to base 16.\nAnswer: -172f1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74277 divided by 9.\nAnswer: 8253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**3*r - 964510*k**3 - 130*k**2*r - 8*k**2 + 2646*k*r wrt k?\nAnswer: -12*r - 5787060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-26)\/2*(2 + -3). Let w(b) = 20*b - 7*b - 6 - 14*b. Let f(y) = -2*y - 13. Let i(c) = g*w(c) - 6*f(c). Let k(l) = 4*l. Give k(i(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*v - 8, 3*v = v + 2*s. Let d(r) = -r**3 - 3*r**2 + 4*r + 1. Let o be d(-4). Let p = o - v. Solve 4*u - 2*m - 18 = p, -u - 2*m = 2*u - 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 854*j*v**3 + 377*v**3 wrt j?\nAnswer: 854*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -33784 * -1.24\nAnswer: 41892.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor j - 1\/5 + 1\/5*j**5 - j**4 + 2*j**3 - 2*j**2.\nAnswer: (j - 1)**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 141*z + 343. Determine i(0).\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 31, 3, -32 in decreasing order.\nAnswer: 31, 3, -10, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64 - 40. Let v = 26.76 - 3.06. Let x = m - v. Which is the smallest value? (a) 2 (b) -2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279113555*j**2 + 158*j**3 - 279113555*j**2 + 81*j**3.\nAnswer: 239*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s - 14. Let l be c(9). Let d be 2 - (3 - (l - 1)). Differentiate 2*g + 0*g - d + 0*g - 2 wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 2*c**3\/3 - c**2\/2 - 15*c + 115. Let s be m(3). Solve s = 3*h + 2 - 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 104 - 413\/4. Which is the smallest value? (a) -1.2 (b) t (c) -2\/3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10370500 and 2370400.\nAnswer: 82964000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ohhuuuohhoguhughg. Give prob of picking 1 g and 3 u.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 5:01 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 3*t + 2. Let y be g(-6). Suppose y = -0*d + 4*d. Suppose v = 3*o + 13, 4*o - d = 3*v + 6*o. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -318*r - 3002 - 225*r + 3002.\nAnswer: -543*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3133508 and 324156.\nAnswer: 9400524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.08 (b) -27 (c) -0.1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1, 38, 109, 220, 377, 586?\n\"Answer: s**3 + 11*s**2 - 3*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -54500942 and -0.4?\nAnswer: 21800376.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6842566 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1061*b + 14322 = 1523*b for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -21394*v - 21403. Calculate x(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 351.099 milliseconds?\nAnswer: 351099000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 8*r**2 - 4*r - 17. Suppose -2*n = -0*n - 14. Let g be i(n). Suppose z = -g*z. Solve l + l = z for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4147 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220 (base 11) to base 10.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 3 + 0 + 0 + -5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7146241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f**(3\/7)\/f)*f)*f**(-3\/10))\/(f**(1\/4)*f*f**(1\/6))*((f**(4\/5)*f)\/(f**4\/f))\/(f**1\/(f\/f**(2\/21))) assuming f is positive.\nAnswer: f**(-55\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 2*f**3\/3 + 2*f**2 - f - 2. Suppose -l = 3*l - 84. Suppose 3*j = 5*b - j + 23, 0 = 5*b - 3*j + l. Calculate x(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4884 and 116772?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 120688 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 0, -15, -38, -69, -108, -155?\n\"Answer: -4*h**2 - 3*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6782, -3, 3, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 2*j**2 - j + 2. Let l be v(-2). Let m(o) = -o**2 + 5*o. Let h be m(l). Suppose 3*n = -2*y + 16, -3*n - h*y = n - 28. Solve -n = u + 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 7:06 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 3555?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - u = 4*u + 80, 60 = -5*u for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) 3 (b) 4624 (c) -4.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 554\/18 - (-8)\/36. Suppose 8*f - 404 = 4*f. Suppose -4*z + 349 = f. What is the greatest common factor of z and g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**30\/(g\/g**(-12\/5)) assuming g is positive.\nAnswer: g**(133\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 180 = 36. Is 8 a factor of 188\/(-6)*(-108)\/r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((120\/(-36))\/(255\/(-119)))\/(1*1\/(-1)).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3588 and -4.32.\nAnswer: -1.550016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -o**5\/60 - 4*o**2. Let b(i) = -55*i. What is h(b(q))?\nAnswer: -3025*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((12 - 5) + -4)*(-20)\/(-6). Let d = t - 4. Calculate the smallest common multiple of d and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -11*i**8\/42 - i**4\/24 + i**3\/6 - 55*i**2. What is the second derivative of p(u) wrt u?\nAnswer: -1760*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 18*h**2 - 41*h - 13. Give v(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 242 and 814?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24*i - 40*i + 24*i)*(2769 - 2769 + 133*i + (2 - 2 - 1)*(-2*i - 2*i + 3*i) + 0 + 0 + i) to z + f*i + l*i**2 and give l.\nAnswer: 1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128474?\nAnswer: 2, 64237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 4*n + 5*d, -20 = -2*n - 3*d + 31. Calculate the greatest common divisor of n and 23193.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l + 0*l - 3*l**3 - 5 - l**2 + 0*l to j*l**2 + p + k*l**3 + i*l and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 1) + (9 - -1). Let f be 6\/t*-1*-126. Let q = f - 51. Is q a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -44? (a) -0.21 (b) -0.1 (c) 4 (d) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 475\/7 + -67. Let p = 0.156 - 0.1. Let l = -1.944 - p. Sort y, -1\/5, l in decreasing order.\nAnswer: y, -1\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 4\/9*s**3 + 2\/9 - 4\/9*s + 0*s**2 - 2\/9*s**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 2*u**7\/105 + u**3\/6 + u**2\/2 - u. Let j(r) be the first derivative of h(r). What is the first derivative of j(l) wrt l?\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-6)*3 + 51\/(-1). Let p be (-2)\/(8\/q) + 0. What is the highest common factor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9469 rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1806130999 to the power of 1\/3, to the nearest integer?\nAnswer: 1218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -169983 or -4589566\/27?\nAnswer: -169983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.02504 - -1.22504. Let p be 2\/(-3)*47\/(-106). Let r = p + 2\/53. Which is the nearest to h? (a) -1 (b) r (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 4*i = -4*y - 35, -2*y + 4*i + 10 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-226)\/7 - 2\/(-7). Let g be ((-2)\/(-4))\/(2\/p). Let a(r) = -4*r - 2. Let h be a(g). What is the greatest common factor of 15 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a*a\/(a*a**7*a*a)))\/a)\/a**(-3))\/((a\/((a**(-10)*a)\/a))\/a**(-16)))**(-2\/7) assuming a is positive.\nAnswer: a**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*b + 4*b - 9 + 9 - 9*b.\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 5*v + 2. Suppose -46*u - 32 = 60. What is n(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 61750245?\nAnswer: 61750246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 17*d**2. Let p(s) = -1773*s + 3569*s + 189 - 1795*s. Calculate p(h(a)).\nAnswer: 17*a**2 + 189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 10:55 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007688343 to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8986824 and 18216.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*z - 9628 - 97115 - 45955 = -1834*z for z.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdqd when four letters picked without replacement from dtbdbqdqpqq?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 713, 714, 715, 716, 717, 718?\n\"Answer: w + 712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001016471 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -129\nAnswer: -25.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + (-4309)\/5)\/(30\/(-50)). Let n = -1426 + g. What is the common denominator of -45\/53 and n?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 6*f - 2. Let i be n(-6). Let t be 4 + 0 + (-2)\/i. Suppose 3 = -2*k + t*k, 2 = y - 2*k. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**3\/5 - 6078*m**2\/5 - 658593*m\/5 + 1341522\/5 = 0.\nAnswer: -1911, -117, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -170.051 from 0.9.\nAnswer: 170.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 7:26 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -226*l + 110*l + 75*l**2 + 118*l to x + f*l + j*l**2 and give j.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396746 a multiple of 381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -22 + (44\/165)\/((-6)\/(-81)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/((14\/78)\/(-1)). Is c smaller than -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*q*y**2 - 341988*q + 5208*y**3 with respect to y.\nAnswer: -24*q*y + 15624*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 646 divide 538764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3797, -2\/13, 0.5, -5, 39 in increasing order.\nAnswer: -5, -2\/13, 2\/3797, 0.5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/7 (b) -3\/4 (c) -3.9 (d) -5 (e) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 886070?\nAnswer: 2, 5, 88607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (160\/140)\/(184\/14)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/6, -6 in decreasing order.\nAnswer: 1\/6, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 98, 699, 2322, 5477, 10674?\n\"Answer: 85*c**3 + c**2 + 3*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y**2. Let k(o) = -56*o**2. Let x(q) = -68*b(q) + 6*k(q). Let g(u) = -6*u + 2 - 2 + 8*u. Calculate g(x(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 315491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -140.87864 - 16561029.12136. Let b = s - -16561170.7699897. Let k = -0.77 + b. What is k rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 2889.\nAnswer: 2889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -37372.71 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 76 - ((-10 + 9 - 9) + 16 - -7)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0705397 rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 627987.1 centuries?\nAnswer: 6279871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + 10122212200?\nAnswer: 10122212223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, r: 6, u: 2}. What is prob of sequence iu?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1081*f + 96 wrt f.\nAnswer: -1081","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54752 is divided by 169.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 681.1837g?\nAnswer: 681183700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4653, -18550, -41713, -74142, -115837, -166798?\n\"Answer: -4633*c**2 + 2*c - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -207171558.84000077 - -207171674.84. Let x = -116 + m. What is x rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 37*r - 33. Let n be p(-36). What is the highest common factor of n and 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 26*s**3 - 6234*s**2 + 609960*s - 152095. Let b(d) = 28*d**3 - 6232*d**2 + 609960*d - 152094. Let z(y) = 5*b(y) - 6*p(y). Let z(w) = 0. Calculate w.\nAnswer: 1\/4, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g + 5. Let n(q) = -q. Let m be n(-3). Let y be f(m). Does 14 divide (-165)\/(-12) - y\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 593080 is divided by 3802?\nAnswer: 3770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o - 6. Suppose -6 - 2 = -4*g - 2*t, 5*g - 10 = t. Let f be d(g). Solve 12 = 4*x + 2*r, x + r + f = 1 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 3:49 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9038116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 2*u + 11 = 0, 2*z - 5*u + 16 = 3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 18. Let w = 24 + f. Calculate the remainder when 18 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.104 from 403525419345.\nAnswer: 403525419345.104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 1\/7 (c) -3 (d) -12 (e) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*sqrt(72).\nAnswer: 2 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 754 - 748. Solve 3*h - l = -15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1442*y + 0 + 0 + 1441*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/155, -2\/3, -3\/35 in ascending order.\nAnswer: -2\/3, -3\/35, -1\/155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7*u**2 - u + 4. Determine m(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3278, -3285, -3292, -3299?\n\"Answer: -7*k - 3271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 14*k. Suppose k = u + 10 - 29. Let o(m) = 3*m + 4. Let c be o(5). What is the greatest common divisor of c and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y**2 + 2*y - 2*y)*(2*y + y**2 - 2*y) + 7443*y**4 - 16976*y**4 + 6732*y**4 to the form p + o*y + f*y**2 + d*y**4 + t*y**3 and give d.\nAnswer: -2800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -155 - -221. Calculate the greatest common divisor of h and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 90.69 + -90. Let v = r + 0.21. Let t = v + 4.1. What is the smallest value in -3, t, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.1 - -9.82. Let r = -1.27 + x. Round r to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 600576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84 by 218526.\nAnswer: -2\/5203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 19*i + 74. Determine v(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in -22, 3, -3\/7, -5.08?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 9:56 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2945272301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 242, 1045, 2384, 4259, 6670?\n\"Answer: 268*y**2 - y - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 30 = 3*u. Differentiate -73 + 88 + u*y**2 + 0*y**2 wrt y.\nAnswer: 42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2604 + 2601. Is -523 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 3:17 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -17. Suppose -v = -3, -s*v + 39 = c - 5*v. Suppose -20 = -5*n, 0 = -o + 4*o + 3*n - c. Solve d + 5*k = -0*k - o, 2*d - 12 = 2*k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-15*a**3 + 1036*a**2 - 1036*a**2 + (-12 + 12 + 12*a**2)*(-19 - 10*a + 19)).\nAnswer: 135*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 542 a factor of 1807799499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a centimeter?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 282 divided by -1.\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*m + 24430, 4*m + t = 11612 + 12833. Calculate the highest common divisor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 97*r**5\/15 - 31*r**4\/6 - 344*r**2. What is the second derivative of u(z) wrt z?\nAnswer: 776","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + 20 - (-4 + -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65\/585*(-2)\/1.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4993 = 4*o - 2451. Let b = -1208 + o. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46*d*n**3*z + 3*d*n**2*z - 2*d*n*z - 2*d*n + 16*n**2*z - 203*n*z - 2 wrt n?\nAnswer: -276*d*n*z + 6*d*z + 32*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15376993 is divided by 160?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 16, 40, 84, 154, 256, 396, 580?\nAnswer: 814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of d**4\/42 - 2*d**3\/7 + 8*d**2\/7 - 40*d\/21 + 955. Determine m so that b(m) = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 7:46 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 5*i - 15)*(i**3 + 2*i**3 + 0*i**3) - 4*i**4 + 0*i**4 + 2*i**4 + (-2 - 2*i + 2)*(-3 - 4*i**3 + 3).\nAnswer: 21*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 6 - 63*i**3 - 4*i**2 + 2*i + 179*i**3 - 55*i**3 + 0*i**2 - 62*i**3. Give v(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 466 a factor of 3135269317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*a - 2*g = 392*a - 2, -3*a - 26 = -5*g for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -22 + 20 - (-7)\/1. Which is the nearest to 1? (a) 2 (b) 0.017 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/325 and 7\/650.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49288 is divided by 54.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2894933 and 1010437.\nAnswer: 6199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 13*k**2 + 3*k - 2. Suppose 7*u - 20 = 15. Let c(f) = -9*f**2 - 2*f + 1. Calculate u*w(x) + 7*c(x).\nAnswer: 2*x**2 + x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 10:36 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.25 + 0.25. Let q = -2 - -2.8. Let m = q + 0.2. Which is smaller: f or m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -110*v**7\/21 + 271*v**3\/6 + 14*v + 7. Find the second derivative of b(w) wrt w.\nAnswer: -4400*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -25*u**2. Let k(j) = 3*j - 695804. Calculate k(x(d)).\nAnswer: -75*d**2 - 695804","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -25. What is the remainder when 120 is divided by 6\/(-9)*-21 - a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 + (16\/12)\/(1\/(-3)). Is 4 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47\/117 - -8\/117. What is the second biggest value in -5, n, 0.34?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -18, 89, -6 in descending order.\nAnswer: 89, 3, -6, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(4*77\/28). Sort 2\/5, m, 3.1, -1 in increasing order.\nAnswer: -1, m, 2\/5, 3.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 14*l + 30. Let z be r(-12). Calculate the highest common factor of z and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d**2 + 34*d - 16. Determine b(-8).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10095 - -10298. What is the highest common divisor of b and 497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 56\/5. Let i be (-1196)\/828*(-4)\/(-26). What is the second smallest value in d, 6, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.07 + 0.24. Round d to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59760 is divided by 13614.\nAnswer: 5304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3869, -3888, -3895, -3890?\nAnswer: -3873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o + 20 = 4*t + 19*o, o - 10 = -2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -5, -189361, -4 in descending order.\nAnswer: -0.3, -4, -5, -189361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5817*h + 5882*h - 11694*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/(-6960)*-48)\/(1\/(-40)*-212).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*o - 135*o + 440 = -26*o. Solve 3*y - 4*g = -o, -y - 12*g = -14*g + 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 3. Suppose -3*q = -2*x + u, q - 9 = x - 3*x. What are the prime factors of 10 + (3 - q) + -2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -15, 2, -351.7, -18 in descending order.\nAnswer: 2, -0.1, -15, -18, -351.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1767 - -683. List the prime factors of w.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 + 335360*h**2 - 5623316480*h.\nAnswer: -5*h*(h - 33536)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34550.2823 + -34465.2822964. Let r = f - 85. Round r to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**2*v**2*z - 577222*r**2*z**2 + 59*r**2 + 3*r*v**2*z - 2*r*v + 852*r*z**2 - 3*r*z - 2*r + 2*v**2*z**2 + 2*v*z**2 wrt r.\nAnswer: -2*v**2*z - 1154444*z**2 + 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -198 in 3.49, 0.31, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c - 3. 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: Let v be (2\/(4\/4))\/2. Suppose 3 = 2*n - v. Sort -4, 4, n in descending order.\nAnswer: 4, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - g)*(-14 + 1 + 3) + 1 - 1 - 2*g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17\/39 - 10\/13. Let h = -2 - -4. Let m = h - 1. Which is greater: m or b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -1 - 3. Let l be (b - -2)*(-3 + 0). Let t(d) = -2*d - 17. Is t(l) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, o: 8}. What is prob of sequence ooo?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**40*i)\/i*i*i\/i**(4\/9))\/((i\/i**(-3\/5))\/i)**(2\/7) assuming i is positive.\nAnswer: i**(13036\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 101b9 (base 13) to base 16\nAnswer: 70d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/2184)\/((-3)\/21)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 1 (c) -2 (d) -3 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((1 + 0 + sqrt(1088))**2 + sqrt(1088) - -2*(sqrt(1088) + 1)) + -2.\nAnswer: 40*sqrt(17) + 1087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = v + 157018 - 456398, -3*v + 898216 = 4*m. Round v to the nearest 10000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3845265 (base 9) to base 8\nAnswer: -7777271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43155 - 8830 = -5*s. What is s rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1 + 1258*s**5 + 0 - 2182*s**5 + 1 - 985*s wrt s.\nAnswer: -18480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - 2*(sqrt(77) + sqrt(77)*1))\/(sqrt(21)\/sqrt(12)))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -1 (b) 1\/28 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12028 and 2716?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u**5 - 75000*u**4 - 58972305*u**3 + 56255*u**2 + 44247990*u + 14743080 = 0. What is u?\nAnswer: -2628, -1122, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*s + 22*s - 8. What is the remainder when s is divided by (-4)\/(-3) + (-2)\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*q**2 + 159*q**2 - 350*q**2.\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2605, 5211, 7817, 10423, 13029?\n\"Answer: 2606*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/210)\/((-12)\/90)*4\/(-10).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 0)\/((-4)\/4). Suppose f = -x + 3*m + 79, -3*m = 2*x - 6*x + 316. List the prime factors of x.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4276 + -4292. Let t(v) = -2*v**2 - 23*v + 145. What is t(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329614 is divided by 144?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 4*m - 5*o - 8 = 0, 2*o + 10 = 5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66244 - 103352. Let v = w - -37107.912764. Let z = v + 0.087. What is z rounded to five decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14697888, -14697899, -14697912, -14697927, -14697944?\nAnswer: -14697963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u**2 + 3*u + 1. Let x be h(-2). Suppose 4*z + 7 = -9. Let o be (z\/10)\/(1\/x). Solve 2*v + 4 = o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1767*g - 278*g - 149*g.\nAnswer: -2194*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/476576 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zl when two letters picked without replacement from {z: 1, c: 6, n: 1, x: 4, e: 1, l: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cysdx. What is prob of picking 1 x and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -843*z = -3510*z + 809*z + 1072*z + 41658 for z.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, 24, 0.9, -4, -0.08.\nAnswer: -4, -2\/21, -0.08, 0.9, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + (-8)\/2 + 5. Let k = -209 + 194. Let s(z) = 7*z + 107. Let v be s(k). Solve -v = a*p + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (0 + 1) - -7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 256 divided by -32\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**4\/2 + 9. Find w, given that j(w) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**5\/3 + 557*a**4\/3 + 76157*a**3\/3 - 390869*a**2\/3 + 183678*a - 78960 = 0. What is a?\nAnswer: -282, -280, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -71, 388, -0.3, 3, -5 in descending order.\nAnswer: 388, 3, 0.5, -0.3, -5, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10752*x**2 + 5378*x**2 + 5372*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 632.\nAnswer: 3\/316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a - 13*a = 11*a - 38*a + 2*m - 10, -830*a = -826*a - 5*m + 34 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -21*q - 117 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 920?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 7*c + 5. Let l be a(-5). Let u = -3 + 0. Let f = u - l. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-4 - -11) - -12 - (-354)\/(-39)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 - -49. Let z = -12 - c. Put -0.1, 2, z in decreasing order.\nAnswer: 2, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 43*u**2 + 3*u + 5. Let g(s) = 2*s + 1. Determine 10*g(c) - 2*k(c).\nAnswer: -86*c**2 + 14*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 32\/(-80)*509\/2. Let y = d + 101. Sort -2\/7, -4, y in decreasing order.\nAnswer: -2\/7, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.062, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -935, -17, 1, 5, -5 in descending order.\nAnswer: 5, 1, 0, -5, -17, -935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = y - 4. List the prime factors of (-2*1)\/((-2)\/y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/119 + (-6)\/(-70)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l = 6*l + 35. Let u = 18 + -16. Calculate the remainder when l is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 280653967 to the power of 1\/3, to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -124*q**2 + 3*q**4 - q**4 - 2*q**3 + 120*q**2 + 0*q**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1122 (base 4) in base 14?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 424 - 12?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 435*w = -189*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(19) - sqrt(171))**2 + sqrt(114)\/(sqrt(54)\/sqrt(9)) + (-5*2*sqrt(171))\/(sqrt(9) + sqrt(432)\/sqrt(3)) + 0.\nAnswer: -sqrt(19) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -471 + 129 = -3*d - 3*v, 3*v - 460 = -4*d. Let f = -115 + d. Solve -f*u = 2*u - m + 18, 3*u + 21 = 4*m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -37*r. Let n(y) = -22*y**2 + 7. Determine d(n(b)).\nAnswer: 814*b**2 - 259","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -10*c - 2. Determine j(3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3*v - 250, -2*z = 4*v - 439 + 101. Let b be (-176)\/10 - 34\/v. Calculate the common denominator of 586\/(-260) - b\/30 and -87\/16.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4298 is divided by 239.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-9)*(810\/(-150))\/(6\/10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6288396\/3129)\/(((-2)\/(-49))\/1)?\nAnswer: 2, 7, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8418315 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/7151 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1439392, -1439400, -1439410, -1439422, -1439436?\nAnswer: -1439452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79688431.\nAnswer: 79688431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-8)\/(-12)) - 45\/2?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84913, -169849, -254803, -339763, -424717, -509653?\nAnswer: -594559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4000*q - 47991. Give l(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 372 - 372. Let b be f*(-4 + (-8 - -13)). Solve 2*l + 6 = -b*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9649947?\nAnswer: 3, 3216649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 59959 - 2?\nAnswer: 59957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -371, -367, -355, -329, -283, -211, -107, 35?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.41947 + -10\nAnswer: -10.41947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -1, -6.2, 152, -1\/1467?\nAnswer: -1\/1467","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43096560?\nAnswer: 2, 3, 5, 13, 19, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 93, 2, -705 in decreasing order.\nAnswer: 93, 2, -8, -705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1774581 rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/2 + (0 - 4). Let s = 14 - l. Let n be 6\/s - 1744\/(-112). Solve -6*m + n = -2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -825 + 1466. What are the prime factors of g?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*c - 78 = -17*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9178.232 centimeters in kilometers?\nAnswer: 0.09178232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112408 is divided by 55909.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, 0, 7854?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64488 and 1408.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 10*m - 11662. Let q = 3549 - m. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71 (base 10) to base 13\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 41128 = 3347. Suppose -37650 = 5*v - b. Let d = 31901\/7 + v. What is the common denominator of -36\/13 and d?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -95 + 63. Calculate the common denominator of (-380)\/h + -2*2 and -57\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -9*w**2 + 15*w - 2. Let g(n) = 4*n**2 - 7*n + 1. Give -5*g(f) - 2*j(f).\nAnswer: -2*f**2 + 5*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (8 + -28)*-97 + -1.\nAnswer: 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2. Let f(p) be the third derivative of 180*p**2 + 1\/30*p**5 + 19\/8*p**4 + 0*p + 0*p**3 + 0. What is d(f(v))?\nAnswer: 12*v**4 + 684*v**3 + 9747*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 + -51. Suppose 15 = -g*d, -3*c = 2*d + 51 + 19. Let j be (-234)\/(-10) - -2*4\/c. Calculate the greatest common divisor of 23 and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11161 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -443 + -2242?\nAnswer: -3015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 768*x**5 + 629*x**3 - 1891797*x**2?\nAnswer: 46080*x**2 + 3774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46)\/(-115)*(-10)\/(-6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x**2 - 8*x + 10. Let o be p(4). What is the common denominator of 57\/7 and (7 + -5)\/((-8)\/o)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 2:20 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**2 - 6*p - 2. Let k(t) = 5*t**2 + 11*t + 5. Determine 5*j(v) + 2*k(v).\nAnswer: -5*v**2 - 8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 133600008 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1586 and 1261.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 411d2 (base 15) to base 8\nAnswer: 622731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2682 (base 9) in base 11?\nAnswer: -1575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 711311 and 4.\nAnswer: 2845244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6841*k - 67565 = 267644 for k.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 1 + 0 - -1. Let y = -37\/10 - -18\/5. Which is the second biggest value? (a) 4\/7 (b) r (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjlcl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14829 is divided by 412?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/5)\/((-18228)\/(-1085)).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000111110000 - 1001000100100?\nAnswer: 111111001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 81800 divided by 74?\nAnswer: 40900\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 69*v - 69*v - 2*v**2. Let h(a) = a + 2. Let x(m) = -1. Let c(j) = -2*h(j) - 4*x(j). Give c(o(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 115 and 17894?\nAnswer: 89470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 6*g**2 - 5*g + 3. Let d be 2\/((-4)\/10 + 0). Let n be k(d). Let r be 2\/(4\/(-3) - -2). Solve -5*u + n = -l, -u - 4 = r*l + 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8752437 and 368.\nAnswer: 8752805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7631.762 millimeters in meters?\nAnswer: 7.631762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/3*(50\/(-35))\/(18\/(-21)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321532.\nAnswer: 2, 31, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s - 191 = -61. Let b = -7 - -12. What is the least common multiple of s and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177 + 7*l**2 + 178*l - 177.\nAnswer: 7*l**2 + 178*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of s**4\/6 - 3*s. Let o(z) = -2*z**2. What is w(o(h))?\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(360))\/sqrt(12))\/((sqrt(6) - (sqrt(66)\/(sqrt(11)*-2) + sqrt(6))) + sqrt(6) - sqrt(6)))**2 - (5 + (-5*(sqrt(80))**2 - sqrt(80)*5)).\nAnswer: 20*sqrt(5) + 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 351.\nAnswer: 5\/351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5183 is divided by 324?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -831*d + 149698. Give m(180).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 0 + 0 + (-2 + 5 - 1)*(1 - 1 - c))*(-5 - 25 + 3).\nAnswer: 81*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a4 - -1?\nAnswer: -1a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -u + 12*u + 30 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7 and -3488537276232?\nAnswer: 3488537276225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 67, -51, -12, 1, 1\/5, -0.1?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 2:43 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -3, 0, -1, 58, -25 in descending order.\nAnswer: 58, 0, -1, -3, -15, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence db when two letters picked without replacement from dadddaaabdavvvdvv?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 169722840?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 65 = i. Let j = -8 + i. Suppose 2*s = -2 + 4, -3*h + s = -5. Solve h*r = -2*r - 4*q, 0 = -r + j*q - 30 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yykxyxyxykkyy?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -3\/5 (b) -0.2 (c) -3 (d) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 462 and 726.\nAnswer: 5082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 83318572?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5476.335 decades in centuries?\nAnswer: 547.6335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 85327 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 881254 to the power of 1\/2, to the nearest integer?\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.9 and 0.00135.\nAnswer: 2.90135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6368783 days in milliseconds?\nAnswer: 55026285.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -6785*p + 6790*p - 4*t, 0 = 4*p + t + 7 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*c, 2*c + 2*q = 4*c - 16. Sort -2, c, -1, 4 in decreasing order.\nAnswer: c, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 + 318*j**2 + 1964*j + 2640.\nAnswer: -2*(j - 165)*(j + 2)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 22. Suppose 2*y + 8 = -0. Sort u, y, 2 in increasing order.\nAnswer: y, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 21 = 3*c, 0 = -3*c - 6 - 0. Suppose 4*v - 6*f = -4*f + 14, 2*f + 6 = 0. Suppose -v*g = g - 21. Solve 2 = 3*u - x*q - g, -q - 3 = -4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102150912.\nAnswer: 2, 3, 23, 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61.19 + -57. Let j = v - 4.2. Let c = -13 - -8. What is the third biggest value in c, 3\/5, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 78\/(-126)*3\/(-4) and (-35)\/12*(-6)\/(-8)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3380, 6801, 10220, 13637, 17052, 20465?\nAnswer: 23876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2053 and -0.3?\nAnswer: 2052.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2*10)\/4 + 565. Suppose 0 = 3*g - 0*g + 5*o - 1660, i = g + 5*o. Suppose -176 = 2*p - g. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 1 + l**2 - 92*l**3 - 84*l**3 + 177*l**3. Let p(n) = 65*n**3 - n**2 - 2. Let y(h) = 2*a(h) + p(h). Find the third derivative of y(k) wrt k.\nAnswer: 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*4\/24 - 0. Is t less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24200491 not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(560)\/(-1*sqrt(10)) + sqrt(168)\/sqrt(3)*2)\/(3*-2*sqrt(1152)) + 1.\nAnswer: -sqrt(7)\/72 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 12:39 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2586640?\nAnswer: 2, 5, 7, 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 74*t**2 - 1363*t + 91. What is n(-39)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 1230*u - 2. Let h be q(1). Let j = -185 + h. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/55430 and -15\/2017652.\nAnswer: 10088260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -77 not equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45 - 26*k + 18 + 27 to the form y*k + g and give y.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g**4 + g**3 - 4488*g**2 + 6339*g?\nAnswer: -36*g**2 + 6*g - 8976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2 = -38. Suppose y = s - 1. What is the remainder when 26 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -5, 4 in ascending order.\nAnswer: -5, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -617 (base 8) to base 7\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (40\/16)\/((-2)\/4). Let b(d) = d**3 - d**2 - 8*d - 9. Let l be b(c). Is l > -116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) 23 (b) 16\/9 (c) 1.3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 26934949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**3 - 3*l**3 - l**3 + (-4 + 4 + l)*(-2 + 2*l**2 + 2) + 23*l - 10*l**3 - 23*l + (0*l**2 + l**2 + l**2)*(1 - l - 1).\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z + 404. Let u be 4\/(-22) - z\/(-22). Solve a + 2*a = -u for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066778381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3 + 0*n + 2*n**2 + n**3 + 5*n + 1. Let t be g(-3). What is the common denominator of 1 + 1 + 194\/t and 42\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65177880 rounded to the nearest one million?\nAnswer: 65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m + 4. Let k = -26 - -30. Let j(f) = -f**3 + 5*f**2 - 5*f + 3. Let o be j(k). Let w(z) = z + 1. What is o*n(r) + 4*w(r)?\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/3)\/w)**(-15\/7)\/(w\/(w*w**(-2\/5)))**(-22) assuming w is positive.\nAnswer: w**(433\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 q when two letters picked without replacement from qzzzzzzz.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 11:13 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 11:36 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 67 + 15 - 7799*r + 13 + 7824*r. What is k(-5)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3960 and 270.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, -626, 1, 3, -2, -27 in ascending order.\nAnswer: -626, -27, -2, 0, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -32.77, 1\/3, 3\/8, 0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 3:25 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(5\/4)*q*(q*q*q**(-2\/5))\/q)\/(((q\/(((q**8*q)\/q)\/q)*q)\/q)\/q**(1\/10)) assuming q is positive.\nAnswer: q**(179\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 3*k**2 + 2*k - 3. Let j be d(3). Suppose -j*h + 11 + 40 = 0. What is the highest common factor of 17 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 9*f**2 + 8*f + 5. Let g be l(10). Is (-12)\/g + 116\/5 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-2 - 36) - (1411 - 1400).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.217, 14, -0.1, 2\/9, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -9 + -9 + 9 - (4 + 2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*u = 5 - 102 - 8. Suppose -4*m + 20 = -0*m - 2*j, 2*j = -3*m + 8. Solve -d - u = 2*l, -m*l + 7*l = 5*d + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*u - 13, -6*u + 3*u = -5*b + 16. Let o be (u + 1)*(-2)\/6. What is the third derivative of 3*h**o - 2*h**5 + 3*h - 3*h wrt h?\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n - 2. Let d be i(-5). Suppose t = 5 - d. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/45)\/((-26)\/(-585))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 2, -4743 in decreasing order.\nAnswer: 2, -2, -4, -4743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d**2 - 3. Let m(o) = -2*o**3 + 20*o**2 - 14*o - 41. Let u be m(9). Let g(z) = 9*z**2 - 7. Calculate u*s(q) + 2*g(q).\nAnswer: -2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, -2, 334, 5, 456, 2?\nAnswer: 456","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 4 + 1568\/(-266). Let r be (-2*1)\/(-1 - 4). Sort r, 0.3, q, -6.\nAnswer: -6, q, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3 = -3*k, 4 = u - 3*u + 4*k. Factor 2\/3*s**4 + u*s - 4\/3*s**2 + 2\/3 + 0*s**3.\nAnswer: 2*(s - 1)**2*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 16*w - 63. Let s be d(-8). Let o = 315 - 315. Solve s = -h, -3*h - 8 = -o*m + m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*i**2 - 2)*(-28*i**2 - 12*i**2 + 6061 + 38*i**2).\nAnswer: 4*i**4 - 12122*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5 - 0) + 5 - -117) + -3. Suppose -57 = -a + v. What is the greatest common factor of 114 and a?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by 591.\nAnswer: 29\/591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 856704199923.28 - 0.02.\nAnswer: 856704199923.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -17. Suppose 4*i - 35 - 13 = l. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**2 + 67855*y + 67850 = 0.\nAnswer: -13570, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -133938714 to the nearest 100000.\nAnswer: -133900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/720)\/((-9)\/(101 + -11)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - (15 - 7))\/(2\/(-9)). Suppose 4*m - h*m = p - 69, 4*m = p + 48. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: (-6 + -1 + 1)*56898\/(-11772)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v + 30. Suppose -57 = 4*f + 3. Determine b(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -2. Let r be (9 + 44)\/(-4 + 1). Let i = r + 17. What is the second biggest value in w, i, 2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*x + 75*x = -4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 9, -2*g + 8 + 4 = -2*n. Let z be 8\/g*15\/10. Suppose -399 = -4*h + 5*a, -5*a + a = z*h - 444. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(102)\/(sqrt(60)\/(1*sqrt(10)))*4 - (2*sqrt(1377) + -5)*-2))**2.\nAnswer: -800*sqrt(17) + 27300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*a + 0*a + 8*a)*(-13 + 13 - 4*a) + a**2 + 9*a**2 + 0*a**2)*(a + 2*a - 4*a).\nAnswer: 14*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4c37b (base 14) in base 10?\nAnswer: -187289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(325) + (-6*sqrt(325)*4)**2 + (3*(1 + sqrt(325)) + -5)**2.\nAnswer: -55*sqrt(13) + 190133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(81\/45)*15\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 4*b + 4, -14 = 3*p - 5*p - 3*b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**3\/4 + 515*w**2\/2 - 6999*w - 15030 = 0 for w.\nAnswer: -2, 30, 1002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/7, 0.2, -2, 0.1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 16, 19, 22?\n\"Answer: 3*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -20. Let g(o) = o + 4. Let u be g(6). Solve 2*y + 2*w = i, -u - 2 = -4*y + 4*w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 541 and 7?\nAnswer: 3787","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1843 and 9416046.\nAnswer: 9417889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -122225, -124146, -129355, -139496, -156213, -181150?\n\"Answer: -274*h**3 - 3*h - 121948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -44189 and 0.068.\nAnswer: -3004.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + w**2 + w + 9. Suppose -5*n - f + 33 = 0, 0 = 2*n - 2*f + 6*f - 24. Calculate the remainder when l(0) is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -7*q**2. Let h be 28 - (-2 + (0 - -4)). Let f(t) = -9*t - 16*t - 10*t + h*t. What is f(d(v))?\nAnswer: 63*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -73740600 rounded to the nearest one million?\nAnswer: -74000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10328 is divided by 312?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 0*b**5 + 2\/21*b**7 + 0*b**2 + 7*b - 1\/3*b**4 + 0*b**3 + 0*b**6 + 0. What is the third derivative of k(m) wrt m?\nAnswer: 240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r - 7. Let h(y) = -33*y + 71. Let k(g) = -11*g + 23. Let w(f) = 2*h(f) - 7*k(f). Let p(q) = 17*b(q) - 6*w(q). Give p(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -21. Let l(n) = -n**2 - 11*n - 9. Let w be l(s). Let q be 1\/(-1)*w\/(-1). Solve k = -3*k - 12, k = 2*x - q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6}. What is prob of picking 3 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -1 + 5378269*d + 1921732*d + 2. Let f be w(-1). Round f to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139 + 84 + (3 + 6 - -10).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/6)\/(2\/(-30)). Suppose -5 = -5*v + m + u, 4*v - 4*m - 8 = 0. Suppose 5*a - 24 = v*a. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2856 = 3*u + 801*q - 747*q, 0 = 4*u + q + 45 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202001002 (base 3) in base 14?\nAnswer: c6d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -556.1482 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**6\/24 + p**5\/12 + 5*p**4\/24 - 5*p**3\/6 - 22*p**2. Let q(j) = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9 + 0.6. Let n = -3 + 3.1. Let p = n + t. Which is the third smallest value? (a) 2 (b) 3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 5:58 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/1141 and (160\/(-163) + 1)\/((-4)\/((-544)\/(-12))).\nAnswer: 1141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3\/9 - 8*y**2 + 20*y\/3 + 136\/9.\nAnswer: 4*(y - 17)*(y - 2)*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1589, 5193, 11191, 19577, 30345, 43489, 59003?\n\"Answer: -w**3 + 1203*w**2 + 2*w + 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -2. Let p(q) = -2*q - 2. Let w = 14 - 11. Let d(y) = w + 7 - 5 + 5 + 10*y. Determine u*d(t) + 16*p(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 4, -26, -0.3 in descending order.\nAnswer: 4, 1\/5, -0.3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22237?\nAnswer: 37, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 37\/(-5) + 9\/((-45)\/(-2)). Let j(v) = -7*v + 2. Let t(z) = 13*z - 4. Give d*j(r) - 4*t(r).\nAnswer: -3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 544, 4759, 16318, 38905, 76204, 131899?\n\"Answer: 614*w**3 - 12*w**2 - 47*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-224)\/48 + (-2)\/6 + 68\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55388129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 17*z - 37. What is the remainder when 5\/(20\/(-12)) - (-22)\/2 is divided by j(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-387)\/(-1419))\/((-12)\/(-110))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18790295?\nAnswer: 5, 277, 13567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 42\/210 - (-9)\/(-70). Let d = -0.5 - -0.3. What is the nearest to d in 0.5, y, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -8, 4, 8\/75, 49?\nAnswer: 8\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -346\/5 + 7276\/105. Put -1, a, -2\/3, -4\/7 in ascending order.\nAnswer: -1, -2\/3, -4\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2 = 5*l + 3, -5*a - 1 = l. Suppose -2*y + a*z = -4*z - 8, 5*z = 0. Suppose -4 = -4*n + 4. Calculate the lowest common multiple of n and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69 by -5791.\nAnswer: 69\/5791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-136)\/3)\/2)\/(3\/54). Let g = x + 1559. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 1720*p - 62600. Determine a(37).\nAnswer: 1040","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21.781494 months?\nAnswer: 1.8151245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*w - 210, -k + 2*w = 3*w - 51. Let j = k - 50. Solve -2*y + 5*a + 23 = 3, 3*a + 26 = j*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z - 3. Let d be -2*1*(-2 + 1). Let w = d + -3. Let c be 0 + (5 + w)*-2. Let a(b) = -b - 1. Calculate c*a(t) + 3*o(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 2*k - 11. Calculate f(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - -0.3. Let n = 5.2 - 2.2. Let p = n - 8. What is the third smallest value in 2\/3, h, p?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -20 + (22 - -27)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 808 = 608*t + 223*t - 854. Solve b - t*c = -3, 19*b = 23*b - 5*c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/(-6))\/180*-2.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.024 + -543.976. Let b = u + 483.1. Round b to 0 decimal places.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 16 = 5*w, 2*n - 46 = 2*w - 30 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*j + j = -50, -3*j + 6 = 0. Let m = 113 + -115. Let q(f) = 9*f**2 + 5*f + 5. What is the remainder when q(m) is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 834313*g - 834364*g - 2601 = 0 for g.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10442032 (base 7) to base 9.\nAnswer: 1623044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**4 + 3*z**2 - 3*z - 2. Let g(q) = 4*q**4 - 2*q**2 + 2*q + 3. Let u(p) = 2*f(p) + 3*g(p). What is the derivative of u(d) wrt d?\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 24934 and 24929 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yp when two letters picked without replacement from {d: 6, y: 2, p: 1, b: 4}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8366 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**3 + 2*y**2 + 5. Let m(b) = -2*b**3 - b**2 - 4. Give -5*f(a) - 6*m(a).\nAnswer: -3*a**3 - 4*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 2*q + 3. Let h be d(3). Suppose 4*a + a = h. Suppose v + v = a. Is v at least 1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**4\/9 - 88*b**3\/3 + 5152*b**2\/9 - 6272*b\/3 - 175616\/9 = 0. What is b?\nAnswer: -4, 14, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.425 + -0.425148. Round x to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 9) in base 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b - 22. Let t be f(7). Solve -t = 5*c - 18 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 84 * -0.2.\nAnswer: -16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 62\/(-18) - 184\/(-414). Let b(c) = -c**3 - 6*c + 3. Let l(h) = h**3 + 6*h - 2. Calculate z*l(x) - 2*b(x).\nAnswer: -x**3 - 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -307 + 862. Suppose -c + 106 = -5*g - 5, -5*c + d = -5*g. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (0 + -9 + 5 + -5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22734378*l*u**2 + 7*l*u + 1621*u**2 + 118453*u + 2 wrt l.\nAnswer: -22734378*u**2 + 7*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - 11. Let v = w - -19.4. Let a = 0.6 + v. What is the third smallest value in -2\/9, a, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 205*s = -202*s - 1, k + 4*s = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6765 + -6752. What is the biggest value in 10, -0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -653 by 60737.\nAnswer: -653\/60737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/8 + 37*o**2\/8 + 337*o\/4 + 255.\nAnswer: -(o - 51)*(o + 4)*(o + 10)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(171)\/(sqrt(36)\/sqrt(4)) + sqrt(1216) + sqrt(1216)*1 + sqrt(19)))**2*-6.\nAnswer: -36936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 89*q**4\/12 + 4*q - 54. Let r(s) = 8*s**2. Give p(r(w)).\nAnswer: 5696*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t - 4164 + 4164. Let b(f) be the second derivative of -7*f**3\/3 - f. Calculate h(b(z)).\nAnswer: -70*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/(-27))\/(1\/(-33)). Let y = -77\/9 - m. What is the common denominator of 1 + -3 - 2\/(-4) and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b. Let n(x) = 4*x + 6. Let v(y) = -7*y - 10. Let k(m) = -5*n(m) - 3*v(m). Let p(h) = -f(h) + 4*k(h). Let i(q) = -51*q. Determine p(i(t)).\nAnswer: 51*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-170) - 4\/(-10). Let y = 201 + -200.25. Let d = 1.25 + y. Which is the second smallest value? (a) -1\/4 (b) i (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7 - 12741\/2)\/(2\/(-8)). Round y to the nearest 1000.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-279*z - 95*z + 705*z)*(-3*z**2 + 2*z**2 + 3*z**2) to the form t*z + d*z**3 + k + q*z**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -2\/5 (c) -1\/2 (d) -5 (e) 2\/11 (f) 44 (g) 279\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(125) + 3)*2.\nAnswer: -30*sqrt(5) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/312 and -75\/164528.\nAnswer: 493584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/(-4))\/((-2)\/(-4)). Suppose -20 - 17 = -3*p + 4*z, -27 = -2*p + c*z. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4982 - -25. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 20, -4*u - 135 = -6*u + 3*t. Let c = 75 - u. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 23*s - 23*s + 5*s**3 to v*s**2 + w*s + g*s**3 + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/140 and 89\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35884251 to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1000)\/(-1)*16\/(-2208) - 4\/46.\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -4 + -6 + 6 + 6 + -53 + 144.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + l**2 - 5*l + 2. Suppose -3*b = -4*d - 3 + 6, 0 = 3*b + 4*d - 21. Let x be r(b). Let t = -7 - x. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16967.2671us to days.\nAnswer: 0.00000019638040625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -158 - -170. What is the least common multiple of t and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*v - 0*v. Let y be 3*(24\/(-9) + 2). Let x be 3\/y*(-6)\/v. Is 0 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from vvvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17165699?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -8*n**3 + 2*n**2 - n. Let l be t(1). List the prime factors of (20\/l)\/((-2)\/7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**0)**(-1\/26)\/(p**(-1\/3))**31 assuming p is positive.\nAnswer: p**(803\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 7:40 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/441 + 36\/28?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -37 + 66 - 10?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 2*v - 25, -488*v = -487*v - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-350)\/(-20)*(-96)\/(-40) - 90.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - (-133 + 45 + -30) - 27.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 146 + -140. What is the greatest common divisor of 8 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -811 - -815. Let x be (-6)\/(-4)*(-8)\/(-6). Suppose 0*d - 5*n - v = 4*d, -32 = 4*d - x*n. Let a(t) = -t - 11. Give a(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 8, 76?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00132613465 rounded to five decimal places?\nAnswer: -0.00133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ochhbcicbc. Give prob of picking 1 h and 1 c.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -447 - -443. Let g(l) = 5*l - 2. Let d be g(-2). Put 3, d, q, -5 in decreasing order.\nAnswer: 3, q, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - x = -5, 0 = -3*v - 160*x + 161*x + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8345 - 5748. Calculate the highest common divisor of o and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6240700 rounded to the nearest one hundred thousand?\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 112, -0.02, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4716.34 in 0.1, -0.1, 1\/6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 13*p**2 + p + 11. Let w be g(-13). Put w, -8, 4, 3 in decreasing order.\nAnswer: 4, 3, w, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -9*l**2 - 2*l + 1. Suppose t + 5 = 6*t. What is m(t)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w - 13 = 35. Determine v so that -4\/3*v**4 + 0*v**w + 4\/3*v**2 - 2\/3*v**5 + 0 + 2\/3*v = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*a + 287*a = -5*d + 598*a - 53, 5*a - 340 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5023280 + 209024. Let n = y + -3112304. Round n to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = s - 5, 0 = -5*j + 2*s + s - 15. Suppose -4*x + 28 = -j. Calculate the remainder when 9 is divided by -2*(1 - x\/2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/24 - 799\/4. Let d = 319 + n. Let o be (2 + 1)*d\/18. Calculate the highest common factor of o and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2303212, -4606421, -6909630, -9212839, -11516048, -13819257?\n\"Answer: -2303209*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39879 and 3780?\nAnswer: 797580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3 - 1 + 4*i.\nAnswer: 4*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 12, 0*z + 18 = 2*p - 2*z. Let w(i) = -i**2 + 13*i + 5. Let q be w(p). What is the units digit of (q - 4)*-31*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 4, -171 + 623 = 2*d + 2*s. Calculate the remainder when d is divided by 46.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j - j - 1 - 3*j)*(23353 - 11679 + 64*j**3 - 11674 - j**3) to z + b*j**4 + m*j + o*j**2 + w*j**3 and give w.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of w**3\/3 - w. Let t(p) be the second derivative of -95*p**3\/2 + 252*p + 4. Calculate t(y(k)).\nAnswer: -570*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -342 = 2*s + x - 867, -s = -2*x - 270. What is the greatest common divisor of 768 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, 1\/17, 6.6, -2\/3, -2, 1\/3 in descending order.\nAnswer: 44, 6.6, 1\/3, 1\/17, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -4*a - 21. Let o be (-16)\/(-28) + 3 - a\/(-21). Solve o*t - 28 = -4*s, 0 = t + t - 5*s for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.4*2\nAnswer: -22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97 divided by 532475.\nAnswer: 97\/532475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67 - 11*g - 10*g - 193 + 66 + 57 to the form f + a*g and give a.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 47040 and 54880.\nAnswer: 329280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-9))\/(((-8970)\/351)\/46)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -7 - 8*q**3 - q**2 + 307*q + 9*q**3 - 312*q. List the prime factors of l(7).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.014299 to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -1\/24*z**4 - 1\/3*z**3 + 38*z**2 + 0 + 0*z. Determine v(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 257 = -237. Is ((-14)\/o)\/(-7) - 40023\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144872 to the power of 1\/2, to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1 = 0, 0*r = -y - 2*r + 6. Which is the second biggest value? (a) -2 (b) -1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -8*q**3 + 11*q**2 - 6*q + 36. Let p(z) = -2*z**3 + 2*z**2 - 2*z. Give -j(s) + 5*p(s).\nAnswer: -2*s**3 - s**2 - 4*s - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -383541, -383530, -383519, -383508, -383497?\n\"Answer: 11*n - 383552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*v + 888 = 591 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*j**4 + j**4 - 3*j**3 - 9 + 6*j**4 + j**4 as n*j**2 + i*j**3 + r*j + d + x*j**4 and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-96)*6 - (-532860)\/16. Let f = 1998337\/60 - r. Calculate the common denominator of -91\/36 and f.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 39760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 220958?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - -4. Let m = 431511\/7 - 61644. Put 22, w, m in decreasing order.\nAnswer: 22, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 3.7. Which is the nearest to 1\/4? (a) y (b) -3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72806.27cm to micrometers.\nAnswer: 728062700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -48845, -97688, -146529, -195368, -244205, -293040?\n\"Answer: n**2 - 48846*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d - 4*d + 11 + 2*d + 3*d. Let f be c(6). Let w(i) = i - 3. What is the units digit of w(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 2*q - 21. Let h = q + 2. What are the prime factors of (h\/(-15))\/(1\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36356 is divided by 202?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17417, 34792, 52167, 69542?\nAnswer: 86917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 9 and 2.2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 121*a + 36498. Give c(-139).\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*w = 46, -3*w = 5*h - 4*w + 58. Let k be ((-1)\/3)\/((5 + h)\/525). What is the greatest common factor of 275 and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**5\/2 + 4081*k**4\/8 - 127*k**3 - 4081*k**2\/8 + 255*k\/2 = 0.\nAnswer: -1, 0, 1\/4, 1, 1020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -166*j**2 - 53*j - 4 wrt j?\nAnswer: -332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7234\/(-99) + 12\/66. Let z = 73 + f. What is the third biggest value in z, -2, -2\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 114, 9.53046, 2?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -446 - 336 - 2*i**2 + 782.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-135 + 135 - 3*v)*(-v + v**2 + v)*(4 - v - 4) to the form j*v + g*v**2 + w*v**3 + p + l*v**4 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 2044008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5044070429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -2*m**3\/3 + 19*m**2\/2 - 16*m - 1801. Calculate r(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**2 - 692*a - 4 + 11*a**2 + 3 - 5*a**2 to the form f*a**2 + q*a + u and give q.\nAnswer: -692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 396 (c) 1\/3 (d) -316\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 16*m**2 + 14*m - 32. Let p be t(-17). Solve p = 4*d + 5*x - 14, 5*d + 4*x - 30 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1155436 or 1155434?\nAnswer: 1155434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1556934 is divided by 94?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x + 8. Let b be y(0). Let v = b - 3. Suppose v*h = h + 16. What is the greatest common factor of 8 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2028432 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 18*u**2 + u + 14. Let f be n(-18). Sort f, 4\/5, -0.3, 0.\nAnswer: f, -0.3, 0, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-0.31\nAnswer: 0.031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2594b (base 12) in base 2?\nAnswer: -1100100100001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 1827*b**3 - 2*b**2 - 2*b - 1. Let o be d(-1). Let y be (o\/(-6))\/(1\/(-3)). Is 2\/(-7) - y\/14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165722.6 rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 64, 109, 178, 277, 412, 589, 814?\nAnswer: 1093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 281909455 to the nearest integer?\nAnswer: 16790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**2 - 5 + 5 + 6 - 5*a**2 - 6 + (3*a - 2*a - 2*a)*(8*a + 5*a - 17*a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 26*r**2 - 20*r - 24. Let a be l(-24). Suppose 4*y = -2*m - 86, -5*m + 15 - 54 = 2*y. What are the prime factors of (a\/10)\/(y\/55)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -45.96 in 4, 0.0787, 3?\nAnswer: 0.0787","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 126\/(-160) + -1 - (280 + -282) and (4 - 5) + (-111)\/(-16)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*d*o**4 - d*o**2 - 63*d - 1 wrt o?\nAnswer: -336*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 10*t**2 - 7*t + 21. Suppose -75*i - 471 - 204 = 0. Give d(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**2 - 9 + 7 - 2*p**2. Let v be -14 + (-45)\/(-9) + 6. Calculate d(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10160392394 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(240)*2)\/(sqrt(12) + sqrt(72)\/(sqrt(6) - 2*sqrt(6)) + sqrt(12)))\/((1*sqrt(2816))\/((2*sqrt(11)*4 - sqrt(11)) + sqrt(11))).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 8 + -1 - -11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 433 + -430. Let x(l) = l**3 + 2*l**2 - 2*l + 2. Let a be x(-3). Let s = 82 - 578\/7. What is the nearest to a in -0.3, s, k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 a factor of 361120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14.187 - -14.187. What is the nearest to p in -0.039, -0.2, 1\/3?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350) - -1*sqrt(350) - (sqrt(84) - (sqrt(84) + sqrt(84)*2 - sqrt(84)))\/sqrt(6))\/((sqrt(200)*2 - sqrt(200))*1).\nAnswer: 11*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyyffyyyffyyy. What is prob of picking 2 f?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, f: 4, l: 3, k: 2}. What is prob of picking 2 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5541?\nAnswer: 3, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/270 and -17\/150.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 113a - 9?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 382268\/11 or 34753?\nAnswer: 382268\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 16*a**2 - 2*a - 24. Let o be n(-16). Suppose 4 = 4*t - o. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*i + 16 = 0, 8*i - 7*i - 2 = 0. Let y be 1*1*6\/2. Suppose -10 = t - 4*g, y*t = g - 4*g + 15. Solve 0 = t*f - 3*f - o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5101448nm to meters.\nAnswer: 0.0000000005101448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4482322929 to the nearest integer?\nAnswer: 66950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 m, and 1 s when three letters picked without replacement from okkqookombsk.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -244 divided by -61.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 11 + 0)*(-6 + 4 + 4)*(4*b - 2*b - b + 2 + b - 2 + (-2 + 0 + 0)*(-4 - b + 4) - 4*b + 2*b + 0*b).\nAnswer: -32*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 - 3)*(-8946)\/8. Let i be (-2)\/(-4) - n\/162. Let h = i - 86\/3. Find the common denominator of h and -28\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 407.\nAnswer: 2\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(175)\/(sqrt(7) + -3*sqrt(700)))\/((sqrt(1920) + sqrt(1920)*-5)\/sqrt(6))*5)**2.\nAnswer: 3444861\/861184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43\/18 + -8\/9. What is the closest to f in 0.4, -0.1, -1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.235, 0.3, 4816, -2\/3, 2?\nAnswer: 0.235","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01073364 to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -788 * 4429.\nAnswer: -3490052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -131.12 from -0.1417.\nAnswer: 130.9783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 224 and 3\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 99 - 166. Let o = 121 + v. Is 27 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 192694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -114646 - -114572. Let n = 3 + -6. Is j less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 f when two letters picked without replacement from {d: 2, g: 1, f: 1, x: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*j + 108 = 0, 3*i - 4*i - 4*j + 41 = 0. Suppose -7*a + 2*a = i. Let y = 7 + a. Calculate the highest common divisor of y and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -34?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12439 - 2049?\nAnswer: 10390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37997\/152012 + -3\/76006. Let o = -1.96 - 0.04. Which is the nearest to 1? (a) -0.1 (b) o (c) l (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83602.928 rounded to the nearest 1000?\nAnswer: -84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 10, s: 9, n: 1}. What is prob of picking 2 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 584 divide 170680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -4223321301?\nAnswer: -4223321303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 5223.7 to the nearest one hundred.\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 3*d**2 + 11*d + 4. Give r(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9\/((-567)\/(-12)) + 7\/(168\/(-32))\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4771810 to the power of 1\/2, to the nearest integer?\nAnswer: 2184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55*-331.9057.\nAnswer: 18254.8135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 8 + 14 = 0. Let h = y - -8. Let n be 0 - h - (-10 + 6). What is the highest common factor of n and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 794286*n**6 + 7610*n**2 + 16.\nAnswer: 95314320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -2\/5, -5, -0.1, 12280 in ascending order.\nAnswer: -5, -2\/5, -0.1, 18, 12280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 280 and 340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -457 = 3*z + 500. Let s = 726 + z. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 - -22. Suppose -2*m = -4*m + h. Suppose -5*r = -2*d - 2*d - 56, -3*d = -2*r + m. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**2 + 16*n + 19. Let g be x(9). Which is greater: g or 2\/779?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/258 and -59\/1505?\nAnswer: 9030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**3 - 4870*c**2 + 1185933*c - 15645798 = 0.\nAnswer: -5103, 14, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -q**3\/6 + 479*q - 4. Let b(d) = -243*d - 49*d - 150*d. Determine a(b(m)).\nAnswer: 442*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4128*q - 2447*q - 838*q - 841*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 0. Let a(b) = -b**3 + 3*b**2 + 6*b - 8. Let z be a(4). Suppose z = 4*m + 4*m - 24. Sort 7, o, m.\nAnswer: o, m, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -95\/11 - -92\/11. Let t = -23\/165 - w. What is the fourth smallest value in 5, -3, -2, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -0.133.\nAnswer: 0.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11439854773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 29. Let n be r(24). Sort -5, -1, n, -13 in decreasing order.\nAnswer: n, -1, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61 + 60.971. Let f = k + -11.871. What is f rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7883\/30 + -1312\/5. Calculate the common denominator of z and 6\/7.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1733130946.99999882 - 1733130979. Let n = -32 - c. What is n rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 16 = -2*i, i + 19 = -2*f + 20 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 83.458576*-0.2\nAnswer: -16.6917152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - d + 496, 0 = -2*j + 4*d - d + 212. Calculate the least common multiple of j and 12.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3213 (base 6) to base 12\nAnswer: -509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**3 - 15*s + 15*s + 0*s**3 - 3 as r + v*s + d*s**2 + b*s**3 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 125*m**4 + 210*m**3 - 335*m**2 - 55*m - 55. Let d(u) = 9*u**4 + 15*u**3 - 24*u**2 - 4*u - 4. Let a(h) = 55*d(h) - 4*k(h). Factor a(c).\nAnswer: -5*c**2*(c - 1)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ro when two letters picked without replacement from rprrrrrrrosr.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187808884?\nAnswer: 2, 577, 81373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 508.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4\/3 + 814*o**3\/3 + 82412*o**2\/3 - 28288*o - 55488 = 0. Calculate o.\nAnswer: -204, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 87 + 1322. Suppose 3*k - 3*t = 1053, -t = 4*k - 0*t - v. Suppose s - 21 = k. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2368020 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: What is the value of (-564 + 587 - (-2 + 29)) + 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 8*q = -184. Let u = q - -324\/7. What is the third biggest value in u, 0.06, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 less than or equal to 1\/2086?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-5) - 1) + (-101)\/(-5). Let t = -6 + p. Put -5, 4, t in descending order.\nAnswer: t, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -84 - -147. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 4:28 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -178.2.\nAnswer: -712.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3363955 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*b - 74, 5*b - 18 = 2*f + 55. Let r = 93 + -35. What is the remainder when r is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 526633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1064524, 2128982, 3193426, 4257850, 5322248?\n\"Answer: -v**3 - v**2 + 1064468*v + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77847424.\nAnswer: 2, 409, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 118735275 a multiple of 1455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjdjdjjjjj. What is prob of picking 4 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -1 + 1 + sqrt(684) - (4 + sqrt(684) + -2 + 4)) + -1)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9 * -20\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5102160 a multiple of 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, g: 4}. Give prob of sequence ffgg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26115822 - 1115822 = -5*k. What is k rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 9*w**2 + 11. Let d(l) = 5*l**2 + 6. Let x be 2\/4*-6 - 3. Let h be 18\/(-12) + (-75)\/x. Give h*d(a) - 6*t(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 2*z - 5 - 9 - 2*z.\nAnswer: -3*z - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2488 - -59723\/24. Find the common denominator of 139\/18 and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -0.34498581.\nAnswer: -0.034498581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32311332 (base 8) to base 12.\nAnswer: -2397b8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1106*p + 295*p + 246*p)*(-2*p**2 + 3*p**2 - 3*p**2).\nAnswer: -3294*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, y: 5, l: 2, a: 2, u: 1, d: 3}. What is prob of picking 1 a and 1 t?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - c**2 - c + 7. Let f(h) = h - 6. Let m be f(6). What is w(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45503872?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**3 - 20*d**2 + 40*d**2 - 20*d**2.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 7*y + 19. Let r(h) = 2*h + 5. Let t(f) = 6*d(f) - 22*r(f). Suppose -2*g - j = -9, 41*j = -4*g + 36*j + 15. Calculate t(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 774204581 to the power of 1\/5, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 10 = 4*i, -x + 5*x = 2*i. Let t be (-9)\/x + -5 + 0 + 2. Calculate the greatest common factor of t and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -13. Is f at least as big as 6\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 55*h**2 - 362*h + 3239. Calculate b(49).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -13*g + 48. Let l be f(-11). Suppose 3*s = -l + 824. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -38*r**2 - r - 39. Let b(o) = -57*o**2 - o - 58. Let s(j) = -5*b(j) + 7*u(j). Is s(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2\/4*(5 - 9)*-46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*((-2)\/(-3) + 0). Suppose 12 = 6*q - 6. Solve v = -q*i - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-167)\/11 + 204\/1122.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6704 is divided by 5957?\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, o: 2, e: 3, w: 1}. What is prob of sequence rew?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49\/(-2) - (-234)\/52?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-66 + 24 - -24) + 2 - (-8 - 0)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*y - 3606. Let d = y - -231. Let r = d - -17304\/11. What is the common denominator of 20 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -1\/8, -2, -1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**9)**0*(r*r*r**(-4))**6 assuming r is positive.\nAnswer: r**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 406662 to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 103\/(-721)*7\/(-2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6.18769 centuries?\nAnswer: 7425.228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -121*d + 2 - 2 + 137*d as u + g*d and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -99*j**2\/2 - 11. Let c(x) = 11*x**2. What is r(c(p))?\nAnswer: -1089*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8\/16*18*(112\/(-231))\/(-8)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23858 - -35745. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 5*i - 8. Let v be b(-7). Let p(l) = 2*l - 15 + v + l - l. Calculate p(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -55*z - 3. What are the prime factors of d(-4)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3529, -2759, -1479, 311, 2611?\nAnswer: 5421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 23*r. Suppose 0*b - 5*b - 33 = -3*o, -4*b - 29 = -5*o. Let u(q) = 20*q. Let a(y) = b*v(y) + 7*u(y). Let k(c) = 37*c**2. Calculate k(a(s)).\nAnswer: 148*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/20 and 53\/1940?\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/875 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 37.73159ml?\nAnswer: 0.03773159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 48, 4197, -5, 4.\nAnswer: -5, -3, 4, 48, 4197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84*h + 84*h - 27*h**2 to z*h**2 + p*h + k and give z.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -5*r - 2. Sort -1, r, 5, -4 in ascending order.\nAnswer: -4, -1, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one quarter of a day?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 - -1.2. What is the nearest to -0.2 in -2\/15, a, 0.5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + -0.9. What is the third biggest value in b, 0, -1\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 6:39 AM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4270.47094 and -143.\nAnswer: -4413.47094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 7*d**2 + 2*d - 8. Let y be l(7). What is the derivative of -1 + 3 + y*x**4 - 4*x**4 - 6 wrt x?\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 2*b**3\/21 + b**2\/7 + 6. Factor t(o).\nAnswer: 2*o*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/8*0 - (0 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 14) to base 5\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -607*f**2 + 289*f**2 + 270*f**2 to t*f + d*f**2 + g and give d.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -54728, -54924, -55244, -55682, -56232?\n\"Answer: r**3 - 68*r**2 + r - 54662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 7*t**2 + 192. Is 24 a factor of m(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/30 + (-3246)\/(-10). Let p(y) = y + k - 4*y - 325. Let f(i) = 9*i**2. Determine p(f(o)).\nAnswer: -27*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 30 = -5*l, -2*l - 21 = -5*i + 14. Suppose -i*n = 29*k - 33*k - 230, k + 215 = 5*n. Calculate the highest common divisor of n and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 + -24. Let z be (-9 + q)\/(-1 - -4). Solve -5*j + 14 = -3*w, 3*w - 2*j + z = -2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -47130603 and -47130603 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 187*d**2 - 352*d + 55. Let g(x) = -7*x**2 + 13*x - 2. Let p(c) = -55*g(c) - 2*l(c). Let j(y) = -5*y**2 + 5*y. Give -9*j(u) - 4*p(u).\nAnswer: u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 360947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*l = 14, l + 6 - 3 = w. Suppose w*g - 66 = -0*g. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 17. Suppose 5400000 = -3*q - 2*c, 0*q = 5*q - w*c + 9000000. Round q to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-5)*(440\/(-16))\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145044, -290179, -435312, -580443, -725572, -870699?\nAnswer: -1015824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 (base 4) in base 8?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3537606, -7075245, -10612880, -14150511, -17688138, -21225761?\n\"Answer: 2*k**2 - 3537645*k + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 3*h + 7 + 4*h)*(-269*h + 5*h**2 - 2*h**2 + 272*h) + (-4 - 2*h + 4)*(-h**2 - 3*h**2 + 2*h**2) - h**3 + 1 - 1 + 0*h**3 + h**3 + 4*h**3.\nAnswer: 11*h**3 + 90*h**2 + 87*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -16*x**2 + 4*x + 2. Let q be m(-2). Find the common denominator of (-2)\/4 + (-75)\/33 and (-3250)\/104*(0 + 12\/q).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612) + -2 + ((sqrt(255)\/sqrt(5))\/sqrt(3) - sqrt(17)).\nAnswer: -2 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + -1.2. Let r = -1826 + 1826. Which is the smallest value? (a) u (b) r (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in -4, 36, 3\/2, 4\/5?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2445 is divided by 2402.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26 + -9a57?\nAnswer: -9a31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/16187 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*3\/8)\/(9 - 109\/12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y + 5. Determine g(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttbtbbtbttbbt. Give prob of picking 2 b.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*o = -67*o - 242*o + 10978 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 - 351a0?\nAnswer: -35194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8054, -8102, -8182, -8294, -8438, -8614, -8822?\n\"Answer: -16*r**2 - 8038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 697 and 2482?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 4*q - q)*(6*q - q - 2*q) + 4 + 2*q**2 - 4 - 192*q**2 - 515*q**2 + 985*q**2 + 955*q**2.\nAnswer: 1223*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9 - 2.9. Let c be (-2)\/((-10)\/(-3)) + 238\/255. What is the nearest to 1\/3 in s, -5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**3 - 3*d + 115*d**4 - 20*d**4 - 34 - 18*d**4 - 75*d**4 to the form k*d + p*d**2 + q*d**4 + o*d**3 + w and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**5)**(1\/74)*(h*h*h\/h**(-17))\/h*h**(-12)*h assuming h is positive.\nAnswer: h**(597\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 4*i**2 + 117*i - 625. Let o(r) = 340*r + 1. Calculate the remainder when o(1) is divided by u(9).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 2, 2\/15, -1016, 2\/13?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x**3 + 2*x**2 + x - 3. Let o(u) be the first derivative of u**4 - 2*u**3\/3 - u**2\/2 + 4*u + 554. Determine 3*o(b) + 4*w(b).\nAnswer: -4*b**3 + 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**3 - 1765 + 884 + 881.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5862, 4785, 3780, 2847, 1986, 1197?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s + 23 - 47 = -4*g, 24 = -4*s + 4*g for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -114 + 168. Suppose 8 = 2*b - k. Suppose 2*l = -3*r + 53, 2*r - l - 2*l = b. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0)**45*j**2*j**(4\/7))\/(j*j*j**(-6)*j**(-7))**45 assuming j is positive.\nAnswer: j**(3483\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v**3 + 22*v**2 - 19*v - 6. Let g be l(9). Suppose -g = -28*s + 23*s. Does 70 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**3 + 7*x**3 - 2*x**3 + (2*x - x + x)*(3*x - 3*x + 4*x**2).\nAnswer: 14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 75794 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -3\/5, -16, 5, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**5\/7 + 4958*v**4\/7 + 427542*v**3\/7 + 5073178*v**2\/7 + 3815320*v\/7 - 9321000\/7 = 0.\nAnswer: -2390, -75, -13, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, x: 1, j: 2, i: 2, b: 2, c: 1}. What is prob of sequence bt?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**13\/f**1)**9 assuming f is positive.\nAnswer: f**108","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 88 = -7*i. Calculate the highest common factor of 11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 16*c**2 + 46*c - 27. Let v be p(19). Let f = v - -239. Solve 4*a + s + 3*s - 20 = 0, -5*s + 19 = f*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -0*x. Suppose -52 = -2*m - 0*d + 4*d, 4*m + 2*d - 94 = x. Let p = m + 8. Is 16 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3*(0 + sqrt(245)) - (1*sqrt(245) + -4)))**2.\nAnswer: -8064*sqrt(5) + 141696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1432 and 245051.\nAnswer: 1960408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -422 + 463. What is the greatest common divisor of a and 328?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 754?\nAnswer: 2262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3015 and 1260471.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 11*f + 8. Let u be h(11). Let z(b) = -11*b**2 - 5*b + 8. Let i(d) = -4*d**2 - 2*d + 3. Let v(t) = u*i(t) - 3*z(t). Factor v(x).\nAnswer: x*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**4 - 12 - 2*y**2 - 26*y + 54*y - 26*y as k + s*y**2 + j*y**4 + f*y + r*y**3 and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 1:18 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 0 + 0*i**4 + 0*i - 9*i**2 - 7\/60*i**5 + 11\/6*i**3. What is the derivative of y(g) wrt g?\nAnswer: -14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*l**3 - 10*l**3 - 5*l**5)*(-2 - 2 - 1) + 3*l**4 - 3*l**4 - l**5.\nAnswer: 24*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h + 20. Let a be y(-7). Suppose 2*o + 4*i = 5478, -3*o - 25*i + 8233 = -a*i. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3054.\nAnswer: 2, 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 12*d**2 - 11*d + 7. Let u be v(-13). Let m = -17 - u. Suppose -120 = -3*t - m*t. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3, -2, -3, 23 in decreasing order.\nAnswer: 23, 3, -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86883 by 10.\nAnswer: 86883\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -112 - -3005104?\nAnswer: 3004552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 1301, -12\/7, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 51\/5 of a meter?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2491098*v**5 + 4328056*v**2.\nAnswer: -149465880*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*f**2 - 17*f**2 + 12141*f + 41*f**2.\nAnswer: 2*f**2 + 12141*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10115.\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -546 + 5*d + 546.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-4) - (3 + 80\/(-15)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 2, r: 4, k: 10}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 10*s**2 - 22*s - 7. Let g be i(5). Let r(h) = -16*h. Let m = 1 - 2. Let b be r(m). Calculate the greatest common factor of b and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 47912100 and 55?\nAnswer: 527033100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16551304 by 8.\nAnswer: 2068913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 104.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from {k: 2, u: 3, s: 4, z: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = -0*t + 2*t. Let z be t\/14 + 8\/28. Find the second derivative of h - 3*h**z + 2*h**4 + 2*h wrt h.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24672233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/3 - 54*q**2 - 5252*q\/3 - 1696.\nAnswer: 2*(q - 106)*(q + 1)*(q + 24)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 720 less than 700?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 - 2*x - 3. What is j(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 108\/630*-7 - (362\/(-10) - 1)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40639859 is divided by 1615.\nAnswer: 1614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 2*i - 58*i = -793 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(891) - (-3 + sqrt(891))) + (4*sqrt(396) + sqrt(396) - sqrt(11)))*-6*-3)**2.\nAnswer: 56376*sqrt(11) + 3000243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43709948.\nAnswer: 2, 53, 206179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w + 5. Let k be p(-6). Let y(x) = x**3 + 6*x**2 + x - 3. Let l be y(k). Solve d - 5 = -l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60852*s**2 - 60846*s**2 + 121697*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 5)*(-3 - 8*u + 3)*(0*u - u - u) + (24*u + 10*u - 9*u)*(8*u - 3*u - 3*u) in the form r*u**2 + n + j*u and give r.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 1:52 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/10 + 306\/90. Suppose -3*r - 12 = 0, 0*x = -2*x - r. Sort x, w, -2 in ascending order.\nAnswer: -2, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*y + 20653, -2*c - c = -y + 5152. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38830 and 5110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62427 is divided by 20744?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3\/5*o**3 + 3\/5*o - 6\/5*o**2 + 6\/5 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + 0.2. Let q(s) = -55*s**2 - 277*s - 9. Let v be q(-5). What is the nearest to -1 in v, 3\/8, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -380*b + 3425. Let k be j(9). Suppose -3*l + 2*l = 0. Solve -3*d + k*m - 22 = 0, 4*d - m + l + 1 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.4? (a) -3\/14 (b) 0.1 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oggg when four letters picked without replacement from gooogoogggog.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/11 - 1058734*h**2\/11 - 140112063472*h\/11 + 700586785960\/11.\nAnswer: -2*(h - 5)*(h + 264686)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -104973057 and 260418?\nAnswer: 105233475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 u when four letters picked without replacement from {d: 2, u: 2, b: 6, m: 2}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4863*h**4 + 6*h**3 + 462173 wrt h.\nAnswer: -19452*h**3 + 18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(-2)*o*o\/(o*o\/o**(-6\/5)))\/(o\/(o\/(o*o**(-2\/9))*o*o))**(-14) assuming o is positive.\nAnswer: o**(-644\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -c + 11, 3*h - 4 = -h. Let p be (-2257)\/(-5) - 4\/c. Let a(t) = -p + 451 + 2*t. Let s(w) = 22*w. Determine a(s(n)).\nAnswer: 44*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 501, 498, 495?\n\"Answer: -3*s + 504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 121*t**2 - t - 17. Suppose 90 = 10*z + 20. Is w(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54931163 + 2251885087\/41. Let w = s - -7136. What is the common denominator of w and 2\/7 - 165\/21?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - (sqrt(170) - -5*1*sqrt(170)))\/sqrt(10).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2031533.\nAnswer: 7, 290219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 379662.9ml?\nAnswer: 379.6629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 14 = 3*l. Find the common denominator of ((-1)\/2)\/(80\/472) and 1358\/120 + 4\/l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(12\/3 - (-13)\/(-3)). Suppose 0 = -i*c + 35 - 5. Sort -3, c, -5 in descending order.\nAnswer: c, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -42*r - 86. Let n be (5\/3)\/((-5)\/30). Is k(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6*w = -m + 4005, 5*m + 4*w - 19996 = 0. Calculate the highest common factor of 32 and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5779*k**2 - 11930*k + 11930*k to the form p + b*k + q*k**2 and give q.\nAnswer: -5779","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9269144?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 2*p + 4 - 6, 0 = -5*o + 4*p - 2. Let k(f) = 168 - 168 + 2*f**o. Let x(n) = 2*n. Determine k(x(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/685, 0.1, -4, -6, -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 262620 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 41 = -l. Let m = -5 - -3. Let a = l - m. Calculate the highest common factor of a and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.292 and -22.3?\nAnswer: 22.592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 10:42 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -343a3 (base 15) to base 3.\nAnswer: -22102222200","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.09 from -8986.\nAnswer: -8985.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 4 = -5*c + 19, c - 5*t - 9 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*u - 45*u - 2*g + 6, -u - 2*g + 6 = 0. Is u >= -1\/771?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 12*p**2 + 9*p + 27. Give x(-11).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 394 and 592773?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 598 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -834*f + 955*f = -9196 for f.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44118606*f**4 + 296*f**2 + 3467*f - 2.\nAnswer: 1058846544*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/5*a**4 - 6\/5*a**2 - 7\/5*a + 3\/5*a**5 + 4\/5*a**3 - 2\/5.\nAnswer: (a - 1)*(a + 1)**3*(3*a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53175150?\nAnswer: 2, 3, 5, 7, 17, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11050248 by 57.\nAnswer: -193864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, a: 1, x: 2, y: 3, s: 5}. Give prob of sequence yya.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 6*j**2 - 2*j - 9. Let r be s(-6). Let t(d) = -d + 13 - 3 - r. Give t(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 531.4942 millilitres?\nAnswer: 0.5314942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*64.9.\nAnswer: -1362.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 2:45 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11661 (base 10) to base 14.\nAnswer: 436d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 0*i - 89*i**2 - 5\/8*i**4 + 0 - 1\/20*i**5 + 7*i**3. Solve t(x) = 0.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 158554661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 16 = 49. Is k a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2993 + 3063. What is the greatest common factor of y and 1970?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9010\/106*14\/(-119).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -474.2 - -474. Let a = -163\/4 + 41. Put a, q, 2 in descending order.\nAnswer: 2, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*w + 0 = -10, -2*w - 4 = 0. Suppose -2*a + 0*a - 8 = 0, 0 = -2*l + h*a + 14. Solve 0 = 4*g + 2*j - 12, 5*g - g + l*j - 16 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 + 78. Suppose 4*h = 5*c - x, -4*c + 5*h - 5 = -39. What is the remainder when (2 - (-5)\/(-3))\/((-34)\/(-1938)) is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrerrrrreeraeaer. What is prob of picking 2 r?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (15\/6)\/((-1)\/(-2)). Suppose 3*z + 15 = 0, k = b*k - 3*z - 2683. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13165*o**2 - 13166*o**2 - 8559 - 18337 + 328*o.\nAnswer: -(o - 164)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a. Let t(c) = -3*c + 1. Let i(b) = -3*b**2 + 2*b + 57. Let p be i(5). Calculate p*z(g) + 3*t(g).\nAnswer: -g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5640 is divided by 5561?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60446 + -40019. List the prime factors of l.\nAnswer: 3, 11, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 - 55 + v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*b + 0*b**2 - 1\/3*b**3 + 0 = 0. Calculate b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.48 * -0.5.\nAnswer: -1.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -21*g + 2*s + 58, 0 = -5*g + 5*s + 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -900000 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-12) - 0)*(-672)\/1680.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*r - 173 = -353 - 730 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5855373222.\nAnswer: 2, 3, 19, 51362923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -4 + -12 - (84 - 111).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/303059370 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 314*s - 316*s = i + 68438001, 171095003 = -5*s - 3*i. What is s rounded to the nearest 100000?\nAnswer: -34200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3. Let y(g) = 5*g**3 + 3*g**2 - 2*g + 1. Let r(b) = 3*l(b) - y(b). What is the remainder when 123\/(5 - 2) + -3 is divided by r(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**5 - 4545*c**4 + 1377135*c**3 - 139090635*c**2 = 0.\nAnswer: 0, 303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 675674347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 9*a**2 + 5*a - 14. List the prime factors of r(7).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104541*l**2 + 20528*l + 3 wrt l.\nAnswer: -209082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 7*c**5\/60 - 133*c**2. Let k(l) = 8*l. Calculate q(k(s)).\nAnswer: 448*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44525, -43515, -41831, -39473, -36441?\nAnswer: -32735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -372*h**3*i**3 + 774*h**2*i**2 - 2*h*i**3 - i**3 wrt h.\nAnswer: -2232*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 + -34181?\nAnswer: -34164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 595.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7001 + 72*w - 7001)*(-2*w**2 + 5*w**2 - w**2)*(w**2 + 3*w - 3*w).\nAnswer: 144*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 50786108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 1789 + 1781 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 365, 732, 1107, 1466, 1785, 2040?\nAnswer: 2207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 9530000 to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*n - 89, -j + 2*n + 19 = -3. Calculate the remainder when 30 is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23356276 to the nearest integer?\nAnswer: 4833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-4) - 552\/1440.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/351)\/(473\/1419).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7006 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 11:14 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 22*n**2 + 20*n - 47. Let b be s(-23). Let f be (8\/5)\/(b\/20 + -1). Calculate the highest common divisor of f and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180087 is divided by 89510?\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10334220 - -4?\nAnswer: -10334211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4750 and 459876?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 93433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 869935961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1366 - -1371. Solve -5*r - 2*n = -2, 141*r - 145*r - w*n + 5 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/8107568 and 19\/168.\nAnswer: 24322704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2*s + 2 - s**2)*(88*s - 12*s + 8*s + (-4 + 2 + 1)*(-1 - 2*s + 1) + s + 3*s - 2*s) + 1 + s**3 - 1.\nAnswer: -87*s**3 + 176*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 1:27 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 20*m + 31. Let j(l) = -4*l**2 + 35*l - 7. Let s(h) = -2*h**2 + 20*h - 4. Let i(d) = -4*j(d) + 7*s(d). What is b(i(p))?\nAnswer: 40*p**2 + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 4. Let i = 15 + -20. Let a be m(i). Let z(t) = 12*t - 4. Let g(c) = -11*c + 3. Let f(w) = 4*g(w) + 3*z(w). Calculate f(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) + -2 + sqrt(44)\/(sqrt(8)\/sqrt(2)).\nAnswer: -2 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.7 - 1.8. Let u = -3 + 2. Let m = u - -1.1. Which is bigger: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**8\/15120 + b**7\/1260 + 7*b**5\/60 - 15*b**2. Let r(i) be the third derivative of q(i). What is g in r(g) = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 189*m**2 + 341*m?\nAnswer: 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a millimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1180 - 1181. Let h(x) = -1. Let g(m) = -m + 7. Determine z*g(a) - 4*h(a).\nAnswer: a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 179 + -91. Let c be 2\/3 - u\/(-3). Suppose -4*t + 33 = 5*o, -2*t - 2*t = 2*o - 42. Calculate the greatest common divisor of t and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (35\/(-20))\/(1\/8). What is the hundreds digit of (a + 20)*106\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + -1*sqrt(78))\/sqrt(6) - (sqrt(117) + sqrt(117) + sqrt(117) + -1) - sqrt(52)\/sqrt(144))**2*6.\nAnswer: -110*sqrt(13) + 39361\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 781760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*c**3 - 94424*c**2 - 4552982*c?\nAnswer: 24*c - 188848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2020 (base 3) to base 15.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -178, -351, -524, -697, -870?\n\"Answer: -173*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 1\/2 (c) -21 (d) -1.6 (e) -2 (f) -1\/4 (g) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1564237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2 + 3*n**2 - 6*n**2 + 1 + 4*n**2. What is the tens digit of k(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39957.62mm to nanometers.\nAnswer: 39957620000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15\/19 + -71\/114. What is the second smallest value in z, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j. Let a be w(1). Suppose 12 = 3*n, 18 = a*t - 2*n + 6*n. Let c(x) = -9*x**3 - 67*x**2 - 31*x - 16. Let b be c(-7). Sort -1, b, t.\nAnswer: -1, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 74 + -105. Let g = 0.22 - 36.22. Let x = g - d. What is the third smallest value in -0.5, -4, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5*2)\/(-2) - 2. Let d(b) = 0 + 0*b + s*b - 2. Does 16 divide d(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 603 + 194. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 60 = -2*j. Suppose -3*k - d = 5 + 9, 6*k + 38 = -4*d. What is the tens digit of j*k*(-92)\/36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128020 is divided by 102?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.02 (b) 0.21 (c) -2 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 205138, 205102, 205048, 204982, 204910, 204838, 204772?\nAnswer: 204718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -143141191*h**3 - 8*h + 717746?\nAnswer: -858847146*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, j: 2, i: 2}. What is prob of sequence iijh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1728) + 1 + 1 + ((sqrt(3) + (sqrt(3) - sqrt(48)))*4 - (sqrt(3) + (sqrt(192)*-1 - sqrt(192)))))*2.\nAnswer: 62*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 76272421 and 10.46036.\nAnswer: 76272431.46036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51\/106583 or -1?\nAnswer: -51\/106583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 88*r - 9 + 0 - 84*r wrt r?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 10 = 0, -4*k + 7*l - 4*l + 2 = 0. Let c be 4 - (2 - k\/1). Let v be (-2)\/(-7) - c\/14. Which is smaller: 2\/13 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153) + sqrt(153) + (sqrt(153) - (-1 + sqrt(153) + sqrt(153) + 5)**2) + -1.\nAnswer: -629 - 39*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 4*r**2 - 42*r**2 + 22*r**2 - 45*r**2.\nAnswer: -61*r**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -0.5 (c) -109\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 28 - 4)*(3850 + 437*c - 3850) as y + r*c and give r.\nAnswer: 9614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69 - 9*l - 69)*(36*l - 32*l - 42*l).\nAnswer: 342*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9 + 0 - 14 - 3*-3. Let x(y) = -6*y**2 - 5*y + 2. Let t(a) = -5*a**2 - 3*a + 1. Let m(c) = -5*t(c) + 4*x(c). Determine m(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 = -818*p + 815*p. Differentiate -39*j**3 - p + 25*j**3 - 39*j**3 - 50 wrt j.\nAnswer: -159*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**5 + 0*x**5 + x**5 + (-7*x - 3*x**4 + 7*x)*(x + 1 - 1).\nAnswer: -4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z + 51 + 22 = 17 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 11 + 3*m + 0*m)*(21*m**3 - 11*m**3 + 34*m**3) to the form i*m + g*m**3 + c*m**2 + j + n*m**4 and give n.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 + -31.4. Let c = 0.6 - f. Let v = -10.9 - -11. What is the biggest value in v, 5, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.9, -1\/10, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2673 - 522 = 9*b. Is -2*b\/(-30)*-3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 151808 + -6?\nAnswer: 151802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**3 + 2*r**2 + 3*r - 2. Let b(f) = 4*f**3 - 4*f**2 - 6*f + 5. Let s = -906 - -901. Give s*o(z) - 2*b(z).\nAnswer: 2*z**3 - 2*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3364875763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 11*z - 146. Give q(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -1\/2*p**3 + 3\/8*p**2 + p + 3\/8*p**4 - 3\/20*p**5 + 1\/40*p**6 + 0. Find r, given that b(r) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6198753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (720\/(-1260))\/((-4)\/14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(847) + -1 + 2 + -1 + ((sqrt(847) - (-1 + sqrt(847))) + sqrt(847))*4*-6)**2.\nAnswer: 36432*sqrt(7) + 1345917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -0*t - o + 25, -5 = 2*t + 3*o. Let x be t\/(-15)*(-9)\/(-12)*50. Suppose 225 = 2*a + a. What is the greatest common divisor of a and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -3*a + 4. Is (67 - -3) + 3*a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 68*w + 398. Determine t(-62).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25029 + 25028. Let g = -0.3 + -0.2. What is the closest to g in 5, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27791394 is divided by 82223.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 135819 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*r = 445997 - 440216 for r.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5132.2441 + -5132. Let v = -0.0441 + r. Sort 5, v, 1.\nAnswer: v, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -1429*x - 1642. Let k be p(-2). Let q(y) = y**2 + y + 19. Let w be q(0). What is the greatest common factor of k and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*p - 21*p = -12, 2*f = -10*f + 3*p for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*f + 218 = 0, -415 + 126 = 5*t - 3*f. What is the common denominator of (-498)\/t*4\/6 and 274\/(-36)*((-45)\/10 - -3)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 42. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4 - 6. Sort 4, -3, z in decreasing order.\nAnswer: z, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-126 - -82)) + (-16 - (1 - 3 - -1))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -137 (base 12) to base 9\nAnswer: -227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 13*u**2 - 77*u + 1099. Is d(72) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 3*h - 1. Let s(d) = 55*d**3 - 11*d**2 - 15*d + 5. Give -5*k(q) - s(q).\nAnswer: -55*q**3 + 16*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 5. Let s be (2\/(-24))\/(-3 + (-34)\/(-12)). Which is the closest to -2? (a) 1\/8 (b) s (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 70. Let w be 7\/n - 86\/(-14). Suppose 2*i - w*i = -524. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 y when two letters picked without replacement from {y: 1, n: 2, a: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*x**4 - 62*x**3 - 2*x**2 + 309*x - 11 wrt x.\nAnswer: 72*x - 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0.06 (c) 0.042 (d) -0.05 (e) 57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83, 947, 3281, 7817, 15287, 26423, 41957, 62621?\nAnswer: 89147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-46)\/(-18))\/((-714)\/2142)\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -17 + (-1 - 1) - (24 + -15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2355025 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 784 = 796 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47 - (-6726)\/236)\/(2\/4).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 265*x**2 - 4*x - 2. Let b(j) = 315880*j**2 - 4770*j - 2385. Let c(w) = -2*b(w) + 2385*v(w). Let z(l) = -2*l. Calculate c(z(p)).\nAnswer: 1060*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 248 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - k - 407 = 0, 3*k - k + 304 = 3*m. Let s be (m*(0 + -1) + 2)*1. Let o = -24 - s. What are the prime factors of o?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**4 - 3955*d**3 - 788000*d**2 - 2328540*d.\nAnswer: -5*d*(d + 3)*(d + 394)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**2\/3 - 101738*j\/3 - 1901200 = 0?\nAnswer: -56, 50925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 18, 2\/5, 5 in descending order.\nAnswer: 18, 5, 4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-14))\/(1*(-14)\/49)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2198\/51 - 72\/17. Let m = 47 + n. Is -0.2 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -1. Suppose -q*y = y - 16. Calculate the remainder when 1*47 + y\/(-4) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 - 1)*(-15*x - 25 + 25).\nAnswer: 105*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 14*n**3 + 72. Let q(w) = -w**3. Give -12*q(i) - x(i).\nAnswer: -2*i**3 - 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4 + 87*x**3 - 84*x**2.\nAnswer: -3*x**2*(x - 28)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -339 less than 2\/125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 + -60. Let v = m - -12.9999822. What is v rounded to six dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -45, -2\/11, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -49251168 divided by 5904\nAnswer: -8342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-15) + 38\/(-10). Let p be (q + 2)\/(-1 - 0). Suppose 5*w + 28 = p*x, 0 = 3*w - 2*w - 3*x + 16. Is -5 greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-241)\/(-5) + (-2)\/10. Let q = l - 31. Let o = q - -1. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - 3*-1*sqrt(192))**2.\nAnswer: 3072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j - 1. Let y be f(3). Let o = -24593\/450 + 1476\/25. Find the common denominator of o and ((-2)\/y)\/(-1 - -2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -76*f**2 + 11. Let s(g) = 19*g**2 - 3. Determine -22*s(a) - 6*w(a).\nAnswer: 38*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.03, 826, -2 in decreasing order.\nAnswer: 826, 1, -0.03, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2551*s + 207*s - 31*s - 63843 = 28875 for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 + 50. Does 3 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k = -o + 3*k + 74, -2*o - 304 - 293 = 23*k - 78 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14544 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 4\/3, -251, 0.04, 1\/9, 3 in decreasing order.\nAnswer: 3, 4\/3, 1\/9, 0.04, -0.3, -251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -258104, -1032424, -2322968, -4129736, -6452728, -9291944?\nAnswer: -12647384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.99 in -0.166, -1, -1\/3?\nAnswer: -0.166","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + -4 + 2)*20. Suppose -4*f = f - y. Let j(g) = g + 11. Let m be j(-7). What is the highest common factor of f and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -225.\nAnswer: 4\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77*9.38.\nAnswer: 722.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(200)\/sqrt(5) - sqrt(40) - sqrt(40))\/sqrt(8) - (sqrt(5) + (-6*sqrt(10)\/sqrt(2))**2)).\nAnswer: 6*sqrt(5) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 50632562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 9. Suppose -m + x + 117 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*b + b + 40. Suppose -2*o + 99931 = -b*n - 90069, 3*n - 285000 = -3*o. What is o rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 684 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7531527293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -17384764 - -2?\nAnswer: -17384762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 5:36 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 i when three letters picked without replacement from mmamiaaaaammaaaaamm?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 5822894.\nAnswer: 1\/529354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -15390000 rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12737 and 4277?\nAnswer: 1159067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68712 by -22904.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2088)\/(-48)*((-4)\/6 + 0)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.026 + 18.174. Let r = 18 - h. Sort -1\/4, 1\/4, r, 1 in decreasing order.\nAnswer: 1, 1\/4, r, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 equal to -77\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 658, -53, -5, 1, -3, 0 in descending order.\nAnswer: 658, 1, 0, -3, -5, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 57764 and 14?\nAnswer: 57764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) -0.7 (c) -1555004\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**4 + 2*z**5 - 2*z**4)*(29 + 17 - 18) + (3 - 3 - 2*z**4)*(-5*z - z + 2*z).\nAnswer: 64*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24041 is divided by 22752?\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1 + 0 = -v, 5*s + 2 = -2*v. Suppose -4*i + 0*n + n + 89 = s, 5*i - 3*n - 113 = 0. Calculate the remainder when i is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-6))\/((-60)\/3420). Solve -5*c - 13 = -6*g + 2*g, -3*g - i = 2*c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m - 254480*r + 254476*r + 20, -3*r = -m - 15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**21\/x*x*x*x**(6\/5))**(1\/4) assuming x is positive.\nAnswer: x**(29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000190152 rounded to 7 dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 3*m**2 + 2*m. Let l be p(-1). Solve 20*d - 5*d - 60 = l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 23*g**2 - 115*g - 17. Let u be o(8). Solve -u = -f - 4*x, 17 + 13 = 5*f + 3*x for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**3 + 20*f**3 - 9*f**3 - f**3.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 132916835 to the power of 1\/2, to the nearest integer?\nAnswer: 11529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 4*p + 2*w - 3*w, -26 = 2*p + 3*w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13698.5 times -2174?\nAnswer: 29780539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7325 + 4?\nAnswer: -7321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - t**2 + t + 2. Let d be h(3). Let q = d - -101. Calculate the greatest common factor of 10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4586.97711 - 4587. Round q to 3 dps.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 665421*a**4 - 29454805*a**2 wrt a.\nAnswer: 15970104*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70800 + 35401 + 35399 - 15*d**3.\nAnswer: -15*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -667894819\/936 + 713563. Calculate the common denominator of m and -107\/1872.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 875.574 minus 0.289?\nAnswer: 875.285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (26 - 70 - 25) + 10.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 7*s + 7. Let x be g(-5). Put x, 1, -5 in increasing order.\nAnswer: -5, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 412903, 412905, 412907, 412909, 412911?\nAnswer: 412913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + 3*o - 3*o + (-3*o - 2*o + 4*o)*(2 - 2 + 2).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 + 2*n**3 - 2*n**2 - 3*n**3 + 1)*(2 - 1 + 0).\nAnswer: -2*n**3 - 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*h**2 + 23*h - 522 wrt h.\nAnswer: -14*h + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45447 is divided by 4278?\nAnswer: 2667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-4\/5)\/r**18 assuming r is positive.\nAnswer: r**(-94\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 351*y - 21 = 350*y, i - 4*y = 46 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91 - 60. List the prime factors of h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304847955 to the power of 1\/3, to the nearest integer?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -520283*a**4*d - 78*a**3*d + 7*a**2 - 27*a*d - 50087*d + 1 wrt a?\nAnswer: -12486792*a*d - 468*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 4*u + 1. Let a be d(5). Let m = 3 + 27. What is the remainder when m is divided by ((-8)\/a)\/(3\/(-36))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-383 - -50)*(-3)\/27. Which is greater: b or 36?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w**3 - 7*w**3 - 7*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539)*-3 + (sqrt(11) - -3*sqrt(44)))**2.\nAnswer: 2156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 260450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.22? (a) -0.06 (b) -1 (c) 3\/4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.3927 + 96.5068. Let j = h - 113.8995025. Let r = -5 - j. Round r to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*x**3 - 2*x**3 - 3*x**3 + 2*x**3 + 2*x - 2*x + (0 - 2*x + 0)*(-2*x**2 + 0*x**2 - x**2) as g*x + p + j*x**3 + k*x**2 and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20466 is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3638 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1463\/266)\/((-77)\/(-22)).\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 - 2*v + 5 + 319*v**2 + 8 + 4 + 3 in the form b*v + k*v**2 + o and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 4, -12, -50, -116?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*i - 0*i. Let t(r) = -8*r**3 + 2*r**2 - 29*r + 20. Let a(g) = -3*g**3 + g**2 - 10*g + 7. Let q(v) = 11*a(v) - 4*t(v). What is q(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 3*y. Let s be c(-3). Suppose s*m = 2*m. What is the closest to -0.1 in -0.01, 2\/17, m?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b. Let q(c) = c. Calculate 5*j(r) - 5*q(r).\nAnswer: -25*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*(147719\/39 + -8). What is d rounded to the nearest one hundred?\nAnswer: -11300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -7*c**5\/20 - 5*c**4\/2 + 23*c + 4. Let y(w) be the first derivative of m(w). Find the third derivative of y(h) wrt h.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*g + 5*m + 6, 0 = 4*g + 2*m. Let j = g + 5. Solve 14 + j = -5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -67*j + 172. Determine n(3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2757 + 0*f - 174*f + 2757 + 4*f + 5*f.\nAnswer: -165*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.027477 to four dps.\nAnswer: -0.0275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -20.4.\nAnswer: 6.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -105292509*g - 27279303?\nAnswer: -105292509","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 10 + 18. Let p be (-42)\/(-10) - w\/((-7)\/(-4)). What is the nearest to -2 in p, 2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -80*t**4 + 4 wrt t.\nAnswer: -320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1326 and 493714.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95, -188, -279, -368, -455, -540?\nAnswer: -623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p - 5. Let y = 30 + -21. Let d(g) = -5*g - 11. What is y*k(m) - 4*d(m)?\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -2*x - 5*a, 256 = 3*x - 2*a + 27. Suppose i - 6*i = -x. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -8. Let n be -6*i\/(-6) - 7. Let c(m) = -m**2 - 7*m - 5. What is c(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**2 + 19*a + 11. Let r be l(8). Let k = r + 95. Factor -2\/17*c**3 + 0 + 0*c + 2\/17*c**k.\nAnswer: -2*c**2*(c - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 53 = 3*z - 162, -2*z + 3*j + 98 = 0. Calculate the remainder when z is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p - 11 + 16 + 14. Let u be k(-9). Let y be 72\/(-39) + (1 - -1). Which is bigger: u or y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1671 greater than -1327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10218*c - 5111*c - 5106*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 42*k**3 + 10*k**2 - 27*k + 17. Let d be m(4). Let o be 2\/2 + 4\/4. Let y(r) = 2757 - 2*r**o - d. Let h(j) = -27*j. What is y(h(p))?\nAnswer: -1458*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4508280*z + 3963174.\nAnswer: 4508280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/27810 and 59\/1999539?\nAnswer: 19995390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x - x**2 - 4*x**3 + 2 - 20*x + 0*x + x**4 + 10*x to the form u*x**4 + f*x**3 + b*x**2 + v*x + l and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1023 (base 7) in base 10?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n. Let i(l) = 452*l**2. Calculate i(d(b)).\nAnswer: 1808*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**5\/100 + a**4\/15 - a**3\/6 + a**2\/5 + 37*a. Factor o(f).\nAnswer: -(f - 2)*(f - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(72)*4)\/(sqrt(576)*5) + -2)*5.\nAnswer: -10 - 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 3*z = -2*z + 1, 9 = -f + z for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**(-25)))\/d*d**(-23)\/d*d*d**(-3\/10)*d\/d**(-2\/21))**(-16) assuming d is positive.\nAnswer: d**(80984\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1388 = 8*q + 268. Does 16 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 - 55*o - 166. Calculate the least common multiple of 1520 and g(-4).\nAnswer: 16720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/3, -11, -1\/3, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -252 - -50336261?\nAnswer: 50336006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 5)*(27*b**3 - 18*b**3 - 10*b**3) + (3 - 12 + 4)*(b**3 - b + b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21\/5 - (-2)\/(-10). Let t(l) be the third derivative of 0 - 1\/6*l**3 + 0*l - 2*l**2 + 1\/12*l**d. What is the derivative of t(j) wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 9*b. Let p(g) = -13*g. Determine h(p(a)).\nAnswer: -117*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - sqrt(396)) + 3 + sqrt(99) + -4)**2*2 + -5.\nAnswer: 8*sqrt(11) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1296 and 7164?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s. Let r(d) = 10054*d - 27. Let v(o) = -2510*o + 6. Let g(x) = 2*r(x) + 9*v(x). What is y(g(l))?\nAnswer: 4964*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 873 by -19.\nAnswer: -873\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/3100 and -13\/20100?\nAnswer: 623100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(23\/3)*r\/(((r*r\/(r\/r**(1\/6)))\/r)\/r)*r*r)\/(r*r*r**7)**(-39) assuming r is positive.\nAnswer: r**(725\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/6*16)\/(-4*3\/6). What is the smallest value in 2\/61, 7, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -836 + 4a?\nAnswer: -7ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 15b9b5 (base 13) to base 11\nAnswer: 33972a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-165)\/22*10*6\/(-25)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19321 + 19326. Solve 5*h = 2*r + 2 + 6, r = m*h - 9 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132454237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11*-85744.\nAnswer: -9431.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -16*u + 14. Suppose -5*k + u*z + 2085 = 0, z - 2085 = -0*k - 5*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-nine fifths of a milligram?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 266 * 0.04\nAnswer: 10.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 l when four letters picked without replacement from lexxcxiilclliylyyxli.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05 + -0.25. Let x = 0.7 + p. Let i = -61953 - -61950. Which is the closest to 2? (a) 5 (b) x (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - (-4)\/(-12))*-21. Suppose k*u - 5*u = 0. Suppose -4*v = j - 34, -5*v = 3*j - u*v - 116. Is j a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/6*(-8)\/582. Suppose -4*l + 3*k + 24 = 0, 5*l = 2*l - k + 5. Suppose 9*n + 4*r = 10*n + 21, -8 = l*n - r. Which is smaller: n or j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -52*c**4*v**2 + 14*c*v**2 + 54*v**2 - v wrt c?\nAnswer: -208*c**3*v**2 + 14*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -80*r**2 - 61*r + 100. Give z(2).\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/10 and 34\/49?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*r**5 - 5*r**4 - 60*r**3 - 25*r**2 = 0 for r.\nAnswer: -1, -1\/2, 0, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7975969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = x + 11. Let o be (5 + 188\/(-28))\/x. Factor 8\/7*d - o*d**2 - 2\/7*d**3 + 0.\nAnswer: -2*d*(d - 1)*(d + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 21*y**2 - 23*y + 30. What is the units digit of s(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6508782 and 723198.\nAnswer: 6508782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47368 - 16*p - 23*p + 53*p - 26*p.\nAnswer: -12*p - 47368","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 7*u**2. Let n(s) be the third derivative of s**4\/3 - 3*s**3\/2 - 5271*s**2. What is n(w(q))?\nAnswer: 56*q**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 9*w**2 + 9*w - 6. Let b be q(8). Suppose -5*a - b*a = -182. Does 18 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-6))\/(((-148)\/(-18))\/((-1737)\/5211)).\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15810, -21006, -29660, -41766, -57318, -76310, -98736?\n\"Answer: i**3 - 1735*i**2 + 2*i - 14078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37475 + -37473. Solve -1\/4*c**2 + 0 + k*c = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 803045.4 minutes in hours?\nAnswer: 13384.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2. Let i(t) = -20*t**2. Let g = -44001 - -44000. What is g*i(c) + 3*s(c)?\nAnswer: 17*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.765 + -0.185. Let k = z - 0.05. What is the biggest value in 3\/8, 5, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 713 is divided by ((-78)\/91)\/(10\/(-70)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1277624287?\nAnswer: 1277624287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 89*j**3\/6 + 145*j**2\/2 - 163*j. Let t(n) = 89*n + 144. Let k(v) = 4*c(v) - 5*t(v). What is the derivative of k(b) wrt b?\nAnswer: -89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2702567 to the power of 1\/2, to the nearest integer?\nAnswer: 1644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -32, 0, 100, 304, 648, 1168, 1900?\n\"Answer: 6*i**3 - 2*i**2 - 4*i - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bc when two letters picked without replacement from ccbb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9993 - 661. Is (-4)\/18 + h\/36 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 231 - 228. Let c = 4.035 - 0.035. What is the third biggest value in c, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 35*p - 112. Let n be h(38). Let z be n - 0 - (6 + -3 - 3). Solve a + 11 = z*g - 2*a, -4*g - 2*a - 2 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5848 and 272.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a minute in milliseconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1298, 1300, 1302, 1304?\n\"Answer: 2*b + 1296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/24 (b) 46 (c) 14\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/7)*g*g**5*g)\/(g**7*g*g\/g**(3\/5)*g) assuming g is positive.\nAnswer: g**(-94\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291*w**2 - 448912 + 448912.\nAnswer: -291*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4758*d**3*o + 3*d**3 - d*o - 572*d + 4 wrt o.\nAnswer: 4758*d**3 - d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 222944 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1088.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = q - 15, -q = -3*c - 125 + 113 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**4\/12 - 1194*w. Let k(z) = 5 - 2 - 3 - 92*z**2. Give k(v(c)).\nAnswer: -92*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n + 5*n**2 - 4*n - 2*n - 219*n**3.\nAnswer: -219*n**3 + 5*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 16*s**2 - 4*s + 12. Suppose 0 = -12*p + 117 + 87. What is the tens digit of c(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28.8 - -29. Sort -8, 3\/4, a in decreasing order.\nAnswer: 3\/4, a, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.2 = 0.53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -d - o + 4*o, 52 = -2*d + 2*o. Let r = 46 + d. Solve r = 5*k - 5*j - 6, -3*j - 14 = -2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -7*w**2 - 30*w + 158. Let l(b) = -6*b**2 - 25*b + 159. Determine -5*j(q) + 6*l(q).\nAnswer: -q**2 + 164","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**2 + 2*g + 163635312. Let y(f) = f. Determine y(t(b)).\nAnswer: -2*b**2 + 2*b + 163635312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o**2 + o + 5. Let z be n(9). Let b be z\/(-17) + 1*(3 - 2). Find g such that 13*g**3 + 27*g**4 - 12*g - 12*g**3 - b*g**2 + 8*g**3 = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4476\/6317? (a) 0.3 (b) -0.5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 12 - -4 - (-2 + -15).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (-7 - (-105)\/7 - 5). Solve 14 = j - l*q - 3*q, 2*j - 16 = 4*q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 454*y - 15. Let r(n) = -5*n**2 - 6. Determine r(p(d)).\nAnswer: -1030580*d**2 + 68100*d - 1131","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-15)*5\/((-585)\/(-18)).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(189\/14))\/((-40)\/480)\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 184081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, k: 4, t: 8}. Give prob of sequence ttkk.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-6)*b*b*b**(-5\/4)*(b\/((((b**31\/b)\/b)\/b)\/b)*b*b)**(-40))**22 assuming b is positive.\nAnswer: b**(42053\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/6 - (0 + 125\/210)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaawxexeeaereaaaee. Give prob of sequence xewr.\nAnswer: 7\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/(-5))\/(-3))\/(3\/5)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 2*s - 924, 0 = -0*s - 3*s + 9. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s - 4. Let w(i) = 5*i**2 - 3*i + 8. Let q(v) = -v**2 - 1. Let o(t) = -6*q(t) - w(t). Let h be o(2). Let j(u) = -3*u - 11. Calculate h*m(n) - 3*j(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15*3\/(-9) - -10. Suppose -2 - 3 = i. Sort o, -1, i, 1 in descending order.\nAnswer: o, 1, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3926852*s**3*t**2 - 2*s**2 + 15*s*t**2 - 3288*s - 3*t wrt s?\nAnswer: 23561112*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*t - 8*t + 64, -t - 3*o = -21. Let z = t + -23. Let k(n) = -3*n + 15. What are the prime factors of k(z)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 7*b**2 - 7*b - 7. Let o be m(-6). Let y be 25\/10*(-1 + o). Let c(s) = s**3 + 5*s**2 + 1. Calculate c(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19954 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7800, -7380, -6254, -4068, -468?\n\"Answer: 59*m**3 - m**2 + 10*m - 7868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/4, 0.1, -1\/2, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 6:45 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or 2\/3044081?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23252544 (base 6) to base 8.\nAnswer: 2603120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n**2 + 2*n - 1. Let m be (3 - 2)\/(1\/1). Let c be o(m). Let v(p) = p**3 - 8*p**2 + 11*p - 9. Is v(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (-1)\/(-4) + (-35)\/(-4). Let r(s) = -s**3 + 9*s**2 - 4*s - 5. Let p be r(b). Suppose -629 + p = 7*o. Round o to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1386\/15*-1)\/(22\/(-1430))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 44 + -4?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 5*k**2 + 4*k - 7. Suppose -3*l + y = -13, 3*y + 0 - 3 = 2*l. Suppose l*c = 12 + 18. Calculate q(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/13, 14\/3, 0.5, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 27*m**2 - 3*m - 8. Let x(q) = -2*q**3 + 61*q**2 - 6*q - 17. Let y(i) = -9*h(i) + 4*x(i). Determine y(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33409?\nAnswer: 33409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bx when two letters picked without replacement from {x: 3, b: 11}?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 3456?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfbblllbfbbbbllb. What is prob of picking 2 l and 1 b?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(700))**2 + 2.\nAnswer: -40*sqrt(7) + 706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 6:57 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*x + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1287, 5159, 11613, 20649, 32267, 46467?\n\"Answer: 1291*x**2 - x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2 + 21*b + 6. Let l be v(11). Let x(a) = a**2 + 5*a + 2. Determine x(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -2*t - 4, -55*q - 4*t = -53*q + 38 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3349 - -5939. Is 0 + (4\/(-8) - r\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10358 - 0?\nAnswer: 10358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*x**2 + x**3 + 2*x + 11*x**2 + 82*x - 10*x in the form g*x**3 + k*x + p*x**2 + q and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 191\/28104060 and 131\/10540?\nAnswer: 871225860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9792943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 7*z - 1 - 2 to the form i + u*z and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 2:53 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.03 and -0.2828.\nAnswer: -0.3128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/((-28)\/24) - 176. Let o = -163 - g. What is the remainder when 56 is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t + 4. Let a(j) = -j + 1. Let d(u) be the first derivative of u**4\/4 - u**3\/3 + u**2 - u - 1. Let b be d(1). Determine b*h(c) - 5*a(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 40*q - 536 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 5 + (-7 - -15 - 6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 - 14*p + 3. Calculate h(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59374 * -0.4.\nAnswer: 23749.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1499, 1449, 1399, 1349?\nAnswer: 1299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 147 (base 9) to base 8.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + a**2 - 2*a + 3. Let s be c(-3). Let f = s + 8. Let u(w) = 1 - 2*w**3 - 6*w**2 + 3*w**2 + w**2. Calculate u(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 805 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**4\/3 + 92*v**3\/3 - 4*v**2\/3 - 92*v\/3.\nAnswer: 4*v*(v - 1)*(v + 1)*(v + 23)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1341 smaller than -1344?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5618)\/(-4)*(148 - 142)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 103435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4824 and 228?\nAnswer: 91656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 5*r**4\/12 - r**3\/6 + 3*r. Find the second derivative of i(c) wrt c.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(42\/77) - 2\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w**(-2)*w)*w)**10)**(-24) assuming w is positive.\nAnswer: w**(-960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00820456 to 5 dps.\nAnswer: 0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16428697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6869, 13742, 20615, 27488?\nAnswer: 34361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16833843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**5\/15 - 5*v**4\/9 + 2*v**3\/3 + 6*v**2 - 12*v. Factor g(i).\nAnswer: 4*(i - 3)**2*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 33*g**3 - g. Determine b(-1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o - 8. Let g = -6 - -13. Let z be u(g). Let q be (-5)\/1*3\/3. Sort z, q, 5 in descending order.\nAnswer: 5, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*v = -40*v + 918. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/1417 and 37\/1176219?\nAnswer: 15290847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123385845000 - -1.\nAnswer: -123385844999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/6 - (18\/(-4))\/9. Let b = -0.05223 + -1.94777. What is the second biggest value in 6, 4\/7, j, b?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a0a7a2 (base 16) in base 12?\nAnswer: 3638b96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/108)\/((-276)\/1449*7\/6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 128 * -41235\nAnswer: -5278080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00032079406 rounded to 7 decimal places?\nAnswer: -0.0003208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - y + 7. What is u(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-6))\/((-10800)\/2025).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 1926*l - 529. Is b(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 8:43 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**5*l**3 - 3*c**3*l**3 + 4*c*l**3 + 4*c*l - 2*l**3 wrt c?\nAnswer: 20*c**3*l**3 - 18*c*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4269359397 to the nearest integer?\nAnswer: 1622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 5. Suppose i*l - 13 + 5 = 0. Suppose 0 = -l*h + 5*h - 18. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21474, 42713, 63494, 83589, 102770, 120809, 137478?\nAnswer: 152549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*s = 178*s + 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 325 and 955775?\nAnswer: 12425075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + p + 4. Let x(b) = -5 - 2*b - 2*b**2 - b + b + b**2. Give 5*l(n) + 4*x(n).\nAnswer: n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2484)\/(-3864))\/((-90)\/252)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(7) - (-2*sqrt(7) + 2)) + sqrt(56)\/(-2*sqrt(16)\/sqrt(2)) - (2 + (sqrt(343))**2 + sqrt(343)*-1)*-3.\nAnswer: -37*sqrt(7)\/2 + 1030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -119ab (base 14) to base 2\nAnswer: -1010100001000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 2*m - 28, 5*q - m - 9 = 3*m. Solve 10 = -p - 2*y - 0*y, -q*p + 4*y = 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 12\/23, 0.08 in ascending order.\nAnswer: -2\/7, 0.08, 12\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*u - 2. Let p be -4 - (-11 + (-4 - u)). What is the third derivative of -91*d**5 + 1 - p*d**2 + 4*d**3 - 4*d**3 + 54*d**5 wrt d?\nAnswer: -2220*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a**3 + 550*a**2 - 181*a - 361. Calculate t(183).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10 - -7 - (0 - 1). Let n = -0.12 + 0.07. Sort n, q, -1.\nAnswer: q, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10437*y**4 + 38*y**2 - 95*y - 22222.\nAnswer: 125244*y**2 + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3161865\/248 <= 12749?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -1\/2*p**2 - 9*p - 7. Let q be n(-12). Solve -2*f = 2*i - 10, -4*i - q*f = -2*i - 14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) -1\/8 (c) -3\/4 (d) 258 (e) -1\/5 (f) 5 (g) -5\/2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 8:35 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bt when two letters picked without replacement from {v: 1, t: 3, y: 6, s: 2, b: 2}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-919)\/42 + 4\/(-14) and 114363\/(-18624)*(-16)\/(-18)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33\/4 - 31\/4. What is the second smallest value in -6\/7, -0.2, 3\/10, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.8523l in millilitres?\nAnswer: 67852.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o = 14 + 10 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 + 2440*r**2 + 2468*r - 14664.\nAnswer: -4*(r - 611)*(r - 2)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*n + 2 + (n - n + 2*n)*(-1 - 1 + 4) - 2*n - 1 + 1 + (2*n + 2*n - 3*n)*(-3 + 2 - 2).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -734, 8, -21, -5, 1, -1.\nAnswer: -734, -21, -5, -1, 1, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10, -24, -62, -136, -258, -440, -694, -1032?\n\"Answer: -2*n**3 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -962.8 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -6. What is the remainder when y is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -2*m + 34, 17*m - 18*m = -2*q + 5 + 18 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -13.8, 2768, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-2 - (-5)\/(-10))*(-4)\/5 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ci when two letters picked without replacement from {u: 2, a: 1, i: 1, c: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 56 = 4*q. Let i = 11 + q. Suppose 0*r = -5*s + i*r - 11, -3*r + 7 = -s. Sort -5, s, -10 in decreasing order.\nAnswer: s, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 11:49 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1449, 73, 2607, 6153, 10711, 16281?\n\"Answer: 506*p**2 + 4*p - 1959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.019 - 0.261. Let k = 0.58 + q. Put k, 4\/5, 0.2, -2\/23 in descending order.\nAnswer: 4\/5, k, 0.2, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 721732649 - 721731678.000929. Let k = s - 971. What is k rounded to five dps?\nAnswer: -0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**3 + 6*f**2 - 13*f + 13. Let z be u(3). Let s(w) = 2*w**2 + 38*w - 7. What is the tens digit of s(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -2. Let w = -20 + 19.9. What is the closest to w in 1\/3, -1, i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3072 is divided by 703?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*o + 2. Let z(s) = -26*s - 13. What is the units digit of z(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and -0.215.\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 45*s + 577. Calculate d(-38).\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*t + 2*z = 816, -62*t - 60*t = -124*t - 6*z - 34 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 1:46 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12554 (b) -1\/5 (c) -1 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 810 = 2*d, -4*d + 3*l + 458 = 2063. Let a = 551 + d. What is the remainder when a is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1705712159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 29 = -3*k. Let h be 22\/(-231) - k\/(-63). Solve h = -4*o + 10 - 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9 + 11)\/(4\/(-70)). Let z be (-24)\/(-7) + 15\/x. Suppose -128 = z*m - 11*m. What is the smallest common multiple of m and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 849701?\nAnswer: 849701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24760446*k**6 + 7*k**2 - 48329832*k wrt k.\nAnswer: 2971253520*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 196855782*c**4 + 75*c + 20510 wrt c.\nAnswer: 2362269384*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8+-479056719155\nAnswer: -479056719163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 0. Let a(z) = z**3 - 4 - 3*z**2 + 2*z**2 - 2*z + 7*z**h. Let t be a(-3). Solve m = f + 14 - 5, f + t = 5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, r: 1, i: 2, v: 1}. What is prob of sequence vi?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/6 + (-1)\/(-6)*9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 12. Let q be j(9). Suppose 8*u = -q*u + 11759. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 142*j + 35 + 1771 + 1602 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2133 - 2131. Let k = 26 - 103\/4. Which is the fourth biggest value? (a) k (b) -8 (c) 1\/7 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.8642362 to four dps.\nAnswer: 1.8642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from {i: 3, f: 2, m: 9, w: 2, d: 3, l: 1}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*j - 4*f, 4*j = -2*f - 0*f + 2. What is the units digit of -8*2*j\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3431 (base 6) to base 10\nAnswer: -811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, e: 4}. Give prob of picking 1 e and 3 q.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3354013 (base 6) to base 3\nAnswer: 22200002100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 - -88\/3. Let s be (0 - 200\/255) + 128\/(-68) + 2. Let p be ((-4)\/18)\/(7\/(-42)). What is the closest to s in p, 3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 192 = 5*a, 3*y + 2*y - 3*a = 894. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y**3 + 121*y**2 + 24*y + 63. Determine g(-24).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6314141321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e52 - 259e?\nAnswer: 8b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1875032 and 232?\nAnswer: 1874800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7930, 15654, 23142, 30364, 37290, 43890?\nAnswer: 50134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -8*z + 7. Let x(h) = h - 46. Let k(l) = -6*q(l) - x(l). Let d(m) = -95*m - 7. What is -6*d(i) - 11*k(i)?\nAnswer: 53*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/25, 0.09, 1\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 9 = 0, 3*n + 66 = p + 4*p. Let z = p - -49. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.4246737 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 67 to the power of 1\/2, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/4 + (1 - (-204)\/16). Let k = -27 - -31. What is the first derivative of k - b - 10*w**4 - 6 - 9*w**4 wrt w?\nAnswer: -76*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**3 - 6*u + u**3 + 1 - 646*u**2 - 11 - 3 + 644*u**2 in the form c*u**3 + h*u + q*u**2 + o and give o.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y + 1127 = -693. What is the greatest common factor of 20 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000510208483 to 6 dps.\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 11*r = 13 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 314, 1242, 2788, 4952, 7734, 11134?\nAnswer: 15152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33401685, -33401686, -33401687, -33401688, -33401689?\nAnswer: -33401690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*191.\nAnswer: -2674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20.213 + 19.913. Which is the fourth smallest value? (a) -1\/2 (b) o (c) -0.2 (d) -0.06 (e) -17.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37049499 by 3.\nAnswer: 12349833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/30*-3)\/(28\/(-35))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 1\/6*d**3 + 0 - 3\/8*d**4 + 15*d**2 + 0*d. Let j(r) = 13*r - 1. Give 5*j(g) + 7*t(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*r - f, 2*f = 4*r + f - 12. Suppose 5*w - r = -4*i + 2, 37 = 5*i - 4*w. Suppose 17 = 4*h + i*d - 23, 3*h - 41 = -d. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 + 11048*x**2 - 77258*x + 110340.\nAnswer: -2*(x - 5517)*(x - 5)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4000393 to the nearest integer?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*k = 225, 82*u - k + 217 = 87*u. Calculate the remainder when u is divided by 2\/(2 + 32\/(-17)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -0.2\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 25. Let u = o - -11. Solve 0 = -4*s - s - 20, u*s - 9 = 5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2388.935 millimeters to meters.\nAnswer: 2.388935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -131a (base 14) to base 4\nAnswer: -310130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/14)\/((-4)\/14). Let r be (15*4\/(-4))\/w. Let m = r + 21. Solve -y - m = -2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence flwf when four letters picked without replacement from wfwfqflf.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 860496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -26 (b) -54 (c) -1 (d) -0.3 (e) 0 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) 46 (c) 2255\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 950947378 a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c**4\/9 - 3097342*c**3\/9 + 295004*c**2\/3 + 12389368*c\/9 - 3539824\/9 = 0 for c.\nAnswer: -221239, -2, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -57, 19, 167, 411, 775?\nAnswer: 1283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 229*f + 13*f**3 + 101*f**3 + 14*f + 110*f - 19*f wrt f?\nAnswer: 684*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 670, 34, 112 in increasing order.\nAnswer: -2, 34, 112, 670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**3 + o**2 + 3*o - 2. Let d(u) = 4*u**3 + 2*u - 2. Let k(f) = -5*b(f) + 6*d(f). What is k(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 9. Let x be 27\/18 - ((-15)\/(-4) - 2). What is the fourth smallest value in 2, -3, x, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 5. Suppose a = r + 4*r + 5. Let o be ((1 - 1) + r)*-19. Solve 8*x - 3*x - o = 4*s, -5*x - 4*s = -11 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -90*k*v**3 + 2*k*v**2 - 1645*k*v - 2*v**3 - 13*v**2 - v wrt v.\nAnswer: -540*k*v + 4*k - 12*v - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*g, -2*n + 10*g - 5*g + 7 = 0. Suppose 7 = 3*a + n. Let o(d) = 2*d + 4 + 2*d - 3. Let l(m) = 9*m + 3. Determine a*l(s) - 5*o(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 0*q**3 + 0 + 7*q**2 - 5\/24*q**4 + 6*q. Let i(t) = -4*t**2. Determine w(i(j)).\nAnswer: 20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j. Let g = 44 - 42. Let p(m) = -g*m + 4*m + m. Calculate p(n(u)).\nAnswer: 15*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*(-4 + 2*sqrt(1331))*4 - -3*(2 + 1 + sqrt(1331) + 1))**2.\nAnswer: -40040*sqrt(11) + 1633175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11977470 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, o: 1, s: 1}. Give prob of picking 1 o and 1 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -106, -115, -136, -175, -238, -331, -460, -631?\n\"Answer: -l**3 - 2*l - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 - -5 - (73 + -132 - (1 - 7))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 283, 638, 1135, 1774, 2555?\nAnswer: 3478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 2*d - 4. Suppose d*z = 2*p - p - 22, -p = 3*z - 7. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 4\/111 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277*x = 275*x - 5*j + 80, 4*j = 16. Solve 2*c + 2*c = 4*h - 16, x = -5*h - 5*c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200 divided by -21962.\nAnswer: 100\/10981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -178, -168, -158, -148, -138?\n\"Answer: 10*r - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxyxymqxx. Give prob of sequence xyx.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-8))\/((-59)\/(-6785)*20*18\/192).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52716 and 525441.\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*q + 151*q = -308*q - 226*q + 56896 for q.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8989 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 201361?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*h - 20*h + 5*x - 2409, -1656 = -2*h + 5*x. What is the remainder when h is divided by 182?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b + 9. Let x be q(-7). Suppose -22*o - 15 = -25*o. Suppose 123 - 48 = o*z. Solve 4 = t + p, -5*t - 2*p = x*p - z for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30.205 + 495.025. Let u = 474 - m. Let l = u - 8.2. What is l rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2, -2*r - 2 = -4*r - h. Solve r*n - 2 - 4 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*w + w + 5, 3 = 2*d - w. Let f = 9 - 9. Suppose f*g - 12 = -4*g. Solve 2*v - 6 = -2*t, -d*t - g*t - 3*v + 15 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/20 and 43\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*f - f - 3 = 0, -2*h + 6 = -2*f. What is the smallest common multiple of h and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 4*m**2 - 2*m + 2. Give g(-6).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - k = -2*k - 41, -31 = -2*u - 3*k. What is the remainder when (-6)\/(-21) - 542\/(-14) is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 8:54 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*((-1)\/2 - (2 + 1)). Is 38 a factor of (r\/3 + -4)*-114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -218550.23865 to zero decimal places.\nAnswer: -218550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11792448 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + 6*k - 4*k + 4*k - k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5377 = 24*t + 12*t + 5953 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 11. Suppose 0 = 9*s - c*s. Suppose 0 = -h + 7 - s. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/45)\/a)**(-31)*a\/(a*a**(2\/29))*a**(2\/7) assuming a is positive.\nAnswer: a**(272579\/9135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*j + 2*j - 4785 = 127*j + 2097 for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 - (-154 - -154).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2 + sqrt(19) + (sqrt(152) + (sqrt(152)*-1 + sqrt(152) - sqrt(152) - sqrt(152)))\/sqrt(8) - (5*sqrt(19)*2 - (sqrt(38)\/sqrt(2) + 2))))**2*3*4.\nAnswer: 73872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q - 1845 + 3*q + 2*q.\nAnswer: q - 1845","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**12)\/h**7)\/((h\/h**1)\/h*(h*h**(-1)*h)\/h))**(-21) assuming h is positive.\nAnswer: h**(-147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - x + 3, x + 0 + 1 = 0. Let l(w) be the first derivative of -1\/2*w**2 - 3\/4*w**o + 0*w + 4 + 0*w**3. What is the second derivative of l(i) wrt i?\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -h + 202. Let p(t) = -13*t**2 + 3*t - 10. Let s be p(2). Let c = s - h. Calculate the remainder when c is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 37*w**2 - 26*w + 81. Let t be p(-36). Let n = -257 - t. Calculate the remainder when 1*7*9 - -1 is divided by n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b - 5. Let v(l) = 26 - 63 + 32*l + 33 - 11*l. Let r(h) = 4*h - 1. Let w(y) = 11*r(y) - 2*v(y). What is 3*f(k) - 5*w(k)?\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -0.14, 5.\nAnswer: -0.7, -0.14, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 12) to base 9.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -90.4 to zero dps.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-55) - (-9)\/11. Let g = -44 - -77. Let q = g - 34. What is the smallest value in q, 3\/2, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 1. Let a(u) = 11638 + 4*u**2 - 12*u**2 - 11632. Suppose 2*o - 5*g + 30 = -7, -23 = 3*o - g. Determine o*h(r) - a(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -8*s**3 - 6*s**2 - 6*s + 27. Let m(d) = 15*d**3 + 11*d**2 + 11*d - 55. What is -11*l(r) - 6*m(r)?\nAnswer: -2*r**3 + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eessesseee. Give prob of sequence sss.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 16 (b) 1\/4 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 35\/3 + (-6)\/9. Suppose 12 = -14*v + l*v. What are the prime factors of (-18)\/v*2\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5286 - 3553. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**4 + b**4 - 2*b**4 + (4*b + b - 3*b)*(4*b - 2*b**3 - 4*b) + (-4*b + 4*b - 2*b)*(4 + 5 - 4)*(1 - 1 - 3*b**3).\nAnswer: 27*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) - (sqrt(76) + sqrt(76) + -1)**2 - (sqrt(19) + 3*sqrt(1539)).\nAnswer: -305 - 19*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-12))\/((-96)\/5760)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22480 + -22478. Factor 0 + 9\/5*m + 3*m**g + 1\/5*m**4 + 7\/5*m**3.\nAnswer: m*(m + 1)*(m + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 482*o**4 - 951*o**4 + 468*o**4 + 72*o - 2*o**2 - 2*o**3 - 1 to i*o**2 + t*o + m + s*o**4 + c*o**3 and give t.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*f + 895 - 42*f + 11*f + 9*f + 9*f to s + w*f and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -6. Let z(u) = 4*u + p*u - 9 + u. Is z(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 312277 and 3435047.\nAnswer: 3435047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 40*o**2 + 37*o - 128. Let u be r(-41). Let t be (-77)\/(-6) + (-4 - (-150)\/u). What is the greatest common factor of 1391 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1380385 divided by -276077\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3753105306 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 507 and 5850000.\nAnswer: 76050000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 + 93. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20.5 + 0.5. Let v = 288.1 + -269. Let t = v + l. What is t rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 19. Let x be (-288)\/420 + (-2)\/z. Suppose 2*j - 8 = -0*j. What is the third biggest value in x, j, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100 (base 2) to base 14.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + i = 18, 4*i = -3*a + 5 - 1. Suppose 4*l + 2*m - 3 = -11, a*l + m = -4. Are 9\/7 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1682\/171 + 1\/342. Find the common denominator of o and -89\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -66215, -66237, -66273, -66323, -66387?\n\"Answer: -7*d**2 - d - 66207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -315 + 342. Solve f = 2*c + 31 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2304 is divided by 253.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.3762683 to 0 dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -4. Suppose -5*d = -k*h + 2*h - 9, -3*h = 3*d + 9. What is the tens digit of (d - -15) + (-2)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.2 + -0.40019.\nAnswer: 15.79981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45920*p**2 - 4546084*p - 396.\nAnswer: -4*(p + 99)*(11480*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.08 (b) -5 (c) 350\/9 (d) 45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b**2 + 112*b + 1051. Calculate p(-7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1770 (base 13) in base 14?\nAnswer: 139d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o*o**(2\/7)*o)*o)**(-6\/19)*o\/(o\/o**(3\/17))*o**(-1\/10) assuming o is positive.\nAnswer: o**(10909\/22610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 3*o**2 - 6*o + 9. Let a be u(4). Suppose -f + 0*f = a. Put -5, f, 1\/7 in descending order.\nAnswer: 1\/7, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -7*o - 7. Let f(x) = -2*x + 27. Let h be f(12). Let z(c) = -55 - h*c - 54 + 106. What is 2*t(a) - 5*z(a)?\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 59 - 11 = 0. Solve 18 = 3*f + 3*h, 3*h = 3*f + 2*f - l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 26 + 8 = 0. Let i = 9 - p. Let c(f) = 4*f**2 + 2*f - 3. Let l be c(1). Solve i*g = -3 - l for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -230f - -50?\nAnswer: -22bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 12:55 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (13\/(-16)*4)\/((-2)\/(-8)). Let n = c + 52. Suppose 2*b = 5*b + s - 25, -s + n = 5*b. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4390909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + (sqrt(832) - ((sqrt(832) + -2 + sqrt(832))*3 + sqrt(832))))**2.\nAnswer: -480*sqrt(13) + 20836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {q: 1, w: 2, m: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -2. Let x(w) = -2*w**2 + 0 + w**2 + w + h. Suppose -17*y + 15 = -12*y. Calculate x(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**8\/2352 - p**7\/490 - p**6\/420 + p**5\/210 + p**4\/2 + 8*p. Let t(z) be the third derivative of k(z). Factor t(x).\nAnswer: -4*(x + 1)**2*(5*x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -272.07 - -272.18. What is the nearest to -2\/5 in -2\/5, p, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + w + 6 + 7, 4*w + 14 = -3*i. Let z(j) = -5*j - j**i - j**2 - 8 + 3*j**2. Let h be ((-33)\/(-22))\/((-15)\/(-70)). Calculate z(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 102 - 104. Let z be ((2\/3)\/j)\/(1\/2). Which is the third smallest value? (a) z (b) 5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*p + 58 = 0, 186 = 5*i - p - 128. Calculate the highest common factor of i and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/1476 and -5 - ((-42)\/(-7) + 178\/(-36)).\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2847*y - 2630*y + 5467*y.\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*n + 117 = -583. Suppose 2*q + 8 = 2*a, 0 = -3*q - 2*a + a + 4. Solve 5*w - n = -q*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1315\/2 - -657. Which is the second biggest value? (a) -1 (b) -3\/5 (c) t (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 29\nAnswer: -11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 48132 plus -8238?\nAnswer: 39894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**5 - 52208*h**4 + h**2 - 29005?\nAnswer: -120*h**2 - 1252992*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -820 = 12*n - 652 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-5))\/(2\/(8\/(-4)))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 9*j**2 - 5*j - 28. Determine m(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*u - 92 + 1044 + 1403 = 0 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.17 - 22033426600.\nAnswer: -22033426599.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.87 + 0.17. Let q = -5.3 + c. Let i be (-15)\/(-99) - (-2)\/11. Sort -0.3, q, i.\nAnswer: q, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {q: 1, w: 2, y: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, x: 2, j: 2, m: 3, d: 4}. Give prob of picking 2 m and 1 j.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 7*i**2 - 5. Suppose -2*l + 28 = 2*l. Let d be x(l). Let f(z) = -3. Let n(h) = h - 5. Give d*f(j) + 3*n(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 7, 0, 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.5 + 8. Let j = t + -3. Let m = 26 + -26.1. Sort 1\/9, m, j.\nAnswer: j, m, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-60)\/(-14) + (-6)\/21. Let k = -776 - -771. Which is the second smallest value? (a) x (b) -0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jxjj when four letters picked without replacement from {j: 3, x: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -86 + 84. Which is smaller: w or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62 * -12\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + -2 - 1046\/(-350). Let x = d - -207\/2800. Is x >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a century in months?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -17. Let n be (c\/12058)\/((-1)\/2). Let k = n + 150711\/42203. Calculate the common denominator of -11\/13 and k.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11.5 in 3\/4, -18, 0.4, -2\/75?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 71717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 8*x**2 + 12*x - 14. Let p be o(-4). Find the second derivative of -12*k + 0*k - k - 4*k - p - 61*k**3 - k wrt k.\nAnswer: -366*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*y**4 + 37184*y**2 - 113301*y?\nAnswer: 96*y**2 + 74368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + 75. Let w = -311 - o. Let c = w + 417.99105. Round c to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17717406, -35434822, -53152238, -70869654, -88587070?\n\"Answer: -17717416*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2 + 50*c + 9. Determine a(27).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 14*h**2 - 15*h. Let a be z(15). Suppose a*j = -j + 2. What is the remainder when 9 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -a25749a?\nAnswer: a25749a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 130 = 138. Let u be (-4)\/((-16)\/(-12))*z\/30. Sort -1\/4, 4, u.\nAnswer: -1\/4, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6 = -3*r - 3, -m - 3*r - 15 = 0. Let y be (-1066 + m + 0)*-1. Let n = y + -2179. What is n rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0961 and 0.2.\nAnswer: 0.1039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110011 + 100100000100?\nAnswer: 101010110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ikkzklzzkliz. Give prob of sequence zzkz.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.3 (b) -45678 (c) -1\/16 (d) 1\/5 (e) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 5, d: 1, u: 4}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -264, -422, -688, -1062, -1544, -2134?\nAnswer: -2832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -12. What is the nearest to 0 in -0.3, -3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6158565.74999935 - 6158566. Let k = a - -0.25. What is k rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -2. Let n = -1 - -2. Suppose -17 = 4*s - 5. What is the nearest to r in s, -5\/4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1\/4, 107, 1\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -65 + -62929?\nAnswer: -62994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = j + 2*t, -3*j + 51 = -3*t. Let k = -9 + j. Solve -2 = 4*i - 3*b, -4*i - k*b = -0*b + 14 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -1641*b - 9849. Let y be v(-6). Sort y, -2, 8, 98 in decreasing order.\nAnswer: 98, 8, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 744.8247 grams to micrograms.\nAnswer: 744824700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**3 - 2*v**2 - 3*v - 2. Let a(z) = -z**2 + 6*z + 5. Let b be a(6). Let o = 3 - b. List the prime factors of w(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (2 - (-8 - -1)) + (23 - 16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h. Let v(u) = 3*u**3 + 11*u. Let z(s) = s**3 + 4*s. Let o(r) = 4*v(r) - 9*z(r). Give -o(c) + 6*x(c).\nAnswer: -3*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 - 3*a**3 - 62*a**2 - 96*a + 160.\nAnswer: (a - 10)*(a - 1)*(a + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 969688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 11, x: 2, q: 2}. Give prob of sequence nn.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 8*c - 28. Let y be b(3). Let q be 6\/y*(-16)\/488. Which is bigger: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5098*n**2 - 5558 wrt n?\nAnswer: 10196*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5912.\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 9, h: 3, n: 2, y: 5}. Give prob of picking 2 y.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40540, 40579, 40630, 40687, 40744?\nAnswer: 40795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-15) - 148\/(-5). Let k be (-386)\/(-30) - 110\/(-825). Suppose -2809 = -k*u + 311. What is the highest common factor of u and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -734*c + 737*c + 0*c**3 - 3*c**3 + c**3 - 41*c**4 as u*c**4 + d*c**2 + q + l*c + y*c**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19293 is divided by 262?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (36\/630)\/(1\/28). Let t = 0.2 + 0.3. Which is the nearest to 2? (a) w (b) t (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007857850423 rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 31 - 0?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*g + 26509 = 325*g + 15*g for g.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*r - 135 = -2*n, -5*n - 3*r + 310 = 0. Let f = n + -44. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 11*c + 97. What are the prime factors of p(0)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 41, 86, 149, 230?\nAnswer: 329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + t - 7 = 0, 3*t = -3*d - 2 - 1. Let g be (0 - (-6)\/9)*3. Suppose 18*b - 16*b - 2 = 4*y, b + 2*y - 5 = 0. Solve -g = -b*k + d for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 727 is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 846 and 188?\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 164*m**2 - 798*m + 467. Calculate h(159).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*l - 930 = 1806 - 36 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 73, 64, 49, 28, 1, -32, -71?\n\"Answer: -3*l**2 + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5 = 0, 0 = -3*w - 5*t + 7 + 9. Let d(i) = 8*i. Let n(f) be the first derivative of -8 + 17\/2*f**2 + 0*f. Calculate w*d(a) - 3*n(a).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 2*y + 2. Let g be (-9)\/(-12)*(-9)\/((-81)\/12). Let f(q) = -q**2 + q - 1. Calculate g*k(i) + 2*f(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2512 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 9*t**2 + 8*t - 12. What is the smallest common multiple of w(-10) and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -2. Let r be (-320)\/(-14) + h\/28. Let s = 46 - r. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2019*t - 72934 = 339*t - 365326 for t.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -49*h. Let k be m(-3). Let o = k - 116. Suppose y = 3, -b - 8*y = -3*y - o. Are b and 14 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6 - 8) + 4 - -17) + (-5 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14400 - 10143?\nAnswer: 4202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4776?\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*x + 12, 5*x - 3*n = 2*x + 12. Let y be (-21 + 23)*(148 - x). What is the greatest common divisor of y and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 32.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1120\/18203 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -67662 + -2?\nAnswer: -67664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 5*k - 7 - 0, -3*k - 2*b = -13. Let o(u) = 3 + 9*u - k. Let a(w) be the third derivative of 5*w**4\/24 + 14500*w**2 - 2*w. Determine o(a(s)).\nAnswer: 45*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from tytyyytyyttt?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 7*o**2 + 15*o - 20. Let r be f(5). Let c = 1506 + -1509. Put r, c, -2, 4 in increasing order.\nAnswer: c, -2, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1302, 1453, 1720, 2109, 2626, 3277, 4068?\n\"Answer: a**3 + 52*a**2 - 12*a + 1261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a**2 - 2*a**2 + a**2)*(44 + 53 + 13) to the form s*a**2 + u*a + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16.9 + -17.9. Which is the nearest to p? (a) 2 (b) -2 (c) 0.3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - c = 2 - 1, 0 = 5*y + c - 9. Let x = 976\/77 + -141\/11. Which is greater: y or x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-4)\/(-6) + 170\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 261\/16 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 + -52. What are the prime factors of r\/((-250)\/762 + 18\/54)?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (152\/(-12))\/(524\/(-393))*4?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(2 + -1 + 2). Let k be d\/(-2)*-4 - 1. Let j = -4 - -6. Which is the third biggest value? (a) -1 (b) k (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1163?\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 8*j + 4. Let x = 0 - -6. Calculate the remainder when (1 - -2 - -27) + 1 is divided by z(x).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (-14 + 47 - 14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebrrgrregrarrtagag. What is prob of sequence gagt?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 9, -1, 0 in ascending order.\nAnswer: -2, -1, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/2)*i)\/i*i**(-4))**(-42) assuming i is positive.\nAnswer: i**189","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -0.08, 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (25\/(-100))\/((-3)\/(-1))\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**4\/5 + 37018*b**3\/5 - 140516*b**2 - 147920*b = 0 for b.\nAnswer: -1, 0, 20, 18490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46788 or 46803?\nAnswer: 46788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hsso when four letters picked without replacement from {s: 3, h: 3, c: 2, o: 5}?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 8*q**2 - 6*q - 2. Let h(i) = i**2 + 9*i + 5. Let v be h(7). Suppose 118*o = v*o - 7. Give w(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 127624571 and 214.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 24820.\nAnswer: -2\/6205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*v + 124*v - 5*v + 76*v + (4 + 3*v - 4)*(0 + 4 - 3) in the form c + t*v and give t.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7667*i - 10*i**2 - 1 + 1 - 7669*i.\nAnswer: -10*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1233 divide 863779845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-240)\/(0 + -5) - 16. Solve -10*i = -48 - q for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/7*j**3 - 4\/7*j**2 + 0 + 2\/7*j = 0. What is j?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*-1*(6 - 4). Sort c, -5, 0, 5 in decreasing order.\nAnswer: 5, 0, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 181752198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/35, -2, -0.7?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 0. Let q = -2.5 - -2. Sort -2, y, q in descending order.\nAnswer: y, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 141 = 67. Let g = -48 - y. Suppose r + 4 = 0, a + 4*r = 5*r + g. Solve a = -2*m - 6 - 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**4 + 0*h**4 + 0*h**4 + (3*h + h**2 - 3*h)*(4*h**2 + 3*h**2 - 5*h**2) + (-4 + 4 + h**2)*(-h**2 - 4*h**2 + 2*h**2) + 0*h**4 - 5*h**4 + h**4.\nAnswer: -6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 480 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 144 + -140. Suppose 0 = n + 4*m - u - 5, -m + 21 = 4*n. Solve n*l = 7*l + 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uoj when three letters picked without replacement from {s: 2, o: 4, u: 2, j: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -505*m + 493*m = 60. Let l(p) = -p**3 - 5*p**2 - 4*p - 6. Determine l(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33332 - 144?\nAnswer: 33133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/9 in -4, 5\/4, -495?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 - 33. Suppose -5*n + 53 = u, u = 3*n - v*n + 41. What is the remainder when u is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*v - 2 = 7, -4*l - 5*v = -1. Let a(f) = -15*f - 1. What is a(l)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 74*y**2 - 3*y - 74 wrt y.\nAnswer: 148*y - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.18130261 and 1613303?\nAnswer: 1613302.81869739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -142011147 - -96571147. Round l to the nearest one million.\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**3 + 5*v**2 + 2*v - 5. Suppose -19 = -7*o - 33. Let q(j) = -11*j**3 + j + 23*j**3 + 2*j**2 - 2 - 11*j**3. Calculate o*k(a) + 5*q(a).\nAnswer: -a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/3 - -52)\/(-2). Calculate the remainder when 18 is divided by (-170)\/p + (-1)\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39.46 + 0.54. Let z = -39.99906 + k. What is z rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 6704 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 6:48 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 444553.1ng?\nAnswer: 0.0000004445531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2 - -6)\/(4 + 628\/(-158))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 0*s**6 - 22*s**2 + 0*s**5 + 0*s + 0*s**4 - 2 - 3\/10*s**7 + 16\/3*s**3. What is the first derivative of a(b) wrt b?\nAnswer: -252*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20664645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(340)\/(sqrt(10)*-2 + sqrt(10)))\/(sqrt(128) - (sqrt(128)*-2 - sqrt(128))).\nAnswer: -sqrt(17)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (147608\/(-36))\/(-2) - 1. Let o = 2046 - f. What is the common denominator of o and -42\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47283*w**5 + w**3 - 26*w**2 + 317?\nAnswer: -2836980*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -20356346.\nAnswer: 9\/20356346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 8) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 6 = -2. Let g = j + -2. Solve -34 + 4 = b + 5*h, g = -4*b + 4*h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25054 - 103001?\nAnswer: -44614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*q + 6*q + 21 = 0, 4*q = 2*l - 10. Solve -2*g + 3 = l for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o + 33. Let i(s) be the third derivative of -s**5\/10 + 5203*s**2. Determine i(x(a)).\nAnswer: -150*a**2 + 1980*a - 6534","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 93589981 a multiple of 1992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2040746489?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/59 (b) -3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 331 - 261. Calculate the greatest common divisor of i and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -118*k*m**2 + 17*k - 16176*m**2 + 2 wrt k?\nAnswer: -118*m**2 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*n + 4. Suppose 2 = -5*q - 3. Let c be ((-2)\/6)\/((-10)\/90). Put q, c, n in increasing order.\nAnswer: q, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -46, -1\/36344, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 99, -1, -2 in descending order.\nAnswer: 99, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*v + 59*v = 1650. Suppose 5*p = k + v, -7*p + 11*p - k = 43. Solve -5*r + 19 = -q + 5*q, 4*r = p for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 9, 33, 69, 117?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5845.94827 minus -6?\nAnswer: -5839.94827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/15 (b) -0.4 (c) -1 (d) 2 (e) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4 + 0*l + 20*l - 17*l - 6*l**2 + l**3. Suppose z + 0*z = 5. Suppose -z*g - c = -24, -c = g + g - 9. Give q(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**5\/140 + k**4\/21 - 2*k**3\/21 + 10*k**2. Factor o(c).\nAnswer: -(c - 2)*(3*c - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 7:06 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/2*(4 - 63\/14). Suppose 4*l + h = 5*l. Suppose -l*n + 210 = 32. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wiwuwwwwwwuiuwiuwwww. Give prob of picking 3 w and 1 i.\nAnswer: 286\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -274723 - -3567086\/13. Suppose 2*x + 1002 = -x - 3*d, d = -3*x - 998. Let p = l - x. Is 1 less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-531)\/444 - -1) + -3*12\/666\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -8*o + 7. Let i(d) = -5*d + 6. Let f(k) = -3*i(k) + 2*n(k). Determine f(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of r**2\/2 + 43*r - 1. Let a(n) = -n**2 + n + 2. Let j be a(2). What is the tens digit of l(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2400.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 147260 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8575 and 16597770.\nAnswer: 1715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -206 (base 9) in base 8?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5\/3 - h**4 - 37*h**3\/3 - 29*h**2\/3 + 12*h + 32\/3 = 0. Calculate h.\nAnswer: -4, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3 (b) -4\/5 (c) -65.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 18\/27*-1*-3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*o + 3*o - 70*o - o + 22*o to i + v*o and give v.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 10*b**3 + 61*b**2 + 7*b + 43. Let x(q) = -6*q**3 - 31*q**2 - 4*q - 21. Let r(g) = 4*t(g) + 7*x(g). Differentiate r(l) with respect to l.\nAnswer: -6*l**2 + 54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in -7.3225, 8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -2. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36464799353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 199*g + 974. Let s be j(-5). Sort -5, s, -3, 38, 5 in ascending order.\nAnswer: -5, -3, s, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(28)\/sqrt(2))\/(sqrt(378)\/sqrt(6)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**2 + 6*u**2 - 8 - 2*u**2 + 0*u**2 - 10*u. Let a be z(11). Solve -1 + a = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -33*o - 6. Let c(n) = -1023*n - 187. Calculate -6*c(d) + 187*x(d).\nAnswer: -33*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 9*k - 4 + 17*k + 5 - 30. Let j be x(7). Suppose 5*t = 6*t - 20. What is the greatest common divisor of j and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -520*u = -517*u + 11*q + 40, -5*u + 45 = -4*q for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 6 = 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 163 + -73. Let m = 7 + -2. Suppose 0*l = m*l - i. What is the least common multiple of 22 and l?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-80)\/(-36))\/(-5))\/(36\/162).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 981.1704 litres to millilitres.\nAnswer: 981170.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-8) + 2668\/16 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/24*((-9)\/(-6))\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*s + 30 = 0, -5*s + 8*s - 65 = -4*p. Solve -4*a = 2*k + 16, -34*a + 32*a - 4*k = p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-20) + (-25)\/(-116). Suppose -2*f + 3*m + 0*m = 7, 3*m - 9 = 0. Which is smaller: p or f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.404 and -163?\nAnswer: -65.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45035882.\nAnswer: 2, 37, 608593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 107*p + 189. Let w(v) = 270407 - 270407 + v. Let t(r) = -a(r) + 3*w(r). Differentiate t(k) wrt k.\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 0 (b) 16 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9790078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 0*y - 35. What is the highest common divisor of y and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4.26 and -5.\nAnswer: -9.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 130, 822, 2714, 6412, 12522, 21650, 34402, 51384?\n\"Answer: 101*z**3 - 6*z**2 + 3*z + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46518934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2042457, 4084899, 6127353, 8169825, 10212321, 12254847, 14297409, 16340013?\nAnswer: 18382665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 8*f - 12 = 0, -u = -34*f + 37*f - 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*(-4*(-15)\/10 + -2). Solve 0*l - 5*l - w = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29799 divided by -387\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x. What is d(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 12:51 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 12:57 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*a**3*r**3 + 4*a**3*r**2 - a**3*r - 74*a*r**3 - 834*a*r**2 - 3*r**4 - r**3 - 4*r**2 wrt r.\nAnswer: -174*a**3 - 444*a - 72*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1171 = 753*x - 18407 for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 + 472 = -71*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - f. Let l(c) = -8*c**3 - 6*c. Suppose -2*m + 20*m = -18. Calculate m*l(j) + 6*h(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 8*u - 33. Suppose s - 3*p + p - u = 0, -2 = 2*s + 2*p. Let r(h) = 1 + h**s - 2*h - 8*h**2 + 4 + 9*h. What is r(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -228*r - 23 + 6 + 5 + 12 to the form o + g*r and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/272 and -3 - (-2)\/(272\/236).\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + r + 59997 = 0, i = 5*r + 4878 - 19893. Round i to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -10*k - 282. Let r(o) = -20*o - 565. Let t(l) = -3*r(l) + 5*z(l). Let j be t(-17). What is the highest common factor of 5 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, p: 9}. What is prob of sequence pjpj?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1606 - 2970 = -176*b for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 148907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(2 - (-18)\/(-3)). Suppose 8*i - 4*i = o. Let y(t) = 8 - 8 + 8*t**i. Let k(w) = -2*w**2. Determine k(y(m)).\nAnswer: -128*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 34 - 11 = 0. Let u be 2\/6 - 15\/l. Solve u*n - 6*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 - -48. Let n be (2 - 0)*(3 - 2). Suppose 2*y + 10 = -y - 5*t, -n*y = -2*t - 4. Solve k*o = -y*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45250175 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 53687383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.083424us?\nAnswer: 0.000083424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 10 = 3*i, -9*d + i - 20 = -5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 65 (b) 5 (c) 2 (d) 34\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 463720 to the nearest integer?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 0 - (-18 - 2 - -11)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11577 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**3\/7 - 176822*g**2\/7 + 5656768*g\/7 - 45250048\/7 = 0.\nAnswer: 16, 88379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or -13844862?\nAnswer: -13844862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + h = 4, 5*y - 6*y = 5*h - 11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 641, 706, 815, 968?\n\"Answer: 22*g**2 - g + 620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, -0.3, 10.6, -0.5, -3\/28, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1068124588 is divided by 117.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22088 + -22079. Suppose -4*w + 771 - 207 = 0. What is the remainder when w is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 4:21 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 4:59 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2546 or 2619?\nAnswer: 2546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*q*s**4 - 2*q*s**3 - q*s**2 - 8*s**4 + 134*s**2 wrt s?\nAnswer: 72*q*s - 12*q - 192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1869389\/206 less than 9075?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -11*v**9\/84 + v**6\/120 - 2*v**5\/3 + 147*v**2 + 2. What is the third derivative of g(z) wrt z?\nAnswer: -7920*z**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 + -85. Let f = -0.1537 - 16.9313. Let j = f - n. What is j rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 332822.9 nanometers to centimeters.\nAnswer: 0.03328229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-680)\/24 + (-1)\/(-3). Let w = t - -57. Calculate the greatest common divisor of w and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297477561.\nAnswer: 3, 23, 83, 127, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**3 + n**2 - 3*n**2 - n**2 + 4 - 2. What is the least common multiple of 22 and d(2)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r**3 + 9*r**2 - 3 - 19*r**2 + 3*r**3 - 2*r + 10*r. Let v be f(-11). Solve -2*q = -5*n - 13 - 6, 0 = -3*n - 5*q - v for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 329\/1862 - (205\/910 - 230\/1495)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + -5 + 35 - (12 - 16)) + 8?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -37030, -75638, -114246, -152854?\n\"Answer: -38608*t + 1578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.9 (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22136*r**2 - 4*r + 971 wrt r.\nAnswer: -44272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 52*t + 418. What is the tens digit of x(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j**3 - 3*j**2 - j + 3. Let u = 22 - 18. Let m(w) = -u*w**3 - 6*w + 12*w - 17 + 17*w**2 + 27*w**3. What is -34*d(g) - 6*m(g)?\nAnswer: -2*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19712 and 4048.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**4 - k**4 - k**4)*(0*k - 2*k + 4*k) + 3 - 2*k**5 - 3 + 15*k**5 + 0*k**3 + 5*k**5 - k**3.\nAnswer: 16*k**5 - k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -370255 divided by 7.\nAnswer: -370255\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -989 + 986. Let g = -0.03 - -4.03. Let f = g - 3.7. Is f equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9471 = 45*q + 9561 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.91 centuries to months.\nAnswer: 69492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/2343 and -43\/47883.\nAnswer: 3399693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/5 - 32*i**2\/5 - 82*i\/5 - 52\/5.\nAnswer: -2*(i + 1)*(i + 2)*(i + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 1. Let s(b) = 4*b**2 + 3. Let f(u) = 6*i(u) + 2*s(u). Let d(m) = 7*m**2 - 3*m. Give f(d(g)).\nAnswer: 98*g**4 - 84*g**3 + 18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 491974 and 16.\nAnswer: 3935792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 6*r**2 - 1. Let d(l) = 6*l**3 - 29*l**2 - 6. Calculate 2*d(i) - 11*u(i).\nAnswer: i**3 + 8*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 470 and 466 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 66520236\/5 smaller than 13304048?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 60704.\nAnswer: 182112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 u when three letters picked without replacement from wtwuupwtstwtuwswwst.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -214 - -217. Suppose -p - b*d = -374, p = 2*d - 148 + 542. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1333331 - 1?\nAnswer: 1333330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -42. Let p = -13 - k. Let w be 0\/(1 + -3 + 4). Which is the closest to p? (a) -1 (b) w (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 124 - -160. Suppose 24 + j = 11*d. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**4 + m**4 - 4*m**4)*(156*m - 93*m - 98*m).\nAnswer: 35*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 4:37 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 22 = -18. Suppose t + 3*t - 2*g = 28, 0 = -2*t + 4*g + h. What is the highest common divisor of 8 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 + 21. Let b = -0.153 - 0.047. Put 0.3, b, x in ascending order.\nAnswer: x, b, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 + (-9 - 3) - 59?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 2*g - 2*g)*((-5*g - 2*g + 2*g)*(0*g + 4*g - 5*g) - g**2 + 0*g**2 + 3*g**2).\nAnswer: -14*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3358332*r**2 + 4*r + 33439 wrt r?\nAnswer: -6716664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 - 2*c**2 + 6 + 5*c**2. Let z be p(0). Let b be (-2 - (-16)\/z) + -1. Which is smaller: b or 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**2 + 2. Let r(l) = -53*l**2 + 18*l**2 + 16*l**2 + 18*l**2. Calculate r(w(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*h - 2*h + z, 4*z + 16 = -2*h. Is (76\/(-12))\/(h\/42) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -7.56.\nAnswer: -1.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzyyxxxxyzyyyyxyxx. Give prob of sequence yzx.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -580, -1161, -1734, -2293, -2832?\n\"Answer: p**3 - 2*p**2 - 582*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/59075 at least as big as 0.19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -4*j - 15. Let r(h) be the second derivative of -4\/3*h**j - 3\/2*h**2 + 0 - 6*h. Determine r(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 + 61. What is the highest common factor of 33 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + sqrt(243) + 2)**2*6.\nAnswer: 432*sqrt(3) + 1554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(20\/(-16))\/(10\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 572 is divided by 92.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -244 + 243.9. Which is the biggest value? (a) -0.4 (b) m (c) 0 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 0 + 2 + 293*o**2.\nAnswer: 293*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 13*i - 3. Let d(z) = -9*z + 2. Suppose 6 = -3*l, 0 = 2*y - 5*l - 18 + 4. Let q be y + 1 + -2 + 4. Suppose 30 + q = -5*v. Give v*d(n) - 5*c(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -540*w - 54. Is a(-3) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.07 - 0.07. What is the biggest value in 2\/7, 0, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 11*y**3 - 10*y**2 - 25*y - 14. Give p(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -995 - -994.98. Which is the third smallest value? (a) 1.3 (b) p (c) -5 (d) -0.5 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s - 4 - 48 - 2*s - 105*s**2 + 106*s**2. Let q be c(8). Solve 0 - 3\/2*g**2 - g**3 + 1\/2*g**q + 0*g = 0 for g.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -168*a**2*c*z - 18036*a**2*z + 2*a**2 - 579960*a*c with respect to z.\nAnswer: -168*a**2*c - 18036*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10922.79 - 10851. Round k to the nearest integer.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -1\/180*p**5 + 0*p - 8\/9*p**3 + 1\/9*p**4 + 0 + p**2. Determine q, given that i(q) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 21*n**2 - n. Let m(l) = 13*l**2 + 78*l + 122. What is the remainder when h(1) is divided by m(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -59*z**2 + 10*z - 9. Let b(v) = 58*v**2 - 9*v + 8. Let y(p) = 6*b(p) + 5*r(p). Is y(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiiiifiiiifii. What is prob of sequence if?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 0 + u**3 - 1\/2*u**4 + 4*u**2 = 0 for u.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 2*c**2 + 5*c**2 - 4*c**2 + c - 307 - 928 to the form w + v*c**2 + g*c and give w.\nAnswer: -1226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 89 - 54. Let d(q) be the first derivative of -17*q**2 - 14*q - 9 - 25*q**2 + s*q**2. Let z(m) = -m - 1. Determine -d(c) + 12*z(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*o + 16 = 290*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, x: 1, g: 2, y: 1}. What is prob of picking 1 x, 2 p, and 1 g?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7591 and 3.\nAnswer: 22773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -8*r - 50. Let y = r + -24. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 14 = -o, 0 = o + 3*o + 2*h - 16. Let b be (o - 3 - -1)\/1. Suppose b*u = 2*u - 4. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3478 and 851?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*v + 47*v = -42*v + 50 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13378 + 74707 = -1115*t for t.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**3 + 22*z**2 + 3*z + 488. What is l(0)?\nAnswer: 488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 8 - (-23 + 26)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (3 - 2) - (14 - 12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**3 + 27*r**2 - 19*r - 11. Suppose -3*c - 10 = -5*m - 92, -5*c + 76 = -4*m. Let z be s(m). Differentiate z*d - 14*d**2 - 59*d - 21 wrt d.\nAnswer: -28*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1326f - -16?\nAnswer: 13285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50 - 43) + -39 + 83?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1729 - 0.0729. Let y = -2.919 + 0.019. Let l = y - d. What is the third biggest value in -5, -2\/9, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 - 41. Let y be g\/(-11) - (-2)\/(-11). Let m = 1 - 1. What is the second biggest value in m, -2\/9, y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251.99 less than 9432.2?\nAnswer: 9180.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from agqiittwtiiwiiiaiwgw. What is prob of picking 1 t and 2 w?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(5\/6)*a*a*a*a)\/a**(1\/14))\/((a*a**(-1\/8))\/(a*a**(-1)\/a)) assuming a is positive.\nAnswer: a**(653\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35550 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000435 rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.08 + -3.92. Let j(l) = -l - 14. Let u be j(-17). Suppose k + 3 = 0, -k + u*k + 30 = -4*o. Sort n, o, -1\/5 in decreasing order.\nAnswer: -1\/5, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-1) + 137 + -25. Let s = 0 - 0. Suppose s*i = -2*i + j. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x + 18*x = 11. Is 11 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -518 = -2*o + 4*p, -7*o + 253 = -6*o + p. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -95*r**4 - 12*r**3*w + 3*r*w + 93*r - 17*w + 1 wrt r.\nAnswer: -1140*r**2 - 72*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -10*j**2 - 35. Let s(o) = 7*o**2 + 25. Let m(x) = -7*s(x) - 5*w(x). Let d = 4 - 4. Let z(q) = 0*q + d*q - 4*q**2. Calculate z(m(n)).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -26. Let u be ((-1)\/k)\/(-6 + 22\/4). Let m(t) = 3 - 5*t**2 - t**2 - 4*t + 7*t**u + t**3. Determine m(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -5, -271 in descending order.\nAnswer: -3, -4, -5, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/4))**(-8)*(l**(-5))**33 assuming l is positive.\nAnswer: l**(-167)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0*r - 42. Let s = 87 + r. Let t be 40\/s*6 + 2\/3. Which is smaller: 4 or t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 102121, 204249, 306379, 408511, 510645?\n\"Answer: i**2 + 102125*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 5*n + 3. Let s be k(3). Let z be s\/6*8*1\/2. Let j be (-1)\/z*-8 - -114. What is the greatest common factor of 20 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 z when two letters picked without replacement from {o: 3, f: 2, p: 2, z: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -4. Let l = q - 8. Let k(z) = z**2 - 8*z - 81. Let y be k(14). Solve -l + 3 = -3*c + 2*h, 0 = -4*c + y*h + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from glppppgpgppgp. Give prob of picking 4 g.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -371\/4 - -22623\/244. Is -0.2 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 6:18 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((690\/(-41745))\/((-4)\/(-66)))\/(1\/10*3).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.1, -3, -1.3, 3\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*2 + (-4693)\/(-19). Calculate the greatest common divisor of j and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1181 - -1936. List the prime factors of v.\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 683*y**3 + 18*y**2 - 15*y - 2. Let o(r) = 854*r**3 + 19*r**2 - 16*r - 1. Let x(q) = -5*k(q) + 4*o(q). What is x(13)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16044925*s**4 + 2564421.\nAnswer: 64179700*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.82982 to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*m = -744. Let u = 4 + m. What is the units digit of (u\/(-50))\/((-1)\/(-40))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 668.3135 rounded to zero dps?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 4:18 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(12) - (sqrt(75) - (-1*sqrt(75))**2)) + -1 + (sqrt(18) + ((sqrt(90)*1)\/sqrt(5) - sqrt(18) - sqrt(18)) + sqrt(18) + sqrt(18))\/(sqrt(24)*-6).\nAnswer: -19*sqrt(3)\/6 + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -180 - -267. What are the prime factors of y?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 2*s + 30 = 0, 26*n - 6*s = 49*n - 19*n - 11*s - 121 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, q: 3, k: 2, y: 2}. What is prob of sequence qqqn?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g = -48*g + 863 + 47 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15 + 4742?\nAnswer: 472a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -73f (base 16) to base 7.\nAnswer: -5260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/3*0\/(-5). Suppose m = -2*b - 2*z - 2, 0*b + 5*b = -2*z + 7. Suppose -4*d - b*d = -252. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {k: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 650\/(-150) - (-2)\/(-3). What is the biggest value in 4\/5, z, -5\/8?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**7\/252 + 17*n**6\/720 + 2*n**5\/45 + n**4\/36 + 10*n**2. Factor z(s).\nAnswer: s*(s + 1)*(s + 2)*(5*s + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 515*j**3 - 1585*j wrt j.\nAnswer: 3090*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**5\/60 - k**4\/12 - k**3\/6 + 4*k**2. Solve m(a) = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1972\/(-60) - (((-36)\/(-21))\/(180\/224) + -2)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 311167 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -762 = -9*d + 6*d. List the prime factors of d.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 644437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1431, -1438, -1447, -1458, -1471, -1486, -1503?\n\"Answer: -l**2 - 4*l - 1426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18563 is divided by (-306)\/(-255)*5*17?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32742 by 1926.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -14*b**3 - 24*b**2 - 3*b + 7. Let k(p) = -42*p**3 - 72*p**2 - 10*p + 20. Let y(u) = -3*k(u) + 8*s(u). Let y(m) = 0. Calculate m.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**2 + 5*b - 28. Let y be a(-4). Let o(g) be the first derivative of -9\/5*g**5 + y*g**2 + 0*g + 3\/4*g**4 - 2*g**6 + 10 + 0*g**3. Factor o(r).\nAnswer: -3*r**3*(r + 1)*(4*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((((-2 + sqrt(7) - sqrt(7)) + -5)*-3 - (1 + sqrt(252) + -3)) + -3)*5.\nAnswer: -60*sqrt(7) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times -313739?\nAnswer: 15686.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-21)*((-6)\/4)\/(8\/112)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 (base 14) in base 7?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p - 6. Give i(11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1880759 a multiple of 513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(1\/((-14)\/(-6))). Suppose 27 = n + r. Suppose 0 = -d - i - 2*i + 1, -2*d + 12 = -4*i. Calculate the greatest common divisor of n and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/9, 0.101, -0.05, 0, -2\/7, -0.5?\nAnswer: 0.101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 4*u**2 + 10*u - 10. Let b be w(-6). Solve -3*h - 2 = -a + b, -4*a + 7 = -3*h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - z - 3)*(-4 - 2 + 3)*(-z**2 + 0*z**2 + 3*z**2).\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, q: 2}. Give prob of sequence qqe.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.32785 to three dps.\nAnswer: 0.328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((5 - 8\/1) + 6)*1. Suppose 4*s - 346 = -4*m + 918, 3*s = t*m + 966. What is the highest common factor of s and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 635.2399um?\nAnswer: 0.06352399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 1466\nAnswer: -7\/733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 50360318869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 b when two letters picked without replacement from {s: 1, q: 1, y: 1, e: 1, n: 1, b: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 162*d**3*v**2 - 34*d**3*v - 2*d**2*v**2 + 3583*d**2*v + d*v**2 wrt d?\nAnswer: 972*v**2 - 204*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 835*n**4 + 3805*n**3 + 17*n**2 - 2*n - 254739349.\nAnswer: 10020*n**2 + 22830*n + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 154416960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -128393.5 * -10.85\nAnswer: 1393069.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 48, 50, 56, 66, 80?\n\"Answer: 2*s**2 - 4*s + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**6\/15 - 18*a**5\/5 + 122*a**4\/3 + 480*a**3 + 1600*a**2 + 2*a - 5. Find i, given that t(i) = 0.\nAnswer: -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3778*z**2 + 23398*z**2 - 4632*z**2 as w*z**2 + j*z + t and give w.\nAnswer: 22544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000028118 rounded to seven decimal places?\nAnswer: -0.0000281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 3. Let r = 4 + p. Which is smaller: r or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16689249 divided by -591.\nAnswer: -28239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3\/4, 35 in descending order.\nAnswer: 35, 3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 228444?\nAnswer: -228450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -402, -396, -388, -378, -366, -352, -336?\n\"Answer: t**2 + 3*t - 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = w - 8. Let u(o) = 0 + 4*o + 2*o - 8*o - w. Let f(p) = p**2 - 7*p - 7. Let m(b) = -2*f(b) + 7*u(b). Let c(k) = 10*k**2. Calculate c(m(s)).\nAnswer: 40*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 74475367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/18))**(-23\/4)\/(l**(1\/4)*l*l\/(l**(-21\/2)\/l)*l) assuming l is positive.\nAnswer: l**(-1453\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 3*h**3 + 8*h. Let y(i) = i + 2. Let r(b) = 1. Let j(t) = -2*r(t) + y(t). Calculate j(m(o)).\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 123175 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 979249, 979280, 979311?\n\"Answer: 31*w + 979218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73617714 by -1363291.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3719 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2213, -4427, -6641, -8855, -11069?\nAnswer: -13283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 + 30. Suppose -3*f + 5*j + 23 = 0, 0 = k*f - 0*j + 5*j - 25. Calculate the greatest common factor of f and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -z**3\/3 - z**2 + 3*z - 1. Let x be (-6)\/(-7*(-2)\/2)*-21. Let h = -22 + x. Determine w(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1857723132?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -8, -0.05, 0.0111 in decreasing order.\nAnswer: 4, 0.0111, -0.05, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-4))\/((-4)\/16). Factor -5*f**3 - 3*f - z*f**4 - 4*f**3 - f**2 - 8*f**2.\nAnswer: -3*f*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1644585 divided by -5?\nAnswer: 328917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.845557 nanograms in micrograms?\nAnswer: 0.007845557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 0. Let u = 114 - 118. Sort 1, u, n.\nAnswer: u, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*h - 12 + 0*h - h + 0*h with respect to h.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 695036299 to the nearest integer?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000808151 to six dps.\nAnswer: -0.000808","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -59*u - 237. Let v be m(-4). Let j be ((-2)\/12)\/(1\/2). Which is smaller: j or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 2:23 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50 and 5.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16122 divided by 3.\nAnswer: -5374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -179, -358, -657, -1076, -1615, -2274, -3053?\nAnswer: -3952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 5633400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 25, 57, 113, 199?\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -50341, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 - 59640*n + 177846480.\nAnswer: 5*(n - 5964)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44.9 - -45. Sort n, 1\/6, 27, 2\/3 in ascending order.\nAnswer: n, 1\/6, 2\/3, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8438\/7767 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/8502 and 23\/17004.\nAnswer: 17004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**6\/1620 + z**5\/135 - 3*z**3\/2 - 10*z. Let g(f) be the second derivative of d(f). Let g(c) = 0. Calculate c.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + 0.9. Let d = -6.7 + 2.7. Which is the nearest to -0.2? (a) u (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29677 is divided by 606?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99092 is divided by 33022.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.11 - 1.89. Which is the closest to 1? (a) -0.2 (b) -4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 1, 3\/13, 2 in descending order.\nAnswer: 2, 1, 3\/13, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -0.2 (c) 0.2 (d) -1\/3 (e) -1069 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g**2 - 5*g**2 - 29 - 2*g**2 + 4 in the form v*g**2 + h + t*g and give h.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5193*b**2*d**2 - 157*b**2 - b*d**2 + 2873*b*d - 185*d**2 wrt b?\nAnswer: -10386*d**2 - 314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5990.\nAnswer: 2, 5, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3940959 is divided by 118.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/6*60\/(-14)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 55*t**2 - 20*t - 10. Let u(j) = -2*j**2 + 2*j + 1. Let c(b) = m(b) + 10*u(b). Let x(y) = -9*y**2. Calculate x(c(w)).\nAnswer: -11025*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 4 - 1 - 1077*f + 81*f**3 + 1080*f to the form g*f**2 + b + x*f**3 + t*f and give x.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 280290284?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 12. Suppose 2 + g = b. Solve b = 3*p - 7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 418 and 494.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-75)*(-2)\/(-4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 152*u**2 - 857*u - 6. Let d(t) = -150*t**2 + 856*t + 8. Let f(r) = -3*d(r) - 4*z(r). What is the second derivative of f(l) wrt l?\nAnswer: -316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13 + -1 - (-6)\/(-3). Let a = 10 - y. Solve a*k + 2 = 2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mi when two letters picked without replacement from iimimmmimmm.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2062 or -2063?\nAnswer: -2062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 9:17 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 2547823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*x + 4*x + 7*x + 18*x.\nAnswer: 108*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 f, and 1 x when three letters picked without replacement from ilxfi?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(144) + sqrt(144) - sqrt(144))\/sqrt(12) - sqrt(60)\/(sqrt(45)\/sqrt(9)))\/((sqrt(600)*-5)\/sqrt(6)*6).\nAnswer: -sqrt(3)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 + 0*w**3 - 3*w**3)*(-18 + 24*w - 22*w + 27).\nAnswer: -2*w**4 - 9*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -8*n - 2. Let y be r(-8). Suppose 3*o - 5*o + y = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, -0.09, -1 in ascending order.\nAnswer: -45, -1, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20 + (3 - 2 - -7 - 4). Calculate the greatest common divisor of 540 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12780868, -25561672, -38342476, -51123280, -63904084?\nAnswer: -76684888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5400572.\nAnswer: 2, 31, 97, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2*-324735\nAnswer: -649470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210111 (base 3) to base 10.\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45.8 - -46. Let l = -21.2 - -25.2. Which is the fourth smallest value? (a) j (b) l (c) -4 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5306236, -10612514, -15918836, -21225208, -26531636, -31838126, -37144684?\nAnswer: -42451316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(7\/2)\/(d*d\/(d**(-17)*d))*(d\/(d\/d**3))**(2\/49))**(4\/23) assuming d is positive.\nAnswer: d**(-2818\/1127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5381152 is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 107.30067 months to millennia.\nAnswer: 0.0089417225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2207*b**2. Let k(o) = -18*o**2 - 16*o. Let i(c) = 11*c**2 + 10*c. Let u(l) = 8*i(l) + 5*k(l). Determine u(r(a)).\nAnswer: -9741698*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 1. Suppose -22 = 4*u - 2, j*u = -3*c + 84. What is the remainder when c is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (0 + -1)) + (-5 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = l + 721, -4*m + 3*m - 4*l - 255 = 0. Let k = m - -269. Calculate the lowest common multiple of k and 35.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/112)\/(-9)*6\/(-6).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/2, -4\/27, -0.6, -3, 0.4?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 13*q**2 - q + 189. Determine r(-12).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11509429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -13.9 (c) 4 (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11149024.\nAnswer: 2, 348407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 4:16 AM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2 + 5*n**2 + 7*n**2. Let l(v) be the first derivative of -v**2\/2 + v + 2. Let b be l(0). Determine q(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rosxwiwor. What is prob of picking 2 w?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(84) - -4*sqrt(84)))\/sqrt(2))\/(sqrt(12)\/sqrt(2)*-5*2) + -1 + 2.\nAnswer: 1 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojjssssj. What is prob of sequence sj?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (-1 + 1)\/1. Suppose 9*d = 35*d - 1924. What is the tens digit of 1 - f*d*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-2))\/(((-4)\/(-10))\/(-2)). Solve m*x = -17 + 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19706700, 19706696, 19706690, 19706682, 19706672, 19706660, 19706646?\nAnswer: 19706630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 7*j**2 + 2*j - 14. Let k be h(7). Suppose 0 = -0*f - k*f + 5*f. Solve f = -2*a + 3*a - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/12)\/t)**(-1\/24)*(t*t*t**6*t)\/(t\/t**(-1\/14)))**(-1\/4) assuming t is positive.\nAnswer: t**(-16061\/8064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 80\/6*24\/20. Suppose -3*d = -4*w - 17 + 55, -2*w = -3*d - z. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -8*n**4 - 2*n**3 - 5*n - 55. Suppose -7*q - 55 = -20. Let f(p) = 7*p**4 + 2*p**3 + 4*p + 55. Let i(z) = q*f(z) - 4*o(z). Differentiate i(w) wrt w.\nAnswer: -12*w**3 - 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2100)*-2 + 5*(sqrt(2100) + sqrt(2100) + sqrt(2100)*-2 - sqrt(2100)))\/(-2*(sqrt(63) - sqrt(7))*2*-6).\nAnswer: 5*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*t + 105, 0*n - 2*n + 10 = 0. Let w = -98 - t. Let u = 118 + w. Which is the nearest to u? (a) 1\/3 (b) -1\/7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.1+0.2732661899365\nAnswer: -3.8267338100635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 455 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 18*d - 2 = 0, 4*f + d + 4 = 23 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 37. What is the tens digit of v(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 16*b + 19. Let k be n(17). Suppose 5*a - 87 - 2 = -2*m, -4*m + 151 = a. Is k > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(85) + (sqrt(85) - (sqrt(85) - (sqrt(85) - sqrt(85)*2)*-2))))\/(2*sqrt(5)*1 + sqrt(5) - sqrt(35)\/(sqrt(7) + sqrt(112))) + 0.\nAnswer: 30*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -2 - 0)*(-247 + 243).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 1299?\nAnswer: 1\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 461132250?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from nnnnnnmnnmnnmnnmnn.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a hour in seconds?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 34454771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 3*d = -39. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - h - 75 = 0. Let n = 19 + h. Solve 16 = 5*o + n*c, c + c + 10 = 2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -0.21941?\nAnswer: -0.21941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 4*f - f)*(5*f**2 + 7*f - 7*f) + (-3*f**2 + 2*f**2 + 4*f**2)*(-2 + 5*f + 2).\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 1. Let x be z(7). Let g be 10\/(-15) + (-4)\/x. Suppose g*b + 399 = 3*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-3 + -3 + (6 - -1) - 4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35421438.\nAnswer: 2, 3, 13, 17, 26713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -54 (b) 5 (c) 0.003 (d) 5\/2 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((31682\/63)\/(-31))\/(146\/(-657))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21210113 - -232?\nAnswer: -21203221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22075*h - 2025*h - 39972*h.\nAnswer: -64072*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**2 + 2*j + 1. Let w be l(-1). Suppose 0 = -q + 5*i + 48, -q - 6*i + 75 = -2*i. Suppose w*s - 43 = q. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0 - 1) + (-5 - -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -o + 2*j, 2*j = -2*o - 0*o + 42. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1141*z**5 + 7*z**3 + 18*z**2 - 1011?\nAnswer: -68460*z**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 588442248 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 177239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000022296168 to seven dps.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 213647 - -5938.688.\nAnswer: 219585.688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 1:52 AM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5717 in 5, 8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-305.\nAnswer: 1525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h**2 - 6 + 19 + 2*h**2 - 5. Let k(z) = -z**2 + 9. Let m = 8 + -4. Let q(f) = m*r(f) - 3*k(f). Find the first derivative of q(l) wrt l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 1\/4*y**4 + 2*y + 2*y**3 - 3*y**2 + 2. Let m be f(-7). Is -5 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*f**3 - 4*f**3 - 3 - 9*f + 7*f**3 - 9*f**2.\nAnswer: -3*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-66)\/(-28))\/((-36)\/(-42))*-44. What is the common denominator of -22\/153 and f\/(-4)*5\/15?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*c**3*j**2 + 5*c**3 + c*j*n - 34*j**2 + 2*j*n + 4 wrt c.\nAnswer: -51*c**2*j**2 + 15*c**2 + j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/186160 and -45\/208.\nAnswer: 186160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01686 rounded to 3 dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, -0.01, -0.4, 13622, -1\/5 in decreasing order.\nAnswer: 13622, 0.06, -0.01, -1\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -30051\/4237?\nAnswer: -30051\/4237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -98*n**2 - 3*n + 5. Let r(v) = -v**2 + v - 1. Calculate -d(z) - 3*r(z).\nAnswer: 101*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*s + 18*s + 1399748. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 7*w + 11 + 3, 7*n + 4 = -2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/2)\/(1\/3). Let o(b) = -2*b - 14. Suppose 3*w + 9 = 4*m, -w - 2*m - m - 16 = 0. Let f be o(w). Sort -5, f, x in decreasing order.\nAnswer: x, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**3 + 33 + z**2 + 23 - 6*z**3 - 52 in the form l*z**3 + a + k*z**2 + m*z and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**2 - b**4 - 6*b - 4*b**2)*(-4 - 2*b + 4) + (4 - 4 + 2*b)*(4*b**3 + b**4 - 4*b**3).\nAnswer: 4*b**5 + 12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85 + -179. Let z = -94 - s. Solve o - 4*o - 6 = z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 2:14 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*m**4 + 161*m + 2*m**2 - 2*m**2 - 2238*m**5 + 2139*m**5 + 90*m - 6 wrt m?\nAnswer: -1980*m**3 + 240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*x + 4*z + 28, -3*z = -3*x - 129. Let d be (-2)\/(-5) + (-104)\/x. Let f(v) = -2*v - v - 2 + v**d - 1. What is f(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35568213?\nAnswer: 3, 11856071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*m = 42*f - 45*m + 4152, -5*f - 336 - 163 = 4*m for f.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/2*s**3 - 137\/2*s**2 - 201*s.\nAnswer: -s*(s + 3)*(s + 134)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 14*l - 5. Let y(j) = -9*j + 3. Let r(n) = 5*i(n) + 8*y(n). Let b be (-10 + (-168)\/(-16))\/((-1)\/(-6)). Calculate r(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20894213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -250 - -252. Suppose -s**2 - 4*s**2 + 12*s + m*s**2 - 14 + 5 = 0. What is s?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*i + 20. Let s be i - (-3 + 5 - 0). Suppose 0 = -2*y + 6, 7*h - 71 = 3*h - y. Solve s*v + h = w, -v - 18 = w + 3*v for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l**2\/3 + 569600*l\/3 + 81111040000\/3 = 0. What is l?\nAnswer: -284800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/2 + 19361098*t - 187426057882802.\nAnswer: -(t - 19361098)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9260 divided by -5.\nAnswer: -1852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -441*m**3 - 2226*m**2 - 3712*m - 2048 = 0.\nAnswer: -2, -32\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6382554, 12765104, 19147654, 25530204?\nAnswer: 31912754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1246901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -3. Let x = -2 + y. Let k be 12\/x + 3\/2. Which is the nearest to -3? (a) 0 (b) -0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.052*0.3.\nAnswer: 0.0156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 116061.9 years in decades?\nAnswer: 11606.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*q**2*q)\/q)**(1\/16)*q**(-6\/7)\/q*q**0 assuming q is positive.\nAnswer: q**(-45\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 127\/33 (b) 1\/2 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 10356?\nAnswer: -10357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490 is divided by 82.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-14) - (-1)\/21. Suppose 13*m = 4*m + 36. Which is the third smallest value? (a) 2\/5 (b) -2\/9 (c) p (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 9:18 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51520236 and 192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h = -19 + 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 9*f**2 - 60*f - 37. What is c(7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19983043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 8:45 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/7 + 6*g\/7.\nAnswer: 2*g*(g + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b919 - 14?\nAnswer: b905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, n: 15}. Give prob of picking 1 r and 1 n.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.05 - -0.45. Let u = 1.5 - -0.5. Let z = u - 1.7. Which is the smallest value? (a) r (b) z (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1870 - -0.3.\nAnswer: -1869.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 4*p**2 + 2. Let u = -5 + 9. Let i be a(u). Let b = i - 0. Solve 0 = 3*y + 5*f - b*f - 12, 0 = y + 3*f - 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 5:32 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 38*j**2 - 33*j - 203. Determine i(39).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012511334 rounded to six decimal places?\nAnswer: 0.000125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -2\/2310309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l + 4*l**2 + 0*l + 1 + 2*l**2 - 1 + l**2 + l**2 + 0*l**2 + (-2*l + l + 0*l)*(-5*l + 2*l + l) + 0*l + 2*l**2 + 0*l + (-6 + 6 - 3*l)*(-l + 12*l - 4*l).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 346 - 343. Let v(g) = 258*g + 62. What is the tens digit of v(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78208 - 104329507\/1334. Let y = s - -1\/23. Sort 2, -0.2, -4\/3, y in descending order.\nAnswer: 2, y, -0.2, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*x + 2*x = 0. Suppose j - 2*d - 15 = x, -5*j + 26 = -d - 4. Solve j = 5*t - 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(7) + -6*2*sqrt(7) + sqrt(7))*1)*-2)**2.\nAnswer: 80*sqrt(7) + 2804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -1. Let v(l) = -2*l**2 - 6*l - 2. Let x(m) = 2*u(m) + v(m). Let a(k) = 2*k**2 + 5*k + 3. Suppose 0 = 200*n + 1472 - 272. What is n*a(s) - 5*x(s)?\nAnswer: -2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 75, 72, 67, 60?\n\"Answer: -i**2 + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 k, and 2 x when four letters picked without replacement from {k: 4, e: 1, x: 4, m: 3, u: 7}?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -255731\/326 + -8\/163. Let y = -765 - t. Let o = -20 + y. Put 0, o, 2\/9 in ascending order.\nAnswer: o, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 285 + -285.05. Let a = -2 + 2. What is the nearest to a in r, 0.2, -1\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z + 0*z - z)*(2*z**2 + 0*z**2 - 4 + 3) to the form p*z + k*z**2 + h*z**3 + x and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 198721*s - 62. Give x(0).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 22 = 37. Let a be 18\/8 + t - 2\/8. Suppose -4*u + 160 = 2*j, -2*u + a*u = 5*j - 348. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 179562 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -138, -279, -424, -573, -726, -883, -1044?\n\"Answer: -2*l**2 - 135*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*3*(sqrt(117) - (-1 + sqrt(117) + sqrt(117)))*-1 + -1*(2 + (sqrt(117)*2 - sqrt(117)) + 2))**2.\nAnswer: -624*sqrt(13) + 7657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 1004411?\nAnswer: -1004405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 881*z**3 + 3*z**2 - 6*z + 4. Let q(j) = 4*j + 103. Let v be q(-25). Let c be r(v). Round c to the nearest 1000.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 29841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2))**(1\/10)\/(n\/(n\/(n*n\/((n**(-3\/11)*n)\/n))))**(-1\/30) assuming n is positive.\nAnswer: n**(-41\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/10 + (-28)\/(-40). Let b = -44.5 - -22. Let j = 18.5 + b. What is the second biggest value in r, 1, j, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**3 - 8*y**2 - 5*y + 76. Let l(q) = -q**3 - 2*q**2 - q - 1. Determine f(s) - 5*l(s).\nAnswer: 2*s**3 + 2*s**2 + 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(33)*-1*4)\/(3*sqrt(27) + (-1*sqrt(21))\/sqrt(7)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 25. Let j(a) = -a. Let q be j(s). Let b(o) = -o**3 + 9*o**2 - 6*o + 5. Let v be b(6). Calculate the greatest common divisor of v and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/7 - 4*x + 14.\nAnswer: 2*(x - 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 6 + (22 - (-2 + 34) - 4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 31223 (base 6) to base 9\nAnswer: 5666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/4)\/(3\/(-40178)). Let o be 416\/16*(-1554)\/(-12). Let r = o + g. What is the common denominator of r and 163\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165697 is divided by 3583.\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3463680)\/892416 + (-8)\/(-332).\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1140.9 rounded to the nearest ten?\nAnswer: -1140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 6*a**4 + 105*a. Let q(j) = -3*j. Give w(q(g)).\nAnswer: 648*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 566591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 i when three letters picked without replacement from {u: 2, d: 1, t: 9, g: 1, i: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -4*b - 6. Let w = 2 - 0. What is the least common multiple of w and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -4, -2, -1, -3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 12 = -4*o - 4, -5*o - 22 = -3*i. Let n(s) = -s**2 - 13*s - 10. Let h be n(-11). Let q be (-3)\/(-4) + (-69)\/h. Sort o, q, 2 in increasing order.\nAnswer: q, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21859 + -21852. Which is the closest to u? (a) 1 (b) -5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p - 22555 = -94237. What is the units digit of (-9*(-1)\/27)\/(2\/p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**3 + 7*g + 9. Let u(y) = y**3 + 3*y + 4. Let f(q) = 7*u(q) - 3*w(q). Let i be f(0). Is i*4*4\/8 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -209350 divided by 432\nAnswer: -104675\/216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -19*m - 1\/8*m**4 + 0 + 0*m**3 - m**2. Let a(g) = -17*g**2. What is a(o(k))?\nAnswer: -153*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*r - 10*r - 11*r + 2 + 37*r to the form g*r + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -w**7\/2520 + w**6\/180 + 7*w**5\/120 + w**4\/6 + 3*w. Let p(y) be the third derivative of r(y). What is p(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*d - 485 - 2035 = 0 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 6. Suppose -2*z - 2 = -3*n, 5*n = z + i + 6. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(24\/(-9) + 2). Suppose -4*s - d = -8*s. Suppose s*l + 5 = 44. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -790.9 - -791. Let g = 17 + -7. Which is the closest to x? (a) -0.2 (b) g (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/12)\/((-295)\/30)*65\/((-10140)\/104)?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3903 + -3138. Calculate the greatest common divisor of 315 and v.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 5:18 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -89, -0.1, -4, 0, 3 in decreasing order.\nAnswer: 3, 0, -0.1, -4, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 d when three letters picked without replacement from {d: 3, n: 1, p: 9, l: 1}?\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 235051500 to the nearest 100000.\nAnswer: 235100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/5 + 81\/135)*(-1777 - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4498029 is divided by 1488.\nAnswer: 1293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 2257*p**4\/4 - 667*p + 4713. Differentiate m(y) with respect to y.\nAnswer: 6771*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 55 - 7 + 11 + (4 - 3 + 2)*(-1 + 0 + 2))*(-4*j + 4*j - 11*j) to q*j + y and give q.\nAnswer: 583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5243232500 - 3?\nAnswer: -5243232503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) 0.01 (c) -0.5 (d) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 233155142?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*c**3 + 6*c + 87*c**3 + 13*c**3.\nAnswer: 18*c**3 + 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10614, -22043, -33472, -44901, -56330?\nAnswer: -67759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p**2 + 0*p**2 - 6*p**2 + 9*p**2. Let g(r) = -7*r. What is k(g(q))?\nAnswer: -49*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12573 = 4*a - a. Let q be -3 - (-2 - a\/108). Let v = q - -284\/9. Find the common denominator of 21\/2 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}