diff --git "a/data/dm_maths/full_data/136_11255.jsonl" "b/data/dm_maths/full_data/136_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/136_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 2752 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*y**3 - 3*y**2 - y**3 + 11*y**3 - 4*y**2 wrt y.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 14) to base 10\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -167 + 170. Suppose n*g = 1796 - 158. Is g a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -9\/10, 134.\nAnswer: -3, -9\/10, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5 - 30 = -2*j, -4*j + 2*q + 42 = 0. What is the remainder when 45 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of k**6\/6 + k**2. Let o = 1133 - 1136. Let y(m) = -7*m**3. What is o*g(r) - 8*y(r)?\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -311 + 313. Is 109466\/14*(-1 + q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + o + 5*j = 77, 60 = 5*o - j. Factor 11*s**2 - o*s**2 - s - s.\nAnswer: -2*s*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 67, -1\/2, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/1386 and -59\/63.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 962582 is divided by 428.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1317477.\nAnswer: 3, 7, 43, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(308))\/sqrt(11))\/(sqrt(576)*-1).\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.94 - 1.0544. Round o to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 1. Suppose -2*o - 3*w + 0*w + 3 = 0, -w = 5. Calculate p(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -27541, -110169, -247893, -440725, -688677, -991761, -1349989, -1763373?\n\"Answer: -2*n**3 - 27536*n**2 - 6*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1807, 7600, 17255, 30772, 48151?\n\"Answer: 1931*d**2 - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 1 + -3)*-5. Let i be 8\/(-20)*b\/(-6). Let -1\/3 + i*n**3 - 4\/3*n - 2\/3*n**2 + n**4 = 0. What is n?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -6*sqrt(75)*3 + sqrt(75) - (-2*(1 + sqrt(75) - sqrt(75)) - -6*(sqrt(75) - (sqrt(75) + sqrt(75)*2))))**2.\nAnswer: 150*sqrt(3) + 1884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1898 + 2100.1. Let z = 202 - o. Let d = 1.28 + -1.3. Which is the nearest to 1\/4? (a) z (b) d (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 589657?\nAnswer: 29, 20333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 224 (b) 3 (c) -7.7 (d) -4 (e) -1 (f) -5.4 (g) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 216491129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6*q + 1. Let n(c) = -13*c - 2. What is -11*f(u) - 6*n(u)?\nAnswer: 12*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2881, 5765, 8655, 11551?\n\"Answer: 3*x**2 + 2875*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8477?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.4, -5, -6\/5 in descending order.\nAnswer: 3, -0.4, -6\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 - 333069?\nAnswer: -333058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1110100111000 (base 2) to base 11\nAnswer: 5690","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 551387.1 meters in nanometers?\nAnswer: 551387100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*y + 8. Suppose -2 = -b - j, -21 - 14 = -4*b + y*j. Solve -5*g = -4*k - 3*g - 2, -b*g = 5*k - 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4551 * 10966\nAnswer: 49906266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -1, -14, -5, 2132, -6 in descending order.\nAnswer: 2132, -1, -3, -4, -5, -6, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**3 + 8*i**2 + 8*i + 6. Suppose -12 = -q - 3*q. Let r(v) = 3*v - 2*v**2 + v**3 + 2 + 5*v**2 - 2*v**3. Determine q*h(a) - 8*r(a).\nAnswer: 2*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 0.7. Let n = -0.15 + 0.24. Let o = n + 3.91. Which is the second smallest value? (a) f (b) o (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 1 (b) -1 (c) -7 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001201722 rounded to 6 decimal places?\nAnswer: -0.001202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2624 is divided by 70?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1718 - 18936\/11. Let m(v) = v**3 - 2*v**2 - 2*v + 3. Let l be m(3). Calculate the common denominator of d and 208\/l*(-1)\/(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/9)\/(1\/(-6)). Let h(x) = -67*x**2 + 65*x**q - 7 + 5. Calculate h(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 8*i**2 + 52. Let a(y) = -2*y**3 + 9*y**2 - 52. Let g(k) = 4*a(k) + 5*l(k). Differentiate g(q) with respect to q.\nAnswer: -9*q**2 - 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*z**3 - 46*z**3 + 34*z**3 - 71*z**3 - 124*z**3.\nAnswer: -193*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3100 + 6065\/2. Let y = -66 - s. Which is the nearest to 2\/7? (a) -1 (b) y (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrrprrpr. What is prob of sequence rrrp?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16187 or 613?\nAnswer: 613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*g - 13, -2 = 2*f - f + 2*g. Let l be 1\/f + 4\/(-8). Let i = 2 + -2. Which is the nearest to i? (a) 1\/2 (b) l (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 567 - 56?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + w - 1192, -2*w - 3*w + 4772 = 4*y. List the prime factors of y.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2. Let y(s) = -164*s. What is y(u(l))?\nAnswer: -164*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*w + 108 = 196 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*(r*r**(-2\/3)*r)\/r)*(r\/(r\/r**1))\/r)**(-21)*(r\/r**(-2\/13)*r*r\/((r**1*r)\/r))**17 assuming r is positive.\nAnswer: r**(567\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.02 + -0.02. Let g = p - 6.97. Round g to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((48\/(-80))\/(18\/(-15)))\/(752*26\/832)?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 2*j**2 - 1\/12*j**4 + 0*j + 3 - 1\/15*j**5 + 1\/3*j**3. Let l(s) be the second derivative of n(s). Solve l(g) = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 814 and -395088 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/3*(-16 + 11)\/(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/11))**(-42) assuming d is positive.\nAnswer: d**(84\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)\/sqrt(3) + 2 + sqrt(27))**2 + (6*-3*sqrt(3))**2 + 2.\nAnswer: 24*sqrt(3) + 1086","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*q + 3*q - 35. Let b = -726\/5 - -6824\/45. What is the common denominator of (q - (-25)\/4) + (-9)\/8 and b?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w - 6*w + 4*w + (2 - 4 + 5)*(w - 1 + 1) + 0 - 345*w + 5 + 353*w.\nAnswer: 13*w + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 19812*p**2 + 36 + 22*p + 14*p - 4*p**3 - 19816*p**2 = 0?\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**3 + 7*u**2 + 1. Calculate d(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-2) + (91 - 2). Let c = z - 72. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -125.14 + 6.54. Let h = -119 - l. Let g = 697\/8 + -87. What is the fourth smallest value in -0.5, h, 1\/7, g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-29092)\/(-16) + 24\/(-96)?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 7*r**2 - r + 3. Let k be n(2). Let q = k - 25. Suppose p + 32 = c - q*p, -4*c = -3*p - 60. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 23*b - 23. Let x be o(6). Suppose 2*t = -2*n + 118, 58 + x = 3*t + 4*n. Is t a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.3 (b) -21 (c) 1 (d) 1.6 (e) -2\/9 (f) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 38 = -2*o, 8*o + 4 = -a + 3*o. Calculate the common denominator of (237\/63)\/((-6)\/a) and 101\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 83939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 426 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: Simplify (((g*g\/g**(2\/67))\/g)\/g**(-10\/9))\/((g**15\/g*g)\/(g*(g**(1\/5)\/g)\/g)) assuming g is positive.\nAnswer: g**(-41362\/3015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -29*k + 65. Let f be w(7). Let l = f + 141. Solve l + 2 = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*l + 6*l + 620. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 272710482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 931*i**2 - 3*i - 86.\nAnswer: 1862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6303 divided by -1.\nAnswer: -6303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*r - r + 2*r - 7*r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21006?\nAnswer: 2, 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, k: 7, p: 1, z: 4, o: 2, d: 3}. Give prob of sequence zopz.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b + 0*b - 19*b**3 - 4 + 12*b**3 in the form c*b**3 + x*b**2 + p*b + y and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, i: 8}. What is prob of sequence dd?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136235905 is divided by 174?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5596449680 + -1369.3?\nAnswer: 5596448310.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3632288839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*20\/24*11\/(-10780)*-28?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**4*s - 1674906*a**4 + 28*a**2 - 2*a*s + 2963*s wrt a.\nAnswer: -48*a*s - 40197744*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 925*m - 27*m - 32526 = -231*m - 122*m for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -5*k**6\/12 + 52*k**3\/3 - 97*k**2\/2 - 49*k. Let i(c) be the first derivative of n(c). What is the derivative of i(u) wrt u?\nAnswer: -150*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -544\/3*r + 4\/3 + 271\/3*r**2.\nAnswer: (r - 2)*(271*r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 638*b - 79325. Calculate a(169).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -123079*r**2 + 155241*r.\nAnswer: -246158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 505 - 478. What is the remainder when 818 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2814, 2848, 2900, 2970?\nAnswer: 3058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 20*y - 4. Let g(v) = -13*v + 3. Let o(a) = 8*g(a) + 5*t(a). Let n be o(0). Solve -n*q = q + 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m + 225022 - 150353 - 558048 - 176030 - 2*m.\nAnswer: m - 659409","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -145 - -124. Is (-2)\/(-2)*(1340 - g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (0 + sqrt(252))**2*-6)*4 + (sqrt(252) + (sqrt(252) - -2*(sqrt(252) + 0)) + -2)**2*-2.\nAnswer: -14108 + 192*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 154872*b. Let a(l) = 23*l**2. Determine a(j(q)).\nAnswer: 551662736832*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**3 + 3*f**2 - 3*f + 1. Let h be c(2). Calculate the remainder when (-12)\/h*(-30)\/(-4) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61970?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - n + 2*b - 923, -4*n - b - 1227 = 0. Let z = 55 - n. Suppose -4*x + 1058 = z. Is x a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 95.2 * -0.4\nAnswer: -38.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*c**2 + 24\/13*c + 72\/13.\nAnswer: 2*(c + 6)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 1 = -4*m + 4, 2*m + 2*j = 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75 + -51. Suppose 0 = -19*t + i*t + 455. Let c = 54 - t. What is the greatest common factor of 29 and c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22625, -22626, -22627?\n\"Answer: -l - 22624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 167, 3, 2, -2 in decreasing order.\nAnswer: 167, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26321 and 0.5.\nAnswer: -13160.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 65021350?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17 + -534?\nAnswer: -54b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, m: 1, u: 4, h: 1, b: 3, l: 2}. What is prob of sequence um?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.013737 decades in centuries?\nAnswer: 0.5013737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 531 + -515?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(-1)\/2*12\/60. Let r = -66 - -65.88. Let j = -0.08 + r. Put g, j, 0, 2\/5 in descending order.\nAnswer: 2\/5, g, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 5*y**2 - y + 9. Suppose 28 = 3*x + 13. Let h be f(x). Suppose -b + 47 = 2*t - t, -2*t = -h*b - 118. What are the prime factors of t?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 317 divided by -31.\nAnswer: -317\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + -3 - 4*-2. Solve 16 = -l*a + 28 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -195 (b) 0.01 (c) 0.2 (d) 7 (e) -98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182100 is divided by 91048.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 132, 123, 4, 14 in descending order.\nAnswer: 132, 123, 14, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -6*y**2 - 7*y. Let j(s) = -577*s**2. Give c(j(h)).\nAnswer: -1997574*h**4 + 4039*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -953\/36 + 91\/4. Let v = 10429\/5072 - 33\/16. Let p = v - -13069\/11412. What is the common denominator of d and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tht when three letters picked without replacement from ttthhthttth.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 20102?\nAnswer: 20112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -215, -207, -89, 229, 837, 1825, 3283, 5301?\n\"Answer: 15*u**3 - 35*u**2 + 8*u - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1009 + 2009\/2. Calculate the common denominator of -30\/569 and j.\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60 - 162. Let m be ((-6)\/(-12))\/((-1)\/p). Let s = 54 - m. Solve -6*i - s = -2*i + 3*k, 0 = -5*i + 2*k + 25 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52551, 53447, 54927, 56979, 59591, 62751, 66447, 70667?\nAnswer: 75399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 202.8, -78\/97, -1?\nAnswer: 202.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 87747a1 + -20?\nAnswer: 8774781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 600 and 888.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqkjjqqokuqqk. Give prob of sequence uukj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*r - 141*r - 29*r + 430*r + 5*r**3 - 137*r.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2 - f + 27. Let h be k(0). Solve j = q + 2*q + 5, -3*j - 5*q = h for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1966239?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 154664 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**2*z + 168*l**2 - 44*l - 5*z wrt l.\nAnswer: -4*z + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -116.948 - 0.052. Let q = -111 - z. What is the closest to -0.1 in -3, 12, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/24 of a minute?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -a - 8*l - 7, 0 = -3*a + 5*l + 39. Suppose -5*c + 35 - a = f, 4*f + 7 = 3*c. Suppose 9*g - 636 = c*g. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2803 times 0.4\nAnswer: -1121.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*b*i**2*l - 75*b*i**2 - b*i*l - 42*b*i - 250*b + 2*i**2*l wrt i?\nAnswer: 70*b*l - 150*b + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 1:55 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 23*j. Suppose 8*o = 3*o - 50. Let l be ((-8)\/(-10))\/(o\/(-50)). Let f(z) = 4 - 5*z + 3*z - l. Calculate w(f(s)).\nAnswer: -46*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**4\/12 + 2*c. Let q(n) be the second derivative of 0*n**2 + 0*n**3 + 0 - 323*n - 3\/2*n**4. Calculate p(q(o)).\nAnswer: -324*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*r = 2, -5*l + 10 = -r + 3*r. Suppose l*g + 3 = 3*y + 36, -39 = 4*y - g. Calculate the common denominator of (-15)\/(-6)*(2 - y) and 25\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8 + 665847\/166464 + (-10)\/25*-10. Is 1 <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**3 + 3 - 3)*((0 - 1 - 1)*(0*d**2 + 3*d**2 - 2*d**2) + 11*d**2 - 16*d**2 + 6*d**2 - 15*d).\nAnswer: -3*d**5 - 45*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 292649.\nAnswer: 3\/292649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s + 24 = 4*t - 12, 68*s - 2*t + 5 = -67*s + 140*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p. Suppose 5*x + 63 = -w, 3*x = -2*w + 7*w + 315. Let i = w - -89. Calculate the remainder when i is divided by y(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + 8. What is the units digit of z + 4\/(-12)*-3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m - 13. Calculate u(10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 196631952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 4*j + 5 - 7.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 s when three letters picked without replacement from shsmnnnnh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/60*3*-5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11 - (3 + -9 - -2). Suppose -3*q = -5*y + 79, q - 14 = -2*y + 11. Suppose 2*x = 2*l - y, -2*l + 3*x + r = -l. Solve 1 = j + l for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = y + 3, 2*y = 2*o - 1 - 5. Let z be 1\/(1 + (0 - o)). Does z = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -207a1 (base 16) in base 7?\nAnswer: -1062554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 2 + 2*z**3 + 3 + 15*z**2 - 10*z**2 - 7*z. Suppose 5*a - 5*y - 55 = 0, -5*a - 3*y + 49 = -2*y. Let l be a\/(-35) + (-40)\/7. What is i(l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/98313, 0, -5 in increasing order.\nAnswer: -5, -2\/98313, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 0, 9, 22, 39, 60, 85?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 21 = 3*u, 5*l + 3*u - 1 = 3*l. Let z be (-2 - l)\/(2\/5). Let d(f) = 3*f - 7. What is the smallest common multiple of d(z) and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4201*o**2. Let c(f) = -3*f**2. Give r(c(x)).\nAnswer: -37809*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/8*38\/(-266)*24\/(-9)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -390 + 389.13. Which is the third smallest value? (a) -0.2 (b) -3 (c) 1 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -1\/12*k**4 - 17*k + 0*k**3 + 0*k**2 + 0. Let d(b) = -3*b**2. What is h(d(a))?\nAnswer: -9*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h*o**3 - 22*h*o - 21653*o**3 - 34603*o**2 wrt o.\nAnswer: 12*h - 129918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 12*n**2 + 176*n - 916. Let u be d(5). What is the greatest common divisor of u and 456?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7613*a**3 + 9 - 9 + 7602*a**3.\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqqeqzzqeqeeyzzy. Give prob of picking 3 q.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3872 + 3868. Let l be 2\/(1 + -3) - -4. Put b, l, 2\/3 in increasing order.\nAnswer: b, 2\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 464, -0.5, -2.34.\nAnswer: -2.34, -0.5, 41, 464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 3*p - 16 = 0, -25*y + 22*y = -2*p - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2562819 is divided by 154?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 75\/(-40) - (-1)\/((-8)\/1). Which is smaller: -15\/8 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.2 and -0.5.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**2 - 3*x**2 - 8*x - 67*x**3 + 0*x**2 - 4.\nAnswer: -67*x**3 - 7*x**2 - 8*x - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 f when four letters picked without replacement from nnnnnnfnnnnn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 57159896 to the power of 1\/2, to the nearest integer?\nAnswer: 7560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*n - 8 = 0. Suppose 3*v = n*v + 2. Let d(f) = 2*f**2 - 3*f - 1. Determine d(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13803\/856)\/(-9*(-14)\/672).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 911280?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, t: 4, n: 3, v: 6, h: 2, b: 1}. What is prob of sequence vah?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 100*w**2 - 49*w**2 - 56*w**2. Let d(a) = 4*a - 17. Determine t(d(c)).\nAnswer: -80*c**2 + 680*c - 1445","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5990270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 29*n**2 + 5*n - 67. Let v be u(29). Suppose 11*d + 2*d = v. Calculate the greatest common divisor of d and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -6*sqrt(637)*-2)**2 + (5 + (sqrt(637) + 0 - sqrt(637))**2 - (3 + -1 + sqrt(637))) + -1.\nAnswer: -847*sqrt(13) + 91755","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 156*c - 165*c. Put -4, 24, c, -11 in descending order.\nAnswer: 24, c, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*d**3 - 3*d**4 + 5*d**4 + 71*d**3 - 3*d**2 to r*d**3 + x*d**4 + p*d + m + w*d**2 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (-1 - (-8 + 3)). Suppose 0 = -13*o + 9 + 4. Sort p, o, 11 in descending order.\nAnswer: 11, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-2) + (-1 - 2). Let s(q) = -6*q - 4. Calculate the smallest common multiple of s(g) and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 9*j**2 + 253*j - 2279. What is o(9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4713 = r + 5*a, 23544 = 5*r + 61*a - 57*a. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 f when four letters picked without replacement from {f: 2, j: 13, x: 1, w: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 4, 1, -40, 5, -5.1, 0.3 in decreasing order.\nAnswer: 5, 4, 1, 0.3, -5.1, -29, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, o: 9, j: 2, l: 6, p: 1}. Give prob of picking 2 l.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 360*u + 2198. Let g be k(-6). Solve -g = -6*o - 32 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 18, -5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 6*h**2 + 7*h + 9. Let g = 46 + -20. What is the remainder when c(-4) is divided by g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74219772 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -247*a*w**6 + 9*a*w**2 - 2*a*w - 35458*a + 141984*w**6 + 2*w**2 - 2*w - 5 wrt w.\nAnswer: -29640*a*w**3 + 17038080*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-3\/10))\/w**7)\/(w**(3\/2)\/w)**(2\/47))**(14\/3) assuming w is positive.\nAnswer: w**(-18823\/705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-28)\/8 + 1\/(-2). Suppose 20*g - 18*g = 10. Suppose 2*c - 4*q = 24, -3*q = -2*q + g. Put -3, c, o in decreasing order.\nAnswer: c, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 - -0.02. Let s = y + -0.27. Suppose 2 = 2*q + 4. Which is the closest to q? (a) s (b) 0.5 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*u + 102. Let z = 54 + u. Solve z = 2*o + o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -47\/282394?\nAnswer: -47\/282394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-333)\/(-216) + (-4)\/6.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 l when two letters picked without replacement from {l: 2, k: 1, w: 3, d: 1}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4234\/(-1168))\/((-6)\/48). Suppose 3*n = -p + 5, 2*p + n - 4 = 1. Suppose -2*d = -p, -5*c + d - 6*d + 50 = 0. Solve -5*u - q + c = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78075282 and 1270.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -141908\/87 - -4892\/3. Let u = -6\/29 + r. Suppose 5*y = 3*q - 36 + 8, -4*y - 2*q - 18 = 0. Put u, -1.2, y, 5 in ascending order.\nAnswer: y, -1.2, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 - -0.2. Let n be (0 + -3)\/((-6)\/(-4)). Let a = 0 - n. Sort t, a, 1\/2.\nAnswer: t, 1\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 222332 and 7.\nAnswer: 1556324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 3*l**2 + 4*l - 38. Let c be d(-7). Let r = c + -134. Let t be -1 + 1 + (-4)\/(-2). What is the nearest to 1 in -7, t, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22502 - -1024?\nAnswer: -21434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4.079047 days?\nAnswer: 97.897128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10458.\nAnswer: 2, 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2940924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -x**8\/336 + x**5\/20 - 5*x**2\/2 + 3. Let w(j) be the second derivative of m(j). What is the third derivative of w(b) wrt b?\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4900 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**2 + 2*b**2 - b**2 + (-11*b + 12 - 12)*(-1 + 1 + 2*b) - 8*b + 10*b**2 + 8*b - 3*b**2 + 126 - 127 + 3*b - b.\nAnswer: -17*b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 322295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**3 + 165 + 9*g**4 - 165 + (-4*g + 0*g + 2*g)*(3*g**2 - g**3 - 3*g**2) to z*g**3 + u*g**4 + p*g + q*g**2 + x and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (-3 + 3)*-1. Let m(t) = 10 - 12*t**2 + t**o + 0*t**3 + 6 - t. Let r be m(12). Solve 0 = -z + 4*k + 3 - 14, -8 = r*z - 4*k for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1983056 and 12394100?\nAnswer: 49576400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19577.7789 rounded to the nearest integer?\nAnswer: 19578","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3 + 5 - 5 + 1 + (2 - 1 + 0)*(0 + 4 - 3) - 4 + 1 + 1)*(6*u**5 + 3*u**5 - 5*u**5).\nAnswer: -4*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139, 135, 129, 121, 111, 99?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 3 (b) 2 (c) 2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - (-2983)\/418 - (-30)\/(-220).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 277464 and 264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1 + (3 + -2 - 7))\/(135\/108)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -115, -111, -93, -55, 9, 105?\n\"Answer: l**3 + l**2 - 6*l - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5398301?\nAnswer: 5398301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 5*u - o = 0, o = -2*u + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 1\/4 (c) 4\/13 (d) 4 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 1 - 10. Suppose -9*g + 11*g - 8 = 0. Suppose -b = -z*k + 136, 0*b + g*b = k - 38. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 384562*t - 192243*t - 192337*t + 2.\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 + 207 - 6*h - 523*h**2 + 91.\nAnswer: -523*h**2 - 6*h + 238","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -1220*h**7\/7 - 2*h**3\/3 - 76*h**2 + 613. What is the third derivative of t(c) wrt c?\nAnswer: -146400*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 260.451.\nAnswer: -781.353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t + 14. Let k be q(6). Suppose c = -s - 397, k*c + 2*c = -s - 1600. Let f = c - -1. Round f to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s. Let f(v) = 278033*v. Give f(o(r)).\nAnswer: 556066*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -45\/16? (a) -151\/2 (b) -0.053 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (-6 - (2 - (-5 - -3 - -6))).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*j - 2332 = -23*j - 16*j - 80*j for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -234.\nAnswer: -1\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -527\/2 + 1595\/6. Let c(s) be the first derivative of 3\/2*s**2 + 13 + s + n*s**3. Find the second derivative of c(i) wrt i.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6368 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/261324 and -53\/420.\nAnswer: 1306620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 357338483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 3 - 5)*(2*o**4 - 3*o**4 + 0*o**4) + (2 - 8 + 13)*(o**4 - 2*o**4 + 2*o**4).\nAnswer: 19*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 709*o - 6458. Let s be p(-9). Let f = -11 - -14. Solve 4*t = -4*h - 36, -s*h + f*t = 1 + 7 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-5))\/((-1)\/(-5)). Let g be w + (7 - (0 - -1)). Solve 0*v + s = g*v + 10, -5*s + 17 = -4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -77 + 0*t**3 + 0*t + 1\/5*t**5 - 1\/18*t**6 - 1\/6*t**4 + 0*t**2. Find i, given that s(i) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000512 to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g - 4. Suppose 0*u - 11 = 3*u + 4*d, -2*d = u + 7. Let b(a) = -2. Let w(z) = u*h(z) - 6*b(z). Let j(n) = -7*n**2. What is w(j(q))?\nAnswer: -21*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1106388 and 13578.\nAnswer: 34298028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d**2\/2 + 1. Let t(r) be the third derivative of -r**5\/30 + 4*r**3\/3 - 6*r**2 - r + 75. Determine t(z(m)).\nAnswer: -2*m**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 467*w - 115. Determine r(3).\nAnswer: 1286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -446\/5 + 90. Let m = 68.1 + -8.1. Let g = m - 61. What is the nearest to 0 in c, g, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 18. What is the second smallest value in l, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*k - 49 = -193 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) 420 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20663*i**2*s**3 + 16*i**2*s - 3*i*s**3 - 8*i*s + 39*i wrt s.\nAnswer: 123978*i**2*s - 18*i*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.24 + -0.74. Let n = 4.274 - 0.274. What is the third smallest value in 2\/3, l, n, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -4 - 1 - 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 35*j**2 - 75*j - 29. Calculate o(-37).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-48)*(128\/24)\/(2\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.84 - 5.36. Let h = r - -5.2. Put h, -2, -2\/11 in descending order.\nAnswer: -2\/11, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xy when two letters picked without replacement from ljyjxflfwlyxlflyyffy?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22046 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 637*d - 26009. What is k(42)?\nAnswer: 745","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 2. Let n = -91 + 92. Which is the closest to n? (a) 0.5 (b) m (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a - 4*j + 52 = 0, -208 = -4*a + 5*j - 225 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 7*b**2 + 8*b + 2. Let l be d(6). Let n = l - 12. What is the hundreds digit of (-6)\/2 - (3 + n + -193)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55934 is divided by 12656.\nAnswer: 5310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.050823 + 0.050858451. Round b to 6 dps.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3391085 is divided by 87?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 3*d + 9. Let l be n(-4). Suppose -5*v - 8 = -c + 5*c, l*c - 35 = 5*v. Find u, given that 0*u**c + 3\/2*u**4 + 0 + 0*u**2 + 0*u = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, c: 3, i: 9, h: 4}. What is prob of sequence rch?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91 + 114. Suppose 3*m = -4*w + f, 4*w - 11 - 7 = 2*m. Solve -15 = -3*z, w*g - 2*z - 20 = -3*z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 370209 and 17934?\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n - 3*n + 84 = 0. Solve -u + n*d + 4 = 0, 6*u = u - d - 22 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*n - n. Suppose n*t = -v + 2, 2*t + 4*v - 3*v = 0. Suppose s - 3*s = 3*p - 25, -t*p = -3*s - 8. Solve -4*u = -2*u + 2*c - 8, -3*u + p = 2*c for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.08 - -0.02. Let p = -0.06 - u. Sort -1, p, 0.3.\nAnswer: -1, p, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 7) to base 14\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11867256449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 - 1491)*(-2 - (-6)\/4). Suppose -3*a = -242 - g. Are 327 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(245)*-2 - sqrt(245))\/sqrt(5))\/(sqrt(224)\/sqrt(2) - sqrt(14)\/sqrt(2)*-2).\nAnswer: -5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*h*v**3 + 74235*h*v**2 - 2*h*v + h - 42*v**3 - 64*v**2 - 146*v wrt h?\nAnswer: -3*v**3 + 74235*v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100123 and 118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1743244.\nAnswer: 2, 107, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -3 - (-3 - -3) - (20 + -15)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -81458 (base 9) to base 10\nAnswer: -53594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/4*120\/45. Suppose l*x + 5*c = 4*c + 596, 4*x + c - 1188 = 0. List the prime factors of x.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 68, 62, 20, -64?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 101544462*c**4 + 3*c**2 - 4*c - 141221 wrt c.\nAnswer: 2437067088*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 218*v**4 + 126 with respect to v.\nAnswer: 872*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*g = 0. Solve g = 2*h - 6 - 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-5*(-2*sqrt(462) - sqrt(462))\/sqrt(11))\/(-2*-1*sqrt(486)*-2).\nAnswer: -5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 1046ba?\nAnswer: -1046b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 6:03 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11\/12? (a) -1 (b) 0.2 (c) -12\/23 (d) 1\/3 (e) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 + 74. Suppose 5*k - 4*k + 3*h - d = 0, -5*k + 188 = -4*h. What is the highest common divisor of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1020 by 17.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 356504, 713019, 1069546, 1426091, 1782660, 2139259, 2495894?\n\"Answer: x**3 + 356508*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.492 - -0.108. Round z to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1559 + 1560 + 43*c - 156*c - 1 + c + 1 + (3*c + 6*c - 6*c)*(3 - 3 - 5) to p*c + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1246\/823 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81 - -91. Let q be (j\/(-60))\/((-1)\/4). Which is the third smallest value? (a) -4 (b) q (c) -0.2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*o + 30, -4*c + 2*o - 33 = 3*o. Let d be (-20)\/c*2\/5. Is 2\/d + -6 + 7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4218 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/5))**(-7\/5)\/(n*(n*n\/(n\/((n\/(n*n**10))\/n)*n))\/n*n**(-2\/13)) assuming n is positive.\nAnswer: n**(3261\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 560118539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2068, -4160, -6252, -8344?\nAnswer: -10436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 - 188335618817.\nAnswer: -188335618829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/6 - (-4)\/6. Suppose -2*j = g*k - 0*j - 40, -2*k = -5*j - 26. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**4\/7 - 63*z**3 + 48399*z**2\/7 + 48841*z\/7 = 0. What is z?\nAnswer: -1, 0, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**2\/2 - 5658*a + 11322 = 0. What is a?\nAnswer: -3774, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.09345 (b) 3 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28\/(-4) + (7747 - (-5 + 4)).\nAnswer: 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.071 - 0.032. Let w = l + 14.903. Let j = -16 + w. Is j > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -592 - -644. Suppose -5*d = 2*x + 8, -5*x + a = -3*d + 72. Factor d*b + 4\/7*b**2 + 20\/7*b**3 + 16\/7*b**4 + 0.\nAnswer: 4*b**2*(b + 1)*(4*b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 - 11. Let y(l) = 7*l**2 - 10*l - 12. Let i be y(6). What is the highest common factor of i and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5794, -321, 9?\nAnswer: -321","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/20*1\/(1 + 5). Let s(q) be the second derivative of r*q**5 + 0 + 3*q + 0*q**3 + 0*q**4 - q**2. Differentiate s(o) with respect to o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10546 - 3?\nAnswer: -10549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 42539129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-11 + 0 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (0 + (0 - -14)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 - 114. Let l(j) = -22*j - 69*j + 89*j. Calculate l(u(y)).\nAnswer: 4*y**2 + 228","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1220210002 + -12102?\nAnswer: -1220222111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - g**4 - 3 + (0*g**3 + 2*g**3 + 0*g**3)*(2*g + 0 + 0) + (-2*g**3 + 30*g**3 + 4*g**3)*(2*g + 3 - 3) + 3*g**2 - 3*g**2 - 2*g**4.\nAnswer: 65*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 6*l**2 - 8*l - 2. Let w be y(-5). What is the highest common factor of w and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -5*x + 2*x - 23, -5*x + 5*p - 25 = 0. Let q(o) = -11*o**2 + 2*o + 1. Let m be q(x). Let j(l) = l + 13. What is j(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 61, 4, 2, -5, 1 in decreasing order.\nAnswer: 61, 11, 4, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.293744 * 1.5.\nAnswer: -3.440616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -l**4\/12 + 4*l**3\/3 - 7*l**2\/2 + 2*l + 16. Give d(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/3 + 142*i**2\/3 + 278*i\/3 + 46.\nAnswer: 2*(i + 1)**2*(i + 69)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -103\/153 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - 3*w**2 - w**2)*(0*w - 3*w + 4*w) - 5435*w + 5435*w + 93*w**3 - 3*w**2 + 3*w**2 - 3*w**3.\nAnswer: 88*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -62c?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 587736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -14*j**2 + 8*j - 8. Let y = -20 + 28. Let x(k) = -9*k**2 + 5*k - 5. Let i(s) = y*x(s) - 5*g(s). Let n(l) = -2*l. What is n(i(d))?\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 43350037 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**4 - 1699839*p**3 - 3399714*p**2 + 13598760*p = 0. Calculate p.\nAnswer: -4, 0, 2, 566615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -c?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -542.82 and 492690?\nAnswer: 493232.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5218, 6082, 7530, 9568, 12202, 15438?\n\"Answer: q**3 + 286*q**2 - q + 4932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 104.551 - 1.991. Round k to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdcd. What is prob of sequence dc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 3:31 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/(20790\/160)*(-6)\/8.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.171439866 rounded to 5 decimal places?\nAnswer: -0.17144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + w - 1. Let y be t(-2). Let m be 1 - (81\/63 + (-4)\/14). Let i(v) = -1 + 3*v**3 + m*v**3 - 2*v - 8*v**3 + 3*v. Determine i(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.2, -5, -8 in ascending order.\nAnswer: -8, -5, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 10*m + m - 4*m - 8*m. Suppose o = -4*x - 13, -2*o + x - 5 = -5*o. Let j(z) = 7*z - 2*z - 1 + o*z. Determine n(j(g)).\nAnswer: -8*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 10:31 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 i when two letters picked without replacement from yfkyviyyfkkvgvkvkf.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -16261088*6\nAnswer: -97566528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 0*g + 0*g - g - 1 + 2*g. Let y(x) = 3*x - 4. Let u(m) = -n(m) + y(m). Suppose 4*d + 12 = -5*v, -4*d + 4*v + 6 = -18. Calculate u(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001100 (base 2) in base 3?\nAnswer: 2211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77425 divided by -25.\nAnswer: -3097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 + 9 - 3)*((-3*d + d + 5*d)*(-3 - 3 + 5) + 0 + d + 0) as v*d + x and give v.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (58 - 0) + (0 - -1)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/3 - 2\/6. Let v be (k - 0)*(3 - 2). Solve 2*y - 8 = -4*r, -3*y - r + v*r + 12 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p**2 + 2*p**3 + 5*p + 7 - 3*p**3 - 4*p. Let n be b(-5). Find the third derivative of -2 - y**4 - 1 + 3 - 2*y**n wrt y.\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2870250726?\nAnswer: 2, 3, 7, 17, 577, 6967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 + -25. Suppose -47*n - 13 - 13 = -60*n. What is the least common multiple of n and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.2, 4, -81, 1\/4, -5.15 in decreasing order.\nAnswer: 4, 1\/4, -0.2, -0.5, -5.15, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 832 is divided by (6145\/10 + 5)*(0 - (-4)\/6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 1406336.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.95 + 3. Let z = -0.16 - -1.11. Let i = o + z. Which is the closest to i? (a) -0.2 (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z + 2278099383 - 2278099383.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -47? (a) -4 (b) -0.4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 85*r**4 - 36 - 3*r**2 + 23*r**5 - 76*r**4 - 11*r**5 wrt r?\nAnswer: 720*r**2 + 216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3*w**3\/2 - 61*w**2\/4 - 43*w\/4 + 55\/2 = 0?\nAnswer: -55\/6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 - 4 - 84)*(-4*u**3 - 3*u + u**3 - u**2 + 2*u) to c*u + m*u**2 + h + w*u**3 and give m.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c + 13. Let g be z(7). Let o be ((-2)\/g)\/((-3)\/45). Suppose -n - 117 = -2*v, -2*n = -v + o*v - 238. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2114242420 to the power of 1\/3, to the nearest integer?\nAnswer: 1283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2*167\/(-22) + 18\/(-693)*-7\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-13))\/((-1)\/(208\/(-560))).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -50*m + 54 + 89. Solve -3*j + 5*f = -7, -m*j - 2*f = -3*f for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -3*u**2\/2 - 2*u + 4. Give p(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 6*i**2 + 2*i + 4. What is m(4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3149579 rounded to the nearest 10000?\nAnswer: 3150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 4168 divide 2270080360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 p, and 1 f when three letters picked without replacement from ljjljjffjfxjjjpz?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 42*(188\/6 + -4). Suppose 0 = 3*r - 8 + s. Round r to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 4*l + t - 4 = 0, l = 2*t + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -6009247 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 + (2 - 1196\/132). Sort h, 4\/9, 3 in descending order.\nAnswer: 3, 4\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -44, -45, -40, -23, 12, 71, 160, 285?\n\"Answer: x**3 - 3*x**2 + x - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0068832 rounded to four dps?\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1189 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183346 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -54, -101, -174, -285, -446, -669?\n\"Answer: -2*o**3 - o**2 - 30*o - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-12) - 260\/(-3). Calculate the highest common divisor of 29 and b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*r**3 - 33*r**2 + 66.\nAnswer: 6*r**2 - 66*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/32*4*6)\/((-129)\/(-2)).\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.65 + -0.03. Let f = 0.1 - 0.7. Let r = f + l. Are 1\/3 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*w**3 - 114020*w**2 + 304160*w = 0. What is w?\nAnswer: -7604, 0, 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -63614*r**3 + 77600?\nAnswer: -190842*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 128*a**2 - 66*a - 9. What is the tens digit of f(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.29427383617 to three dps.\nAnswer: 0.294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 47189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 17 - (-6 + -34) - (3 + -7 - 6).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.2, 7, -15, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -179114 by 354.\nAnswer: -89557\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 3129*d - 3134*d + 4*f, 2*d - 10 = 3*f for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199 = -f + 186. Differentiate 191*x - 85 - f*x + 198*x with respect to x.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17440285?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 4)*(-3 + 6*n + 3)*(-1 - 3 + 2 - n).\nAnswer: -6*n**2 - 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 778, 1554, 2330, 3106, 3882, 4658?\nAnswer: 5434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3*3)\/(-2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 16644 = -2*s - 2*s, -6*s - 5*g + 24976 = 0. List the prime factors of s.\nAnswer: 2, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 k when three letters picked without replacement from {e: 13, k: 2, z: 3}?\nAnswer: 13\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**4 - 810*z**3 + 81675*z**2 - 3645000*z + 60750000 = 0. What is z?\nAnswer: 60, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/22 and 49\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 + 3 + (-51 + 18 - -65)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-15) - 66\/330?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 202010102121111 (base 3) to base 15\nAnswer: e1443d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56671 + 56666. Let z(m) be the second derivative of -m**3\/2 + 3*m**2\/2 + 4*m. Calculate z(k).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44699557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 - 35. Let v be n\/1 - 3\/3. Let m be -3 - 6*(0 - 1). Solve k - 23 = -m*k + p, 5*k - 3*p - v = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 31418 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 14*r**2 - r - 11. Let k be v(-14). Suppose x - 1866 = -k*x - 2*g, 3*x - 3*g - 1422 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -9*h**3 + 10*h**2 + 5*h - 5. Let u(s) = -2*s**3 + s**2 + s - 1. Let x(y) = 10*u(y) - 2*v(y). Factor x(a).\nAnswer: -2*a**2*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/(q\/((q\/(q**(-8)*q)*q)\/q*q)*q))\/q)\/(q\/(q**(-12)\/q))*q**(6\/13)*q*q**(-16)*q assuming q is positive.\nAnswer: q**(-254\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -106109, -424201, -954355, -1696571, -2650849, -3817189, -5195591?\n\"Answer: -106031*r**2 + r - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 - 0.7. Let l = -106 + 102. Let z = -1913\/13 - -147. What is the nearest to f in l, -3\/4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 1 - -3 - (-1 + 7)) + (-102 - -19).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7381500.8000035 - -7381497. Let m = v + 3.8. What is m rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01963897329 rounded to three decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 0.5, -152, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 80938621 a multiple of 379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 352.8 times -5\nAnswer: -1764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76 + -48. Let o = 22 - l. Which is the biggest value? (a) -2 (b) 3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 10:11 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - y = -7, 2*j - 120 = 2*y - 128 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g - 2. Let t be z(-1). Let h = -29\/4 + 253\/36. Which is bigger: h or t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 21. Let k(v) = -3*v + 63. Let q(f) = -6*k(f) + 17*l(f). Let s be q(24). Put 2, s, -9 in descending order.\nAnswer: s, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(2\/9)*q)**(3\/10)*q**4\/q*q*q*q**(10\/7))**(-13\/6) assuming q is positive.\nAnswer: q**(-9503\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 388951463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/90031 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k**2. Let r(m) be the first derivative of -m**3 + 112*m + 5442. Give p(r(y)).\nAnswer: 36*y**4 - 2688*y**2 + 50176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vypvhyiyiiyy. What is prob of sequence vhy?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 246 and 12285.\nAnswer: 1007370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 2*x. Let m = -16 + 1. Let i(d) = 6*d**3 + 15*d. Give m*z(j) + 2*i(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 20, 50, 94, 152?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10434 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 974*x - 9707. What is k(10)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*o**5 + 579*o**3 + 2*o - 255817.\nAnswer: 300*o**3 + 3474*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-4\/3)\/z*z\/z**(1\/29) assuming z is positive.\nAnswer: z**(-119\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1688058 is divided by 1821.\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 2241 + 223 = 0. Solve -25*u + 51 = o for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*(sqrt(833) + sqrt(833)*1 + 0 - 4*-2*sqrt(833))**2*-4.\nAnswer: -999598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 3*v. Let c(a) = a - 4. Let p be c(6). Let i = p + v. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fgvzr. Give prob of sequence fvr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-10))\/((-39)\/(-15)). Suppose 9 - 11 = -2*k. Suppose 5*i + 25 = 5*g, -2*g + i + 10 = -2*i. Which is the smallest value? (a) k (b) g (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 12:40 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23537699 or -23537698?\nAnswer: -23537699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 + 0*u - 2 + 7*u**2 + 4*u. Is j(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -1, -831, -2 in ascending order.\nAnswer: -831, -2, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21627)\/729*(2 + (-20)\/16) - (-11 - 0)?\nAnswer: -45\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-110)\/(-6) - 1\/3. Let h = -219 + 417. Calculate the highest common factor of h and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26893 at most as big as 26891?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q - 4. Let r be t(-7). Let i = r - -18. Suppose i = a + 4*x - 20, 2*x + 85 = 4*a + 5. Solve v - a = 6*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 2*s + 30, -o + 2*o + 2*s = 18. Let j be (-2 + 0)*(-189)\/6. Suppose r = -o*r + j. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55850896?\nAnswer: 2, 3490681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*c**5 + 4*c - 5*c + 27 - 280*c**4 + 280*c**4 wrt c?\nAnswer: 560*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 35*a**2 - a + 16*a**2 - 21*a**2 - 16.\nAnswer: -40*a**2 - a - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - j**4 - j**2)*(32*j + 61*j - 54*j).\nAnswer: -39*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 227*v**2 - 1127*v - 33. Give o(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3378762 divided by 563127\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 475 and 17081.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 26*w**2 + 26*w - 23. Let t be z(25). Factor -9\/2*f**t + 9\/2*f - 3\/2 + 3\/2*f**3.\nAnswer: 3*(f - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -37c452?\nAnswer: 37c457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102195 is divided by 11350.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**4 + 25*w**3 - 41*w**2 + 21*w - 2. Let f(r) = -r**4 + 26*r**3 - 40*r**2 + 21*r - 3. Let u(h) = -3*a(h) + 2*f(h). Find t such that u(t) = 0.\nAnswer: 0, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 78*k - 39. Let l be h(-79). Let b(o) = -o + 100. Let u be b(0). What is the greatest common factor of l and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 17219?\nAnswer: -17218.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -216?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-10)*(-45)\/18*(-8)\/4\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 y when two letters picked without replacement from yyynynnkqnnnk.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -61, -178, -293, -406, -517, -626, -733?\n\"Answer: y**2 - 120*y + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6989*f**2 - 20. Let h(l) = -2328*l**2 + 6. What is -7*h(c) - 2*p(c)?\nAnswer: 2318*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 165736 - 4?\nAnswer: 165732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -91.55489 times 0.01\nAnswer: -0.9155489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 5*o + 5. Let q be k(-4). Let d be q - 3 - 2 - 1. Let n(u) = -3*u + 3. Let j(i) = 4*i - 2 + 3*i - i - 4*i. Determine d*j(c) - 3*n(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1537 + -1542. What is the nearest to -258 in y, 2\/11, 4\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 4, -1, -0.3, -0.024?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 10:26 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -173227389*k**2*z + 5*k*z - 80*k - 16*z - 465 wrt k?\nAnswer: -346454778*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*j + x, -2*j - 3*x = 9 + 3. Suppose -u - 3*v = 0, j*v + 4 = -2*v. Suppose -3*p + 6 = 0, u = 4*n + 3*p - 8. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17da25c - 6?\nAnswer: 17da256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 1017.\nAnswer: 2\/339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -70, -136, -202, -268?\n\"Answer: -66*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128953 is divided by 1439?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -1178 + 510 - v + 533 + (6 - 5 + 0)*(0*v - v - v) + 3 - v - 3 - 1 + 1 - 2*v as x + q*v and give x.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -8*a**3 - 28*a**2 - 180*a - 104. Is w(-14) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1221682 and -1222133 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266 = 5*v - 46. Let w(o) = o**3 + 42*o**2 + 80*o - 46. Let x be w(-40). Which is bigger: x or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b + 10*b**2 + 0*b - 8*b + 2*b**3 as j*b**3 + h*b + u*b**2 + o and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*b**2 + 25*b**2 + 0*b**3 - b**3 + 2 as z + x*b + y*b**3 + k*b**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -1\/4, -6\/5, 0.02, 4 in descending order.\nAnswer: 4, 0.02, -1\/4, -1\/2, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -w**3\/3 + 5*w**2 - 7*w - 13. Let c be q(8). Solve -22 = y + 4*h - c, -4 = h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -536.0293 + 536. Let v = l - 3.9707. Which is the second smallest value? (a) 4 (b) v (c) -5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36584*m**3 + 20436*m**2 wrt m?\nAnswer: -219504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 divided by 2?\nAnswer: -117\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 1. Let a(r) = 355*r**2 - 6. Determine a(y) + 5*g(y).\nAnswer: 350*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1 + ((-5 + sqrt(175)*-2 - sqrt(175))*1 - (sqrt(175) + (-2*2*sqrt(175) - sqrt(175)) + 3)))**2.\nAnswer: -70*sqrt(7) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 82*x + 6753 - 3376 - 3377 in the form a*x + b and give a.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*w)*(4 - 3 - 3) - 18*w - 5*w + 59 + 25*w.\nAnswer: 6*w + 59","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 divided by -70?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16533577867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.6776598 to three decimal places.\nAnswer: 33.678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.0455+-0.1\nAnswer: -0.0545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 37 + 16?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1919 (b) 0.4 (c) 265 (d) -1\/2 (e) 4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -394100 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in 1, -8932, 0.2, 1\/4, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2497, 9952, 22377, 39772, 62137?\nAnswer: 89472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-7)\/(-14))\/((-2)\/(-72)). Let t be ((-26)\/(-39))\/(8\/g). Which is smaller: 2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1883 is divided by 111.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12257 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 1:18 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 9*p - 6. Let c be n(10). Suppose f + y - 1 = 0, -14 = -c*f - y + 2*y. Solve -6*j - f = -5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(-3\/2))**(6\/17)\/(o\/(o\/((o*o*o\/(o\/((o*o**(7\/3))\/o))*o*o*o)\/o)*o)*o)**(-2\/41))**(1\/12) assuming o is positive.\nAnswer: o**(3229\/25092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 34 - 8. Let u be 2*-1*(x\/(-4) + 3). Let t(f) = 16*f + 2. Let h be t(u). Calculate the highest common divisor of 27 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/10 and 5\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, e: 5}. Give prob of picking 1 n and 3 e.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 9:04 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 t when three letters picked without replacement from jssjjsjtjy?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -13. Let r be 9 + (-6)\/(-3) + 0. Suppose -3*n + 1 + r = 0. Calculate the remainder when k is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 4:33 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4.815697 centuries?\nAnswer: 48.15697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17\/30 + -1\/6. Let k = -14.731 + 633.631. Let f = k + -619. Which is the nearest to f? (a) -1 (b) t (c) -3\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1631 + 1634. Solve -2*k + 10 = 5*p, c*p = -0*k - 3*k + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25073662*d**4 + 29895329 wrt d.\nAnswer: -100294648*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chch when four letters picked without replacement from {h: 7, c: 3, x: 1, y: 1, j: 1}?\nAnswer: 21\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((-33)\/((-3)\/1)). Let q be 1\/2*2*1. Let k = q - 2. Is k != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 114?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t + 3*t + 11*t)*(3 + 0 + 5) to the form b + v*t and give v.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 - 2*o**2 + 2*o**2)*(-15*o**2 + 65 - 65).\nAnswer: 45*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -121, -3\/4, -5, -1\/29?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330362*s**4\/11 + 330364*s**3\/11 - 1982170*s**2\/11 - 12*s\/11 = 0 for s.\nAnswer: -3, -1\/165181, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 30.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 83084533433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (49\/(-14) + 3)*73\/(-124) and 89\/48.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35020 a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + -4)*(-10)\/75. Let v(f) be the third derivative of 0 - 2\/3*f**3 + 0*f + 4*f**2 + n*f**5 + 7\/12*f**4. Determine q, given that v(q) = 0.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 192943 and 28426?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -2\/7, 32\/3, 1\/4 in ascending order.\nAnswer: -2\/7, 0, 1\/4, 4, 32\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -16. Solve 4*x + 8 + 0 = b for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2841959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -1, -1638, 1 in increasing order.\nAnswer: -1638, -5, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -154.15 rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000034407 rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*v**3\/11 - 30524*v**2\/11 - 906720*v\/11.\nAnswer: -2*v*(v + 30)*(5*v + 15112)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.156 and -483.\nAnswer: 75.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -21, -21, -19, -15, -9, -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -306.4 - -1.2094\nAnswer: -305.1906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -466062 times -0.26?\nAnswer: 121176.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 8:00 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 7*l = -3*l - 19, -3*h = -l + 9. Which is bigger: -99\/101 or h?\nAnswer: -99\/101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (1 - -3)) + (43 - 42).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 5*q**9\/504 + 29*q**6\/120 + 179*q**5\/60 + q**3\/6 + 3*q**2 - 917*q. Find the third derivative of z(v) wrt v.\nAnswer: 600*v**3 + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -61*d**3 + 70*d**3 + 204*d**3 + (2*d**3 - 3*d**3 - d**3)*(-1 - 2 + 2) as t*d + p + v*d**3 + o*d**2 and give v.\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90222?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8619 - -25867\/3. Factor 3*c - 1\/3*c**2 + k.\nAnswer: -(c - 10)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*p + 4*u + 33, -4*p + 2*u + 70 = 0. Suppose 0 = -p*f + 83 + 125. Sort f, -3, -2 in ascending order.\nAnswer: -3, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 v when three letters picked without replacement from {v: 2, e: 1, n: 2, a: 2, l: 4, q: 6}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -10*i**7\/21 - 14*i**3\/3 + 14*i - 17. Let f(h) be the first derivative of r(h). What is the second derivative of f(s) wrt s?\nAnswer: -400*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 13*j**2 - 2*j - 1. Let t be m(-1). Suppose -3*o + 0 = -2*v + 3, -o = -5*v + t. Suppose 0*f - 36 = -v*f. Solve 6*u - f = 3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (15\/5)\/((-15)\/(-20))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1620) + -2*sqrt(1620))\/(sqrt(100) + sqrt(100) + 2*sqrt(100) + sqrt(100)) + 5.\nAnswer: -9*sqrt(5)\/25 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 14, b: 1}. Give prob of picking 2 a and 1 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.9472*15.4\nAnswer: -14.58688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o - 6. Calculate v(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 836 - 881.1. Let i = 49 + d. Let w = i - -0.1. Which is the second biggest value? (a) w (b) 0.3 (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvtvbphpppvpvpbba. Give prob of picking 1 t and 1 v.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12021100001 (base 3) to base 13\nAnswer: 382c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from myymymymyyy. Give prob of sequence ymy.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 - 40. Let h = 16 - 26. Let u = h + t. Sort 0.4, -0.3, u in ascending order.\nAnswer: -0.3, u, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/5 - 296*o.\nAnswer: -2*o*(o + 740)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4965251834 to the power of 1\/2, to the nearest integer?\nAnswer: 70465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -495*m**6 - 53*m**3 - 6*m**2 - 14*m + 443.\nAnswer: -59400*m**3 - 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/16 and 3\/40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwsswwwbbbbw. What is prob of picking 1 w, 2 b, and 1 s?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**4\/12 - d**3 + 5*d**2\/2 - 4*d. Let j be r(5). Suppose j = -5*y - 0*y + 125. Is y a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*4*3\/12)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 - 549*g - 12098.\nAnswer: -(g + 23)*(g + 526)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10785 divide 1702759811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1242, -28, 7 in ascending order.\nAnswer: -28, -6, 7, 1242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -2, 8 in descending order.\nAnswer: 8, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76 + -56. Let p(k) = -2*k - 2*k**2 + k - 2*k + 3*k**2 - 14. Let z be p(6). Solve 0 = -s - z*s + d for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**4 + k**4 - k**4)*(706*k - 79696 + 79696) - k + k - 3*k**5.\nAnswer: 2821*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -4. Let y(s) = -p*s + 0*s + 7*s. Let q(z) = -z**2 + 4*z - 3. Let v be q(2). Give y(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -1785*a + 33899. Calculate c(19).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -300827416 + 399\nAnswer: -300827017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (-16 + 2 - (9 + (-51 - -25))).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 2*c + 0*c)*(-2 + 1 + 2)*(-2*c + 1 - 1) + 16*c**2 - 27 + 27.\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1206 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/308)\/((-15)\/21)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -57*z**3 + 7 + 56*z**3 + 3*z**2 + 220*z - 220*z. Let j(v) = -4*v**3 + 11*v**2 + 27. Give 6*j(p) - 22*s(p).\nAnswer: -2*p**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 32?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/4760*14)\/(4\/8)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 14, n: 5}. Give prob of sequence pnnn.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 5 = 3*u. Let w = u + -5. Suppose -x + 4*g = -15, w*x - 130 = -4*x + 2*g. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 9*j + 300. Suppose -5*b - 4*t + t - 174 = 0, -4*b = -2*t + 126. Let q be a(b). Solve 0 = -2*n + 3*n + q for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6187469?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 223 and 1273553.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/11 in 1, -221, 11, -2\/17, -4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 398, 20, 232, 5, -0.3, -2\/21 in ascending order.\nAnswer: -0.3, -2\/21, 5, 20, 232, 398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**4\/3 - 8*k**3 + 46*k**2\/3 + 24*k = 0. What is k?\nAnswer: -1, 0, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 145703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 14*n. Let m be o(-1). Let z be (-36)\/63 - 8\/m. Solve k + z = -4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 566117*w + 20251*w - 6.\nAnswer: -545866*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 118364153521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 985909 + -2025909. What is f rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 3*w + 29 = 0, -9 = -z + 5*w + 11 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((4 + sqrt(162)*1 - sqrt(162)) + sqrt(162) + sqrt(162) + sqrt(162) + -1 + -4)*2 + -4)**2*-1.\nAnswer: -93456 + 5184*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6924 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-756)\/16*(31504\/792 + -40).\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + z - 148 = 0. Suppose 3600 = 40*d - z*d. What is d rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*s**3*y**3 - 679*s**3 + 16*s**2*y**3 - 15*s**2*y**2 + s*y**2 - 2*y**3 wrt s.\nAnswer: 24*y**3 - 4074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.99 (b) 0.4 (c) 2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/(((-3201)\/(-198))\/(-97)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 2. Let a(b) = b + 1. Let v be a(0). Let c = t - v. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2003, 4541, 7475, 11003, 15323, 20633, 27131?\n\"Answer: 33*u**3 + 2307*u - 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -12, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1218 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -51*q - 124. Let s(j) = 13*j + 31. Let f(g) = -9*s(g) - 2*z(g). Let m be f(11). Let l = m + 352. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -60.6996 to the nearest integer.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -314*f**4 - 1034*f**3 - 958*f**2 - 276*f - 38. Let u(i) = 105*i**4 + 345*i**3 + 319*i**2 + 92*i + 13. Let z(m) = -5*s(m) - 14*u(m). Factor z(j).\nAnswer: 4*(j + 1)*(j + 2)*(5*j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 927.9793 litres?\nAnswer: 927979.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*c - 4. Let f(w) = 4*w**2 + w. Let y be f(-1). Let t(z) = z**2 + 1. Let r be t(2). Solve -r*u - c = -y*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*f + 46 = 245, -4*f = 3*v + 126. Let k be 24\/(-228) + (-4108)\/v. Calculate the highest common divisor of k and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*q = 13, 2*y + 4*q - 7 = -21. Suppose -6*j = -2*j. Solve y*t - 4*t = j for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/27 - 29\/(-9). Solve -4*l - t = 5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 20.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -1511020?\nAnswer: -1511024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**2 + 2*z - 23. What is the units digit of v(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/6))**(-38)*m**(2\/19)\/(m*m**(2\/5)) assuming m is positive.\nAnswer: m**(-2174\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210333141.\nAnswer: 3, 23370349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h - 3*h + 7*h + 3*h**2. Let a(s) = 3*s**2 + s**2 - s**2. Give c(a(g)).\nAnswer: 27*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**3*y**2 - 83*n**2 + 61*n*y**2 + n wrt n?\nAnswer: 12*n*y**2 - 166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 - 36.5. Let w = 6.3 - h. Let v(s) = s - 8. Let m be v(6). What is the biggest value in m, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 348012 and 628?\nAnswer: 54637884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/6 and (-1)\/4 - 217\/(-56).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = h + 2*q - 16, -5*q = -4*h + 77. Suppose -25*l + 21 = -h*l. Solve -8 = -l*z - 5*y, -2*y - 4 - 4 = 4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, g: 1, q: 1, f: 1}. What is prob of sequence gfc?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -10*a**2 + 3*a + 6. Let n(r) = -15*r**2 + 4*r + 9. Let i(v) = 7*m(v) - 5*n(v). Let p(t) = -t**2 + 6*t - 3. Let y be p(6). Is i(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + 2. Let t = -14 + b. Is 5 a factor of (-13 + -2)\/(t\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32734929 times -4\nAnswer: 130939716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 4*z = 0. Suppose z*c = c + 1. Let p(y) be the third derivative of -7*y**5\/60 + y**4\/12 + y**3\/6 + y**2. What is p(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence byb when three letters picked without replacement from {y: 3, b: 13}.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hra when three letters picked without replacement from oaoooooobhrahrrborr?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1608037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2\/7, 5, -160, 1, -20 in decreasing order.\nAnswer: 5, 1, 2\/7, -5, -20, -160","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 13 = 5*d - 0*y, -y + 1 = 0. Let i(j) = -j - 6. Let l be i(-8). Suppose -l*n = -3*n + d. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 135*y + 125*y + 80*y - 100*y as u*y + b and give u.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/6*13149\/(-10714)?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 4*u - 4. Let y be (0 + 12\/u)\/(-1). What is the derivative of -18*r**y + 7*r**3 + 0*r**3 + 2 wrt r?\nAnswer: -33*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 7\/24*w**4 - w**2 + 0 + 5*w + 1\/3*w**3. What is p(-4)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/15)\/((-8)\/40). Suppose 0 = -2*s + o*y + 1, -3*s + y = -8*s + 11. Solve -s*z = z - 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a**4 + 3*a**4 + 9*a**4)*(0*a + 4*a - 6*a) + 3*a**5 + 2*a**5 + 11*a**5.\nAnswer: -20*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 658 and 133339.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3\/2 (b) -0.029 (c) -14.74 (d) 3 (e) 0 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 110370 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -1. Let m be (-7590)\/(-135) + 2 + 60\/(-27). Suppose 0*r - m = 7*r. Let n(d) = -2*d + 10. What is r*q(g) - n(g)?\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*j + 44, 2*j - 4*k + 3*k - 41 = 0. Do j and 18 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 3:31 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 2*z - z)*(8 + 403*z**2 - 24 + 15).\nAnswer: -403*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -3*k - 51. Let x = -29 - k. Let y(m) = 2*m**2 - m + 8. Let o(j) = -1. Calculate x*y(c) + 6*o(c).\nAnswer: 2*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/377280720 and 17\/1785240.\nAnswer: 1131842160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 22. Let h be k(-16). Let y be 14\/4 + (-3)\/(-6). Solve 2*g - y*g = h for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 + 0*y**2 - 4*y**2)*((-2*y + 2*y + 2*y**2)*(-y - y + 0*y) - 2*y**2 + 2*y**2 + y**3 + 4*y**3 - 3*y**3 + 0*y**3) + 3*y**5 - 4*y**5 - y**5.\nAnswer: 2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -69.72 and 77652.\nAnswer: -5413897.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 42*u - 4. Let i be t(18). Let q = i + 1251. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c**4 + 2*c**2 - 4 + 67*c**3 - 137*c**3 + 61*c**3 to s*c**2 + f*c + q + p*c**4 + l*c**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 897 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1468 is divided by 98?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475 is divided by 461.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 136341888 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 37*c**2. Let i(u) = 26*u**2 - 10. Let a(m) = 3*m**2 - 1. Let o(z) = 10*a(z) - i(z). What is o(q(f))?\nAnswer: 5476*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-132 + 13*b + 134 + 40*b)*(1 - 1 - b**3).\nAnswer: -53*b**4 - 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-14))\/(276\/(-736)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26488 rounded to three dps?\nAnswer: 0.265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 116230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 32\/24)*(-6 - -2 - 5)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8907 - -1202464\/135. Calculate the common denominator of -37\/195 and p.\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 3*o + 2. Let m be p(-3). Suppose 0 = -14*q + 17*q. Suppose 4*k - m*g - 148 = q, 0 = 5*k - g - 23 - 162. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -y**6\/360 - y**4\/12 + 5*y**2. Let p(g) be the second derivative of i(g). Let f(j) = -4*j**2. Give p(f(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*z - 20. Let p(f) = -f**2 - f. Let h(r) = -7*r**2 - 16*r - 2. Let v(n) = z*p(n) + h(n). Let l be v(-9). Is 8 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001100 + 1?\nAnswer: -101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-33) + 0 - (-707)\/77. What is the highest common factor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 752 and 752 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 + 0.17. Let w = 1.1 - -3.9. Which is the third biggest value? (a) w (b) t (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c - 6*c + 48 = 9*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4550 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 636, 1217, 1804, 2403, 3020, 3661, 4332?\n\"Answer: d**3 - 3*d**2 + 583*d + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (3 - (-3 + 7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 752005 - 752005 + 176*l**2.\nAnswer: 176*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -4 + (sqrt(176) - (sqrt(176) - (sqrt(176) + sqrt(176) + -2))))*3 - (3*((1 + sqrt(176) - sqrt(176)) + sqrt(176)) - (-4 + sqrt(176) + 3)))**2 + 3.\nAnswer: -512*sqrt(11) + 3075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lylyyylcyycylylyclc. Give prob of sequence clll.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1349894476?\nAnswer: 2, 7, 823, 58579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 272 + -269. Suppose 10 = -3*f - 5*m, 7*f - 2 = l*f + m. Solve 5*h - 5*a + 26 = -4, -5*a + 5 = f for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*c + 8 = 2*r, 4*c - 2 = 2*r. Put -3, 2, 0, r in decreasing order.\nAnswer: r, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/(-30))\/((-1)\/20). Let f(n) be the first derivative of 15\/8*n**4 - t - 5\/12*n**6 + 1\/2*n**5 - 5\/6*n**3 - 5\/2*n**2 + 0*n. What is z in f(z) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -9*t. Let w(b) = 1095*b**2 + 1633*b. Calculate g(w(k)).\nAnswer: -9855*k**2 - 14697*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 160 - 380\/3. Let x = 34 - g. Which is the closest to x? (a) 0 (b) 0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 + 33. Solve -k + a*p + 5 = 2*p, -4*k - 4*p + 20 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337 a factor of 244118819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - k - 157 = -0*k, 4*v - 192 = -3*k. Let y be ((-1)\/3)\/(v\/18). Let x(u) = -u**2 - 9*u + 9. Let d be x(-10). Is y greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -55, -154, -343, -652, -1111, -1750, -2599?\nAnswer: -3688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00020326315 rounded to six dps?\nAnswer: -0.000203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 5 (c) 0.02 (d) 0.155 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.065? (a) -42 (b) 4 (c) 2 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccciccccicocciciccci. What is prob of picking 1 o and 2 i?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight thirds of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 9. Let v = -11 - -7. Let o = -0.48 - 0.02. Which is the second smallest value? (a) d (b) o (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 428175 divided by -5\nAnswer: -85635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -315 or -316?\nAnswer: -315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 27. Let m(d) = -d**2 - 54. Let t(x) = 7*k(x) + 4*m(x). Let u(c) be the first derivative of t(c). Let r(z) = -5*z. What is u(r(i))?\nAnswer: -30*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 - (-2 - (3 - 5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 + 3609*b + b**2 + 10614483 + 10228*b - 2551*b.\nAnswer: 3*(b + 1881)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - -738.98153.\nAnswer: 739.18153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3837 divided by 2?\nAnswer: -3837\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 100 = -5*u + 99, 4*u = 4*m + 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 20 + 54*u**3 - 22*u**3 - 27*u**3 as w*u**2 + g + d*u**3 + q*u and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + y = 19. Let j = 17 + y. Let h be 2\/56*(4 + j). Do h and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 6 - 2)*(b - b + 2*b**2) to the form s*b + r + n*b**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6832 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.37 - -0.454. Let q = 13.107 - 13.19173. Let m = s + q. Round m to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - (0 - (-3 - -2)). Let u = -6 - -11. Let x be (27\/18)\/((-3)\/(-5)). What is the biggest value in u, g, x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2202)\/((-345)\/(-39) - 9).\nAnswer: 3, 13, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -248294 at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + d - 3*d)*(3*d**3 - d**3 + 0*d**3 - d - 2*d**3 + d + (6 - 5 - 3)*(d**3 + 0*d + 0*d) + d**3 + d**3 - 5*d**3).\nAnswer: 5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.1, 1 in decreasing order.\nAnswer: 1, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 8*q - 15. Suppose 3*s = -q*v - 2*v + 14, -2*v + 10 = -s. Let a(i) = -i + 4. Let p be a(v). Solve -c + 2 - 1 = p for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d = -5*d - 4*k, 4*d + 2*k = 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -24304, -97426, -219364, -390118, -609688, -878074?\n\"Answer: -24408*u**2 + 102*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, 29, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41461090?\nAnswer: 2, 5, 11, 37, 61, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - -150?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 4*t**5 + 108*t**4 + 864*t**3 + 1728*t**2 = 0.\nAnswer: -12, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 + 0.1. Let n = -56856 - -56856. Which is the third smallest value? (a) -0.1 (b) n (c) o (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/222 (b) -0.2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -1\/10*a**5 + 0 + 5\/6*a**3 + 0*a**4 + 0*a**2 - 5*a. What is the second derivative of v(o) wrt o?\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/4 (b) -2.13 (c) 0.56 (d) 0.1 (e) 124\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -5*r**2 - 15*r + 78. Let h(u) = -u**2 - 1. Let k(w) = -4*h(w) + m(w). Let x be k(-19). Solve -2*t = 2*f - x, 0*f - 3*f = -2*t - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12431+-954958253\nAnswer: -954970684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 4697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b - 2*b + b + 2*b + 3*b - 4*b + (2*b + 1 - 1)*(1 + 3 - 2) + (1 - 79 + 16)*(6*b - 2*b - 2*b) + (-2 + 0 + 3)*(-4 - 4 + 2)*(0*b + 0*b + b).\nAnswer: -126*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r + 111 = 35. Solve 3*i + 3*f - 16 = r*i, -29 = 4*i - 5*f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(1\/2)*i*i**(-4)*i*i)**(3\/22))**(-16) assuming i is positive.\nAnswer: i**(-12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*o - 3*o - 161 = 0, -s - 3*o = -43. Calculate the lowest common multiple of s and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-18)*109\/109.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 29 in decreasing order.\nAnswer: 29, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + ((-2)\/(-4) - 5\/(-10)). Calculate the highest common factor of q and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2801691149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-27)\/(-12) - (-1)\/(-4). Let t be (0\/3)\/(x\/(-1)). Solve t = 2*v + v - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 170782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**4 - 2 + 2)*(-45*h - 45*h - 11*h).\nAnswer: 101*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4422445513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -8*r**3 - r**2 - 5*r - 10. Suppose -18*p = 26 + 10. Let s be y(p). What is the highest common factor of 45 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 4*z = 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1078 + 1075. Sort -51, -5, -1\/7, t in descending order.\nAnswer: -1\/7, t, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 9*n + 366 = 11*n. What is the highest common divisor of 427 and n?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1713593881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1807254870.\nAnswer: 2, 3, 5, 17, 401, 8837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/(-5) - (-5 - 4). Solve -w*m = 4*m - 45 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of 0 - b**2 + 1\/44*b**4 - 2\/33*b**3 - 1\/330*b**5 + 0*b. Factor d(h).\nAnswer: -2*(h - 2)*(h - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1499229.\nAnswer: 3, 83, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -20, -94, -254, -530, -952, -1550, -2354, -3394?\n\"Answer: -5*q**3 - 13*q**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 6*m - 2. Let o be x(-7). Suppose -t = -o*t. Find the common denominator of 83\/2 and -4 - t - (-375)\/240.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 13*i**2 + 20*i - 3. Let o be p(11). Let l = -226 - -221. Which is the closest to -4? (a) l (b) 0 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1938.8 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/155 and 133\/30?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 333.3 + -333.6. Which is the fourth biggest value? (a) 3\/7 (b) g (c) -2\/11 (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 26*c - 284. What is the smallest common multiple of y(12) and 128?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k. Let h(x) = -9*x**2 + 3*x + 34173. Determine j(h(p)).\nAnswer: 27*p**2 - 9*p - 102519","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -96 + 46 + 11 - 19?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qduquqqddulqqd. What is prob of sequence uddq?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -7427501*a. Let k(y) = 4*y. What is d(k(h))?\nAnswer: -29710004*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1353, 1369, 1387, 1407, 1429, 1453?\nAnswer: 1479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.63842 decades in months?\nAnswer: 7156.6104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nzbrrnzzdadnd. Give prob of sequence rnzn.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 145740 or 145873?\nAnswer: 145873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 12:46 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j + 394*j**3 + 577*j**3 - 1271*j**3 to the form f + z*j**3 + a*j + b*j**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7676739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 3:35 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 3*s - 14, -2*s - 3*s - 3*d + 30 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 64002 + -27?\nAnswer: 63fdb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -69 - -64. Let p(l) = -l**2 - 3*l. What is p(c)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 382 - 59*p - 190 - 59*p - 192.\nAnswer: -118*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/2 - 10*a**2 + 53*a\/2 - 17.\nAnswer: (a - 17)*(a - 2)*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n + 1. Let c(b) = -6*b - 4. Give c(k) + 8*t(k).\nAnswer: 2*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -23, -57, -103, -161, -231?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6541339um in millimeters?\nAnswer: 0.0006541339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 20*l - 3. Let q be b(20). Let d be (6\/8)\/q - 1\/(-4). Which is greater: -3\/41 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 6*i**2 - 5*i**2)*(7 + 5*i**2 - 6*i**2 - 6).\nAnswer: -2*i**4 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -16. Suppose w + 5 = 0, -4*c + 37 + 47 = -o*w. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -571*u = -474*u + 1261 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ibi when three letters picked without replacement from iiibiiiibbbibiiiii?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 4*v + 3*v)*(45*v - 31 - 47*v - 72).\nAnswer: -4*v**2 - 206*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 174 = -3*b. What is the remainder when b is divided by 7*(2534\/147 - 13) + 1\/3?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2109 + 2109 - 325*c)*(0 - 3 + 1)*(0*c**3 - 13*c**3 - 10*c**3).\nAnswer: -14950*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 0.6. Let f = 3.78 - -0.22. Let x = f - q. Which is the nearest to -1\/2? (a) -1 (b) x (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5\/4 + 3029*c**4\/4 + 1149125*c**3\/2 + 3438293*c**2\/2 + 6870533*c\/4 + 2289169\/4.\nAnswer: (c + 1)**3*(c + 1513)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + t + 1050 = 0. List 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 the value of ((-52)\/16)\/13*(23\/1 + 5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i - 32. Let g(h) = h. Calculate g(d(s)).\nAnswer: -2*s - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, q: 1, m: 4, d: 2, s: 3, u: 6}. Give prob of sequence dms.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-130)\/(-20) - -2) + -10?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 10:53 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 61668025 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -22310032 (base 4) to base 2\nAnswer: -1010110100001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50.544 - -51. Round g to two decimal places.\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i + 5*i - 2*i**2 - 10*i.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2. Let m = -1331\/6 - -222. Let a(z) be the second derivative of 0*z**2 - m*z**3 + 0 - z. Calculate a(q(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-56)\/(-10) + 16\/40. Suppose u - 7 = -y + 3*u, -3*u - k = 0. Let i = y - -5. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*h + 742 = 116*h - 610 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9, -5, 8, 1, -420.\nAnswer: -420, -5, 1, 2, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -792*j**2. Let z(f) = 113*f**2. Calculate 3*y(i) + 20*z(i).\nAnswer: -116*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 3:26 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 20 - 12*q**3 + 23 + 27 to the form r*q**2 + l*q + k*q**3 + g and give g.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 1\/8, -23, -0.02, 1\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14417)\/(-195) + (-7 - -9) - (-4)\/(4 - -56)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h + 13. Let j be s(-4). Is (2 - j)\/(-1) - -157 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4*-2*(sqrt(242) + -1*sqrt(242))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, z: 1, p: 12}. What is prob of sequence bp?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -193317\/55 - -3515. Let l = -18\/55 + g. Sort 0.4, -23, l, -2 in descending order.\nAnswer: 0.4, l, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7615\/(-25)*(-6 - 0). Let x = g - 1838. Let n = 538549\/49410 - -2\/4941. What is the common denominator of x and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/11, -22, 2\/21, -0.5, -8.04?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 5*s + 15, 2*s - 6 = -2*p + 3*s. Let y(d) = -d**3 + 1. Let v be y(-1). What is the second derivative of -f**p - f - 2*f**v + 2*f**2 wrt f?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1329 = 7*a + 1231. Solve -8*f + a = 38 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - 2 + 2 + 20*r.\nAnswer: 23*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.9284 - -0.0716. Put 3, m, 0.3 in increasing order.\nAnswer: 0.3, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8488*7943\nAnswer: -67420184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 334?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/7)\/((6\/(-3))\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28.68 + 28.88. What is the fifth smallest value in y, 6, 3\/7, 1, -3\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 1081*l**7\/7 + 325*l**3 - 705. What is the third derivative of q(r) wrt r?\nAnswer: 129720*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1868 and 1262584002.\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*v + 536448 = 0. Suppose -v = -15*g + 51399. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -7) + -19 + 20 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1886989 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 299, 462, 603, 728, 843, 954?\nAnswer: 1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c - 26*c + 7*c.\nAnswer: -32*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1462450 (base 9) in base 6?\nAnswer: -25200330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**3 + m**3 + 3*m**3)*(-3 - 3 + 1).\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*l - 4*l = -45*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 4.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6422073 or -6422063?\nAnswer: -6422063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -16*t - 810. What is w(-60)?\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*a - 5*j = -8, -5*a + 12 = j. Let x = 2.9545 + 0.0455. What is the closest to -6 in x, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 2a031d3?\nAnswer: -2a031d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 1307, 9, 0.1?\nAnswer: 1307","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 74546945 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 5 + 10. Suppose -3*w = 3*z + 2*w - 2, 0 = z - f*w - 24. What is the remainder when (-174)\/(-9) + 6\/z is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -69\/4. Let i(y) = -y**2 + 3*y + 2. Let m be i(4). Let c be ((-3)\/(-4) + m\/8)\/(-1). Which is greater: d or c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1133 - -1138. Suppose 10 = 2*m - 3*x, 15*x - 19*x + n = m. Let k = -0.5 + 0.8. Sort -0.4, m, k, 0.5 in increasing order.\nAnswer: -0.4, k, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t - 166 = -496. Let a(j) = t*j**2 + 17*j**2 + 8*j**2. Let b(s) = 16*s. Let h(w) = 3*w. Let y(k) = -4*b(k) + 22*h(k). Give a(y(u)).\nAnswer: 220*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2. Let v(o) = -2*o**3 - 6*o**2 + 7*o + 2. Let m be v(-5). Suppose m - 7 = 4*i. Let c(l) = -16*l - 3*l**2 + 31*l - i*l. Determine c(k(z)).\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4293749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 124257185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h + 10. Let y be i(5). Suppose -5*l + 16 + 44 = y. List the prime factors of 26*(l\/8)\/3.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 309, 969, 2061, 3573, 5493, 7809, 10509?\n\"Answer: -2*l**3 + 228*l**2 - 10*l + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 501082, 500968, 500854?\nAnswer: 500740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -36 and -1506.\nAnswer: -1542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -h - 3*s - 7, 0 = 4*s + 12. Let l = h + 6. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 21*y**2 - 7*y - 7. Let z be l(-1). Suppose 0 = 2*m - 0*m - 42. Suppose z + m = 3*d. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.06183 + 0.06183. Which is the nearest to y? (a) -3\/7 (b) 5 (c) -4 (d) -25\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2370 = -153*l - 408 + 636 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*l**2 + 0*l**3 + l**3 - 8*l**2 - 67*l**2.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*b = 102, -4*b = -15*f + 16*f - 97. Suppose 17*h = f*h - 65640. List the prime factors of h.\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(2\/7)*x**(-20) assuming x is positive.\nAnswer: x**(-135\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - z + 100 = 0. Let m(v) = 6*v**2 + 18*v + 45. What is the units digit of m(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -15.357 and -0.070401644.\nAnswer: -15.427401644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xaeeoxrrrxraexuxxoar. What is prob of picking 2 x?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 131322 (base 5) in base 8?\nAnswer: 12134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62 and 371194?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2603 = 37*h - 4212 + 2460 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2. Let y(q) = 6873*q**2. Determine y(z(g)).\nAnswer: 27492*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-3)*(-22)\/((-484)\/99)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-5))\/((-702)\/60 + 12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c**10\/c))\/c)\/c*c*c**(-2\/15))**(19\/5) assuming c is positive.\nAnswer: c**(-2888\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 525 and 1281?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4777 + -4775. Put -20, -4, 3, g in increasing order.\nAnswer: -20, -4, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2 - 2) + 1 - -120)*3. Let f = d - 208. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56234 (base 11) to base 14.\nAnswer: 21994","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) -1.5 (c) 0.02 (d) 4 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1178 - 2.31443752.\nAnswer: -1180.31443752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/(-15)*(6 - 1). Let y = 28 - f. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34115*a + 68132*a - 34015*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 63*u**2 + 574*u + 101. Calculate p(-52).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -103*l + 26 + l**3 - 2*l**3 + 21 - 47 to the form x*l**3 + b*l**2 + k*l + a and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 11122?\nAnswer: -11122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-1\/14)*n)\/n*n)\/n)\/(n\/n**(4\/19)) assuming n is positive.\nAnswer: n**(37\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -384, -861, -1320, -1755, -2160, -2529?\nAnswer: -2856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17842 (b) -1\/8 (c) -1\/4 (d) 5 (e) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 21*x**2 - x + 10. Let o = -12735 - -12756. What is d(o)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/996 and (4\/6 - (-14)\/(-30))\/(132\/13530)?\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1574 a factor of 3014349730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3378 - 2148. Does 30 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 1)\/(16 - 2).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 6 = -6*v + r, 5*v = 4*r + 1. Let m be (0 - v)*(-3 - -3)\/8. Solve h = -m*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1220002 (base 3) to base 15.\nAnswer: 61e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.7 and -584464139.\nAnswer: -584464141.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1013 - -1017. Which is the closest to 9? (a) h (b) 2\/9 (c) 5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/18)\/((-152)\/57)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 155*a**6 + 55*a**2 - a + 2*a**6 + a wrt a.\nAnswer: 18840*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 77\/(-3) + (-58)\/(-87). Let h = q - -13. Let y(g) = -18*g - 23. List the prime factors of y(h).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1699 is divided by 278.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -154 - -153.999337. What is i rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -199*r + 44. Let n(g) = 20493*g - 4531. Let x(c) = -2*n(c) - 207*q(c). What is the first derivative of x(l) wrt l?\nAnswer: 207","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x - 59. Let y be i(19). Suppose y*d = 22*d - 10. Let g(c) = 13*c**2 + c**2 + 16*c**d. Let j(n) = 2*n**2. What is g(j(k))?\nAnswer: 120*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 + 120?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 54179094511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 23*r + 1. Let i(f) = -2*f - 5. Let o(j) = -j - 1. Let z(v) = i(v) + 2*o(v). Calculate the remainder when m(1) is divided by z(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 34*m + 2 - 2 - 98*m + 65*m. Let g(r) = 3*r - 4*r + 10*r. What is y(g(u))?\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(187)*-3 + (sqrt(187) - 3*1*sqrt(187)))\/(-3*sqrt(99) + (sqrt(55) - sqrt(440)\/sqrt(8))\/sqrt(5))*-1.\nAnswer: 7*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b**2 + 44148*b + 88280 = 0.\nAnswer: -11035, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 5\/2*o**2 + 1\/3*o**3 + 1 + 1\/12*o**4 + 0*o. Let a(s) be the second derivative of x(s). Calculate a(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4325b1 (base 15) to base 6.\nAnswer: 152310504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10887 and 988?\nAnswer: 566124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (7 - -3) - (0 + (5 - 12)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 - 1 + 1)*(-8*r - 25*r - 2 + 44*r).\nAnswer: -363*r + 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -5*j + 4, 5*f + j - 72 = 0. Suppose 0 = -5*d - 0*d - 5*i + f, 2*i + 50 = 5*d. Suppose -d = -4*s + 4. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(275)*1)**2 + 0 + (2*sqrt(275) + 0)**2 + (2*sqrt(275) + -1)**2 + -5.\nAnswer: -20*sqrt(11) + 2471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -213. Let x = f - -97. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5088 - -5838. What is the remainder when x is divided by 126?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9056056*c + 3018634*c + 3018668*c + 3018641*c.\nAnswer: -113*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -2\/11, -3, 1.5 in increasing order.\nAnswer: -3, -4\/7, -2\/11, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 147837473 to the power of 1\/2, to the nearest integer?\nAnswer: 12159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 1) + 3 - (0 - 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 140.14239 and -1259.\nAnswer: -1118.85761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4710*z - 4712*z + 74 = 0 for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1135*a = 1127*a - 136 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27999 + 27999 - 10334*g)*(g**2 + g - g) to s*g + n*g**3 + f*g**2 + r and give n.\nAnswer: -10334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c*(c*c*c**(-8)*c)\/c)*c*c\/c**33*c*(c*c**24*c*c*c)**(-3\/25) assuming c is positive.\nAnswer: c**(-684\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l + 18923 - 18923 - 5*l - l.\nAnswer: -17*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 18 = -4*r - 0*f, 2*r = -2*f + 8. Let m = r - 11. Let u(a) = -a + 9. Let d be u(7). Put m, d, -4 in decreasing order.\nAnswer: d, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -249 divided by -840\nAnswer: 83\/280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -54, -88, -136, -198, -274, -364?\nAnswer: -468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4 = -m. Suppose 6*r - m*r = 8. Solve k - 3 = 5*i - 28, -4*i + r*k + 20 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23402 to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 356582.3973 rounded to the nearest 100?\nAnswer: 356600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-418)\/22 - -11) + 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 117 - 73. Calculate the remainder when g is divided by 28.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 60, 94, 114, 114, 88?\n\"Answer: -q**3 - q**2 + 44*q + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.4, 1\/2, 2, 2\/3 in decreasing order.\nAnswer: 2, 2\/3, 1\/2, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 4\/5, 4, 1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37416 + 2619167\/70. Find the common denominator of s and -39\/80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 25*s**2 - 4001*s + 110190. Give t(27).\nAnswer: 705","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25127*y + 19620 = 24909*y for y.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y. Let p(u) = 5*u + 2. Let q be (-1 + 2)\/(1 - 2). Let k = -269 - -265. Determine k*s(g) + q*p(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-96*s - 115 + 115)*(-2*s + 3*s - 5*s).\nAnswer: 384*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -126? (a) 2\/5 (b) 2\/13 (c) -3 (d) -0.1 (e) -4 (f) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 22424, 44854, 67286, 89720, 112156?\n\"Answer: d**2 + 22427*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8 - (-7 + 27))\/2. Let m be ((-21)\/(-12))\/(2\/(-8)). Are v and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.6+0.143\nAnswer: -12.457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*h**4 - 1569*h - 16999 wrt h.\nAnswer: -36*h**3 - 1569","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 330 - 329.81. Let t = 1.4117 - 1.60329. Let l = c + t. Round l to four dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 6*z + 25. Suppose 0 = 2*w - 6*w. Suppose 0*y + 24 = 2*y + z*f, -5*f = w. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -8. Let o(i) = i**2 - 10*i + 7. Let f be o(c). Is ((-47)\/(-2))\/(-1)*f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 5*x - 5 = 4*w, -3*x - 3 = -5*w. Solve z = -w*z + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1734884)\/25513*(-1 - (-2)\/4)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g - 8*g - 4*g)*(-5*g - 7*g**2 + 5*g) + 3*g**3 - 3*g**3 - 3*g**3 - 3*g**3 - 15*g**2 + 15*g**2.\nAnswer: 36*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*n**2 + 2*n**2 - 7*n**2)*(11 + 9 - 34).\nAnswer: 28*n**2 - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.91 - 1.05. Let f = x - 0.66. Let s = 4.3 - 4. What is the nearest to f in s, 3, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/(1127\/(-42))*175\/25.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -7*o**3 - 4*o**2 - o - 2. Let z(v) = 6*v**3 + 4*v**2 + 2. Let c(w) = -5*p(w) - 6*z(w). Calculate c(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 89 - 89. Suppose 2*t - 24 + 16 = x. Suppose -2*f + 10 = -4*a - 0, -a + 2 = f. Solve t*y + 15 = f for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8686577.2 rounded to the nearest 100000?\nAnswer: -8700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 263, 247, 221, 179, 115?\n\"Answer: -j**3 + j**2 - 12*j + 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -893*h + 871*h + 1254 = 0. What is the least common multiple of 1932 and h?\nAnswer: 36708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - -3. Suppose -4*u = 5 - d. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/13)*j)\/(j*j**(1\/7))*j**5*(j**0\/j)\/j assuming j is positive.\nAnswer: j**(274\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - i + 0*i)*(-6*i - 1 + 3*i + i)*(-4 - 3 + 4).\nAnswer: 24*i**2 + 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 3*j**2 - 12. Let z be w(-4). Find the common denominator of 101\/24 and 622\/(-252) + (z\/36 - 3).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(27\/18*(-8)\/(-6)). Suppose k = -8*c + 40063 - 4695. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 1 - 1404206*x**2 + 1404206*x**2 + 2*x**3 + 50*x to v*x**2 + k*x + h + w*x**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9119 - -7837. What is the closest to -0.1 in y, -6\/11, -1, -3?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -1. Let c(j) = -1 + 0*j + 0*j - 2*j. Suppose 2*z - 5*q - 10 - 11 = 0, 2*z - 25*q = 121. Let u(y) = -1. Calculate l*c(b) + z*u(b).\nAnswer: 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 79*c**2 - 77*c - 9. What are the prime factors of r(-15)?\nAnswer: 3, 7, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqaaaqaaaqqaaa. What is prob of picking 2 q?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*m = -15, 4*m - 4 = -24. Calculate the remainder when 196\/(1 + h + 1) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*(u*u*u\/u**(-12)*u)\/u*u))**7*u\/(u\/(u**24*u))*(u*u\/(u**(-1\/14)*u))\/u*u assuming u is positive.\nAnswer: u**(-1203\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, 5, -2\/151, 1\/4, 2\/281 in descending order.\nAnswer: 5, 1\/4, 2\/281, -2\/151, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 4*r, 12 = 3*k - r. Let d(g) be the first derivative of g**2\/2 + 4*g - 1. What are the prime factors of d(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 252 divided by 126\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129 - (-27 - (-19 + 21 - 11)).\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f - f - 4 + f + f. Calculate n(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 6 = -3*t. Suppose 75 = 3*h - t. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -1, 40 in descending order.\nAnswer: 40, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7476, -15318, -23518, -32070, -40968, -50206?\n\"Answer: z**3 - 185*z**2 - 7294*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283439566?\nAnswer: 2, 2731, 51893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 1246*i - 48074. Give d(39).\nAnswer: 520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 45 = 6*j. Solve 4*d + 8*u = j*u - 8, -5*d + u = -19 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -76caf88?\nAnswer: -76caf88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -498985 less than -498962?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {v: 5, m: 7}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-126*m - 2 - 149*m + 72*m)*(-m - 4*m + 0*m).\nAnswer: 1015*m**2 + 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 169 = -2*r + 168, d - 11 = 2*r for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 6, 3*k - 2211 - 1059 = -4*d. What is the highest common divisor of 255 and d?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4552974, -9105951, -13658928, -18211905, -22764882?\nAnswer: -27317859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 2*o + 35. Let r be l(0). Let k = r + -9. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5413 + 402. Suppose -3*r + l = -i, 2*r + 4*l - 8*l = 3890. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 3:29 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/9*-3 + 15. Let t(w) = 4*w**2 + 116*w + 114. Let q be t(-28). What is the highest common divisor of z and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58 - 13 + 28)*(1 - 70*a**2 + 77*a**2 - 3).\nAnswer: 511*a**2 - 146","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 2*n**2 + n + 3. Let h = -67 - -65. Let l be (3\/h)\/(11\/(-22)). What is i(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**2 + 0 - q**3 - 4*q**2 + 2*q**2 - 2 in the form k*q**2 + i*q + x*q**3 + f and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c - 1. Let r be j(-3). Factor -34*i + r + 4*i**3 + 9*i + 13*i.\nAnswer: 4*(i - 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 135 - 11234?\nAnswer: -11055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + 16 - 8) + (-1 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -306, -3442, -12736, -31518, -63118, -110866, -178092, -268126?\nAnswer: -384298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 1:40 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(475) + 4 + -1*sqrt(475)*-4)*-4*5 + -4.\nAnswer: -500*sqrt(19) - 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100 + 0?\nAnswer: -100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 5:48 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3 = -3*u. Let b(l) = 16 + 16*l - l**2 - 29*l - 49. Let r be b(-6). Calculate the greatest common divisor of r and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13b6 (base 14) in base 13?\nAnswer: -1788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o - 1. Let c be j(20). Suppose -4*q + 15 = -5*t, -5*q + 3*t + 16 = -c. Let z = 12 - q. Solve 4*a = z*v - 14, 5*a = a + 4*v - 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45656*k - 62 + 32 - 29115*k + 28.\nAnswer: -74771*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2040, 0.3, 0.2, 0.5, 0.1.\nAnswer: -2040, 0.1, 0.2, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 + -10. Let t = -37 + n. Let h = 23 - t. Calculate the highest common factor of 63 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 - -21.8. Which is the smallest value? (a) -0.5 (b) 5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z*z*z\/(z*z*((z*z*z**20)\/z*z)\/z*z))\/z*z\/(z*((z**(-20)*z)\/z)\/z))\/(z\/z**(-2\/63)*z*z**16) assuming z is positive.\nAnswer: z**(-1136\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73910 is divided by 119?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -4*s + 32, s + 549241*m - 549275*m = 276 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1045\/3 - (-7)\/(-21). Suppose 4*o = -5*k + 476, -k - 5*o - i = -5*k. List the prime factors of k.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1355220?\nAnswer: 2, 3, 5, 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-1\/4)*s**2*(s*s**(-1))**28 assuming s is positive.\nAnswer: s**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7237 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -179 + 153. Suppose 3*x - 29 = 2*x. Calculate the remainder when x is divided by a\/(-2) - (7 - 16\/4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -42. Let t = -38 + w. Suppose -4*v - 18 = -t*r, 2*r + v - 3 = -0*r. Do r and 5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - 0 - (0 + -6). What is the highest common divisor of j and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -122*n**3 - 75*n**2 - 17. Let t(p) = -44*p**3 - 25*p**2 - 6. Give 17*t(h) - 6*v(h).\nAnswer: -16*h**3 + 25*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c + 2. Let y be v(4). Let d(j) = 19 - j**2 + 35 + 0*j**2 - 53 - 3*j + 4*j. Let h(r) = -15*r**2 + 10*r + 10. Determine y*d(l) + h(l).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91832454, 2\/5, -1\/5 in increasing order.\nAnswer: -1\/5, 2\/5, 91832454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003742 to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uujvrijuuuvvej. Give prob of picking 1 e and 1 u.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**3 - 12761*u**2 + 89180*u - 7. Determine j(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284725?\nAnswer: 5, 7, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -396219 or -396210?\nAnswer: -396210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 3)*(46 - 45)*2\/2. Let q(p) = p**2 - 6*p - 5. Let d be q(7). Solve d*n = -u - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 100.67987 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 781*v**2. Let d(l) = l. Calculate t(d(q)).\nAnswer: 781*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4118565 or -4118564?\nAnswer: -4118564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 616 + -609. What is the derivative of -24*f**3 + 8*f**3 + u*f**3 + 173 + 10*f**3 - 31*f**2 - 45*f**2 wrt f?\nAnswer: 3*f**2 - 152*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 420*c + 14. List the prime factors of y(1).\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69725208.\nAnswer: 2, 3, 7, 415031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2682 + 0.0682. What is the second biggest value in -1.1, -3, k?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 11:33 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2298 - 1258. Suppose -23*p + g = -7*p. Let z = p + -69. Sort 29, z, 1\/2 in ascending order.\nAnswer: z, 1\/2, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*i + 6 = 0. Suppose -253 = -5*m + 4*v, 4*m = -0*m + i*v + 202. Suppose -a = -3*l - 15, -4*l + 9*l + m = 3*a. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - l - 7. Let c be n(-7). Let g = -29 + c. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + -3)\/(1\/5). Suppose -c*p + 5*v = -45, 2*p + 5*v - 54 = -2*p. Is 11 less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 4*x - 1. Let a be i(-6). What is the greatest common divisor of a and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 4\/7, 2\/11, -387\/5, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*h + 128*h + 15 - 15 - 60*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 43*s + 1359. List the prime factors of d(-55).\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4319.97379 - 4320. Round h to four decimal places.\nAnswer: -0.0262","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 6. Let h(t) = 5*t - 1. Let a(c) = 13*c + 1. Let p(y) = -19*y - 2. Let q(l) = -8*a(l) - 5*p(l). Calculate g*h(o) + 3*q(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 - 5 + 9*c**3 + 4*c - 19*c + c**3 + 5*c**3 + 10*c**4.\nAnswer: 5*(c - 1)*(c + 1)**2*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0197 - 2.0197. Is 2\/73 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/2*(2 + -10). Let d be (-44)\/w + 5\/(-25). Calculate the highest common factor of 10 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4831683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/17657 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l - 1. Suppose 20 = 4*n + 6*n. Suppose 0 = -100*v + 91*v + 54. Let j be n\/v + 319\/87. Let i(z) = 4*z - 2. What is j*w(s) - 2*i(s)?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -7*c + 251. Let v(h) = -3*h - 4. What is o(l) - 2*v(l)?\nAnswer: -l + 259","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 80, 1.6, 2\/11, -3\/8?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14934 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 7*n - 71. Let f be x(9). Let k be 78\/27 + f\/(-72). Let d = -1 + 5. Solve j - 18 = -d*j + 2*y, 5*j + k*y = -2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1069 + 519 + 4788 + 14930 = -318*c for c.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (366\/1377)\/(3*(-10)\/(-18)). Let g = 4\/153 - y. Put -1\/47, -0.4, 0, g in ascending order.\nAnswer: -0.4, g, -1\/47, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + o - 6*o - 875, 2*g + o = 441. List the prime factors of g.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2874 + 3152. Calculate the remainder when p is divided by 224.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*h + 697, -2*i - i = 5*h - 1185. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.4578234 months?\nAnswer: 0.003815195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5668 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -235, -458, -683, -910, -1139, -1370?\n\"Answer: -q**2 - 220*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrhhyyyhyhy. Give prob of picking 1 y and 3 h.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 1, -s - o = -3*o - 5. Suppose -4*h - 4*f = 12, 0 = -0*h + 5*h + f + s. Suppose -2*d + 6*d - 352 = h. Does 19 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145770000 rounded to the nearest 1000000?\nAnswer: 146000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -433\/252 - 2\/63. Let m(h) = h**3 - 6*h**2 - 16*h + 3. Let t be m(8). What is the nearest to -1\/2 in y, 3\/2, t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 74 = -2*k. Let p = 2 + 0. Calculate the common denominator of k and -1 + p + 34\/10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 4 (c) -1.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 390 + -24341?\nAnswer: -23a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -166891*c**4 - 28597?\nAnswer: -667564*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 15*z - 2. Let l(x) = 15*x - 15. Let r(u) = -15*u + 19. Let v(i) = -4*l(i) - 3*r(i). Give -6*o(w) - 4*v(w).\nAnswer: -30*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/4 - 144*l**2 - 39341*l\/4 - 19383\/2.\nAnswer: -(l + 1)*(l + 78)*(l + 497)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 6 = 29. Suppose -k = 3*g + 14. Let f(z) = -z**2 - 7*z + 9. What is the units digit of f(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -4*c**3\/9 + 314*c**2\/3 - 1240*c\/3 + 9149. Factor r(d).\nAnswer: -4*(d - 155)*(d - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 6048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -7*y + 10*y - 4*y. Let p(b) = 4*b**2 - 4*b + 2. Let a(d) = -3*d**2 + 4*d - 1. Let x(n) = -3*a(n) - 2*p(n). Calculate 4*u(h) - x(h).\nAnswer: -h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 7*n**2 + 5*n - 13. Let f be w(-6). Let h be -2*(-2 - (f - -3)). Let r(s) = s**2 - 2*s - 4. List the prime factors of r(h).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 2)*0\/(-5). Suppose a = -5*n - 4*f + 37 + 13, -n - f = -10. Calculate the greatest common factor of 70 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124585394?\nAnswer: 2, 19, 937, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 0. Suppose 0 = -o*g + 8*g - 135. Let y = 1062 + -1032. Calculate the greatest common factor of g and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 76 = -68. Suppose 4*b + 48 = 4*f, -j*f + 19 = 5*b + 7. Is 2 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + 9 - (3 - 1). Is (-1544)\/(-6) - 4\/d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 176. Let p = q - -322. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + z**2. Let k(h) = -14*h**5 - 46*h**4 - 40*h**3 - 40*h**2 - 4*h. Let x(o) = -2*k(o) - 28*n(o). Factor x(g).\nAnswer: 4*g*(g + 1)**3*(7*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-2))\/t*t*t)\/t*t)**41*(t**4)**2 assuming t is positive.\nAnswer: t**172","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -100101023200322?\nAnswer: -100101023200311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -23*j**7\/210 + 59*j**3\/3 - 157*j**2\/2 + 2*j + 71. Let r(n) be the first derivative of x(n). Differentiate r(c) wrt c.\nAnswer: -92*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -664\/7 + 1607\/21. Calculate the common denominator of r and 10\/(-6)*1\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31 + 33 + 0*o**4 + o**3 - 2*o**4 + 183*o**2 + 3*o**4 + 0*o**4 - o as w*o**3 + q*o**4 + j*o + a + x*o**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.054 + 0.0540101. What is k rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) -0.3 (c) 8 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 11*l + 27. Let n be t(8). Solve n*f - s + 5 = -5, -5*f - 22 = -3*s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*x = 20*x + 258. Suppose 189 = 3*s + x. Solve s - 21 = -n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51210 is divided by 1964?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -3*c - 3*d + 27, 4*c - 3*d + 10 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**2 - 391732*m + 8226813 = 0.\nAnswer: -391753, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 643225?\nAnswer: 5, 11, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41198 or -41172?\nAnswer: -41198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 4*j - 2. Let r be w(4). Let t be (-13072)\/11704 - 4\/(-7). Sort t, r, -2\/9 in ascending order.\nAnswer: r, t, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 663 = 7*v - 2242. What are the prime factors of v?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33.8 - 4308.9689\nAnswer: -4275.1689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 22*h**3 - 4*h**2 - 2*h - 3 - 6*h**3 + 0*h - 18*h**3. What is p(-3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 10:34 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f**3 - 14*f**2 - 18*f + 3. Let c(l) = 3*l**3 - 14*l**2 - 17*l + 2. Let o(w) = 3*c(w) - 2*q(w). Let t be o(15). Solve t = 4*u - 0*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i**3 - i**2 + i + 1. Let s be c(-1). What is the second derivative of w - s*w + 5*w - w + 3*w**3 wrt w?\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31033 - -11410?\nAnswer: 42443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 41*j - 129, 99*r + 16 = 97*r + 4*j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.131790882 * 2\nAnswer: -0.263581764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/4, -3\/14, 1, 4\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a - 4. Let z be y(-3). Let m = z - 2. Suppose -4*w + 5*c + 135 = m, w = c + 3*c + 20. Calculate the greatest common factor of 16 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4 = 2. Let r(p) = -3 - 1 + h. Let w(c) = -c - 17 + 0*c + 6. Determine -11*r(t) + 2*w(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2\/3)*f)**(-12\/5)\/(f\/f**(-1\/3)*(f*f**(1\/4)\/f)\/f) assuming f is positive.\nAnswer: f**(-227\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.7 and 115.7?\nAnswer: -659.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 399*h + 48. Let l(v) = 839*v. Give n(l(y)).\nAnswer: 334761*y + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -40012 (base 5) to base 16\nAnswer: -9cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 4*s - 0*s. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 230530 (base 7) to base 3\nAnswer: 2002100121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -4, -141, 0.0132?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -990*j + 556 + 1476 = -3467 - 1431 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - a)*(-4*a**2 - 5*a**2 + 5*a**2) - 3*a**3 - 5*a**2 + 5*a**2 + (-3*a**2 - 4*a**2 + 0*a**2)*(45*a - 11 + 11).\nAnswer: -314*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4682754 + -713661\nAnswer: 3969093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 + 115285.01256\nAnswer: 115284.85256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 314, 1094, 2414, 4268, 6650?\nAnswer: 9554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 4*t**2 - 2*t + 3. Calculate x(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*c*c**(1\/2)))**37*(c**(2\/7))**(1\/5)*(c\/c**5*c\/c**6*c)\/(c**(-2\/11)\/c**(-1)) assuming c is positive.\nAnswer: c**(-20991\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -46, -97, -150, -205, -262, -321?\n\"Answer: -i**2 - 48*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1694187518 from -26290.\nAnswer: -1694213808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*u - 8 = -4*j, 5*j - 2 = 4*u. Suppose -x - 4*n = -14, 2*x - 46 = -0*x - j*n. Let t = -16 + x. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4219 = -18*a - 4309 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.10639 - -8.86761. Let y = b - 9. What is y rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 + 4*l**2 - 26*l + 20.\nAnswer: 2*(l - 2)*(l - 1)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.4 and 13383270507711.\nAnswer: 13383270507712.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 122055 and 37226775?\nAnswer: 37226775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 7*b - 11. Determine z(-4).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/1701 and 25\/126?\nAnswer: 3402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, x: 5, g: 6}. What is prob of sequence xgxg?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 25, 100, 227, 406, 637?\n\"Answer: 26*z**2 - 3*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (1 + 3 + -4 - (33 - 19)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 90 divided by -6\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*t**4 + 133776*t**3 - 279692164*t**2 + 279591840*t - 69889600.\nAnswer: -4*(t - 4180)**2*(2*t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iscsscjcusrcsc. What is prob of picking 2 c and 1 s?\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**4 + 0*p**4 + 5*p**4)*(-22 + 14 + p + 10).\nAnswer: p**5 + 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -5 (b) -29 (c) 9 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 647397.9 nanometers in meters?\nAnswer: 0.0006473979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/(-10) + 4)\/(1\/12). Factor u*a**3 + 3*a**2 - 54*a + 4*a**4 + 11 - 11 - 7*a**4.\nAnswer: -3*a*(a - 18)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-33)\/2*(-20)\/15. Does 22 divide y\/(-3)*(-1 + -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 445*p**5 + p**3 - 504*p?\nAnswer: 8900*p**3 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.344, -4, 5, -9\/10, 0, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 8521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-16*v + 4 - 4)*(2 + 2 + 2 + (4 + 0 - 6)*(0 - 3 + 4)).\nAnswer: 128*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 189, 474, 867, 1368, 1977, 2694?\nAnswer: 3519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*z - 3*z + 2*z - z as d*z + o and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 3*f - 6 = 2*a, 21 = 3*a - 4*f for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/2 - -2)\/((-2)\/4). What is the smallest value in 2, t, 2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/4*(-270)\/3. Let l = -943\/7 + a. Let 0*k + l - 2\/7*k**2 = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**2 + 2*d - d - 2 - 3*d. Let u be p(-4). Suppose 2*i + 3*r - 5*r = 24, 5*i = 2*r + u. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**9\/a*(a**(-10\/17)\/a)\/a assuming a is positive.\nAnswer: a**(92\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 120*t - 58*t + 167 - 61*t to i*t + a and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93089919 to the nearest integer?\nAnswer: 9648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbbb. Give prob of picking 3 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -114, -285, -536, -873?\nAnswer: -1302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79212266*d**2 - 15*d + 5621178.\nAnswer: -158424532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1413 and 1256.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 532 is divided by 67?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-315)\/25*(672\/(-36) + 17).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 - ((-81 - -26) + 42) - -40\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lgdlgbgiggxgdbldbg. Give prob of picking 1 b and 3 d.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4255034.\nAnswer: 2, 7, 303931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(((-1064)\/(-4))\/(-7))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0 (c) 3 (d) 1045\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*(((w*(w\/(w**(-8)\/w))\/w)\/w)\/w)\/w)\/w*w)\/w*w)**20\/(w**22\/(w\/((w*w*w**5)\/w))) assuming w is positive.\nAnswer: w**133","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-348)\/(-200) + -2)*-4. Let a = f + 1017\/200. Find the common denominator of a and 25.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 71*v + 378 - 188 - 190 in the form r*v + g and give r.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17, -28, -49, -80?\n\"Answer: -5*v**2 + 4*v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -q - 9. Which is the nearest to 2\/7? (a) q (b) -2\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3087*d**3*l**2 + 14*d**3 - 95*d**2 - 1950*d + 10421*l**2 - 1 wrt l?\nAnswer: -6174*d**3*l + 20842*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7866023 is divided by 354?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 21*q**2 - 18*q - 466. Give s(-19).\nAnswer: -846","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -479945 or -479944?\nAnswer: -479945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -259, -4, -0.4.\nAnswer: -259, -4, -0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7823063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -7. Let f be (8\/(-54))\/(84\/126). Sort f, 0.4, a in ascending order.\nAnswer: a, f, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3830885767?\nAnswer: 3830885767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - y - 86 + 7 = 0, 3*t - 88 = -5*y. Solve -3*u = -t + 6 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7597, 7564, 7511, 7438, 7345?\n\"Answer: -10*b**2 - 3*b + 7610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*j**2 - 31397*j + 1794.\nAnswer: (j - 897)*(35*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-15 - 12) + 59.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (265\/(-50) - -5)*(-12)\/(-9). Let a = 1870\/13 + -144. Let u = -0.3 + 1.3. What is the second smallest value in u, n, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -39649, -79321, -118987, -158647, -198301, -237949?\n\"Answer: 3*t**2 - 39681*t + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -101*k**2 + 8*k + 23. Let c = -9 - -1. Let o be u(c). Let w = o - 14395. Round w to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 8*x**2 + 6*x - 3. Let o be c(-7). Suppose o*v = 10 + 6. What is the remainder when (-31 + 0)\/(-5 + v) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/42)\/((-36)\/(-48)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250*u**2 - 438*u**2 - 550*u**2.\nAnswer: -738*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 215\/2 - 107. Factor 3*m**2 - 2*m - 2*m**3 + 1\/2*m**4 + v.\nAnswer: (m - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - (-4 - 1 - (-20 - -13)). Suppose 0 = -2*v - v - 6. Let z be v*(-1 - (-2)\/(-4)). Solve g + 0*i + 12 = -z*i, d*g + i - 1 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**2 + 2*y - 1 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 303937.8 rounded to the nearest 100?\nAnswer: 303900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**3 - 4*v**2 + 6*v + 7. Let w(t) = 4*t**3 + 4*t**2 - 7*t - 8. Let o(h) = 3*s(h) + 2*w(h). What is o(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 779 - 775.79. Let k = d - -88.79. Let q = -7 - -4. Which is the nearest to 2\/7? (a) q (b) k (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 418 and 10336?\nAnswer: 113696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -8, -14?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 14 + 1081. Let g = 835 - n. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5353 and 2597.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 12 = 0, 0 = -x - 2*c + 1992 + 1168. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**4 - 7023*u**3 - 35064*u**2 - 56076*u - 28032 = 0.\nAnswer: -2336, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 8*x + 3*f = -21, 0 = -2*x - 2*f - 10. Let j(r) = 6*r**3 + 3*r**2 + 3*r - 3. Let z(o) = -30*o**3 - 16*o**2 - 16*o + 16. Give x*z(n) - 16*j(n).\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -457542176*d**3 - 73869*d**2 - 279*d - 2?\nAnswer: -2745253056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (33525\/8)\/3 - 24\/(-192)?\nAnswer: 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*x + 4*p, 126*p - 119*p + 19 = 2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, -6384, 2\/7, 0.1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eoel when four letters picked without replacement from {e: 4, y: 2, o: 1, l: 1, j: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 47 - 2b485a1?\nAnswer: -2b48557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*s**2 - 32*s**2 + 79*s**2 + 4 - 1497*s - 4 in the form v*s**2 + u + g*s and give g.\nAnswer: -1497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 229474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 59593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n**5\/5 + 152*n**4\/5 + 116*n**3 - 4864*n**2\/5 - 336*n = 0. What is n?\nAnswer: -6, -1\/3, 0, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 54 - 57750?\nAnswer: -57674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7769 + 7769. Solve t = 20*p - 31 - 29 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**(-8)*y)\/y**(-7)*y**5\/(y*y**7\/y))**37 assuming y is positive.\nAnswer: y**592","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 21210 (base 4) to base 16\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (147 + 153 - 740*d**2 - 300)*(-3*d**2 + d**2 + 3*d**2) in the form v*d**3 + o*d + m*d**4 + y + r*d**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/5, -31, 0.5, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*y**4 - 8*y**4 - y**3 - 2*y - 2 + 0*y**3 + 7*y**4 in the form f*y**4 + j*y**2 + b*y**3 + o*y + l and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-26) - (-32)\/(-208). Suppose c = 3*z + z + 3200. What is z rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*l - l**2 + 211*l + 11.\nAnswer: -l**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 861.1705 millennia in decades?\nAnswer: 86117.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1456*o + 455*o - 339*o + 750*o.\nAnswer: 2322*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2987 = 324*u + 14185 for u.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -577?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1.76*0.19\nAnswer: 0.3344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**4*v + 2*d**4 + 101*d**3 + 1040*d*v - 2*v wrt d?\nAnswer: 12*d**2*v + 24*d**2 + 606*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**4 - 2*t**2 - 4*t**2 + 2*t**3 - 3*t**3 to b*t + d*t**2 + n + h*t**3 + r*t**4 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143045?\nAnswer: 5, 7, 61, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*a + 42*a = -640. Calculate the remainder when a is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2. Let o(d) = d + 1. Let s(j) = -j**2 + 7*j - 5. Let q be s(6). Let n(t) = -9*t - 6. Let g(k) = q*n(k) + 6*o(k). What is g(m(v))?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 693 or 5740?\nAnswer: 5740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**2 + 10 + 7*l - 4*l**2 + l - 13*l. Let f be y(-6). Solve 5*o - 4 = f*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express t**3 + 16*t**2 - 14*t**2 + 0*t**4 - 4 - 3*t + t**4 - 3*t**2 as w + r*t**4 + g*t**3 + q*t + z*t**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-20))\/(329\/423*9\/(-15)). Solve -l*v**2 + 69\/7*v + 72\/7 = 0 for v.\nAnswer: -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -b - 3, -b + 8*j = 6*j - 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((21\/(-70))\/((-6)\/(-5)))\/(2\/(-2))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17125606 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -10*w**2 + 18. Let p(v) = 2*v**2 - 4. Let m(b) = 2*d(b) + 9*p(b). Let i(s) = 4*s**2 - 9. Give i(m(q)).\nAnswer: 16*q**4 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*h + 27*h + 29*h + 14*h + 24*h - 124*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/8 in 7, -42, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 51*f**2 + 401*f - 231. Determine o(9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 13) in base 4?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (152\/(-16) - -8)*8\/(-3). Suppose 6*v + 20 = 2*v. Let j(x) = -x**2 - 7*x - 6. Let a be j(v). Solve r*n + 0 = -a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3. Let v(l) = -93*l + 12. Calculate 4*m(b) + v(b).\nAnswer: -93*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**3 - 4*y**2 + 2*y + 1. Let u be t(2). Let l = -5 + u. Suppose -4*q - 11 - 9 = l, 4*h - 43 = -q. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + sqrt(65)*4*5 + 3*3*sqrt(65))\/((sqrt(320) - (-3*(sqrt(320) - 1*sqrt(320)) - sqrt(320) - sqrt(320))) + 4*sqrt(320)*-2).\nAnswer: -3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 6*j - 128. Let c = -5 + 7. Calculate the remainder when j\/6 + 1\/(-3) is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 1:06 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxbxbxppbbxpbip. What is prob of picking 2 x and 1 i?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 0 - 29*x + 0*x**2 - 1\/6*x**4 + 0*x**3. Let g(j) = -2*j - 40. What is g(h(a))?\nAnswer: 4*a**2 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2153*c**2 + 58*c + 3478*c**2 + 4280*c**2 - 59*c.\nAnswer: 5605*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07 and -3822576.\nAnswer: 267580.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-53)\/((-4346)\/861))\/(-3)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2. Let d(b) = 64*b. Let s be (-8)\/(-20) + (-46)\/(-10). Let o be (45 + s)*2\/5. Let k(v) = -9*v. Let r(h) = o*k(h) + 3*d(h). Determine r(x(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 y when three letters picked without replacement from {w: 2, v: 1, n: 4, y: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, 0.1, -37, -0.06, -1\/6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -83.927 + 84. Round j to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15455\/9 - -1719. Which is the smallest value? (a) 2 (b) -4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*h + 0*h**2 + 262*h + 0*h**2 + 82*h**3 - 41*h**3 - 126*h.\nAnswer: 41*h**3 + 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40031 (base 9) to base 12.\nAnswer: 13254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-10))\/((-23)\/(-345)). Suppose -v - 2 = -z. Suppose -2*j = z - 44. Are j and 13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -5*v**2 - 5040*v - 49900 = 0.\nAnswer: -998, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49674 is divided by 2091?\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 1. Let y(u) = 2*u**3 - 5*u**2 - u + 5. Let h be (20\/(-30))\/((-4)\/(-6)). Calculate h*y(k) + 5*c(k).\nAnswer: -2*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 12106\/11 and 1102 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 8*c + 21. Let q be k(6). What is the first derivative of -y**3 - 16 + q - 2*y**3 wrt y?\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 16*t + 0 - 1\/42*t**4 + 3*t**2 + 0*t**3 + 11\/42*t**5. Solve m(q) = 0 for q.\nAnswer: 0, 2\/55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 238194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 766973373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.048775 + -7.\nAnswer: -6.951225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -31260, -57660, -84060, -110460?\n\"Answer: -26400*v - 4860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17222.7909 rounded to the nearest ten?\nAnswer: -17220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0478618936 rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 93318462 and 3933?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1560 divided by -5\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -17 - 2747*t**2 + 2746*t**2 + 10*t + 3*t. Calculate f(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) + -3 + -3)**2 - -2*1*sqrt(720))*5.\nAnswer: -600*sqrt(5) + 3780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38\/5 + -68\/9. Let y = q + -4\/15. What is the fourth smallest value in -1\/4, 0.2, 2, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-357)\/(-60) - (-8 + 1).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 6. Let p = 233 - 133. Suppose -2*h + c = -c - 170, -4*c = -h + p. Calculate the highest common divisor of y and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from {n: 2, h: 16}.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 27*a**2 + 9*a - 33. Let g be i(-25). Let p = -64 + g. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -51*(4\/2 + -1). Let y be (-4)\/((-126)\/49 + 4)*(63 + -43). Which is smaller: y or n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5918.80955 + -5919. Let z = s + 0.19. Round z to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44123007.\nAnswer: 3, 17, 29, 29833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4151 or -4153?\nAnswer: -4153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 141213466.\nAnswer: 423640398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 165, -69774\/11, 3?\nAnswer: -69774\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**2 + 1. Let n(m) = 7*m**2 - 35*m - 36. Let i(q) = -n(q) - 6*r(q). Factor i(x).\nAnswer: 5*(x + 1)*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 415 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 1811551923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -320627 at least as big as -320192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 6:38 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 25*r + 30*r + 2 - 84*r + 31*r. Let h(k) = 9*k + 6. Let j(d) = -4*c(d) + h(d). Give j(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k**3 - 6*k**2 - 7*k - 6. Let z(f) = f**3 + 3*f**2 + 3*f + 3. Let p(t) = 2*w(t) + 5*z(t). Determine p(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.1, -1.3, 27, 1.5?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 396, 220, 44, -132, -308, -484?\n\"Answer: -176*q + 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -1515, 2\/9, -5, -0.141 in descending order.\nAnswer: 2\/9, 1\/7, -0.141, -5, -1515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6754323 and 376?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -8*p - 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 280*h - 2000. Determine d(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 362528.2 grams in milligrams?\nAnswer: 362528200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10914 + -2660. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 y when four letters picked without replacement from {o: 2, l: 2, p: 4, y: 4, b: 5}?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 take away -413808894467?\nAnswer: 413808894466.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**3 + 20*c**3 - 5*c**3)*(-4*c + 0*c + 2*c + (-4 + 2 + 0)*(4*c + 0*c - 2*c)).\nAnswer: -108*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**2 - x + 8*x**2 - 8*x + x**2 in the form n*x + z*x**2 + i and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/5 - 3*k\/5 - 6\/5.\nAnswer: 3*(k - 2)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 20 = 5. Let p(x) = x**3 - 5*x**2 + x + 6. What is the remainder when ((-15)\/(-20))\/(1\/(-4)) - -22 is divided by p(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 491851*g**3*s**3 + 7*g**3*s + 5*g**3 + 3*g**2*s**5 + g**2*s + 3494*g*s + 1 wrt s?\nAnswer: 2951106*g**3*s + 60*g**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137439*-3.\nAnswer: -412317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3\/7)*q)\/q)**34*((((q\/q**(-3\/14))\/q)\/q)\/q)\/(q*q**(4\/11)\/q) assuming q is positive.\nAnswer: q**(-2575\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -37\/758836 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2743*a**3*m**2 + 76*a**3*n**3 - 5*a**3*n + a**2*m**2*n**3 - a**2*n wrt m.\nAnswer: -5486*a**3*m + 2*a**2*m*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 202 (base 3) to base 14\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 397*p + 204*p + 201*p.\nAnswer: 8*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, -475874, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vfuugfpffgvu. Give prob of picking 1 v and 2 f.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 90 + -43. Let v = i - 33. Is v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a tonne in kilograms?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (359 - 1452*x - 174 - 185 + 9173*x)*(2 - 5 + 1).\nAnswer: -15442*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 - 16*o - 14. Let q be n(-13). Let i = q + -371. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7921*z**3\/7 - 13528*z**2\/7 + 5776*z\/7.\nAnswer: z*(89*z - 76)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 10*z**2 - 13*z - 38. Suppose 109 = 9*k + 226. Is o(k) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80762 and 374?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 + 755*y**2.\nAnswer: 5*y**2*(y + 151)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 7:19 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14901917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/6 + (-4)\/(-6) - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2526674678 to the nearest integer?\nAnswer: 1362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 277780494 and 309?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -274 or -3590889?\nAnswer: -274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -4*c + 2864 + 606, 4*c + 670 = j. Suppose -4*l - 4*o = -6*l + j, -5*l + 1755 = -4*o. List the prime factors of l.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 447466.5 litres in millilitres?\nAnswer: 447466500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*t - 4199 = 251*t + 13912 - 3361 for t.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/7))**(2\/101)*j**4*j**5)\/(((j**(-2)\/j)\/(j\/(j*j\/j**3)))\/(j\/(j\/j**(-5))*j*j**(2\/7))) assuming j is positive.\nAnswer: j**(7268\/707)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 8:02 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/2)\/((-5)\/(-1560)). Suppose 4*a + 4*v = 384, -5*a + v + x = -0*v. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 930 + 920 + 11*m - 1850.\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 485, 484, 483, 482, 481?\n\"Answer: -g + 486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4422 and 96949?\nAnswer: 6398634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**3 + 3*r + 1. Determine i(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2618 + 2050 + 1218 = -327*a for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y**3 + 9*y**2 - 411*y - 2051. Determine v(-5).\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*s - 7*s**2 + 197*s**3 - 8*s**2 - 6*s**2 + 21*s**2 to l*s**2 + i*s + c*s**3 + n and give c.\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139, -308, -1511, -3848, -7697, -13436?\nAnswer: -21443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-60 + 5*m**2 + 60)*(1163*m - 2714*m + 1276*m) in the form c*m**3 + d*m**2 + f + h*m and give c.\nAnswer: -1375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o**6 + 56599*o**4 + 214999*o**2 wrt o?\nAnswer: 120*o**3 + 1358376*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**2 - 177*g + 177. Let s be d(58). Put 4, 0, -3, 1, s in increasing order.\nAnswer: -3, 0, 1, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 63 + 92 = 0. Suppose q - 11 = 5*d. Suppose d*g - 45 = 11. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25\/6 - -187\/42. Find y, given that -n*y**4 - 2\/7*y**5 - 2\/7 - 2\/7*y + 4\/7*y**2 + 4\/7*y**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 19*l**3 + 21*l**3 - 29*l**3.\nAnswer: 11*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -2464*a**5\/5 - 3*a**4\/4 - a**3\/3 - 17*a**2 - 10*a - 4772. What is the third derivative of g(o) wrt o?\nAnswer: -59136*o - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3342580 or 3342584?\nAnswer: 3342584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3 - 6. Let j = 19 + -24. Let k(s) = 4 + 21 - 32 - 3*s**2 + 3*s + 5*s**2. Let v(d) = 3*d**2 + 5*d - 13. Give i*v(o) + j*k(o).\nAnswer: -o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 3:59 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7284?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 41*v - 119. Let u be r(-38). Sort 1\/4, 3, u in descending order.\nAnswer: 3, 1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x - 39*x - 47*x = 994 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 8*h**2 + 8*h - 7. Let x be z(-9). What is the second derivative of -y**5 - y - 2 + x wrt y?\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((480\/90)\/8)\/((-2)\/72).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42550 is divided by 21275?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -396\/4285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*o = -11, -2 = 4*j + 3*o - 1. Suppose 0 = -3*y - 6, j*x + 2*y - 5 = -x. Is (-6)\/(-4)*(23 - x) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d + 82*d + 22*d + 40*d.\nAnswer: 150*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -86, -165, -298, -485?\n\"Answer: -27*l**2 + 2*l - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4267?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/((-165)\/50))\/(4\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 27*p**2 - 26*p - 59. Let b = -4666 - -4694. What is v(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 + -25. Let b = m - 10. What is the third smallest value in -0.4, -4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**6\/12 - t**4\/3 - 13*t**2\/2 + 2*t. Let v(i) be the first derivative of c(i). Find the second derivative of v(x) wrt x.\nAnswer: 60*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**6\/40 + 41*o**5\/20 - 399*o**4\/8 - 441*o**3\/2 + 190*o**2 + 18. Factor f(s).\nAnswer: -3*(s - 21)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 13 - 2604*n - 2600*n + 458*n**2 + 5162*n to b*n**2 + f + y*n and give b.\nAnswer: 458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 20 = 26. Let i(r) be the third derivative of 0*r**3 - 1\/140*r**7 + 0 - 3*r**2 - 1\/40*r**5 + 0*r**4 - 1\/40*r**y + 0*r. Factor i(u).\nAnswer: -3*u**2*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18140\/(-16) - (-8)\/(-32). Is (0 - u)*60\/90 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20275 - -446159\/22. What is the common denominator of g and 41\/38?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4 + -4*(3 + sqrt(5)*1) + -2 + sqrt(40)\/sqrt(8) + -2)**2.\nAnswer: 120*sqrt(5) + 449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42*o**3*z**2 + 9909*o*z + 2*o - 6*z**2 - 439511 wrt o.\nAnswer: -126*o**2*z**2 + 9909*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 920\/440 - (-60)\/(-55). Let i = 0.3 + 0.2. What is the second biggest value in n, i, -1, -0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 5*z**2 + 5*z + 6. Suppose -2*q - 23 = 3*g - 3, 0 = -2*q - 4*g - 24. Let s be d(q). Calculate the greatest common factor of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-418 + 165 + 71 + 80 - 152*f**2 + 66)*(5*f**2 - 5*f**2 - f**3).\nAnswer: 152*f**5 + 36*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 - j**3 + j + 5*j**2 + 4*j + 3. What is the units digit of w(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) - sqrt(1440)*3 - sqrt(10))\/(-3*sqrt(98)))**2.\nAnswer: 720\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - x + 403 = 2*x, -3*f + 5*x + 269 = 0. Suppose -133 = -2*o + f. Is 30 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 - 1)*(-79*n - 208*n - 143*n + (-3*n - 2*n + 3*n)*(-4 + 0 + 2)) to l + y*n and give y.\nAnswer: 852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 608 and 93784.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 6*r + 31. Let g be f(-3). Suppose -56 + 1400 = g*t. Does 21 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.29 (b) -1\/4 (c) -8\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -31. Let s(j) = 5 - j**2 - 7 + 0 - f - 7*j. What is s(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 4*f**2 + 7*f - 7. Let n be o(4). Let l = -15 + n. Suppose -4*s + l*s - 50 = 0. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4778 = -47*h - 4637 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tkte when four letters picked without replacement from {k: 1, l: 1, x: 1, e: 1, t: 8}?\nAnswer: 7\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 16*q + 2200. Suppose 0 = -4*m + 244 - q. Let v(a) = 55*a + 16. Let u(p) = 11*p + 3. Give m*u(k) - 2*v(k).\nAnswer: 11*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 36450.93?\nAnswer: 10935.279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 368223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 4*b + 4. Let w be l(-4). Suppose 0 = -4*o, -4*g - w*o = -5*g + 5. Is 4 a factor of (3\/2)\/(g\/40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 4*m**2 - 2*m + 2. Let w be u(4). Let c = w - -6. Let p(q) = -q**2 - q + 83. Is p(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hk when two letters picked without replacement from {x: 1, t: 1, f: 1, k: 2, b: 1, h: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -123?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*g - 135 = -487 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*y + 35 = 0, 39*d + y = 36*d + 7. Find the second derivative of d*b - 3*b**4 - 1012*b**2 + 1011*b**2 + b wrt b.\nAnswer: -36*b**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7797*x**2 + 15592*x**2 - 7792*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2293168627.\nAnswer: 2293168627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/2*(-6)\/(-9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 18*a - 9*a - 10*a. Let o(q) = -23*q + 13. Let g(z) = o(z) + 3*u(z). Differentiate g(h) wrt h.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (621\/(-414))\/((-1)\/6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 8*p**2 - 2*p + 6. Give f(-7).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (1 + (-4 - 3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + (-10)\/(-6))*(-75)\/(-200)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2406, -2604, -2802, -3000, -3198, -3396?\n\"Answer: -198*u - 2208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1735587 and 243.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.87467 * -0.732.\nAnswer: 2.10425844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 - 0.3. Let u = -0.8 - -0.9. Let i be (-2)\/(-12) - (2\/1)\/4. What is the smallest value in u, l, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v + 1888\/11 - 2\/11*v**2 = 0 for v.\nAnswer: -118, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(275))**2 + sqrt(275) + 2 + -4 - (-4 + sqrt(275) + 0 - (-4 + sqrt(275)*1 - sqrt(275) - sqrt(275))**2).\nAnswer: 50*sqrt(11) + 569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - p - 25 = 0, -2*d + 4*p = -10 - 6. Which is the biggest value? (a) 2\/15 (b) 3\/2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-10)*1\/3\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20727048 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 13 = 59. Let p = v - 10. Let w = 131 + -105. Calculate the remainder when w is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 5*p**2 - 5*p - 3. Suppose -2*s + 9*c - 4*c + 3 = 0, 4*s + c - 17 = 0. What is y(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1249?\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3710982031.\nAnswer: 61, 60835771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 divided by 163669?\nAnswer: 94\/163669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - w + 0*w)*(2*w**3 + w**3 - 2*w**3)*(77 + 9 + 158) + (3*w + 3*w - 5*w)*(2*w**3 - w + w) + 2*w**4 + 2*w - 2*w + w**2 - w**2 + 2*w**4.\nAnswer: -482*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 17*a + 12*a - 959 = 0, 0 = 3*o - 3*a - 717. What is the lowest common multiple of 118 and o?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.4 + 4.1. Let g = -0.1 - 0. Let j = 0.1 - g. Sort 5, j, t in descending order.\nAnswer: 5, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ztnzzazznaaynz. Give prob of picking 1 y, 1 n, 1 t, and 1 a.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -595 + 417. Let m = 170 + n. What is the third biggest value in -5, m, -4\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 3.0304?\nAnswer: -3.4304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(70) - sqrt(70))*-1 + sqrt(70))\/(sqrt(50)\/(-2*sqrt(5))).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 27. Suppose q + t = 35. Let z = 25 - q. Solve 0 = 3*n - z*n - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000134823161 to seven dps.\nAnswer: 0.0001348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5710739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 times 272578?\nAnswer: -43612.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 + 5*f**3 - 3*f**3)*(3 - 3 + f) - 3*f**4 + 0*f**4 + 2*f**4 + 5*f**4 - f**4 - 5*f**4 + (-5*f**2 + 6*f**2 + 8*f**2)*(-f**2 - 72*f**2 - 76*f**2).\nAnswer: -1344*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (21 + (-26 - 10)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-59)\/177)\/(1\/(-81))*1.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -32534593 divided by 11?\nAnswer: -32534593\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4416 and 184092.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11704474*t - 12226074 with respect to t.\nAnswer: 11704474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -44*j + 83*j. Let k = -2\/39 + -113\/78. Which is smaller: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -64, -65, -66, -67, -68?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {c: 1, t: 2, g: 3, b: 11, s: 1}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/1498526183 + 183684843942913\/6984630538963. Let g = z - 1518\/59. Let f = 7099\/158 + g. Find the common denominator of f and 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -0*u. Suppose -3*h - 15 = 0, u*h - 3*h = -y + 21. Calculate the remainder when y is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*g**2*j**3 + 5*g*r**3 + 10*j**3*r**2 - 8*j**3*r + j*r**3 wrt g.\nAnswer: -54*g*j**3 + 5*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66 + -70. Let a = k - -3.6. What is the fourth biggest value in 4, a, 1\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 3*k = 5, p + 4*k = -3*p + 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 - 4*l**2 + 4*l**2)*(2*l**2 + 2*l**2 - 2*l**2)*(-4 - l + 0*l + 0).\nAnswer: 8*l**5 + 32*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3652096098 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 338 - -2?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000079783 to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-28035)\/(-189) - (-1)\/((-6)\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 272208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 213240233 - 12?\nAnswer: 213240221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10996, 21112, 31234, 41362?\nAnswer: 51496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -40*y**2 - 5*y - 6. Let l(u) = -43*u**2 - 5*u - 9. Calculate -2*l(a) + 3*p(a).\nAnswer: -34*a**2 - 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 - 10*5\/10. Let k(z) be the third derivative of -1\/105*z**7 - 6*z**2 + 0 + 0*z - 1\/20*z**6 + 0*z**b - 1\/12*z**4 - 1\/10*z**5. Solve k(u) = 0 for u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -144883*x**5 - 148607*x**2 wrt x?\nAnswer: -8692980*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9592352 and 96866?\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**5 + 22*v**4 - 536*v**3 - 1144*v**2 = 0.\nAnswer: -22, -2, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by -25.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 975901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 15, 199 in ascending order.\nAnswer: -3, 15, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -35*126\/(-20580)*70\/120?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 34*b + 61. Let d(p) = -3*p**2 + 65*p - 123. Let q(h) = -6*d(h) - 11*x(h). Is q(9) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9660520 is divided by 1932094.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -459646409 + -0.5\nAnswer: -459646409.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1300) + -5))**2 + (sqrt(143) + sqrt(143) + (sqrt(143) + sqrt(143)*-1 - sqrt(143))*-1)\/sqrt(11).\nAnswer: -3597*sqrt(13) + 47700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1433\/8 - 179. Which is the closest to 17? (a) q (b) 3 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*z**3 + 4614*z**2 - 4204*z**2 + 5*z**3 - 40*z**4 - 3*z**3 wrt z.\nAnswer: -960*z + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -2*t**3\/3 + 520*t**2\/3 + 232*t + 1521. Factor u(r).\nAnswer: -2*(r - 174)*(3*r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of h**3 + 9*h**2\/2 - 6*h + 2. Let f(v) = 2*v**2 + 9*v - 7. Let n(w) = -4*f(w) + 3*x(w). What is the units digit of n(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 2740, -34 in descending order.\nAnswer: 2740, -33, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101011011110 - -1?\nAnswer: 1101011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 343769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2615522133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -8*o + 10*o. Suppose 20*g - 314 - 966 = 0. What is the least common multiple of g and o?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 7*h + 15. Let j be q(3). Is 24 a factor of (-50)\/j*-74 + 80\/360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 4*z**2 + z + 5. Let v be n(-4). Let s be (91\/21)\/(v\/6). Let p = 53 - s. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*s - 131 + 89. Solve 2*l + s*o - 4 = 0, 29 = 5*l - 2*o - 0*o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-771)\/(-195) - (-3)\/15) + -4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1158, 1162, 1176, 1206, 1258, 1338?\nAnswer: 1452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45607 is divided by 157.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + 14\/(-10) + -1. Let k be ((-111)\/15 + (-154)\/(-22))\/(9\/5). Which is the second biggest value? (a) p (b) 4\/3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 4:04 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4*(-5*sqrt(136)*-2 - sqrt(136)))\/((3*sqrt(64)*1 - sqrt(64))\/sqrt(8)).\nAnswer: -108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 117395 - 81168. List the prime factors of y.\nAnswer: 17, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36668, 72784, 108948, 145184, 181516, 217968?\nAnswer: 254564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-19)\/k)\/(k*k\/((k**12\/k)\/k*k)) assuming k is positive.\nAnswer: k**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, j: 1, g: 2, r: 4}. Give prob of sequence grjn.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u - 210 = 23 + 313. Solve 29*p - u*p = 3*l, -3*l = 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**4\/3 + 28*v**3\/3 + 128*v**2\/3 + 76*v + 42 = 0.\nAnswer: -7, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2205 divided by -7\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -20.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*m + 9 = 0, 8*i = 2*i - 4*m + 26. Solve -2*r + 2*v + 18 = 0, 25*r = 21*r - i*v - 9 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 153*n - 8. Let j be g(1). Let c = j - 120. Let u = -9 + 16. What is the remainder when c is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 253\/3, -0.2, 336, -0.3, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of ((-15)\/((-315)\/112))\/(1\/9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -43*o - 33. Let p be v(-1). Let g = 6.2 + -6. What is the nearest to 1 in g, p, -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 18785906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -10*v**2 - 102*v\/5 - 4\/5 = 0.\nAnswer: -2, -1\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -0*x - 3*x + 15, 0 = 3*x - 2*u - 10. Let h = -1 + x. Let k(q) = -q**3 + 2*q**2 + 3*q - 2. Calculate k(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**5\/13 + 180*l**4\/13 + 1616*l**3\/13 + 1260*l**2\/13 - 1618*l\/13 - 1440\/13 = 0.\nAnswer: -80, -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 16 = 5*a, -3*d + a - 9 = 3*a. Let q = d - 1. Let l be 2\/5*(q - -4). Sort l, 1, -2\/19 in ascending order.\nAnswer: -2\/19, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -19\/5, -1, -22, 157, 0.1 in increasing order.\nAnswer: -22, -19\/5, -1, -1\/7, 0.1, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 9:11 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4 + 10*n**2 + 13 - 4 - 5. Let s(i) = -59*i**2. What is t(s(z))?\nAnswer: 34810*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, q: 8, b: 4}. Give prob of picking 1 b and 2 u.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a millimeter in micrometers?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 + 3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-63) + (10 - (-3495)\/315). Let p(f) be the first derivative of 1\/22*f**2 - 1\/66*f**6 - 2\/33*f**3 + c + 0*f**4 + 0*f + 2\/55*f**5. Factor p(r).\nAnswer: -r*(r - 1)**3*(r + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/457 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.48 + -117894969.\nAnswer: -117894975.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 8*y - 490. What is the least common multiple of 80 and y?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*v + v - 44 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, c: 2, l: 1, o: 7, j: 4}. What is prob of sequence jjll?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 9. Factor 2*m**4 - 7*m**4 + 2*m**x + 11*m**4.\nAnswer: 2*m**4*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21*-1*7*(-2)\/14\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 242095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2509439371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 4*z - 24, 5*z - 3 = 4*z. Let g(y) = 3*y - 1. Determine g(u).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*s = -212*s - 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 14*t**3 - 58. Let j(l) = -5*l**2. What is j(d(k))?\nAnswer: -8820*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3 - 19)*(402\/(-4) + 2).\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 384 - 256. Is 10 a factor of (p\/12)\/(2\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 1\/3, 0.3, -1\/2, 0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/15, -1\/2, 6?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 1. Let y(k) = k - 4. Let w be y(-2). Let j(o) = -o + 5. Determine w*a(i) + j(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -23954, -24182, -24412, -24644, -24878, -25114, -25352?\n\"Answer: -v**2 - 225*v - 23728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 125*o**5 + 2*o**3 + o**2 + o + 4?\nAnswer: 7500*o**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/42 - ((-30)\/165 + 30147\/462))\/1.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3931*q - 1276*q = -3264*q + 704*q - 787465 for q.\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 8:45 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 2:28 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-13)*1)\/((-17660)\/(-1492270))*-1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22191*j - 2538 = -22280*j - 8412 for j.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12864 + -13512. Which is greater: -646 or k?\nAnswer: -646","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7106, -57337, -194042, -460571, -900274, -1556501, -2472602?\nAnswer: -3691927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t. Let h(k) = 13*k + 154. Give h(m) + 4*n(m).\nAnswer: -3*m + 154","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -52*g - 33*g + 491810. List the prime factors of g.\nAnswer: 2, 11, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*r - 476 = 5185, 5*s + 2*r = 9451. List the prime factors of s.\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -611 >= -610?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 9*a**2 + 8*a + 12. Let v be w(-8). Let i = 21 - v. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/((-18)\/21) - 2. What is the nearest to -2\/3 in r, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -539\/13 >= -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b. Let j(r) = -5*r. Let p(m) = 4*j(m) + 25*l(m). Let u(i) = 2*i. What is u(p(d))?\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -8196\nAnswer: 8188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.528 and -0.4.\nAnswer: 0.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3765.925 rounded to the nearest one hundred?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*q = 76*q - 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 h, and 1 g when four letters picked without replacement from {y: 1, h: 2, g: 1, c: 7, l: 8}.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 40*v + 1369. Let u(n) = n**2 + 5*n - 8. Let g = 8 - 16. What is the remainder when u(g) is divided by z(-34)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -11*m - 3. Let a(w) = 41*w + 45. Let u(l) = 21*l + 25. Let x(y) = -4*a(y) + 7*u(y). Determine -8*g(f) + 5*x(f).\nAnswer: 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -47, 25\/13?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2 (b) 3 (c) 0.4 (d) 1.5 (e) -5 (f) -21\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + -1)*2)**2 - (sqrt(17) - (sqrt(17) - (sqrt(17) + 1))*-3 - (sqrt(68)*-2)**2).\nAnswer: -17*sqrt(17) + 551","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 13*h - 9*h - 165 = 0. Let b(w) be the first derivative of w**3\/3 - 6*w**2 - 33*w + 1. Let a be b(h). Solve 0 = 4*g - 0*g + a for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2250.324*-2.4\nAnswer: 5400.7776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 4\/7, -0.03, -1\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 8, z: 5}. Give prob of sequence zii.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3202*2 - 4*48\/(-64)?\nAnswer: 43, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 - 1\/(4\/12). Let b(u) = -u**3 + 6*u**2 - 13*u + 2. Let s(v) = -v**3 + 6*v**2 - 12*v + 2. Let j(w) = 5*b(w) - 6*s(w). Is j(m) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -31292, -31410, -31532, -31658?\n\"Answer: -2*v**2 - 112*v - 31178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 + -4 + (0 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 127 (base 8) to base 16.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(20\/(-24)) + -3. Suppose 5*w - 2*s - 84 = 0, 5*w - n*w = -4*s + 48. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = 3*l - 15. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 9) to base 14.\nAnswer: -5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 + 97?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lld when three letters picked without replacement from ldoollloooldl?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1721 - -6517741?\nAnswer: 6516020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*w = -70935, -57115 = -2*a - 2*w - 9819. List the prime factors of a.\nAnswer: 7, 11, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217992478?\nAnswer: 2, 11, 29, 341681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11213112 (base 4) in base 14?\nAnswer: -854a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.9007122 centimeters?\nAnswer: 9.007122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3691.26376 + -4\nAnswer: 3687.26376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010152088 to 7 dps.\nAnswer: 0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) -2\/7 (b) -0.1 (c) -3\/14 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/20 - 2)\/(21\/(-28))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 49159 and 1.3.\nAnswer: 49160.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174461230*o**2 + 76*o + o**3 - 174461230*o**2.\nAnswer: o**3 + 76*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/108)\/((-895)\/(-358))\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -0*i - i - 4, 9 = 5*g - 2*i. Suppose -42*k - 1052 = -1220. Solve -q - v - g = -2*v, -v = -k*q + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4 - 124*b**3 - 3843*b**2 + 124*b + 3844.\nAnswer: -(b - 1)*(b + 1)*(b + 62)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (788 - 788 + 624*m**2 + (-7 + 2 + 3)*(3*m**2 - 2*m**2 - 2*m**2))*(0*m**2 + m**2 + m**2).\nAnswer: 1252*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 7 + 4. Solve -h + k = t, -4*h + 5*t + 2 = -2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3391*q - 2*m + 2 = 3394*q, 0 = -3*q + 3*m + 27 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 25.86 times -0.1\nAnswer: -2.586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 846208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - s + 3. Let v(y) = y**2 + y. Let f be v(-1). Let m be t(f). Suppose -5*i + m*c = -99, -4 = i - 4*c - 17. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 50.83921 decades?\nAnswer: 0.5083921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 4. Suppose 2*s = 5*t - 21, 3*t + t - 24 = k*s. Suppose -2*u + 7*u - t*q - 808 = 0, 5*q + 166 = u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1, -1\/4, 4\/3, -0.08?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-140)\/(-840))\/(6\/88).\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 4*c**2 + 2*c - 6. Give i(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39810\/1327)\/((-28)\/(-2)*-1)?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/15 + (-4)\/(-14). Let m = 403 + -28211\/70. Let h = m - a. Is 0 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-5)*1 - 1. Let i be ((-4)\/3)\/(-7 - g). Factor 0*u**3 + 0 + 4\/9*u**2 + i*u - 2\/9*u**5 - 4\/9*u**4.\nAnswer: -2*u*(u - 1)*(u + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c + 27. Let i be d(11). Let v = 52 - i. Let 1\/2*g**2 + 0 + 0*g + 1\/2*g**v = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123580*g + 123584*g - 617920*g + 123591*g + 123580*g + 123586*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1585056 by 3476.\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 1\/26 (c) 7\/3 (d) 49\/13 (e) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27.2 + -1.2. Let v = 2060 - 2033.29. Let d = v - w. Round d to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.1 + -7. Let l = 80 + -157\/2. Which is the closest to f? (a) l (b) -1\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 15*h**2 + h. Give a(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -402*s**2 + s**3 - 8245 - 8239 - 292*s**2 + 16484 to i*s**3 + p*s + w*s**2 + n and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 7*w - 2 + 4 - 2. Let g(b) = 6*b**2. What is g(j(d))?\nAnswer: 294*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-7 - -5) - 12 - 1. Let a = 11 - 19. Let y = a - c. Solve 3 - y = i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -35, -60, -95, -140?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-9)*5*(-20)\/(-250)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/((2\/5)\/1). Let g = -8 + s. Let c(q) = 0*q**2 + 2 - q - q - q**2. Let j(l) = -l**2 - 2*l + 2. Give g*c(b) + 4*j(b).\nAnswer: -b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 - ((3 - 1) + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6468762 is divided by 259.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -615.\nAnswer: -614.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 13*c**2 - 13*c - 9. Let k = -1902 - -1914. Determine f(k).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1192 + 1460. What is the remainder when h is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1693 is divided by 335.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -976, -924, -822, -658, -420?\n\"Answer: 2*p**3 + 13*p**2 - p - 990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 542 a factor of 13814850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.42, -127, -1\/8, 2\/3 in descending order.\nAnswer: 4, 2\/3, -1\/8, -0.42, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -11*b - 77. Is -7 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93403217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*t*u*v**2 - 6*t*v + 2*u*v**3 - 2*u*v**2 - u*v + u + 5*v wrt v.\nAnswer: -10*t*u + 12*u*v - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**3\/3 + x**2 + 13*x. Suppose -4*p - 18 - 18 = 0. Let k = -14 - p. What is v(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v**3 - 3*v**2 + v - 2. Let p be m(-3). Let w = p - 49. What is the remainder when w is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p - 3*p + 7*p.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) -79 (c) -0.5 (d) 8 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61460591359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = -64 + 134. Let f(z) = z**2 - 9*z + 1. Calculate f(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2402289489.\nAnswer: 3, 59, 67, 167, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4909 - 2485. Calculate the greatest common factor of c and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -276, -290, -330, -408, -536?\n\"Answer: -2*c**3 - c**2 + 3*c - 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 49 - 194 = 0. What is the remainder when p is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*b - 75*b + 1176 = -33*b. Calculate the greatest common divisor of 216 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 429\/44 + -15 - -5.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2, 38580, 1\/7, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - x + 11, -7*x - 8 = -s - 2*x. Suppose 5*a = s*a + 38. Let d = a + -13. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k = -3*u - 16*k - 21, 0 = -3*u - 5*k + 39. Suppose -3*q + 0*q = -9. Solve 3*f + q = -5*z, 6*f - 3 = -u*z + 3*f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88\/14 + (-17 - -11).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.045814 and -0.3.\nAnswer: 0.0137442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-6)\/1*15\/(-60)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 13*r. Let m be w(0). Solve -9 = -5*x - 4*k, 3*x + m*k - 27 = 3*k for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n**(2\/5)*n)\/n*n)*n)\/(n*n*n*n**(-5\/4)))\/(n**(2\/7)\/n**(-1\/5))*((n*n**(2\/21))\/n**(1\/10))**(-2\/7) assuming n is positive.\nAnswer: n**(-1717\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 32583\nAnswer: -13033.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/3 - 4846*w**2\/3 - 1920955*w + 87677700.\nAnswer: -(w - 44)*(w + 2445)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -g**3\/6 - g**2 + 6*g + 749. Suppose 0 = -4*w - 19 - 1. Give u(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(833))*3)**2.\nAnswer: -378*sqrt(17) + 7578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1610\/(-210)*(-3)\/(-5) + 3\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15856 + 15847 - 31703 - 10084*j.\nAnswer: -10084*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/7686 and -37\/1348466?\nAnswer: 12136194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/3)\/(7\/147). Let u = -11 - a. Let q = u - -20. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 + -13 + (-656)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15243468 - 15239387 - h**4 + 37*h**3 - 3*h**4 wrt h.\nAnswer: -16*h**3 + 111*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -5*t**4\/6 + 33*t. Let l(u) = 12*u**2. Determine r(l(i)).\nAnswer: -1440*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 41383451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**4\/(j\/(j\/(j\/(j**(1\/6)*j)))))\/((j*j*((j**(3\/7)*j*j)\/j)\/j*j)\/(j\/(j**15*j)*j)) assuming j is positive.\nAnswer: j**(-557\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -9 - 5*q**2 + 6*q + 8 - 4*q. Let h be t(1). Let i(k) = k**3 + 3*k**2 - 4*k + 3. Calculate i(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*m**3 + 18*m**3 - 80 - 12 + 27.\nAnswer: -3*m**3 - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1039686 rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.092 times -1.142?\nAnswer: 3.531064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three eighths of a day?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 30*d + 65 = 0, 3*x + 116 = 3*d - 68 + 124 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -334 + 334. Let h(d) be the first derivative of 0*d**2 + 0*d**4 + 1\/3*d**3 + t*d + 2 + 1\/5*d**5. Find the third derivative of h(j) wrt j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 376630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2584 by -4.\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/20 and (2 - 11)\/((-3840)\/45 + -3).\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -132811\/988 - -1760\/13. Let i = 2\/22263 + -2649457\/1781040. What is the common denominator of i and y?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443359991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 160*d**2 + 2080*d - 739. Differentiate z(n) wrt n.\nAnswer: 320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.8605 litres in millilitres?\nAnswer: 65860.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 16. Suppose -5*m - 2*a + 5*a + 29 = 0, 4*a - 36 = -4*m. Let s be 1*(-3 + m + 1). Solve -z + 3*t + 15 = -s*z, -i*z - 13 = -2*t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.100618 to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/6)\/2*-15. Let l(x) = -x**3 + 6*x**2 - 5*x. Let h be l(y). Suppose h*u = 5*u. Which is the nearest to -1\/4? (a) 0.1 (b) u (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-4)\/8)\/((-2)\/(-4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 70246 to the power of 1\/2, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -10.99968. Round d to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z\/(z**(-2\/5)\/z)*z)*z)**(-1\/7)\/(((z\/(z\/z**6))\/z)\/z*z)**(5\/14) assuming z is positive.\nAnswer: z**(-101\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -41. Let u = 38 + l. Let k = -11 + u. Solve -k*y = -9*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-5*(sqrt(300) + (sqrt(300) + 0)**2 + 4 - sqrt(300))*6.\nAnswer: -9120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -373 - 37. Let p = h - -417. What is the third biggest value in 4, p, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 675 and 6782625.\nAnswer: 20347875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1061250 is divided by 151596.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/114*-18 + ((-2916)\/104)\/(-9)?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 - 8*b**2 - 20*b + 20*b + 12.\nAnswer: -6*b**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -38378+17700489990\nAnswer: 17700451612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/102499 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 - 145 + 44 = -5*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 36. Let c = 1.047 + 51.653. Let p = c + -52.2. What is the third smallest value in y, p, -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l**2. Let w(q) = -13*q**2. Let o = 32 - 50. What is o*v(h) + 4*w(h)?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -371, -367, -361, -353, -343, -331?\n\"Answer: a**2 + a - 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 0 + 0)*(4*u + 16*u - 7*u) - 4*u - u**2 + 4*u.\nAnswer: 25*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8187, 8173, 8155, 8133, 8107, 8077, 8043?\n\"Answer: -2*v**2 - 8*v + 8197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b8 + -f?\nAnswer: -c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 301 and 310933?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + 2. Suppose 0 = l + 2, -2*d - 3*l = -5*d - z. Calculate the lowest common multiple of 8 and ((-8)\/(-5))\/(d\/(-25)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2314 (base 14) to base 8.\nAnswer: 13716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/60)\/(1\/(-3))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 7*o**2 - 7*o - 1. Let d be u(-6). Suppose b - d*b - 4 = 0. Let n be ((-2)\/6)\/(5\/(-15)). Sort b, n, 5 in decreasing order.\nAnswer: 5, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7743*h - 798 = -7722*h for h.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 21 = -4*f + 5, -o = 2*f + 10. Let t be -153 - (-10 + 36\/6). Is t*f*(-3)\/(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 458250 and 612222?\nAnswer: 76527750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 15 = c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 0*u - u)*(-3 - 1 + 3) + (6*u - 4*u - 4*u)*(3 + 2 - 2).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*24\/(-30)*-5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 1:55 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p = -8*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u - 8. Let z be g(2). Let m be 7\/42 - z\/12. Which is the third smallest value? (a) m (b) -1\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 489277071*0.2.\nAnswer: 97855414.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6812.026 millennia?\nAnswer: 6812026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -36*v + 888. Let d be (v\/18 - 3\/9)*-2. Let i(b) = b**3 + 3*b**2 - 3*b - 3. Determine i(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -148963 or -149109?\nAnswer: -149109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 12*h**3 + 6*h**2. Let i(s) be the first derivative of 6*s**4 + 11*s**3\/3 + 21. Calculate 6*i(k) - 11*z(k).\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 4. Let d be -1 - 0 - 8\/(-9). Suppose 3*l - t = -l, -l - 3*t = 0. Which is the nearest to l? (a) f (b) d (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 19941515.\nAnswer: 1\/3988303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, i: 15}. Give prob of sequence iii.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4.88 * -3\nAnswer: -14.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(405) - sqrt(45))*4)\/((5*sqrt(27)\/sqrt(3) - sqrt(9)) + sqrt(9)).\nAnswer: -4 + 8*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 106193377 divided by -7\nAnswer: -106193377\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 5*b + 3*b)*(-47*b**3 + 12*b**3 - 4*b**3) - b**4 - 4 + 3*b**4 + 3.\nAnswer: 41*b**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**2\/7 + 340*n\/7 + 14450\/7 = 0.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 - 4*c**3 - c**3 + 4*c**2 + 6*c**2.\nAnswer: -4*c**3 + 10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1476 is divided by 584?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -76 - -223. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 + -2 + -14 - 4) + 5 + 29?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**38*c*c)\/c)\/(c**2*c))\/(c**(-1\/3)\/(c\/(c*((c**(9\/5)\/c)\/c)\/c))) assuming c is positive.\nAnswer: c**(563\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 11*x**2. Let y(k) = 1074*k**2 - 51*k + 357. Let g(v) = 43*v**2 - 2*v + 14. Let q(s) = 153*g(s) - 6*y(s). Determine q(t(r)).\nAnswer: 16335*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -274, -864, -1998, -3856?\nAnswer: -6618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 9:44 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1712535 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - 2*r**2 - r**3)*(2 - 2*r**2 - 2) + 6*r + 5*r**5 + 6*r**2 - 6*r**2.\nAnswer: 7*r**5 + 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2461 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*m - 8. Let u = 3 - 5. Let r = 9.7 + -10. Put u, r, m in increasing order.\nAnswer: u, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 12*r**2 - 14*r + 14. What is the units digit of f(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2007 by 9.\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -15*d**3 + 1201*d**2 + 2370*d + 1189. Let p(g) = 6*g**3 - 600*g**2 - 1185*g - 594. Let f(h) = -7*p(h) - 3*z(h). Factor f(l).\nAnswer: 3*(l + 1)**2*(l + 197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 675596, 675440, 675284?\n\"Answer: -156*k + 675752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 16140?\nAnswer: 16140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 - 174 = -3*i. Let v = 905\/8 - i. Which is the closest to -1\/2? (a) -0.2 (b) -2\/23 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7 - (-10 + 1) - -1*4. Suppose -2*l = 3*i + 2*l - 7, 0 = 4*i - l - 41. What is the highest common factor of p and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unnsvzz. Give prob of picking 1 v, 1 s, and 1 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 382 + -381. Let n(l) be the first derivative of l**4\/12 - l**3\/3 + l**2\/2 - l - 1. Let w(s) be the first derivative of n(s). Give w(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 134 and 176411.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -1, -2, 6, 13 in increasing order.\nAnswer: -2, -1, 1, 3, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6\/247 - -6645\/988. Calculate the common denominator of 101\/212 and i.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -62*p - 3. Let j be q(1). Let o = j + 328\/5. Let x = -9.8 - -10. What is the second biggest value in o, -5, x, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*i**2 + 5*i**2 - 19*i - 8*i**2 + 22*i**2 as k*i + z*i**2 + d and give z.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -12. Let w be (-69)\/(-21) + 4\/(-14). Let u = l + w. What is the remainder when 5 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.1 - 6. Let h = -0.12 - -8.12. Let c = h - 9. Is c >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((13 - 30) + 15).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 2240\/(-196))\/((-41)\/7 + 6)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.2619 * 17810.\nAnswer: -58094.439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 535680966*h*s - 334862969*s wrt h?\nAnswer: 535680966*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72 by 2.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30352 - 30369. Let p(w) = w**2 + 13*w + 12. Give p(s).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 146089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**3\/2 - c. Let r = 10 + 285. Let k(b) = 6*b**2 + r*b - 295*b + 9*b**2 - 12*b**2. Give k(h(g)).\nAnswer: 27*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - -2 - -1)\/(-1). Suppose a*i - 12 = -z, -z + 0*i = i - 11. Let s(d) = -4*d + 62. What is the lowest common multiple of s(z) and 30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 2*a - 2850002, a + 428304 = -f - 521695. Round f to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/6)\/(24\/16). Let g be (0 + -1 + u - -14) + 1. Suppose -g*i = -9*i - 88. Is 22 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7)*t)\/(t\/(((t\/t**19)\/t*t*t)\/t))*(((t**(-1\/15)*t)\/t)\/t)**(-8\/9) assuming t is positive.\nAnswer: t**(-3247\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 3. Suppose 2*f - i = -f. Suppose r + 0*r = 0. Solve 5*u + 0*x - 20 = 5*x, -f*u - 2*x + 4 = r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19639335, -19639335, -19639327, -19639305, -19639263, -19639195?\nAnswer: -19639095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 174 - -5306?\nAnswer: 5502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(33)\/sqrt(3) + sqrt(11) + sqrt(11) - sqrt(11)) + sqrt(11) + (sqrt(11) + sqrt(11)*-2 + -5 + sqrt(11))**2.\nAnswer: 25 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 2:57 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 20\/12*12\/(462\/98 - 5)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*2\/2*(-276)\/(-3864)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 1 + 3 - 0. Suppose -5*f + n*s + 13 = -0*f, 5*f = -2*s + 33. Suppose 85 = -70*g - 55. Sort 4, f, g in descending order.\nAnswer: f, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/324 and -67\/6.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x - 1. Let j be w(-1). Suppose j*h = 2 - 8. Let y(u) = -4*u + 1. Let g(z) = 3*z - 1. Determine h*g(a) - 2*y(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 1:49 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/2*(6 + 120\/(-25)). Let c be 152\/6 + (-6)\/18. Let g = -1 - -5. Put g, q, c in decreasing order.\nAnswer: c, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - u = 0. Suppose u*c = -c + 3. Suppose -c*x - 24 = -6*x. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/12 and 121\/4530?\nAnswer: 9060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -2. Let i = -1 - g. Which is the nearest to 0? (a) -3\/5 (b) 0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 11*p**3 - 5*p**2 - 21*p - 4. Let g(y) = 6*y**3 - 3*y**2 - 11*y - 2. Give 5*g(u) - 3*n(u).\nAnswer: -3*u**3 + 8*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001000011010 (base 2) in base 3?\nAnswer: 20100122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -7*t. Let n(g) = 243*g + 8. Let l(j) = 16043*j + 526. Let v(k) = 4*l(k) - 263*n(k). Give v(i(h)).\nAnswer: -1841*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c + 2. Let x(a) = -1. Determine -d(n) - 3*x(n).\nAnswer: 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 6*f**2 - 4*f + 6. Suppose 438 = -4*b + 2*v, 3*v = b + 2*v + 109. Let d = 105 + b. What is k(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*t - 5*t + 8 = 0, -4*r + 32 = 5*t. Let d be 1\/(3*(-1)\/(-6)). Let q be d*15\/(-10) - (-8)\/r. Put 3\/5, q, 3 in descending order.\nAnswer: 3, 3\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/649?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 938783579.\nAnswer: 179, 5244601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(68) - (sqrt(68) - 2*sqrt(68)))*-1)\/(sqrt(484) - (sqrt(484) + sqrt(484) + (1*sqrt(484)*-4 - sqrt(484)) - sqrt(484)))*-4.\nAnswer: 16*sqrt(17)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -3. List the prime factors of (f\/4 - 0) + 29.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 9*k + 7. Let p(l) = l**2 + 10*l + 7. Let x be p(-8). Let z be o(x). Is z at least 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20\/(-6))\/(1\/(-3)). Let p be 4\/g - (-4)\/(-35). Let y be 2\/6*1 + (-1)\/3. Which is the third smallest value? (a) 5 (b) p (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -1591*j + 4701. Give c(3).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4839, 38487, 129819, 307677, 600903, 1038339, 1648827?\nAnswer: 2461209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52941 (base 10) to base 8.\nAnswer: 147315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -0.2878, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11404 is divided by 242.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(825)*-2*-1)\/(3*1*sqrt(891)*4).\nAnswer: 5*sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 g when two letters picked without replacement from hjgkx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 7) to base 5.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**2 + 4*s + 1. Let a be b(3). Suppose -2*x = -2*w - 7*x - 12, -3*w - 18 = 3*x. Is w bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*2\/(-2))\/(16\/(-8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*(p**(-1\/10)\/p)\/p*p*p)*p**(-5) assuming p is positive.\nAnswer: p**(-49\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 99 + -78. What is the third smallest value in c, -0.3, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z - 3*z + 2*z)*(z - 4 + 4) + (4*z**2 - 2*z**2 + z**2)*(2 - 4 - 3) in the form b*z**2 + a*z + u and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - -939*8\/1884. Which is smaller: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*b**2 + 28*b**2 - 34*b**2.\nAnswer: -61*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3 = r, 2*r + 5*p = -1 + 4. Solve -5*m + r*h - 24 = 0, -2 = m + h + 1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -4 + 2 + 4. Solve -n*z = 4 - 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + sqrt(176)*2 + 2.\nAnswer: 2 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/3))**(-4)*(t**0)**(-2\/111) assuming t is positive.\nAnswer: t**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 1 = p. Let q be (2\/(-10))\/(p\/((-55)\/(-6))). What is the third biggest value in q, 1\/7, 4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26 - -1445231?\nAnswer: 1445260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 2*k**2 - 7*k - 1. Let f be v(6). Suppose -4*g = -8, -2*w = -w - 5*g + 34. Let d = w + f. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/22)\/((-11)\/(-44)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)*-1*-2 - sqrt(68) - (sqrt(68) - -4*(sqrt(68) - (3 + sqrt(68))))) + (sqrt(17) - (sqrt(17) - sqrt(153))*6)*1 + 1 + 3 + sqrt(17) + 1)**2.\nAnswer: 476*sqrt(17) + 3621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 777*y - 787*y + 10 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 45049 - 7866*i - 45049 - 17198*i as q + w*i and give w.\nAnswer: -25064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -5*q**4 - 2115*q**3 + 166615*q**2 - 160245*q - 328970 = 0.\nAnswer: -491, -1, 2, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 8, v: 2, o: 1, n: 2, g: 1, e: 6}. Give prob of sequence nov.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1576366 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -19*c - 1134. Let p be m(-62). Solve 0 = 3*y - 25*y + p for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b + 114. Let q be c(-24). Let y(r) = 2*r + 11. Let f(a) = -9 - a - 3*a - 19 + 4 + 3. Calculate q*f(m) - 11*y(m).\nAnswer: 2*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35039232 and 205308.\nAnswer: 105117696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19156 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 5*z - 378. Let q be (z\/28)\/((-3)\/(-2)). What is the tens digit of (176\/(-20))\/(q\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 19*u - 2. Let q be j(-1). What are the prime factors of (-6)\/q - (-654)\/14?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -3*z + 12. Let i be -2 - 2\/z*-26. Suppose x = 80 - i. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 333517 + -175522. Suppose -5*g + d = -3*q + q, 4 = -4*g. Round q to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/50 - -11\/75. Let k be (-2)\/(-8) - 7\/(-84). What is the nearest to k in z, 1\/3, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8903 is divided by 8741?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 3\/4*d**5 + 0 + 0*d**2 + 0*d + 0*d**4 + 0*d**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 12*g**2 - 7*g - 6. What is the remainder when 55*(210\/25)\/6 is divided by b(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (5 + -5 + 7 + -7) - 19.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tfq when three letters picked without replacement from thqktffftkkfsf.\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*u + 15879 - 15798. Let k(z) be the second derivative of -2*z - 11\/12*z**4 + 7 - 13\/6*z**u + z**2. What is the second derivative of k(n) wrt n?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -25*i**3 - 80*i**2 + 70*i + 45. Let j(c) = -25*c**3 - 81*c**2 + 70*c + 44. Let x(q) = 5*j(q) - 4*s(q). Find b, given that x(b) = 0.\nAnswer: -4, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-16) + (-476)\/(-595) + (-1 - (-572)\/160).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, m: 5}. Give prob of picking 1 a and 1 m.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 398 a factor of 238663788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18252, -23024, -35970, -61176, -102728, -164712, -251214?\n\"Answer: -681*r**3 - r**2 - 2*r - 17568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5 = -f - 16, 0 = -5*n + f + 26. Let o = 6 + 53. Let a = o + -54. Solve 4*x - n*p - 22 = -5, x = -a*p - 27 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 478898104 times -1?\nAnswer: -478898104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35232 is divided by 49.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-30)\/(-30) - (-4)\/(-3))*2. Suppose -178 = -4*o + 138. Which is smaller: w or o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p + 90365 = 90341 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2223626 is divided by 3005?\nAnswer: 2931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 12:51 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1520 - -3564?\nAnswer: 2044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6148536 is divided by 291.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/239120 and -121\/560.\nAnswer: 239120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214 (base 11) to base 13.\nAnswer: 16a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 21*r**2 + 43*r - 4. Is t(19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 50*d - 125031 = 49*d, 4*y - 166651 = 5*d. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -6. Suppose -v*g = -2*l - 287, -2*g + 62 = 2*l - 64. Let b = g - 35. What is the highest common factor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -77*g**4\/2 + 5*g**2\/2 + 17*g - 236. What is the second derivative of n(t) wrt t?\nAnswer: -924*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*l - 193*l - 131*l + 430*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1878 divided by 313\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02 <= 2537902?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**3\/6 + 2*x - 4. Let y(r) = 107*r**2. Determine y(o(v)).\nAnswer: 107*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 339 + -312. Let s be (0 - 8)\/(-1) + -3. Suppose 0 = -s*q + n + 20, -5*n - 16 = q + 2*q. Calculate the highest common divisor of a and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 283*m + 142*m + 139*m.\nAnswer: -2*m - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(875) + sqrt(875)*4 + sqrt(875))\/(-3*sqrt(28)) - (3 + (((sqrt(450) - sqrt(50)) + sqrt(50))\/sqrt(10) - (1 + sqrt(125))) + -1).\nAnswer: -3*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 9:54 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 2.3. Let h = 0.1 + 0.7. Let s = h + -3.8. What is the third biggest value in s, -3\/8, z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 9*q**2 + 8. Let t be u(-9). Let n(g) = g**3 + 8*g**2 - 6*g - 18. Is n(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-18 - -20 - (-2 + -1)) - 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6)\/o)\/(o**3\/o) assuming o is positive.\nAnswer: o**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -18. Let v(c) = 20*c - 10. Let u be v(f). Let k = -2102 + 2154. Calculate the greatest common divisor of u and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 162 - -204. Let a = w - 94. Calculate the greatest common factor of 204 and a.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 11 = -c - 2*k, 6 = -2*k. Let o = 0 - 0. Suppose o = c*l - 0 + 15. Is -1 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**4\/2 - 4*z**3\/3 + z**2\/2 - 10*z - 2067. Give h(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 407981 and 9352.\nAnswer: 1169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2384776 and 2149.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*v = 2*v + 20, 0 = -2*i + 5*v + 10. Suppose -6*k + 313 = -i. Let r = k + -41. What is the remainder when 47 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*l + 88 = 0, 0 = 4*d + 14*l - 9*l - 150. What is the highest common divisor of 160 and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(275) + (sqrt(1331) - -1*sqrt(1331) - sqrt(1331))**2.\nAnswer: 5*sqrt(11) + 1330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -3.1951.\nAnswer: -0.95853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 23.8269?\nAnswer: -24.2269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -765*n - 110. Suppose 3*y + 2*y - 3*h = -10, -4*h = -4*y. Is u(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmnm when four letters picked without replacement from {n: 3, m: 7, t: 4, a: 5}.\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 - 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.2053 + 3.5053. What is the smallest value in 5, t, 30415?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from kggkgkgkgkgggggggg.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3*g - 4 = 0, 0 = 3*q - 4*g - 0*g - 28. Suppose 3*y - 7*y + 14 = -2*v, -q*v = -y. Suppose -148 = -4*u - y. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**4 + 54*q**3 + 219*q**2 - 756*q - 4704 = 0 for q.\nAnswer: -8, -7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a + 11. Let y be l(8). Let b = -18 - y. Suppose -22 = 4*v - 9*v - b*n, -5*n = -20. What is the greatest common divisor of 3 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -452*t - 34836 = -4*t + 943*t + 22195 for t.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 155 = -3*s - 2*s, 0 = -4*s - 3*g + 127. Suppose -2*k + 141 = 2*d - 197, -3*k + 3*d + 513 = 0. Calculate the greatest common divisor of k and s.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*b = -8, 4*k - b + 12 - 33 = 0. Find the second derivative of 97 - 3*j**2 + 95 + 50*j + k*j**3 - 194 wrt j.\nAnswer: 30*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 88*c**3*t**4 - 95141*c**3 + 920*c*t**4 + 2*t**2 wrt t?\nAnswer: 2112*c**3*t + 22080*c*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -783 - -1439?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 7 - -4) + -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3224 divided by -52?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -15. Let j = 7 + -13. Let n be (j\/(-4))\/((-6)\/(-16)). What is the nearest to -2\/5 in o, n, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -16 (c) 0.056\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r*r*r\/r**(2\/109)*r*r)\/r)\/r)\/r**16*(r**13*r)**21)**19 assuming r is positive.\nAnswer: r**(583984\/109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 7*u + 9 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-52)\/(-6)*27\/18 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*c + 1414 = 0, -4*o + 5*c + 928 = -489. Let j(m) = -155*m - 192*m + o*m + 3. Give j(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 9:41 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/((j\/j**14)\/j*j))\/j)**(3\/10)\/((j*j\/(j*j**(2\/5)*j)*j)\/(j**(-3\/22)\/j)) assuming j is positive.\nAnswer: j**(271\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/23)\/c)**(-18)\/(c**0\/(c**(-1\/50)*c)) assuming c is positive.\nAnswer: c**(23627\/1150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66262 divided by -10.\nAnswer: -33131\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -24. Let p be ((-4)\/48)\/s*-2. Let i = -41\/4 - -10. What is the nearest to 1 in i, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -24*s. Let f be l(1). What is the common denominator of 6\/(-9) - 307\/f and (-3)\/(-48) - 6\/(-12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w**2 - 55*w + 57. Calculate the lowest common multiple of 18 and y(-18).\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.9 + 7. Let n = -0.1 + r. Let v = 1 + -4\/5. Sort 1, n, v.\nAnswer: n, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 4143 + 5973. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3 - 11 = 0. Let h(p) = p**2 + 3*p - 14. Let c be h(-5). Let v be (2\/g)\/(c\/30). Is -1 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 30*c - 21. Let g(s) = 2*s + 5. Let a(l) = 5*g(l) + x(l). Let p(w) = -81*w - 9. What is 5*a(f) + 2*p(f)?\nAnswer: 38*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16716, 33366, 50014, 66660, 83304?\nAnswer: 99946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drrrrdrdrddrrrrrdrd. What is prob of sequence ddrr?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/22)\/(2\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12007?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 times -0.3?\nAnswer: 15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -26761.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 15*n - 17. Let f be t(-14). Let h(y) = -y**3 - 4*y**2 + 2*y + 4. Let q = 11 - 15. Let v be h(q). Which is greater: v or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -0.073.\nAnswer: -0.0365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9829596 millilitres?\nAnswer: 0.0009829596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i + 24 = -9*i. Solve 3*s + 2*q - 9 - 1 = 0, 0 = -3*s + 4*q - i for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*u**2 + 6*u**2 - 28*u**2 - 24*u**2.\nAnswer: -35*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a minute in seconds?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a - 5. Let l be k(7). Let w(x) = -2 + 5 + x - 4 + x**l. Calculate w(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2. Let y(u) = -u**2 + u. Let g(n) = -f(n) - 5*y(n). What is the second derivative of g(h) wrt h?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-254)\/2*-5*4\/20 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (92\/(-115))\/(-2*(-1)\/(-460))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/324 and -191\/12001500?\nAnswer: 36004500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u + 6*u + 0*u + 0*u. Let d(a) = 26*a. What is y(d(q))?\nAnswer: 26*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 122 = -x - 3*q, -x + 5*q = 134. Let g = -64 - x. Suppose 0*m - 20*m + g = 0. Solve -4*a + m*v = 4, 2*a + 5*v + 24 = a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -m - 4*m. Let a(d) = -4 - d**3 - 7*d**m + 7*d**3 + d**2 + 7*d + 3*d**2. What is a(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -152 + 24. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -178 + 177.94. Let i = 92 + -92.86. Let t = k - i. What is t rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**4\/2 + 61*q**3\/4 - 13*q**2\/2 - 123*q\/4 + 45\/2 = 0.\nAnswer: -3\/2, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 1 + 2*c**2 + 3*c**2 + 3*c - 6*c**2 - c**3. Is a(-4) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19*(-11)\/(-209)*78\/(-1287)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/5*5\/(-6). Let x = -3298\/3 + 1098. What is the second smallest value in 3, x, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*p - 3*p + 2*p)*(3*p - 3*p - 3*p**3 + (3*p**2 + 3*p - 3*p)*(p + 0*p - 6*p)) - p**4 - p**4 + p**4.\nAnswer: -217*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-3))\/(-2)*148\/1036\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*p + 3353 = -75*p + 256*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -1. Let v = -1 - -1. Let i = 2 + v. Let u(f) = -8*f - 3. Let r(k) = -5*k - 2. Let m(o) = -5*r(o) + 3*u(o). What is i*m(a) + 4*n(a)?\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 1 - 3. Suppose -n + 13 = 2*h. Solve -h = -0*z - 2*z - 5*i, -8 = 2*z - 2*i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*h + 9, 18*h = 13*h + 4*z + 11. Sort 0, -4, -3, h in descending order.\nAnswer: h, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) -2\/193 (c) -0.04 (d) 2\/3 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4655290?\nAnswer: 2, 5, 465529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 490\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 12:32 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w + 32. Let r(d) = 30*d - 2. Let t be r(2). Let g = -46 + t. What is the least common multiple of 8 and o(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*x + 4*x**2 - x**2 + 5*x**2 + 0*x**2.\nAnswer: 8*x**2 - 15*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 8*c + 3320 = 0. What is the tens digit of (11\/55)\/(2\/c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47850 - -47850.032423. What is f rounded to 3 decimal places?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 5*r + 20. Let u be x(-8). Let i be -10 - (-1 + u) - -10. Solve n - 8 = i*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 549 and 1008?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -605*f + 2420. Calculate v(6).\nAnswer: -1210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 minus -6012?\nAnswer: 5985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 71 + 4?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6939243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 9*t**2. Let g(d) = -152*d + 268*d + 450*d + 693*d. Calculate g(o(j)).\nAnswer: 11331*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17564 is divided by 3447.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -2\/11, 2, 8\/19?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -4214687.\nAnswer: -2107343.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 504167381?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86277921 divided by 3207.\nAnswer: -26903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002660894 rounded to 6 decimal places?\nAnswer: -0.002661","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in 3, -0.1, 6\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(13\/(-24687)*3) is divided by 167.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.514? (a) 0.1 (b) 0.21 (c) 0.9 (d) 3 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -48837*p**2 + 2*p. Let a(w) = 4*w**2. Give c(a(l)).\nAnswer: -781392*l**4 + 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 15 - -11 - -9.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 53*g. Let h(p) = -p**2 + 300*p. Calculate u(h(t)).\nAnswer: -53*t**2 + 15900*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.23 + 0.227564. Round h to four decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*p + 2 + (0*p - 3*p + 2*p)*(4 - 4 + 1) + p + p - 4*p + 0*p + 2*p - p + 3*p - 3*p - 2*p + 383*p + 187*p - 82*p)*(4 + p - 4).\nAnswer: 486*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -2*b**7\/7 - 22*b**6\/3 - 322*b**5\/5 - 172*b**4 + 336*b**3 - 850*b. Find o such that m(o) = 0.\nAnswer: -7, -6, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*w - 85, -5*z + 140 + 345 = -3*w. Calculate the greatest common factor of 60 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 661732 (base 9) to base 8\nAnswer: 1403351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - -2*12\/4. Let y be (o + -6 - -4)*1. Let w(f) be the second derivative of -3*f**4\/4 + f. Determine w(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 188\/(-46530)*33*9\/2.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3)*(17 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2. Let a(l) = -38*l**2 + 5. Let c(u) = -94*u**2 + 12. Let q(g) = 12*a(g) - 5*c(g). Determine z(q(p)).\nAnswer: -196*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**5\/9 - 9186424*p**4\/9 + 7032507661708*p**3\/9 - 1794513109733882056*p**2\/9 - 14356505734482354608*p\/9 - 12561985592231624416\/9 = 0. What is p?\nAnswer: -7, -1, 765538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/893656 and 47\/56.\nAnswer: 6255592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l - 2 - l + 0*l)*(-114 + 151 + 331) to h*l + b and give b.\nAnswer: -736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 37\/2 + (-2)\/4. Suppose 9*o - 14 = 2*o. Solve u = 4*b - 3, -b - q = -6*u + o*u for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 25 = -10*o. Solve 2*p + b = -3*p, -5*p + 30 = -o*b for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -181205, -181216, -181235, -181262, -181297, -181340?\n\"Answer: -4*m**2 + m - 181202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -10*v. Solve -2*d = -v*d - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -14*k - 63. Calculate v(-25).\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l + a - 8, -16*l + 12*l = -3*a + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24235924*o**2 + 30165226*o wrt o.\nAnswer: -48471848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -99\/4 - -97\/4. Put 4, -122, x, 0.5 in ascending order.\nAnswer: -122, x, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 3. Let r be 2\/(-35) + (-28)\/(-140). Which is the nearest to 0? (a) y (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-2) - (-25*8\/(-10) - 16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1289.\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 3)*(-309*w + 130*w + 107*w)*(10 - 9 - 2) to the form l*w + k and give l.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8173.269ml to litres.\nAnswer: 8.173269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -309*c**2 - 8341*c + 55. What is y(-27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*n - 3*n + 21*n)*(-3*n + n**2 + 3*n + (-2 - 3 + 4)*(-n**2 - n**2 + 4*n**2) - 4*n**2 + 0 + 0) in the form c*n + d*n**3 + p + u*n**2 and give d.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8276*w - 8277*w + 16556*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 385415700 and 77083140?\nAnswer: 385415700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.4? (a) -3 (b) 26 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 0) + -5 + (11 - 8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1 - -54) + 13433 + -13459.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 149 - 106. Calculate the remainder when x is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/7 greater than or equal to 714708?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 9:14 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -5. Is u\/(-5) + (-1302)\/(-30) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 43*g + 437. Determine d(-9).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -943 or 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84885?\nAnswer: 3, 5, 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 2) + (24 - 24) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 3. Calculate the common denominator of 137\/24 and (-128)\/18 + 4 - y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6296*w + 4085*w = 1160*w - 866774 for w.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {m: 1, z: 2, g: 11}.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 40*k + 16. Let r(v) = -2*v - 4*v - 9 + 36 + 19*v - 22. What is 5*i(b) - 16*r(b)?\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/4 + 5241*a\/4 + 1311.\nAnswer: -3*(a - 1748)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 4*c + 10 - 0, -2*c + 37 = 5*p. Let j be 2*(-3)\/(-6) + p. Let t(i) = 4 - 6*i + 4 - j. Let b(v) = 4*v. Determine b(t(q)).\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10210 - 11?\nAnswer: -10221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(2736)*-1)*-2)**2 + (2*sqrt(2736) + 0 - sqrt(2736)*2*-6).\nAnswer: 264*sqrt(19) + 10948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*d + 1 - 30*d - 2)*(2 - 4 + 5).\nAnswer: -27*d - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -3. Suppose -5*o + 2*b = 0, -1 - 22 = -4*o - 3*b. Let y = o + i. Solve -5 = -2*m - y for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus -807524078132?\nAnswer: 807524078137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -8*r - 91. Let d be z(-16). Let x = -4 + 18. Let f be (-370)\/(-4)*(-12 + x). Calculate the highest common factor of f and d.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o**4\/3 - 656*o**3\/3 - 287*o**2\/3 + 656*o\/3 + 100 = 0. What is o?\nAnswer: -50, -1, -6\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*n**2 - 3*n - 2*n**2 - 1 + 3*n**2 + 4*n**2 as z + l*n**2 + s*n and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**4 - 2*d**4 + 4*d**4 + (3 - 3 - 1)*(d**4 + 3*d**4 - 3*d**4) + 70*d**2 - 339*d**4 - 70*d**2.\nAnswer: -338*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**1)**(-3\/34)*(d**(2\/7)*d)**45*((d**(-1))**12)**14 assuming d is positive.\nAnswer: d**(-26277\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37097416?\nAnswer: 2, 1231, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (35\/(-175))\/(1\/3)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 - 51.8. What is the nearest to 0.1 in j, 0.2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 0.06983?\nAnswer: -4.06983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 39752472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 - 73. Let f(j) = 7*j + 2. Let w(l) = -8*l - 1. Let x(u) = -7*f(u) - 6*w(u). Let p be x(y). Solve p = -i + v - 4*v - 9, -5*v = 3*i + 19 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - -1 - (-88 + 27 - -121).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2069287215?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21569 - 64699 + 97*j + 21565 + 21565.\nAnswer: 97*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 3 + (-306)\/(-81) + 0\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - -2 - 8 - -2. List the prime factors of 152\/6 - m\/(-24).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (50\/(-300) - (-34)\/(-12)) + 1 + 9. Suppose 0 = o - 4*y - 0*y, -3*y - 27 = -3*o. Let p = o - x. Solve -p*k + 35 = -5*d, 2*d = -2*k - 3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/5275858 and -81\/14?\nAnswer: 5275858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.9994 plus 25162?\nAnswer: 25154.0006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**4\/12 - 3*q**3\/2 - 245*q**2. Determine x(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 51 = -2*n. Let q(r) = 3*r**3 + 37*r**2 + 15*r + 32. Calculate the remainder when q(-3) is divided by n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 5. Suppose b = -p + 3*p - 42. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 464*u + 463. Determine t(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 95874 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 4*g**2 + 4*g - 7. Calculate j(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.595 - 105.495. Let b = s - -104. Sort 6\/7, b, 25, -0.5 in ascending order.\nAnswer: -0.5, b, 6\/7, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5, -25, -79, -185, -361, -625, -995?\n\"Answer: -3*x**3 + x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4 + 684*o**3 + 24160*o**2.\nAnswer: 2*o**2*(o + 40)*(o + 302)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 4:18 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79.03 + -9.33. Let d = 133.6 - y. Let g = 67 - d. Which is smaller: -0.1 or g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 38*p**2 + 27*p - 8. Give i(-37).\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j + 2*f + 36 = 6*f, 0 = j + j + 2*f + 1 + 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -93 by 9.\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3655 + -2134123?\nAnswer: -2141111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0\/(i\/(i\/(i*i**(-2)))*i))**38\/((i**0)**(-1\/25)\/((i*i**(-1))\/(i\/(i*i\/i**(-4))))) assuming i is positive.\nAnswer: i**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 352 and 638.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*j**3*z + 67208*j**3 + 198582*z wrt j?\nAnswer: -12*j**2*z + 201624*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-7 - 5)) + -13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -494*b = -197*b - 5346 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -290 + 221. Let u = t - -68. Let q = 0 - 2. Which is the nearest to u? (a) 4 (b) -0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4990805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 279882.5 centimeters in nanometers?\nAnswer: 2798825000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 - 67. Let n be (40\/(-90))\/(v\/18). Solve 0*o**3 + 1\/8*o**n + 0*o**2 + 1\/8*o**5 + 0*o + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 47 - 44 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*h - 19*h + 291*h - 10446 = 3666 for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -1\/14 (c) -9\/7 (d) -5 (e) 3.191\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -6*v**3 - 8*v**2 - 9*v + 2. What is the hundreds digit of j(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4515898 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 12:02 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 7) + -5 + 0 + (-2 - -2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33429881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 4\/11, -4, 5?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118931?\nAnswer: 118931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 y when four letters picked without replacement from yhhhyyyyyh.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -108 + 48. Suppose -1967 = 65*q + 308. What are the prime factors of (-98)\/(-4)*v\/q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 218865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19738 + 19754. Solve -v*a = -9*a + 63 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -5, 2, 0.1, 30 in descending order.\nAnswer: 30, 2, 4\/7, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 6) + -2 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u + 8*u**2 + 0 + 1\/3*u**3. Let j be l(-8). Solve 0 = -4*m + 4 - j for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8181210 rounded to the nearest ten thousand?\nAnswer: -8180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 2:29 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 21*p**2 - 43*p + 51. Let g be y(23). Calculate the highest common factor of g and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 + 89 + -5 + -43?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -4*d - 4, r - 4*d - 13 + 3 = 0. Let z(x) = 4*x - 7*x**r - 10 + 39 + 27*x**2 - x**3. What is the units digit of z(20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + n - 3 + (-2 - 9 - 2)*(n + 0*n - 2*n) - n - 5*n + 5*n as z*n + s and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 22*a**2 + 21 + 19*a**2 + 9*a**2 as v*a + r + w*a**2 and give w.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-1)\/4*11*(-24)\/(-44).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.0172 - -0.0172. Which is the nearest to j? (a) -1 (b) -3 (c) 5 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 6*x**2. Let f(c) = -10*c + 3*c - 79783 + 79790. Give g(f(d)).\nAnswer: 294*d**2 - 588*d + 294","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 + 3*l**2 + 3*l + 1. Suppose -2*t = r + 3, 0*t = -3*t + 2*r - 15. Let d(i) = 2*i**3 - 4*i**2 - 4*i - 2. Calculate t*d(v) - 4*z(v).\nAnswer: 2*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 34564 divided by 3?\nAnswer: 34564\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y + 272*t - 275*t = 79, -2*y = -4*t - 10 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -68, -137, -206, -275, -344, -413?\n\"Answer: -69*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2998 is divided by 77?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3007 + 187*b**3 + 180*b**3 + 3003 - 360*b**3 - 6010.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -107 + 131. Let -3*z**4 - 428*z**3 + c*z + 422*z**3 - 6*z + 15*z**2 = 0. Calculate z.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-4)*16\/(-48). Put 0.2, h, -1\/6 in ascending order.\nAnswer: -1\/6, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 775*h + 9130 + 12904 = 1884 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.8 - -0.8. Which is the nearest to x? (a) 0.5 (b) 0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-45)\/(-171))\/(-5)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 3 (c) -4 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10350 - -10348. Which is the second smallest value? (a) 0.5 (b) 1\/9 (c) j (d) -5 (e) 315\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 9*x**2 + 4467*x + 168037. What is t(-41)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 471451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1018087.\nAnswer: 7, 145441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 w when two letters picked without replacement from {n: 7, w: 4, s: 2}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92 + -128. Let s = -28 - d. Suppose -s*n + 130 = 10. What is the highest common factor of n and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d**5 - 696*d**4 + 471*d**3 + 234*d**2 = 0. Calculate d.\nAnswer: -78, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 3:41 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*5*(1 + (-4 + (sqrt(17) - (sqrt(17) + -2 + -2)) + sqrt(2448)*-2)**2 + -2).\nAnswer: -97910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 237 - 103. Let v = 131.68 - a. Let t = 18.38 - v. Round t to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-6)\/(-15)*(-85)\/17\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*t + 24. Let k be (-3)\/t*(5 - (-3 + 4)). Let r = k + 2. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1, -286, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000013882 rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*a + 9, s - 4*s + 9 = 0. Let q be (a + 1)*(-252)\/(-48). What are the prime factors of (7 + 91\/q)\/((-4)\/(-42))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2882 or -2881?\nAnswer: -2881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**2 + 3*a - 2. Let o(b) = -7*b**2 - 7*b + 5. Let c = 23 + -38. Let n be c\/3 + 0\/(-2). Let j(r) = n*h(r) - 2*o(r). Factor j(d).\nAnswer: -d*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (11 - 5) - -5 - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 4:55 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8\/57 - 188\/285. Let z = 1499264\/95 + -78897\/5. Let k = -48\/19 + z. What is the fourth smallest value in -0.4, k, v, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**2 - a**2 - 7*a**2 + 21*a**2 - 3*a**2 - 51*a.\nAnswer: 5*a**2 - 51*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -6893 - 1623. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1709, -0.06, 0.5, -96?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.11 and -121?\nAnswer: -376.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -5 + (2 - 15).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/5)*y)\/y**(-12))**(-4\/29) assuming y is positive.\nAnswer: y**(-252\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eierrrieee. What is prob of picking 3 e and 1 r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 399 + -296. What is the remainder when b is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*s**3 - 4648*s**2 - 778*s - 5.\nAnswer: -42*s - 9296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.9 - 0.3. Let u = -0.8 + n. What is the second biggest value in u, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13591 - -20581. Calculate the highest common factor of i and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77 - 42. Let m = r - 8. Suppose m = 2*l - 61. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1413245 - -1.8586723. Let a = -0.05 - 1.95. Let p = a + o. Round p to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-3) + 156\/(-18). What are the prime factors of 0 + y*4\/(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27201208817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 291 + 1497.\nAnswer: 1788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*4\/120*-5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**4\/15 - 2974*q**3\/15 - 128276*q**2\/15 - 48928*q\/3 = 0.\nAnswer: -40, -2, 0, 1529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51.2 + -51. Let v = -11 + 16. What is the third biggest value in v, -2, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-2*sqrt(136) + sqrt(136) + (sqrt(136) + sqrt(136)*2)*1)*3)\/(6*sqrt(40)\/(sqrt(25)\/sqrt(5))*-1).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 5*z**2 - 2*z - 8. Let f be o(4). Solve 3*p - 8 - 1 = f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*u**4 - 7285*u**3 + 415137*u**2 wrt u?\nAnswer: 336*u - 43710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 973729*b**5 - 925258*b?\nAnswer: 19474580*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -192 + 168 + (-4 + (5 - -3) - 3)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(63))\/sqrt(9) - (sqrt(7) + sqrt(42)\/sqrt(6))*2) + 2)**2 + (sqrt(126)\/(2*sqrt(9)))\/(sqrt(24)\/sqrt(108)).\nAnswer: -13*sqrt(7)\/2 + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1973*q - 14 = 5*n + 1971*q, -3*q = -4*n - 14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1440504 is divided by 144050.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*v = -80*v - 260*v - 64*v + 19824 for v.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 36\/(-12)*1*3\/(-9). Suppose 4*p + a + x = -1, 4*a + 8 = -3*p. What is the closest to p in -0.9, 3, -5?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 4*k - 619 + 1609, k + 999 = -3*g. Let h = g + 338. Suppose 0*d - 5*d + 10 = 0. What is the lowest common multiple of d and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1551135 + 0?\nAnswer: 1551135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 271951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**4\/5 - 6*u**3 + 66*u**2\/5 + 382*u\/5 - 84 = 0. What is u?\nAnswer: -3, 1, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x**2\/x)*x))**(1\/2)\/(x**11\/(x*x**(1\/25)\/x*x*x*x)) assuming x is positive.\nAnswer: x**(-199\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002261901182 rounded to six dps?\nAnswer: 0.000226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 68*f**3 + 10879*f**2 - 132*f + 4498. Give g(-160).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1124 + -1119. Suppose 0*n + 96 = 4*n. Calculate the remainder when n is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 5. Suppose -3*k = 5*x - 31, -3*x + 19 = 4. Suppose -3*j = -k*j - 14. Solve 29 = c*i - 5*b, -6*i - 3*b = -5*i + j for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 + -4 + 0 + 17. Suppose 2*x = -5*i - 0*i + 240, -3*x = -i - 394. Suppose -q + 2*q = 3*b + a, -x = -4*q + 2*b. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/x**(1\/35))*(x\/x**(5\/2))\/x*(x*x**28)\/x*x**(1\/43)\/x assuming x is positive.\nAnswer: x**(73901\/3010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(200) - (4 + sqrt(200))) + -4 - (sqrt(200) + 1)*-6)*1)**2.\nAnswer: -480*sqrt(2) + 7216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + ad?\nAnswer: ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 10:21 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -639, -2565, -5775, -10269, -16047, -23109?\n\"Answer: -642*j**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110000 (base 2) in base 14?\nAnswer: -c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 4*z**5 + (-1 + 0 + 3 + 2 - 3 + 2 + (-3 + 4 - 3)*(-1 - 1 + 0) + 0 + 2 - 1)*(144*z + 17*z**5 - 144*z).\nAnswer: 132*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c**2. Let m(w) = w**2 - 5*w + 10. Let t be m(4). Let g(u) = -27*u + 27*u + t*u**2 - 4*u**2. Calculate y(g(x)).\nAnswer: -12*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -58, -125, -236, -391?\n\"Answer: -22*q**2 - q - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3)\/k**(-4))**(3\/17))**21 assuming k is positive.\nAnswer: k**(63\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 676720.7l?\nAnswer: 676720700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 9:12 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -475 + 70?\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2978005.\nAnswer: 5, 487, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 14*t**2 + 13*t + 23. Let v be w(-13). Let i = v + 19. Is 21 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akzakzzkakkkzakkk. Give prob of picking 2 k and 1 a.\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (27 - (4 + -8 - -11) - -1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)\/sqrt(24) + sqrt(342)\/(3*sqrt(9)))\/((sqrt(10) - sqrt(10)*-1*5)\/(sqrt(320)*2)))**2.\nAnswer: 7600\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1184894 to the power of 1\/2, to the nearest integer?\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u - 363446 = -66*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9859, -40030, -90321, -160738, -251287?\nAnswer: -361974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 95.5946 nanograms?\nAnswer: 0.0955946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from jttttttttj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 11 + 5. Let a be ((-6344716)\/35)\/((12\/(-15))\/4). Suppose q*h - 13493612 = a. What is h rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*q**(-20)*q*q)\/q*q)\/(q\/q**(-23))*q**(5\/6)\/(q**10*q) assuming q is positive.\nAnswer: q**(-301\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000140152 to 5 dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kuqjeeujs. Give prob of sequence eq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/4 + 3*k - 13\/4.\nAnswer: (k - 1)*(k + 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 785574 times -88?\nAnswer: -69130512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -c**5\/4 + 10*c**4\/3 - 40*c**3\/3 + 7*c + 44. Let d(n) be the first derivative of y(n). Factor d(k).\nAnswer: -5*k*(k - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -27*d**2 + d + 15. Let y(z) = -13*z**2 + 8. Let h(n) = -3*j(n) + 5*y(n). Let r(o) = -8*o**2 + o + 2. Let s(x) = 3*h(x) + 7*r(x). Give s(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2501283?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y = 535 + 73. What is the remainder when 39 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*v + 65*v + 2*t = -343409992, v - 68682004 = -t. Round v to the nearest one million.\nAnswer: 69000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 14*b**2 + 10*b + 37. What is l(13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 276 = 4*a. Let j = a - -61. What is the remainder when 34 is divided by 10 + j\/(-20)*5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280912 greater than 280911?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/19 (b) -1 (c) -0.065\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 102*l**2 + 34*l - 78. List the prime factors of a(9).\nAnswer: 2, 3, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2044 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149130127 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 13 + 13)*(-1 + w + 1)*(2 + 3 - 1) as a + p*w and give p.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 1:16 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -0.372.\nAnswer: 0.0744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in -1.1, -12, 0.63, -4?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from waweav. Give prob of sequence aae.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*a + 25 + 2*a - 25.\nAnswer: 36*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 232167128 and 80?\nAnswer: 2321671280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/((-5)\/(25\/2)). Let g = 21 + s. Calculate the greatest common factor of 99 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) -1 (c) 1\/4 (d) -4 (e) -3248\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1182384 divided by -8211\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3034, 11779, 26356, 46771, 73030?\nAnswer: 105139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 15 = -5*p, s + 3*p = 916112. Let b = s - -1983903. Round b to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 504*l + 19804. What is o(-39)?\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.15 (b) 4 (c) 46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 87\/3*(20\/4 - 4). Solve -5*p = -i + 4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 91 and 520?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3709*h**3 + 30*h + 2945*h**3 - 30*h.\nAnswer: -764*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 3*v - 4. Let m(s) = s**3 + 2*s**2 - 4*s + 1. Let l be m(-3). Suppose 2*i - 6 = l. Is w(i) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c - 23. Let i be y(12). Solve -1 - i = 2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1449 and 1518.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**22\/(w**(2\/33)\/w)*w**(-6\/5)\/w**(-18) assuming w is positive.\nAnswer: w**(6557\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3297, -0.2, -0.5, 2\/33?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(2\/5))\/f)**(-1)\/((f\/f**1)\/f)**(-2) assuming f is positive.\nAnswer: f**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2355470106 - 2355469671.6110084. Let c = 434.4 - n. Let r = c + -0.011. Round r to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1903291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z - 423 + 176 - 379.\nAnswer: 7*z - 626","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, t: 1, l: 2}. Give prob of sequence lty.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2652 divided by 68\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*t - 10 = 0, -1 = 2*q - 6*q + t. Let l be (-3 + 1)*q*1. Solve y + 11 = 2*y - 3*h, -l*y + 2*h = -6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 14 = -5*z - 51, 5*z = 10. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, i: 4, k: 1, q: 1, d: 1, t: 4}. What is prob of picking 1 f, 1 k, and 1 d?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r**2 - r - 6. What is h(-3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -436?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(576)*1*5)\/((-2*sqrt(288))\/sqrt(9)).\nAnswer: -15*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -670, -1297, -1934, -2587, -3262?\n\"Answer: -x**3 + x**2 - 623*x - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4))\/(2\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 8 = 6*l. Let f be 3*l\/(-60)*-4. What is the second biggest value in 2, 0, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 27 = 5*x. Let j = x + 7. Suppose j*i + 2*i = 44. Calculate the highest common divisor of i and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-18) - (15\/54 - 1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88681 is divided by 148.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.025 + 40.025. Let d = 40.4 - f. Which is the second smallest value? (a) d (b) 7 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 24928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -27315 + -306?\nAnswer: -27622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 336*o + 27 - 126*o**4 + 45*o**4 + 6. Let z(p) = -5*p**4 + 21*p + 2. Let c(u) = -2*k(u) + 33*z(u). Find the second derivative of c(w) wrt w.\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29.7 - -31. Let k = m + -0.9. Let y = -11 + 10. Which is the smallest value? (a) 1 (b) y (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*c - 51*c**4 + 16*c - 45*c**2 - 46*c**4 - 1 + 48*c**2 + 99*c**4 as u*c**4 + z + y*c + j*c**2 + p*c**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -25249 - 241887.3\nAnswer: -267136.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2. Let z(d) = 13*d**2 + d. Determine z(x(r)).\nAnswer: 13*r**4 - r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 21879, -3 in decreasing order.\nAnswer: 21879, 24, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -6*g - 2*g**2 + g + 3*g. Let h(i) = -1015 + 1015 + 5*i - 2*i + 2*i**2. Let y(l) = -2*h(l) - 3*v(l). Let a(n) = -n**2. Calculate y(a(p)).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -24\/2215?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/1)\/(-2 + 0). Is 24 a factor of 717\/9 - 1\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.2, 0, 105.88 in increasing order.\nAnswer: -2, -0.2, 0, 105.88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/5 - (-1)\/5. Let v = 12.92 - 13.02. Which is the second biggest value? (a) v (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 13489*s - 21. Let b(r) = 2687*r - 4. Calculate -11*b(n) + 2*i(n).\nAnswer: -2579*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0.3, -1593, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(q**5 - 2*q**5 - q**5) + (-2*q**3 + 2*q**3 - 3*q**4)*(-q + 0*q + 3*q) + 0*q**5 + q**5 + 0*q**5 + (2 - 2 + q**4)*(3*q + 3*q - 5*q).\nAnswer: -8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**5 - 106*u**4 - 600*u**3 = 0.\nAnswer: -100, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 399.3 rounded to the nearest ten?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 2*z + 4. Suppose -17 + 51 = z*s. Let l = 65 - 34. What is the remainder when l is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -97 + 132. Let r = 37 - 18. What is the remainder when f is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 640 = o, 4*o = -5*s + 3*s + 256. Suppose -3*a + 4*t + s - 16 = 0, -3*a + 107 = t. What is the lowest common multiple of 30 and a?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-5))\/((-6)\/20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -13*d + 1462 - 1462. Let g(y) = -2*y**2. Calculate x(g(p)).\nAnswer: 26*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(800\/225) - (-126)\/(-196)\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572187210 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/15*(-3 + 0). Let g = -135 - 135. Let p = g - -271. Which is the closest to 1? (a) 4\/7 (b) p (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -0.02215.\nAnswer: 0.011075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kfazanbnnnkffnn. What is prob of sequence nz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 + (57 - (-1539)\/(-152)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h**3 - 2*h**2 - 4*h + 3. Let j be p(-3). What is the greatest common factor of j and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65516 and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1409205 - 221239. Suppose 43*p - 6258626 = -48*p + 102*p. Let h = p + s. What is h rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2.3 (b) 0.3 (c) 63 (d) 3\/8 (e) -21\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 4*a - 2. Let z(y) = 5*y - 2. What is -2*c(h) + 3*z(h)?\nAnswer: 2*h**2 + 7*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 738123*m + 8820685?\nAnswer: 738123","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5107 = -k + 4*k, 0 = 5*k - 2*c - 8519. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -652*l**5 - 2*l**4 - 10*l**3 - 6*l**2 + 2044*l - 2?\nAnswer: -39120*l**2 - 48*l - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 19 + 2)*(2*y + y**4 - 2*y) to a + l*y**4 + m*y + h*y**3 + z*y**2 and give l.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 1. Let g be f(-6). Let p(c) = 3*c**2 + 3*c - 8. List the prime factors of p(g).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of 0*h**3 - 1\/672*h**8 - 1\/420*h**7 + 0*h**4 + 0 + 1\/120*h**5 - 2*h**2 + 1\/240*h**6 + 0*h. Factor f(b).\nAnswer: -b**2*(b - 1)*(b + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82 + 15*j + 140 - 58.\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/144 and 17\/126.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2 + sqrt(1872)) - (sqrt(1872) - (sqrt(1872) + sqrt(1872)*4))*-4) + 0.\nAnswer: -144*sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8.2 (b) 0.003 (c) -9\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -77*f**3 - f**2 - 9*f + 47. Let l(o) = o + 1. Let t(m) = -18*l(m) - 2*n(m). Find the third derivative of t(s) wrt s.\nAnswer: 924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 147*s = 2550 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-561)\/(-66))\/(6\/12).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, n: 5}. Give prob of picking 2 t and 2 n.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -23*c**3 - 6*c**2 - 41*c - 60. Does 110 divide z(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -3 (b) 3\/4 (c) -0.6 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11207551, -11207552, -11207553?\n\"Answer: -j - 11207550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 7. Let x be (0 - 0)\/((-24)\/o). Suppose k = 2*y + y + 16, 3*k - 3 = x. Are y and -6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2309.334+-0.07512\nAnswer: 2309.25888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5*b - 41*b**2 + 40*b**2 - 14*b + 20. Calculate the remainder when z(-8) is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -27, 0, 4, 1 in descending order.\nAnswer: 4, 3, 1, 0, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7630.756 years?\nAnswer: 76.30756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67260347211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -1, -13 in decreasing order.\nAnswer: 26, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 42256.63 years?\nAnswer: 4225.663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-11 + (-5)\/35)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - w - 27 = 0. Let y be 2\/4*w\/6. Which is the second biggest value? (a) y (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71435*m**5 - 4*m**3 - 331816*m**2?\nAnswer: -4286100*m**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from 25.05.\nAnswer: 21.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (5 - -18) + -5\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11711 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -14) + -3 + (286 + -260 - (0 + 17)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l**3 + 12*l**2 + 5*l - 7. Let d(h) = -2*h**3 - 5*h**2 - 2*h + 3. Let c(t) = -7*d(t) - 3*i(t). Give c(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3191, 3822, 4449, 5072, 5691, 6306?\nAnswer: 6917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -3*n**4\/4 - 479573*n**3\/2 + 11190349*n**2\/4 - 7673457*n - 2877543 = 0?\nAnswer: -319727, -1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1049148818.\nAnswer: 2, 23, 22807583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) -1\/3 (c) -0.02 (d) 307.03 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.46743ml to litres.\nAnswer: 0.04746743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85 - 85 + 18*u**2 to the form z*u**2 + o*u + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 5*i - 4. Let u be f(3). Let j = u - 3. Let o(s) be the second derivative of -11*s**4\/12 + s**3\/3 + s**2\/2 - 21*s. Determine o(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 6\/17, -3, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47214448 divided by -5901806.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 11:08 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 + 0.5. Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u + 12. Let q be g(-10). Find the first derivative of -20 + 42*l**4 - 28*l**q + 28*l**2 + 0*l**4 wrt l.\nAnswer: 168*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000 + -10010111000?\nAnswer: -10011010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -127388100 or -127388101?\nAnswer: -127388101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32609859?\nAnswer: 3, 17, 193, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, -93, -385, -947, -1869, -3241, -5153, -7695?\nAnswer: -10957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(-4)\/3 + 15\/3. Let n(o) = 16 + 7*o + 11 + v - 38. Let m(f) = -15*f + 5. Determine -4*m(j) - 9*n(j).\nAnswer: -3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -s - 71, 3*s - 4*f + 136 = -1. Let c be 10\/(-35) + s\/(-7). Suppose 4*q - 25 - c = -y, -3*q - 3*y + 33 = 0. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3104669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119, 327, 721, 1307, 2091, 3079?\nAnswer: 4277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 10 + (9 - 21).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*a**2 - 19*a**2 + 8*a**2 as c*a**2 + r*a + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*z + 12 = -28*z. Let y be 2 - (14 + z - 2\/7). Let r = -12.3 + 12. Which is the closest to y? (a) -2\/3 (b) r (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -206325, -206323, -206321, -206319?\nAnswer: -206317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 2*w**2 + 5*w + 4. Let v be o(-3). Let a be (1\/(-9))\/(8\/104) - -1. What is the biggest value in 1\/3, v, a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**2\/3 + 29708*p\/3 - 118864\/3 = 0.\nAnswer: -14858, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.17 + -10.17. Let g = i + 9. Which is the closest to -2\/3? (a) g (b) 8 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.1396864mg?\nAnswer: 0.0001396864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 322*u**4*w - 2*u**2*w - 722*u*w + 2*w + 2262471 wrt u.\nAnswer: 1288*u**3*w - 4*u*w - 722*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 6 = -2*h. Let x be ((-2)\/h)\/((-4)\/(-60)). Suppose 44 = -w + x*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 21 + 3. Solve 2*z = -z + u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 285036 and 6?\nAnswer: 285036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3954 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.056 - 56.056. Let k = -11 - -7.8. Let w = k - 0.8. What is the third biggest value in p, w, -4\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -11*i + 2 - 6 - 2. Let f(d) = 12*d + 7. Suppose -20 = 2039*r - 2043*r, 0 = -9*v - 3*r + 60. What is v*f(z) + 6*y(z)?\nAnswer: -6*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -134, -137, -126, -95, -38, 51, 178, 349?\n\"Answer: d**3 + d**2 - 13*d - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, s: 4, k: 8, y: 1, g: 2}. Give prob of sequence kkdg.\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -644*j**3 + 20600*j**2 + 256*j.\nAnswer: -4*j*(j - 32)*(161*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*x = 0. Suppose k = -x*k + 2. Suppose y = -3*m + 11, 2*m + 2*y - 7*y + 21 = 0. Solve 2 + k = m*l, l = -a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 129 and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*x - 1172 + 593 - 917 = 0. Let z(m) = 5*m - 7. Let w(o) = -14*o + 20. Determine x*z(n) - 6*w(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -1, 156.\nAnswer: -28, -1, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1440 - 2878 - 2253*x + 1439 to b*x + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.5 - 3.3. Let z be (-6)\/(-2) - (-12 - -12). Let n be 2\/z*(-3)\/6. What is the nearest to n in c, -4, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 242, 236, 230?\n\"Answer: -6*k + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 3*d**2 + 6*d - 2. Suppose o - 9 = -5. Determine l(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.5 + -0.5. Which is the closest to -6? (a) -0.5 (b) 0.5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbq when three letters picked without replacement from aqqqqabbaqaqqqqqqb?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -1440877797*c. Let d(i) = i**2. Give o(d(j)).\nAnswer: -1440877797*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-2)*1*-2. Suppose -24 - 3 = -3*y. Let n(h) = -h + 12. Let g be n(y). Which is the third smallest value? (a) g (b) 0.4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*y**2 - 53*y**2 - 80*y**2.\nAnswer: -34*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**4\/8 - k**2. Suppose -160*v = -163*v + 237. Let q(l) = -v*l + 22*l + 49*l. Give a(q(x)).\nAnswer: -24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -64, -677, -2366, -5653, -11060, -19109, -30322, -45221?\n\"Answer: -87*k**3 - 16*k**2 + 44*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z - 10. Determine u(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 109696751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d + 40. Give j(22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1728, 3461, 5208, 6975, 8768, 10593, 12456?\nAnswer: 14363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {g: 19, c: 1}?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 17*h + 33, t + 63373*h + 7 = 63377*h for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -6, -0.06 in increasing order.\nAnswer: -14, -6, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5498617 + -99049595\/18. Let c = 24280\/9 + i. Let k = 1471 + c. Find the common denominator of k and 39\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 0*p**2 + 0*p + 2\/3*p**3 - 2. Let n(h) = 2*h - 3 + 3. What is n(f(u))?\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -63*v + 227. Give z(4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(-10)*10\/(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9, -25, 2, 52 in descending order.\nAnswer: 52, 2, -4, -9, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.503 and -0.1465.\nAnswer: -1.3921895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 861 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 13*p = -8. Let d be (14\/4)\/1*-2. Put 4, p, d in decreasing order.\nAnswer: 4, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269 = -v + 4*l, -5*l = 2*v + 526 - 14. Let w = v - -524. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a milligram in micrograms?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*k - 151 = -f, -4*k - 299 = -3*f. Let c = 229\/3 + k. Let i = 1.19 + 3.81. What is the nearest to 0.1 in 0, i, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/sqrt(1210))\/(-3*(sqrt(2) + sqrt(2) + sqrt(12)\/sqrt(6))).\nAnswer: -sqrt(11)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000004930572 to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 40*y + 39*y + 63 - 65*y. Let r be p(-5). Which is the third smallest value? (a) 2\/19 (b) r (c) 5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*x**3 + 11*x**3 + 12*x**3)*(-2 + 0 - 1)*(-3 + 4 + x + 0*x**2 - x**2) - 8*x**5 + 7*x**5 + 11*x**5.\nAnswer: 55*x**5 - 45*x**4 - 45*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 0. Let d(f) = -4*f**3 - 2*f**2 + f + 5. Let o(n) = -1. Let z(w) = -d(w) - 5*o(w). Calculate z(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-343501*o + 343501*o + 2132*o**3)*(0 + 5 - 3) to f + w*o + u*o**2 + h*o**3 and give h.\nAnswer: 4264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26475960 by -13237980.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*d + 29 + 147 = 0. Factor -2\/7 - d*t - 14*t**2.\nAnswer: -2*(7*t + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 36454.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 k when four letters picked without replacement from {k: 16, q: 2}?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -39 + 24 + -23 + -1\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**13\/h)\/h)**(6\/5)*(((h*h\/((h*h**(1\/12)*h*h)\/h*h*h)*h)\/h*h)\/h)\/(h**(-15)*h) assuming h is positive.\nAnswer: h**(1507\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 + -10?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*r + c + 23485, -c - 23495 = -4*r. Suppose 6*d - 179 + 167 = 0. Suppose r + 2725 = -d*f. What is f rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 6586, 0.1 in decreasing order.\nAnswer: 6586, 4, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 480*p + 1279. Let t be f(-4). Suppose 4*c - 26 = c + 5*u, 0 = 2*u + 8. Is ((-6)\/3)\/(c\/t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2. Let k(j) = -58*j**2. What is k(p(r))?\nAnswer: -232*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -100 + 105. Suppose -4*i + 4*j - 5*j + 791 = 0, -2*i = c*j - 373. List the prime factors of i.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2513 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (223 - 796 + 2*m - 856)*(2 + 5*m - 2).\nAnswer: 10*m**2 - 7145*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-72))\/(((-3)\/(12\/1))\/(-1)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*a - 11465 = 44660. Calculate the remainder when a is divided by 108.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -678140, -1356344, -2034552, -2712764, -3390980, -4069200, -4747424?\nAnswer: -5425652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 346.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 16 = -5*z + 4*j, -5*j + 1 = -z. What is the common denominator of 46\/(40\/(-6)*-3) and (-691)\/154 + (-4)\/z?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29938 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 a be ((-18)\/6)\/(3\/10). Let r = a + 7. Is (-212)\/(-6) + 1\/r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*q**3\/8 - 3991581*q**2\/4 - 2661063*q\/2 - 443511 = 0. What is q?\nAnswer: -2\/3, 295674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0098223574 rounded to five dps?\nAnswer: 0.00982","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((1456\/490)\/(-26))\/(2\/7)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 > -312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-528)\/(-77)*(0 + (-70)\/2). Let c = t + 681. Is c a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4917, -19463, -43709, -77655?\n\"Answer: -4850*q**2 + 4*q - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**(-5)))\/c**2)\/(c**(1\/2))**(5\/4)*(c**(4\/3)\/c*c\/(((c*(c\/(c**(-2)\/c))\/c*c)\/c)\/c)*c)**(2\/143) assuming c is positive.\nAnswer: c**(-26201\/3432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.28 + 1.68. Which is the closest to -1? (a) 0.5 (b) y (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/55800 and 17\/72.\nAnswer: 55800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1014 (b) 1 (c) 2 (d) -0.492\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k - 2*k + 2*k + (-3 + 2 + 0)*(-4 - 2*k + 4) + 2*k - 2 - 4*k + 4*k.\nAnswer: 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -5. Suppose -n*w - 8 = -3*w. What is the remainder when 29 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -22*q**3 - 3*q + 5. Suppose -5*w = 71*d - 66*d + 45, 5*w + 20 = 0. Let j(g) = -45*g**3 - 5*g + 9. What is d*u(i) + 3*j(i)?\nAnswer: -25*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 938499.9 litres in millilitres?\nAnswer: 938499900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -26, -46, -64, -74, -70, -46, 4?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143051141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 466 - 295. Let x = z + -169. What is the closest to x in -0.5, -4, 5\/6, 0.4?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1309, -1912, -2519, -3130?\nAnswer: -3745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*y + 62*y + 8*w - 8, 2 = 2*w for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 1\/9, -17, 4\/7, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -263, -454, -627, -788, -943?\n\"Answer: -n**3 + 15*n**2 - 229*n - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2 + 0*i**2 - i**2 + 3. Let b be m(4). Let w = -8 - b. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-280)\/(-6))\/(((-8450)\/(-195))\/26).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*j + 4*p - 2, -4*j + 2*p + 20 = 0. Suppose -11 = -j*s + 38. Sort 5, s, -4.\nAnswer: -4, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1120349\/27 + -41492. Let t = -671707\/39 - -17222. Calculate the common denominator of c and t.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26796 and 110.\nAnswer: 133980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15672 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -29529 (base 16) to base 2\nAnswer: -101001010100101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 4*r + 172, 3*r + 3640 - 3519 = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1148 (base 11) to base 5.\nAnswer: -22004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360*i + 300 = -340*i. Which is the second biggest value? (a) i (b) -0.4 (c) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 17.44 and 0.1?\nAnswer: 17.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 9:52 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of d**4\/12 + d**3 + 2*d**2 + 79*d. Let l(m) = -4*m + 2. Let q be l(2). Let y be t(q). Solve 3*x - 2*x = -y for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2037?\nAnswer: 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -3*v**4\/4 + 2*v. Let q(z) = 8*z**2 + 6*z + 6. Let b(l) = l**2 + l + 1. Let k(s) = -6*b(s) + q(s). Give k(a(d)).\nAnswer: 162*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8255 + 6903 = -13*u. What is the greatest common factor of 39 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x + 13*x + 9 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of h**3\/3 + h**2 - 2*h + 6. What is the least common multiple of 14 and b(6)?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1145 by 3.\nAnswer: -1145\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 10, 6, 10, 28, 66, 130, 226?\nAnswer: 360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 38 + 2*i + 17*i**2 - 2*i - 18*i**2 + i. Let f be d(7). Let w(h) = -3*h - 13. Let v(z) = -z - 6. Determine f*w(u) + 9*v(u).\nAnswer: 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23658 + -23667. Put h, 33, -1\/3, 3, -4 in decreasing order.\nAnswer: 33, 3, -1\/3, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 20. Let v(l) = 2*l**2 - 2*l**2 + 13*l + o + 3*l**2 + 13. What is the hundreds digit of v(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + a - 3)*(-a**3 + 2*a - 2*a) + 0*a**4 - a**4 + 5*a**4 + (-93*a + 1422 - 1422)*(0 + 2*a**3 + 0).\nAnswer: -183*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 9) in base 13?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m**3 + 465*m**2 + 138. Determine x(155).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1030269\/7 or -147181?\nAnswer: -1030269\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -16*z + 6*z**2 + 35*z + 32 - 71*z = 0?\nAnswer: 2\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d = 13*d - 36. Find the second derivative of -d*t + 49*t**4 - 29*t + 3*t wrt t.\nAnswer: 588*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12708 by 1412.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21.7 + -1.8. Let d = q - 21.9. What is the nearest to d in -4\/3, 0, 0.3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 22 = -5*b + 3*b, 0 = -2*b + 4*l + 2. Let g = 27 - b. Let w(u) = u**3 + u**2 + 72. Let v be w(0). What is the greatest common factor of g and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * 55.88.\nAnswer: -614.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7223 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*t**4\/7 - 172*t**3 - 230*t**2\/7 + 4300*t + 12000\/7 = 0. Calculate t.\nAnswer: -120, -5, -2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 102, -2\/19, 2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7)\/(g*g\/g**(-1\/3)))**(-7) assuming g is positive.\nAnswer: g**(196\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t - z + 5*z - 12, 6 = -3*t + 2*z for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 10:52 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2496382 weeks in minutes?\nAnswer: 2516.353056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 235 - 236. Let l(h) = -h + 9. Suppose 5*o = -4*s + 33, 2*s - 6*s - 7 = -3*o. Let m be l(o). Sort m, 1, n.\nAnswer: n, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (sqrt(8)*-3 - sqrt(2)) - sqrt(2))**2*-1 + (3*sqrt(96)\/sqrt(4))\/sqrt(12).\nAnswer: -98 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000108192645 to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/2 - 40184\/24940*(-360)\/(-96) and -73\/22?\nAnswer: 27434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -6\/7 (c) -1 (d) -608\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-6) + 8\/24 - 15?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -4 (c) 0.1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3232382110 to the nearest 100000.\nAnswer: -3232400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 - -0.5. Let m = -0.1 + o. Suppose -r = -4*r. Which is the third smallest value? (a) m (b) 4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/500 - 0)\/(((-3)\/(-4))\/(285\/228)).\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**4 + 37*n - 36*n + 15*n**4 + n**3 + (3*n**2 - 4*n**2 - n**2)*(2*n**2 - 4*n + 4*n) + 1 - 1 - 2*n**4.\nAnswer: 12*n**4 + n**3 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2634 + 1527*r**4 + r + 1370*r**4 - 3976*r**4 + 1824*r**4 + 1291 wrt r.\nAnswer: 2980*r**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -688?\nAnswer: -688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/10*(139 + -4). What are the prime factors of (1 + (-178 - 1))*(-27)\/h?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 5:54 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 0.402.\nAnswer: 5.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 5*j**2 + 25*j + 10. Give x(10).\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (1 + 1) - (-19 + 22 + -1 + -51).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, -19, -1\/3, 2\/11, -0.1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/36 + (-13)\/(-4). Suppose -75 = -n*o - 2*o. Let p(t) = 11*t - o*t - 1 + 1. Let v(x) = x. Calculate p(v(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4.7 + -141\nAnswer: -145.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4720225041 - -21088.2?\nAnswer: 4720246129.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 6*q**2 + 14*q - 10. Suppose 0 = -3*x - 3*m + 18, -3*x + 0*m = -4*m - 18. What are the prime factors of v(x)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 z when four letters picked without replacement from {z: 4, v: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13\/495 + 8797\/1980. What is the common denominator of 27\/(-7)*(-10)\/12 and m?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-8) + (-65)\/(-20). Suppose b + 23 = -5*i, -2*b = j*i - 0*i + 11. Find the third derivative of 3*x**6 + 5*x**2 - 11*x**b + 8*x**2 wrt x.\nAnswer: 360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/27 - -103\/135. Factor -2*k**4 - m*k**5 + 0 + 2\/5*k + 2\/5*k**2 - 6\/5*k**3.\nAnswer: -2*k*(k + 1)**3*(2*k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (0 - 2\/1). Let i = o - -1. Solve -i = 2*m + 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 9464*q + 66296. What is m(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 125715314\/6 - (-2)\/3. Let s = q + -37652553. What is s rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -1666*d + 3485. List the prime factors of i(-12).\nAnswer: 17, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 + 72949281718\nAnswer: 72949281718.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42*s**3\/5 + 1143*s**2 + 408*s\/5.\nAnswer: 3*s*(s + 136)*(14*s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -5087.68024 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 945 - 948. What is the second smallest value in -2\/7, -0.6, -1\/122, g?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**2 - 2*j**2 + j**4 + (3*j**2 - 2*j**2 - 3*j**2)*(-4*j**2 + 0*j**2 + 6*j**2) + (-6*j**2 + 0*j + 0*j)*(3*j**2 + 0*j**2 - 2*j**2).\nAnswer: -9*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) -0.5 (c) -28.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 6*k + 2. Let i be w(6). Let z(l) = -l + 3. Let t be z(i). Let f(d) = -d + 2. Let x be f(t). Let q(y) = -7*y**2 + y - 1. What is q(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of 0*w - 1\/12*w**4 + 0 + 1\/6*w**3 + 7*w**2. Let n(r) = 5*r - 2. Suppose 6*q - 14 = 64. Determine q*h(o) + 6*n(o).\nAnswer: 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 292 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3 - a - 6 - 3 + 2. Give g(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 36, 101, 190, 297, 416, 541?\nAnswer: 666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 9*a**2 - 7*a - 4. Let s(q) = 17*q**2 - 14*q - 7. Let m(r) = -7*l(r) + 4*s(r). Let k(b) = -3*b**2 + 4*b. What is 7*k(c) + 4*m(c)?\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*s**2\/4 + 4890*s + 6519\/4.\nAnswer: 3*(s + 2173)*(3*s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 103379567 and 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -7, 10, -2, 8 in descending order.\nAnswer: 10, 8, 5, 4, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 624342, 625541, 626740?\n\"Answer: 1199*p + 623143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 797514, 1595010, 2392506, 3190002, 3987498, 4784994?\nAnswer: 5582490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -c**7\/5040 - c**6\/360 - 13*c**5\/60 + 8*c**2. Let u(x) be the third derivative of m(x). Calculate u(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 21 - 17 - i - 3*i - 4*i**2 + i**3 - 3*i. Let x(r) = -r**2 - r + 1. Let f be x(1). Let t = f + 6. What is a(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/14745 and -127\/21540.\nAnswer: 21173820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -550 - 654?\nAnswer: -1424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -146, 0, 3, -7 in decreasing order.\nAnswer: 3, 0, -7, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 37 = 4*j, 0 = -0*j + 3*j - t - 29. Let c = -37 - -42. Suppose c*q - 24 + 4 = 0. What is the lowest common multiple of q and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35.733 - -32.733. Put 0.3, j, 3602 in increasing order.\nAnswer: j, 0.3, 3602","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 227903032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 30 = -5*r, 14 = 2*r - 3*g + g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 - -35. Let u be (-6)\/(-3) - (k + 2 + -1). Solve 1 = 4*l + 5*c, -5 = -l - 2*c - u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 5*w - 2. Let t be v(4). Suppose 0 = -3*h, 0 = -a - t*a + 5*h + 135. Calculate the remainder when a is divided by (-10)\/2 - 6\/(-12)*58.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a + 14*a - 33*a + 8*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 0, 40, 168, 432, 880, 1560, 2520, 3808?\n\"Answer: 8*a**3 - 4*a**2 - 4*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8101.\nAnswer: 8101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -100110101111 (base 2) to base 15\nAnswer: -b04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 34*o + 26*o - 99*o + 37*o.\nAnswer: -2*o - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 - 6. Let z = 46 - b. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4630461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -725761 (base 8) in base 10?\nAnswer: -240625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -422 + 419 + (1 - 0) + 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -59 + 59 - j as s + b*j and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 5:10 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1643 and 2.0711955.\nAnswer: 1645.0711955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2 + 2 + 638*d - 1288*d + 649*d. Let x(r) = r**2 - 6*r - 11. Let g be x(8). Let i = g - 9. What is k(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*z - 2. Let i be 34 + (-1)\/(2\/z). What is the greatest common divisor of 80 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -6*u - 25. Let h be r(-5). Solve 15 = h*c - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 565*v**3 - 4*v**2 + 12*v - 4. Let r(m) = 7910*m**3 - 55*m**2 + 165*m - 55. Give 4*r(s) - 55*t(s).\nAnswer: 565*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y**3 + 4*y - 4*y)*(-2215*y - 135804 + 135804) as c*y + w*y**3 + a*y**2 + l + s*y**4 and give s.\nAnswer: -4430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5851165 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**2 + 8*d + 9. Let a be y(3). Solve -i + 2*u + 3 = 0, 3*i - 7*u = -a*u + 14 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4358400 to the power of 1\/3, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26.377 - 0.5382.\nAnswer: -26.9152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -7. List the prime factors of (4\/(-6))\/(h\/(-2124)).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxx. Give prob of sequence xxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 424 - 435. Sort -3, y, -0.3, 0 in decreasing order.\nAnswer: 0, -0.3, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 - -22044?\nAnswer: 22022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3536 or 3535?\nAnswer: 3535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/192 and -97\/12?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 22308\/154 - 37674\/3822?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2395, -4793, -7197, -9607, -12023, -14445?\nAnswer: -16873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from jooodjddddbt?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0092576863 to 6 dps.\nAnswer: -0.009258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 8*l**2 - 29*l - 717. Calculate v(-11).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 413 = 408 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87081?\nAnswer: 3, 29027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u = 117, -26 = -13*c + 3017*u - 3015*u for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1806577?\nAnswer: 19, 95083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 16484 = 16525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 21, 0, -0.378, 5, 88, -4, 1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 113253075?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g**2 - 7*g - 14. Let j(v) = -2 - 4*v + 2*v + v**2 - 2 + 0*v**2. Let c(y) = -7*j(y) + 2*w(y). Let t(a) = 9*a**2. Determine t(c(i)).\nAnswer: 9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*22\/77?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 389602, 779134, 1168666, 1558198, 1947730, 2337262?\nAnswer: 2726794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32\/703 + 1661\/9842. Suppose -3*q + 11 + 1 = 0. Let s be (4 + -2)*q\/20. Which is bigger: y or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -566 = -65*h - 176 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 - 12. Suppose -1627 + 1693 = 3*x. Calculate the lowest common multiple of c and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62537311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**5\/15 + 175*a**4\/6 + 116*a**3 + 206*a**2 + 2. Find v, given that b(v) = 0.\nAnswer: -174, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + (sqrt(6) - (sqrt(384)*-1 - sqrt(384))) + 2*sqrt(150))\/(6*(sqrt(128) - ((sqrt(128) - 2*sqrt(128)) + sqrt(128))) - sqrt(128)).\nAnswer: 7*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q**2 - 3*q**2 + 4*q**2.\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1 + -359)*(-1056)\/128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 39*t**2 - 3*t. Let o(f) = 13*f. Determine g(o(a)).\nAnswer: 6591*a**2 - 39*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7 times -1.9\nAnswer: 13.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 60763061143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -23*n + 433. What is the remainder when n is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*l = -10*l + 140 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 0*j - 27 = -3*j, -4*o + 20 = 2*j. Suppose c + b + 80 = o*c, 4*b - 226 = -5*c. Calculate the remainder when 164 is divided by c.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 31304160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391096 is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 99d - 1?\nAnswer: 99c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/((3\/(-1))\/3). Let v = y - -17. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h**(1\/25)\/h)*h)**(-4\/11)\/((h**10\/h*h)\/h*((h\/h**(4\/5)*h)\/h*h)\/h) assuming h is positive.\nAnswer: h**(-266\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + 0*f**2 - 4*f**2)*(0 - 2*f + 0) + (15 - 15 - 9*f)*(3*f**2 - 6*f**2 + 2*f**2).\nAnswer: 17*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/4332 and -109\/394212.\nAnswer: 394212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122310, -122306, -122300, -122292, -122282, -122270?\nAnswer: -122256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 31*r**2 - 219*r - 190. Determine z(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 13*l**2 + 6*l + 12. Let w be n(-12). Suppose 15*y - 2376 = w. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/(-693)*-3)\/(6\/(-9)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 374 = -3*r - 2143. Is r\/(3 - (3 - -1)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17.134 + -5.134. Which is the nearest to 4? (a) 3\/8 (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.52 - 7.52. Let l = -6.89 + -0.11. Let s = -11 - l. Which is the closest to f? (a) s (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 329432978 to the nearest integer?\nAnswer: 18150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - 0 - (12 - -14)) + (-6 - -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -2*a - 24, -1094 = -3*a - a - 21*q - 968 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m**3 + 2*m**2 - 2*m. Let x(g) be the third derivative of g**6\/120 + g**5\/60 - g**4\/24 - 131*g**2. Calculate -h(n) + x(n).\nAnswer: 5*n**3 - n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61.8 - -62. Let v = 22.39 + -22. Let t = v + 0.01. Which is the third biggest value? (a) y (b) -1\/2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**3 + 272*g**3 - 34*g**3 + 3.\nAnswer: 238*g**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3264*h = -9290*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*a + 141*a + 43 = -41 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/6 (b) 142.4 (c) -2\/3 (d) 2\/13 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/7 - (-60)\/(-14). What is the tens digit of (1\/1)\/(n\/(-40))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -171 divided by 1\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand a - 1 - 3 + 2 + (-4 - 1 + 6)*(a + 3 - 3).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 60*y = 62*y - 39136, -5*y = -5*m + 48965. Does 17 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 465124189?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 110*m**3*o - 3302*m**2*o**3 - 4*m**2*o + 2*m*o**3 + 2*m*o**2 - 8*m*o - 3*m - 4922 wrt m?\nAnswer: 660*m*o - 6604*o**3 - 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d + 73. Let z(n) = n**3 - 3*n**2 - 2*n - 12. Let s be z(5). Let t be f(s). Solve -2*j = 4*q - j - t, -2*q - 5*j = -13 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 1. Let y(c) = -c**3 + 3*c**2 + 28*c + 3. Let d be y(-4). Solve -z = -i + d for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4199979 and -17.\nAnswer: 71399643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3557960 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143769?\nAnswer: 3, 17, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.8 - 4. Let v = 78.8 - 73. Let q = -6 + v. Is q equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3 + 1*sqrt(1280) + sqrt(1280) + -3)*1.\nAnswer: -4 + 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2 + 5*(-1*sqrt(275)*-3 + (sqrt(275) - (sqrt(275) + -6*(sqrt(275)*3 - sqrt(275)))))**2)*-4.\nAnswer: -1237493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2872 = 3*t + 5*p, 0 = 3*t + p - 2*p - 2878. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1199250253?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16152361\/200 - 80762. Find the common denominator of -103\/108 and y.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w**(2\/15)*w)*w\/(w**(3\/13)\/w)*w**(-2\/9)\/(w\/(w*w**(-1\/3))) assuming w is positive.\nAnswer: w**(632\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5885335042 to the power of 1\/5, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5007, -10015, -15017, -20013, -25003, -29987?\nAnswer: -34965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 0 - (-4)\/(-1). Let y = -7 - q. Suppose -2 = -2*j + 3*j. Sort -1, y, j.\nAnswer: y, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.99 + 0.39. Is 0 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s**3\/s)\/s))**(-8\/9))**(2\/77)*(s**(-1\/4))**(-37)*(s**(1\/3))**(1\/46) assuming s is positive.\nAnswer: s**(2555\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3603 + -3604. Which is the fourth biggest value? (a) 20\/33 (b) -6 (c) j (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**2 + 1. Suppose -53 - 76 = -3*l. Let g = l - 28. What is the smallest common multiple of w(-1) and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 716?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izj when three letters picked without replacement from {z: 2, g: 2, i: 1, j: 6, p: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/14*5 - 2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -1\/48 (c) 3 (d) -82 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/2)\/(b\/((b**(2\/19)\/b)\/b)))\/((b**(-3\/11)*b)\/(b**(2\/7)*b)))**(1\/4) assuming b is positive.\nAnswer: b**(-8299\/11704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 945.\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x - 3 + 21 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 7*p + 7. Determine b(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbiibiwbbwiibwi. What is prob of picking 1 b and 1 i?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 2*z - 7 + 12, z = -s for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174809*d + 3922 = -174703*d for d.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 110\/94733 or 0?\nAnswer: 110\/94733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 30184*b - 30185*b - 4*p, 0 = 4*b - 2*p + 34 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 529*v + 108 = 530*v. Suppose -5*n = -4*o - v, 9 = 2*o + 3. Solve -n = -3*g - 30 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 17 + -6 - 32) + 24\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 573044096?\nAnswer: 2, 4476907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of h**7\/315 + h**6\/45 + 2*h**5\/45 + 5*h**2\/2 - 5*h. Let c(i) be the first derivative of z(i). Determine t so that c(t) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-5)\/k*k*k**0\/k)\/(k**(-4)\/k)**46 assuming k is positive.\nAnswer: k**225","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t + 151. Let q be i(0). Suppose -8*g + 948 = 4*g. Suppose -118 - g = -4*h - 3*a, -3*h + q = -a. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**3 - 3*b**3 + 2 - 23*b**2 + b**3 - 13*b**2 + 26*b**2 as j*b**3 + s*b**2 + x + w*b and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 7. Suppose -5*d + 2*r = -23666 - 16282, -23967 = -3*d + 3*r. Let j(l) = -4*l - 7989*l**3 - l + d*l**3 + 3 - 4*l**2. Calculate j(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*127\nAnswer: -63.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237193 is divided by 13900.\nAnswer: 893","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 9*g + 6. Let a be p(-7). Let m be (-1)\/2 + (-4)\/a. Suppose 2*h = -m + 14. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.56 * -16.23\nAnswer: -25.3188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 11. Suppose 8 = -d*t + 83. Calculate the greatest common divisor of 275 and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**14)\/(y\/(y**(2\/63)\/y*y)))**(2\/67) assuming y is positive.\nAnswer: y**(-1760\/4221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*i + 270, 49 = i + 3*x - 15. Let c be (-1)\/(-5) - 34\/i. Is -0.08 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 205*d + 2667. Let b be h(-13). What is x in 6 + 0*x - 26\/3*x**b - 8\/3*x**3 = 0?\nAnswer: -3, -1, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -242 in -5, 2\/5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25908 divided by 6?\nAnswer: 4318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 37 + 28 = 0. Let j(b) = b**2 - 13*b - 4. Let t be j(f). Let m be (222\/(-10) + 3\/15)*t. What is m rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 2\/7 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9067789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/6)\/((-11)\/33).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 13. Solve -4*q = -k*y - 19, 5*q - 18 = q + 2*y for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1172432.2 to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8310479?\nAnswer: 67, 71, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10176 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: Solve -3*b - 15 = 39*o - 42*o, 16 = 3*o - 4*b for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2 + 5*b. Let l be r(-2). Suppose 57 = 3*x - l*g, 0*x + x + 3*g - 30 = 0. Which is smaller: 22 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2662 and 28556?\nAnswer: 314116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*a + 297 = -2*a, -a + 198 = -2*u. Let x = 78 - u. Calculate the remainder when x is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/2)\/l*l**(-18)*l*(l\/l**(-4\/7))**(-17) assuming l is positive.\nAnswer: l**(-633\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.378892334 rounded to two decimal places?\nAnswer: -1.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -0.6. Suppose 4*z + 2 = -5*w - 21, -3*w = -3*z + 30. Let m be ((-10)\/40)\/(w\/(-4)). Which is the third smallest value? (a) 0.4 (b) m (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151006 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, j: 1, f: 1}. What is prob of picking 1 f and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 10:27 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 71705 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -796d + -3?\nAnswer: -7971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -d**7\/210 + d**4\/12 - 4*d**3\/3 - 4. Let i(a) be the third derivative of l(a). What is the first derivative of i(q) wrt q?\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7578 - 11392. Round r to the nearest 100.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/9 + 634*b**2\/9.\nAnswer: 2*b**2*(b + 317)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o + 3. Let g be c(-3). Sort -3, -1, 2, g in decreasing order.\nAnswer: g, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k - 144 = -28*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -336264, -672524, -1008784, -1345044, -1681304?\n\"Answer: -336260*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 12*c**2 - 5*c - 1. Let f(m) = 3*m**3 + 37*m**2 + 15*m + 4. Let w(n) = -2*f(n) - 7*k(n). Is w(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55128 is divided by 2623.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q + 2100 = 41*q. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 104, -11.9, -0.1, 16?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 123 + 5 = 0. Let m be 25\/2*o\/20. What is the highest common divisor of m and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -1, -6 in ascending order.\nAnswer: -6, -1, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*k - 6*k. Suppose -k*h = -11 - 19. Let d be ((-2)\/12)\/((-1)\/28). Which is bigger: h or d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003434852 to six decimal places.\nAnswer: 0.000343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 - 10\/((-63360)\/1668) and -5\/33.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26*4.76.\nAnswer: -123.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 87395\/(-456043) + 2 + 26\/(-14).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1543 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 133774415?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 2\/13 (c) -5 (d) -15 (e) -27816\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2*39*30\/(-45)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0941 times -0.1833\nAnswer: -0.01724853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/76184 and 25\/2.\nAnswer: 76184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from bbbbffbbbb?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1443?\nAnswer: 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35513 - 35517.1778. What is p rounded to one decimal place?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 - 0. Let g = -7 + 7.5. Which is the nearest to x? (a) -0.3 (b) -1\/3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.066 - -0.266. Suppose -11 = -5*t - 0*t + 4*u, 0 = 5*t - 2*u - 3. Let h = -2.5 - -0.5. Which is the nearest to m? (a) h (b) t (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 7*x - 29. Let i(k) = k**2 + 4*k. Let a be i(-6). What is the tens digit of s(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 26*x + 288. Let d(i) = -15*i - 144. Determine -7*d(m) - 4*g(m).\nAnswer: m - 144","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -24. Suppose 2*g - 3*n + 19 = 0, -2*g + 4*n - 7 - h = 0. Round g to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 + 308*j + 312.\nAnswer: -4*(j - 78)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1007 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138009846 and 1482?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25738070 divided by 23.\nAnswer: 25738070\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.073 times -170\nAnswer: -12.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -25014a (base 13) to base 6\nAnswer: -30552034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 5*o + 10. Let l be t(-6). Find the second derivative of -l*i - 3*i - 8*i**5 + 41*i wrt i.\nAnswer: -160*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5272, -83, -4, -24.\nAnswer: -5272, -83, -24, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 5 - 49*-40 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 65 and 55.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 286176 + 0.2?\nAnswer: 286176.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1670416*k**4 + 573*k**2 + 1927.\nAnswer: 40089984*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ob when two letters picked without replacement from {b: 1, s: 6, o: 8, c: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/18 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 80, 15, 652, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 l when two letters picked without replacement from llzurgwzg.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -7471*i - 44822. Let z be d(-6). Suppose -4*b = 3*c - 5, c - 4 = -2*c - 5*b. Solve -z*r + 5*r = -3*f - 9, -2*r = c*f + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23305490 and 186?\nAnswer: 69916470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/18 - (-43670)\/90. Let o = s - 280. Is o a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 212, 893, 1882, 3047, 4256, 5377, 6278, 6827?\nAnswer: 6892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7280 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 20, -3*t - 6 = -u - 15. Suppose u*l + 173 = 683. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 2. Let i(q) = 1. Let v(y) = y + 6. Let s be v(-8). Give s*g(p) - 2*i(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r**3 - 8*r**2 + 8*r**2)*(3060 - 3033 + 8645 + 5108 + 7402 - 156) as o*r + a*r**3 + y*r**2 + s and give a.\nAnswer: -42052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 70379447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 8535*x - 2159369. Determine i(253).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/33 - (-19)\/(3135\/20430). Let l be 1*-13 + (-3)\/3. What is the units digit of x\/(6*(-2 - l\/6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15969 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 39237983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2564402635 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**10\/226800 + c**9\/56700 - c**7\/9450 - c**6\/5400 - c**4\/6 + 8*c**2. Let n(h) be the second derivative of f(h). Factor n(p).\nAnswer: 2*p*(p - 1)*(p + 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6182963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5330\/(-2132)*(16\/65)\/(-4)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.5666092 millennia?\nAnswer: 6799.3104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence md when two letters picked without replacement from dzxzzmbzm.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0*j = 3*j - 25, -3*a = -3*j + 9. Suppose a*v = -0*v + 20. Suppose -6*q + 4*q = 10. Put q, 5, v in ascending order.\nAnswer: q, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/30)\/(108\/(-180))*342\/19\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -435549\/5 or -87110?\nAnswer: -87110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3802993?\nAnswer: 3802993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(7\/8)\/x*x**(-4\/3) assuming x is positive.\nAnswer: x**(-11\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 8 = 6. Suppose k = 4*q - 9. Solve 5*b = -16 - q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -12 + 4. Solve -y - y = -k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1042*o**2 - 31*o + 73*o - 42*o.\nAnswer: -1042*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 (base 4) in base 6?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.081436, -1\/3, -0.12?\nAnswer: -0.081436","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 10. Let j(h) = -2*h**2 - 4*h + 7. Let q(z) = 2*z**2 + 3*z - 6. Calculate k*q(a) - 4*j(a).\nAnswer: -2*a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 186*u - 51*u + 183*u - 10*u to g*u + n and give g.\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -11*y**3 + 5*y**2 + 9*y + 5. Let r(k) = 17*k**3 - 7*k**2 - 13*k - 7. Determine 7*f(t) + 5*r(t).\nAnswer: 8*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1698214 and 24.17?\nAnswer: 1698238.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tgsgnggngncnggsn. Give prob of sequence sctn.\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 7*n - 69. What is k(9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 151)\/(-3) - (-345)\/(-276)*-4?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1004 + -38?\nAnswer: -1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 105 + -150. Let r be (-2 - 3)\/(n\/54). Suppose 0 = 6*d - 4 - 8. Solve r*p - d = 7*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b = 33 - 123. Let q be b\/(-3) + -6 + 2 + 9. Suppose -2*p - 2*p + 32 = 0. Solve -4*m - 5*g - 2 = -q*g, -4*m + 4*g = p for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3650924 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 429*l**2 - 8*l - 148. Let y(c) = -143*c**2 + 3*c + 50. Let b(q) = -3*s(q) - 8*y(q). Let p(a) = 16*a**2 - 5. Give -5*b(g) - 44*p(g).\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2201010210221 (base 3) in base 7?\nAnswer: 15144124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4509*s - 4507*s - 1. What is the greatest common divisor of 431 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 636791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lssn when four letters picked without replacement from {o: 5, l: 2, n: 2, s: 3}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 4*b - 57 + 209, -414 = -3*m + 2*b. What is m rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-12))\/((-90)\/24)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223050.39 months in centuries?\nAnswer: 185.875325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2090 - 2024. Calculate the lowest common multiple of y and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = 14 - 44. Suppose -2*h + 19 = x*t, 5*h + 3*t - 45 = h. Solve -4*l - h = -4*b - 0, -6 = l + 2*b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 394843501?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -9*r + 1. Let s = -9 - -2. Let y(b) be the first derivative of 5*b**2 - b - 5211. Calculate s*a(h) - 6*y(h).\nAnswer: 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 16. Solve 0 = -4*t - 3*r - 32, 2*t + q - 6 = 4*r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*a**4\/4 + 5682*a**3 + 422199*a**2\/4 - 384237*a + 43659 = 0 for a.\nAnswer: -42, 33\/281, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13167.435 and 0.7.\nAnswer: -13166.735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.2 - -1. Let r = 2 + -2. Which is the third biggest value? (a) r (b) 3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11727 + 13309. Calculate the least common multiple of 1130 and j.\nAnswer: 7910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 - -12707655326220.\nAnswer: 12707655326220.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 1:06 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = h - 5*c, 0 = -4*h + 3*c - 8*c - 7. Suppose 2*f = 2*d - 80, -3*d + h*d + 184 = -5*f. Let s = 32 + f. Put 2\/5, -1\/2, s in decreasing order.\nAnswer: 2\/5, -1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78060 and 595858.\nAnswer: 2602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 113, 168, 221?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-12)*((-201)\/63)\/(12\/36)?\nAnswer: -67\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -3\/7, 2, 1503 in ascending order.\nAnswer: -3\/7, -0.3, 2, 1503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -470930831*j**3 - 75192426*j wrt j.\nAnswer: -2825584986*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-4)*(-204)\/(-9). Let p = i + -32. Let z(s) = 7*s**3 + s**2 + 2*s - 3. Calculate the remainder when z(p) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 0 + 0*v**2 + 7\/20*v**5 - 1\/90*v**6 - 49\/12*v**4 + 343\/18*v**3 + 83*v. Factor w(g).\nAnswer: -g*(g - 7)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-84)\/(-48) - -5 - (-1)\/4. Solve -7 - m = -7*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -95 + 96. What is the highest common divisor of u and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/45*5)\/(3\/18).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-100)\/10*2\/(-5). Suppose s*c - 6 = -2, -5*c = 2*j - 429. What is the highest common factor of j and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**2 - 1561046*a - 1561044 = 0.\nAnswer: -780522, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.208292473 rounded to five dps?\nAnswer: 0.20829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, j: 1, b: 1, p: 1, c: 1}. What is prob of sequence pb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 50 = -5*l - o, -5*o = -4*l - 17. Let d(f) = -9*f**3 - 5*f**2 + 5. Let c(v) = -14*v**3 - 8*v**2 + 8. Determine l*d(h) + 5*c(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -26*l - 3. Let o be f(-6). Suppose 4*s - 660*a - 92 = -656*a, 5*s + 5*a - 55 = 0. What is the highest common factor of s and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -6*h - 1. Let g be y(-1). Suppose -2*u + 366 = 2*f, -g*f + 2*f + 4*u + 577 = 0. Is (-2 - -1)*(0 - f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 + 2*x**2 + x + 1. Let z be (-2 + (-55)\/(-20))*4. Suppose 0 = -s - z*s + 40. Calculate the remainder when j(2) is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h + 17*h + 15*h + 4*h + 437*h**2 - 34*h.\nAnswer: 437*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*r = 25, -2*x + 12 + 12 = 4*r. Suppose 4*q + 2*s = 2, 4*q - x*s + 10 = -0*s. Let f(b) = 45*b**2 - b. Is f(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6137265?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -3. Let d = -2 + 1. Which is bigger: l or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 0*z**4 - 3*z + 0*z**2 + 1\/3*z**3 + 0*z**5 + 0 - 1\/21*z**7 + 0*z**6. Find the second derivative of j(f) wrt f.\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-20)*-2*-1\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/(-56))\/(-1 + (-2)\/(-14)). Which is bigger: -15 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -10, 2*c = 4*c - s - 20. Suppose -2*t - 1 = -c. Let d(l) = l**3 - 4*l**2 + 4*l - 4. What is the lowest common multiple of 18 and d(t)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 7. Suppose v*w - 48 = 3*w. Let m be w\/(-18) + 6\/(-27). Which is the closest to m? (a) 0 (b) 4 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 137838133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 5. Let j be ((-1)\/(-15))\/((-1)\/p). What is the smallest value in 1, -0.1, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0373884306 to 3 decimal places.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -290 + 198. Let o = t - -94. Let f be o - ((-102)\/(-24) + 1\/2). Which is the nearest to f? (a) -2\/21 (b) -1 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h = 4*h + 125. Let x be h\/(4*(-5)\/16). Solve x*t - 20 + 0 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17776 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1454 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 520033.2 grams in tonnes?\nAnswer: 0.5200332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -197595 divided by -39519.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 1. Let u(b) = -b**3 - 1. Let y(h) = -h**3 - h - 5. Let a(q) = -4*u(q) + y(q). What is -a(r) - d(r)?\nAnswer: -2*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4197 + 9820. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -72328.844 and 3202?\nAnswer: 75530.844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g - 3. Let z be i(4). Let n = z + 9. Let t be (n\/(-2))\/(-1) - 2. Which is bigger: -2\/7 or t?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 223, 216, 199, 166, 111, 28?\n\"Answer: -f**3 + f**2 - 3*f + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (28 - 6 - -10).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j - j**3 - 3*j**3 + 2*j**3)*(-j - 7*j + 0*j).\nAnswer: 16*j**4 + 40*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) -112 (c) -2\/7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -757, -1495, -2233?\n\"Answer: -738*y - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144910?\nAnswer: 2, 5, 43, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -105 + 115. Let v(s) = s**3 - 9*s**2 - 12*s + 28. Let m be v(z). Solve m*k - 5*k = 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-126)\/(-72)*6\/21.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111357 is divided by 12373?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30 and (-4 - 68 - 7)\/(82 - -5)?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 484.503 + 22985288\nAnswer: 22985772.503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5049\/8 - -632. Calculate the common denominator of t and 17\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 6388 (c) 0.1 (d) 2026\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 110 = 2*p, -q - 3*p = 3*q - 105. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8218.83134 - -8227.57. Let z = -140.25976 - o. Let i = z - -149. What is i rounded to 4 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*c**3*x**2 - 34*c**3*x + 266*c**3 - 2*c**2 - 87*c - 6634*x**2 wrt c?\nAnswer: 174*x**2 - 204*x + 1596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3562463 seconds to milliseconds.\nAnswer: 356.2463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -292781 - -167343. Let f = 125437.886067 + j. Let b = f + 0.114. What is b rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*(-5 + (sqrt(2) - sqrt(2)*-2)) + (sqrt(24) - sqrt(96)\/sqrt(4)*-5 - sqrt(24))\/(-1*sqrt(192) - sqrt(12)).\nAnswer: -16*sqrt(2) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1178 and -0.01347?\nAnswer: 1177.98653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -216920 divided by -216920?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1823085461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -14*b**2 + 40*b + 12. Give x(4).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 2*l + 8 = 0, -28*h + 23*h - l = -7 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46752 is divided by 40192.\nAnswer: 6560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8683 + 1139 = -41*k. Which is greater: 188 or k?\nAnswer: 188","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-85479)\/9*(-51)\/(-133). Let n = 3642 + v. Let p = n - 2015\/532. Calculate the common denominator of 87\/2 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**2\/11 - 64*o\/11 - 370\/11 = 0 for o.\nAnswer: -5, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 4*b - 60 - 16, -5*b = -5*f - 50 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + s**2 - 3*s - 1. Let j be b(-2). Let k(z) = -z**3 + z**2 - z + 1. Let x(v) = -v**3 - 3*v**2 + 3*v - 3. Determine j*x(h) + 3*k(h).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(228)\/(5*sqrt(108)).\nAnswer: 4*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1592, 1590, 1588, 1586, 1584, 1582?\n\"Answer: -2*c + 1594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -b**4\/4 - 4*b**3\/3 + 2*b**2 - 6*b + 1273. Let u(k) = -k**2 + 3*k. Let t be u(3). Let l = -5 - t. Give o(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.486 + 1.36. Let t = -0.1156 - b. Round t to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -26. Which is the nearest to -1? (a) 4\/11 (b) -2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010318018 to 6 dps.\nAnswer: -0.000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 8:08 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d + 3 + 3 = -22*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15721.\nAnswer: 79, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -3*l - 5*j + 23, 5*l + 4*j - 21 = 0. Which is the second biggest value? (a) -2 (b) l (c) -0.093 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (4\/(-12))\/((-50)\/430) and -21\/16?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20.437 + 20.4. Let p = s - -0.077. Is p less than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9 - -5) + ((-6)\/3 - -2). Suppose 10*h = l*h - 300. Calculate the remainder when h is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1716442271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 24*z + 29. Let f be s(-25). Let n(q) be the second derivative of -1\/20*q**5 + 0 - q + 1\/3*q**3 + 1\/4*q**4 + 2*q**2. Determine n(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20964 < -20964?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2213.38 minus 0.1?\nAnswer: -2213.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 1:30 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -1942?\nAnswer: 1941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 352376972 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 451095\/57946 - -4\/4139. Let a = -140049\/4 + 34838. Let m = -199 - a. Calculate the common denominator of m and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55*(-8)\/320*24\/66)\/((-22)\/96).\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -548.\nAnswer: -547.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2 (b) -1\/3 (c) 10 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1291 is divided by 130.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 > 103.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**2 - w**5 + 0*w**2 + (0*w**5 - 5*w**5 + 4*w**5)*(2 - 3 + 2) + 23*w**5 + 24*w**5 + w**5 + (1 + 0 - 3)*(-w**5 + 0*w**5 - w**5).\nAnswer: 50*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 2\/47109157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107637 is divided by 5118.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5*j**2 - 2*j - 1. Let i be s(-1). Let x(p) = -2*p - 4. Let w be x(i). Suppose -8*d + 652 = -w*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/11)*(((l**(-1\/5)\/l*l)\/l)\/l)\/l)\/((l*(l**29*l)\/l)\/l*l\/(l\/(l\/l**(-8)))) assuming l is positive.\nAnswer: l**(-2271\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 3*v - 3997. What is the remainder when x(62) is divided by 29?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*y - 104. Let b(w) = -4*w - 77. What is the remainder when y is divided by b(-23)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96434?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2291*a - 265*a + 485*a + 952*a = 138520 for a.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**7\/2520 + d**6\/144 - 7*d**5\/120 + 13*d**4\/6 + 143*d. Let g(s) be the third derivative of m(s). Calculate g(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*a = 15, 4*a = 2*a + 4. Let f = p + -21. Does f = 9\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*g = 0, 0*p + 3*p = 2*g + 15. Suppose p = 3*i - 3. Is i a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22133 and 8?\nAnswer: 177064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14448 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {l: 3, b: 1, c: 6, o: 2, u: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (29 - 221) + 62 + 75\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 28*m. Let x(j) = 3*j**2 + 832*j - 1. Give -6*q(k) + x(k).\nAnswer: -3*k**2 + 664*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -991950, -991951, -991952?\n\"Answer: -d - 991949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-4) + 459\/6 + 0. Suppose -c = -13*l + 8*l. Find the second derivative of -10*v + l*v**2 - v + 4*v**2 - 4*v wrt v.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31653 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13298 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 93402*-238\nAnswer: -22229676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {x: 7, w: 7}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b*b**(7\/6))\/b)**1*(b\/b**(-5)*b*b*b)\/b*b**(3\/10) assuming b is positive.\nAnswer: b**(157\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2343 and 43619631.\nAnswer: 2343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 12*r - 4. Let p be g(12). Let b = p + 3. Let s be 12\/(-3)*b + -1. Solve 0 = -0*c + c - s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 203 + -169.6. Let n = p - 33. Let r = -972\/5 + 195. Put 2, n, -4, r in increasing order.\nAnswer: -4, n, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -d + 11 - 27, 0 = 2*d - k + 20. Sort d, -4, 3 in ascending order.\nAnswer: d, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-20)\/16)*1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -78 divided by 1069\nAnswer: -78\/1069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k = 11*k + 2*o - 4, -3*k + 12 = 4*o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(1836\/56 - 2\/7). Calculate the highest common divisor of 195 and o.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -10*g + 84. Let f(w) = 4*w - 1. Let z(r) = -10*f(r) + x(r). What are the prime factors of z(-9)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -62 * 2.8.\nAnswer: -173.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -3180, -1 in decreasing order.\nAnswer: 3, 2, -1, -3180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -62498.06 bigger than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27062389.89 rounded to the nearest 100000?\nAnswer: 27100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z - 5311 = -8450 - 15747. Calculate the smallest common multiple of z and 18.\nAnswer: 8946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 7:28 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.87 - -0.1945522.\nAnswer: -0.6754478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(-780)*-4*-6. Let y be (-1)\/(-3)*9\/3. Let q be ((-8)\/(-4))\/(-2*y). Which is greater: q or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2236043.\nAnswer: 43, 149, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 4*h + 1. Let g be r(3). Find the second derivative of -33*j**3 - g*j**2 + 4*j**2 - 13*j + 27*j**3 wrt j.\nAnswer: -36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1965\/11 (b) 1\/3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*s = 448. Let w be s\/44 - (-2)\/11. Let g be 4\/33*15\/w. What is the smallest value in 5, -0.1, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, 5, -0.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**2*p**3*y**3 - 4792*g**2*p**3*y - 6*g**2*p**2*y - 2*g**2*y**3 - 11*p*y**3 wrt p?\nAnswer: -12*g**2*y**3 - 28752*g**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 421.4926cm?\nAnswer: 0.004214926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.538796 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/90 and 59\/420?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 4 (c) -5 (d) 0.2 (e) -17.7 (f) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2441?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdbgdrdgrrbbrqbbqrr. What is prob of sequence gr?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/((-7)\/(49\/(-14)) + -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 220 = 4*q. Let g = -111 + q. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/(u*u*u\/(u\/(u\/u**4))))*u\/(u\/(u**(4\/17)\/u)) assuming u is positive.\nAnswer: u**(-30\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 997 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 1166?\nAnswer: 11660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 26 = -2*z, 4*y + 5*z - 38 = 9. Calculate the least common multiple of (2*-29 - -2)*(320\/(-56))\/20 and y.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + u + 1. Let v(p) = -27 + 53 + 2*p**2 - 2*p - 29. Let h(y) = v(y) + 3*w(y). Suppose 1 = 4*z + 5. Calculate h(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 11*v + 44. Suppose -2*n = -20*x + 23*x + 14, 3*x - 10 = 4*n. Let f be q(n). Which is the closest to f? (a) -2 (b) 2\/3 (c) -3 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(5\/2)*s)\/(s\/(s\/(s\/s**(-2\/19)))*s))\/(s**1)**(6\/5)*(s**4*s*s**(-3)*s)\/(s*s**(-3)*s**(4\/3)) assuming s is positive.\nAnswer: s**(-79\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*x**6 + 451259*x**5 - x**3 - 44189*x**2 wrt x.\nAnswer: 240*x**3 + 27075540*x**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*k - 18*k + 35*k - 10*k.\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(-10))\/((w*w**(2\/21))\/w))\/(w**(-1\/19)\/(w*w**(-1\/2))) assuming w is positive.\nAnswer: w**(-6019\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/4)\/(1\/8). Suppose -5*y + 4*r = -n*y - 277, -r - 1 = 0. Let x be (-1 - 0)\/((-2)\/26). What is the highest common divisor of y and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*s - 8. Let c be -1*87\/(-21) - (-2)\/s. Calculate the highest common factor of c and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1)\/l**(-1\/10))**7\/((l\/(l\/l**(-1)))**45*(l\/(l\/(l\/(l\/(l**3*l))*l)*l))\/l*l**5\/l*l) assuming l is positive.\nAnswer: l**(307\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 68792, 137582, 206372, 275162, 343952, 412742?\n\"Answer: 68790*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.363972623 - -11920.\nAnswer: 11922.363972623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.22 + -4.78. Let r = 1\/5392 - 10789\/26960. Which is the biggest value? (a) -8 (b) r (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 88718645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6 = -2*w, 3*p + w + 7 = -0. Let o = -175 - -1221\/7. Sort -1\/5, o, p in increasing order.\nAnswer: p, o, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 2:39 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58 and 145.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2201003 (base 7) in base 8?\nAnswer: -1015712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 66*n + 69.\nAnswer: -3*(n - 23)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 19\/(-57)*6 - -1. Let a(c) = -4*c**3 + c**2 - 1. Determine a(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2789302634 to the power of 1\/2, to the nearest integer?\nAnswer: 52814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.93 - -0.27. Let x = -13 + u. Let n = 1.53 - 1.63. Which is the nearest to x? (a) n (b) -2 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 18 = 10. Calculate the highest common factor of 42 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332298 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42683 - -108262. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -3. Solve -24 = -0*a - a + w*n, -5*a + 4*n = -15 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -5, -0.1, -1.336?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 4*f + 3*f)*(4*f**4 - 4*f**4 + f**4) - 4*f**5 - 2*f**3 - 4*f**2 + 2*f + 4*f**2.\nAnswer: f**5 - 2*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2. Let r(l) = 10*l**2 - l - 35. Calculate r(j(b)).\nAnswer: 40*b**4 - 2*b**2 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2919.786 meters in kilometers?\nAnswer: 2.919786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*c + 31*c + 8778 = 0. What are the prime factors of c?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f*n - 26*f*r**3 + 2584*n*r**2 + 391*n*r - 2*r**5 + r + 1 wrt r.\nAnswer: -156*f*r + 5168*n - 40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1472 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 107147 and 46201.\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-3\/7)*h*h*h)\/h*h*h\/(h*h\/(h**(-2)\/h))*(h\/((h**(-2\/21)*h)\/h))\/h**(2\/7) assuming h is positive.\nAnswer: h**(8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -8*s - 2\/9*s**3 + 0*s**4 - 1 + 1\/90*s**6 + 1\/20*s**5 + 0*s**2. Let v(l) be the first derivative of n(l). Factor v(j).\nAnswer: j*(j - 1)*(j + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01705315414 rounded to 4 dps?\nAnswer: -0.0171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.02, -0.49, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6101?\nAnswer: 6101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1*2*1\/(-2))\/((-618)\/4944)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 85071.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 10) + (2 - 1) + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -0*b - 220. Is 14 a factor of b + (-1)\/(-4) + 9\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(588)\/(sqrt(12)*5))\/sqrt(7).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 3*s**2 + s**2 + 5*s**2 - 5*s**2.\nAnswer: 4*s**2 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 9*i**3 + 9*i**3 - 17*i**3)*(-5*i + 3*i + i) in the form r*i**3 + c*i**2 + m + x*i**4 + z*i and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 2*v**2 - v + 1. Let r(x) = 45*x**2 + 357*x + 27. What is the lowest common multiple of r(-8) and g(2)?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-35)\/2)\/(-7)*-2. Sort 2, 4, y, -4 in descending order.\nAnswer: 4, 2, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 927579817 - 0?\nAnswer: 927579817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + 6 - 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48670?\nAnswer: 2, 5, 31, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3282.424 litres?\nAnswer: 3282424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8990*a - 4600875 + 4600875.\nAnswer: 8990*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 392847?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/20, 2\/3, 1000, -3\/5, -4 in decreasing order.\nAnswer: 1000, 2\/3, 1\/20, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 18 = 4*y + 44, -4*y + 14 = -d. Let q(v) = -v**2 - 9*v + 7. What is q(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**3 + 2*v**3 + 42134105*v - 42134103*v - 1374*v**2 to o + f*v**2 + x*v + g*v**3 and give f.\nAnswer: -1374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10608751 divided by -3.\nAnswer: 10608751\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -7501721?\nAnswer: 7501726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) -1\/13 (c) -368\/3037\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-5)\/15*(-232)\/8)\/(45\/270)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from csssqsscesssqqeeeee. Give prob of picking 2 e and 1 c.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28.915 + -0.085. Let v = z - -27.751. Let t = v + 1.54. Round t to 2 dps.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 38 - 6 = 0. Suppose -r*l + 9*l - 45 = 3*s, -2*l - 14 = 2*s. What is the smallest value in s, 0.1, 0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212795372 a multiple of 325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67584301?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1*sqrt(85) + sqrt(85)))\/sqrt(405).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15305410 is divided by 962.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 15*i**2 + 25*i - 80. Give r(-13).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -2831*x**4\/12 - 1841*x**2\/2 + 3873*x + 2. What is the derivative of h(o) wrt o?\nAnswer: -5662*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 908637093?\nAnswer: 3, 7, 13, 653, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000011822 to seven dps.\nAnswer: 0.0000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m**3 - 9*m**3 + 15*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - g - 2. Let i be u(-2). Let p(d) = d**3 + 9*d**2 - 21*d + 16. Let r be p(-11). Let w = i + r. Solve 7*y + 1 = v + 2*y, -w = y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 833\/(-476) - 3\/(-60)*29?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 36. Calculate the highest common divisor of l and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 276 - 4. Let w be ((-185)\/(-17) - 2) + 32\/o. Solve 0 = 3*u + w, -2*k + 0*u = 2*u - 4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 5*u - 14 + 24, 2*p - u - 5 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j**2 + 93*j + 460. Give q(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72 + 74. Does 55 divide 198*(v\/8)\/(27\/180)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**2 - 6*k. Let w(r) = -7*r**2 + 12*r + 1. Suppose 0 = -5*n + 20, 0*n - 35 = 3*v - 2*n. Let s(a) = v*x(a) - 4*w(a). Give s(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-53)\/265 - 7\/45 and 2\/105.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 157 - 627\/4. Let j = 4 - 3. Which is the closest to j? (a) o (b) 0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-10) + (-2)\/10)\/((-245)\/(-98))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1958 - -2?\nAnswer: -1956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*6\/4)\/((-73)\/(-73)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s**2 - 2*s - 2. Let l(q) = q**2 - 5*q - 5 + 8*q**2 + 0. Let z(j) = -10*g(j) + 4*l(j). Let o(n) = -2*n**2. What is o(z(a))?\nAnswer: -32*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24782011*c - 8613317.\nAnswer: 24782011","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 10*d + 12, -4*j = 5*d + 54080020. Round j to the nearest 100000.\nAnswer: -13500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 772350.9 tonnes to kilograms.\nAnswer: 772350900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.991089 rounded to 1 dp?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.46 - 1.24. What is the nearest to 2 in 2, a, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -215*f**2 + 35*f - 4. Let y(q) = 215*q**2 - 34*q + 6. What is 3*p(c) + 2*y(c)?\nAnswer: -215*c**2 + 37*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 7 (c) -2\/7207 (d) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-74 - (-146 - -53)) + -17\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i = 3*u - 23*i + 59*i - 14*i + 10, 2*u - 9*i = 47 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (189*(-46)\/(-2484))\/(7\/96).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8.7, -1, 0.3, -15?\nAnswer: 8.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 60 - 39 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15196437*b - 9566786.\nAnswer: -15196437","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-35)\/(-6) - (-8)\/48. Let c(l) = 3*l + 3. Is c(m) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -325838516 take away -713?\nAnswer: -325837803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2012000212220 - 10?\nAnswer: -2012000220000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 4*j - 32, -6*o - 2*j - 25 = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 14 + (47 - 73).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1241 - -1363. What is the remainder when 849 is divided by k?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 574 = 401. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 81a34 + 11?\nAnswer: 81a45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from oopppooerr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 13 + 3*f - 25 + (-2 - 1 + 2)*(-4*f + 0*f + 2*f) - 2 - f + 2 + 3*f - 9*f + 15*f.\nAnswer: 13*f - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-6*3*(sqrt(17) + (sqrt(17) - (0 + sqrt(17))*-6))*-4)**2.\nAnswer: 90243072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 3:04 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 10:11 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, c: 3, e: 3, o: 6, k: 1}. What is prob of picking 1 k and 1 o?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -180 - -262. Let q = 79.36 - g. Round q to one dp.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16828 = -281*y + 42961 for y.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -372 + 29130719.\nAnswer: 29130347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d2056 + -2d?\nAnswer: d2029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1.56*135833\nAnswer: 211899.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.18 and 28.1.\nAnswer: 5.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/(sqrt(3)*3 - sqrt(3)) + sqrt(108)*-1 + 5)**2.\nAnswer: -55*sqrt(3) + 463\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3126041 and 109.37381.\nAnswer: 3126150.37381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 27*m + 9*m**2 + 0*m**3 + m**3 - 6*m**3 + 15 + 9*m**3. Let o(d) = 2*d**3 + 4*d**2 + 14*d + 8. Let j(u) = 7*o(u) - 4*r(u). Let j(c) = 0. Calculate c.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/(-2) + 6 + -2 + -1 + 7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 8835341 = 8*k + 8835387, 5*k + 43 = 2*p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 10\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 8. Suppose o + 3*o + 4 = 0. Calculate the least common multiple of (-8)\/(-1) - (o + b) and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 16893*b**2 + 608100*b - 1728 = 0.\nAnswer: -36, 16\/5631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-7) - 45\/(-35). Put l, 0.8, 0 in increasing order.\nAnswer: 0, 0.8, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 160.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 162146.28980825 - -110.43345175. Let t = l + -162259. Let j = t + 2.28. Round j to 4 dps.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160388594147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6902242 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3}. Give prob of sequence pp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-156) + 28905\/(-1599).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4056+-2138.2249\nAnswer: -6194.2249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 2*a**2 + 4*a - 1. Determine u(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -19 + 1. Let g(t) = -4*t**2 - t - 17. Let v be g(0). Is d less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3*sqrt(80)*6)**2 + ((sqrt(35)\/(sqrt(7) + sqrt(112)))**2 - ((sqrt(5) - sqrt(125)) + 4)).\nAnswer: 4*sqrt(5) + 129586\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 497.9 - 531.9. Which is smaller: -82 or s?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -125 by -2160.\nAnswer: 25\/432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 1, -38, -21 in decreasing order.\nAnswer: 3, 2, 1, -21, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264 and 7964?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 29. Calculate the greatest common divisor of v and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 155\/4 - 473\/12. Which is the nearest to -6? (a) -4 (b) m (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -50*j**2 - 3*j + 4. Calculate c(1).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 435 by -15.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1104339 by -4.\nAnswer: -1104339\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bibgwigubuuuigx. What is prob of sequence ug?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - u + 459 = 0, 3*q = -0*u - 2*u + 348. What is the remainder when 3761 is divided by q?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/5 - 3*(-4)\/(-5). What is the closest to -2\/3 in -6\/7, a, -1\/10?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79 + -79.5. Let s = -0.7 + -0.3. Which is the biggest value? (a) s (b) r (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w = 4*w - 34*w - 637 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23101 = u + 117*a - 120*a, 5*a = 5*u - 115445. What are the prime factors of u?\nAnswer: 41, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - a + 4. Let n be z(-3). Let x(l) be the first derivative of -l**3\/3 + l**2\/2 - l + 56. Give x(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 97*b**2 - 5*b - 15. Let q(g) = 7130*g**2 - 368*g - 1104. Give 5*q(j) - 368*y(j).\nAnswer: -46*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101011 (base 2) to base 7.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -12*n + 16. Let f be g(5). Let o be (0 - -1) + 55\/f. What is the third smallest value in 0.2, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/7 and 2634515 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 600 = -4*h, 0 = 5*p + 21*h - 17*h - 1500. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbuybbnbnu. What is prob of sequence nu?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 657197372 to the nearest integer?\nAnswer: 869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 6*t**2 - 2*t + 7. Calculate i(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 4*z - 3. Let f be y(-2). Suppose -i - 105 = -2*p, 2*p = -3*i + 102 - f. Let l = -57 + p. Is l smaller than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003897 rounded to six decimal places?\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 251951.9 to the nearest one thousand.\nAnswer: 252000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 29567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - 6)*(-2 + 4 + -71). Calculate the common denominator of (-17)\/408*(-2)\/(-4)*i and 3\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*f + 5*z - 4*z, -25 = -4*f - 5*z. Suppose f + 4 = -n. Which is the biggest value? (a) -3 (b) n (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141756092?\nAnswer: 2, 137, 139, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30213 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.2, -4, -177, -1\/161, 1\/4 in descending order.\nAnswer: 7.2, 1\/4, -1\/161, -4, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*n - 22*n = -12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14498642 is divided by 2518?\nAnswer: 2516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 2:23 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*v - 5*v + 2*v)*(0*v + 3*v - 2*v) + 2*v**2 + 0*v**2 + 0*v**2 - 59 + 59 + 2*v + 10*v**2 in the form m*v + p*v**2 + k and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -308 + 307. Let k = -3 - -4. Which is the closest to 0.1? (a) g (b) k (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**3)**(-2\/7)\/(a\/((a**(-1\/10)\/a)\/a)*a**(-16)))**40 assuming a is positive.\nAnswer: a**(3372\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -4. Suppose 5*l - 28 = a, 2*l - 36 = -3*l - 3*a. Solve 0 = -f + l*f - j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 129996 - 71807. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i - 566*i**2 + i - 4*i + i.\nAnswer: -566*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*n - z - 10, -z = 0. Suppose 4*o + 30 = 2*k, -4*k + 5*k + 5 = -2*o. Let p be (-2)\/10 - 1*(-1)\/k. Solve p = l + n*l + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 18*o**2 - 109*o + 8. Calculate the remainder when 34 is divided by p(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1769*r - 140 = -1779*r for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -5\/52929?\nAnswer: -5\/52929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0549 plus -36?\nAnswer: -35.9451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((19 - (-5955)\/(-285)) + 2)*-2.\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 342 + -334. Let z be 198\/10 + 1\/5. Suppose -5*r + z + 10 = 0. Calculate the least common multiple of r and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112721 (base 8) to base 3\nAnswer: -1221121111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y + 7 + 7 + 6 - 4. Let w(g) = -5*g**2 + 4*g - 24. Let m(k) = 9*k**2 - 7*k + 42. Let l(p) = -4*m(p) - 7*w(p). Give z(l(s)).\nAnswer: -s**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/2)\/((p\/(p**(1\/3)\/p))\/p*p))\/((((p\/(p\/(p**6\/p))*p)\/p*p)\/p)\/p*(p\/(p*p*p**(-3\/7)*p*p))\/p*p))**(19\/2) assuming p is positive.\nAnswer: p**(-1273\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 196723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*p = -t - 4, 4*p - 28 = -4*t. Find d, given that -12*d**t + 15*d**3 - 10*d + 2*d**2 + 15*d**2 = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 + 2 = 7*c. Let w(x) = -x**5 + 2*x**4 + 7*x**3 + 4*x**2. Let a(t) = 2*t**5 - 4*t**4 - 15*t**3 - 9*t**2. Let i(u) = c*w(u) - 6*a(u). Solve i(v) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.02 + -0.22. Suppose -7 = 2*f - 3*y - 2, f - 11 = -3*y. Let o be 3\/27 - f\/6. What is the third biggest value in o, -3, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-1) + 120\/8. Let t be -1 - 40\/x - -3. Let b = -0.4 - -0.34. What is the second biggest value in t, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7378 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: Is 275672087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (136\/(-85))\/(-3*(-126)\/45).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 13004\/9, 1, -812?\nAnswer: 13004\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4519*w + 1503*w - 2*w**3 + 1512*w + 1504*w.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-9))\/((-2)\/18). Suppose -1 - 5 = -i*k. Differentiate 5 + 1 - 8 - 6*c**k with respect to c.\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/8 and 91\/80586.\nAnswer: 322344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 6*v = 80. Let t = v + 47. Find the common denominator of 51\/2 and 2\/t + (-4)\/((-2184)\/369).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i + 5887699 - 5887098 - 4*i to the form z + y*i and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(245) + 0 - sqrt(245)))**2 + sqrt(245))*-2.\nAnswer: -14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**4\/8 - 277*i**2. Let f(p) = p**2 + 1066*p. Give f(v(r)).\nAnswer: 9*r**2 + 3198*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 - 7 + 11)*(-2 - 1 + 4)*(-6 + 6 - 3*t).\nAnswer: 90*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/3 - 3605028*r - 4873585080294.\nAnswer: -2*(r + 2703771)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -58248 + 291242\/5. Let t = 5 + -14\/3. Which is the second smallest value? (a) -0.2 (b) 1\/4 (c) t (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/90)\/(6\/(-15)). Let y = 14\/9 - d. Let u = -0.16 + 0.16. What is the nearest to 1 in u, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 1:01 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12 - (-42)\/4)*2 - 44) + 6?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -15*s**2 - 900*s + 5. What is a(-60)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**2 + 2*c**2 + c**3 + (4*c - 3*c - 4*c)*(-c**2 - c**2 - 8*c**2).\nAnswer: 31*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18216559?\nAnswer: 3137, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.68039cm in meters?\nAnswer: 0.8768039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 6767\/276 and 25 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 14*b**2. Let z(u) be the second derivative of 0*u**2 + u - 5\/12*u**4 + 0*u**3 + 0. Let g(n) = 3*a(n) + 8*z(n). Let w(k) = k. Calculate w(g(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11 - 1884\/108 - -28 - (0 - 2)\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 140 + -89. Suppose 0*w - 18 = -w. Calculate the remainder when b is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -106 + 110. Let m(n) = 14*n**2 - 26*n + 8. Let c(b) = 9*b**2 - 17*b + 5. Let y(v) = 8*c(v) - 5*m(v). What is y(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 116, 555, -528 in ascending order.\nAnswer: -528, 116, 555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -816 (base 15) to base 2.\nAnswer: -11100011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31923.\nAnswer: 3, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*r = 73, 72 = -0*u + 4*u + r. Let c = u - 31. Let p = 21 + c. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kiwk when four letters picked without replacement from iqwqikwwqdkq?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -121*z**2 - 171. Let v(u) = 244*u**2 + 342. Let f(j) = -9*b(j) - 4*v(j). Differentiate f(x) with respect to x.\nAnswer: 226*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 23. Suppose q = -w + 2*w - 3. Solve 5 + 1 = w*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -d**2\/2 - 13*d + 7. Let i be n(-7). Let o(r) = -r**3 - 5*r**2 + 6*r - 4. Determine o(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - -4*sqrt(272)) + -2*sqrt(612))**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l - 17. Let f be d(9). Let b = -2 + f. What is the remainder when b is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17158018 at most 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1 + 2*sqrt(425))**2*-5*-6 + 0 + 4.\nAnswer: 600*sqrt(17) + 51029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -151, 57, -0.4, -1\/4, 3\/4?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 116.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(25)\/(sqrt(25)\/sqrt(5)) + (sqrt(245) + -5 - sqrt(5))**2.\nAnswer: -59*sqrt(5) + 207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8*(-3)\/6*(2 - 1). List the prime factors of (86\/n)\/(7\/14).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 33. What is the lowest common multiple of r and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/36 and 173\/60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0013 - -0.1013. Sort 19, t, 1 in increasing order.\nAnswer: t, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y**2 - 32*y - 27*y + 61*y + 10 + 2*y**2 in the form i + s*y + f*y**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(3 + (-18)\/8). Let v(a) = a. Let u(l) = 1. Let q(k) = g*u(k) + 2*v(k). Let m(x) = 3*x + 5. Calculate -4*m(o) + 5*q(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2 + 86*j + 9. Give y(41).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 divided by -14?\nAnswer: 121\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 10:11 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*d = 3*k - 520, 5*k - 528 = -4*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1515944, -1515963, -1515976, -1515983, -1515984, -1515979?\nAnswer: -1515968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 107645 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*o - 78, -2*u = u - 2*o - 60. Suppose 0 = 341*f - 326*f - 75. Solve -16 = f*x + 4*a, 0 = -0*x + 5*x + 2*a + u for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(3\/4)\/(z\/(z\/(z*z**(-16)))) assuming z is positive.\nAnswer: z**(63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2391*i - 2427*i + 4858*i.\nAnswer: 4822*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5105.1 rounded to the nearest 10?\nAnswer: 5110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 254 + 166. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-10)*(-58)\/29. Calculate the greatest common factor of y and 171.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**3 - 22*n**2 - 24*n - 7. Give u(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69457 is divided by 1654?\nAnswer: 1643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/106 and 31\/11?\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -16093 + 0 - (24 + -19). Is (3\/((-6)\/5))\/(3\/d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 45*t**2 - 1. Let r be c(-1). Let q = -26 + r. Let u(p) = p**3 - 13*p**2 + 15*p - 26. What is the remainder when q is divided by u(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 6) to base 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1018283\/13128 + 8230635541\/29603640. Let x = -28\/451 + r. Let k = -201 + x. Sort 2\/23, -1, k in decreasing order.\nAnswer: 2\/23, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81 and 16218.\nAnswer: 145962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 g when three letters picked without replacement from {p: 3, l: 4, g: 7}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15*66\/(-440))\/(2\/8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-2))\/((-15)\/(-40)). Let t = 6 + f. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, v: 2, w: 6, h: 1, m: 3}. Give prob of sequence um.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5741572201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2517790 is divided by 1207.\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345616611?\nAnswer: 3, 2143, 53759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-8\/9)\/(j*j**0*j))**(11\/6) assuming j is positive.\nAnswer: j**(-143\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35649, 35663, 35679, 35697, 35717, 35739, 35763?\nAnswer: 35789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31\/29 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 13*n**2 + n - 28. Calculate v(-14).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(((-6)\/(-8))\/((-203)\/(-28))). Suppose 6*q - 25 = y. Solve q*w - 15 = 4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194162 to the power of 1\/2, to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -12897 (base 10) to base 16\nAnswer: -3261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + 14 - (-1 + 1)) + 1 - 15.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 250, 0.1, 3\/193, -0.2, -0.03.\nAnswer: -0.2, -0.03, 3\/193, 0.1, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 15*r**2 + 0*r + r**3 + 3*r - 4*r + 16 - 6*r**2. Let c be u(-9). Suppose -5*j = -35 - c. Calculate the remainder when 46 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32.392 * -0.3.\nAnswer: 9.7176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -1 + 4 + -16 + 16 + -66.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 7*h**2 + 67*h**3 - 66*h**3 - 8*h - 9 - 2*h. Let v be o(-8). Determine k, given that -4*k - 9*k**2 + 2*k - 3*k + 3*k**3 - v*k = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 35*i + 58. Is f(-35) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3920 + 3925. Solve 3*b = c - 1 + 13, 3*c - 6 = -n*b for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39004*j**2 + 14903*j + 2.\nAnswer: -78008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 - 52157*j**2 - 680114240*j - 680062084.\nAnswer: -(j + 1)*(j + 26078)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)\/b*b**(2\/11)\/b)**(-6\/7) assuming b is positive.\nAnswer: b**(318\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*m + 324 = -0*m, 0 = -4*g - m + 324. Let u = -32 + 24. Let r be (10\/3)\/(u\/(-192)). Which is bigger: r or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**2 - 499*b + 277*b + 222*b.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 5*k**2 + 23*k - 27. Determine b(-8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -71, 267, 559, 781, 909, 919, 787?\n\"Answer: -4*b**3 + b**2 + 363*b - 431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5005809 to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-18)*3 + 2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -3*h - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(2\/(-52)))\/1. List the prime factors of (-12)\/(-8)*-2 - h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1300)*-2*2 - (0 + (sqrt(1300) - (sqrt(1300) + sqrt(1300) + -1)) + sqrt(1300))*1) + 1)**2.\nAnswer: -160*sqrt(13) + 20804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (342*a - 733*a - 383*a)*(1 + a - 4*a + 2*a).\nAnswer: 774*a**2 - 774*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**6\/120 + 79*l**3\/3 + 13*l. Let k(h) be the second derivative of m(h). Let s(v) = -63*v. Calculate k(s(q)).\nAnswer: -11907*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 233 - 7?\nAnswer: 22b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -49*q**4\/2 + 8589*q**3\/2 + 456469*q**2\/2 + 5597811*q\/2 + 2574990 = 0.\nAnswer: -153\/7, -1, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 572566949 to the nearest integer?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-71 + 45 + 6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**5\/3 - 55*x**4\/3 + 110*x**3 + 3820*x**2\/3 - 1240*x\/3 - 4800 = 0. What is x?\nAnswer: -10, -9, -2, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 + -0.4. Let f = 1.792 + 8.498. Let s = f - 10.09. Which is the second smallest value? (a) s (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29.17 + -29.47. What is the nearest to 0 in 2, -21, g, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 0.068.\nAnswer: 0.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 2*g - 6. Let x be q(4). Suppose 2*l = 3*m - x, 3*l + 5 = m - 1. What is the units digit of ((-12)\/(-1))\/(m\/4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6966? (a) -1 (b) 0.3 (c) 0.4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(324) + -2*sqrt(324)))\/(sqrt(441) - 2*sqrt(441)))\/(2*-2*sqrt(12)*-1*-5).\nAnswer: -3*sqrt(3)\/140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-117)\/(-39))\/(19\/((-21204)\/54))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -355793*c*h**3 + c*h**2*r - 74*c*h*r + 80*h**3*r + 2 wrt r.\nAnswer: c*h**2 - 74*c*h + 80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 6*s**2 + 2*s + 3. Give o(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/4090*42689\/(-12). Let q be (-9)\/6*(-184)\/(-2454). Let c = b - q. What is the common denominator of 149\/30 and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = x + 4, 116 = 5*i - x. Is 23 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1070 is divided by 98?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1) + (0 - -2 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/33 and 29\/318293835.\nAnswer: 3501232185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 12*i**2 + 34*i - 52. Let m be n(-4). Let c = 11 + -13. What is the closest to 1\/12 in c, m, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m + 4. Suppose 75*x = 68*x. What is h(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oivoiyoiyiiioyy. What is prob of picking 1 i and 1 v?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.64 + 1456347078\nAnswer: 1456347077.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 68607 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*d + 472 + 248. Let x be 5\/(-30) - (-56)\/d. Let w = 0.8 - 4.8. What is the second smallest value in 16\/5, x, w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 12*y - 12. What is the first derivative of -21 + 181*a - 12*a**2 - 181*a + 10*a**y wrt a?\nAnswer: -4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 200795*t**4 - 186*t**2 + 413383960.\nAnswer: 803180*t**3 - 372*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.31803 kilograms in milligrams?\nAnswer: 33318030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4215)\/180 + 200\/480?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 0. Let t = 167\/154 - 5\/14. Let p = -35\/33 + t. What is the nearest to z in -3, 2, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16369456 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 43921.\nAnswer: -17568.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 2*y = 16. Put -1, 6, y in decreasing order.\nAnswer: 6, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 659465553 to the nearest integer?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w. Let t be f(-1). Let o = t + 5. Is 8 greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = c + 202, 0 = -7*d + 2*d + 5*c - 220. Let g = 71 + d. Suppose h = -9*h + g. Solve -2*a + 7 = 2*t + h, 3*a - 8 = -5*t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = 33*o + 127*o - 8588810. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 y when three letters picked without replacement from izyiygzyciyys?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5603.\nAnswer: 13, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 54*k**2 - 23*k - 3. Is 8 a factor of a(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 89 + -8*1\/((-4)\/(-2)). Do 85 and k have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 12 - 24 = 0. Suppose 469 = s*i - 398. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 49230670?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-2925)\/(-40))\/(-15).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*d - 1751 + 16117 = 0, 0 = -0*d - d. What is the thousands digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 230*l + 3 - 440*l + 212*l. Let u(k) = -23*k + 2. Calculate g(u(c)).\nAnswer: -46*c + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29337770*z**4 - 3*z**3 + 42*z**2 + 1642331*z - 1 wrt z?\nAnswer: -704106480*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (((-912)\/(-15))\/(-4))\/(2\/(-190))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1479794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 1 - 5. Let f = -0.1 + -0.4. What is the closest to k in 1\/5, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 0.22\nAnswer: 0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/13, -2\/13, 95, -1, -36\/11 in increasing order.\nAnswer: -36\/11, -1, -2\/13, 2\/13, 3, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226 + 34 = 130*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*h**2*o*p**3 + 15*h**2*o*p + 12*h*p**4 - o*p**3 + o*p - 4*p**2 wrt p.\nAnswer: 78*h**2*o + 288*h*p - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-10))\/((15\/2)\/(-5)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 12*v**2 - 59*v - 5. Let z be m(6). Solve z*o + 24 = 61*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1390107525.\nAnswer: 3, 5, 3433, 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 70983\/112 greater than 635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - u**2 - u - 8. Let g be (-1 - (2 + -3))\/(-1 + -2). What is z(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4409358 weeks in nanoseconds?\nAnswer: 266677971840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 2*l - 6, -2*l - 4435 = t + 2*l - 4438 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/174 and 19\/522?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-12) + 9\/6 + -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45802 divided by -254.\nAnswer: -22901\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 5:55 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -354, -352, -350?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (1 - ((26 - (-6 - -14)) + -9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/8)\/((-10)\/((-8709)\/33 + 18\/(-198)))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + 433*p - 8670, -12 = b - 6*p + 2*p + 13 + 50 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 594*p + 596*p - 1187*p. Let u(n) be the second derivative of -3*n**3\/2 + 5*n. Determine u(f(g)).\nAnswer: -27*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**3)**9\/(f**2*((f\/((f**(-6)*f)\/f*f*f)*f)\/f)\/f))**(8\/11))**(-34) assuming f is positive.\nAnswer: f**(-5712\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 10*k**2 + 4*k. Let u(q) = q**3 + 11*q**2 + 5*q. Let h(c) = -4*u(c) + 5*z(c). Determine m so that h(m) = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*j - 4 = 0, 5*f + 5 - 1 = 2*j. What is the units digit of (f + -1)\/((-1)\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 5*p - 5. Suppose -f = -p - 0. Suppose q - 5*o - 11 = 0, o = f*q - 3*o - 97. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/15*3)\/(4\/(-10)). Let q(y) = 2*y - 10. Let k be q(o). Solve -k*r + 6 = -0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, q: 9, w: 2, o: 5}. Give prob of sequence qw.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/15)\/((-3)\/420*2). Let h be 4*(-7)\/p + 0 + 113. Suppose 0 = 5*j - h - 43. Calculate the remainder when 123 is divided by j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2441669.\nAnswer: 43, 56783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 + -37. What is the nearest to g in -1\/4, 1\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 1:54 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**4 - 10*z**2 + 5 = 0 for z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**5 + 3*c**5 + 2*c**5 - 62*c**5 - 58*c**5 + 23*c**5 + (-3*c**2 + 2*c**2 + 3*c**2)*(4*c**2 + 2*c**3 - 4*c**2) + 2*c**2 + c**5 - 2*c**2.\nAnswer: -90*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 151, -6.74, -59?\nAnswer: -6.74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*p**2 - 154*p**3 + 2*p - 201*p**2 + 156*p**3 + 2*p.\nAnswer: 2*p**3 - 373*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/45)\/(6\/45).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7*d**2 - 2*d - 2. Let j be p(1). Suppose -5*x + 25 = -5*y, x + 4*y = j*y + 3. Calculate the least common multiple of 6 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 1, 0.17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -971*s - 846*s - 24166 = -1255*s for s.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30*b**2*c*p - 2*b**2*c - 2463*b**2 + 214*c*p - p wrt c?\nAnswer: -30*b**2*p - 2*b**2 + 214*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 3952 + 109 = -24*a - 34*a for a.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94526621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w - 44. What is m(18)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.00992131 + -0.40992151. Let z = -4 - -4.4. Let o = z + x. What is o rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 124 and 33619?\nAnswer: 4168756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -x**4 - 32*x**3\/3 - 42*x**2 - 72*x - 27. Solve f(p) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**3 + 66*s**2 + 64*s = 0?\nAnswer: -32, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 8*p - 5325 = 0, 15897 = 3*y - 13*p + 11*p. List the prime factors of y.\nAnswer: 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 divided by 23.\nAnswer: 96\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 4753?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**5\/10 + 289*k**4\/10 - 7258*k**3 + 2224078*k**2\/5 - 38807136*k\/5 - 41067648\/5 = 0. Calculate k.\nAnswer: -466, -1, 34, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/120 and 15\/((-495)\/22) - 6\/(-15).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (15 - 8) + 34 - -11\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(110)*3 + sqrt(110) + (4*(sqrt(110) + sqrt(110)*-2) - sqrt(110)))\/(-1*-1*sqrt(490)*-3).\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 5*u - 4. Let h(j) = j - 13. Let f be h(6). Let v = f + 3. Let b(y) = -y**2 - 7*y - 6. Let a be b(v). What is d(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3733?\nAnswer: 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 6*v**2 + 11*v + 26. Let q be z(-7). Let l be 55\/22*q\/1. Sort -24, l, 0 in descending order.\nAnswer: 0, l, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -16*t**2 + 300. Let g(u) = 9*u - 64. Determine n(g(x)).\nAnswer: -1296*x**2 + 18432*x - 65236","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.5? (a) 4\/9 (b) -1\/6 (c) -4.6 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*c = -13158 + 15678. Solve c = 29*f - 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 0.07 (b) -7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 125321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.4, -17\/3, 9\/5, -2, -1\/2 in descending order.\nAnswer: 4, 9\/5, 0.4, -1\/2, -2, -17\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 1 - 19. Let k = 6 - j. Let r be 3\/6*k\/1. Put -9, -5, r in ascending order.\nAnswer: -9, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, m: 2, a: 2, q: 2, n: 9}. What is prob of sequence mmq?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385 = 36*k - 191 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15385, -61615, -138673, -246565, -385297, -554875, -755305, -986593?\n\"Answer: -a**3 - 15408*a**2 + a + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t - 48. Determine b(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*i + 27*i + 8*i in the form c*i + g and give c.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nppnp. What is prob of sequence nppp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*d**2 + 14*d + 9*d**2 + 12*d**2.\nAnswer: d**2 + 14*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 4*r - y - 0*y, 0 = -5*r - y - 29. Let n(m) = -m**2 - m. Let p(v) = -4*v**2 + 6*v. Calculate r*n(h) - p(h).\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 155 + -10?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 b when two letters picked without replacement from eebbbydredeerbe?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-4 + 5*(-3)\/(-5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 279317034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.39 + -1.38999911. What is k rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n. Let s(v) = -v. Let r(y) = g(y) - 6*s(y). Is r(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 5*z - 30 = -5*l, 5*z = 3*l - 10. Let y be (-2)\/8 - (-51)\/12. Suppose -l*t = -y*t. Solve -4*i + 6 + 2 = t for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13171 - 13170.5. Which is the biggest value? (a) -4440 (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 5, 271, 0, 1449, 1 in descending order.\nAnswer: 1449, 271, 5, 1, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -4 + 3 + 2 + -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 128?\nAnswer: 25.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (69*r + 21*r**2 - 69*r)*(48 - 48 + 43*r**2) - r**2 + r**2 - 2*r**4 in the form u*r + b + j*r**3 + c*r**4 + v*r**2 and give c.\nAnswer: 901","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-2\/97)))\/(q*q**(-1\/3))*q\/(q*q**(7\/8))*q**(-1\/27) assuming q is positive.\nAnswer: q**(-32645\/20952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 v when four letters picked without replacement from {v: 6, x: 13}.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8106 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -38*j - 2151. Let u be z(-73). Solve -628*f - 20 = -u*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ma when two letters picked without replacement from {p: 1, o: 3, a: 1, m: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(2\/3)\/t)**(21\/5))**(2\/39)\/((t\/t**(-3\/5)*t)\/t*t**(-1\/3))**(-4\/7) assuming t is positive.\nAnswer: t**(1184\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1741 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 44*q + 2279. What is d(-45)?\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + 3 + -3 - -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5579.729 centuries to millennia.\nAnswer: 557.9729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 3 = 2*g + 3*v, -g + v = -4. Solve g*a = 6 - 21 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 128 and 3?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13803149?\nAnswer: 83, 166303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64575 and 8897.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67 + -73. What is the least common multiple of 5\/o*-4*(-18)\/(-10) and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -42, 1 in decreasing order.\nAnswer: 2, 1, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-10) - 23283\/(-130). Let k = i - 100. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -1\/2 (b) 2\/21 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002475633 to seven decimal places.\nAnswer: 0.0000248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 0*c - 4*c)*((-c - 1 + 1)*(-c + 3*c + c) - 4 + 2*c**2 + 4 - 2*c).\nAnswer: 3*c**3 + 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11310 or 11274?\nAnswer: 11274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o**3 + 4*o**3 + 0*o**3)*(1 - 5 + 3)*(2 + 7 - 4) to the form v + n*o**2 + l*o + k*o**3 and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) 0 (b) 40 (c) 1\/12 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**2 - 10*b - 47. Let g be l(-5). Suppose -2*w + 59 = 3*s - 103, 4*w = -5*s + 272. Calculate the highest common divisor of g and s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 12:28 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -78*x + 147. What is a(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*(y\/(y\/((y\/y**(-19))\/y*y)))\/y)\/y))**(2\/47)*((y*y**(-24)*y*y)\/y)\/y*y\/(y**(-4\/17)\/y) assuming y is positive.\nAnswer: y**(-17203\/799)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 481 + -445. What is the greatest common factor of y and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1. Let k(g) = g**3 - 5*g**2 + 3*g - 1. Let s(o) = -5*c(o) - k(o). Let x be s(4). Solve x*t = -4*t - 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 102649 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 213669*n**2*q*r - 77*n**2*r + 2*n**2 + 5*n*q*r**2 + 479*r**2 wrt q.\nAnswer: 213669*n**2*r + 5*n*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -3*r. Suppose r = j + 4 - 16. Suppose 0 = j*g - 7*g - 575. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4008 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 4)*(-19 - 22 + 10)*(-8*p + 10*p + 8*p).\nAnswer: -1240*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32199, 64396, 96593?\nAnswer: 128790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.1625, 2\/7, 876?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -j, -j - 7 = -2*c - 0*j. What is the second derivative of -2*i**2 + 4*i**c + i**2 + i - 2*i wrt i?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (10 + -1 - 14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 18*j**2 + 41*j - 15. Let x be y(20). Solve 0 = -x*w - 0*w + 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 46 and 0.32.\nAnswer: 14.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -6. Let p = 10 + -4. Suppose -p*m = -2*m + 8. Sort -5, g, m.\nAnswer: -5, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 6:18 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -8*t**2 - 8*t + 6. Let n = 1 - -5. Let y(h) = h**2 + h - 1. Let x(u) = n*y(u) + j(u). Factor x(q).\nAnswer: -2*q*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -7 + -16 + 22.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -70, 0.001, 4, 1\/6, -2\/81?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + d = -128. Suppose -d = 3*a - 671. Suppose 5*m - 57 = a. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25703 - 25686. What is the nearest to w in 1, 1\/6, 36, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 5*i + 25. Let o be 42\/(-18) + 23\/6. Suppose 4*y = 3*w + 2*y - 17, 4*y + 4 = -4*w. Which is the nearest to o? (a) w (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 8*n + 8. Let f(s) = 3*s + 3. Let x(v) = 11*f(v) - 4*q(v). Let w be x(4). Suppose h + 2 = 1, 0 = w*m - 5*h - 25. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/15*(-4745)\/(-1898)*(-39 - 1\/(-1))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 4*c**2 - 202912*c - 3247616 = 0?\nAnswer: -16, 50744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -113.3.\nAnswer: 45.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42404518?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -442 - -3610. Does 33 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and -548.577669?\nAnswer: 551.577669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/18)\/(15\/30). Sort 6\/25, s, -1.\nAnswer: -1, s, 6\/25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19359\/14 + 1382. Calculate the common denominator of r and -23\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 10.2. Let c = 11.5 + n. What is c rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 26 = -5*i. Suppose 3*o + i - 46 = 0. Let t = o - 8. Solve -3*c = -1 + t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 56*k - 186. Calculate u(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, 4, -1, -3.\nAnswer: -6, -3, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 - -373\/6. What is the third smallest value in o, -0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jaejejaejej?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 10*c**2 + 16*c - 14. Let q be d(11). Let a = 44 - q. What is g in -7 + g**a + 0 + g**2 + 2*g**2 + 3 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 481.4 + 247.6. Which is greater: 0.03 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**2*f**3*x**2 + 2*b**2*f**3*x + 2*b**2 + 74978*b*f**3*x**2 - 20*b*f*x + b*f - 75*b*x + 2*f**3*x wrt x?\nAnswer: 4*b**2*f**3 + 149956*b*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j + j + 0*j)*(1019 - 1019 - 256*j**2) - 11*j + 11*j - j**3 as k*j**2 + c*j + g*j**3 + f and give g.\nAnswer: 511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.620356 to two decimal places.\nAnswer: -14.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 1441?\nAnswer: 14410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = 4*c - 54, 3*i - 766 = c - 730. Let k(n) be the third derivative of -i*n**2 - 5\/8*n**4 - 1\/20*n**5 + 0*n - 3*n**3 + 0. Factor k(g).\nAnswer: -3*(g + 2)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-21) - (-1)\/((-168)\/(-75)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -369433000 to the nearest 1000000.\nAnswer: -369000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 2*d - 6. Suppose -5*w = 7 + 13. What is h(w)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1978595373 to the power of 1\/2, to the nearest integer?\nAnswer: 44481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -181.41 + 173. Let t = r - -8.6. What is the biggest value in 2\/5, t, -3\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = v + 1177 - 1164, 0 = -7*o - 14 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 569511112?\nAnswer: 2, 71188889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 4404131*o = 4404135*o + 36, -3*y + 10*o = -26 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 + 18 = 2*w + 4*t, 0 = -3*w - 54*t + 10*t + 1458 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + -9. Let t = -12 + f. Calculate the smallest common multiple of t and 99 - 86 - (0 - 3*-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 33*h - 63*h + 726 = -17*h, -c - 4*h = -3*c - 42 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 91.7, -1, 0.07, -0.5, 5\/6, -0.4?\nAnswer: 91.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15567690 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**4 + 1016*b**3 - 140986*b**2 + 2904532*b + 13939440 = 0.\nAnswer: -4, 30, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 988082853.\nAnswer: 3, 43, 59, 197, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 410, 430, 450?\n\"Answer: 20*w + 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -t + 17*t + t as a + n*t and give n.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -46083 > 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 595925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nr when two letters picked without replacement from nnxxr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134, -411, -956, -1501?\nAnswer: -2046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 4*n = 50, 0*n - 4410 = 5*u - n - 4390 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -242aa + -2c9?\nAnswer: -24595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-10)*10\/(-4). Let v(a) = -a**3 - 1. Let y be v(-1). Let m = l + y. Is 0 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -8 - (4 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407353.\nAnswer: 23, 89, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30119?\nAnswer: 30119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 100 - 100. Suppose -6*l = -2*l + 3*o - 147, -l + 4*o + 51 = j. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3621 + 3591. Let m(a) = 2*a + 94. Calculate m(j).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/14, 0.0554, 6?\nAnswer: 0.0554","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 2)\/(-3) + -41. Let x = v - -40. Let f be (36\/204)\/(x - (-2)\/(-4)). Which is the third smallest value? (a) 1\/4 (b) f (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + g**2 + 1. Let a(j) = 3*j**3 - 4*j**2 + 8*j + 7. Let m(x) = a(x) - 4*t(x). Let p be m(-9). Solve p = -s - 3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/12 and 30\/(-38) - 15\/90.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -14. Let z(o) = o - 11. Let f be z(-13). Calculate the remainder when (34\/(-4))\/(3*4\/f) is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 72, 87, 84, 63?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 31 = 3*w + 8, 61 = 5*w + 4*c. Is w >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - t - 4 = -0, k = t + 4. Suppose 2*y - 1 = 5. Suppose 0 = -134*m - 163 + 967. Solve -y*a + 3 + m = k for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 16 - ((8 - 4) + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 656219 to the power of 1\/2, to the nearest integer?\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 2133.57 nanograms?\nAnswer: 0.00000000000213357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7595899369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16 - 7 - (2 + -2)\/(-2). Solve a - j = -4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -377 = 8*q - 601. Calculate the remainder when 68 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(2*r + 3*r - 3*r) + 1 - 1 + 2*r - 3*r - 4*r + 5*r + r + 1 - 1 - 566*r + 182*r - 312*r.\nAnswer: -693*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7842364 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (20\/(-1120)*-2)\/(2\/(-60)) and -93\/230.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260*p - 426*p - 292*p + 674.\nAnswer: -458*p + 674","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -682, -684, -674, -646, -594?\n\"Answer: c**3 - 9*c - 674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.14 - 0.94. What is the second smallest value in 2\/5, -10, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 141 and 893?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 26 = d, 3*j + 38*d - 52 = 36*d for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 29*g - 58. Let d be u(2). Solve -f + 4*l - 2 = d, -3*f + 0 = 4*l - 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 5*i - 4 + 44, 2*g - 4 = -i. Let k(z) = -z. Let h be k(-2). Suppose -g = -h*t + t. Solve -y - 11 = -t*b - 6*y, 0 = b + 4*y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**5 + 74816*l**4 + 3293402*l**3 + 32789692*l**2 - 75758849*l + 39600940 = 0.\nAnswer: -23, 1, 74860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/((-475)\/30)*45\/(-18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 187 - 99. Calculate the common denominator of 670\/h*2\/(-5) and 89\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o + 16*o = -17 - 7. Let x be (0 - 1)\/(2\/(-8)). Suppose 466 = x*y - o*z + 181, 4*y = 4*z + 288. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qiqqqiqqqq. Give prob of picking 3 q.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 1382 = 5*v - m, 5*m + 3577 = 13*v. What is the remainder when 1371 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84627576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is 7103077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/19 (b) 0.11 (c) -3 (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 7:22 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3512597?\nAnswer: 11, 319327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*x - 6139 = -47*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*f**3 - 26*f**3 - f**3 - 2*f**2 - 35*f - 952*f - 518*f wrt f?\nAnswer: -336*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 870304 divided by 4\nAnswer: 217576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24402442 (base 5) to base 13.\nAnswer: 81571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8598\/4299*30\/(-4)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*z + 4*i, 0 = 2*i + 265 - 261. Suppose 5*l + 5*o + 137 = 7, -4*l - 105 = 5*o. Put -1, l, z in descending order.\nAnswer: -1, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -x**3\/6 - 7*x**2\/2 + 9*x. Let r be (39 - 39) + -1*(-26)\/(-2). Let v be q(r). Sort v, -1, -0.4 in decreasing order.\nAnswer: v, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 4) + -1 + -4. Let x be 4 + g + (9 - 0). Suppose -2*o - x = -o. Let u(k) = k**3 + 7*k**2 + 5*k - 5. Calculate u(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + sqrt(13) + 0)*-6.\nAnswer: 54 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/114 and 91\/304.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4759289891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 344763?\nAnswer: -344767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**23*o*o**26)\/(o*(o*o\/(o\/(o**(-1\/2)*o)*o))\/o*o)**(-6\/7))**(-1\/5) assuming o is positive.\nAnswer: o**(-359\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -704, -747, -818, -917?\nAnswer: -1044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*h - 15*h - 1 - 160*h + 49*h - 3*h.\nAnswer: -293*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6)\/(-4 - 7\/(-2))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 44.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -118984*n**3 - 91*n**2 - 2*n - 1. Is h(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19993 divided by 1483.\nAnswer: -19993\/1483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/2615139?\nAnswer: -2\/2615139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - -43?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7580, 30212, 67896, 120632, 188420, 271260?\nAnswer: 369152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100110 + -10110?\nAnswer: -11111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -74 - -104?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 54.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 56164 + 5?\nAnswer: 56202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 50*r**2 + 95*r**2 - 55*r**2 - 9*r**4 + 0*r - r as j*r**4 + a + u*r + k*r**3 + z*r**2 and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.25 - -27.1874762.\nAnswer: 26.9374762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.88 + -0.12. Suppose 0 = 46*h - 45*h - 2*n - 11, -n = 3*h - 12. What is the nearest to r in -1\/2, -4\/9, 0.3, h?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2858\/17 - -168. Let c = -20.45 - -20.39. Is c less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j + 12. Let k be y(-5). Suppose 2*u - 5*a = -3 - 10, -9 = -3*u - 2*a. Sort u, 0, k in ascending order.\nAnswer: 0, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 - -48. Suppose p*w = 3*j + 33, -w - 5*j = -2 - 21. Let q be (-28)\/(-36) - (-2 - (-32)\/w). Which is smaller: q or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/47 (b) -7 (c) 3 (d) 4600 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 2*u - 70, -4 + 48 = 2*g - 4*u. Suppose 2*b - 8 = -0. Let h = b + 0. Solve -h = -3*p - g for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (4\/(56\/(-118)) - -1). Which is greater: 6 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11951*b**3 + 1005*b - 6644*b**3 - 1005*b.\nAnswer: -18595*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -70*t**2 - 9 + 70*t**2 + 2*t**3 wrt t.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 36 + -1075697?\nAnswer: -1075661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 4, 3 in ascending order.\nAnswer: -23, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-6*(2 + 1*sqrt(272) + sqrt(272)*1*-1 + sqrt(272)))**2.\nAnswer: 20736*sqrt(17) + 357696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 100200122 (base 3) to base 16\nAnswer: 1b98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-7))\/(1 + 72\/(-56)). Let m(x) = -2*x**3 + 2*x**2 - 1. Calculate m(o).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*r - 217 + 2131. Calculate the remainder when r is divided by 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 - 27*t**3 - 75.\nAnswer: -27*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*r - 36 = 86*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/63)\/((-4)\/6))\/(76\/(-133))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 891?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c**3 - 2*c**4 + 3150209*c**2 - 3150209*c**2 + 69*c + 1 as y + u*c**2 + k*c + p*c**4 + r*c**3 and give k.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 792 - 421. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2371102 (base 8) to base 12\nAnswer: -275282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-30))\/((2\/2)\/(-2))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 616953.\nAnswer: 3, 205651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/15)\/((-22525)\/(-306)). Do s and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 18 = -2*y, 15 = 2*y - 0*y + w. Let z(g) = 6 + g**2 + 5 - 4*g - 1. Does 18 divide z(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -14 - (-15 - -39 - 19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 - 35. Let m = n - -12. Suppose -70 = m*j - 11*j. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -11220102?\nAnswer: -11220121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + o - 2*o + (0 - 2 + 4)*(-2*o + o - o) - 17569*o - 2 - 24 + 17568*o)*(-5*o + o + 6*o).\nAnswer: -12*o**2 - 52*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65179 - 168487712\/2585. Are q and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 8:37 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -80, -101, -122, -143, -164?\n\"Answer: -21*n - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -20*h**3 - 3*h. Let b(x) = -7*x**3 + 12 - 12 + 0*x - 19*x + 18*x. Determine -8*b(i) + 3*u(i).\nAnswer: -4*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 608 = 27*y + 11*y. Calculate the remainder when 224\/5 + (-4)\/(-20) is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684) - (1 + sqrt(684))**2 - (3 + sqrt(57)\/sqrt(3)).\nAnswer: -688 - 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -1)\/(11\/(-55)). Let t be (-6)\/5*(-120)\/9. Suppose -k - t = -r*k. Put -1, -2, k in decreasing order.\nAnswer: k, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from rjjjjfrfrjjjqqq?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {f: 1, h: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*n*r**3*w**3 - n*r**2*w**2 + n*r**2 + n*r*w**3 - 6*n*r + n*w**3 + 2*r**3*w**2 wrt w.\nAnswer: 42*n*r**3 + 6*n*r + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.162 - 4.036. Which is the second biggest value? (a) o (b) -0.1 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1016a63 - -3?\nAnswer: -1016a60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.23 + -0.23. Let d = -5 + k. Which is the biggest value? (a) d (b) -1 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*3\/(-6) - 288133\/(-34) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*v - 7*v - 7616. Let p = 270 + v. Put -0.5, -2\/5, -17, p in decreasing order.\nAnswer: -2\/5, -0.5, p, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*t + 8. Let f be 0 + t*(-2 - -5). Let j = 358009 + -357949. Calculate the greatest common factor of f and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(-956)\/(-24) + 4. Let x = -111 - s. Let 3 - 3\/2*q**3 - x*q**2 + 3\/2*q + 3\/2*q**4 = 0. Calculate q.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173 - -2.\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -5*k, 1 - 21 = 5*k + 5*g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.5 and 428.\nAnswer: 424.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12210211000 (base 3) to base 10\nAnswer: 114318","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 351*g**3*i**3 - 57851*g**3 + 45*g*i**3 + 3*g*i**2 - 3*g - 2*i**3 - i + 997 wrt g.\nAnswer: 2106*g*i**3 - 347106*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 624562899?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21714 and 5874?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 19.513 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05665700684 - -1501.05680840684. Let w = -1501 + o. Round w to six decimal places.\nAnswer: 0.000151","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1021407 is divided by 169.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 1071559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -i + 2*w - 64, 3*w + 94 = -5*i. Let h = 898 - i. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 3. Let m = -1436.6 + 1440.6. Sort 2\/5, m, v, -4.\nAnswer: -4, v, 2\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 8*t**2 + 19*t + 6. Let u be g(10). Let s(m) = -5*m**3. Let a(f) = 70*f**3. Determine u*a(d) - 55*s(d).\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 24, 2, 622, 5, -4 in decreasing order.\nAnswer: 622, 24, 5, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8 + ((-5)\/2 - 5)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + -1*sqrt(1300))**2 + (0 + (sqrt(104)\/(sqrt(4)*-2))\/sqrt(2))**2.\nAnswer: 20*sqrt(13) + 5217\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 186, 205, 224?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 282 - 28?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7b7 (base 15) in base 2?\nAnswer: 11011010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 479 + -480. Let r = 0.03 + -0.44. Let z = 0.01 + r. Which is the nearest to j? (a) z (b) 2\/15 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/276729 and -61\/2481?\nAnswer: 228854883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -5*a + 26 + 10, 0 = -3*p + 3. What is the lowest common multiple of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*a**2 + 403*a**3 - 84*a - 401*a**3 + 37*a**2 wrt a?\nAnswer: 12*a + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.05, 0.296, 10, 2, 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8688 and 431142.\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + 4*(sqrt(13) + -2) + ((-5*sqrt(325) + sqrt(325))**2 - sqrt(325) - sqrt(13)) + 5 + 5).\nAnswer: -10396 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 424.3886ms in seconds?\nAnswer: 0.4243886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (25 - (-14 - -46)) + -14\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x. Let b(y) = 4*y + 3. Let s be b(-3). Let p = 3 + s. Let m be ((-3)\/p*2)\/(-1). Give i(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**2 - 2*h**2 - 2*h**2 + 4*h**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -99469, -198931, -298393?\n\"Answer: -99462*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15759 is divided by 154.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1690788 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -44 - (-3 + 8 - -2)) + 2 + -9.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) 0.78 (c) -2\/3 (d) -0.41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (77 - 11) + -57 + 47?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times 2669\nAnswer: 53.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1878 - 4.\nAnswer: -1882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*o. Let x(b) = 0 + 3*b + o. Let i(v) = 4*v**2. Determine i(x(p)).\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2421632899.\nAnswer: 7, 79, 4379083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-9))\/(62\/(-2976)). Solve -5 = 5*u + 5*o, -d = 2*o + 2*o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**3 + 9. Let j be v(7). Let l = j - -460. Let d = 853 + l. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5283167167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and (27\/54)\/((-2)\/(-60))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**3 + 2*h**2 - 3*h - 1. Let s(w) = w**3 + w**2 - w. Give -4*s(n) + t(n).\nAnswer: -2*n**3 - 2*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 18*c**2 + 20*c + 45. Let b be t(-17). Let p be 7 + (b\/4)\/(10\/20). Solve 0 = -4*u - p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5877\/4 + -1453. Let j = n - 16. Factor 1\/2 + 0*h**2 - j*h**3 + 3\/4*h.\nAnswer: -(h - 2)*(h + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*c*q**2 - c*q - 3*q**2 + 3*q - 10 wrt q.\nAnswer: -10*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -6 + 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 0)\/(6\/36). List the prime factors of (-6217)\/(-4) - (j - (-115)\/(-20)).\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -224857\/18108 - -4\/4527. Let n = -1517966\/63 - -24094. Calculate the common denominator of c and n.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 13096*r + 78642. Calculate m(-6).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 13*h**2 - 14*h - 2665. Let j(n) = 4*n**2 - 4*n. Determine -c(s) + 3*j(s).\nAnswer: -s**2 + 2*s + 2665","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 2\/3 (b) -50 (c) 4\/7 (d) 1 (e) 71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -32*t**2. Let f(d) = 2351*d**2. Determine f(w(r)).\nAnswer: 2407424*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -5. Let s(v) = 3*v**2 + v - 1. Determine s(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -51*i**2 - 9*i + 7. Let m(a) = 26*a**2 + 5*a - 4. Let p(n) = -5*m(n) - 3*y(n). What is the units digit of p(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2928365463 to the nearest integer?\nAnswer: 54114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 2. Suppose 6*n - 250 = 44. Let o = -99\/2 + n. Put a, o, -4 in ascending order.\nAnswer: -4, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -152775*g*r**2 + 2*g*r + 1172560*r**2 wrt g?\nAnswer: -152775*r**2 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (943\/253)\/(((-5)\/55)\/(-1))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2405, -2549, -2693?\nAnswer: -2837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/7 + 1898560*l\/7 + 11391432\/7.\nAnswer: -2*(l - 949286)*(l + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1261 + -617. What is the highest common divisor of 23 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 4*l**2 + 3*l + 4. Suppose 1 = 4*x + 3*m - 11, 3*m - 6 = -2*x. What is z(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 116*c**5*i + 3*c**3 - 2*c**2*i - 139*c**2 + c*i wrt c?\nAnswer: 6960*c**2*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 44. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.924 less than -1525758602?\nAnswer: -1525758566.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 11*l - 189 = 0. Let n = l + -59. Calculate the remainder when 27 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/20 of a minute?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 592023 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v**3 + v**2 + 2*v + 1. Let p be c(2). Suppose -k + 12 = 2*o - 5, 2*o + 2*k - 20 = 0. Calculate the highest common factor of p and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 336, -8, -1\/3, 0.21, -0.1, -5 in increasing order.\nAnswer: -8, -5, -1\/3, -0.1, 0.21, 336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 32*s**3 - 5*s**2 + 26. Let w(d) = 33*d**3 - 6*d**2 + 27. Let j(v) = -6*r(v) + 5*w(v). Find the first derivative of j(k) wrt k.\nAnswer: -81*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 593*u - u**4 - 599*u + 243*u**2 - 40*u**2 as t*u**2 + h*u**3 + b*u + i + q*u**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -19671 <= -1474?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -125 + 41. Let h = i - -20. List the prime factors of 1450\/15 - 4\/h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 13*f + 33 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (1 - (-4 + 11))) + 6 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, t: 4, d: 6, i: 1}. Give prob of picking 1 i, 2 d, and 1 t.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**5 + 4*z**5 + 0*z**5)*(-2 + 1 + 5) - z**5 - 2*z**5 + 4*z**5.\nAnswer: 9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 15 + 99 = 0. Calculate the common denominator of -47\/6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, q: 2, s: 1, i: 7, a: 1, v: 1}. Give prob of picking 1 a and 1 q.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2184205, 2184154, 2184103, 2184052, 2184001?\n\"Answer: -51*t + 2184256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -113 and 0.5.\nAnswer: -56.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22.4 - -0.6. Let u = 5690.31758 + -5667.31757956. Let q = u - d. Round q to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4bb3a7 + -1?\nAnswer: 4bb3a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 389526507 = 397*a + 11082804 - 16359696. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhmhhmfhhfh. What is prob of picking 4 h?\nAnswer: 126\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118, -133, -156, -187, -226, -273?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**4\/4 - 3*v**3\/4 - 3*v**2\/2 + 15*v. Find o such that y(o) = 0.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 7:24 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*q**2 + 2 - 2*q - 2*q**2 + 16*q**2)*(0 + 2*q + 0).\nAnswer: 124*q**3 - 4*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 - 19*w + 6. Let i be q(-10). Calculate the remainder when 148 is divided by i - (2 + -17 + 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1046 - 1048) + (4 - 9) + 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-2) + (-6)\/(-1). Suppose y*c = -5 - 11. Which is bigger: c or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-6)*-1*2. Suppose o + 20 = 4*d, 0 = 2*d + d - o - 16. Suppose 170*s + d = 171*s. Solve -m + s = -h for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 1:30 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, s: 10}. What is prob of picking 2 g and 2 s?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a**2 + 23*a - 3. Let k be s(-6). Suppose -4*z + k = -17. Suppose -z*f = f - 60. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13900427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, y: 4, j: 2, f: 4, r: 3, o: 3}. Give prob of sequence ffyj.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 79047973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1463875 is divided by 242?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 42\/35)*115120\/(-12). Let x = h + 1669296\/145. What is the common denominator of x and -12\/35?\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12, -38, -64, -90, -116?\n\"Answer: -26*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 135557*h**3*q**3 - 5*h**2*q**3 - 9416*q**3 wrt h.\nAnswer: 813342*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2836, 0, -2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 43*w - 103. Give b(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-23)\/(-5) - (18\/30 + 0). Solve 2*b**2 - 2*b**4 + 0*b**2 + 7*b**3 - 3*b**3 - j*b + 0*b**3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**2 - o + 2. Let i be s(2). Let z be i\/10*10\/4. What are the prime factors of 17 - ((-3 - -3) + z)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + t + 30, 2*v + 3*t = 5*v + 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -5 (c) 2.29 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.04 and -0.985908257?\nAnswer: 0.945908257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-854)*((-32648)\/(-159))\/(-88).\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*v - 15. Suppose v*c + c = 120. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2965 and 4744?\nAnswer: 23720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one twentieth of a kilogram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 135594 to the power of 1\/2, to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 - 1 - (110 - 60)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 138, 161, 186, 213, 242?\n\"Answer: d**2 + 20*d + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, n: 2, o: 3, y: 3, i: 1, c: 6}. What is prob of picking 1 r, 1 o, and 1 c?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 4 - 0. Suppose 0 = v - w*v + 51. Let k = v - 0. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-22) - 92\/22. Let u = -2 - m. What is the units digit of ((-15)\/45)\/(u\/(-24))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 18*c - 12. Let j(r) = r - 1. Give 5*j(v) - n(v).\nAnswer: -13*v + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39 and 36.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 - 0.2. Let z = 718 + -716.8. Which is the biggest value? (a) 0.3 (b) z (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*d**3*i**2*l**2 - d**3*i*l - d**2*i**2*l**2 + 3*d*i**2*l + i**2*l + 11*i**2 wrt l.\nAnswer: -26*d**3*i**2 - 2*d**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 1)\/(2\/6). Suppose -a = -n + 5. Calculate the highest common divisor of 32 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 7)*6\/117.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 4 - 1 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/1601224 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - 32. Suppose j*d = -8 + 23. Calculate the greatest common divisor of 5 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 260, -2, 7 in descending order.\nAnswer: 260, 7, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 2\/11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*s - 2796, 2217 = s + 3*s + 5*t. What is the highest common factor of s and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*m**4 + 21*m**4 - 4*m**4 + (-1 + 2*m**2 + 1)*(0*m**2 + 2*m**2 - 3*m**2) + (-4 + 0 + 5)*(-m**4 - 2*m**2 + 2*m**2).\nAnswer: 5*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001111000111 + 10100000010011?\nAnswer: 1010001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/((-3 - -9)\/2). Let d = 5 + q. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19978651291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9201 - -19390. What are the prime factors of b?\nAnswer: 23, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48695 is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -337, -332, -323, -310, -293, -272?\n\"Answer: 2*z**2 - z - 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*f**3*n*x + 33*f**3*n - 61*f**3*x - 510*f**2*n*x + f**2 + 2*f*n*x + 9*n - x - 4 wrt f?\nAnswer: -78*n*x + 198*n - 366*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j + 1. Let k(g) = 1. Let x(a) = k(a) - s(a). Let o(u) be the third derivative of 0*u + 0 + 0*u**3 + 0*u**4 + 1\/30*u**5 + u**2. Determine x(o(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -18*-8*(-3)\/(-27). Let j = 9 - 4. Solve j*r = 4*x - u, 7*x = 2*x + 3*r + 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 0)*-2 + 2. Let a = -1 + h. Solve a*w = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q. Let b be v(-2). Let r(l) = -l**3 + l**2 + 6*l + 4. Let h be r(b). Calculate the highest common divisor of 15 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 1:18 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -105*x**2 + 1. Let a be j(1). Let m = 192 + a. Does 18 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -y**3\/3 + 3*y**2 - 3*y - 3. Let f be k(5). Solve -5*w - 8 = x + 6, -f*x = -4*w for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 525 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*y. Suppose -9 = -l - y. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*a + 3*c + 16 = 0, 4*c + 229 = -3*a + 84 + 100 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/((-8750)\/(-11445)) - (-4 + 44\/10)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5*(-4*sqrt(425)*-1 - -1*sqrt(425)*6))**2.\nAnswer: -1500*sqrt(17) + 1062509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57 - -7. Let g = b + 75. Suppose -g = s + 4*s. Let v(i) = -i. What is v(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36559?\nAnswer: 36559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -10*f**2 + 2*f - 4. Let j be p(3). Let m = -349\/4 - j. What is the closest to -1 in m, -0.5, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -1)\/((-1)\/(-6)). Let g(v) = -v**3 - 5*v**2 + 6*v + 8. Let c be g(o). Suppose -c*j + 15 = -5*j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 2*q - 13, 2*o - 14 = -0*o + 4*q. Let g be (o - 2) + -2 + 4. Is g greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42344 (base 15) in base 3?\nAnswer: 101200001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64545.\nAnswer: 3, 5, 13, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkktmtkkmm. What is prob of picking 1 t and 3 k?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 828.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 983.\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 282, 502, 722, 942, 1162, 1382?\n\"Answer: 220*o + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 140416500 to the nearest one hundred thousand.\nAnswer: 140400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 218 + 7. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.59199ml in litres?\nAnswer: 0.00859199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 789.04 less than -7975?\nAnswer: -8764.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -429, -789, -1151, -1521, -1905?\nAnswer: -2309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 37 in 2, 1\/3, 0.2, -0.6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 84*d**3 - 14*d**2. Let i(z) = 43*z**3 - 8*z**2. What is 7*i(h) - 4*m(h)?\nAnswer: -35*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1564 - -1103. Let k = f - -466.01. Round k to 1 decimal place.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0806213 times -0.5?\nAnswer: -0.04031065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -320 - -318 - (6\/21 + (-954)\/399)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 17948?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/248 and -43\/5642.\nAnswer: 22568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10211 - -31250. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 1278 = 6*f - 7*f, 2*f - 2611 = -3*b. What is the highest common divisor of 590 and f?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (22 - (-1 + 1)). Let s(i) = -i + 4. Let k be s(4). Let z = k - m. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 - 21\/2 + 44*f - 15\/2*f**2.\nAnswer: -(f - 3)*(f + 7)*(4*f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -135431640?\nAnswer: -135431634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 48*t - 21*t - 23*t)*(83 - 11*t**2 - 83) in the form v + b*t**2 + m*t**3 + x*t and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/10*-4*-15. Suppose -x*t + 2*t = -8. What is the third derivative of 0*d**3 + 4*d**2 - 5*d**t + 3*d**3 wrt d?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181171 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 36275682 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1.6, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.1422 rounded to 1 dp?\nAnswer: -20.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 254 - 126. Is 16 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*k - k**2 + 27*k**2 + 98*k.\nAnswer: 26*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 420616666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36414, 8, 1, 55 in decreasing order.\nAnswer: 36414, 55, 8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**3 - 2*k**2 - 4*k - 9. Let t be o(3). Solve -t = -2*g - 23 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h*v**3*x**2 + h*v**3 + h*v**2*x**2 - h*v**2 - 3*h*v - 2*h*x**2 + 18*v**3*x + 985*v**3 + 2*v**2 + 89*v wrt v?\nAnswer: 12*h*x**2 + 6*h + 108*x + 5910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1869664 millimeters in nanometers?\nAnswer: 186966.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*3\/(-18)*2. Let q = 0.44 + -0.44. Let r = -3 + q. What is the third biggest value in r, 1\/2, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, s: 14}. What is prob of picking 1 j and 2 s?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 12 = -3*a - 5*f, -5*f - 11 = -4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -30, -51, -60, -45, 6, 105, 264?\nAnswer: 495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/(-70)*357\/(-9) and 71\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 35 = 29 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226*u**3 + 4*u - 4*u + 268*u**3.\nAnswer: 494*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2488 divided by -2488?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a day in minutes?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -264 != -264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*x = -a - 40, -4*a + 8 = -3*x. Solve 8*s - 12 = a*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444400067?\nAnswer: 61, 7285247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6245\/6 - -1037. Let z be 20\/(-6) - (-10)\/(-15). Are z and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 233792 and 12128.\nAnswer: 88607168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -8 + 9*l - 3 - 20 + 4. Suppose 0 = 2*y + y - 39. What are the prime factors of o(y)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5313, 20896, 46861, 83202, 129913?\n\"Answer: -n**3 + 5197*n**2 - n + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 14*y + 12. Let f be j(-1). Let g be f*3*-5*2\/10. Let s(l) = l**3 + 5*l**2 + 4. Let a be s(-5). Solve a = o + g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 11*m + 12. Suppose 4*r = r + 30. Let u be l(r). Find the second derivative of -4*z - u*z + z**4 + 3*z wrt z.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 74682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -66*x**2 + 20*x + 10. Let p(z) = 46*z**2 - 14*z - 7. Let d(b) = -7*n(b) - 10*p(b). Let v(g) = 89*g - 22. Calculate d(v(a)).\nAnswer: 15842*a**2 - 7832*a + 968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - c - 15 = 0, -4*c = -4*w + 13 - 1. Suppose 2*f + 0*f = s - 5, w*f = -3*s + 6. Suppose d + 3 = 1. Is d < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 37423, 37430, 37437, 37444?\n\"Answer: 7*x + 37416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78205\/16 - 4890. What is the common denominator of 6\/(-4)*(-1602)\/(-216) and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/98 and -13\/2580.\nAnswer: 126420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = n - 3*t, -8 - 34 = -5*n + 4*t. Suppose -y = -2*o - n, 0*y - y + 3*o + 8 = 0. Let d be (-3)\/(-5) - (-4)\/10. Solve -d = -y*q - 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b = 19 + 47. Solve -b*t + 15 = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + 10. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*b + k + 2*k, 20 = b + 3*k. Let v = 72 - 0. What is the highest common factor of b and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -256*w**3 + 15*w**2 + 3*w - 10. Let m(j) = 128*j**3 - 9*j**2 - 2*j + 6. Determine 3*i(q) + 5*m(q).\nAnswer: -128*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312*q = -311*q + 33. Suppose -4*n - n - 170 = 0. Is q bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*q - 2*l, 0 = -3*q + 4*l - 9*l + 6. Sort q, 13, -9, 0, -5 in ascending order.\nAnswer: -9, -5, q, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 109 = 5*o, o - 5*o - 85 = -5*v. What is the remainder when 644 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**2)*f**(-2\/7)*(f*f**0)**(10\/7))\/((f*f**(-1)*f*f*f)\/(((f*f*f\/f**(-5)*f)\/f)\/f)*((f**(-1)\/f)\/f)\/(f*f**(2\/9))) assuming f is positive.\nAnswer: f**(464\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**46*v*v)\/v)\/(v*v*v*v*v\/v**15) assuming v is positive.\nAnswer: v**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z - 1. Suppose 0 = -3*r + 11 - 8. Let v(y) = y**3 - 6*y**2 + 24. Let t be v(5). Let u(i) = -i**2 - 2*i - 1. What is r*g(m) + t*u(m)?\nAnswer: m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 22*k - 9. Let m be a(-11). Let v = m + -75. List the prime factors of v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from lglglluullllull.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10912738 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.14 + -0.07. Let k = f + -7.07. Let j = -1.24 - 3.76. Which is the second smallest value? (a) k (b) j (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 551359489?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202625*y - 201219*y + 606448*y - 202617*y.\nAnswer: -13*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20392.\nAnswer: 2, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v - 52*v**2 - 152*v**2 - 294*v**2.\nAnswer: -498*v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pcphhcdpcphhpp. Give prob of picking 1 p, 2 h, and 1 d.\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 5*t**4\/4 - 35*t**3\/3 + 20*t**2 + 80*t - 1. Factor b(p).\nAnswer: 5*(p - 4)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -100357*v**3 + 3*v**2 - 570*v - 2 wrt v.\nAnswer: -602142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 61?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 6:57 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 24. Suppose 2*q = -0*a - 5*a + 363, 5*a - f*q - 343 = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((13 - 4) + -4 + -9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 13, c: 3, j: 1}.\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4320359?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 2, 0.41, -2\/9 in increasing order.\nAnswer: -2\/9, 0.06, 0.41, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 55343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.995 - 0.005. What is the second smallest value in x, -1\/2, -0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*10*10\/(-25)*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (-15)\/(-3) - (-1 - 3). Suppose z - 1 - 4 = 0. Suppose -z*l - n*l = -2*l. Solve l*o - 5*o + 20 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 776 is divided by 154.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.1 - 2. Let w = -0.25 - 0.05. Let s = d + w. Which is the smallest value? (a) s (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z = -13*z - j + 4, -469 = -z + 2*j - 456 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**4 + 0*t**4 + 3*t**4 + (0*t**2 - t**2 + 3*t**2)*(-2*t**2 + 2*t**2 + t**2) + (0*t + 0*t - t)*(-19*t**3 + 9*t**3 + 3*t**3).\nAnswer: 11*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 17, 52, 101, 164, 241?\nAnswer: 332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11001 (base 3) to base 11\nAnswer: 9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25925617 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 425 (base 15) to base 3.\nAnswer: 1021122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + 21 - 21 + v + v - 4*v + (1 - 1 - 2)*(-3*v + 3*v - 2*v) - 2*v - 2*v + 5*v + 2 + v - 2 - 7*v + 3*v - v + (4*v - 4*v - v)*(3 + 0 - 1).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/13873 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 + -28. Suppose -6 = -4*i + f. Suppose -i*q + 32 = 2*d, 0*q - 3*q - 80 = -5*d. Calculate the remainder when d is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/10*5*-5. Is (-324506)\/(-35) + (p - (-112)\/(-20)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 378687 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 127022 - 127008. Suppose -2*f + 10 = -0. Let s = 7 - f. Solve 2*a - 4*t - u = 0, 0*a - s*t - 6 = -2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (159\/795)\/(1\/35)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3369829300 rounded to the nearest one million?\nAnswer: -3370000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/915, 5\/213, 2\/9, -1, -5\/3 in ascending order.\nAnswer: -5\/3, -1, 2\/915, 5\/213, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2 - u + 0 + 2 - 1. Let x(z) = -4*z**2 - 10*z - 20. Let a(j) = 2*v(j) - x(j). Let o be a(-10). What is o rounded to the nearest ten?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 722, -112 in increasing order.\nAnswer: -112, -1, 1, 722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 3\/(-12)*2. Let y = -1737 - -1732. What is the third biggest value in -2\/3, 5, y, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(832) + -5 + (sqrt(832) - (sqrt(832)*1 + 0)))**2.\nAnswer: -160*sqrt(13) + 3353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lglwj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c**2 + c. Let i(k) = 7*k**2 + 120*k + 24. Let o be i(-17). Let s be ((-2)\/14)\/((-8)\/o + 1). What is z(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 7:03 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*j + 22 - 5, -2*j = 2*b - 10. Suppose 174 + 102 = -j*h. Let o be 3\/(-4) - h\/12. Solve 2 = -o*k + 17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00065581 rounded to five dps?\nAnswer: -0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111222*l**2 - 58921*l**2 - 52305*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.39 - -0.09. What is the nearest to -2 in 3, -0.6, m?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*i = 20. Suppose 0 = -3*w + 4*h + 4, 4*w - 2*h = -7*h - 5. Solve w*d + i = 4*a + 2*d, 0 = -d - 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/2475 and -37\/1800.\nAnswer: 19800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 272669?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66451.76207 - -66451. Let y = -0.757 - d. Round y to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8620441329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60627 divided by 10.\nAnswer: 60627\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 + 17*l + 10. Let i be (-402)\/42 + 3\/(-7). Does 4 divide b(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 8:11 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 16*c + 67. Let w be p(-4). Is 31 a factor of -5 + (5 - w\/1*-372)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*y = -147 - 33. Sort 1, y, -2, 11, 3.\nAnswer: y, -2, 1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12013130 (base 4) to base 3\nAnswer: 1021100212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -1\/6*s**3 + 6*s**2 - 1 + 1\/12*s**4 + 9*s. Let k(l) be the first derivative of y(l). Give k(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 8*l + 16. Let c be p(10). Let x = c - -5. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of a**4\/4 + 8*a**3\/3 - 6*a**2 - 13*a - 1. What is the units digit of z(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h + 0*h - 2 - 3*h + 3. Let j be v(-7). Let b = j + -4. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24525994 by 12262997.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + 12 + -7 + (-3 - (-6 + 10)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 11*n + 168. Let p be s(-15). Which is the nearest to 0? (a) -4 (b) -2\/11 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 47*t - 269. What is the lowest common multiple of 233 and y(-40)?\nAnswer: 2563","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**5 - 9*a**4 + 6*a**3 + 18*a**2 - 3*a - 9 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*j + 136*j = 278970. What are the prime factors of j?\nAnswer: 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3345 - 61265?\nAnswer: -55720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwwpqqwzwwzwwzwvzz. Give prob of picking 2 z.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 356 and 5251?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 158 or 10818?\nAnswer: 158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/4 + -3)*168\/(-70).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -410.9681 + 411. Let q = f + -0.038. What is q rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 297*-49.\nAnswer: -14553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -17, -188, 0.4, -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 696992189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c + 25*y = -196, 2*c + 112*y - 31 = 115*y for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -7, -12\/13, -3, 31\/7, -2\/5, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -75 - -105. Suppose -i + 0*i + 4*a = 15, 3*i + 3*a = m. Solve 4*p = -i*o - 11, -2*o - 3*o - 5*p = 15 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5d8 (base 16) in base 9?\nAnswer: 2042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 4*d - 8 = 0, 2*d = 5*i + 569 - 613 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 j when three letters picked without replacement from bfspsttbpjst.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 533503 - 450521?\nAnswer: 42542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/(7854\/(-34)))\/((-24)\/(-70)).\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 103 = 101. Let p(t) be the first derivative of -3*t**4 + t**2 - t - 139. What is p(x)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -5, -88, 0.81?\nAnswer: 0.81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 899516*z**3 + 899518*z**3 - 7.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -304*s**3 - 430*s**2.\nAnswer: -1824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4*g = -2*y, -2*g = -4*y. Suppose y = -w + p + 165 - 52, 0 = 5*p - 25. Is 22 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -590444*x + 590441*x + 40 - 10 = -5*s, 0 = -4*s + 18*x - 24 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1250747*k**2 - 12*k - 32614*k**2 + 12*k.\nAnswer: 1218133*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-196)\/70 + 3)\/((-12)\/100)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 115*z + 765. What is d(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/120913 + -74702\/17774211. Which is greater: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04810386 to three dps.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 327 - 333. Let r be 1 + (18\/14 - 2). Which is bigger: r or h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 8638372\nAnswer: 3\/8638372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*g**2 + 18*g**2 + 113*g**2 as v*g**2 + y + i*g and give v.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*s**2 + 113 - 223 + 21*s - s**2 + 42.\nAnswer: -(s - 17)*(s - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 314992322.9 to the nearest 100000.\nAnswer: 315000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 49692355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*c + 2944 + 286 = 0. Let f be (-20)\/(-2) - (-77 - c). What is z in 38\/11*z**3 - f*z**2 - 26\/11*z**4 + 4\/11*z + 6\/11*z**5 + 0 = 0?\nAnswer: 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 5*y + 4. Let w be v(-3). Let r be -4*3\/60 - w\/10. Round r to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 23. Let m(t) = t**3 - 4*t**2 - 6. Let j be m(5). Suppose j = -a*r + 4*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 452474, 904946, 1357418, 1809890, 2262362?\n\"Answer: 452472*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414 is divided by 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5611*h**2 + 6538*h**2 - 1 - 20003*h**2 + 6433*h**2 + 1.\nAnswer: -1421*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2551407 at most 2551379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v. Let f(b) = b. Let c(w) = 3*f(w) + r(w). Let j(l) = l**2 - 2. Let y(u) = 4*u**2 - 2 + 7 - 7*u**2. Let d(a) = -5*j(a) - 2*y(a). Determine d(c(h)).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 129980 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -8. Let d(t) = 2*t**2 - 29*t + 16. Let y be (7 + -1)\/12*28. Calculate the smallest common multiple of c and d(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 487321897?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -12712 at most as big as -12713?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 80630.58 decades?\nAnswer: 9675669.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 13) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014911 rounded to three dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -0.586597.\nAnswer: -0.586597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 57. What is the remainder when 138 is divided by i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4\/15 of a minute?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3318.73km?\nAnswer: 3318730000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16508 - -16356.41. What is o rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 102 and 0.5?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a hour in seconds?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 3*u - 16. Let i(b) = b**2 - 4*b + 16. Let f(c) = -5*i(c) - 4*w(c). Let r be f(4). Let x be 1\/(-2 + 3) - -3. Solve r = -y + x*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 174*f + 4*f**3 + 194*f - 372*f - 2 + 4*f**2 - 3*f**3. Give v(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*m**3*v**2 + 35783*m**3 + m**2*v**2 + 660*m*v**2 - m*v + 7*v**2 - 55*v wrt v?\nAnswer: 20*m**3 + 2*m**2 + 1320*m + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-414)\/(-22) + (-4)\/(-22). Suppose 3861 = n*m - 6*m. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {n: 1, s: 1, x: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 637, 1160, 1683, 2206?\nAnswer: 2729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -39.25 and 3.\nAnswer: -36.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6}. Give prob of sequence www.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6*z**2 - z**2 - 14*z - 2*z**2 - 36. Does 12 divide k(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*q - 22*q + 71*q = 92*q + 12141 for q.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 107.79117 months?\nAnswer: 0.089825975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m - 6 + 3 - m + 4 - 357*m**3 + 363*m**3 - 2*m**4 to the form f*m**4 + g*m + h*m**3 + k + r*m**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*p - 2 - p + 6*p - 4*p + (1 + 0 + 3)*(p - 2*p - p).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 28 (b) 4 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 2*z - 7*z + 728, 5*a - 4*z = 574. Solve 2 = -2*i, -11 = -116*o + a*o + 5*i for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2. Let d(k) = 11*k**2 + 13*k - 40. Let l(s) = -d(s) - 5*t(s). Give l(-16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -5 + 78 + -74?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 19) + (3 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v - 12. Let r be y(-8). Suppose r = -3*t + 7*t. Solve 11 + 4 = -t*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -3)*4\/(-6). Let r be (5\/p)\/(2\/(-4)). Suppose 2*n + 42 = r*m, 0 = n + 1. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -126 + 262. Suppose -3*w - 780 = 2*r - 792, -2*w + 4*r + 40 = 0. What is the greatest common divisor of w and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3376 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (21\/(-4))\/(12\/(-32)). Solve 4*f = 6 + y for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(63)\/sqrt(3))\/sqrt(3) + ((sqrt(42)\/sqrt(2))\/sqrt(3) - sqrt(84)\/sqrt(192)).\nAnswer: -2 + 7*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 11:51 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 5. Let s be l(7). Let n be -1*s*(-20)\/8. Solve n*h - 12 - 8 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9747 and 247285.\nAnswer: 6676695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -171*p**2 + 5054*p + 42858706 wrt p.\nAnswer: -342*p + 5054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1616747328.\nAnswer: 2, 3, 7, 17, 103, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2895\/2316)\/(370\/(-16))?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/10 and 65\/132.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2c6 (base 13) to base 7\nAnswer: -1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 5*b**2 + 5*b + 2. Let v be d(4). Let z(f) = -2*f**2 + 0*f**2 + 2 + 5*f**2 - 6*f - 2*f**2. Calculate z(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-11)\/(t*((t\/t**(-9\/4))\/t)\/t))\/(t**(-8))**(-17) assuming t is positive.\nAnswer: t**(-597\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/(j\/(j\/(j\/j**(1\/3)))))\/j)**(1\/7))**(2\/125) assuming j is positive.\nAnswer: j**(2\/2625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22002011 - -2211202210?\nAnswer: 10010211221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 18*k - 18. Determine g(18).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 9*c + 6. Let q = 6 - 12. Let o be n(q). Calculate the remainder when 23 is divided by (9\/(-2))\/(18\/o).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -62 * -7.\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*1310397.\nAnswer: -524158.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*1435573.\nAnswer: 287114.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dxq when three letters picked without replacement from {x: 2, e: 1, p: 3, d: 4, q: 9}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, g: 2, j: 5, p: 6, a: 2, x: 1}. What is prob of sequence gaa?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - 6*38\/(-3). Suppose -k + 5*k = y. Suppose 1386 = -k*f + 25*f. 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 d(p) = 3818*p**3 + 2*p**2 - 5*p + 3. Let c be d(6). Let m = 10224733 - c. What is m rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - j**2 + j. Let w(z) = 6*z**3 + 3*z**2 - 3*z. Suppose 0 + 2 = -2*a. Suppose 11*q = 16*q + 15. Determine a*w(c) + q*v(c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 337728*u**5 - 390975*u.\nAnswer: 6754560*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -83125 or -83089?\nAnswer: -83125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3440491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 43248537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q + q = -5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, a: 14}. Give prob of picking 3 h and 1 a.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-9))\/((-168)\/315)*(-24)\/(-250)\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 111 + 16*w**2 - 1\/3*w**3 + 221*w. Differentiate a(u) wrt u.\nAnswer: -2*u + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 10) in base 6?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-14))\/(21\/(147\/(-10))). Let i = 22 - 71. Let u = 58 + i. Sort u, 0.4, 2, m.\nAnswer: m, 0.4, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 6:20 PM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 629 = -5*c - 1484, 4*j - 4202 = 2*c. Suppose -2*d + 75 = -2*y + j, -d = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*j + 20 = -136. Let r be 120\/2*(-1023 - 2)*j. What is r rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 0*i + 0*i**3 - 3*i**2 - 1\/24*i**4 + 0. Calculate r(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*g = -22. Suppose 9*u = -1555 + 5767. Suppose -12*k = -300 - u. Calculate the remainder when k is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -136, -147, -156, -163, -168, -171?\n\"Answer: d**2 - 14*d - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 8*n**2 + 4*n - 5. Let d be w(8). Suppose -3 = 5*b + d. Let m be (-5 - (b + -1))\/(-2 - -4). Solve q - 3 = m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2516 - 2*c + 18*c**2 + 2516 in the form t + p*c + v*c**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3833, 4197, 4549, 4883, 5193, 5473?\n\"Answer: -a**3 + 371*a + 3463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.7 - -2.2. Let x = 0.02 - -4.98. Let g = 18170.3 - 18170. Put q, -1\/7, x, g in ascending order.\nAnswer: -1\/7, g, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 953399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 5*r + 24 = r, 4*r = -w - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -147 - -131.1. Let r = -2.433 - 4.567. Let w = o - r. Round w to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -458995*x**2\/2 - 50*x + 3. Let j be p(10). Round j to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 591 = 6*z - 405. Let p = 71 + z. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1120 and 600?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1865813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 39601183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2041226 = 8381*g + 16512*g for g.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 749262 is divided by 234.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.9 and 252084?\nAnswer: -226875.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 1. Suppose -m - u = -6. Suppose -4\/3*g + 0*g**m + 2\/3 - 2\/3*g**4 + 4\/3*g**3 = 0. What is g?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((0 + sqrt(405))*-4 + sqrt(405) + sqrt(405)*1 + sqrt(405) + -4 - 4*(-1 + sqrt(720) + -5*(0 + sqrt(5) - sqrt(5))))*5)**2.\nAnswer: 10153125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 203 - 34. Let i = j + -92. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241595*w + 19*c - 57 = 241595*w, 2*w = 2*c - 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2889\/386 + 3\/193. Let s be 1 - 218\/(-28) - 1. Let j = s - o. Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1003023 is divided by 1002961.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/7 + 386*v\/7 - 1576\/7.\nAnswer: 2*(v - 4)*(v + 197)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-45)\/12)\/((-2)\/60). Which is bigger: g or 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1187.2 + 1193. Are -1\/4 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, a: 2, y: 1, i: 2, b: 1}. What is prob of sequence aii?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -317207, -1268925, -2855121, -5075795, -7930947?\n\"Answer: -317239*v**2 - v + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 5*z - 2 + 58*z**2 + 5*z. Let p = -3035 + 3037. What is the units digit of g(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 1343*s**2 - 43*s + 205. What is the thousands digit of l(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 d when three letters picked without replacement from cddeuyyhhyuc.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.517*-0.3\nAnswer: -0.1551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2624 and 15618335?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/158825025 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -28173 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 3*v**2 - 2. Let o be (-6)\/(-1) - (7 - 3). Let n be (-20)\/25*(-5)\/o. Suppose -12 = -f - 7*t + n*t, 5*t = -3*f + 6. What is l(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320 = -5*g + 2*b, g = -4*b + 29 + 57. Let t = 97 + -17. Suppose -4*q - 12 = -t. What is the remainder when g is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/14 + (-108)\/(-84) + 6. Suppose -w*h - 517 + 1763 = 0. Does 42 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 549313?\nAnswer: 549313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 6, -3237, 3 in decreasing order.\nAnswer: 6, 3, -11, -3237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2621778 (base 9) in base 16?\nAnswer: -15d871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11011011101011111000101 (base 2) to base 14\nAnswer: -d555c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 2*b**3\/3 - 1056. Let c(p) = 57*p**2 + 11. Determine h(c(i)).\nAnswer: 6498*i**4 + 2508*i**2 + 242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 169 and 28561.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.1 * -0.7.\nAnswer: 1.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*l + 49 = 0, 0 = 2*r + 4*l + 5 + 1. Let j = r - -13. Suppose j*o - o - 6 = 0. Calculate the lowest common multiple of 10 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/6*-6 + 71. Calculate the highest common divisor of 111 and f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13175345?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 52705\/16*(2 + 0). Let a = s - 6578. Let d = 1361\/60 + -1\/60. Find the common denominator of a and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -y**4\/12 + 2*y**3 + 13*y**2\/2 + 41*y. Factor x(s).\nAnswer: -(s - 13)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171254552.\nAnswer: 2, 7, 43, 71119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -371*k**3 + k**2 - 2*k + 2. Let n be v(1). Let z = n - -410. Solve 0 = 6*b - 16 + z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1925 times -0.23\nAnswer: -0.044275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 4*d + 138 - 30 = 0, -6*p + 49162*d - 49159*d - 116 = -2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 - 9*r. Let z(p) = 31*p - 6*p - 9*p - 15*p. What is z(x(h))?\nAnswer: 2*h**2 - 9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.052067 to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z - 10 = 11*z. Solve 0 = -z*o + o - 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 7*l**2 - 7*l - 10. Let o be b(-7). Let h be (-1)\/3 + 13\/o. Suppose 4\/5*c**2 + h*c - 2\/5*c**3 + 0 = 0. Calculate c.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.0911797 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.2614 + 0.0766. What is q rounded to one dp?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*f + 48*f**2 - 955*f**3 - 949*f**3 + 1904*f**3 - f**4 + f in the form q*f + w + x*f**2 + z*f**3 + b*f**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2864.3 + 3399. Let n = x + -535. What is the biggest value in -1\/2, -2\/9, -1\/5, n?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-500)\/(-420))\/(5\/3)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from occizuiiiz. Give prob of sequence izz.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + 112 - 2\/(-4)*-2. Let f = -59 + u. List the prime factors of f.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 4:36 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 631 is divided by 106?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16225, -16469, -16723, -16993, -17285?\nAnswer: -17605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -96.3612 - 135.6617. Let l = -580 - -812. Let q = p + l. What is q rounded to three decimal places?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/150)\/((-22)\/4). Let j = s + 131\/165. Factor 4\/5*d**2 + 2\/5*d - 2\/5*d**5 + 0*d**3 - j*d**4 + 0.\nAnswer: -2*d*(d - 1)*(d + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*d + 278*d - 134*d = -153 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31900 - -54800. What is w rounded to the nearest one thousand?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 43, 12, -31, -86, -153, -232?\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**3\/3 + m**2\/2 - m + 66. Let u(d) = -6*d + 2. Let t(a) = 2*k(a) + u(a). Suppose t(s) = 0. Calculate s.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3415\/(-10)*(-522 - 10)\/14 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.10486243 * -5.\nAnswer: 0.52431215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 562 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n**2. Let i(d) be the second derivative of 11*d**4\/12 + 7*d. Give i(x(f)).\nAnswer: 176*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22304 by -11152.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -4*g - 143996, 2 = -3*g + 5. What is a rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 1470\/(-4)*142\/(-355).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 586 - 8201\/14. Which is smaller: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 61, 3\/19 in ascending order.\nAnswer: 0, 3\/19, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -b - 7, -2*w - 4*b = b + 23 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 356*n - 37734. Determine i(106).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and 0.10488.\nAnswer: -4.89512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4437562 or 0?\nAnswer: 4437562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3333\/37 - -1123181\/12432. Find the common denominator of m and 29\/160.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71821219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-5 - -4 - -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 0*y**2 - 3\/2*y**3 - 5\/21*y**7 + 0*y**6 + 0 + 5*y + 0*y**4 + 0*y**5. What is the second derivative of f(t) wrt t?\nAnswer: -200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44*v - 140 + 140 + (-16*v + 8*v - 14*v)*(-2 + 1 + 2) - v + 3*v + 0*v.\nAnswer: -64*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-33)*(-23)\/92?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51424 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3752210256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 59050.\nAnswer: -1\/59050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (-33)\/26 - 1. Let b = w + 51\/286. Which is smaller: 2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 70 = -5*h + 3*a, 3*h + 42 = -a. Which is smaller: -16 or h?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 18. Suppose -3*a + 66 = 3*r, -m*r = 3*a + r - 62. Calculate the remainder when a is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*l - l = -766, 5*g + 3*l - 3814 = 0. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*g + 94*g + f + 49 = 0, -4*g + 5*f - 43 = 0 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37\/4 + -10. Does t = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3692726 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/(1968\/(-47232)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + v**2 + v**2)*((3 - 2 + 1)*(-3*v + 0*v + v) - 6 + 6 - v)*(3*v - 5*v - 6*v).\nAnswer: 80*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -211 - -295. Suppose -4*z = -2*z - d. What is the highest common factor of z and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6.5722 and 0.4.\nAnswer: -6.1722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 4*v**2 + 3*v - 30. Determine k(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + i + 22. Let k(r) = -r**2 - r - 23. Determine -3*k(t) - 4*l(t).\nAnswer: -t**2 - t - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7946359.2 nanoseconds?\nAnswer: 0.000002207322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 123, 364, 727, 1212?\n\"Answer: 61*k**2 + 58*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 3*y + 1. Let r be x(2). Let p(f) = 6*f + 3. Let o(h) = -13*h - 6. Let q(m) = r*p(m) - 4*o(m). Calculate q(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 - 601892*t + 5417194. Give n(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**3\/l**(-8))**15*(l**(-1\/4)*l*l\/l**(-7))\/(l**(3\/4)*l\/(l*l**(5\/2)*l*l*l)) assuming l is positive.\nAnswer: l**(357\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 2893 = -744. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 53*f**2 - f + 1. Let u be t(1). Suppose 1635 = 26*q + 361. Let g = q + u. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -17*h**3 + 9*h + 4. Let k = 6 - 12. Let o = -114 + 101. Let n(m) = 8*m**3 - 4*m - 2. What is k*i(q) + o*n(q)?\nAnswer: -2*q**3 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 7*y + 16 = 0. Calculate the remainder when 10 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (3 - 5 - (256\/(-6) + (-160)\/(-60))).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3690383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/20, -10, 37, -3 in increasing order.\nAnswer: -10, -3, 1\/20, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.029 and 139.\nAnswer: 139.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 - l**3 + 3*l**3)*(-1 - 3 + 1) + (-3161 + 199*l**2 - 106*l**2 - 91*l**2)*(1 - 1 - l).\nAnswer: -5*l**3 + 3161*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 897 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 5823.\nAnswer: 29115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93828.00044979 + -93828. Round y to 6 dps.\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(1\/4))**(1\/21))**(4\/9)*(q**0\/(q\/(q\/q**5)))\/(((q**(-5\/4)*q)\/q*q)\/((q*q*((q\/((q\/(q\/(q*q**(2\/9))))\/q))\/q)\/q)\/q)) assuming q is positive.\nAnswer: q**(-1249\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.1 (b) 3 (c) 0.5 (d) 0.3 (e) 0.219144 (f) 0 (g) 4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8378 is divided by 5164?\nAnswer: 3214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.51 + -0.4. Let d = -0.19 - f. What is the second biggest value in 0.4, d, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and 11.2.\nAnswer: 0.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -76 (b) 3 (c) -2 (d) 187 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**2 - 1792866*u - 267864041163 = 0. Calculate u.\nAnswer: -298811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1018332 is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/b**(2\/15)*b*b)\/b)\/(b\/b**(-2\/7)*b*b) assuming b is positive.\nAnswer: b**(61\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*y. Suppose -5*a - 3*m = -392, a + 2*m - 97 + 13 = y. Suppose a = 3*q + 19. What is the remainder when 37 is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12766 by 13.\nAnswer: -982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39*-116239.\nAnswer: -4533321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, x: 2, k: 2, w: 3}. What is prob of sequence xxk?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33245972 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*b - 0*m - 2*m, 4*b + 3*m - 28 = 0. Let a be (1 + 11*-1)*-1. Let w be 2\/(-3) + a\/15. Sort b, w, 5.\nAnswer: w, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18\/7 in 2, 19, 1, -2, -0.12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32902671 - 402671. What is y rounded to the nearest one million?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2\/11, 1, -14, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 5*b + 2*i, -b - 4*i - 4 = -0*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -12. Let s(f) = -5*f**3 + f**2 + 2*f + 1. Let d be s(i). Let h(n) = 2*n**2 - 3*n - 3. What is the tens digit of h(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(9) + (sqrt(1296)*-2 - sqrt(1296))).\nAnswer: -sqrt(11)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -707 + 720. Suppose -x + 3*x + 8 = 0. Is 16 a factor of 20\/6*(d + x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.862521 to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2944799 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 26*j - 175 = 0. Let f(x) = 6*x**3 + 2*x**2 - 3*x + 2. Let t be f(2). Suppose 9*u - j*u - t = 0. What is the remainder when 24 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g - 2*g + 2*g)*(-47 - 71 + 173 + 145) to the form h*g + c and give h.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -9992183*o. Let a(d) = 17*d. What is w(a(k))?\nAnswer: -169867111*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*b - 1 = 20*b, 3*b - 1 = u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -26793, -50482, -74171?\n\"Answer: -23689*g - 3104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1348 + 1348. Solve -2*f + 10 = -x*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 4:53 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 52?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or 100287?\nAnswer: 100287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1136574?\nAnswer: 2, 3, 233, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -x - 30, 3*x = -x + 2*v - 84. Let h = x - -33. Which is greater: h or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5 + 59*v**3 - 9*v - 33*v**3 - 25*v**3 + 5*v**2. What is the remainder when 42 is divided by x(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120558984 and 2457.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5117*s - 2*s**2 - 5099*s + 10266*s + 4*s**2 - 2*s**3 to the form z*s**2 + p + r*s**3 + m*s and give m.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -873, -1225, -1577, -1929, -2281, -2633?\nAnswer: -2985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.06? (a) 5.6 (b) 0 (c) 4 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 2\/3, -163, -31, 4 in increasing order.\nAnswer: -163, -31, -1\/3, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b**2 + b - 9. Let y(o) = -o**2 + o. Let f(u) = -p(u) - 4*y(u). Is f(6) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.52 - 1.22. Which is the nearest to -1? (a) 3\/7 (b) -2\/171 (c) u (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.7 (b) 0.06 (c) -1 (d) 0.2 (e) 0.3 (f) 5 (g) 1841\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2884*r**3 - 1 - 6*r**2 + 14*r**2 - 2883*r**3. Calculate h(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m**4\/4 - 2*m**3\/3 + m**2 - 17*m - 667. What is d(0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (-9 + 2 - -4) - 2. Suppose 4*x + 0*x - 2332 = w. Suppose -2 = k, -x = -j + 3*k - 7*k. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29740178 and 171326.\nAnswer: 10078","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -35012*q**2 + 34921*q + 93. Give o(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64422438?\nAnswer: 2, 3, 157, 68389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(495))\/(sqrt(30)\/sqrt(24) + sqrt(5)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00164875531 rounded to five decimal places?\nAnswer: -0.00165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3651053092 rounded to 2 dps?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from cmkkkmmkkkkkkkk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/30940398 and -73\/8.\nAnswer: 123761592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 558 and 133442786.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -85, 2, -0.55, -0.3, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.47117 - 33.156.\nAnswer: -37.62717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17, 65, 133, 215, 305, 397, 485, 563?\n\"Answer: -z**3 + 16*z**2 + 7*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -8. Suppose -3*j - 3*b + 21 = b, -j - 2*b = -h. What is the derivative of -2*u**2 + 6*u**2 - 2 + 2*u**2 - j*u**2 wrt u?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l + 77*l = -94. Which is the closest to -1? (a) -4 (b) 0.5 (c) l (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 = z + z + 9*s - 197, 77 = -s + 84 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 5:29 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - -0.3. Let q be ((2\/4)\/1)\/3. Which is the nearest to 1\/2? (a) 5 (b) q (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -2 - 15 - (281 - 288)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 38806570, 77613127, 116419684?\n\"Answer: 38806557*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-12)\/(g\/(g\/(g*g**26))))\/((g\/(g*g*g**3))\/(((g\/((g\/(((g\/(g\/g**(-2\/15)))\/g)\/g))\/g))\/g)\/g)) assuming g is positive.\nAnswer: g**(-572\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14116308 divided by 12.\nAnswer: -1176359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 2\/215?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4351468*i + 3 - 4350331*i.\nAnswer: 1137*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -234 - -242. Let x be 2700006 - 9*c\/12. Round x to the nearest 100000.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 - 2*g - 8. Let v be s(-2). Suppose -v*f = -m + 5, -7*m + 2*m + 25 = -2*f. Solve -6*b + 3*b - o + 9 = f, 0 = -5*b + 3*o + 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j - 25*j**3 - 5*j - 8*j**2 + 29*j**3 + 8.\nAnswer: 4*(j - 2)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -350\/29 in -1, 4.75, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o - 17. Let x be s(-5). Suppose -2*a = -5*r + 32, -7*r + x*r + 5*a + 12 = 0. Suppose -r*d = -4*d + 20, -2*l + 2*d = -220. Is 14 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**2 - 213*v - 1362. Determine h(59).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + 9046916.\nAnswer: 9046915.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 n when three letters picked without replacement from znzn?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j. Let w(f) = 3*f - 1. Let z be w(1). Suppose -7*o + z*o = -5. Let r(k) = 29 - 12 + 61*k - 16 - 207*k + 75*k + 72*k. Give o*r(q) + s(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4025236 divided by 2012618?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 11 = -3*r - s, 4*r = -5*s + 23. Suppose r*u + 48 = 3*u. Does 13 divide u\/30*(-25)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*n**2 - 157951664*n + 45129048.\nAnswer: -2*(n + 11282262)*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*w + 218*w + 252*w - 135*w.\nAnswer: 478*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.581208 - 0.018792. Let x = 0.1 + -3.1. Which is the nearest to m? (a) -1\/9 (b) -0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -425*l + 73*l + 422*l + 5 in the form q*l + j and give q.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + (-9)\/(-15))\/((-17)\/425). Solve -4*h = 2*n + 30, 2*h - 3*h = n + t for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(-2 + 16\/6). Let h(m) = -m**2 - 11*m - 8. Let c be h(-10). Let u(x) = 0*x**c - 2*x**2 + 3*x**t. Let w(f) = -2*f. Calculate u(w(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -16\/3*n**3 + 30*n**2 + 0*n + 0 - 1\/8*n**4. What is the units digit of w(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-14) - (-80)\/14 - -5. Suppose 3*t - 7*r - 1479 = -o*r, t + 3*r = 498. What are the prime factors of t?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -7) + -4 - (4 + -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -57. Suppose 0*n = -n + k. What are the prime factors of n?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6\/5 (b) -1\/4 (c) 0.1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 12*a**2 + 9*a - 25. What is n(-11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*6\/9)\/(-2*(-42)\/36).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114, -139, -164?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 33099 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -90947\/46 + 1977. What is the smallest value in 13, -4, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 33\/(-3))*1. Let u = -5 + v. Suppose 3*f = -4*m + 70, 5*f + 7*m = 2*m + 115. Calculate the lowest common multiple of u and f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 55180000 to the nearest one million.\nAnswer: 55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nooo when four letters picked without replacement from {n: 2, p: 2, o: 7}.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20819371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 45340410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000495 rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410691643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 7825*j**3 - 7022*j**3 - 1.\nAnswer: -14847*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 w when two letters picked without replacement from ffwfwwwfwf.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003198266 to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 10. Let g(y) = -3*y**2 - y**2 + y**2 - 2*y**f. Let v(c) = -2*c. Give g(v(j)).\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*k - 35*k + r = 24, r = 4*k - 32 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 16*p + 13. Let m(v) = 4*v + 3. Let c(n) = 2*b(n) - 9*m(n). Let o = 1 - -1. Give c(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74348013.\nAnswer: 3, 31, 799441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 + 27 + 5*a**2 - 62.\nAnswer: 5*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 457.2, -1\/6, 3\/20 in increasing order.\nAnswer: -1\/6, 3\/20, 457.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = o - 100. Suppose 3*f - 93 = -3*z, -2*z - f = -7*z + o. Calculate the remainder when z is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 266\/(-152) - 93\/(-12). Let k be (-32)\/h - (-84)\/14. Suppose 0*x**2 + 0*x - 1\/3*x**5 - x**4 - k*x**3 + 0 = 0. What is x?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002244919161 rounded to seven decimal places?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*t - 10 = 2*t, 0 = -3*m + 4*t + 22. Suppose m*h - 10 = -5*v, -2*h - 3 + 1 = 2*v. Suppose v*o - 14 = 50. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*k**3\/3 - 14*k**2\/3 + 14*k + 12.\nAnswer: -2*(k - 2)*(k + 3)*(4*k + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 14*g - 2. Let k(c) = 14*c - 2. What is 2*f(s) - 3*k(s)?\nAnswer: -14*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*g + 23*g + 58*g**2)*(-4 - 2*g + 4) + g - g - 2*g**3.\nAnswer: -118*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 11, -6, 740, 5 in ascending order.\nAnswer: -6, 1, 5, 11, 740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - -17. Is y a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -1, 12 in increasing order.\nAnswer: -1, 0, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*x = -35*x + 76*x + 108 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**2 - 240*y - 51507 = 0?\nAnswer: -97, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t = 15*t + 12. Suppose -z - s = s - 14, -s + 28 = t*z. Calculate the smallest common multiple of 59 and z.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70 - 71. Let b = 1 + s. Suppose 12*d - 10*d - 82 = b. Is 15 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - (-9)\/(-2))\/(11 - 3105\/282). Is 703 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 344.5842 - 341.58. Let b = u + -65.1202. Let t = b - -62. What is t rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -10. Let a(o) = -o**3 + 6*o**2 + 6*o + 7. Let v be a(f). What are the prime factors of v + (1 - 61)\/(-3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x**3 - 5*x**2 - 1 - 5*x**3 - 2*x**3 to the form v*x**3 + o*x + h + i*x**2 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73153476 - -97734580. Suppose 3*y + 42411926 = -l. Let a be (-6)\/(-9) + y\/(-9). What is a rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 5*w**2 + 16*w - 20. Let o be c(6). Let i be 2 - (2 - 0) - -16. What is the highest common factor of i and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05843+0.02\nAnswer: -0.03843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -j**5\/10 - 7*j**4\/3 - 11*j**3\/6 - 11*j**2\/2 + 6988*j. Let d(z) = z**3 + 14*z**2 + 6*z + 6. Give 11*d(f) + 6*s(f).\nAnswer: -f**3 - 14*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -7*h**8\/2 - h**4\/4 - 13*h**3\/6 - 293*h. What is the third derivative of j(q) wrt q?\nAnswer: -23520*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y*y**(2\/7))**16\/(y**7*y*y\/((y*y*y**(4\/5)\/y*y*y)\/y)) assuming y is positive.\nAnswer: y**(1623\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - v. Let u be z(5). What are the prime factors of 26 + (-5)\/(u\/12)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211102 - 202020?\nAnswer: -1120122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2 = -14. Suppose -5*p = 2*a - 6, 0 = -n*p + a - 0*a + 10. Suppose -3*d = 2*m - p, 3*m + 0*d + 19 = d. Let l(z) = -z - 4. What is l(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8261\/4 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -173*z - 25. Is i(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b50 - 4?\nAnswer: 1b48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -26, 1, 1\/3, -14?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -138, -197, -250, -297, -338, -373?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 12, d: 2, t: 3}. Give prob of picking 2 d.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/47)\/x*x*(x\/x**(-2\/9))\/x)**(7\/4)\/((x**1*x)\/x**(-7)*x**(-2\/29)*x*x*x**1) assuming x is positive.\nAnswer: x**(-140674\/12267)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9a4 (base 11) in base 12?\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2. Let w(p) = -3*p**3 + 2*p**2. Calculate -w(j) + 5*z(j).\nAnswer: 3*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*(sqrt(1331) + 0) + 1))**2.\nAnswer: -792*sqrt(11) + 47952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**2. Let h(r) = 5296*r + 42. Let j(q) = -37070*q - 315. Let k(t) = -15*h(t) - 2*j(t). What is i(k(d))?\nAnswer: -56180000*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -6. Suppose -6*y = -w*y. Which is the second smallest value? (a) 0.9 (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 3 = -3*z, -4*z + 74*j - 72*j - 22 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 74. Let b = 54 - 37. Is z(b) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - -14. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (3 + 3 + -1 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1710593?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4113 (base 6) to base 2.\nAnswer: 1110001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 8 = -3*p - 4*k, -8 = -p + k. Suppose 0 = 5*q - 4 - 26. Suppose -3*u - 9 = -q*u. Solve p*r - u*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -3. Suppose a + 2*p = -3, y*p = -3*p - 15. Suppose -2*o - 4*i = -26, 0*o + a*i = 4*o - 30. Calculate the remainder when 24 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*3\/63)\/(19\/(-57)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 168.1 - 168. Which is the closest to s? (a) 0 (b) 7 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 0*k + k**2 + 0 + 0*k**3 + 1\/30*k**5 - 1\/8*k**4. Find the second derivative of a(c) wrt c.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3998453 to the power of 1\/4, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3258*d**2*o**2*q**3 - 3*d**2*q**3 - 8472*d**2*q**2 + 38*d*o**2*q**2 - 2*o**2*q**2 wrt q?\nAnswer: -19548*d**2*o**2 - 18*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -21. Let p(k) = -16*k + k + x*k. Let m(r) = -6*r - 4. Let o(c) = 7*c + 5. Let l(t) = -5*m(t) - 4*o(t). Determine p(l(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x*x\/x**(-1\/5)*x)*x**(1\/7)*(x*(x\/x**(-1))\/x*x*x)\/x**(2\/3))\/((x**(2\/5))**(-2\/35))**(-2\/17) assuming x is positive.\nAnswer: x**(2441\/8925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/((-5)\/15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 12:43 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**6\/120 - v**5\/60 - 5*v**4\/12 + 3*v**3\/2 + 227*v**2. Calculate r(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 4995?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 4905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -48688575 divided by -2\nAnswer: 48688575\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**3 - 24*x**2 - 21*x - 48. What is k(13)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.2 + -26.8. Let u = z - 0. Let b = u + 31. Sort 0, b, -0.5.\nAnswer: b, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 >= -306\/199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -684.8 and 30690.\nAnswer: -21016512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.5291 to one dp.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 66*k**2 + 130*k - 827. Let p be l(6). Calculate the greatest common divisor of p and 274.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p + 4994 = -310*p - 5086 for p.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -24319\/10 at most as big as -2433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**2 - 15*p - 5. Let v be g(-7). Let b(t) = 5*t + 65. Let j be b(-12). Is j greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 356, 358, 360, 362?\n\"Answer: 2*u + 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*k - 4*k - 12*k)*(-148 + 148 + 166*k**3) + 0*k**4 + 2*k**4 + 0*k**4.\nAnswer: -3982*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t*(t**(3\/8)*t)\/t))\/t)\/t)\/(t**(1\/3)*t*t)*t\/(t\/t**(-1\/5))*t*t**(2\/5))\/((t*((t**(2\/7)*t)\/t)\/t*t*t)**(-45))**(3\/13) assuming t is positive.\nAnswer: t**(220889\/10920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -252*v + 463*v - 210*v. Let f(i) = 22332*i**2. Give f(d(n)).\nAnswer: 22332*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)\/sqrt(45))\/(-6*sqrt(15)\/sqrt(3)).\nAnswer: -sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, w: 2}. Give prob of sequence wt.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h - 1. Let n(f) = -f + 3. Suppose -5*s - 14 = -39. Determine s*j(q) + n(q).\nAnswer: 4*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*s + 148*s - 24*s + s.\nAnswer: 167*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 4*t**5 - 13 + 10 + (-2*t + 0*t + 0*t)*(0*t**3 - t**4 + 0*t**3).\nAnswer: -2*t**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -14, -1, -3 in ascending order.\nAnswer: -14, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -20 and 0.039 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 11*w**3 + 8*w**2 - 21*w - 8. Let u(z) = -7*z**3 - 5*z**2 + 14*z + 5. Let q(r) = -5*s(r) - 8*u(r). Find the second derivative of q(m) wrt m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -646 - 6403560?\nAnswer: -6404426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.18 times 0.18\nAnswer: 0.0324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17144753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/8 + (-666)\/(-8). Suppose 0 = -19*l + 5*l + i. Solve -l*y - 12 = -9*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 (base 10) in base 11?\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (28 + -54 - -34 - (4 + -1))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3930\/(-120))\/(2\/(-16)). Suppose 3*u - 50 = w. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -9. Calculate the remainder when i is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, 10, 55, 138, 271, 466, 735, 1090?\nAnswer: 1543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c*c\/c**(-3\/11)*c*c)*c*c**(1\/10))**(-2\/43))**(1\/38) assuming c is positive.\nAnswer: c**(349\/89870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.5 (b) 5 (c) -0.97 (d) -39\/5 (e) -3.6 (f) 1 (g) 1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -35042721 (base 8) in base 5?\nAnswer: -3422320144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -648\/2741?\nAnswer: -648\/2741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/12 and -103\/752?\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36632, -73266, -109900, -146534?\nAnswer: -183168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50) + ((0 + sqrt(3200))**2 - sqrt(50)) - ((sqrt(24)\/sqrt(3) - sqrt(2))**2 - sqrt(128)*-1).\nAnswer: -8*sqrt(2) + 3198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2*z + 2*z + 88, -2*z = 4*d - 136. Let n = d + -25. Solve -n - 1 = -3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -w + 5, 34 = 4*w + 30. Suppose -3*z + 5*i + 114 = 2*i, p*z = i + 137. Calculate the least common multiple of z and 21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 458, 459, 454, 443, 426, 403, 374?\n\"Answer: -3*z**2 + 10*z + 451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168856*110.\nAnswer: 18574160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 5:57 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, z: 11, t: 2}. What is prob of sequence kk?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 514 (b) 0 (c) -5 (d) -17 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0.5. Let f = 18130507\/138 + -131382. Let h = 1\/69 + f. Which is the smallest value? (a) -0.1 (b) h (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 11:59 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 707*v - v**2 + 29 - 95 + 34.\nAnswer: -v**2 + 707*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*r - 129*r - 38*r)*(2 + 0 - 1)*(-5*r - 6 + 6).\nAnswer: 740*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*j - 4*j - 15 = 0, 4*j = -20. Suppose 0 = d + x*l - 57, 2*l + 90 = -0*d + 2*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 740 - 748. Suppose 3*v + d - 76 = 0, d = -v + 5*d + 47. Calculate the remainder when 27 is divided by (s\/v - 2\/9)\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 0.213\nAnswer: -0.0213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 3 = -2*w - j, -2*w - 1 = -j. Suppose 0 = 5*i + w*n - 91, 0*i + i - 4*n = 27. Suppose o + 0 = i. Calculate the remainder when o is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 30171, 60340, 90509?\n\"Answer: 30169*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18599, 3, 15.\nAnswer: -18599, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(143)*-3 - sqrt(143))\/sqrt(11))**2 + sqrt(91)\/(-3*sqrt(7))).\nAnswer: -208 + sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p + 4*p + 9304 - 2*p - 9287 + 5*p + p.\nAnswer: 2*p + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 1734 = -5*b, a - 940 - 449 = -4*b. Calculate the greatest common divisor of b and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -7*t + 4. Let a(j) = -8*j + 5. Let f(n) = -5*a(n) + 6*b(n). Let m be f(-1). Let z = -0.5 + 0.3. Which is bigger: m or z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4120 - -4233. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12\/7 + -17\/14. Let v be (-32)\/(-40) + 8466\/105. Let a = 81 - v. What is the nearest to -1 in a, 13, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*d**2 - 666752*d\/5 + 8890.\nAnswer: 2*(d - 22225)*(15*d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 181. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jiyyiyjii. Give prob of picking 1 j and 1 y.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.75138993 rounded to 1 decimal place?\nAnswer: 23.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 11*h + 3. Let b be m(10). Suppose -d - 3*o + 42 = 0, -b = -5*d - 3*o + 145. Does 17 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-18\/11)*a**(-4))**(-3) assuming a is positive.\nAnswer: a**(186\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35036 is divided by 1945?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67741156 is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/((-24)\/15 - -2). Let o(c) = -4 + 4*c**2 - 3*c**2 + k. Give o(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxii. Give prob of sequence xixx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -1 - (-45)\/5. What is the derivative of -u - u - r*u - 6 wrt u?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -8.17, -0.5?\nAnswer: -8.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 5*f**2 + 2. Let j be g(-5). Let t be 2\/(-2) + 2300 + j. Let w be t - (0 - (0 - 1)). What is w rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 12:20 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1\/4, 2\/9, -15\/2021, 4, 0.1?\nAnswer: -15\/2021","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3435521.\nAnswer: 3435521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = 10422*g - 10434*g + 53 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + (9 - -17) - (4 + (8 - 4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.63 + -0.07. Let y = 4 + s. Let r be (-41)\/(-5) + -6 - (1 + (1 - 0)). What is the nearest to r in 1, y, -2\/15?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -0.1214, -0.3, 27 in ascending order.\nAnswer: -1, -0.3, -0.1214, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4.119 (b) 19 (c) 598\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 10:21 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 8*k - 7. Let b be n(5). Let l = -21847 + 21891. What is the highest common divisor of l and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 18*v - 8. Calculate k(18).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -20*m**2 - 11*m + 7. Let a be r(-3). Let o = a + 152. What is the lowest common multiple of o and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67290 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1283, -2572, -3869, -5174, -6487, -7808, -9137?\nAnswer: -10474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -356, -715, -1078, -1445, -1816?\nAnswer: -2191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqeq when four letters picked without replacement from eeqieqeejqijq.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 1, -5*u + 5 = -3*u - 2*f + 2 + 45 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 139159087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**3 - 48*t - 68*t + 97*t - 11*t**3 + 6*t**3.\nAnswer: -2*t**3 - 19*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1488 is divided by 509.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*z = 6573 - 5908 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26041.86661 + 26042. Round r to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-27)\/81)\/(1 + 830\/(-828)). Let r = -140 + y. Sort r, 0, -5, 58 in descending order.\nAnswer: 58, 0, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 2. Suppose d = -5*b + 2 - 18, -5*b - 4 = 4*d. Let z be (-1)\/(1 + (-2)\/d). Let c be a(z). What is the highest common factor of 30 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -g + 3. Suppose 0 = -3*z + 5*l + 1 + 19, z + g*l + 20 = 0. Solve 0 = -2*r - z*r - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 31*u**5\/20 + 61*u**3\/2 - 32*u + 1. What is the second derivative of l(b) wrt b?\nAnswer: 186*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 q when two letters picked without replacement from vpqqupj?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0*k - 4*w = -17, -4 = -k - w. Let r = -4 + 8. Suppose -b - z = z + 4, -r*b + 11 = -z. Solve -3*x = -b*x - k for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -320201 - -1?\nAnswer: -320200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4750 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.17 + 0.47. Suppose -l = 1 - 10. Let g be 11\/22*l\/(-3). Which is the closest to -4\/9? (a) i (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/337417 and 12\/145285.\nAnswer: 82667165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 11*g + 2. Let d be q(10). Let m be -2 - (0 - 1) - d. Suppose 3*u - 25 + m = 0. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(342) - 2*sqrt(342))\/(sqrt(2) - sqrt(40)\/sqrt(5)) + 4*((sqrt(19) - (sqrt(76) + 2)) + (sqrt(19)*-2 + 3)**2) + 4.\nAnswer: -49*sqrt(19) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/(-12)*(-45)\/225. What is the closest to 1\/5 in 0.2, -0.3, p, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 414*f - 792 = 402*f. Suppose -h + 263 = 4*q, 0*h - h - 257 = -4*q. Is q less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119 + -171 - 1670\/(-32)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 16.08. Round r to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*y - 239, 2*k - k - 2*y = 130. Put -1\/6, 3, k, -3\/8 in ascending order.\nAnswer: -3\/8, -1\/6, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(75)*-4)**2 + (sqrt(75)*-4)**2*2 + -4*(-5 + -4 + 3*sqrt(75)).\nAnswer: -60*sqrt(3) + 13236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -323\/3 + 108. What is the third smallest value in i, -1, -3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.63612 millilitres in litres?\nAnswer: 0.04163612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 7:01 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 1)\/(4\/32). Suppose w + 0 = 4*k. Solve 0 = -0*d - 2*d - k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4795 + 14780\/3. Let q = 199050 - 198919. Which is bigger: t or q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52631 at most 52609?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 75.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37354 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - (0 + 2))*(-15)\/15. Let o be (1 - u)*12*(-5)\/(-20). Solve 3*a = 6*a + o for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d + -21b4?\nAnswer: -21d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 422777726 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = k - 0*k + 3*c, 4*c + 16 = -4*k. Let u be 1 + (-21)\/(-1) + k. Solve -u = s + 4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 134*f**3 + 6 - 48*f**3 - 4*f - 44*f**3 - 40*f**3 to the form a*f**2 + t*f**3 + s*f + n and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30526055 - 1?\nAnswer: 30526054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 91, 4, -95, -1 in descending order.\nAnswer: 91, 4, -1, -13, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a**2 + a. Let z be q(-1). Solve -2 = 2*v, -z*v - 2 - 1 = -2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-54) - 418392\/4680*((-20)\/54 - 0).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6437.\nAnswer: 41, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20262000 = -9*i + 20*i. Round i to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 2628*b**2 - 767380*b - 74691260. Let c(p) = 6*p**3 - 13140*p**2 - 3836901*p - 373456299. Let n(a) = 4*c(a) - 21*j(a). Factor n(m).\nAnswer: 3*(m + 292)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i - 1510 = -29*i. Suppose 5*c - 5*a - i = 0, -4*c - 2*a - 449 = -7*c. Does 21 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (44 - (-15 + 18)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83263 + -83234. Suppose 3*w - 101 = a, -12 = -5*w - 4*a + 162. Which is greater: w or g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 7*u**2 + 71*u - 15. List the prime factors of y(-17).\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -163*i + 10. Let k be q(-2). Suppose 4*b + k = 5*b. What is the units digit of 0 - (b\/(-9) - (-1)\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37572 and 397536?\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -d24?\nAnswer: -d23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 135077213369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 90, 159, 244, 339, 438, 535?\nAnswer: 624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -39, 3, 32, -26, 9 in decreasing order.\nAnswer: 32, 9, 3, -2, -4, -26, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/(-24)*(0 + 4). Let r(b) = -4*b**2 + 4. Let a(f) = -10*f**2 + 10. Let o(m) = y*a(m) + 12*r(m). Differentiate o(u) wrt u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 6*v + 6 = 0. Suppose 0 = 5*m - y - 25, 0*m - v*m + y + 10 = 0. Let w = -10 - -14. Solve -w*k - m = -25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6876301 < 6876302?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4117234 (base 8) in base 9?\nAnswer: -2040060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.2 - -1.3. Let b = m - -1. Let q be (-5)\/(-5)*6\/(-8). What is the second biggest value in 2, b, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/15 + -1)*(-5)\/(-2). Which is the second biggest value? (a) 0.9 (b) -0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*h + 437 = -0*t, 0 = -4*t + h + 600. Suppose 0*i = 5*i + x - t, -5*i + 146 = -4*x. Suppose 3*v + i = 8*v. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266098801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 + x + 1. Let h = 7 + -8. Let b be k(h). Let c(d) = -d. Let i(f) = f + 2*f + 0*f. Calculate b*i(t) + 5*c(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 673539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3 + 4 + 2*(-3*(2*sqrt(720) + sqrt(720)))**2)*-4 + 4.\nAnswer: -466579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-10) + 14124\/20 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 552307 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) 17 (c) -0.5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 216 - 152. Suppose -19*w + 56 = -12*w. What is the highest common divisor of c and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1213 - -1185. Let y = 0.054 - -28.146. Let a = f + y. What is the closest to 2\/3 in a, -0.12, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*y + c + 3, 4*c = -5*y + 13. Let g(o) = 5*o - 13*o + 3 + 11*o. What is the smallest common multiple of g(y) and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (301693\/(-262))\/(2 - ((-39)\/(-12) - 1)). Calculate the highest common factor of 94 and l.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a kilometer in meters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25256 - 25261. Put -17, -4, 4, 8, m in increasing order.\nAnswer: -17, m, -4, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 - 6*x**2 + 3*x**2)*(-x**2 - 5*x**2 + 4*x**2) + 4*x**3 - 4*x**3 - x**4 - 705*x**4 - 3095*x**4 - 235*x**4.\nAnswer: -4028*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + -3 - (-197 + 170)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60386251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**5\/24 - p**4\/6 - p**3 + p. Let c(y) be the second derivative of w(y). What is the first derivative of c(n) wrt n?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f + 15. Let i be g(6). Suppose -35 = -4*h - i. Calculate the greatest common factor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-3))\/d*d*d**6)**5 assuming d is positive.\nAnswer: d**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3578?\nAnswer: 2, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 2. Which is the nearest to 0.3? (a) x (b) 3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (0 + 0 + 2). Suppose s + 9 = 2*o + 3, 0 = 3*o - 3*s - 9. Suppose o = -2*n + 9. Which is the fourth biggest value? (a) n (b) -2\/21 (c) h (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3137522279.4 and 0.1.\nAnswer: -3137522279.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mccmmmmc. Give prob of sequence cccm.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (348\/290)\/(14\/(-5))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -603, -608, -613, -618?\n\"Answer: -5*y - 598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 101 + -100. Let s(o) = -6*o**3 - 12*o**2 - 2*o + 7. Let i(x) = x**3 + x**2 - x. Let w(m) = f*s(m) + 5*i(m). What is the units digit of w(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 577 + 149a?\nAnswer: 1a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83831919 is divided by 963585?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*c**2 - 4*c**2 + 0*c**2)*(2 - 4 + 0) + (4*c - 4*c + c)*(-2*c + 0*c + 4*c) - 284*c + 284*c + 34*c**2 - 4*c - c**2 + 4*c as v + a*c + p*c**2 and give p.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9319.658 millilitres in litres?\nAnswer: 9.319658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2*h - 48. Let u = 30 - h. Calculate the lowest common multiple of u and (-42)\/9*3*-1.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70763686*l**3*u - 3*l**2*u - 5*l**2 + 4*l*u - 158*l + 2*u + 328 wrt l.\nAnswer: -424582116*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of w + 1 + 83*w**2 + 4*w**2 - 12*w**2 wrt w?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(-26\/5))**(-15\/2))**41)**(-4))**14 assuming y is positive.\nAnswer: y**(-89544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 2*m = -j - 3505, 0 = 5*j - m - 3505. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69508\/17377*(2 + 162\/(-8) + 2).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*g**3 + g**2 - 96*g - 9*g + 53*g as a*g**2 + c + p*g + t*g**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 74.2233 litres?\nAnswer: 74223.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 324621 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k = 17*k - 12. Suppose -4*i + r = 59, -k*i - r - 62 = 7. Let j be i\/72 - 2596\/(-18). Calculate the greatest common divisor of j and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 1)*(-2 + 0 + 4)*(-s + 2*s + s) in the form q*s + n and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 352 + 28 = 0. Calculate the remainder when i is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 10}. Give prob of sequence kkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 40 = -34. Solve m*g = -5*b, 19 = b - 4*b + 2*g for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.17 + 0.07. Suppose -p - 8 = p. Let d = p - -4. What is the nearest to i in -0.4, d, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 9) to base 15.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 3, -1000, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26011 and 68894?\nAnswer: 2549078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 0*l + 416*l**2 - 423*l**2.\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/3991608 and -121\/1108780.\nAnswer: 19958040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**7\/35 - r**6\/24 - 53*r**5\/60 + 15*r**4\/8 - 3*r**3\/2 + 101*r**2. Let t(n) = 0. What is n?\nAnswer: -3, 1\/3, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(-10)\/(-664)*12\/30. Let z(s) = -s**2 + 4*s + 5. Let r be z(6). Let t be (-2)\/(-4)*(r + 7). Do v and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -40644755*c. Let u(z) = -z. What is u(b(o))?\nAnswer: 40644755*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 6*h**3 - 7*h**2 - 7. Let g(o) = -1 + o + 66*o**2 + o**3 - 67*o**2 - o. Calculate 42*g(i) - 6*u(i).\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9387.4ml?\nAnswer: 9.3874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 38, 10 in descending order.\nAnswer: 38, 10, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.6918 and 2.9.\nAnswer: 13.60622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35116 + -2?\nAnswer: -35121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-83)\/(70882\/(-732))*(-840)\/(-8)\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-8)*l*l**7)**22*((l\/((l\/l**0)\/l))\/l**(4\/9))**(-1\/15) assuming l is positive.\nAnswer: l**(10097\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 7:36 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -136\/3531 + 9283\/127116. What is the common denominator of x and (-1590)\/(-24)*2\/(-5)?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1684, -13193, -44428, -105253, -205532, -355129, -563908?\n\"Answer: -1644*v**3 + v**2 - 4*v - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*p + 61 = a, -5*p + 71 = 3*a. Find the common denominator of ((-2)\/p)\/((-17)\/1581) and 36.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one eighths of a millimeter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**(-3\/5))\/(x**(-6)\/x))\/(x**1)**(2\/3)*((x**(1\/2))**(2\/19))**(-30) assuming x is positive.\nAnswer: x**(2096\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 556 + -555. Let t(v) = -21*v - 4*v**2 + 11*v + v + b + 3*v + 3*v. Let f(i) = -5*i**2 - 4*i + 1. What is -2*f(a) + 3*t(a)?\nAnswer: -2*a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**4\/2 + 129*v**3\/2 - 1443*v**2\/2 + 1071*v\/2 + 1323 = 0. What is v?\nAnswer: -1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 134294.14 + -136646. Let f = d + 2386.8579. Let y = 35 - f. What is y rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f - 1. Suppose -3*l + 11*l - 96 = 0. Let c = -15 + l. What is n(c)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.82551 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 472 and 1194040.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 4*r + 0*r - 21*r + 0 to the form o*r + t and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(72)*2 + ((-3*sqrt(72) - sqrt(72)) + 5 - sqrt(72)) + -2)*5)**2.\nAnswer: -8100*sqrt(2) + 146025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 > 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -29. Solve s - l*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11)\/(-5) + 3\/(-1). Let v = b + 1\/20. What is the third smallest value in -0.06, v, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47 and 65236?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*(-4)\/(-10)*-4. Let k be (-18)\/4*u\/12. Solve -3*c - 3 = 3, a = -k*c - 11 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-14) - (-107)\/7. Suppose -4*q + 3*d = 47, 6*q + 5*d = q - j. Let p = 5 + -2. Which is the closest to -1\/2? (a) q (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5400 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 3.4763521062649\nAnswer: -3.9763521062649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-2)\/(-3))\/(2\/168) is divided by ((-14)\/28)\/((-1)\/38)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (44\/12*(-5088)\/3498)\/10\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i + 6*i - 67 + 49 + (i - 6*i + 15*i)*(0 - 1 + 2).\nAnswer: 12*i - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 4 - 4. Let l(a) be the second derivative of 7*a**3\/6 + 143*a. Determine v(l(d)).\nAnswer: 49*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40*g**3*u**2 + g**3*u + 351*g*u + 10*u**2 wrt u.\nAnswer: -80*g**3 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -67, -76, -89, -106, -127, -152?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1160 + 1628. Suppose -160 = -d + l - 0*l, 3*d + l = h. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyxyyyyylyuxuxyl. What is prob of sequence uuxl?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-3)*(-15)\/(-2). Let x = 10 + a. Suppose 3*w - 21 - 9 = x. Solve -c = c + w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 733*q - 8868836 = 561*q. List the prime factors of q.\nAnswer: 51563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/16 and 49\/116.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*u + v + 2*v, 19 = -4*u - v. Suppose -12*m + 12 = -15*m. Put m, u, -1 in ascending order.\nAnswer: u, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -6*p**4\/17 + 154*p**3\/17 + 76*p**2\/17 - 616*p\/17 - 208\/17 = 0.\nAnswer: -2, -1\/3, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108501 - 2*i - 108501.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11113301 + -123300?\nAnswer: -11303201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 9) to base 15.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2 = 0, 169 = 4*g + g + 4*p. List the prime factors of g.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 18764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 52, 1, 4\/7, 0.3?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -7*o**3\/3 + 42*o**2 - 4*o. What is the remainder when 106 is divided by x(4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/42)\/(1\/14).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 3. Suppose 2*r = -2*r + q*t - 16, 2*r + t = 0. Is 4 a factor of (r\/4)\/((-9)\/72)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103437 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a second in milliseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 16*l. Calculate the remainder when 49\/21*801\/21*(-1 - -2) is divided by d(3).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 5\/1961 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 515?\nAnswer: 2\/515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 75256\/15491 - 2\/2213. Let m = 29152 + -1982427\/68. Find the common denominator of m and y.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 0*s - 5. Let w = 4 - 3. Sort w, -4, s in ascending order.\nAnswer: -4, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssssvssvsss. What is prob of picking 2 v and 1 s?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4094412 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2840 + 6104. Is f a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 481, 750, 1225, 1912, 2817, 3946, 5305?\nAnswer: 6900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -250*z**2 - 89997*z + 1229. Determine r(-360).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 175439 times 71?\nAnswer: 12456169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*j - 925*j - 262*j - 118*j as x + r*j and give r.\nAnswer: -1296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/2))**(-2\/65)*(f**(-2\/5))**(4\/9))\/(((f**5\/f)\/f**(-5\/2))\/(f**(1\/3)*(f**4\/f)\/f)) assuming f is positive.\nAnswer: f**(-5101\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7325 and 40.\nAnswer: 58600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 676 and 34772.\nAnswer: 5876468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 97440 divided by -1160\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 91 = 3*w, w - 35 = i - 4. Suppose 5*k = 3*a + 31 + 28, w = 3*k - a. List the prime factors of (48\/k)\/(-2 - (-244)\/120).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, m: 4, a: 3, j: 4, f: 6}. What is prob of sequence cma?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 21) + -235 + 264.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 3\/2, 2\/59, 6, -19?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 848, 1696, 2544?\n\"Answer: 848*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6506*c + 6491*c - 35055 = 0. Which is bigger: c or -2336?\nAnswer: -2336","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 * 0.3\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 20. Let y(t) = 19*t**2 - 3*t + 2. Is y(c) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 + 0.4. Let f = x - 0.9. Let g = -1 - f. Which is the closest to -2\/5? (a) 1 (b) g (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5334 + 5398. Solve -4*t - z + 80 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 101854, 203703, 305552, 407401, 509250, 611099?\n\"Answer: 101849*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17949079, -17949080, -17949083, -17949088, -17949095?\nAnswer: -17949104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + (-18)\/6 + (1 - -2). Let s be ((-8)\/(-28))\/(l\/(-42)). Solve s = -2*r + r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.066 + 0.066285. Round o to five dps.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 - (-894)\/(-9)*6. Let g = -546 - k. Calculate the remainder when 142 is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8552252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(1008) + (sqrt(1008)*-2 - sqrt(1008)) + 5 + (2*sqrt(1008) + -1)**2.\nAnswer: -72*sqrt(7) + 4043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-5)*(-2 - -4 - -13). What are the prime factors of (182\/3)\/(5*f\/225)?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**2 + 4*g**2 - g**4 + (0 + 0 - 1)*(3*g**4 - 3*g**4 + 2*g**4) - 7*g**2 - g + g**4 + 7*g**2.\nAnswer: -2*g**4 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -7 (b) -2\/3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(56)\/sqrt(8) - 6*(sqrt(343) + 0 + sqrt(343))).\nAnswer: 166*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*r - 14 = 15*r. Is r bigger than 3\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1081, -1612, -4305?\nAnswer: -6998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -s + 5*s + 28, -4*s - 3*g + 4 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (156\/84*2)\/((-8)\/(-28))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 521, 2068, 4657, 8288?\n\"Answer: 521*n**2 - 16*n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5254151 (base 6) to base 13\nAnswer: 8c830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**3 - 3043152*j**2 + 79119248*j = 0. Calculate j.\nAnswer: 0, 26, 760762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 6:32 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9129, -9138, -9149, -9162?\n\"Answer: -t**2 - 6*t - 9122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36590, 36587, 36584, 36581, 36578?\nAnswer: 36575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (1839\/8*2)\/((-231)\/(-1232))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*m = 196, 0 = -4*c - 4*m + 5*m + 255. Suppose 35*g + c = 39*g. What is the remainder when 284 is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18707 (base 12) in base 3?\nAnswer: 1210210121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 386168729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 53*l**3 + 3*l**2 + 15*l - 35. Is 30 a factor of n(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/13 - 428*v\/13 + 192.\nAnswer: 2*(v - 208)*(v - 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 65 - a12450?\nAnswer: -a123a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**3 - 3*m**3 + 7*m**4 + m**4 + (-3*m**2 + 5*m**2 + 0*m**2)*(3*m**2 - m**2 - 4*m**2) + 0*m**4 - m**4 + 0*m**4.\nAnswer: 3*m**4 + 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 56 = -4*h + 2*h, -35 = 3*b - 2*h. Put -4, -2, b in ascending order.\nAnswer: b, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 680, -514, 5 in increasing order.\nAnswer: -514, 5, 680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 43 = -4*h, 8*r + 27 - 129 = -2*h for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((312\/(-36))\/(-13))\/((-8)\/6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 6*w**2. Let l be g(6). Suppose l = 6*u - 7*u + 447. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 229\/90090 and -161\/2340.\nAnswer: 180180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 21 = -3*x, -3*k - 6 = 4*x + x. Suppose 246 = k*i - 0*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -9, -4, 18 in ascending order.\nAnswer: -33, -9, -4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nlqn. Give prob of picking 1 q and 1 l.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34752547 is divided by 6082.\nAnswer: 6081","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.06 - -2.06. Sort -4, 6, a in ascending order.\nAnswer: -4, a, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-7)\/(84\/(-16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -213867, -213911, -213991, -214113, -214283, -214507, -214791, -215141?\nAnswer: -215563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 332039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -268.2, 9 in decreasing order.\nAnswer: 9, -7, -268.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 593 = -267. Let c = d - 378. Find the common denominator of -44 and c\/(-28) - 0\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1103, 2111, 3163, 4265, 5423, 6643?\n\"Answer: y**3 + 16*y**2 + 953*y + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 16*m + 133. Give l(22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49959397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*c**2 - 26*c**2 + 3*c**3 + 12*c**2 wrt c?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/sqrt(4)*-2 + sqrt(19) - (3*(sqrt(171))**2 - sqrt(19)).\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (-1)\/9*11. Let s = -5.1 + 5.1. Which is the nearest to 1? (a) -1 (b) s (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*v + 174*v**2 - 36*v**2 + 31*v + (-3*v**2 + 3*v**2 + 2*v**2)*(19 + 8 + 6) to the form j*v + t + i*v**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 + 72*d + 432.\nAnswer: 3*(d + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7}. What is prob of sequence oooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 3:36 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -97 + 106. Solve k = -5*i - 14 - 1, -y = 3*i - 4*k for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - 15\/4)\/((-3)\/(-228)). Let n be ((b + -3)\/(-2))\/2. Sort 3, n, 1 in decreasing order.\nAnswer: 3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of d**6\/3 - d**4\/12 - 2*d. What is the third derivative of f(k) wrt k?\nAnswer: 240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 13. Suppose -z + 15 = -n, -5*z - 1 + 82 = -o*n. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21789 is divided by 726?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 10. Let y = i - -8. Let 2\/9*v**4 + 0*v - 2\/9*v**y + 0 - 2\/9*v**2 + 2\/9*v**3 = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -281.20687 to the nearest integer.\nAnswer: -281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3925*z - 6*z**3 - 1961*z - 1964*z.\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r + 1. Let g be w(-3). Suppose -3*n - 4*i + 32 = -8*n, 4*n + 2*i + g = 0. Which is the smallest value? (a) 0.2 (b) n (c) 1\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 5*y**2 - y + 7. Suppose 0 = 2*m - 117 + 47. Let t be 4\/14 - 220\/m. Is q(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 2*k + 3*k)*(0 + 0 + 27).\nAnswer: 54*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*n = 3*k + 197 + 18, 0 = -5*k - 2*n - 9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 2*q + 136, 3*q - 106 = 96*g - 100*g. Suppose 4*t + 324 = 4*h, -11 - 151 = -2*h + 3*t. Calculate the remainder when h is divided by g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 50 = 4*p, 9 - 3 = 3*l. Let b be ((-42)\/(-8) - 5) + 201\/p. What is the second biggest value in -1\/2, b, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -3. What is the remainder when (-14)\/4*(g + 1) is divided by -1 - 6\/(-2 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4116 times 0.36?\nAnswer: -0.508176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(96) + sqrt(3456))\/(-6*(5*sqrt(32) + 1*sqrt(8))))**2.\nAnswer: 16\/363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)*2*-2 - sqrt(315) - sqrt(315))\/(sqrt(7) - sqrt(84)\/sqrt(3)).\nAnswer: 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*2*4 + -5 + -5 + (sqrt(35) + -1*sqrt(3500))\/(-4*2*sqrt(7)))**2.\nAnswer: -365*sqrt(5)\/2 + 33045\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 111 (c) 291 (d) 0.111\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -85*g - 1739. Let y be (2\/(-4))\/(1\/(-6)). Suppose 48 = f + y*f. What is the remainder when c(-21) is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.026105 * -145.86.\nAnswer: -3.8076753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-2))\/(-2*(-6)\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 169575 and 75?\nAnswer: 169575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1140*c + 437*c - 319*c)*(-277 - 31*c + 277) to y + z*c + o*c**2 and give o.\nAnswer: 31682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3009550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 10*b**4\/3 + 604*b**3\/9 + 3050*b**2\/9 + 44*b = 0.\nAnswer: -11, -9, -2\/15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(3) + sqrt(12)\/sqrt(4)*5.\nAnswer: 4 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 6:35 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54706?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (6\/3 - 9). Suppose -i + a = c*a, -2*a = -4*i + 14. What is the units digit of (i - 1)\/(1\/5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 341.0519l to millilitres.\nAnswer: 341051.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*x + 2. Suppose -c - x = -1. What is the remainder when c - -17 - (-4)\/(-2) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-635*n**4 + 1286*n**4 + 922*n**2 - 650*n**4)*(n + 0 + 0).\nAnswer: n**5 + 922*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l - 14. Let z be a(11). Let d be (-24)\/16*z\/(-42). Let y = -37\/15 + 8\/3. Put d, y, -3\/5 in increasing order.\nAnswer: -3\/5, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*p + 16 = 0, -3*q + 4*p = 2*q - 23. Suppose 2*n = q + 23. What is the remainder when n is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.80214485 to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 - 44. Suppose 0 = q*g + t - 10, 42 = 4*g - 4*t + 2. Find the third derivative of 23*c**2 - 32*c**3 + 2*c**3 - g*c**2 wrt c.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56\/13*j**4 - 112\/13 + 10\/13*j**5 + 82\/13*j**3 - 200\/13*j - 4*j**2 = 0.\nAnswer: -2, -1, 7\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -2*i + 10, -i + 5 = -213*c + 209*c for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 i, and 1 s when three letters picked without replacement from eaesaezseeeaeeieee?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*(10 - 10 - c) + c + 0*c + 0*c + (2*c - 4*c - 2*c)*(4 - 5 + 2).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -12*g + 6. Let r(l) = -10*l**2 + 5*l + 5. Let w(d) = -d**2 + d + 1. Let t(m) = r(m) - 5*w(m). Determine t(z(f)).\nAnswer: -720*f**2 + 720*f - 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-93595\nAnswer: -9359.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -3907 = -3721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 31*a**2 + 6*a + 14. Suppose 49 = 5*o - 2*m, -2*o - m = -4*o + 20. Is y(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1698\/7 + -240. Is 4 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-1) + -2 + 5. Let u = 498 - 312. Suppose -h*r + s + u = 0, -5*r + 78 + 162 = -5*s. What are the prime factors of r?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46516 - 1144\nAnswer: 45372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-7))\/(33\/21 + -3)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10286326 a multiple of 659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 8:10 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (-1 + 3 - (14 - -8)). Find s such that -275*s**3 - 20*s**2 + 61*s**3 - 10*s**5 + 12*s**2 - k*s**2 - 31*s**2 - 164*s**4 = 0.\nAnswer: -15, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3221951, 6443900, 9665833, 12887744, 16109627, 19331476, 22553285, 25775048?\nAnswer: 28996759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**4\/4 + 4*x**3\/3 + 3*x**2\/2 + 3*x - 3. Let v be s(4). Solve 3*i + 5*j + 9 = -0*i, -5*j - v = 5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 47 and 66607.\nAnswer: 3130529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -661 (base 9) to base 12\nAnswer: -391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -7. Let t be 8\/(h\/3 + 3). What is the first derivative of 1 - p**t - 2*p**4 + 5*p**4 + 0*p**4 wrt p?\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57.01 - 7.19. Let v = -3.7 - g. What is v rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/72 and 33\/128?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 683943*z + 340904*z + 343041*z + 1 - 2.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of m**3\/15 + 149*m**2\/5 - 1208*m\/5 - 3362. Let n(y) = 0. What is y?\nAnswer: -302, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.09848, 4, -2\/13, 15, -2\/5, -12, -1\/2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 2816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/6 - 1\/2. Let f be 3\/(-27) - (-142)\/(-18). Let y be (-39)\/(-312) - (-3)\/f. Which is the closest to h? (a) -4 (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3\/7, 90.22 in decreasing order.\nAnswer: 90.22, -3\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -0.3 (b) -2 (c) 402 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 8. Let s = -2 + 6. Let t = -0.2728 + 0.0728. What is the nearest to t in -1, y, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**6\/60 + d**5\/10 + d**4\/24 + d**3 + 12*d**2 - 3*d. Let z(b) = 6*b**3 - 17*b**2 - 3*b - 17. Determine 17*r(a) + 6*z(a).\nAnswer: 2*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 1\/3*j**3 + 112*j**2 + 0*j + 0 - 1\/4*j**4. Let i(g) = -g + 7. Let c be i(5). Calculate z(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(2\/3))\/m)\/(m\/(m*m*m*m**(2\/5)*m*m)))**(-7)*(m**(-2\/7)\/(m**(-5)\/m))\/((m\/m**(1\/6))\/m**(-2)) assuming m is positive.\nAnswer: m**(-2281\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-161*k - 10*k - 141*k)*(3 + 3 - 2)*(0*k**2 - 4*k**2 + 3*k**2).\nAnswer: 1248*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)\/t)**26\/(t**(-1)*t*t**(-3\/4)) assuming t is positive.\nAnswer: t**(-205\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11664, -23281, -34898, -46515?\nAnswer: -58132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 103115 (base 8) in base 2?\nAnswer: 1000011001001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 10*z**2 + 3*z + 33. Let m be a(-10). Let l(p) = -p + 3. Let u be l(-4). Solve m = 4*x + u, 2*o + 3*x = -1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/11*(-198)\/9\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 534.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/4)\/(13\/(-52)). Let u be -3 + (-362)\/(-36)*6\/20. Does d = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8713417 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53.5 - 53.6. Let g = -9 - -13. What is the nearest to g in l, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**2\/2 + 1393*t\/2 - 4161 = 0.\nAnswer: 6, 1387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*g + 50 = 0, 0 = 2*j - 0*j - 3*g - 20. Suppose -2*a - 1 = -5. Find the first derivative of -4 + 6 - 10*b**a - 1 + j wrt b.\nAnswer: -20*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 854 = -5*g, -j + 514 = -g + 4*g. Suppose 41 = 2*n + 3*p - 65, -4*n + g = -4*p. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w - w - 5847620623*w**2 + 5847620629*w**2.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 88\/(-5082)*-55*(-24)\/(-10)*-1\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-1))\/(12\/9). Suppose 0*t = -3*t - x. Let a = t + -5. Are a and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-15)*430\/1806)\/(52\/(-14))\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101460\/11 + 9224. Which is the nearest to -0.2? (a) -4\/3 (b) 0.2 (c) x (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-20)\/(-6))\/((-2)\/(-6)). Suppose -2826 + 2912 = 43*s. Solve 2*g - 3*g + i = 4*l, -4*l + s = 5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6872, 14152, 21430, 28706?\n\"Answer: -j**2 + 7283*j - 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 20 = 5*f, 5*f - n = -0*f + 40. Suppose 0 = 3*p - 43 - 8. What is the remainder when p is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 12142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 10 - 10 = 0. Suppose 5*l + 2*y = 60, 2*l - 5*y + o*y = 24. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2 + 5 + (3 + sqrt(425) - sqrt(425)))**2 + -2.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4425*q + 70980 = 2605*q for q.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 47156766 to the power of 1\/2, to the nearest integer?\nAnswer: 6867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 291564?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 7*n**2 - 4*n - 12. What is the lowest common multiple of 8 and x(8)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*n + 5*m, -4*m - 6 = -2*n - 0*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 124 - 107. Suppose 12*h = o*h + 485. Let k = h - -101. Which is the second smallest value? (a) -1\/9 (b) k (c) 0.12 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 5. Suppose -9 = -g*q - 1. What is the highest common divisor of q and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87419456?\nAnswer: 2, 19, 29, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 5*o - 6. Let t be n(-4). Let f be (-2 + 0 - -2)\/t. Solve -3*p = 5*j + 3, -p + f*p = -3*j - 13 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 362 (b) 0 (c) 2\/11 (d) 0.2 (e) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p - 30 = 2*f, 2*p + 543*f - 1 = 538*f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, u: 2}. Give prob of picking 2 b and 1 u.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 1. Let x(h) = 0 + q*h**2 + 2*h**2 + 0. Let r(n) = 2*n. Determine x(r(z)).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 15 = -m, 7 = -4*h + 3*m. Let y(j) = -3*j - 4. Suppose 0 = 2*f - 5*f - 6. Let g be y(f). Solve 3*k = -3*z - 9, -z + g*z + 2*k = -h for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/3)*h\/(h**5*h))**28\/(h**(-2\/5)*h\/(h*h**(2\/5))*h*h)**(-26) assuming h is positive.\nAnswer: h**(-1352\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from shnhhhhhhshhhh. Give prob of sequence nss.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**5\/50 + s**4\/30 - s**3\/15 - s**2\/5 - s - 3. Let r(j) be the first derivative of f(j). Factor r(t).\nAnswer: 2*(t - 1)*(t + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 - 62. Let r(s) = -s - 5. Give r(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29 and 638.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 193 by -2.\nAnswer: -193\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 160*b**2 - 66545*b - 6240 = 0.\nAnswer: -3\/32, 416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(756)\/sqrt(192) - -1*sqrt(2268))*-5.\nAnswer: -375*sqrt(7)\/4 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvh when three letters picked without replacement from {v: 4, h: 3, q: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 a factor of 32601943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 - -128. Calculate the remainder when c is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**4 - 10*d**3 + 15*d**2 + 20*d - 20.\nAnswer: -5*(d - 1)**2*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + a - 1. Let b(i) = -3*i**2 + 9*i - 6. Let z(r) = -b(r) + 4*n(r). Calculate z(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290 = 14*d - 19*d. Suppose 3*p - d = 920. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of a**4\/4 - 3*a**2\/2 + 2*a + 120. Solve f(v) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 110*m**3 - m**2 + 1. Let g be p(1). Let f = g - 21. Suppose 2*j + 2*j - f = 5*d, 5*j - 100 = 4*d. Calculate the least common multiple of j and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 6*q**2 + 5*q + 2. Let t be l(5). Suppose -a + 2*x + 2*x = 3, -t*x = -2*a + 6. Suppose 7*g - 30 = a*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2 + 18 = 0. Suppose 6*n = n + 2*m - 5, 0 = r*n + 2*m + 5. Let l = 116 + -115. Which is bigger: n or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 437615*j**4 - 103752*j?\nAnswer: 5251380*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 181544, 726165, 1633866, 2904647, 4538508, 6535449?\nAnswer: 8895470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22114 + 12130?\nAnswer: 34244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 940 and 8300.\nAnswer: 390100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 7*m**3 - 61*m**2 - 14*m - 36. Let p be b(9). Solve -k + n + 2 = 0, 36*k - 39*k - n - 10 = p for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76891063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 3*p - 4*k - 37 = 0, k - 2 = 0. Let n = 95 + -64. Suppose 4*h + 0*h + n = 3*z, -z = -h - 9. What is the greatest common divisor of p and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/3087 and -11\/441?\nAnswer: 3087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.2*11.\nAnswer: -57.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 10*k - 11. Let f be c(-10). Let o be (-4)\/f*1\/2. What is the third biggest value in 0.2, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1671266741147 plus -0.17?\nAnswer: -1671266741147.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 63758440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -3, -2\/3, -2\/11 in increasing order.\nAnswer: -3, -2\/3, -2\/11, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -5*t - 10, -2*n + 0 = -4*t - 2. Let r = 155100 - 155068. Put n, r, 3, 5 in increasing order.\nAnswer: n, 3, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234198971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 183 = m. Is 61 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5387473 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -402831031.04+-3\nAnswer: -402831034.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4 + 16*v**3 + 18*v**2.\nAnswer: -2*v**2*(v - 9)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 - 9. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -124 at least -123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**3\/4 + 243*a**2\/4 - 177*a + 117 = 0 for a.\nAnswer: 1, 2, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xoooooox. What is prob of sequence oooo?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -62. Let k = q - -85\/2. Which is the nearest to k? (a) -1 (b) 2\/3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*q - 197*q + 3673 = -6177 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -5*f**4 + 5740*f**3 + 5775*f**2 - 34470*f = 0.\nAnswer: -3, 0, 2, 1149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 110 - 106. Calculate the highest common factor of m and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 867.3961 centimeters?\nAnswer: 8673961000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 8*w**2 + 8. Let r be s(-8). Suppose 3*o + 5 = 4*o. Let p = r - o. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2434 - -10578. Does 24 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from xxxxkkxxxkx?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 991398218 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 146 * -0.5\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 76 = 9*t - 385, -2*t + 66 = 5*s - 7*s for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 + 49. Let q(p) = 4*p - 13. Does 19 divide q(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305 is divided by 105?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -3, 0, -54 in descending order.\nAnswer: 4, 0, -1, -3, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 + 42 = -16*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -f**6\/18 + 13*f**5\/15 - 15*f**4\/4 + 11*f**3\/9 + 35*f**2\/3 - 1781. Determine p, given that o(p) = 0.\nAnswer: -1, 0, 2, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 22 in descending order.\nAnswer: 22, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13209 is divided by 119.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 399 - 4500*a - 803 + 404.\nAnswer: -4500*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5516258 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 963*a**2 - 1051*a**2 - 16 + 65 - 12 - 20.\nAnswer: -88*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.05, 1\/3, 3, 3.4, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -90*l. Let w(o) = -1844*o + 14. Determine w(s(i)).\nAnswer: 165960*i + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 144.9 (b) -4454 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -3*y + 3*g - 68752 + 68760, 24 = 2*y - 4*g for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 12*w**2 + 4*w. Let r be l(2). What is the tens digit of 1*(0 + -1) - (-8 - r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 14*o**2 - 5*o + 14. Let z(r) be the second derivative of -1\/3*r**3 + 5\/12*r**4 + 0 + 5\/2*r**2 - 3*r. Let y = 475 + -472. What is y*j(t) - 8*z(t)?\nAnswer: 2*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 3*p = -15. Suppose -2*d + p*y = -8, y - 5*y = -d + 7. What is the third smallest value in 0, d, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 2*y + 172 - 7, -3*y = -3*d + 99. Suppose -3*m - d = -0*m. Let k = m + 22. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaawwwaaaiwaaiia. What is prob of sequence awaw?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 - 36*t + 25. Let s be z(22). Let u = 748 + -152. Let q = u - s. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 4*g - 24 - 10, -4*g = -t + 26. Suppose t*u = 2*u. Suppose 2*k = -u*k + 6. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 11*i - 18. What is w(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eq when two letters picked without replacement from {d: 2, q: 4, e: 2, c: 5, p: 4}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35625531*s**3 - 77863454*s wrt s?\nAnswer: -213753186*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-2))\/(-2*3\/(-24)). Suppose -k*h + 427 + 263 = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/3, -1, -5, -0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 630, 526, 430, 342, 262?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3\/4 + 534*j**2 + 378063*j\/4 - 382347\/2.\nAnswer: 3*(j - 2)*(j + 357)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1764, 933, -452, -2391, -4884, -7931, -11532?\n\"Answer: -277*s**2 + 2041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*(0\/6)\/11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40848 - -25321. What are the prime factors of y?\nAnswer: 66169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1271 and 20027967?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 14013 divided by -5\nAnswer: -14013\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56.6 + 56.7. Let z = 415.3 - 415. Let h = 1 - 2. Which is the second biggest value? (a) h (b) z (c) i (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/425120 and 49\/340096?\nAnswer: 1700480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 + 13 + -16 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3348 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4509, 17947, 40343, 71697, 112009, 161279, 219507?\nAnswer: 286693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 m when two letters picked without replacement from {m: 2, e: 1, q: 9, k: 6, z: 1}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**5\/60 - q**4\/12 + q**3\/6 + 3*q**2. What is the remainder when 78 is divided by h(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 26 = 132. Suppose -7*i - 245 = -5*z - 2*i, z - h = 3*i. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32286411?\nAnswer: 3, 23, 51991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61074 and 2984332.\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 1\/2*q**4 - 2*q - q**2 - 1\/3*q**3 - 7. What are the prime factors of s(3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-2\/5))\/(s\/(s*((s\/(s*s*s**(2\/7)))\/s)\/s)))**(-17\/4) assuming s is positive.\nAnswer: s**(561\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 51964301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 58*q**2 + 12*q + 1045. Calculate the remainder when l(-58) is divided by 70.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - 3 - -3*2. Let f = m - 4. Put 4, 3\/4, f in descending order.\nAnswer: 4, f, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14501 - -14501. Is 2\/2787 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a - 32*a - 180 = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.14, 133, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 513362800 rounded to the nearest one million?\nAnswer: 513000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 302\/6 - (-36)\/(-27) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cyk when three letters picked without replacement from nknycnykckk.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 23 + -18 - (7 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -126\/365 - 4\/73. Which is the nearest to q? (a) -2\/3 (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**2 + 9 + y - 4*y - y**3 - 4*y**2. Suppose 2*p + 6 = 5*o - 3, 0 = -5*p + 4*o - 31. What is the units digit of u(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m*t**5 - m*t**2 - 97*m*t + 3*m + 15*t**5 wrt t?\nAnswer: 40*m*t**3 - 2*m + 300*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3 + -98)*(83 + -57)*(-1 + 0).\nAnswer: 2, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a. Let v be o(5). Suppose v = l + 3. What is the third derivative of -3*s**l - 3*s**2 + 3*s**3 + 2*s**2 wrt s?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338*v - 124*v - 214*v + 34*v**2.\nAnswer: 34*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -2*m**3\/3 - 7. Let q(n) = -3*n**2. Give q(k(d)).\nAnswer: -12*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -12*n**2. Let v(w) = 314*w**2. What is a(v(d))?\nAnswer: -1183152*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 21, 60, 109, 174, 261, 376, 525?\n\"Answer: k**3 - k**2 + 35*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-72)\/162*1662\/16. Let j = -375\/8 - l. Find the common denominator of -4\/9 and j.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p\/((p*p*p\/(p\/(p\/(p*p**(2\/13))*p)))\/p))*(p\/(p\/(p*p**(1\/2)\/p)))\/p*(((p\/(p\/((p\/p**(-1\/2)*p*p)\/p)))\/p)\/p*p)\/((p*p**3)\/p*p) assuming p is positive.\nAnswer: p**(-15\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 446.\nAnswer: -5\/446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - 1103?\nAnswer: -10a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38890?\nAnswer: 2, 5, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + 822\/15 + 2. Do 60 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 2*l + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -1 - 10. Calculate the remainder when 28 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1890223 = 1890206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 4*z = 3*z - 2, -q + 16 = -5*z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 14*q + 93. Give p(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/3)\/(3 - 30\/9). Let r be ((-117)\/(-4))\/3*-4. Let n = r - -353\/9. What is the smallest value in -0.5, o, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*p**3 + 1929*p**5 - 1960*p**5 - 4*p**3 - 11*p wrt p?\nAnswer: -620*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(512))**2.\nAnswer: 32*sqrt(2) + 513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 - -93. Which is the nearest to -1\/4? (a) y (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/110 and -71\/12.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.81 - -6.5. Let t = 0.09 - v. Let a = -3 - t. Sort 2, a, -1\/3 in descending order.\nAnswer: 2, -1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -m. Suppose -4*t + 2*i + 18 = 0, -t = 2*t + 5*i + 6. Solve -3*g - t = -m for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -17*g**4 - 11*g**3 + 3*g. Let t = 6 - 17. Let h(m) = 6*m**4 + 4*m**3 - m. Let d(q) = t*h(q) - 4*y(q). Find the second derivative of d(v) wrt v.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 25. Let u(l) = -63*l + 8*l + 15*l + 5*l + 13*l. What is b(u(v))?\nAnswer: 484*v**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6189 - 18568\/3. Is -6.33 at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -306 divided by -18.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.04 + -0.36. Let x = 73.1 + -69. Let q = x - 2.1. Which is the closest to f? (a) -5 (b) q (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1257, -1237, -1217?\n\"Answer: 20*h - 1277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wqdg when four letters picked without replacement from {d: 1, w: 3, j: 1, q: 1, s: 4, g: 2}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345612 + 345612 + 20*i**2.\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 1. Let b(t) = -6*t**2 + 5. Let o(q) = b(q) + 5*n(q). Let y = 73 - 71. Let h(k) = 2 - 7 + 5 - 14*k**y. Give o(h(d)).\nAnswer: -196*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*x = -2*v + 69, 2*v - 9 = -x. Calculate the remainder when x is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -28, 26, 82, 140?\n\"Answer: x**2 + 51*x - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 7.5. Let i = j + -0.4. What is the biggest value in i, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 405066403\/13 or 31158953?\nAnswer: 31158953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 5)*(-1)\/2. Let j(a) = -a**2 - 2*a - 2. Let m be j(l). Let h(n) = -n - 4. What is the units digit of h(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 + 20*a - 15. Determine g(11).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28525034 by -6.\nAnswer: 14262517\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -18 - (-5 + -1) - 9.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, j: 7, a: 1}. What is prob of picking 1 s and 1 a?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**2 + 129495*x + 221787100 = 0. Calculate x.\nAnswer: -24055, -1844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/((-195)\/13) + (1 - 14)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/19 - 18*j**2\/19 + 46*j\/19 - 30\/19.\nAnswer: 2*(j - 5)*(j - 3)*(j - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 19\/2 (b) -5 (c) 0 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -9*h - 2. Let c be (-3)\/(-5 + 4)*-1. Is f(c) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35399, 31940, 28481, 25022, 21563, 18104?\nAnswer: 14645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002404 to 7 decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 - 2*q - 1. Let r(t) = -321*t**2 + 642*t + 321. Calculate -1605*p(u) - 5*r(u).\nAnswer: -1605*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1835522 a multiple of 227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, 645594, -60?\nAnswer: 645594","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*k = 17231 + 45013. Does 91 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/180 and 113\/8172.\nAnswer: 40860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11022 (base 3) in base 8?\nAnswer: -164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h**(1\/13)*h)*(((h*h*h**8\/h)\/h)\/h)\/h*h)\/((h**(2\/29)\/h)\/h*h*h*h**6\/h)*((h**(-3\/4)*h)**46)**(-2\/29) assuming h is positive.\nAnswer: h**(777\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1364316 and 63732.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**5*g*(g*g*((g**(4\/9)\/g)\/g)\/g)\/g)\/(g**(-1\/9)\/(g**(2\/11)\/g)) assuming g is positive.\nAnswer: g**(469\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -95*x + 97*x + 578. Let a = x + 291. Calculate the lowest common multiple of a and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*r - 3*r - 62*r + 177*r - 55*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33325 and 28595?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**3 + 165*b**2 + 110*b + 2300. Determine h(-82).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105274032 and 576.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41580 by 36.\nAnswer: -1155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.6064364 micrometers?\nAnswer: 0.0006064364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2011020110022 (base 3) to base 6.\nAnswer: -40323012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 - -11. What is the remainder when 126 is divided by u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-154))\/((-2)\/(16\/6))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -145*c*f**4 + 68*c*f**2 - 2*f**6 - f**5 + 104*f wrt f.\nAnswer: -3480*c*f - 240*f**3 - 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - x - 26 = -5*x, -3*x = 2*c - 17. Let k be 3*5*1\/3. Solve -c = k*d - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13241 (base 5) to base 15\nAnswer: 4b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 0*x + 5*x - 3*x. Let f(b) be the third derivative of 0*b + 0 + 9*b**2 + 0*b**3 + 1\/20*b**5 + 0*b**4. What is s(f(a))?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 16*r - 13. Let c be o(16). Let n = -11 - c. Factor -n - 3*y**2 - 2*y**2 - 20*y - 12 - 1.\nAnswer: -5*(y + 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1080)\/300)\/(4\/(((-140)\/(-49))\/((-34)\/(-7)))).\nAnswer: -9\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 11:36 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 703277 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24e8 + 4?\nAnswer: 24ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*u**4 - 881*u**3 + 892*u**2 + 201*u - 234 = 0 for u.\nAnswer: -1\/2, 6\/11, 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66\/1254)\/((-53)\/106).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -36 - 21*m**2 + 50*m + 7*m + m**3 - 13*m + 12*m = 0.\nAnswer: 1, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 0, -4, -2, -5 in descending order.\nAnswer: 0, -2, -4, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 equal to -97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 25*i - 3. Let d(b) = 15*b**2 - 119*b - 1. Calculate the remainder when p(2) is divided by d(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 98 - 95. Suppose 3*f - 5*n = -14, 22 = 4*f + c*n + 2. Differentiate y**2 - 1 - y**f + 13*y**3 - 32 - y**2 wrt y.\nAnswer: 39*y**2 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 + 39. Solve 0 = g*d - 2*d + 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16774 and 502.\nAnswer: -8420548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d88 (base 16) in base 5?\nAnswer: -220220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9, 29, 93, 183, 299, 441?\n\"Answer: 13*f**2 - f - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 95 and 6?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 27*x + 140. Let l be f(-10). Put 0, -1, 1, l in increasing order.\nAnswer: l, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 22. Suppose 4*f - 5*g = 153, -g + 1 - 6 = 0. What is the remainder when f\/3*1*3 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 4*u + 4. Let j = 151 - 150. Suppose o - 5*g + j - 5 = 0, 0 = 2*g. Give p(o).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in -2\/9, -5, 3\/16?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/9 - 2\/6. What is the remainder when (b\/(-5) + -1)\/((-6)\/140) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bt when two letters picked without replacement from ttedibww?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 1:28 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20644?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -125, -298, -577, -962, -1453?\n\"Answer: -53*y**2 - 14*y - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.71714kg in milligrams?\nAnswer: 4717140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14980795 is divided by 2140105.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -9*t**2 + 6*t + 75. Let z be m(6). Sort -4, 1, z in decreasing order.\nAnswer: 1, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, i: 1, n: 2, p: 1, g: 1, k: 2}. What is prob of picking 1 v, 1 i, and 2 k?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - w + 5*w)*(5*w + 1 - 1)*(-99*w**2 + 20*w**3 + 99*w**2).\nAnswer: 400*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 255512 to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/128106 and -19\/11962383.\nAnswer: 789517278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (26 + -8)) + 9.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6485588.\nAnswer: 2, 1621397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2368 = 4*u - 12*u. Let y = 159 - -49. Let k = u - y. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 442.70289 nanoseconds in hours?\nAnswer: 0.000000000122973025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 9*c - 5. Let x(g) be the third derivative of -g**4\/4 + g**3\/2 + g**2. What is 5*s(h) + 8*x(h)?\nAnswer: -3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 57842?\nAnswer: -57830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 273474, 273447, 273420?\nAnswer: 273393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -6*z + 109 - 42, 2*z - 5*p = 79 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -29. Which is the closest to 0? (a) -0.4 (b) d (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 859 = 3*i, 0*i - 1286 = -3*b + 4*i. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302 = -6*f + 46. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5, -2*u - 3*r = u + 6. Factor -4*c**3 - 20*c**2 + 26*c - 4*c**u + 3*c**3 - 46*c.\nAnswer: -5*c*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24.3 + 28.3. Suppose 5*i + t = 5*t + 2, 2*i + 5*t - 14 = 0. Sort i, y, -2, -0.2.\nAnswer: -2, -0.2, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 422534763.\nAnswer: 3, 7, 67, 100103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-4))\/(57\/5400 + (-6556)\/(-550) + -12)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lg when two letters picked without replacement from lng?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -23*n**9\/252 - 8*n**5\/15 + 40*n**2 + 1. What is the third derivative of h(a) wrt a?\nAnswer: -5520*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in -2, -0.04, 5, -15.8?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 16*p - 124. What is the second derivative of 11*i**3 - 52*i + 11*i + p*i**3 wrt i?\nAnswer: 144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-2\/25))\/(h**(1\/13)\/h))**(3\/4)\/(h**(-1\/5)\/h**(-1\/4)*(h*h*h\/h**(-4)*h)\/h**(-2\/3)) assuming h is positive.\nAnswer: h**(-7034\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5 = 4*o + 3, -o = l. Let u = 0.3 - 0.2. Which is the second biggest value? (a) u (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 6686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*v - 35*v - 6*v + 264 + 43 - v**2 in the form m*v**2 + u*v + n and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -129 + 295. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-19)*j**(1\/72) assuming j is positive.\nAnswer: j**(-1367\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29369.\nAnswer: 43, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4953 is divided by 558?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 4*p - 60. Let s(o) = 2*o - 10. Calculate the remainder when s(22) is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20283220.\nAnswer: 2, 5, 1014161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 174 + 160 - 49 + 217 + 32 + 275*d**2 wrt d?\nAnswer: 550*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**8\/504 + 4*b**7\/945 - 61*b**6\/540 + 61*b**5\/135 - 23*b**4\/27 + 8*b**3\/9 + 634*b**2 + 4. Suppose o(c) = 0. What is c?\nAnswer: -6, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 7\/2, -1\/115, -0.133 in increasing order.\nAnswer: -28, -0.133, -1\/115, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -23, 27, -0.1, 4, -1\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-1))\/(-7 + 9) + 2. Solve 0 = l - h*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**3 - 3*i**2 + i - 4. Calculate u(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, d: 1, r: 11, f: 1, i: 2}. Give prob of sequence xfi.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-1\/9)\/s)\/(s\/(s*s**(-8))))\/(s*s**(-9)*s**(-1\/2)))**(-4) assuming s is positive.\nAnswer: s**(22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 624534 to the power of 1\/2, to the nearest integer?\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140, 286, 434, 584, 736, 890?\nAnswer: 1046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/6*f**4 - 19\/6*f**2 - 3\/2*f**3 + 3\/2*f + 10\/3 = 0. Calculate f.\nAnswer: -5, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -832889 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 6*s - 10. Let r be j(-7). Let p(i) be the second derivative of -2*i**3\/3 - 3*i**2\/2 - i. What are the prime factors of p(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 314 = 4*b, 2*l + 8 = -2. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (13 - 5)*9\/(-4). Let s = -3 - g. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62553 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1592 - -1596. Which is the closest to -0.04? (a) -0.7 (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -30\/1249, 54, 3, 0.2?\nAnswer: -30\/1249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 85788 and 388891302?\nAnswer: 2333347812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f + 87 - 233 = 96*f. Sort 1, 174, f in increasing order.\nAnswer: f, 1, 174","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**3\/3 + 128*f**2\/3 - 356*f\/3 + 232\/3 = 0. Calculate f.\nAnswer: 1, 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5\/7)\/k**(-1))\/(k**(3\/34)\/(k\/(k\/(k*k*((k*k**30\/k)\/k)\/k*k*k*k)*k)*k)) assuming k is positive.\nAnswer: k**(7901\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 - 34*h + 4. Let l be p(17). Let i(t) = l - 2 + 339*t**2 - 2 - 337*t**2. Let b(c) = -10*c**2 + 13*c**2 + 18*c**2. Calculate b(i(f)).\nAnswer: 84*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -23 in ascending order.\nAnswer: -23, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60 - -60.054. Let u = -12475.05377 - -12475. Let j = t + u. Round j to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2896165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 42 = -150. Let h = l + 141. Calculate the remainder when h is divided by 24*(-5 + (-154)\/(-28)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2027558?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 l when two letters picked without replacement from rlhlhej.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.15338 - -0.05338. Which is the third biggest value? (a) -0.1 (b) y (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 8 - (-32)\/12?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1\/8, -3, 38, 2\/9 in increasing order.\nAnswer: -4, -3, -1\/8, 2\/9, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83358 is divided by 451?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven quarters of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = a + 65. Suppose -10*r - 15 = -a*r. Put -2, r, -4 in decreasing order.\nAnswer: r, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 883 - 8819\/10. Let o = -59 - -46. Find the common denominator of m and 23 + o - (-189)\/(-30).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305*d**2 + 5*d - 5*d.\nAnswer: -305*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**3 + 26*s**2 + 176*s + 2701. Give y(-17).\nAnswer: -2603","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 2*w + 3. Suppose -3*t + 2*v + 13 = -12, 5*v = 20. Calculate the remainder when t is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*s**2 - 3*s**3 - 7*s**2 - 12*s**2.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 64*y**2. Let m(q) be the first derivative of -11*q**2\/2 + 1593. Calculate m(b(o)).\nAnswer: -704*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a5 (base 16) in base 6?\nAnswer: 1541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 648929*i**3*y**3 + 6*i*y**3 - i + 3734*y wrt i?\nAnswer: 3893574*i*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 36*q**2 - 39*q + 14. What is the tens digit of v(-35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 0*j**4 + 1\/20*j**6 + 0 + 0*j**3 - 1\/60*j**5 + 0*j - 3*j**2. What is the units digit of a(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppqqppppp. Give prob of sequence pp.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 - -4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 39 = 5*d - d, 2*i - 42 = 4*d. Let h be d\/(-6)*8\/12. Is h bigger than 9\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 13*y - 6. Let v be a(13). Sort 1, v, 3 in ascending order.\nAnswer: v, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 175, -7, -265, -605, -1033, -1555, -2177?\n\"Answer: -k**3 - 32*k**2 - 79*k + 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -3, -74?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/3056820 and 149\/270.\nAnswer: 27511380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r + 2 = -2*t - 18*r, -2*r = -t - 1. Put -5, t, 1 in ascending order.\nAnswer: -5, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 3*p**2 + p + 8. Let s be b(-2). Factor 5*z**3 - 42*z**s - 3*z**3 - 54*z + 14*z - 4*z**3.\nAnswer: -2*z*(z + 1)*(z + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 5. Suppose -3*g + 2*p = 0, -2*p = -g - z - 1. Let -2*a**2 + g*a**3 + 0*a + 2*a - 2*a = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*(-3)\/(-288))\/(2\/(-4)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20228 (base 9) in base 16?\nAnswer: -33fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/6)\/((18\/4)\/(-3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.26 - -2.74. Let d be ((-2)\/6 - 0)*2. Which is the second smallest value? (a) d (b) 0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/7))**(5\/9)\/(h*(h**(5\/2)\/h)\/h*h*h**(-9)) assuming h is positive.\nAnswer: h**(799\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 7:30 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5636 times 1.54?\nAnswer: 8679.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5961 from 30.52.\nAnswer: 5991.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 3:35 PM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 433 = 4*g - g, -g = 2*c - 219. Let q = c + -64. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g - 2. Let v(h) = 4*h - 1. Suppose 4*a - 12*w + 15*w + 36 = 0, 4 = -4*a + 5*w. Calculate a*j(l) + 5*v(l).\nAnswer: 2*l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -13\/3 (b) -3\/2 (c) 1 (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1964576, -1964577, -1964578, -1964579?\nAnswer: -1964580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w - 5. Suppose t + 138 = 6*t - 4*z, -159 = -5*t - 3*z. Let s be 12\/(-5) + (-18)\/t. Calculate the smallest common multiple of i(s) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1029 a factor of 200080977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-3) - 4\/30. Suppose 0*a + 22 = 4*y - 2*a, 2*y = -a + 5. Let u = -5 + y. What is the third smallest value in u, g, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -8*l. Let s(h) = 8*h. Calculate 7*s(f) + 6*t(f).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + 1 - (5 - 6). Suppose -4*k + 87 = -2*j + p, k - 2*j = 28. Calculate the common denominator of 1 + (-7)\/((-28)\/k) and -103\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12b (base 15) to base 7\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1354450 to the nearest integer?\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + -3 + -2 - 88. Let s be ((-300)\/c)\/((-5)\/((-150)\/(-4))). Are 1\/4 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*h + 116 - 1909 = 43*h for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4986449963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -63 + -50 + (10 - -51)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (7 - -7) - 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 1 + -79 - 1. Let x be (k - 0\/(-3))*1. Let h be (-26)\/x - 2\/10. Is 0 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 7 - 10. Let j(r) = -r - 1. Let o(n) = 6 - 4 - 3. Calculate w*j(c) - 3*o(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.3 - 10.5. Which is the biggest value? (a) -25 (b) 5 (c) 1\/9 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 - x**3 + 4*x**3)*(18*x - 135*x + 19*x)*(-x + 0*x + 2*x).\nAnswer: -98*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -48798251?\nAnswer: -48798251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2107\/6 (b) -0.159 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 25*y**2 + 22*y + 52. What is t(24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -191885\/29 - -6617. What is the closest to 3 in x, -0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqqq when four letters picked without replacement from qdqqfqvdfqvd?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -368*f*m*u**2 - f*m + 2*m*u - 120*u**2 with respect to f.\nAnswer: -368*m*u**2 - m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**3 - 42*j**2 + 37*j + 8. Let z(b) = -14*b**3 - 299*b**2 + 260*b + 55. Let d(v) = 15*m(v) - 2*z(v). What is d(-17)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*7 - (-11 + 14). Calculate the remainder when 44 is divided by k*((-1)\/2 - 1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 40*u**2 + 127*u + 2705. Calculate c(-34).\nAnswer: 5323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1 + 60)*-1)\/(17\/(-656948)). Suppose 3*q - z = -4*p, 0 = 5*p - 0 + 5. What is q rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8158 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -60.6, -3\/7?\nAnswer: -60.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*k + f, 4*f = -4*k + 6*f + 10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 15*d = -36. Does 3 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 164462.6 kilograms?\nAnswer: 164462600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 3*g**2 - g. Let h be t(1). Let m be ((h\/36)\/1)\/((-15)\/(-150)). What is the third smallest value in -2\/13, 5, -0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - k - 19, -5*x - 4*k = k - 25. Let r = 11 - x. Find the third derivative of -3*y**2 + 5*y**2 + 0*y**3 - 2*y**r wrt y.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/167 (b) 8 (c) -1119\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 99*r. Let o(i) be the second derivative of -i**4\/4 + 48*i + 4. Give o(w(b)).\nAnswer: -29403*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 286628 - 109491823\/382. Find the common denominator of x and 71\/4.\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 6:05 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 348262 - 533562. What is d rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 8:34 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16.75 + 20.75. What is the second biggest value in 0, 2, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266900057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1569.626343 rounded to 1 decimal place?\nAnswer: 1569.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2151347 = -104*w + 2154467 for w.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 4*b = 0. Let s = -1 + 10. Suppose b = -2*q + s + 1, 0 = 3*l + 5*q + 92975. What is l rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317904737 is divided by 431?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 3*t - 4*j, -8*t - 12*j + 4*j + 16 - 132 = -4*j for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 2512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -742 - 805 = 221*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 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: Sort -5660, 0, -5, -132, -10, -2 in increasing order.\nAnswer: -5660, -132, -10, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*v = -61*v + 1512. Let j = -189 + v. Solve -3*c + j*c = 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*a + 1 + 1 - 2.\nAnswer: 39*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2838 in -0.2, 1\/7, 10\/37?\nAnswer: 10\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 26*a - 5 = 31*a, -a + 91 = 19*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 483 - 392. What is the highest common factor of q and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -19720?\nAnswer: -19719.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 843030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = r + 576. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34598376 divided by -3?\nAnswer: 11532792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1881 + 1881.000000807. What is l rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/sqrt(5)*-5)\/((sqrt(700)*-4)\/sqrt(7))*-4.\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h - 7*h - 4*h)*(-2 - 2*h + 2) - 43*h**2 + 22*h**2 + 19*h**2 + (0 - 1 - 1)*(1 - 1 + h**2) + (-4*h**2 - 4*h**2 + 6*h**2)*(6 - 1 - 3).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*i + 17*i - 66 - 47 - 243*i**2 + 244*i**2 wrt i?\nAnswer: 2*i + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*10 + (488\/96 - (1 - 14)\/(-156))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3733?\nAnswer: 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 8:08 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -56 - -23 - (-37 + 7 - -9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from saukcru?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 11:54 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 8:17 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/33)*k\/k**(-9\/5)*k)\/((k\/(k\/(k\/k**4)))\/k**(-4)) assuming k is positive.\nAnswer: k**(472\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8900 - -81. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1439 * 0.176906\nAnswer: -254.567734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1405 divided by 8934\nAnswer: -1405\/8934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*f**2 - 108*f**2 - 4*f**2)*(1 + 1 - 1)*(-3 - 11 + 5) in the form m*f**2 + c*f + i and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**2 - 2*p - 2. Let d(j) = 4*j**2 - 3*j - 3. Let u(h) = -2*d(h) + 3*w(h). Let c(y) = -38*y**2. Calculate c(u(m)).\nAnswer: -38*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 8:31 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459571566.\nAnswer: 2, 3, 281, 272581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from yykkkcccnyykkcy.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -472780 by -77.\nAnswer: 6140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*z - 475 = 0, 19*c + 2*z + 479 = 16*c. Let p = 166 + c. Solve -p = 3*g + 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1001, 4, 0.04, -1\/6, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 0) + 7 + (33 - 38)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in centimeters?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*a + 15, -4*q + 3*a = 72 - 12. Let d(o) = o**2 + 18*o + 45. Give d(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/(-15))\/((-1)\/(-5)). What is the units digit of p\/(-4) - 68\/(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 5*g + 11 = 0, 3*d - 97 = -2*g - 109 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*x**2 + 10 - 25*x - 6*x**2 + 16*x**2 - 5*x**3.\nAnswer: -5*(x - 2)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l + l = 72 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -406 - -398. Let n be ((-3)\/(-6))\/(2\/(-30)). Which is smaller: n or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 3116\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89 + -83. Let q(i) = i**3 + i**2 - i. Let d(w) = -8*w**3 - 6*w**2 + 6*w + 5. Calculate j*q(v) + d(v).\nAnswer: -2*v**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 280.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 2\/9 (b) 12 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + 0)*-3*1.\nAnswer: -21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 4*l + 4. Let w be n(-5). Suppose w = 2*a + 3*b, b - 5 - 2 = -2*a. What are the prime factors of (-2)\/(-3)*9\/a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**4 - 459*u**3 - 20182*u**2 - 159360*u + 180000 = 0?\nAnswer: -30, -12, 1, 500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(1*2) - -7. Suppose 0 = -1706*j + 1710*j - 20. Let n(m) = m**3 - 7*m**2 + 3*m - 4. Let u be n(7). Solve j*v - i = u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3485455 divided by -697091.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 - 166*f + 168.\nAnswer: -2*(f - 1)*(f + 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -18) + -3 + (1 - 11)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -6*a**2 + a + 2. Determine s(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 6.4. Let k = 1.03 + -0.67. Let w = 0.86 - k. Which is the nearest to -0.1? (a) w (b) h (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 634746 is divided by 52858?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2 + 11*f - 20. Determine m(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**2. Let i(u) be the first derivative of u**5\/15 + u**2\/2 - 3. Let d(z) be the second derivative of i(z). Determine o(d(c)).\nAnswer: -32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -80894401+0.07\nAnswer: -80894400.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 35085?\nAnswer: -4\/35085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - k = 3*k + 17, 3*y + 2*k = 19. Let p be (3 - 2\/1)\/(y\/(-15)). What is the units digit of (-644)\/(-12) - 1\/p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1608 by 1275.\nAnswer: 536\/425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7994 + -7994. Suppose -o = z + 3, 3*o - o + 7 = -z. Which is the second biggest value? (a) 1\/7 (b) p (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4 - 1 = 0. Let w = -2 - p. Factor -7\/3*x**3 - 2\/3*x - w*x**2 + 0.\nAnswer: -x*(x + 1)*(7*x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 662860 and 340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4616368 to the power of 1\/3, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 401 - 401. Suppose -7*n + 665 + 4039 = h. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -7*c - 4. Suppose -14588 + 4175 = -267*n. What is the smallest common multiple of n and x(-4)?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -85*u + 21. What is the tens digit of r(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -86*a + 40. Is m(-4) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9 - 5) + 5 - 0) + (-72 - (-4 + -24))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 20 (b) 2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42493 is divided by 220?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.94 + -14. Let z = 0.060006 + x. Round z to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g + 49*g + 9*g)*(-12*g**2 - 6*g**2 - 4*g**2) as f*g + s*g**3 + i*g**2 + c and give s.\nAnswer: -1254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -7*g + 5*g. Let b be (g + 0)*2 - -33. Suppose 0 = -3*q + b + 35. Solve -3*z - q = 5*j, -3*j - 3 = -z - j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - 4. Let n = -10.999909 - a. Round n to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a + 1. Let g be z(2). Let s be ((-8)\/(-12))\/((-1)\/g). What is the common denominator of 49 and (14\/11 + s)*2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.048 - -0.048. What is the smallest value in m, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + d**2 - d - 1. Let z be c(0). Let m be -40*z\/(-2)*-1. Let f = m - 11. Solve -2*v = 5*x + 8, 4*v - f + 3 = x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(36)\/(sqrt(12) + sqrt(12) + sqrt(12) + sqrt(588)*2) + sqrt(6)\/sqrt(2) + 3 + 3)**2.\nAnswer: -34128\/289 - 648*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + k**2 + k + 1. Let y(s) = s**2 - 17*s + 122. Determine d(a) - y(a).\nAnswer: -a**3 + 18*a - 121","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011000 - -10010100010?\nAnswer: 10001001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -5*k**3\/3 - 29*k. Let t(u) = -u**2. Give t(s(h)).\nAnswer: -100*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*(2*(2*sqrt(156) - sqrt(156)) - sqrt(156)))\/(sqrt(972)*1 + sqrt(48)\/sqrt(4)*5).\nAnswer: -2 - sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 6 = -u, -2*u + 0*u = v - 3. Let x(f) = -f**3 - 5*f**2 + f + 7. Let d be x(-5). Solve -u*s = -d*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, 1929, -5, -17?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11968 + -11378. Solve h = -10*g + 550 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62 by -31.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.13 - -0.13. Which is the nearest to 2\/9? (a) 1\/6 (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 3*q - 7. Let n be g(5). Suppose n*k + 0*k = 15. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3092 - -5038. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2411 and 242700904.\nAnswer: 2411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -15*o**3 + 57*o + 3*o - 7 - 193 - 5*o**4 + 70*o**2 = 0.\nAnswer: -5, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7943316 a multiple of 524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -376*r**2 + 8*r - 1439368 + 1439368 in the form f + q*r**2 + z*r and give q.\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -l + 3*h, -19*l + 45*l - 7 = 27*l + 3*h for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -306.837 rounded to 0 dps?\nAnswer: -307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -744*x**3 + 337*x**3 + 412*x**3 + 4.\nAnswer: 5*x**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14457062047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2200, -2199, -2196, -2191, -2184, -2175, -2164?\n\"Answer: x**2 - 2*x - 2199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) -2\/21 (c) -5 (d) 214 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 3, -295, -115 in ascending order.\nAnswer: -295, -115, -22, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4641161 or -4641162?\nAnswer: -4641162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 3 - 3) + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 6*q + 7\/6*q**2 - 1\/9*q**3 - 207. Suppose n(d) = 0. What is d?\nAnswer: -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17217 + -7983. Suppose -5*n - 156 = w. Let q be n\/(-39) + 10\/(-65). Calculate the highest common factor of 120 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 - -3 - 1 - -26?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 93 - 83 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 19*y**2\/2 + 860*y + 13981. Give q(-45).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 196?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -3. Let r = 21 + m. Let b = 25 + r. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 2*o - 30. Let p be i(7). What is the tens digit of 601\/p + 3 + (-64)\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 79 - 89 = 0. What is the smallest value in 7, -1\/3, h, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, c: 4, p: 12}. Give prob of picking 2 u and 1 p.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1981596 divided by -2.\nAnswer: -990798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 + -27. Let t be (8\/16)\/(1\/g). Calculate the greatest common factor of 18 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 16 + (0 + 25 - 8).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5337*t**2 + 2664*t**2 + 56*t**3 + 2673*t**2.\nAnswer: 56*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 58607*y - 2227078. Determine i(38).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*1932.\nAnswer: 579.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -6*o - 75. What is the common denominator of (o\/48)\/((-3)\/20) and ((-2100)\/135)\/(4 - 2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/2*(-72)\/45?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.02 - -0.02. Let v be 116\/10 - 102\/(-255). Suppose -v = -59*g + 56*g. Which is smaller: g or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -122\/3 - -41. Let h(u) be the second derivative of 0*u**5 - u - 1\/30*u**6 + 0*u**2 + 0*u**4 + b*u**3 + 0. Find the second derivative of h(m) wrt m.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-5 + 1 - (-7 - -9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) 20\/7 (c) -14\/5 (d) 12 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*n + 15. Suppose -y - 2*y = f - n, 4*f - 12 = -2*y. Suppose -4*c = -3*j + 895, 0 = 5*j - 2*c - y*c - 1501. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0023201 rounded to four decimal places?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -p**4\/6 + 4*p**3\/9 + 13*p**2\/3 + 20*p\/3 - 5575. Determine u, given that l(u) = 0.\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.06802421 - 7.068. What is c rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - b + 29*b)*(1 + 2 - 4)*(-86*b + 46*b + 81*b).\nAnswer: -1312*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + 29. Let d = h - 51. Which is smaller: -0.9 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37.19 + -36. Let i = 131.34142937 + -130.15143. Let k = l - i. What is k rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 500*i + 2660. Calculate k(-8).\nAnswer: -1340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bcczoz. Give prob of sequence cc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/34 and -53\/24.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -2258.\nAnswer: -2253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 414 not equal to 793?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 2*x**3\/3 + 15*x**2\/2 - 26*x - 3013. Give l(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 19*b + 9. What is w(14)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -24520 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k + 3 + 1 + 2. Let m(i) = -3 + 5 - 2 + 13 - 7*i. Calculate -9*b(v) + 4*m(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 - 844220?\nAnswer: -844204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 650, 1298, 1946, 2594, 3242?\nAnswer: 3890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.077, 3, 4?\nAnswer: -0.077","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 4:10 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136370630.\nAnswer: 2, 5, 11, 43, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000076833 rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -423413042 + 14?\nAnswer: -423413023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 63735869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 649.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -269, -2671, -5?\nAnswer: -2671","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 525687 by -3.\nAnswer: -175229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 768303?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -237 - -2a3?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178683, -357345, -536007?\nAnswer: -714669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14256 and 72.\nAnswer: 14256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1941380?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 26, 1\/13, -3, -1?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.1, -3\/8, -49.\nAnswer: -49, -3\/8, 0.1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (526 - 187 - 2541)*(0*m + 0*m - 2*m) to the form y + k*m and give k.\nAnswer: 4404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*j - 1 - 1)*(0 + 4 + 3).\nAnswer: -14*j + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 4 - (-10 - -1) - (24 + -8).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*1*39\/(-33).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*p - 29 = 70*p + 643 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 360*s + 362*s = 10, -5*l + 34 = 4*s. Find h such that 3*h - 2\/3 + 5\/3*h**l = 0.\nAnswer: -2, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-5))\/(5 + -10 + 1729\/350). Suppose -3*u = u - 16. What is the highest common factor of u and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 1682374*x - 8411848. Determine p(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -31*z**2 + 2*z. Let k(i) = 10*i**2 - 1. Give w(k(h)).\nAnswer: -3100*h**4 + 640*h**2 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/731 or -1?\nAnswer: -10\/731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68\/167 or 1?\nAnswer: -68\/167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6 = m. Suppose -20 = 4*i, -o - m*i = -3*o + 305. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.121 times -3?\nAnswer: -0.363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70) - sqrt(70)*2)*2 + sqrt(70) - sqrt(70)) + sqrt(70))\/(-1*sqrt(90)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate u**3 - 2601633*u**2 - 12*u - 114009340 wrt u.\nAnswer: 3*u**2 - 5203266*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(896)*-2)\/(-4*(sqrt(7) + -3*((sqrt(7) - sqrt(63)) + sqrt(7)) + sqrt(7)*2*-6)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, p: 5, z: 7, k: 1, y: 2}. What is prob of sequence sky?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13469471 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times -17?\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + n**2 - 2. Let k(x) = 7*x**3 - x**2 + 12*x - 11. Let g(l) = k(l) - 6*v(l). Let q be g(2). What is the nearest to 1\/7 in -1\/6, -0.3, q?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 6) to base 8.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 45 = j - 0*j, 3*j - 2*g - 142 = 0. Let w be (-10)\/(-15)*9\/j. Let d = -18.5 + 18. What is the second smallest value in -2, d, w, 2\/13?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9683 divided by 6.\nAnswer: 9683\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**4\/3 + 4*x**3 + 10*x**2 + 19*x. Let n(m) = 0. What is m?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -303.7 - -304. Sort t, 0.1, -0.13 in descending order.\nAnswer: t, 0.1, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*q + 1 = -2*p, -2*q = -3*p + 23. Let a(t) = t - 4. Let o be a(0). Let w be (o + 4)*(-4 + 3). Is p smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 116 + 41*s**2 + 103*s - 2*s**3 + 67*s**2 - 2*s**3 + 125*s.\nAnswer: -4*(s - 29)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 8) to base 12\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/17829 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 32588618143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/(13\/(-65))*(-234)\/(-15).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 2*a - 2*x, -5 = -7*x + 2*x. List the prime factors of a.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 20 (b) -2\/7 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 17168629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let j be 585\/25 - (-15)\/25. Let h = 307 - 91. Calculate the greatest common factor of h and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 165a7?\nAnswer: -165aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q + 9 + 8*q + 3*q**2 - 5*q - 24. Let d be w(3). Calculate the highest common factor of 18 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56.07463219 - 0.5.\nAnswer: -56.57463219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 9 - (-17 - -20)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-13 - -2) + 5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 3*c - 103 = -121, -70 = -5*z + 5*c for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-114)\/(-209))\/((-98868)\/(-1694)).\nAnswer: 1\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b\/((b*b**(-6)\/b*b)\/b))**(-2\/3)\/(b**(1\/6))**(-28) assuming b is positive.\nAnswer: b**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 422.2 and -4867.7.\nAnswer: -2055142.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, p: 2, f: 3, a: 4, g: 1, d: 3}. What is prob of sequence pz?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 4 = 5033*u - 5037*u, 2*p - 24*u = 40 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + q**2 + q + 16. Let h be r(0). Suppose -h = -2*n - 2*n. Let s = 2 + -2. Solve s = x + n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 157, 0.2, -0.1, 0.4, 0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1397 - -3.3263. Let f = -3.6 - -0.1. Let z = r + f. What is z rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 16)\/(21\/28). Let s = c + -6. What is the highest common divisor of s and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21966 - 21933. Solve f*g - 162 = 6*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 713 and 565179.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.39? (a) -29 (b) 8 (c) -60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b + 14 - 2*b - b**2. Let h = -108 - -108. Let o be i(h). Is 13 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (2 + -10) - (41 - -44)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*g - 1204, -4*g + 509 = -2*r - 1911. Suppose -1375 = d - 259. Let q = g + d. What is q rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1023 - 40?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2\/5 (b) 1.711 (c) 2\/7 (d) -103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2515 in 150, 4, -2\/33, 3\/8, 3?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 96\/18 - 5\/(-21).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*d - s - 2, -4*s = -2*d - 4. Suppose d = 4*w - 5*z - 2174, -5*z + 74 = w - 457. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.388 times 835?\nAnswer: 27043.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 1:18 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 23*w - 63. Let a(j) = 6*j - 1. Give a(m) - q(m).\nAnswer: -17*m + 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 921738, 1843473, 2765208, 3686943, 4608678?\n\"Answer: 921735*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2855?\nAnswer: 5, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 111 and 8251.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12551.9779 minus 2?\nAnswer: 12549.9779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 759008545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*n + 4. Suppose -n*t + 6*t - 32 = 0. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 563016.93 to the nearest 10000.\nAnswer: 560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 128119 times -4?\nAnswer: -512476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.41 + 0.71. Put o, 0.5, 0.02, -0.5 in ascending order.\nAnswer: -0.5, 0.02, o, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1448.3 minus -0.095?\nAnswer: -1448.205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 3*j**2 + 7*j - 8. Let h(s) = -5*s - 6. Let q be 7 - (-2)\/(-4)*0. Suppose 4*p + 29 = 53. Determine p*c(d) + q*h(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvvnddnvv. What is prob of picking 2 v and 2 d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5 = 0, w - 7 = -0*g + g. Let x be 57\/(-11) - (-20)\/110. Sort x, g, 1 in ascending order.\nAnswer: x, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26 - 7 + 29943*v + 50 - 17 in the form t*v + k and give t.\nAnswer: 29943","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 3. Let b be 7 + (2 + -1 - -1). What is the units digit of b\/(-6)*12\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/215570 and -115\/6.\nAnswer: 646710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3*d + 39333, -4*g + 65530 = 5*d + g. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzrrzerrvezzrovzzrr. Give prob of sequence ve.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**10\/y)**(5\/2)*(y*(y**(-1\/14)*y)\/y)\/((y*y**(1\/4))\/y) assuming y is positive.\nAnswer: y**(649\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w. Let i(y) = -2*y + 88437. Calculate i(n(c)).\nAnswer: 8*c + 88437","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -13798 (base 10) to base 4\nAnswer: -3113212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*l - c - 4, 0 = 3*c - 15. Let h = l + 6. Which is bigger: h or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 891175731?\nAnswer: 3, 43, 83, 83233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2911*t + 2 = n - 2910*t, -6*n = 2*t - 16 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 8 = -70. Let p be k\/192*-8 + (-614)\/40. Is -17 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 6 + 1 - 3*g - 7. Let u(p) be the second derivative of p**3 - 9*p**2\/2 + 4*p. Let n(m) = m - 1. Let j(x) = 9*n(x) - u(x). Determine j(c(o)).\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l**(1\/3)\/l))*l*l)**(4\/5)\/((l**4\/l*l)\/l**(-1\/4)) assuming l is positive.\nAnswer: l**(-191\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*5*sqrt(21))\/sqrt(7) + -4*(-5 + (sqrt(147) - sqrt(3))).\nAnswer: -39*sqrt(3) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 163309050?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 599802054 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 13*x**2. Let m(t) = -11*t**2 - 22*t**2 + 34*t**2. Determine f(m(b)).\nAnswer: 13*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 - -81. Let c be 376\/12 + 24\/9 + -3. Suppose -32*b + 25 = -c*b. What is the remainder when r is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*z - 34, -2*m = 3*z - 6*z + 26. Calculate the remainder when z is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 12*i - 7*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65\/38 + 1711\/266. Let i = 91\/17 - 109\/17. Calculate the common denominator of h and i.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -5 (c) 0.0001\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40043 - 214?\nAnswer: -40312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -5*y - 30. Suppose 14*z - 9*z - y = 0. Solve 0 = 4*s - z*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4370618647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 0 + (3 - -1). Let t be (3*((-4)\/(-6) + 0))\/(-2). Which is the smallest value? (a) t (b) f (c) -17 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*r - 125*r + 5*u + 159241 = 0, -3*u - 35402 = -2*r. List the prime factors of r.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*m = 191*m + 2*i - 2, -2*i = -3*m - 42. Let v be 62\/(-3) + 2\/3. Are v and m nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 383150 and 2105350.\nAnswer: 204218950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1 + sqrt(192)*2)*2)**2 - (2*-2*sqrt(192) - ((2 + sqrt(192) + 1*sqrt(192))**2 + sqrt(192)))) + -5 + 5)*1.\nAnswer: -24*sqrt(3) + 3848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 223 - 221. Suppose -s - 4535 = -5*a + 2*s, 5*a + k*s - 4535 = 0. What are the prime factors of a?\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -349, -760, -1325, -2038?\nAnswer: -2893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151, 143, 123, 85, 23, -69, -197?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/540 and -119\/90054.\nAnswer: 2701620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -2. Suppose 3*f - 15 = -c*f. Solve 0 = -f*m - 2 - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bvddalldlbvvbz. Give prob of sequence zbla.\nAnswer: 3\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/7 or 77\/15?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 3002 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1290)\/(-35))\/(-3))\/(((-182)\/49)\/(-13)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001111001 - -101?\nAnswer: -1001110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 628417519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 > -2\/68791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15577468 + -70?\nAnswer: -15577538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 3 = -88*b, 2*b + 2*a = -2306 + 2304 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-42640)\/256)\/(-13) + -13)\/(66\/8).\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 33 = 4*z - 8, -5*z + 2*v + 10 = 0. Does 17 divide ((-24)\/(-15) + z)\/(10\/425)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -198*a + 201*a - d, -4*d = a - 21 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 13*l + 328. Determine g(-28).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 14 - (15 - 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 - -0.45. Let b = f - 0.25. What is the second smallest value in -1, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*k*s**4 - 2*k - 13*s**2 wrt s?\nAnswer: 144*k*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14473*c**6 - 2*c**2 - 39*c - 32 wrt c.\nAnswer: -1736760*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1320 is divided by 492.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6437466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -112 by 4.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*x + 35*x + 3*i - 9 = 0, 4*x - 6 = -2*i for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6566693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 373060410 to the nearest 1000000.\nAnswer: 373000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 156485 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6015679526.\nAnswer: 2, 113, 26618051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - -1*-2*sqrt(132))\/sqrt(12).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7635276 is divided by 1666?\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.95 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 43565 divided by 8713?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43143 - 0.565019.\nAnswer: -43143.565019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8573 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2 - 5*p + 5. Let t(w) = 6*w**2 + 14*w - 14. Let j = 0 - -5. Let u(y) = j*t(y) + 14*x(y). Calculate the remainder when 7 is divided by u(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10421714 (base 8) to base 4.\nAnswer: 20202033030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.32 + 0.513. Let o = n + 0.007. Round o to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 920 is divided by 832?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + -0.2. Let z = t - 0.2. Let g = 27.8 + -28. What is the nearest to z in 4, 2\/5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5164.018 millennia to months.\nAnswer: 61968216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 10) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1)\/((q\/q**(2\/25))\/q)*((q**0\/q)\/q*q)\/(q\/(q**5*q)) assuming q is positive.\nAnswer: q**(77\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*h + 15 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**2*i**3*v + 4*b**2*i + 2*b**2*v**2 - 6*b**2*v + 2*i**3*v**2 - 52*i**2*v**3 wrt v?\nAnswer: 4*b**2 + 4*i**3 - 312*i**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5090\/9 (b) -4 (c) -0.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 15*d**3 - 5 + 23 + 9 + 16*d**3 - d as g + s*d**3 + q*d**2 + k*d and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.589 + 3.509. Which is the nearest to 1? (a) 0.1 (b) h (c) 4 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of 0 + 0*z**3 - 1\/3*z**4 + 0*z**2 + 3*z. Let s(f) = -f. Determine g(s(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -9*d**2 - 144*d + 22. Give i(-16).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 218 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) -3 (c) 5 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263 = 11*j - 62*j + 298 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 9*f - 372. What is the remainder when f is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 6. Let c be i(7). What is the highest common divisor of c and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, x: 3, m: 6, z: 3, b: 1, d: 3}. Give prob of sequence zb.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1028 is divided by 960?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -34649070, -69298149, -103947228?\n\"Answer: -34649079*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -48984 or 2.0184?\nAnswer: 2.0184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 762 and 82.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11, 12, 15, 14, 3, -24, -73?\n\"Answer: -w**3 + 7*w**2 - 13*w + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -0.004?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 2939.241 to zero decimal places.\nAnswer: 2939","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 14 - 4 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 + 24. Let h be -72 - (-4 - (-3 - b)). Let u = 121 + h. Does 20 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/u**12*u)))\/(u\/((u\/(u\/u**(-3\/11)*u*u))\/u)) assuming u is positive.\nAnswer: u**(-157\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -793*q - 3585 = -554*q for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -97394*v + 2717. Let g(s) = 215*s - 6. Calculate 2717*g(i) + 6*h(i).\nAnswer: -209*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l - 1. Suppose -5 = -4*p - 2*w - 15, 2*p + 8 = 2*w. Suppose -59 + 11 = 3*g. Let k(x) = -10*x + 6. What is g*h(j) + p*k(j)?\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p + 4. Let k = -1917 + 1923. Calculate the smallest common multiple of k and y(-7).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -10, 5, -17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -727102, -1454203, -2181304, -2908405, -3635506, -4362607?\n\"Answer: -727101*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.16 + 51.16. Let t = o + -55. Which is the second smallest value? (a) t (b) 3 (c) -1.4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 96\/(-9)*(-6)\/4. Let i(z) = z**2 - 17*z + 17. Determine i(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 325 - 131. Let s = p - 173. Is s at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 7. Let f be z(-11). Suppose -3 = -3*p - f*r + 9, 2*r = -5*p + 20. Solve 0 = 3*j - 9*l + 4*l + 13, 4*l = -4*j + p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + w - 1. Let c(t) = -7*t**2 - 3*t + 1. Calculate -c(i) - 2*g(i).\nAnswer: 5*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*2*1\/32*-16. Let i be (2\/(-4) + 2)\/6. What is the third smallest value in 0.1, -10, q, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/376123 and -3.\nAnswer: 376123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ho when two letters picked without replacement from guvuohouugg.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3110 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**3 - 4*i**2 + 3*i. Calculate the remainder when (-106)\/(-10) + 90\/(-150) is divided by x(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.4 (b) -37\/3 (c) 0.01 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.586031 rounded to two decimal places?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n - 2. Let v be q(2). Solve v = -h + r + 4*r + 3, 0 = -2*h - r + 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -10) + -21 - (-13 + 14 + 15)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 8. Let j = 8 + q. Does 17 divide -52*1*(-3)\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 9:25 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17 - 474?\nAnswer: -502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/6 - (-32)\/20. Put t, -4, 7 in decreasing order.\nAnswer: 7, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -26 (b) 4 (c) 1\/7 (d) -0.4 (e) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 220, 419, 600, 757, 884?\nAnswer: 975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -4*q - q. Let t be q - (-1 - 6\/(-2)). Calculate the highest common factor of 10 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -20. Suppose -3*w = -3*q + 15, q = -w + i - 2. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 669, 1622, 3139, 5502, 8993, 13894, 20487, 29054?\n\"Answer: 47*a**3 + 624*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8795378, 8795402, 8795426, 8795450, 8795474?\nAnswer: 8795498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 142179725?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -128 + 79. Let y = -146 + 199. Let r = a + y. Sort -2\/9, -1\/9, -3\/7, r in ascending order.\nAnswer: -3\/7, -2\/9, -1\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301 less than -0.4?\nAnswer: -301.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4110*t - 30*j + 114 = 4108*t, -j + 16 = 4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 12130331313?\nAnswer: 12130331302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01386 to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -1\/25, 1.52609 in increasing order.\nAnswer: -27, -1\/25, 1.52609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76694688 divided by -710136.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1067000 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -108*m**2 - 1 + 1 + 110*m**2. Let n(p) = -2*p. Give n(g(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/((-18)\/6))\/(1\/(-16)))\/2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6222048 is divided by 153?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 1:42 PM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/6 + 8*z**2\/3 + 65*z\/6 + 25\/3.\nAnswer: (z + 1)*(z + 5)*(z + 10)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 637439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + 4 + sqrt(12))*-4)**2 - (2 + sqrt(132)\/(sqrt(11) - sqrt(11)*4))) + 3.\nAnswer: 1538*sqrt(3)\/3 + 1217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16935 - 230856 = -57*g. What is the greatest common divisor of 139 and g?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6631354*v**3 - 2428740*v**2?\nAnswer: -39788124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 1:22 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3104906 and 1585822.\nAnswer: 1549348094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 + -42. Let z be (4\/b)\/((-4)\/264*4). Solve l = 1, -3*s + 2*l = 7*l - z for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 g when three letters picked without replacement from {g: 13, o: 3, v: 3, c: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.4 - -1.35. Let h be 28\/15*(-2 - 6\/9). Let s = -26\/5 - h. Is u <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(19) - (sqrt(19) + -1*sqrt(19)))*6)**2.\nAnswer: 17100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*b*(b\/(b\/(b\/((b\/(b\/b**(-2\/5)))\/b))))\/b)\/b*b)*b*b)**(-15)*(b*b**(-1\/2))\/b**(-1\/3))**14 assuming b is positive.\nAnswer: b**(287\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 16 + 12. Let d = a + 5. Is d\/(-6) + (-632)\/(-12) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + o - 20. Let j be (-9)\/6 + (-55)\/o. Suppose j*z - g - 4353 = 0, -2*g - 13 = -3. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -635 and 23.\nAnswer: -14605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(34\/(-8) + 4). Let f(y) = -2*y**2 + 6*y + 8. Let b be f(n). What is the tens digit of (15 - 0\/(-4)) + b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2 - t - 1. Let k be v(-1). Let s(d) = -2*d**3 - d**2 + 2*d + 3. Let r be s(k). What is the highest common divisor of r and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1131, 2268, 3383, 4464, 5499, 6476, 7383, 8208?\n\"Answer: -2*w**3 + w**2 + 1148*w - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + w + 4 = 0, 16 - 5 = 4*n - 5*w. Let d be 0\/3 - (-5 - 1). Solve -3*v - n = -d*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/63738 and 59\/80617947.\nAnswer: 483707682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1097462?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d9 + bd20?\nAnswer: bef9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 17.2, 162, -0.4, -24.9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**5\/(u*u**7*u)*u\/u**(-11)*u\/(u*((u**3*u)\/u*u*u*u)\/u) assuming u is positive.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 26\/10 - (-4)\/10. Let n be -12*((-9)\/4)\/c. Suppose -5*s + 34 = n. Solve s*o - 5 = 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14819 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 3\/10*v**6 + 0*v**2 - 4*v + 3\/2*v**5 - 2*v**3 + 0 - 9\/4*v**4. Factor k(p).\nAnswer: 3*p*(p - 1)*(p + 4)*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + ((sqrt(500) - (sqrt(500) + 0))*-5 + (2*sqrt(500)*5 - sqrt(500) - sqrt(500)) + sqrt(500) - -3*(1 + sqrt(500) + -1 + sqrt(500))) + 1)*-4)**2.\nAnswer: 28800*sqrt(5) + 1800576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 2*a + 3*a. Suppose 0*v - v = -5*m + a, -3*m + 43 = 4*v. Let i(l) = 7 - 9*l - 6*l - 3 - l + 15*l. What is i(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -9*m**2 - 52*m - 4. Let i(c) = -17*c**2 - 99*c - 10. Let u(w) = -6*i(w) + 11*y(w). What is u(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 5 + 18 - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4118 - 17638. What is the units digit of ((-4)\/5)\/(26\/d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9693, 9694, 9695?\nAnswer: 9696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -3060?\nAnswer: -3064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 5:59 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(648) + sqrt(648)*1 - sqrt(648))\/(sqrt(64) - (sqrt(64) - (sqrt(64) + -2*sqrt(64) + sqrt(64) + sqrt(64)))).\nAnswer: 9*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (143\/39)\/((-11)\/(-198)*-1).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*d + 34 = 0, 3*g + 6*d - d - 13 = 0. Suppose -g*u + 511 = -5*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 1\/535204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 15 = j, -1 = -j - d + 8. Suppose 2*w - 40 = j*w. Is (w + -609)*14\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 17, 11, -7, -37, -79?\n\"Answer: -6*l**2 + 12*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*w + 32744 = 0, -6*w = -3*w - 6. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79*-9.\nAnswer: -711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of 7\/40*m**6 + 0 - 13\/20*m**5 - 25*m**2 - 3\/8*m**4 + 0*m + 9*m**3 - 1\/70*m**7. Solve w(a) = 0 for a.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-376)\/470)\/((-2)\/(-5))*(-7)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/169 + 99549240\/(-4330456)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -14844?\nAnswer: 1483a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 + 40. Suppose -24 = -3*g - 2*g - 2*i, 0 = -g + i + 2. Put g, r, -1 in descending order.\nAnswer: g, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3960)\/165)\/(48\/36)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 4*p - 32, -28 = 2*f + 3*p + 2*p. Which is the second biggest value? (a) 2\/5 (b) f (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 139*l**2 - 241*l - 4531. Determine x(137).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - -2 - (-90 + 96)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 8*s**2 - 4*s + 4. Let m be -3 + (-3 - 4) + 3. Calculate u(m).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wf when two letters picked without replacement from fwffwwf?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 0 + 17*h - 3\/2*h**3 - 5*h**2. What is the first derivative of x(d) wrt d?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 3*t**2 - 2*t - 4. Let w be i(-3). Let c = w + 13. Calculate the greatest common factor of 3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z + 2. Let o(t) = 6*t - 7. Calculate 8*j(y) + 3*o(y).\nAnswer: 2*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25.4 in 9, 4\/9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*f - 50 + 0 = 0, -2*s + 4*f = -30. Solve -4*l + p - 4*p - s = 0, 5*l + 2 = p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 5. Let m be n(0). Suppose m = -6*c + c. What is the remainder when 35 is divided by 12*((c - -1) + 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -y**6\/20 - 7*y**4\/24 - 38*y**3\/3 - y**2 - 2. What is the first derivative of d(z) wrt z?\nAnswer: -18*z**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(152)*3)\/sqrt(8).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -119, 46\/7, -4, -132?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24260006.\nAnswer: 2, 12130003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -14*u**3 - u**2 + 8*u + 7. Let v be x(10). Let w = v + 784785\/56. Calculate the common denominator of w and (22\/(-9))\/((-20)\/35).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9512449 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2095, 4190, 6283, 8374?\nAnswer: 10463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 531113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 714.8772 nanoseconds?\nAnswer: 0.000000000198577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3503420*k**2 - 3503415*k**2 + 7006829*k**2.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 136494?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 200041379921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 6:07 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 39505\/4 less than -113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (280\/(-12))\/(-14)*-24*15\/(-50).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 165.859 - 155.91. Round d to 1 dp.\nAnswer: 9.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2923*j*x**6 - 89*j*x**2 - 3*j - 2*x**2 - 4*x wrt x.\nAnswer: 350760*j*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 471690?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 6. Let z be s(4). Let w = -1317 - -1322. Suppose -4*m + 22 = -j, -z*j + w*j + 12 = 3*m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -7*s + s + s**2 + 1 - s + s**2. Let x be b(3). Put 0, x, -1, 5 in ascending order.\nAnswer: x, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 10152688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.79 - -117.21. Let x = a - 119.051. Let q = x - 0.049. What is the nearest to -1\/2 in 0.3, q, 1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2018, -2020, -2022, -2024, -2026?\n\"Answer: -2*c - 2016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*q**3 + 110*q**3 - 57*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 11352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**2 + 106*u - 1416 = 0.\nAnswer: -118, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of k**4\/12 - 46*k**3\/3 + 6*k - 63. Let p(x) = 9*x**2. What is z(p(g))?\nAnswer: 81*g**4 - 828*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11800404 to the power of 1\/3, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -7169\/8 greater than or equal to -896?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 3*x - 14 = 0, 4*a - 2*x = -0*x - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**4\/15 + 8*d**3\/3 + 148*d**2\/15 - 8*d\/3 - 10 = 0?\nAnswer: -15, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iaai when four letters picked without replacement from {i: 4, a: 6}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2206775?\nAnswer: 5, 103, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (4 + (sqrt(99) - (sqrt(99) - (sqrt(99) + 0 + 1 + sqrt(99)))) - 6*(sqrt(99) + 1 + sqrt(99) + 3)) + 2)**2.\nAnswer: 720*sqrt(11) + 10044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2004 = 2*s, -17*t + 14*t = s - 1508. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/4)\/((-6)\/(-24)). Solve 5*v - i = 11 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168.8163 millennia in decades?\nAnswer: 16881.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 394593 and 321.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -8*y**2 - 5*y + 3. Let z(t) = -9*t**2 - 6*t + 4. Calculate 7*o(r) - 6*z(r).\nAnswer: -2*r**2 + r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1701) - 5*sqrt(1701)))\/(sqrt(567)*1 - 3*(1*sqrt(7) - sqrt(7) - sqrt(7))).\nAnswer: -18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 7*u**6\/3 + 11*u**4\/6 - 117*u + 83. Let i(y) be the first derivative of f(y). What is the third derivative of i(d) wrt d?\nAnswer: 1680*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019598 rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1249043*y - 1249043*y + 1046*y**3.\nAnswer: 1046*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 3*i - 145. Suppose -2*g - 6*j + 16 = -3*j, -4*j = 4*g - i. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g + 14*g + 2128 = 0. Let n = 87 + g. Solve -5*f = 4*x + 31, -3*f + x - n = 2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4667567 and -696961.\nAnswer: -5364528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7875906 millilitres to litres.\nAnswer: 0.0007875906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9812 and 26983?\nAnswer: 107932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - -3. Let c be (8\/(-5))\/(11\/55). Let o = i + c. Solve o = -p - 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n be 23\/(-153) + 602\/15351. Is n at least -55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2119236748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 202471, 202357, 202153, 201847, 201427, 200881, 200197?\n\"Answer: -2*f**3 - 33*f**2 - f + 202507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oi when two letters picked without replacement from xdxdixodtddidxdtxx.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 5:54 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5426*s - 30567 - 39031 = 350311 + 187803 for s.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - 115466?\nAnswer: -115456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4369147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 2*k + 1. Let x be (-24)\/(-9) - 1\/(-3). Let s be h(x). Suppose 0*g - s*g = -f - 632, 0 = 3*g - 4*f - 487. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.382 + 24.0762?\nAnswer: 23.6942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x. Let h be l(-6). Let d = -22 - -31. What are the prime factors of (-6)\/d*h + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 5*q + 10. Let j be i(-3). Suppose -7*t + 31 = -2*t - k, 5*t = j*k + 34. Suppose -4*o - o + 10 = 0. Solve s - o*s + 5*n = 18, s - n = -t for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 499*i + 868. Calculate c(-3).\nAnswer: -629","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 take away -683.1?\nAnswer: 721.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 53*l**2 + 169*l + 56. Give i(-56).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 13 + (-13 - -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, y: 2, a: 2, g: 1, s: 2}. What is prob of sequence yg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173259388.\nAnswer: 2, 4397, 9851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61957 and 251335?\nAnswer: 1169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b*n*q**2 - b*n*q + 111*b*q**2 + 4*n*q**2 - 302*n*q + 1562 with respect to n.\nAnswer: b*q**2 - b*q + 4*q**2 - 302*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 1, -5, 1133, 629, 5 in ascending order.\nAnswer: -5, 1, 2, 3, 5, 629, 1133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11136229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-21)\/(-42))\/(-10*(-2)\/(-4)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-111)\/(-37) + 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 675 and 35775?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -31. Let q(d) = -3*d**3 - 6*d**2 + 6*d - 3. Let r(u) = -4*u**3 - 6*u**2 + 6*u - 4. Let j(o) = -3*q(o) + 2*r(o). Is j(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 3:58 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 + -24?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-108)\/27)\/((-15)\/25 - -1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 49914, 86577, 123240, 159903, 196566?\n\"Answer: 36663*i + 13251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 12 + 0 = 0. Suppose -s*b + 370 = -347. Let o = b - 162. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -216, -459, -788, -1197, -1680, -2231, -2844?\nAnswer: -3513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n - 6*n - 1 - 11*n + 17*n. Let l(v) = -3*v - 4. Let c(r) = -6*g(r) + l(r). Let j(y) = -2*y - 2. Determine 5*c(a) + 6*j(a).\nAnswer: 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 11:31 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/3)\/(63\/54). Which is smaller: u or -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*f = -8, 25 - 11 = -2*b + 4*f. Let v(t) be the second derivative of t**2 + 0 + 1\/6*t**4 + 2\/3*t**b - 11*t. Factor v(g).\nAnswer: 2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: b\"What is the sth term of 5117, 10238, 15359, 20480?\n\"Answer: 5121*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -3\/5 (b) 9 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-26)\/(-4))\/((-2)\/(-20)) + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -59, -120, -183, -248?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*t = -6. Suppose -x + t = 2*x. Suppose -4*l - 3*g = -5, -6*g + x*g = -2*l + 30. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -18. Let o(w) = w**2 + 7*w - 4. Let m be o(r). Suppose -72 = -6*q + m*q. Calculate the remainder when 69 is divided by q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventy-two fifths of a day?\nAnswer: 20736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.91 + 0.09. What is the closest to -0.1 in 3, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.24 - 18.1. Let y = u + 1.5. Round y to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2859, -2866, -2873, -2880?\n\"Answer: -7*x - 2852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i - 4*i + 6*i - 2*i + 9*i - 23*i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/16 in 2, 1\/2, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2871450597.\nAnswer: 3, 859, 1114261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-17 - (12 + -20) - 10) - 15?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 8*q**2 + 44 - 4*q**2 + 11*q**2 + 72. Let p(j) = -3*j**2. What is d(p(g))?\nAnswer: -90*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-5) - 8*-1. Let x be (-2)\/3*15\/y. Which is the nearest to x? (a) 0.5 (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14931604*z + 3066660 wrt z?\nAnswer: 14931604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7747 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 112. Let s(z) = -98910*z. Give s(a(p)).\nAnswer: 98910*p**2 + 11077920","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 10*t**2 + 9*t + 10. Let n(m) = -m**3 - 9. Let a = -1 + 1. Let x be n(a). Is 5 a factor of k(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 divided by -24?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -16 - ((-79 - -39) + 64 + -48)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*c**2*n**2 - 4810*c**2 + 34*n**2 + n - 2 wrt n.\nAnswer: -54*c**2*n + 68*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 33*l**4 - 23170*l**5 - 192*l**2 + 23176*l**5 - 18*l**3 - 173*l + 269*l = 0.\nAnswer: -4, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 175 + -155. Solve 4*w - j - m = -0*j, 5*j = -5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 174 + 133. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 1)*(-3 + 2 + 0)*(-1 - 2*r + 1).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2))**(21\/2)\/((t*t\/(t*(t\/(t\/((t\/t**20)\/t*t)))\/t)*t)\/(t\/(t*t**(-1\/30))*t)) assuming t is positive.\nAnswer: t**(158\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n - 1172 = -1202 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 3:38 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 375\/84 - 5\/(-20) - (39 + -35)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q**2. Let i(a) = -89*a**2 + 22*a. Calculate i(j(p)).\nAnswer: -1424*p**4 - 88*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 1:51 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 0.78139?\nAnswer: -2.34417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 + -8c?\nAnswer: -9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6417 - 2578. Does 41 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 1792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 1. Let l be w(6). Suppose 0 = 5*h - 5*z + 20, -5 + 25 = -h + l*z. Let n = 9 + h. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p - 244 = -18*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67218 and 18734?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 12:39 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k. Suppose 5*a + 3*u = -5, 12*a + 5*u = 15*a - 31. Let m(i) = -876*i**2 + 0*i - 869*i**2 + 3 + 1747*i**a + 0*i. Calculate m(f(b)).\nAnswer: 32*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-352)\/(-36) + (-6)\/(-27). Solve 2*h + h - 11 = 2*d, -3*d = 2*h + a for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 192175 to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 263132 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 4*r + 48 = 0, 16*k - 3*r = 13*k + 12 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u = -11*u - 2*d + 15, -19066*d + 25 = -5*u - 19070*d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 73*j - 713. What is o(10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 3:32 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 350*d - 1226. What is the units digit of n(112)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -176350 divided by -35270.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 96 = 7*o. Suppose -o = -4*v + 16. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(432) + 1 - sqrt(432)) + sqrt(432)) + 6*(sqrt(3) - (sqrt(3) - sqrt(6)\/sqrt(2))*3).\nAnswer: -30*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -656*137205.\nAnswer: -90006480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 2\/9, 1\/14, 14, -2\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f + 379 = 20*f. Let q = f + -154. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -32, -29, -24, -17, -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24646 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 813278 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 x when three letters picked without replacement from {x: 6, z: 13}.\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 3*a = -1 - 12, -22 = 3*p - 5*a for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/10925810 and -103\/98320.\nAnswer: 87406480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, 0, 5, 24, 2 in increasing order.\nAnswer: 0, 2, 5, 24, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1360 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = d + 4*d - 25, -3*c = d - 5. Suppose 4*l = 3 + d. Suppose l = n + 3. Which is smaller: n or -1\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + l - 32, x = 6*x + 4*l - 51. Suppose -5*r = 4*z - 6*z, 2*r + x = 3*z. Let g(k) = k**3 - 2*k**r - 4 + 0*k**3 + 0*k**3 - 3*k. Determine g(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 3*k**2 + 3*k + 2. Let b = 2 - 4. Let v be s(b). Let l be (-9)\/(-6)*8\/6. Solve t - 5*d - 20 = v, l*d - 15 = 5*t - 0*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -10*c + 1. Let r be l(1). Let s(b) = b + 12. Let i be s(r). Is i at least 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*s + 4 = 0, -4*d + s - 2*s - 2 = 0. Let j(r) = 6*r**2 + 4*r + 1. Let l be j(3). Let z = l + d. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**4\/24 - a**3\/6 + a**2. Let p(r) = 1. Let y(k) = p(k) - x(k). Differentiate y(c) with respect to c.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -159d79 (base 15) in base 8?\nAnswer: -3772632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (22\/(-6) - 86\/(-129)) + 8 and 240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-127 + 677 - 261)*(2*s**5 + 4*s**5 - 3*s**5).\nAnswer: 867*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-one sixths of a week?\nAnswer: 52080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35828 is divided by 28?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 713664 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + sqrt(32)\/sqrt(4) + 0 + (sqrt(64)*-2)\/sqrt(8)).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -5, 2\/7, -13, 1.6 in descending order.\nAnswer: 1.6, 2\/7, -0.2, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11960647 or -11960652?\nAnswer: -11960652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - s + 4)*(-3*s**3 - 5*s**3 + 0*s**3).\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/1163678 greater than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 2 - 2)*(20*r**2 + 28*r**2 - 47*r**2 - r).\nAnswer: r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10527532 divided by -226.\nAnswer: -46582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 less than or equal to 132\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u + 27. Let b(l) = l - 1. What is b(i(o))?\nAnswer: -2*o + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - 6 - 5 + h**3 + (2*h**2 - 6*h**2 + 2*h**2)*(57*h - 107*h + 53*h).\nAnswer: -5*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14330 + 13056 = -282*y - 14632. Suppose 2*v - 2*i + 296 = 0, 3*i - 540 = 5*v + 202. Is y at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**3 + 305*s**2 + 146*s + 1102. Determine g(153).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000157591 rounded to 7 dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -0.061, -28 in decreasing order.\nAnswer: 23, -0.061, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.318 - 0.318. Let o = 14 + -23. Let m = o - -9.3. Which is the nearest to f? (a) m (b) 0.5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 14\/(-63) + 2162\/9. Let d = t - 14041\/59. Suppose 0 = -3*g - g. Which is bigger: d or g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -20*w**2 - 22*w - 17. Let a(c) = -21*c**2 - 24*c - 16. Let y(k) = 5*a(k) - 6*b(k). Does 11 divide y(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -60. Let l = -1 + s. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -38, 31665, 0.4 in increasing order.\nAnswer: -38, 0.4, 1, 31665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 f when two letters picked without replacement from {u: 3, f: 5}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**4\/7 - 270*l**3\/7 + 792*l**2\/7 - 786*l\/7 + 261\/7 = 0 for l.\nAnswer: 1, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 415989 and 323547?\nAnswer: 2911923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69 and 12075?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-7 - -12)) + 8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -338, -615, -832, -989, -1086?\n\"Answer: 30*p**2 - 367*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -137 + 151. Put 2, 6, a in increasing order.\nAnswer: 2, 6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25.13 - 24.93. Sort m, -10, -1, 1\/8 in descending order.\nAnswer: m, 1\/8, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 668094798?\nAnswer: 2, 3, 7, 17, 935707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1047326660 divided by 2.\nAnswer: 523663330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1059190?\nAnswer: 2, 5, 11, 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -301602281 + 301601884.000243. Let h = -855 - -1252. Let a = m + h. What is a rounded to five decimal places?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/((-110)\/(-10)))\/(177\/(-6726)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = 3*q - 40 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -158, -0.3?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 56*r**3 + 3*r**2 - 3*r. Let i(k) = 7729*k**3 + 413*k**2 - 413*k. Let j be ((-12370)\/6)\/5 - ((-112)\/42)\/(-4). Determine j*q(c) + 3*i(c).\nAnswer: 59*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 142?\nAnswer: -3\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0 - 6 = -q, 5*q = 0. Suppose i + x = 2*i. Suppose i*z = z - 2. Let a(n) = -3*n - 1. What is a(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjf when three letters picked without replacement from {f: 5, j: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*p**3 + 102*p**3 - 25*p**3 - 42*p**3.\nAnswer: 137*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 - 79*h - 713. Let o be t(-18). Which is the second biggest value? (a) -0.6 (b) o (c) -1 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1471563 is divided by 591?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-3)*(-15)\/10*(-16)\/(-380)?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**20\/k*(k**(-22\/5)\/k)\/k*(k**(-18)\/k)**23 assuming k is positive.\nAnswer: k**(-2117\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 16*t**2. Let d(g) = 4102563*g. Give b(d(a)).\nAnswer: 269296370703504*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * -0.48\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 15) to base 6\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 - j + 5*j**2 + 3*j**2 - 8*j**2 as z + x*j + d*j**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*c**3 - 1158 - 3*c - 2*c**3 + 1159 + c**2 in the form l + a*c**2 + p*c + u*c**3 and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0.2 (c) -0.09 (d) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g = -0*g - 126. Let p = g - -82. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/6*(-13)\/(-858)*24.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1243632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5619907*k + 28*k**2 + 5619907*k.\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -959.6 + 888. Let x = -72 - f. Let z = 2 - 1. What is the closest to z in -1, -60, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urhhhnjntuurrtjh. What is prob of sequence ut?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 less than -51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -541100?\nAnswer: 541100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + -1. Let l be (-1)\/z - 12\/(-42). Is 1 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105102647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 15*s - 13*s - 90 = -33*s, 3*m - 4*s = -70 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(0 + 4\/(-38)))\/2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.08 and -20.8.\nAnswer: -20.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, w: 3, y: 2, x: 1, h: 5}. What is prob of picking 2 h and 1 x?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*i + 11 = 0, 5*i = 3*x + x + 14. Let o be 82\/26 - (2 - x). Which is greater: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1060*t**4 - 602*t**2 - 382*t - 237 wrt t.\nAnswer: 12720*t**2 - 1204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 7*i - 3. Let w be s(6). Suppose w*v + v = -8. Let n be -6 + (-3)\/6*v. Sort 1, -4, n in decreasing order.\nAnswer: 1, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((4\/(-1))\/((-2)\/2))\/(-6). Let o = -1 + 0. Are i and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, t: 2, l: 3, j: 3, n: 6}. What is prob of picking 1 r, 1 l, and 2 n?\nAnswer: 27\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8, -10, -56, -142, -280, -482, -760, -1126?\n\"Answer: -2*p**3 - 2*p**2 + 2*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 627 and 214016?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -9 (c) -2 (d) -0.2 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 142 - 132 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-299)*26*109\/(-436).\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 597*r - 29779. Determine o(55).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -3. Suppose -2*d = 4*z + 2*d - 20, y = 4*z + d. Suppose 13*r - 8*r - 65 = z. What is the remainder when r is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 21 = 5*q + 40, 2*h = -2*q + 44. Suppose 0 = 2*l + 3*l - 185. Suppose 58 = 5*o - l. What is the highest common divisor of h and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2*c - 11 = -2*c, 2*q - 3*c = 9. Suppose -q = -2*g + 5. Factor -1\/4*l - 3\/4*l**3 - 3\/4*l**2 - 1\/4*l**g + 0.\nAnswer: -l*(l + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - k**2 + 62. Let s be c(0). Suppose -245*y + 339 = -242*y. Let f = y - s. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - (50\/(-15))\/(390\/2925)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 11:24 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 2*q**2 + q + 5. Let x(c) = -4*c**3 + 18*c**2 + 2*c + 40. Let s be x(5). What is g(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -634481*g**2 + 30*g**3 + 634481*g**2.\nAnswer: 30*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - (2 - (-11 - 69))) + 25\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02550871644 to 4 dps.\nAnswer: -0.0255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y*y*y*y\/((((y\/y**(9\/2))\/y)\/y*y)\/y)*y)\/(y\/(y\/((y\/((y*y**(-4\/3))\/y*y*y))\/y))*y)*(y*y**2\/y)**(12\/11) assuming y is positive.\nAnswer: y**(947\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vkkkvkkjvejjkaaeke. Give prob of sequence kkek.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/9, 0.1, -6, 4, 85\/168, 21?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**3 - b**3 + 2*b**3 + (-3*b + 0*b + 0*b)*(19 - 11 + 4)*(-2*b**2 + 2*b**2 - 2*b**2).\nAnswer: 73*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 a when three letters picked without replacement from aawwwwwwaaawwxwawwaw?\nAnswer: 77\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 88.52 * 1.\nAnswer: 88.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**1)**(1\/32)\/((h\/(h*h**12))\/h**(1\/4)))**(-26) assuming h is positive.\nAnswer: h**(-637\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wqqqwwqwwwwqw. Give prob of sequence wwqw.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7008439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 8 + 7 = 0. Let j be 1 - (-6)\/(r - 0). What is the greatest common factor of 6 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 m when four letters picked without replacement from memmmemmmmmmemm.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*m + 10, 0 = 4*m + 2*a - 0*a + 12. Let n = m + 3. Suppose l - 25 = n. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3, 3*x - 2*g - 13 - 26 = 0. Suppose 2*m - 6*m + 11 = -y, -3*y - 17 = -4*m. Solve 0 = -m*b - 2*p - 4 - 2, 3*b = -4*p - x for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401e6 (base 16) in base 14?\nAnswer: 6b9d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g - 4*g - 2*g. Let v(d) be the first derivative of d**3\/3 + 17. Give t(v(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -39*t**2 - 244*t + 10. Let i(k) = 48*k**2 + 246*k - 13. Determine -4*i(j) - 5*o(j).\nAnswer: 3*j**2 + 236*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6642.093l in millilitres?\nAnswer: 6642093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**7\/6 + 16*x**5\/5 + 799*x**3\/3 - 1872*x. What is the second derivative of w(d) wrt d?\nAnswer: 140*d**3 + 384*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -611*p + 603*p - m + 46 = 0, 28*m - 24*m - 59 = -7*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 0*j = 5*n - 2, 4*n + 32 = -2*j. Let w be 2*-1 - j\/3. Suppose -w*a + 4 = -a. Solve a*d - 4 = 3*k - 19, -5*d - 13 = 2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 465 = 7*o - 595 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 126 + -76. Suppose d = -h + 12, 5*d - 4*h - 10 = o. What is the smallest common multiple of d and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1984.4682 months to centuries.\nAnswer: 1.6537235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 divided by -100?\nAnswer: -387\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 119 - 493. Let k = u - -373.68. Which is smaller: k or -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*o - 2*u = 0, -3*o + 3*u - 6 = 0. Let k be (-354)\/12 - (-1)\/o. Let r = -320\/11 - k. Which is the closest to 0.2? (a) r (b) -0.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/4)\/(3\/12). Let n be f + (22 - 12\/4). Suppose 5*r**3 + r**2 - 2*r**2 - 4*r - 6*r**4 - 13*r**2 - n*r**3 = 0. What is r?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2)*(t + 0*t + 0*t)*(-129 + 110 - 460)*(2 + 2*t - 2).\nAnswer: 1916*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4813 < 5148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.8844885 + -0.438?\nAnswer: 26.4464885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219217462.\nAnswer: 2, 23, 4765597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + o - 440. Suppose -o = -2*q - 3*q. What is the remainder when 131 is divided by q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**4\/6 + a**2. Let u(w) = 4*w + 2*w - 5*w. Give u(s(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45516 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14376 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1089 divide 652832631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b + 65. Determine n(-23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -135*h**3 + 40230*h**2 - 3996180*h + 132317960.\nAnswer: -5*(3*h - 298)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9676036?\nAnswer: 2, 137, 17657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 6:42 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h = 13*h + 40. Solve 19*s - 5 = h*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30674 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (-1 + 3 - -1). Let i(t) = -4*t**2 - 20*t + 4. Let u be i(-5). Let h = z - u. Which is smaller: h or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000012427 to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 6) in base 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 0, 0 = s + b + 4 - 6. Suppose s*y = -5*g - 0*g + 364, -g - 2 = 0. Sort 3, y, 0, -3 in increasing order.\nAnswer: -3, 0, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -24*a**3 - 4*a**2 - 18*a + 26. What is the ten thousands digit of u(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 6 = 0, -d + 0*k - 2*k + 19 = 0. What is the derivative of 33*a**2 - 9 + 1 - d + 1 wrt a?\nAnswer: 66*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 9:17 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.106, -5.45, 14\/3, -3\/5?\nAnswer: -0.106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -7*x**6\/30 + 2*x**5 + 523*x**3 + 809*x. What is the second derivative of q(m) wrt m?\nAnswer: -84*m**2 + 240*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 140*w**2. Let i(z) = z**2 + 1459 - 1459. What is i(d(s))?\nAnswer: 19600*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-25)\/15 - (-505)\/15. Let y be 3\/(0 + 1 - (-688)\/g). Sort y, -1\/4, 0.4 in descending order.\nAnswer: 0.4, y, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 3, -4, 111 in decreasing order.\nAnswer: 111, 3, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -14*n + 48. Suppose 417 = y + 5*m, n*m = 3*y + m - 1291. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*o = 5934312. Suppose -4*b + 1672844 = -o. Suppose n - b = -n. What is n rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, m: 8}. Give prob of picking 1 m and 1 t.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0139495mm to nanometers.\nAnswer: 13949.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19886, -19871, -19846, -19811, -19766, -19711?\nAnswer: -19646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 449755138 to the power of 1\/3, to the nearest integer?\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(180\/15)\/168.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -385, -838, -1289, -1738?\n\"Answer: i**2 - 456*i + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 2 - 2. Suppose 3*w = f*w + 2. Suppose 0*y - w*y + 58 = 0. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010 a factor of 2496608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.265376682 to one decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 201012?\nAnswer: 201010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -128 + 170. Let y = 21545.7 + -21587.7146. Let u = t + y. What is u rounded to 3 dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 4*x**2 + 2*x - 5. Let s = 13 - 9. Calculate j(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 1:43 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 + 1 + -5 + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.09, -5, -1.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -46 (c) -5 (d) 46 (e) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9b5 + 4?\nAnswer: 9b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 782, 804, 826, 848, 870?\nAnswer: 892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 14 - 135*j + 24*j - 44.\nAnswer: -111*j - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0. Suppose w*b = 4*b - 16. Let x be 22\/3 - ((-12)\/(-9) - 2). Solve b = 4*y - x for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nsixxtxsissixtxnxz. What is prob of sequence zn?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1806 and 76839.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 3, 19 in increasing order.\nAnswer: 3, 4, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 13. Let k = 21 + 4. Suppose -80 + k = -r. What is the highest common factor of o and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (-1506)\/(-3) + 0. What is the derivative of 2 - 20 - 500*i**2 + r*i**2 + 46*i**4 wrt i?\nAnswer: 184*i**3 + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 330683793?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 6*h - 1. Let z be f(1). Suppose 4*u = -u - z, -5*m = -2*u + 8. Which is smaller: -2\/3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-5394)\/60)\/29)\/((-13)\/(390\/(-12)))\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11409.\nAnswer: 3, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 248\/5 - 4\/(-10). Suppose -3*i - 4*l = s, 3*l = -5*i - 0*l - 65. Let y(t) = -2*t + 4. Let o be y(i). Calculate the greatest common divisor of 36 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 2*x - 3. Suppose 4*m - j = -14, 0*m = m + j + 1. What is n(m)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -16*(-54 - -68)*1\/(-436). Does 0 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*h**3 + 9*h**3 + 4352 - 39*h - 5*h**3 - 28*h - 2*h**2 + 3*h**3 wrt h?\nAnswer: 12*h**2 - 4*h - 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 259555421?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5072 - 15684 = -1255*u + 4448 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -120000 + -53?\nAnswer: -120053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(242)*-1 - (-1*sqrt(242) + -4)) + -4 + (sqrt(242) - (-1 + sqrt(242) + -4)) + 0)**2.\nAnswer: 660*sqrt(2) + 8737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three tenths of a hour?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -95.996 + -0.004. Let l = r + 97. Which is the closest to l? (a) -2 (b) 1\/6 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 950 and 450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is aa4 (base 13) in base 6?\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13228212 divided by 12\nAnswer: -1102351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -0.024 (c) -1\/1636 (d) 0.4 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3023897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/5 + (-939)\/1305. Let i be ((-10)\/(-725))\/2*(4 + -2). Let m = z - i. Which is bigger: m or -1.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.97 + -0.37. Let o = b - 0.48. What is o rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7377 = -7*f + 13707. Suppose -28*a + f = -22*a. What are the prime factors of a?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3\/4 + 387*k**2\/4 + 99*k - 195.\nAnswer: -3*(k - 130)*(k - 1)*(k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 7884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(96)*-6)\/(2*sqrt(1728)).\nAnswer: -2 - sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 13. Let t = r + -11. Let z = 3.5 + t. Is z less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**3 + 2*s**2 - 2*s + 2. Calculate g(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -13. Is 10 a factor of 9 + l + 1*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 508\/5 + -101. Suppose 0 = 4*j + 2*r - 2, -8 = -2*j + 4*r + 8. Suppose 9*d + 11 = j. What is the nearest to c in 0.3, -0.3, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*-2*(-4)\/6. Let n be 0 - (g + (-4)\/2). Let o be 6\/((n - -3)*2). Solve -o = 4*i + 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -745*d**2 + 1483*d**2 + 246878*d**3 - 246883*d**3 - 738*d**2.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3011*z - 1939*z - 3 - 3.\nAnswer: -4950*z - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*(-4*(sqrt(77) - sqrt(77)*-3) - sqrt(77) - -5*sqrt(77)*-2)\/(sqrt(99)*2 - (sqrt(539)*-1 + sqrt(539) + sqrt(11))))**2.\nAnswer: 45927\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 10*n**2 - 9*n. Let p be u(9). Let h be p\/(0 + 2) - 1. Let w be 6\/(-6) - 0\/h. Is 2\/7 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((105\/12)\/(-7))\/(28\/(-112))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/((-104)\/126) + (-2)\/13. Sort -1, s, 2, 4 in decreasing order.\nAnswer: 4, 2, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1850\/(-40))\/37)\/(3\/(-36)*1)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 41. Let v = g + -28. Let h be (-2)\/v + 6\/36. Solve h*z + 5 = z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 35*j - 5. Let n be s(4). Let i = 223 - n. What is the remainder when i is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 0 - (-14)\/4*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9 - (-10 + 5)) + -12 - -7) + 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phhpaoqaoarqrpa. What is prob of picking 1 h and 1 r?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.05 in -13, 5, 6, -3, 0.4, -1\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 14, b: 5}. Give prob of sequence brr.\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 242*c + 628. Let q(r) = -686*r - 1885. Determine -17*g(k) - 6*q(k).\nAnswer: 2*k + 634","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25207 + -25207.115. Which is the second smallest value? (a) -2 (b) j (c) -9\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 836029?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezee when four letters picked without replacement from eezdeeezezedz.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - 3 - -2 - 3. Suppose -5*i + 36 = -f*i. Suppose -a + i = a. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-520)\/(-7) + (-48)\/168. Calculate the highest common divisor of 925 and a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40023848 and 272?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -33*c + 99. Let t(a) = 26*a - 239. Let o be t(9). Let v be l(o). What is the highest common factor of v and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30)\/25 + 276\/30. Solve -3*m + 10 = -6*m + 2*c, 0 = -4*c + a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3075 (base 9) to base 4.\nAnswer: -203033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 223679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l**2 - 48*l**3 + 10*l**3 - 18*l**2 + 11*l**2.\nAnswer: -38*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -690\/131?\nAnswer: -690\/131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -148*t**2 - 6*t - 164. Let a(i) = 99 - 126 + 101*i**2 - 13*i - 131*i**2 - 267*i**2 - 302. Let g(j) = -6*a(j) + 13*k(j). Differentiate g(z) wrt z.\nAnswer: -284*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b + 33. Let m(k) = -31*k**2. Give f(m(q)).\nAnswer: 124*q**2 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41016920.\nAnswer: 2, 5, 7, 17, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*c - 2*w - 3, -2*c - w + 19 = 0. Solve 3*d - 22 = -5*j, 0*d + 3*d - j = c for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -530499 + 1060994 - 62*f + 76*f - 530495.\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 9:00 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -22*w - 4. Determine h(2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5042473, -5042480, -5042487?\n\"Answer: -7*a - 5042466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 11, -23 in descending order.\nAnswer: 11, 3, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -u + 2*w, 90 = -0*u + 2*u - 2*w. What is the remainder when 83 is divided by u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2*j - 48, 5*q - 3*j + 53 = -7. Let g be q\/(-24)*(-1 - -1). Suppose 15 + 18 = 3*p. Solve -p = 2*c + w, 3*c = -g*w + 4*w - 11 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**4\/4 + r**3 + 1. Let c be d(2). Let m(k) = -c*k + k + 0*k. Let w(v) = -3*v**2. Calculate m(w(u)).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-7)\/(-21))\/(6\/(-4)). Let n = 4825 + -4858. Are n and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.15, -82\/9, 2\/11, -0.1, -214 in descending order.\nAnswer: 2\/11, -0.1, -0.15, -82\/9, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 2345.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*i = -1411 + 1347 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -614b - 1?\nAnswer: -614c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(2\/3))\/(m*m\/(m\/((m\/m**(3\/7))\/m))))\/(m**0*m**(-7)) assuming m is positive.\nAnswer: m**(142\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**3 - w**2. Suppose -5*l + 5*o = 5, 0*o - 1 = 3*l - o. Let z be (-2 + l)\/(-4)*2. Determine s(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.363 - 0.8.\nAnswer: -0.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m + 53 + 724 + 11*m + 5*m**2 - 777.\nAnswer: 5*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 713?\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(30)*1 + sqrt(30) + sqrt(30) + sqrt(30)))\/(sqrt(6) + (sqrt(96) - sqrt(6) - sqrt(6))).\nAnswer: 8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s**5 + 37*s**3 + 177*s**2 wrt s?\nAnswer: 60*s**2 + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 - 120\/(-32)) + (-51)\/(-12). Solve -444*o**2 + 25*o**5 + 20*o**3 - 14*o**c + 2*o**5 - 24 - 18 + 198*o**4 + 267*o - 12*o**3 = 0.\nAnswer: -7, -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9257741?\nAnswer: 17, 227, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) -8 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10621 and 1235.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**3 - 57*k**2 - 210*k = 0 for k.\nAnswer: -14, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*p = 2*z + 135*p - 1317, 0 = -3*p + 9. What is the remainder when z is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -202313034 - -2114?\nAnswer: -202310420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**3 + 68*x**2 + 39*x = 0 for x.\nAnswer: -13, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*p + 62*p + 25. Let j = -5.12 - -0.12. What is the nearest to -17 in -4, j, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 105562 - 39710. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -10. Let f = 5 + z. Let a(k) = k**2 + 4*k. Is a(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (29 + 3)\/4 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2520*f**2 - 32. Let q(z) = 229*z**2 - 3. Let v(l) = 32*q(l) - 3*r(l). Let d(g) be the third derivative of g**5\/30 - 48*g**2. What is d(v(x))?\nAnswer: 107648*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, -0.2, 2\/7, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (60\/(-180))\/((-3)\/(-270)). Let k(p) = p**3 + 31*p**2 + 26*p - 113. Give k(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (87365\/1616 - (24 - -30)) + (-115)\/304.\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3541316265 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**4)**(-13\/4))**(3\/22) assuming f is positive.\nAnswer: f**(117\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w\/(w*w**(1\/3)*w*w))\/w*w\/w**21)**(-26) assuming w is positive.\nAnswer: w**(1664\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + sqrt(1377) + 0 + sqrt(1377))**2 + -2 + -1*sqrt(1377) + -5 + 3*-2*(sqrt(1377) + 1).\nAnswer: -63*sqrt(17) + 12380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 + q. Let f(h) = -2*h + 35 + 39 - 110 + 35 - 4*h**2. Determine -2*f(b) - 5*n(b).\nAnswer: -2*b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 19572, 34832, 50092, 65352, 80612, 95872?\n\"Answer: 15260*r + 4312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/((-1)\/(6\/(-9))). Factor 3*u + 3*u**3 - 5*u**2 - u**2 - u**2 + u**s.\nAnswer: 3*u*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 13*r = 162. Suppose r*k = 15*k + 324. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-232825)\/278)\/(1025\/(-82)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115489406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*c = -50*c - 12. Suppose 0 = -3*h - 2*o + 27 + 55, -5*h + 100 = -c*o. Suppose h*t = 20*t + 8. What is the highest common factor of 14 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*n - 3 = 5, d + 2*n + 4 = 0. Let j = -2 - -1. Let u = 1 + j. Solve -2*k = -u*k - d for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -31*(21\/(-6))\/((-1)\/2). Let n = -135 - k. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -137 - (4 + (25 - 33) + (-4 - (-4 + 10)))?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.2 + 50. Let p = -37 + l. Which is the smallest value? (a) p (b) -2 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 40794?\nAnswer: 203970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 23*b**2 - 23*b + 42. Let j be m(22). Solve 5*n = -p + 5*p + j, 2*n - 8 = 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2096 is divided by 81?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342 = 52*p - 166*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 101220200201?\nAnswer: 101220200212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22313233 + 11?\nAnswer: -22313222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18793343 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -1\/444?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1479*a - 1482*a - 4*y - 40 = 0, -5*a + 8 = -4*y for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3*l + 5 + (-4*l + 2*l + l)*(1 - 3 + 1) + (l + l - 4*l)*(51 - 29 - 137))*(-3 + 0 + 4 + (-3 + 2 + 0)*(-2 + 3 - 2)).\nAnswer: 468*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*l**3 - 3*l - 79 + 35 + 34 - 15*l**4 wrt l.\nAnswer: -180*l**2 - 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8216 and 1817.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -4, 3450 in increasing order.\nAnswer: -4, -1, 5, 3450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -4*(-9)\/(-12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -69*d**4 + 2*d**2 + 343*d - 169*d - 170*d + (0*d**2 + 4*d**2 - 3*d**2)*(0*d**2 + 2*d**2 - 3*d**2).\nAnswer: -70*d**4 + 2*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**2 - 23*o + 9. What is k(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 10*t**3 - 10*t**2 - 65*t + 60. Let q(a) = 9*a**3 - 12*a**2 - 64*a + 48. Let n(v) = -5*q(v) + 4*z(v). Factor n(w).\nAnswer: -5*w*(w - 6)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iaia when four letters picked without replacement from {i: 2, a: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 2*w + 4. Let o be m(-2). Let u = -1 - o. Let j(y) = -11*y - 11. Let l(s) = -12*s - 13. Let x(t) = u*l(t) + 6*j(t). Calculate x(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 e when two letters picked without replacement from eawba?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x - 4. Calculate b(-11).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7893*w + 369 - 133 - 236 to d + l*w and give l.\nAnswer: 7893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 3 (c) -104\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 + 531930*q**2 - 7446285*q + 26061140.\nAnswer: -5*(q - 106372)*(q - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1225, -13090, -45203, -107686, -210661, -364250, -578575?\nAnswer: -863758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 93989*t - 94030*t. Which is bigger: t or -16\/477?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -230419*n**3 - n**2 + 297940*n wrt n?\nAnswer: -1382514*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/8 and -13\/213?\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -270 - -487. Let f = p - 226. Let l(s) = -s - 9. Determine l(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258368874.9 rounded to the nearest one hundred thousand?\nAnswer: 258400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 441.7977 tonnes to kilograms.\nAnswer: 441797.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54470005.\nAnswer: 5, 103, 105767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -4, 4, -2\/17, -43, 1236 in decreasing order.\nAnswer: 1236, 4, -0.1, -2\/17, -4, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*r**3*v**4 - 2*r**3*v**2 + 2*r**3 - r**2*v**5 + 70*v**2 wrt v?\nAnswer: 816*r**3*v - 60*r**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*r + 169 - 64 = 156*r + 1690 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**13*u)\/(u\/((u*u\/(u**(-8)\/u)*u)\/u)))\/(u*u*(u\/(u\/(u*u*(u*u*u**1)\/u*u*u)))\/u*u)**(-1\/47))**(-3) assuming u is positive.\nAnswer: u**(117\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*k**3 + 10*k**3 + 115 + 19*k**3 - 80.\nAnswer: 3*k**3 + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a + 8 = 29*a. Suppose 4*s - w = 21, 2*s - a*w = -w + 13. Let o = 10 + -4. Solve 0 = s*u + 5*y + 1, -o*y = -2*u - y - 23 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67447, 67875, 69055, 71371, 75207, 80947, 88975, 99675?\nAnswer: 113431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**3 + 5*h**2 - h + 1. Let t(x) = -9*x**3 + 22*x**2 - 11*x + 8. Let j(y) = -t(y) + 5*v(y). Let m(g) = -2*g - 5. Let c be m(-5). Determine j(c).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/(-160))\/(60\/(-75))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r. Let c(t) be the third derivative of t**5\/30 + t**3\/6 - 92*t**2 + 3. Give u(c(k)).\nAnswer: 10*k**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -4521?\nAnswer: -4524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**5 + 130*x**4 + 823*x**3 - 952*x**2 = 0. What is x?\nAnswer: -7, 0, 1, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-35)*-11*(-33)\/110*10.\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/5)*q)\/q*q\/q**(-1)*(q**1)**(2\/37) assuming q is positive.\nAnswer: q**(269\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -12*l**2 + 7*l - 7. Let w(p) = 2*p**2 - p + 1. Let q be 2 - (-3 - (-3 + -1 - -1)). Let o(c) = q*u(c) + 14*w(c). Let x(m) = 15*m**2. What is o(x(i))?\nAnswer: 900*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -4554726.904525.\nAnswer: -4554737.904525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 36*p - 21*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 + 10.8. Let i = 10.5 - c. What is the third biggest value in i, 4\/9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + -2 - (-4 - -9)) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zppzzzpi. What is prob of picking 3 z?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2874847, -2874845, -2874853, -2874877, -2874923?\nAnswer: -2874997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8769259 meters in nanometers?\nAnswer: 876925900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 28*v - 131. Determine l(14).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) -1.5 (b) -1141 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5 - 10)*(5 - 3 + 0)*(0 + 2*f + 0).\nAnswer: -44*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 83. Let k(z) = -12*z**2. Calculate i(k(u)).\nAnswer: -144*u**4 + 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 25. Let j = -4 + 11. Suppose 0 = -0*g + g - 1. Solve g + j = s*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - 0.47. Let f = x + 0.47. Let g = 56\/5 + -49\/5. What is the closest to -1 in g, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 4*s - 12 = 6*s, -3*u - 4*s = -9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3 - 35*k + 5*k + 3 + 22*k. Let m(o) = 39*o**2 + 2. Determine t(m(s)).\nAnswer: -312*s**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -24 (b) -1\/7 (c) 16.1 (d) -1 (e) 2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*a + 14. Let r(h) = h**2 - 3*h - 7. Let z be r(5). Suppose 0*p - p - a*d = -19, 3*d = -z. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/10*(-4)\/(-10))\/(-23)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4 = -5*f, -4*f = -2*k + 34. Let s = -10 + k. Let i(q) = 5*q - 15. Let n be i(3). Solve -2*m + s - 1 = n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ouaooaokmoocaomcoc. What is prob of picking 2 a and 1 k?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2309 (b) 382 (c) 4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o. Let l(m) = -468*m. What is l(z(y))?\nAnswer: 936*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z**2 + 2*z + 7*z**2 + z**3 + 1 + 2*z**3 - 5*z**3 to the form a*z**3 + g*z**2 + p*z + d and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 1517*t + 1. Let z(v) = 10784*v. What is u(z(m))?\nAnswer: 16359328*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3.55 * 0.24\nAnswer: 0.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -16. Let x be 27\/18 + j\/2. Is x bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35136449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5 + (4*(sqrt(175) + sqrt(175)*-2) - 3*(sqrt(175) + 1 + sqrt(175))))*-1*-5*-4)**2.\nAnswer: 8000000*sqrt(7) + 175640000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbembbhbihebdhbib. What is prob of picking 1 e and 1 i?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in 9\/2, -8, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 4 - 2 + 3 - 3 + (-2 + 1 + 2)*(2 - 4 + 1) - 4 - 4 + 7 + 3 - 1 + 0 + 2 - 1 - 2 - 2 - 1 + 5 + (-6 + 1 + 3)*(1 - 2 - 1))*(-5606 - 249*p + 5606).\nAnswer: -249*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 5*l. Let j be b(4). Find the second derivative of -3*t - t - j*t**2 + 3*t**2 wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313*x = 15314 - 558 + 20300 for x.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 127440 and 472?\nAnswer: 127440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -405, -7, -19, -2, -6 in decreasing order.\nAnswer: 0, -2, -3, -6, -7, -19, -405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 54*i + 648. Calculate p(16).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 5:40 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -2.7. Let x = r + -0.2. Let i = -0.4 - -0.1. Which is the nearest to x? (a) 3 (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/5))**(-37))**(2\/17) assuming p is positive.\nAnswer: p**(-148\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -313.28 - -313.27874982. Round f to six dps.\nAnswer: -0.00125","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 41769?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.002 + -0.148. Let w = v - -0.15. Which is the nearest to w? (a) -2 (b) -0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5794402\/2397 - 7252\/3. What is the common denominator of h and 99\/94?\nAnswer: 1598","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6079.9 + 5844. Let h = t - -236. Which is the closest to h? (a) -4\/23 (b) 5 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z + 1. What is c(-8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s + 7. Let p be a(4). Let g = -4 + p. Let i be (-328)\/(-40) - (-1)\/g. Solve i = -4*u - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 7. Let o(q) = q**3 - 4*q**2 - 5*q. Let z be o(l). Let v be 1\/((6\/(-20))\/(78\/(-52))). Which is the biggest value? (a) v (b) 5\/4 (c) z (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*p - 55 = 104*p. Differentiate 9 - 1 + 19*c - c + p with respect to c.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*q + 453 = 93. What is the biggest value in -0.5, -0.335, q, -2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) -2\/7 (c) 18 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/25128 and -93\/64216.\nAnswer: 577944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49441 is divided by 4091.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, 0, 5, -1, -2, 225, 23.\nAnswer: -54, -2, -1, 0, 5, 23, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-21) - -1) + (731\/102 - 8)?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1523\/362 - -2199296\/521823. Find the common denominator of -79\/18 and r.\nAnswer: 17298","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130262, -130255, -130250, -130247, -130246, -130247?\nAnswer: -130250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 5:41 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 36 + 9 + -16 + -14\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 266 - 260. Suppose 5*k + 4440 = -0*k. Is (-4)\/d*k\/16 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -462 and -180811\/392 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 374792 divided by 4?\nAnswer: 93698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, s: 7}. What is prob of sequence sss?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 61*h + 191 = 0, 49 - 22 = -3*q + 5*h. Let i = -0.3 - -0.28. Which is the second biggest value? (a) 16 (b) q (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0921982379 rounded to three dps?\nAnswer: 0.092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y. Calculate o(-6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403*d - 100 = 378*d. What is the closest to 1\/9 in 1, 0.5, 7, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**3 + 15*j**2 + 540*j = 0. What is j?\nAnswer: -9, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -4*x**3\/3 + 232*x**2 - 13456*x + 240. Factor v(o).\nAnswer: -4*(o - 58)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4641232.\nAnswer: 2, 107, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*v**2 - 219*v**2 + 14*v - 14*v - 96*v**2.\nAnswer: -512*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3)*q*(q\/q**(-1\/7)*q)\/q*q**9\/(q\/q**(4\/5)) assuming q is positive.\nAnswer: q**(278\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 7. Suppose -14 = -3*c + 4. Let l be ((-4)\/c)\/((-3)\/27). What is q(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbqbbqqbqqwqbqqqqq. What is prob of sequence wqb?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*g - 259 = 0, 5*t - 260 = 6*g - 11*g. Let z = t - 51. Solve z*a - 7*a = 35 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 5*m - 0*m. Let p(h) = 6*h - 3*h**2 - m + 2 - 12*h + 4*h**2. Calculate p(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 106 = 4*b, 4*o - 60 - 48 = 3*b. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(-9 - 10*c**2 + 9)*(2*c - c - 3*c).\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 2)*(-73*l + 191*l + 18*l) in the form z*l + d and give z.\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000018963794 rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*g - 4*x, -2*g + 4*x + 4 = 2*g. Suppose -3*m = -8*h + 6*h - 66, -3*m - 5*h + 87 = g. Calculate the least common multiple of m and 42.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09625 in 1, 10.6, -0.003?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - (-121)\/44)*-390956 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 215, 429, 643?\nAnswer: 857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*x = -0*x + 50, -40 = -4*y - 3*x. What is the third derivative of h**2 - y*h**6 + 3*h**6 + 4*h**6 + h**6 wrt h?\nAnswer: -240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000202212 - -10101201?\nAnswer: -220101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90 - 44. What are the prime factors of z?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z**(-15)\/z)\/z*z*z\/(z**19\/z))\/(z**0*z*(z\/(z**(-3\/20)\/z))\/z) assuming z is positive.\nAnswer: z**(-683\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*g**4\/3 - 2*g**3\/3 - 7*g**2 - 8*g\/3 + 4\/3 = 0. Calculate g.\nAnswer: -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5478 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -37487 rounded to the nearest 100?\nAnswer: -37500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/3 (b) 0.4 (c) -2 (d) 0 (e) 0.02 (f) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 - 52. Let d be ((-27)\/a)\/(4\/(-8)*2). Let x be (-183)\/d + 14\/63. Solve x*c - 3*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7984046?\nAnswer: 2, 7, 61, 9349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 4*c**2 + 4*c + 5. Is a(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 8. Factor -51*o**2 - 16 - 4*o**4 - o**2 + 35*o**3 + 48*o - 11*o**a.\nAnswer: -4*(o - 2)**2*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -819 (base 11) to base 13\nAnswer: -5b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228152148?\nAnswer: 2, 3, 7, 97, 28001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -59496) + 4048\/176. Calculate the highest common divisor of 53 and d.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -3\/4523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26\/10 - (-5 + 115\/25). Let i(t) = 5*t - z*t - 95 + 94. What is i(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7880 divided by -2.\nAnswer: -3940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**3 - 236*j + 0 + 0*j**2 + 1\/50*j**5 + 8\/15*j**4. Determine f, given that k(f) = 0.\nAnswer: -15, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hrspurpw. Give prob of sequence usp.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14\/3 + -13\/3. Let s(v) be the first derivative of -2 + 0*v**5 - 1\/3*v**6 + 0*v + 0*v**4 + 0*v**2 - q*v**3. What is the third derivative of s(n) wrt n?\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03151994918 - -0.03152. What is d rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*l - 784, -3*l + 2*o + 582 = -3*o. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(13) - sqrt(26)\/sqrt(50) - (sqrt(117)\/(sqrt(9)*3 - sqrt(9)))**2))*4.\nAnswer: -17 + 16*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/10370 and 113\/850.\nAnswer: 51850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 3*y - 2*y. Let n = y - 27. Let o be 3 - (n\/(-18) + 0). Is o > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15369697\/8780 - -1148\/439. Let f = -1748 + q. Find the common denominator of f and 105\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321357932?\nAnswer: 2, 7, 23, 29, 17207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72 - 241 - 5*l + 3*l + 69 + 100.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 5*w**2 - 5*w + 4. Let l be k(-4). Suppose l*h - 93 = 5*h. Let f = -17 + h. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 49 (b) 56 (c) 2\/13 (d) 2\/55 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 97 - 223 + 128 + 0*n + n. What is l(-16)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -93 - -101. What is the greatest common factor of 104 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 1)*(-4 + 2*s + 4)*(0 - 2 + 3).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 57\/38*1*(-6)\/(-3). Does 11 divide 6 - 14*p\/12*-14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1*1\/3)\/(0 + (-221)\/102). Factor 0 + 0*a**2 + 2\/13*a**5 + 0*a**4 - 4\/13*a**3 + q*a.\nAnswer: 2*a*(a - 1)**2*(a + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -32. Let j(c) = 12*c**2 - 15. Let f(m) = -889*m + 19*m**2 + 1 + 889*m - 20*m**2. Calculate d*f(l) + j(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - -0.6. Let j = -16.5 + 16. What is the closest to 0.2 in t, 3\/5, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -j**7\/2520 + j**5\/360 + j**3\/6 - j. Let n(x) be the second derivative of h(x). Find l, given that n(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -17, 4 in descending order.\nAnswer: 51, 4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/10*(-10)\/(-4). Suppose 4*a - v + 4 = p*v, 4*v - 18 = -3*a. Let k(g) = 2*g - 1. Let r be k(1). Is a bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a minute in seconds?\nAnswer: 1530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -471420*i**3 - i**2 + 354884*i - 2 wrt i?\nAnswer: -2828520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-4 + (sqrt(304) - (sqrt(304) + -2 + -4) - sqrt(304))*1)**2)*5.\nAnswer: -80*sqrt(19) + 1555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1331 a factor of 11634271?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/5)\/((-35)\/525).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-222)\/(-5)*(-240)\/(-72) is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49357960231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9, 43, 189, 477, 955, 1671?\n\"Answer: 8*t**3 - t**2 - t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61318 - 336708. Round r to the nearest ten thousand.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -74 + ((-25 - 9) + 39 - (-3 - 2)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 0. Let q(l) = -3*l**3 + 18*l**2 - 2. Let c be q(6). Sort t, 5, c in ascending order.\nAnswer: c, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (62\/4 + -5 + -12)\/((-18)\/112)?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26.7 - -27. Let k be -2 + 2\/((-8)\/(-10)). Suppose -3*x = -5*t + 34, 2*x + 3*x = -5*t + 10. Which is the closest to k? (a) u (b) x (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1870574287 a multiple of 1377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) + (sqrt(500) - sqrt(500)*4) + -2)*3 + sqrt(500) + -4 + 1 + -4)**2.\nAnswer: 1300*sqrt(5) + 12669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -720 - -298. Suppose 3*a - 36 = -3*u, 0 = -2620*a + 2615*a - 3*u + 38. Put 2, y, a in descending order.\nAnswer: 2, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2230451499?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) + -1 + -3*sqrt(720) + 3 + (sqrt(720) - (sqrt(720) - (sqrt(720) + sqrt(720) + 1))**2 - sqrt(720)).\nAnswer: -719 - 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -17*h - 7. Let d(m) = 6*m - 258. Let g be d(22). Let v = 129 + g. Let c(i) = -9*i - 3. Determine v*a(w) - 7*c(w).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kddddkd. What is prob of sequence dkkk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4543169 and 2378?\nAnswer: 1189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 9*s + 12220 = 0. Let u = 226 + s. List the prime factors of u.\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 159 - 69. Let u be (-9)\/4*(-18 + 2 - 0). Calculate the greatest common factor of i and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0084257159 to four decimal places.\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/10)\/(484\/(-1210))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8365336553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -122, -123, -124, -125?\n\"Answer: -d - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 119 + (-92 - -77) - 56\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1403, 1401, 1401, 1403, 1407?\n\"Answer: d**2 - 5*d + 1407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**22*a\/a**(-2\/15))\/(a**(-1\/25)*a\/(a**(-23)\/a)*a) assuming a is positive.\nAnswer: a**(-212\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i**3 - 25*i**2 + 4*i - 9. What is z(-10)?\nAnswer: 451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -6 + 3 + p**2 + 2 - p + 2*p. Let r(g) = -g - 4 - 4*g**2 - 2*g + 9. Let h(x) = 3*a(x) + r(x). What is the first derivative of h(y) wrt y?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) 4.17 (c) 2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*s - 518 = 0, -2*s = -5*o - 712 + 198. Let g be (-2 + o)\/(-4) - 4. Suppose 3*i + 5*z - g = -4, -4*i + 4*z - 8 = 0. Is 2\/29 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34800 and 116.\nAnswer: 34800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1.04 (b) 5 (c) 140\/481 (d) -3 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 412712401 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129863 = 12*k - 17196 + 49393. What is k rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8768*w**4 + 6*w**2 - w - 742.\nAnswer: -105216*w**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 14) to base 5\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 + 54\/12 + (-4)\/(-24))*-6. Let r(q) = -2*q**2 + 14*q + 15. Determine r(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.3 - 0.3. Let i = 1.0000004 - a. What is i rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1202 (base 3) in base 7?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 2 = 4*w, -571 + 576 = 2*k + w for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1298348 less than -1298533?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 9 - 3 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*d + d. Let m be -2 - (-3 + (d - -3)). Let a(r) = r**3. Let n(c) = c**2 + c + 6. Let s(w) = -a(w) - n(w). Calculate s(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -3*a + 4*n, -8466*n - 4 = -8465*n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22994*p**4 + 19*p**2 + 360379*p.\nAnswer: 275928*p**2 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.06 - 0.34. Let t = -23 + 36. Let v = t - 13. Sort a, v, -1 in descending order.\nAnswer: v, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 264 = -6*y. Suppose 3*c - 207 + y = -3*i, -4*c = i - 185. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 330 by -5.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44707.\nAnswer: 13, 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.15 * 0.31.\nAnswer: 0.0465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1031502 (base 7) to base 13\nAnswer: -45135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8\/4*6\/(-3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.892 + -2.792. Which is the smallest value? (a) -0.02 (b) -39 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + sqrt(13) + -1 + 2 + sqrt(13).\nAnswer: -2 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -w, -2*c = -w - 31 - 265. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -33, 68, 3, 5, 0, -17 in decreasing order.\nAnswer: 68, 5, 3, 0, -1, -17, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 44500, 178021, 400558, 712111, 1112680, 1602265?\n\"Answer: 44508*y**2 - 3*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3550*c - 9677*c**2 - 3570*c + 7130*c + 214 wrt c.\nAnswer: -19354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33440 + -330?\nAnswer: 33110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 3*a + 2. Let o be u(3). Let d(q) = 3*q**3 + o*q - 3*q**2 - 1 - 2*q + q. Suppose -501*i + 350 - 32 = -766 + 82. Give d(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3089064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -106822 <= -106822?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4 = -7. Let g(v) = -v**3 + 3*v + 5. Let a(m) = m**3 - 2*m - 4. Let w(f) = -4*a(f) - 3*g(f). What is the least common multiple of w(0) and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 14, p: 5, w: 1}. What is prob of picking 1 w and 3 s?\nAnswer: 364\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/15*-33*102\/(-3366)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from ymmmdmmmym.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-11)*(-7)\/385*-11.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1365141 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**4\/6 + 5*s**3\/6 - 308*s**2. What is m(4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24850 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/2*w**2 + 9\/2*w**3 + 3\/2*w**4 + 0 + 3\/2*w.\nAnswer: 3*w*(w + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -154*n**3 + n + 1. What are the prime factors of w(-1)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 360 = -o. Suppose h = -3*h - o. Is 15 a factor of h\/(2 + 16\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.05 - 639\nAnswer: -637.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2624.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 214336924?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 13) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 468 = -v. What is the tens digit of v*1\/(1 - 1 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 20536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001100110000 - -100011100?\nAnswer: 100010001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(147) + 1 - (sqrt(147) + 2 + sqrt(147) + -4))**2*-6.\nAnswer: -1266 + 672*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -730, -2246, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 5*m - 10, -m - t + 8 = 3*m. Suppose 0 = 4*b - m*b - 58. Suppose 3*i = 2*y - b, 2*i = 5*y - y - 54. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -0.439, 2\/11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqfffqqqqnqqqqqq. What is prob of sequence fff?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - n + 195. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15331.25 years to centuries.\nAnswer: 153.3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216426 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 1 in increasing order.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.56 + -3.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3519, 19, 20.\nAnswer: 19, 20, 3519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (1\/3)\/((12\/63)\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1309.6*-0.3\nAnswer: 392.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -433\/730 + -1\/146. What is the closest to -6 in 0.5, -2, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w**3 + 3*w**2 - 3. Let p be x(1). Solve -2*k - 2*s = -2, k - p*s + 8 - 15 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 106 (base 13) to base 14\nAnswer: c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 10 = 32. Suppose -s + l*v = -0*s - 320, 5*s - 1600 = -v. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 4*x + 26, -7 + 27 = -4*r - 3*x. Suppose 3*l + 88 = -l. Let n be 84\/l - 2\/11. Sort -1, n, r in ascending order.\nAnswer: n, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*c - 63*c + 12*c + 19*c to h + a*c and give a.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -1 - -9)\/(18 + -19).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**3 + 206*m + 448 wrt m.\nAnswer: 6*m**2 + 206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 40 * -403890\nAnswer: -16155600","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -137*m + 131*m + 1410. Let w = 310 - m. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1232*d = 891*d + 2728 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 359811 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 3*q - 2*u, -19*q + 7*q = -4*u - 41 - 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2 (b) -16 (c) 0.2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 35\/4 (c) 0.5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54 - 160\/3. Let z = 0.27 + -1.27. What is the smallest value in -4, -4\/3, z, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 0 + 0)*(2 - 2 + 2*o) + 4*o**2 + o**2 - 3*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5 - 10 = 0. Suppose -5*d = -y*d - 894. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w - w + 8226786*w**2 - 8226891*w**2.\nAnswer: -105*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/47 + -44\/141. Which is the nearest to 0? (a) -5 (b) p (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1582.99, 6, 2\/41.\nAnswer: 2\/41, 6, 1582.99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**5\/25 - o**4\/10 - 101. Factor g(a).\nAnswer: a**3*(a - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -13*v - 16 + 19 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, s: 2, x: 2}. Give prob of picking 1 x, 1 u, and 2 s.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 + 29*m + 91. Determine v(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5.916 * 4\nAnswer: -23.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -335 - -352. Suppose 0 = -11*t + j*t - 90. Solve 0 = -k - 4*k - t for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4795 + -4798. Sort f, 0.9, -38, 4\/3 in descending order.\nAnswer: 4\/3, 0.9, f, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from aaraedeaadeaeaaaada?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24279, -1, 9, 1, -2, -24.\nAnswer: -24, -2, -1, 1, 9, 24279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -14, -31, -54?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3107435 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -263 times -4\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + 0.3. Let m = 10 - 11. Which is the closest to z? (a) 2\/5 (b) 0.5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 870 = 17*f. Let g(a) = a**3 + a**2. Let l be g(1). Suppose -l*h + 7*h = -4*w + 33, 5*w = -4*h + f. Put -3, h, -4 in decreasing order.\nAnswer: h, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -145120 (base 8) to base 16.\nAnswer: -ca50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 123*o**2 + 2*o**3 + 296*o - 1 - 219*o - 125*o**2 to h*o**2 + q*o + p + d*o**3 and give q.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -42962.8824 to the nearest 10.\nAnswer: -42960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**4 + 748*c**3\/3 - 733*c**2\/3 - 2992*c\/3 + 2980\/3 = 0.\nAnswer: -2, 1, 2, 745\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 208 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 525109372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -z**3\/6 - z**2\/2 + z. Let g(a) be the second derivative of -a**3\/6 - a + 153. What is g(t) + 2*n(t)?\nAnswer: -3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/436932 and 115\/12.\nAnswer: 436932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 25*w - 1930. Determine m(77).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1314 is divided by 525?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 186896 to the power of 1\/2, to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28930, 58574, 88202, 117808, 147386, 176930, 206434?\nAnswer: 235892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03585 to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*g + 148 - 189*g + 121 - 244.\nAnswer: -3*g + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -11*d + 930. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78959 and 5428?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7 + -4)\/(3\/5). Which is the nearest to x? (a) 3 (b) 0.1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 129280396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 16. What is the third smallest value in w, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**1*a)\/(a\/(a\/(((a\/(a\/(a\/(a\/a**1))))\/a)\/a*a*a*a)*a)))\/(a**(1\/5)*a\/(a\/(a**2*a))))**(-7\/2) assuming a is positive.\nAnswer: a**(77\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {m: 1, t: 1, y: 1, b: 6}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1903*j - 9437*j + 20 + 302*j - 20)*(2 - 5 + 2*j**3 + 1).\nAnswer: -14464*j**4 + 14464*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/8 and 1\/851768732?\nAnswer: 1703537464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 610 = -n, 0*n + n - 128 = -f. Calculate the remainder when f is divided by 2*(-1 - 1)*(-119)\/34.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1272 and 4?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -f**5\/120 - f**4\/72 + f**3\/36 - 4*f**2. Suppose l(t) = 0. What is t?\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s*s*s**(-5))))\/(s*s*s\/s**(-9)))**(-46) assuming s is positive.\nAnswer: s**690","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 119 + -171. Suppose 3*f - 2*u = 267, 0*f = -3*f + 5*u + 276. Let z = y + f. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 k when two letters picked without replacement from {k: 1, i: 1, x: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 6*p - 8. Give s(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**4\/8 + 348711*w**3\/8 - 1394877*w**2\/8 + 1743609*w\/8 - 348723\/4 = 0.\nAnswer: -116241, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1889)\/(-4) + (-6)\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01974536 rounded to 3 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 18*c**2 - 28*c + 33. Give u(-16).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(102)*-1)\/sqrt(6)*5)**2 - (sqrt(153) + -5)**2*-5) + 5 + -2)*5.\nAnswer: -750*sqrt(17) + 6590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*b*f**3*m**3 - 6*b*f**3 + 25*b*f**2 + b*f*m**3 + 2*b*f*m**2 - 23*f**3*m**3 wrt m.\nAnswer: -102*b*f**3 + 6*b*f - 138*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 2:17 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7855714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p. Let g(c) = 1131*c**2 + 26*c. Let y(m) = 452*m**2 + 10*m. Let a(r) = -5*g(r) + 13*y(r). Give j(a(f)).\nAnswer: -663*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -14. Let o = 4.02 + -0.02. Sort r, o, 0.3 in ascending order.\nAnswer: r, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06 - 0.04. Let k = -3 + 5. Which is the nearest to k? (a) z (b) 4\/7 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133\/8512 + 4092\/256\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**3\/6 + 3*g**2\/2 - 1. Suppose z(l) = 0. What is l?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 117 - 115. Suppose -3*z + 36 = -5*a - 0*z, -5*a = -2*z + 34. Let n = -4 - a. What is the lowest common multiple of s and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 249970*q + 141258.\nAnswer: 249970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1312, 1308, 1292, 1258, 1200, 1112, 988, 822?\n\"Answer: -z**3 + 3*z + 1310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*y - 20, 15 = -2*d + 4*y - 1. Let x = 0 + d. Solve -x*v - 10 = 5*a, -4*v = -2*a + a - 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 10*r**4 + 40*r**2 - 50*r - 25. Let c(a) = -a**4 - 5*a**2 + 6*a + 3. Let l(q) = -25*c(q) - 3*t(q). Factor l(z).\nAnswer: -5*z**2*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2352 and 294?\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62 - -65. What are the prime factors of 94 + (7 - d)\/(-1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 7:54 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 220909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (-3)\/2 - 0. Let v be -7 + 0 - (-5 - -2). Let t be 3 + v\/10 + -3. Which is the nearest to 1? (a) t (b) 1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*m + 154 = -346. Let g(a) = -a**2 + 9*a - 5. Let p = 28 + -20. Let h be g(p). Solve h*q + 0 - 1 = -2*w, -7 = 2*w - m*q for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -50 - 10*o + 7*o + o - 11 - 44*o**2 + 3*o as a*o**2 + m + f*o and give m.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3*1*3)\/((-297)\/(-3861))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(35) - (sqrt(315) - (sqrt(315) + (sqrt(315) - ((sqrt(315) - sqrt(315)*1 - sqrt(315)) + sqrt(315))))))\/(sqrt(567)\/sqrt(9)).\nAnswer: -8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23812.7 and -0.3.\nAnswer: 7143.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 - 81 + 2101305*t - 1050656*t - 1050649*t + 81.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - b + 215. Suppose -5*o + 17 + b = 0. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 3*h + 4. Let a be f(-3). Suppose -2*o = -a*o + 34. Let r = 44 + o. Does 31 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3766 (base 8) to base 3\nAnswer: 2210111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + 61. Let c = 63.9 - o. What is c rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45282, -52223, -59164?\nAnswer: -66105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3385*r + 256 + 204 = -3365*r for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48845*l**3 + 409277 wrt l.\nAnswer: -146535*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -628, -2058, -4440, -7774?\nAnswer: -12060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6317127549 rounded to 5 decimal places?\nAnswer: -0.63171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209528 is divided by 9524?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o - 3 - 5 - 8)*(2*o - 6*o**2 + 3*o**2 + o**2) + 20*o**3 - 7*o**3 + 10*o**3 to r*o + t*o**3 + p + l*o**2 and give l.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 630 a factor of 32776031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, c: 2, u: 10}. Give prob of picking 1 u and 2 c.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21293*v**6 + 88*v**5 - v**3 - 3326011*v**2?\nAnswer: 2555160*v**3 + 5280*v**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 + -9.3779647867?\nAnswer: -72.3779647867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207791250?\nAnswer: 2, 3, 5, 55411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59 - 11. Suppose 4*o - k = o. Suppose -5*a + 4 + o = 0. Sort a, 5, 0 in decreasing order.\nAnswer: 5, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/7)\/((-100)\/50)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -3 + (23 - 1) - (6 + -4)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -1\/11, 1\/5, -3, 2?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 18*k**3 + 464*k**2 + 2938*k - 676 = 0.\nAnswer: -13, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2835390 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 154 (base 13) to base 15.\nAnswer: 10d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 93 + 21. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02531239103 - 2.4.\nAnswer: -2.37468760897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25455865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 5. Let w(u) = u - u**t + u + 1 - 8. Let b be w(-6). Round b to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -5*r + 9 + 3*r + r. Let s(i) = -i**2 + 20*i - 16. Let u be s(19). Let n be g(u). Solve 0 = 3*j - j - n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 76 = 20. Let n be (-68)\/g - 6\/63*-3. Suppose -13*l + 8*l = -n. Solve -2*s - l*s - 20 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47471776 divided by 37796?\nAnswer: -1256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -642*c. Let h(b) = 2*b**2. Give h(z(t)).\nAnswer: 824328*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -5 + -7 + 7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-6) + (-3 - -5).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -y**5\/60 + 2*y**3 + 38*y**2. Let n be j(3). Solve 0 = n*z - z - 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*a**5 - 3*a**4 + 159*a**3 + 400731*a**2 wrt a.\nAnswer: 420*a**2 - 72*a + 954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 70*j**2 - 3*j - 4. Let w(x) = x**3 + 4*x**2 - 6*x - 3. Let r be w(-5). What is the hundreds digit of g(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43248 and 843336?\nAnswer: 1686672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113833139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*v - 28 = 162*v. Which is bigger: -93\/7 or v?\nAnswer: -93\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 28b75b0?\nAnswer: -28b75a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3741*o**6 + 19*o**5 + 4*o**2 - 389*o - 44 wrt o?\nAnswer: 448920*o**3 + 1140*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**17*c**8*c assuming c is positive.\nAnswer: c**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 0)*(-4*i + i + 0*i)*(-6 - 18*i + 6 - 2 - 2*i + 2 + (-5 + 2 + 5)*(4*i + 0*i - 5*i) - 1 + 1 + 2*i).\nAnswer: -420*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 120988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(19\/3)\/t**(1\/2))\/((t\/(t*t**(3\/5)\/t*t*t))\/t*t**(-16\/7)) assuming t is positive.\nAnswer: t**(2251\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/14 - (51\/(-7) - -3). Let c(j) = j**2. Calculate c(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 12 - 8)*(-x - x + x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -389529929 divided by 1.\nAnswer: -389529929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(148\/259*7\/1).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -911, -841, -717, -533, -283?\n\"Answer: m**3 + 21*m**2 - 933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-24)\/20)\/2 + 54125\/(-1250). Do -44 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -1\/20*d**5 - 1\/2*d**3 + 1\/2*d**2 + 2*d + 0 - 1\/3*d**4. List the prime factors of j(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 4 + (0 + 1 + 1)*(-3 + 1 + 4) + 2 - 1 + 0 - 2 + 2 + 3)*(19854*a - 620*a**3 + 1630*a**3 - 19854*a) as n*a**2 + m + k*a + b*a**3 and give b.\nAnswer: 7070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 311558 (base 10) in base 9?\nAnswer: 524335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.119096 + 0.5.\nAnswer: 0.380904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 36 = r. Solve 5*l + 1 = -r*j + 19, -20 = -2*l - 4*j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.57189 - 1.08099. Let i = p - 0.1209. What is i rounded to zero dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(10\/7)\/m**(4\/27))\/((m\/(m*m**(5\/6)))\/m**(-16)) assuming m is positive.\nAnswer: m**(-5249\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 26*a - 22*a + 3290 = -3*a for a.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 v when three letters picked without replacement from etvtderv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12365 - 123763\/10. What is the common denominator of 53\/20 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3138, -1, 8 in ascending order.\nAnswer: -1, 8, 3138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/15104 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47 or 0.3?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 - l. Let m(n) = 2*n**2 - 4*n. Let b(c) = -7*c**2 + 6*c. Let o(p) = 2*b(p) + 3*m(p). Calculate o(d(u)).\nAnswer: -32*u**4 - 32*u**3 - 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 32 = 41*m. Let w(c) = -c + 1. Let q(g) = -4*g**2 - g. Let d(b) = -b + 16. Let s be d(11). Let l = -4 + s. Determine l*q(j) + m*w(j).\nAnswer: -4*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39046?\nAnswer: 2, 7, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36525.\nAnswer: 3, 5, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 993 is divided by 65?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/2072 and -97\/6796062?\nAnswer: 1005817176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 - 3*y + 2. Let o = -5 - -7. Let m be d(o). Let w(x) = -3*x. Let a be w(-2). Solve -m*v = -3*q + 25, -2*v + a - 17 = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of c**4\/12 + c**3\/3 - 2*c**2. What is the lowest common multiple of d(10) and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d0bcd (base 14) to base 6.\nAnswer: 14430521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -249 (c) -3 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdlaaataaan. What is prob of sequence nt?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33.1 + -29. Let m = -4.09999906 + v. Round m to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -838 + 830. What is the smallest common multiple of 144 and (-1 + -2)*1*l\/8?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/(-63) + (-166)\/36 and ((-1)\/20)\/(2\/(-355))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/19)*b)\/b**(1\/2)*(b**(-15)*b)\/(b*b**(3\/7)) assuming b is positive.\nAnswer: b**(-3719\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9033270511.\nAnswer: 41, 67, 113, 29101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 20. Let g = -209 + 234. Let i(s) = -6*s + 162. What is the remainder when x(0) is divided by i(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.133264 litres to millilitres.\nAnswer: 7133.264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872)*-1)\/(sqrt(4) + sqrt(64)*5 + sqrt(4)) - (sqrt(325) + (2 + sqrt(325))**2 - (-2 + sqrt(13)*-3)).\nAnswer: -331 - 311*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1044 (base 5) in base 12?\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23595 and 14120095.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 212969*p**3 + p**2 + 34*p - 35. Is o(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 6 = -0. Suppose x*h + 8 - 2 = 0, 63 = 4*w - 5*h. Let n be w\/16 - (-3)\/(-4). Solve 3 = -5*v - 3*m, n = -2*v - 4*m - 3 + 13 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(((-72)\/9)\/(-8640)). Does 4 divide (s\/135)\/(2 - (-2 + 2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42431289 to the power of 1\/3, to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1220 and 159140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -3457 = -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6*o + 4*r = -19108, -5*o = -r - 19102. List the prime factors of o.\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60541 and 5447?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2 - 128*u - 120*u + 0 + 367*u - 122*u. Let c(l) = 48*l - 33. Calculate 2*c(k) + 33*y(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -87*80\/(-8120) - (1 + 1)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 152*t + 1216. Let p be d(-8). Is p smaller than 2\/6291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-826 - 826 - 574)*(0*f + 3*f + f).\nAnswer: -8904*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + f = 0, -3*d + 51 = 5*f. Suppose 3*h = 4*s - s - 54, 3*h = -3*s - 24. Calculate the remainder when d is divided by (-2)\/h + 1035\/117.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 250 and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41670.29 - -41670. Sort 0.4, m, -6.\nAnswer: -6, m, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*(-111)\/(-222)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18.44 + -18. Let v = -4.68 - -0.34. Let t = j + v. What is t rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-7 + -12)) + 0 + 12 + 12\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1128903 and 164973.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.1, 40870, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000216778 to six decimal places.\nAnswer: 0.000217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 11:43 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-3 + 0) - (-5 + 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76300923241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6, -108, 0, -3 in descending order.\nAnswer: 6, 0, -1, -3, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*k, 874 = -4*x + 2*k - 544. Suppose -42*t = 14*t + 105336. Let z be (-1)\/((-10)\/(-55) - x\/t). Calculate the highest common factor of z and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/12 + 354\/72. Solve -4*q + m*k = 4, -2*q - 3*k = -k + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 4*h + 7*h - 12*h)*((3*h + 5*h + 3*h)*(-h + h - h) + 2*h**2 + 0 + 0).\nAnswer: 9*h**3 - 126*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -8*k + 5. Let v be (1 - (-3 - -1)) + 2. Let p(w) be the second derivative of 1\/2*w**2 - 1\/6*w**3 + 0 - 28*w. Give v*p(j) - t(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -1073893*m. Let w(i) = -132*i. Give w(h(u)).\nAnswer: 141753876*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/15801 and -4\/77631.\nAnswer: 1785513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 445*z - 448*z = t - 8, 0 = -4*t - z - 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72265189987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2304 divided by -247?\nAnswer: -2304\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (17 + -5)*(-6)\/(-4). Let d = x - 16. Solve k = d*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 56\/5*c + 14\/5*c**2 + 64\/5 + 1\/5*c**3 = 0. Calculate c.\nAnswer: -8, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = 22 - 6. Let p be s + -3 + 11 + -2. Which is smaller: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 371848773 to the nearest integer?\nAnswer: 19283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111612 - 3*s**2 - 111612 + 5*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -15055 in decreasing order.\nAnswer: 5, 1, -15055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 132659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 38*p**2 + 78*p + 250. Give f(-36).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, d: 2, p: 1, i: 9, t: 7}. Give prob of picking 2 d and 1 t.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 986d354?\nAnswer: -986d353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 230, 989, 2272, 4073, 6386, 9205, 12524?\n\"Answer: -s**3 + 268*s**2 - 38*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**1)**(-2\/5)\/(((r\/(r**(-6)\/r)*r)\/r)\/(r\/r**(-2\/9)*r)))\/(r**(1\/2)\/r**(-4))**(-15) assuming r is positive.\nAnswer: r**(5483\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (87*h**4 + 86*h**4 + h**4)*(-3 + 5 - 1)*(-h - 2*h - h).\nAnswer: -696*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 594344 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7a8 - 13?\nAnswer: -7bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1*-3*(-3)\/((-234)\/4)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 5:21 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 14*y**2 + 35*y - 10. Let m be c(11). Let z(b) = -5*b + 11*b - m*b + 1 + b + 5*b**2. Let a(q) = -9*q**2 + 9*q - 2. Calculate -3*a(i) - 5*z(i).\nAnswer: 2*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 4740 in descending order.\nAnswer: 4740, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - 3150?\nAnswer: -3135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29542325.\nAnswer: 5, 479, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*x + 44*x - 304 + 304 to the form z + v*x and give v.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30.69 + -60.15. Let q = -0.54 + i. Let l = q + 30.00000048. Round l to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from ssmsmsmssm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 4:31 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qaassanxnaxanxaqqxss. What is prob of picking 3 a?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-27)\/(-21) + (-4)\/14. Let k(y) = -l + 1 + 2*y**2 + 0. Let q(c) = -2*c. Determine q(k(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -79?\nAnswer: 7.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*10\/880*3.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 v, and 1 h when four letters picked without replacement from {v: 2, i: 4, m: 4, h: 2, p: 1, g: 1}?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 31. Let w(x) = -x**3 - 8*x**2 - x - 4. Let b be w(g). Suppose b*u + u - 2*f = 245, 2*f + 151 = 3*u. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1379 is divided by (20\/3)\/((-1)\/((-63)\/14))?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 1. Let q(m) = -1. Let u(t) = 5*o(t) - q(t). Let r(d) = d + 17. Let k(c) = -6*r(c) + 17*u(c). Let v(x) = 2*x**2. Give v(k(a)).\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 355138170197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*u**2 + 1 + 2*u**2 - 3*u**2 with respect to u.\nAnswer: 14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 355427807 times -0.2\nAnswer: -71085561.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -131.6+0\nAnswer: -131.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1872) + -1 - sqrt(1872)) + (3 + sqrt(13) + -1 + -2)**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**3 - 7*j**2 + 3*j - 1. Let f be s(3). Let o be (f\/(-5))\/(42\/(-70)). Let g = 1 - 0.9. What is the biggest value in -5, g, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*w + 65. Let s = w - -16. Suppose 0 = 5*d - d - s*u - 69, 4*d - 109 = -5*u. Solve 3*l = 3*c + d, -4 = 2*c - c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.808 - -0.12?\nAnswer: 0.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 8:35 AM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 802503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**3 + 9*f**2 - 7*f - 6. Let b be r(-5). Suppose -b*v - v = -245. Calculate the remainder when 194 is divided by v.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 296*x**2 + 13310*x**2 + 2480*x**2 + 1590*x**2 to the form o*x**2 + m*x + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 at most as big as -706\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c - 4*c**3 + 2*c**3 + 2*c**2 - 15504 + 15415 + c**2 - 2*c**2 to the form w*c**2 + d + q*c**3 + t*c and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-77))\/((-65)\/(-35)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2 + 0*o + 6*o + o. Suppose 9*p = -131 + 113. Give v(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5255 and -5252 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9, 43325 in descending order.\nAnswer: 43325, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 - 2*b**2 + 4 + b**2 - 4*b. Let o be v(4). Let i be (-5 - 0)*((-4)\/(-5))\/(-2). Solve -3*k - 27 = o*g, k + k = -i*g - 16 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 33228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 7*h**2 + 9*h + 16. Give l(9).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61 - 257 + 126)*(-5 - r + 5).\nAnswer: 70*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + 0 + sqrt(76)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 1 = 4*z - 3*z, -z - 1 = 4*u. Let f(s) = -s - 1. Let j(q) = -13*q - 6. Calculate z*j(p) + 4*f(p).\nAnswer: 9*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 76\/((-456)\/(-135))*10\/(-15)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 21*x**2 - 45*x - 8. Calculate m(23).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1855*b - 1854*b = -3*f + 8, b + 20 = 4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.032 - -63.232. Let v = n - 263.2. Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688.2078ml in litres?\nAnswer: 0.6882078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7416909 is divided by 1146?\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 36a6 (base 16) in base 8?\nAnswer: 33246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-5*sqrt(18)*1*-2)\/(-3*sqrt(729) - 2*sqrt(81)).\nAnswer: -40*sqrt(2)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22)\/(-8) - ((-8)\/36 - 29\/1044). Sort -5, -98, n, -31, -3 in decreasing order.\nAnswer: n, -3, -5, -31, -98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 536747424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 3*u + 3, 5*t - 149 + 153 = 4*u for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1059236 (base 10) to base 12.\nAnswer: -430b98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 + 37 + -45 - -54) + 1 + 7.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 5, 2\/7, -44, 6\/7, 0.069?\nAnswer: 0.069","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34 + 441004340?\nAnswer: 441004424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 83793.7g?\nAnswer: 83793700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -9*l - 23. Let x(p) = 10*p + 21. Let a(q) = -3*o(q) - 2*x(q). Let f be a(-4). Let n = 0.94 + 0.06. What is the closest to n in -0.05, f, 5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/10)*g**(2\/15)*(((g*g**(2\/3)*g)\/g)\/g)\/g**0)**(-47) assuming g is positive.\nAnswer: g**(-423\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.2, -2\/9 in ascending order.\nAnswer: -2\/9, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 906 and 81842?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -6.61.\nAnswer: 33.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48372981?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 986431*u**5 - 2*u**4 - 2*u**3 + 22418963*u wrt u?\nAnswer: 19728620*u**3 - 24*u**2 - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 5*u**9\/3024 + 11*u**8\/168 + 121*u**7\/168 - 148*u**3\/3 - 81. Let g(n) be the third derivative of c(n). Solve g(y) = 0.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 6*r**2 - 2*r + 24. Let k be w(6). Solve -k = 2*j - 6*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6125*x**2 + 38150*x + 59405.\nAnswer: 5*(35*x + 109)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 599310 and 119862?\nAnswer: 599310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23755 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q + 8. Let w be d(2). Suppose c - w*x - 336 = -4*x, -c + x + 330 = 0. Let i = 577 - c. List the prime factors of i.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1678186376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*p**2 + 392 + 252 - 165 + 17*p**2.\nAnswer: -2*p**2 + 479","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 772.226 or 320?\nAnswer: 320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16899, 16836, 16773?\n\"Answer: -63*l + 16962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 26 - 9989?\nAnswer: -9963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -0*x + 20. Let h be -3*434\/28*(-4)\/33. Do x and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -688779 divided by 2639.\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*1 - -1 - 1. Suppose -k + 10 = -4*q, 3*q - 2 - 2 = -5*k. Let p be 0\/k - (5 - c). Let n(f) = -f**2 - f + 1. What is n(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2243263 (base 7) in base 2?\nAnswer: -1000100010010001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 m, and 2 x when four letters picked without replacement from {f: 10, m: 6, x: 4}.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/107271 and 137\/2214.\nAnswer: 8796222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 6165822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - -5*sqrt(17)*-2)*-2 + (sqrt(2448) - (sqrt(2448) - sqrt(2448)*-2) - -4*(sqrt(17) + 1)))**2.\nAnswer: -16*sqrt(17) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/140 and -61\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13)\/3 - (-2)\/6. Let s be (-1)\/((-6)\/z - 1). Sort -4, 4, s in descending order.\nAnswer: 4, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.415 and -139.\nAnswer: -335.685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 62\/15 - 4 - ((-583)\/66)\/53\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1318.\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 35*d**4 - 109*d**3 + 8*d**2 + 12*d = 0?\nAnswer: -2\/7, 0, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k + 3 + 1 + 3*k - 3*k. Calculate s(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((0 - -4) + -4)\/(13 + -11). What is the nearest to -1\/6 in 0.3, t, 3\/19?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62*136.97\nAnswer: 8492.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4262252, 8524507, 12786762, 17049017, 21311272, 25573527?\nAnswer: 29835782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/9, -14\/3, 0, 778, 3.\nAnswer: -14\/3, -1\/9, 0, 3, 4, 778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*h + 73*h**2 - 75*h**2 + 21*h.\nAnswer: -2*h**2 + 80*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(90) - 3*(sqrt(90) - 2*sqrt(90) - sqrt(90))) + sqrt(90))\/(sqrt(12)\/(sqrt(2) + sqrt(2)*2)))\/(-3*(-1*sqrt(240) - sqrt(240) - sqrt(240))\/sqrt(5)).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 69.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -205545777 - -3?\nAnswer: -205545774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 162\/(-378) - (-486)\/7. Let t(c) = c**3 + 7*c**2 + 5*c - 2. Let x be t(-5). Calculate the highest common divisor of k and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + 0 + -2)**2.\nAnswer: -36*sqrt(11) + 895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*(v**(-1\/5)\/v)\/v*v)\/v)\/v)**(-44)*v**18*v**(-19)\/v)**(-35) assuming v is positive.\nAnswer: v**(-3318)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/2 of a millennium in centuries?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**4 + 0 + o**3 + 0 - 2*o**2 + 4*o**4 + 2*o to the form k*o + w*o**3 + s + n*o**4 + i*o**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222692*t = -222691*t - 5*d - 174, -38*t + 4*d = -102 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -44 (c) -0.3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -bc1 - 1?\nAnswer: -bc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 6) to base 7.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45995, 182793, 410797, 730013, 1140447?\nAnswer: 1642105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1360468 - -20220468. Round u to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4415 + 26*a - 4424 + 8842)*(-2*a - a + a + (-2*a + 4*a + 0*a)*(4 + 0 - 2) + a + 4*a - 4*a - a + 3 - 3) to z*a + n*a**2 + g and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 3*t + 480. Suppose 0 = r + 4*r - t. Suppose -4*z = -1 - 23. Calculate the greatest common divisor of z and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 + 530*y**2 + 2015*y - 2550.\nAnswer: 5*(y - 1)*(y + 5)*(y + 102)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 (base 16) in base 7?\nAnswer: -266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**7*u)\/u*u*u\/((u*u\/(u\/((u\/(u**18\/u)*u)\/u)))\/u) assuming u is positive.\nAnswer: u**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27164405 is divided by 27164397?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b. Let f(x) = x**2 + 31*x + 13. Let c(z) = f(z) - 6*s(z). What is the tens digit of c(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qw when two letters picked without replacement from {q: 1, w: 5, a: 3, n: 3, k: 1}?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 294\/(-63)*(3 + 36\/(-8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 92 = 4*a. Find the second derivative of -a*o + 4*o + 9*o**2 + 7*o wrt o.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-387)\/81 + -1 + 6. What is the second biggest value in 3\/17, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - -17*1*3\/(-3). Let x(a) = a**2 + 8*a. Let y be x(-8). Let s(l) = -l**3 + l - 1. Let g be s(y). Are g and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-45)\/6*20\/(-6). Suppose 2*q = 10, 4*a + q + j = 114. Calculate the remainder when 41 is divided by a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -22*g. Let c(w) = -6*w - 6. Let m(k) = k + 3. Let v(z) = -c(z) - 2*m(z). What is d(v(r))?\nAnswer: -88*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30 + 125?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -2\/11, 2\/5, 0.5, -0.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 793617 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*f - 10*f + 13*f + 4*f + 0*f - f + (2*f + 0*f - 4*f)*(1 - 2 + 3).\nAnswer: 27*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3 = -0, -5*o - 7 = 2*x. Let u(g) be the first derivative of -g + 1\/3*g**3 + 2 - 1\/4*g**4 - 1\/2*g**2. Determine u(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57.3 - -57. Let j(u) = u + 24. Let d be j(-22). Which is the closest to h? (a) 5 (b) d (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.4730735 + -370?\nAnswer: -370.4730735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 6*m - 149. Calculate c(-6).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -173, -157, -107, -5, 167, 427, 793, 1283?\nAnswer: 1915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 13 + 2. Suppose d + 48 = s*d. Suppose 2*h = 4*h. Solve 5*q - 4*c = -h*c - d, c = -3*q - 14 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aad when three letters picked without replacement from gdyrydagryaagarrgyyy?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 19. Find the third derivative of 48 + z**2 - 6*z**d - 4*z**2 - 48 wrt z.\nAnswer: -360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 96.5 + -97.5. Put 5, q, 3, 10 in ascending order.\nAnswer: q, 3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 24ed?\nAnswer: -24ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 567?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4321300 rounded to the nearest one hundred thousand?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4635598m in millimeters?\nAnswer: 463.5598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*o - 836*o - 612*o - 22968 = 235*o for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5924250 - -1.816.\nAnswer: -5924248.184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minus -18735?\nAnswer: 18754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/6)\/(9\/(-63))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**7\/21 + z**6\/3 + 9*z**5\/10 + 7*z**4\/6 + 2*z**3\/3 - 3*z + 5. Let v(o) be the first derivative of d(o). Factor v(g).\nAnswer: 2*g*(g + 1)**3*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 15*b**2 - 25*b - 14. Let n be s(13). What is the second smallest value in n, -3, 25?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169686861 is divided by 345.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 7*x**2 - 7*x + 7. Let g be m(8). Let v = -72\/5 + g. Let k = -3.9149 - 0.0851. Sort -4\/7, k, -5, v.\nAnswer: -5, k, -4\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, 0.5, -4, 3020, -16 in increasing order.\nAnswer: -16, -4, 0.08, 0.5, 3020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -12. Let c be -1 + n + 2 - -1. What is the second derivative of 5*k + 2*k**c - 8*k + 2*k**4 wrt k?\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -62.31 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 92. Suppose -6*n + x = -n. Suppose 0 = -5*l - 3*k - 36, k - n = 4*l - 4*k. Let m(u) = -u. What is m(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.3 - 0.3. Let t = -26 - 0.8. Let y = t - -27. Put 0.5, j, y in decreasing order.\nAnswer: j, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 867263970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*a**3\/4 - 340741*a**2\/2 - 61953*a\/4.\nAnswer: a*(a - 61953)*(11*a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126751372 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 100*a + 149 + 323 - 457 + a**2 as z*a + d*a**2 + v and give z.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.064 rounded to 0 decimal places?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kqrn when four letters picked without replacement from {r: 1, q: 1, k: 4, n: 3, t: 2, l: 4}.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 5*f, -399*f - 2*k = -397*f + 4. Solve -4*c + 24 = n + 3*n, 0 = -5*n - f*c + 22 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -73190537*k - 43076608.\nAnswer: -73190537","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 810 and 22545?\nAnswer: 135270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**3*o**3 + c**3*o - 3387*c**3 - 1452*c*o**3 + c*o**2 wrt o.\nAnswer: 18*c**3*o - 8712*c*o + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -397406*i*j**4 - 332*i*j**3 - 2*i + 23650783*j wrt j.\nAnswer: -4768872*i*j**2 - 1992*i*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.61842 centuries in years?\nAnswer: 7061.842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6, 10, -97, 3 in descending order.\nAnswer: 10, 5, 3, -6, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -122114 (base 5) in base 14?\nAnswer: -19ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, 5, 0.03.\nAnswer: -5\/4, 0.03, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*((6*(sqrt(68) - (1 + sqrt(68))) - (sqrt(68) + (sqrt(68) - -2*sqrt(68)*2))) + -3)*6 + -1)**2.\nAnswer: 7344*sqrt(17) + 90729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.48693 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1320879 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: -13 (base 4) to base 12\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 3 + 2*x + x**2 - x - x**2. Is 5 a factor of l(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 726 and 330.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**3 + 142*l**2 - 142*l**2 - 2*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -220 - -209. What is the smallest value in -1, -1.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -230 - -230.2. Let f be ((-4)\/6)\/(2\/(-3)). What is the closest to f in 2, b, -6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**15*v\/(v*v\/(v**(-1\/2)*v))*(v*v**(11\/4))\/(v*(v**(13\/4)\/v)\/v) assuming v is positive.\nAnswer: v**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 83.41 to 0 decimal places.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.531 * -0.0611\nAnswer: 0.0324441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t**2 - 192*t - 977. Give m(-5).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2 - 5*n**2 - 3*n**2 + n**2. Suppose -y - 3*y = -c - 4, 8 = -4*y + 4*c. Let w(u) = y*u - 3*u + u + 2*u**2. Calculate s(w(p)).\nAnswer: -36*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1486*t**2 - 1696*t?\nAnswer: -2972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5428257 litres?\nAnswer: 542.8257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2731, -10967, -24693, -43909, -68615, -98811, -134497?\nAnswer: -175673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**5\/60 - a**4\/4 + 4*a**3\/3 - 8*a**2\/3 + 4*a + 110. Factor c(q).\nAnswer: (q - 4)**2*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 648.286 milliseconds?\nAnswer: 648286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43070 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8962215.\nAnswer: 3, 5, 181, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 12:28 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*((-13)\/10 - -1). Let h = 31.7 - 31. Let r = h + -1. Put 1, r, m in ascending order.\nAnswer: m, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9742*m**2 - 5662*m**2 - 5404*m**2.\nAnswer: -1324*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -104*p**2 - 44\/3*p**4 - 112\/3*p + 32\/3 - 212\/3*p**3 = 0. What is p?\nAnswer: -2, -1, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 2*y**2 - 4. Let g be (-4)\/6 + 46\/6. Let v(q) = -49*q. Let f(t) = -33*t. Let l(a) = g*f(a) - 5*v(a). Give x(l(h)).\nAnswer: 56*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 906621411?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4061 and 14353.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10531 - -4?\nAnswer: -10529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -200, -2136, -5360, -9872?\n\"Answer: -644*v**2 - 4*v + 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 3*h + 17, 5*h - 21 = 5*o + 4. Let i be h\/(-3) + ((-76)\/3)\/(-4). What is the highest common divisor of i and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-336)\/108)*140\/(-21).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 8:40 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 154*o + 21195. What is r(-89)?\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 15*k**2 - k - 16. Let l(i) be the third derivative of -i**4\/24 - 10*i**3\/3 + 158*i**2. Let m be l(-5). Calculate g(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 604 + 250 = 14*i. Is 22 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + 43. Solve z + 4 - 1 = f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 15, -0.1, 0.0089, 0.05, -1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21393733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/858*-209 + 2\/(8\/6)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158800 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.638987 tonnes in nanograms?\nAnswer: 638987000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 17*v**2 - 2323*v. Let j(p) = -3*p**2 + p. Calculate -6*j(r) - m(r).\nAnswer: r**2 + 2317*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22256 by 6.\nAnswer: -11128\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 - -0.01. Let g = x + -4.05. Which is the closest to 2? (a) 3 (b) -0.2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -191*h - 49661. Calculate o(-260).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 467 + -470. Let b be w\/(3\/(-2)) + 95\/19. Is 10 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12131, -12224, -12329, -12440, -12551, -12656, -12749?\n\"Answer: t**3 - 12*t**2 - 64*t - 12056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 5:13 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17083 + -3617. What are the prime factors of y?\nAnswer: 2, 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/32 + -53\/352. Let z be ((-4)\/(-10))\/((-1)\/(-2)). Which is the second biggest value? (a) z (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/10 - 18\/45?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -473*c**3 + 246*c**3 + 235*c**3.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41? (a) 63\/10 (b) -2 (c) -73 (d) 2\/5 (e) -0.5 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*u - 458 + 8606 = -978*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) 868 (c) -23 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2569 (b) -2\/7 (c) 51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1490193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-2))\/((-3)\/12). Let f(p) be the first derivative of -p**4\/4 - 2*p**3\/3 + p**2 + 2*p - 112. Determine f(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6140, 6113, 6086, 6059, 6032, 6005?\nAnswer: 5978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sswsswosossswssowsss. Give prob of picking 1 w and 2 s.\nAnswer: 26\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1443941116 by 4.\nAnswer: -360985279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k + 5. Let l(o) = o - 1. Let q(y) = -3*l(y) - w(y). Let a be q(-5). Is -3*((-28)\/3 - a) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.79667 - 0.00333. Which is the third biggest value? (a) r (b) 0.63 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 3. Let h(v) = 2*v + 4. Let z(i) = i**2 + 7*i - 1. Let n be z(-8). Let a(l) = -l - 3. Let t(g) = n*a(g) + 5*h(g). Calculate t(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19026202?\nAnswer: 2, 13, 59, 79, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04655 + 374.05345. Let p = -311 + v. Let i = -63 + p. Which is the closest to 0? (a) 2\/17 (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10641140.\nAnswer: 2, 5, 19, 41, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c**2 - 3*c + 5. Let r(n) = 8*n**2 + 4*n - 7. Give 7*q(z) + 5*r(z).\nAnswer: 5*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1130201 + -21023021?\nAnswer: -13232220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 86355 divided by 505\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -114739194.\nAnswer: -114739193.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**3\/2 + 5330*y**2 + 1892800*y + 185602560 = 0. What is y?\nAnswer: -1716, -208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005340288 rounded to six decimal places?\nAnswer: -0.000534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1578*6\nAnswer: 9468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 946 a factor of 12482470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(5\/53) + -48*(-65)\/(-1950)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3164*t - 303793. Give d(96).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*j - 6706 = 251*j for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 18*h**2 - 18*h - 13. Let s(l) = -35*l**2 + 33*l + 20. Give -5*q(w) - 3*s(w).\nAnswer: 15*w**2 - 9*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from msvsvvsvvmvv. What is prob of picking 2 v and 2 m?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 1:03 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -82413 + 82412.9999965279. What is r rounded to 7 dps?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggggggyy. Give prob of picking 1 g and 1 y.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/43 less than -136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -73, -476, -1573, -3712, -7241, -12508?\n\"Answer: -58*p**3 + p**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/16 of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -59*v + 65*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 + (-4)\/(1\/1) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 2*r + 2274 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - 24. Sort 0.2, d, -1\/6, -0.3 in descending order.\nAnswer: d, 0.2, -1\/6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 591696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10086 by -3.\nAnswer: 3362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-12)\/(-1*2). Let d be (-28)\/(-6) - 4\/b. Suppose -5*x + d*x + 38 = -g, x - 23 = 4*g. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0, 0.3, 0.28?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 497 - 201 - 30*r**2 + 257*r**2 + 625 + 62*r**2 wrt r.\nAnswer: 578*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*u = 21. Let k(y) = -4*y + 5. Let q be k(u). Is q\/(-2)*(-16)\/24 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, -76, -20, 72, 200?\nAnswer: 364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 21*m - 10972. Calculate the remainder when m is divided by (31 + 34)*(-1 + 2).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i. Let f(p) = p. Let k(n) = -24*n - 6. Let j(o) = -18*f(o) - k(o). Let r(c) = -j(c) - q(c). Is r(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -3.01. Let u = 5.99 - w. Let v = u - 4. Which is the biggest value? (a) 0.2 (b) v (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 1 = 2*n + 7, -2*i + 4*n - 4 = 0. Suppose -2*v + v + 1 = 0, 12 = q - i*v. Calculate the greatest common factor of q and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2740 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 1. Let r be a(-6). Suppose -22 = -5*b - r. Let i = 0.1 - 0.4. Sort b, 2, i in ascending order.\nAnswer: i, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 6.498525 years?\nAnswer: 0.006498525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4219 = 41*j + 23899. Is j >= -479?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 0)*(-2*a**2 - 15*a**2 + a**2)*(-27 + 9 - 173759*a + 173823*a) to the form y + u*a + b*a**3 + q*a**2 and give q.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*x**2 + 81338*x**3 + 29*x**2 + 2*x**2 - 8*x**2.\nAnswer: 81338*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-3) - (-8)\/(-12))*43. Let u = -42 - w. Put 2, 0, -4, u in descending order.\nAnswer: 2, u, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -9. What is the smallest common multiple of 2\/2*(9 + -4) and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 641463928.\nAnswer: 2, 7, 23, 101, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(-16))\/(1\/(-14)). Let l = u + 29. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11467 divided by -5\nAnswer: 11467\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhv when three letters picked without replacement from hbvb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 - 26. Let m = -14 - -17. Solve -s - i = -m*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 5*o + 60, -25 = 5*u + 4*o - 100. Suppose -7*c + 2*c + u = 0. Suppose c = t + 1. Is t less than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 3. Let r be 26\/7 + d\/(-21). Let m(t) = 5*t**2 - 3*t**2 - r*t**2 + 4*t**2. Let f(l) = 9*l**2. Give m(f(j)).\nAnswer: 162*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -3.64\nAnswer: -3.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f - 7. Let k be t(-6). Suppose -2*g + 5*g - x = -10, g + 4*x = 14. Let u = 1 + g. Put k, 3, u in decreasing order.\nAnswer: k, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 117558334?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40645\/6 - 6774. What is the nearest to -1 in -27, t, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -3*y - 21, 4*w - y = -9 - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*l - 49*l = -1778. Let k = -135 + l. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -210 + 1345\/6. Find the common denominator of i and -29\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22569881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 8053247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 221 + -371. Let s be -750*r\/2*800\/(-9). Round s to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 50.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1254 is divided by 1242.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 2*t + 2*t)*(-2 - 1 + 7) - 16*t - 16*t + 8*t - 4 + 5 + 14*t + 1.\nAnswer: -14*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-29)\/(145\/30))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(-10)*804\/469.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 50 = 2*r - 567, -516 = -5*x - r. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*l + 3*a - 7, 0 = l - 2*a + 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48856206 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6995803 or -6995799?\nAnswer: -6995799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101220212 + 10220?\nAnswer: -101202222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 697*m**5\/60 - 7*m**2. Is p(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 10*u**2. Let o = 2 + 4. Suppose -n = -4*n + o. Let d(a) = a + 3*a - 3*a + n*a. Calculate t(d(i)).\nAnswer: 90*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 4*a + 209544 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 146*w = -133*w + 10995861. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -1 - (4 + 0 + -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**4 + 576*o**3 + 26583*o**2 - 87390*o - 113400 = 0. Calculate o.\nAnswer: -105, -90, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-13\/2)*b)**(8\/21)*(b\/(b*b*b**22))**(1\/72) assuming b is positive.\nAnswer: b**(-1217\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 36 and -0.0566.\nAnswer: 35.9434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.2 (b) 4\/843 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 25. Suppose -h + 5*x = -46, 3*x - 40 = -2*h - d*x. Let b = h - 24. Solve 3*l + 10 = -b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 1. What are the prime factors of d - (2 + -2 + -27)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1565, 2934, 4353, 5846, 7437, 9150, 11009, 13038?\nAnswer: 15261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6 - 22\/4)\/((-10)\/(-59800)).\nAnswer: 2, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82958 greater than or equal to 82956?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*j**2 + 2*j**3 - 2 - 9*j**4 - 24 - 9*j**4 + 25 in the form h*j + d + q*j**2 + i*j**4 + c*j**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - (-3 - 27\/(-4)). Suppose -a + 2 = 2*w, -w + a - 3 = -7. Solve 1\/4*n**3 + 0 - v*n**5 + 0*n**w + 0*n**4 + 0*n = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 5 = -8*l. Let x(u) = -u**3 + u**2 - u. Let c(d) = 4*d**3 - 6*d**2 + 7*d. Determine l*x(q) + c(q).\nAnswer: -q**3 - q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/715 and -11\/9.\nAnswer: 6435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*g + g + 5, 0 = -2*c - 2*g + 6. Let u = c + 2. Let v(y) be the first derivative of y**3\/3 - 3*y**2\/2 + 4*y + 2. Determine v(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -137546.9 to the nearest one hundred.\nAnswer: -137500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.21224 - -0.01224. Sort 0.03, -0.3, v, 28 in decreasing order.\nAnswer: 28, 0.03, v, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -94, -187, -282, -379?\n\"Answer: -l**2 - 90*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*-1*sqrt(468))**2.\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 64 = 4*g + u, 96*u - 95 = 5*g + 141*u for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2329, 4663, 7001, 9343, 11689?\n\"Answer: 2*d**2 + 2328*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 11, z: 5}. Give prob of sequence xx.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5845855 litres?\nAnswer: 584.5855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*g - 8. Suppose 0 = 2*l - l - 5*i + 25, 3*i = -5*l - 13. Let d = l + g. Which is smaller: d or -6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 3. Let c(x) = x - 2. Suppose -39 = -0*i + 3*i. Let t(s) = -s**2 - 15*s - 16. Let d be t(i). Suppose -9*k + 5 = -d*k. What is k*c(v) - 4*g(v)?\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1582)\/(-12) + 7\/42. Let i be b\/(-8)*(-3 + 1). Calculate the greatest common factor of 11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85637 divided by 85637.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 4*y**2 + y + 9. Determine q(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 + j**2 + 14 - 3*j**2.\nAnswer: j**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 4*k + 15, -13*z + 17*z = -2*k + 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 6*q - 7. Let c be a(-3). Let m = c + 3. Suppose -5*r = 2*k - 28, -8 = -r - k - 0. Solve 0 = -f + r*w, -2*f - 2*f + m*w + 11 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-24) + (-20)\/78?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10373 + 67601. What is the lowest common multiple of m and 6?\nAnswer: 57228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 1 - 1)*(9 - 9 + 38).\nAnswer: -76*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -4*q**2 + 4*q**2 + 0*q**2 - 2*q**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -3. Let h(v) = 20*v**2 + 2*v - 2. What is the units digit of h(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 - 29.2. Do -14 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*(((-4 + 4*sqrt(432) + sqrt(432) - sqrt(432)) + sqrt(432))*1 + 1)**2.\nAnswer: -2160*sqrt(3) + 64859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (0 + 7) - 2 - -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 6699*l + 3351*l + 2880*l + 793*l + 3)*(-1 + 2 - 2) as b + a*l and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5*w - 4. Let g(b) = 4*b + 3. Let x(k) = 3*f(k) + 4*g(k). Let t(q) be the first derivative of 36 + 15\/2*q**2 + 0*q. Give x(t(u)).\nAnswer: 15*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -23*i**2 - 11*i**2 + 33*i**2 - 32*i. Let h(c) = -c. Determine h(k(v)).\nAnswer: v**2 + 32*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/3702 and 4\/2235.\nAnswer: 2757990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a gram in milligrams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*t**5 - 2*t**4 + 29155886*t**3 - 1494621711*t**2?\nAnswer: -180*t**2 - 48*t + 174935316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 3. Which is the smallest value? (a) -2\/7 (b) -4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5443376000 to the nearest one million.\nAnswer: -5443000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-8) + (-12)\/16. Let j be 5*6\/20*b. Let c(w) = 11*w**2 - 2*w + 7. Let t(d) = -5*d**2 + d - 3. Calculate j*c(i) - 7*t(i).\nAnswer: 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 + 6*l**2 + 7*l.\nAnswer: -l*(l - 7)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 145?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 5.02504?\nAnswer: 10.02504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2683.8 + 2697.8. What is the nearest to 0 in -5, -3\/8, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - c**2 - 2*c)*(-12*c**3 - 4*c**2 - 3*c**2 + 10*c**3 + 1).\nAnswer: 2*c**5 + 7*c**4 - c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (6 - (-2 - -6) - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 4*c. Suppose 5518 + 7772 = -886*y. Let m(o) be the third derivative of -o**5\/12 + 5*o**4\/8 - o**2. Calculate y*w(z) + 4*m(z).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a*l**3 - 18*a - 33*l**4 - 2*l - 3 wrt l?\nAnswer: -12*a*l - 396*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 434880011?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -24, 2\/11, -2?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*f - 11*f - 456. Suppose 4*m = 4*i - f, i - 24 = -5*m + 27. What is the highest common factor of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 1. Let i be k(1). Suppose 0 = i*j + 5*d - 323, -3*d + 401 = 2*j + 84. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - r**2 - 6*r - 9 + 51*r**3 + 9 + 4*r to the form o + z*r + v*r**2 + c*r**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -166 (c) -4 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/6808 and -109\/15318?\nAnswer: 61272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-2\/33)*f)\/(((f\/(f\/f**18)*f)\/f)\/f) assuming f is positive.\nAnswer: f**(-493\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*r = 18, -4*r = -9 - 11. Let b be (7 - 2)\/(1\/k). Let q(g) be the first derivative of g**3\/3 + g**2 - 5*g + 6. Calculate q(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 787.403484ns in weeks?\nAnswer: 0.00000000000130192375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-406)\/58 - (-3 + 116\/(-14))) + -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92 and 1488056116.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 343497.7 millennia?\nAnswer: 3434977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8786*d - 4242*d - 898932 = 0 for d.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -dd8 (base 16) to base 8.\nAnswer: -6730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1663 - 1655. Let q = -7 + 79. What is the greatest common factor of q and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.709766 rounded to three decimal places?\nAnswer: 12.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1410, 1406, 1402, 1398, 1394, 1390?\nAnswer: 1386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 1\/13, 68.5 in descending order.\nAnswer: 68.5, 4\/7, 1\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.9 (b) -2\/217 (c) 3\/5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 122269?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 5:02 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.7038m to millimeters.\nAnswer: 3703.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 6*a = 3*a + 1, -3*i + 4*a + 18 = 0. Suppose 4*r + 5*k = -19 - 6, -4*r + 15 = -3*k. Solve r = -g + 4, i*c = c - 2*g + 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 64633 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*c + 8, z = 6*z - 4*c - 16. Suppose 14*j + 4*j = 54. Suppose 3*h + 21 = 4*i + 4*h, -j*i - 2*h + 17 = 0. Sort i, z, -3 in descending order.\nAnswer: i, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 685*u - 19298*u + 2424*u - 8604*u.\nAnswer: -24793*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1. Suppose -5*n + 10 = -r. Solve -n*j = -10 - 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -605*k + 18912 - 11464 = -14332 for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p\/(p\/(p*p**(1\/16))*p)))\/(p*p*p**(-6\/7)*p*p*p*p*p))\/((p*p**(2\/3)*p)\/(p\/p**(-1\/3))) assuming p is positive.\nAnswer: p**(-1861\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -c. Suppose c = -2*p - 2 + 16. Is (p\/(-14))\/((-1)\/178) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3034 and 22702?\nAnswer: 34438934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1515084, 1515094, 1515108, 1515126, 1515148?\nAnswer: 1515174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36020394*y**2 + 2*y - 591553031 wrt y?\nAnswer: -72040788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1232 and 20.\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.8 + -6.9. Suppose -4*z + 3*y + 48 - 3 = 0, 51 = 4*z + 3*y. What is the closest to z in -0.2, g, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 21 = 3*w - 2, 4*i + 31 = -3*w. Calculate the lowest common multiple of i*-1*(2 - 5\/5) and 116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 2*z**2 + 6. Let k(h) = -h**3 - 3*h**2 - 7. Let o = 34 - 28. Let a(g) = o*k(g) + 7*w(g). What is the third derivative of a(i) wrt i?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*y - 6. Let u(g) = 15*g**2 - 14*g + 15. Let x(r) = 7*r**2 - 7*r + 7. Let t(l) = 6*u(l) - 13*x(l). What is the units digit of t(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23479 >= 24746?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0019 rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1446885 and 2442.\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8038 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*c - 146*c + 27504 = -197*c - 311*c for c.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 89330814401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 57381 and 3365?\nAnswer: 54016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 15\/4 of a milligram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -11*q + 64. Let s be r(6). Which is the nearest to 0? (a) s (b) 1 (c) -5 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -2 (c) -29 (d) 0 (e) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 265 - 364. Let q = o - -155. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2991\/2*j + 1\/4*j**2 + 8946081\/4 = 0?\nAnswer: 2991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + 3\/(12\/(-40)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4080\/50)\/(-8))\/(49\/735)*(-1)\/3.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dnnvdsvtsssdttss. What is prob of picking 2 d and 1 t?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -900164 bigger than -3600657\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/1602868 and -71\/3?\nAnswer: 4808604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 2*n**3 - 4*n)*(6*n + 18*n - 18*n) + (-1 + 4 - 1)*(-2*n**4 - n**4 + n**4) + n**4 - 3*n**3 + 3*n**3.\nAnswer: -15*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**5 + b**5 + 0*b**5 + (-2 + 0 + 4 + (0 + 5 - 3)*(-1 - 3 + 1))*(-49*b**3 + 49*b**3 + 4*b**5).\nAnswer: -17*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2280 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25\/17 in -2\/37, -2, -0.26?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 10:47 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -34 times 1\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 297 and 3030313.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (8\/18)\/(18760\/(-60300))\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12134.454 months in years?\nAnswer: 1011.2045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 9) in base 16?\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17c291 (base 15) in base 3?\nAnswer: -2011200010201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 28*b**5\/5 - 13*b**2 - 25. Find the second derivative of h(q) wrt q.\nAnswer: 336*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17699 = 18*c + 2213*c + 44769 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3147*z + 1520?\nAnswer: 3147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.6632 and -1.\nAnswer: -1.6632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*j**2 - 41*j + 41*j + 419*j**2.\nAnswer: 353*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 162*p + 334. Calculate j(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 137073\/161 - 6023\/7. Let j = -2192\/161 - r. Which is smaller: -6 or j?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kg when two letters picked without replacement from kgkkkkkkkgkkk?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6*h + 8*h + 4*h)*(-2*h + 5*h - h).\nAnswer: 12*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 3) + 1 - ((3 - 6) + 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 - 3*v**3 + 0*v**3)*((3*v - 6*v + 2*v)*(0*v + 0*v - v) - 12950*v**2 + 6836*v**2 + 8682*v**2).\nAnswer: -2569*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/9)\/(9\/(-5859)*-31) - (-219)\/39.\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 + 675040*l**2 + 56739174504*l - 37281458316384.\nAnswer: 2*(l - 652)*(l + 169086)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-297 + 12 - 16 - 134)*(-2*a**2 - 2*a + 2*a + (3*a - 2*a - 3*a)*(0*a + 4*a - 2*a)).\nAnswer: 2610*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + b**2 + b - 37. Let t be h(0). Let q = -22 - t. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v - 1089 + 1069 = 4*n, -5*n + 5*v - 25 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -344*10032\/(-18088380) - 2\/45\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2518012 is divided by 2371.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 + -12. What is the highest common divisor of 12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - i + 1. Let d be q(1). Which is greater: -32 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.9, -0.1, -6, -11, 162, 0.4?\nAnswer: 162","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.208542 centuries to months.\nAnswer: 6250.2504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 329344359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 12:46 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 909*u**3 + 3098*u**3 - 583*u**3.\nAnswer: 3424*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u + u + 2*u**4 - u)*(-2 + 0 - 2)*(-3 + 3 + 2) + 0*u**4 + 2*u**4 - 5*u**4 to the form o*u**4 + w*u + a*u**3 + n*u**2 + m and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**2*w**3 - 104066*d**2*w - 60*d**2 + 2556*d*w**2 + 868*w**3 + 5*w**2 wrt d.\nAnswer: 2*w**3 - 208132*w - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 + -0.51. What is the nearest to 11 in n, -0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 5*x**5 + 50*x**4 - 118535*x**3 + 236620*x**2 + 355200*x = 0?\nAnswer: -160, -1, 0, 3, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*g + 3 = 0. Suppose 0 = -2*d + 5*c - 15, -g*c + 33 = 5*d - 7. Suppose 7*f = -347 + 361. Solve -d = -f*n + z, 4*n = -n + 4*z + 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31470473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.6 + -0.9. Let f = 3 + t. Let j = -0.30982 + 4.30982. Put j, -3\/5, f, 3 in increasing order.\nAnswer: -3\/5, f, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 6*l + 6 = 0. Let w(x) = -3*x + 21. What is the remainder when l is divided by w(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**2)**(-5\/16)\/(p**(-1)\/(((p**(-10)*p)\/p)\/p)))**(-8) assuming p is positive.\nAnswer: p**85","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6864662, -27458643, -61781944, -109834565, -171616506, -247127767?\n\"Answer: -6864660*o**2 - o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 389 = -4*c + 3*c, -4*c = -5*x + 1556. What is the remainder when c\/(-5) - (-8)\/(10 + 30) is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4618*w**2*x**4 - 3*w**2 + 1395*w*x**5 - 18399*w*x**2 - 3*w - 2*x**2 + 6 wrt x?\nAnswer: -110832*w**2*x + 83700*w*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -951 - -4.98763\nAnswer: -946.01237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/108 and 4\/(-10)*(0 + 755\/24).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-9) + 1\/3. Let m = 2 - c. Solve -x = -m*d - 6, -3*d + d - 4 = 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**3 + 18*m**2 - 22*m**2 - 11 + 5*m**2 - 4*m + (-2*m**2 + 3*m**2 - 5*m**2)*(2*m - 2*m + 5*m) in the form a*m**2 + o + w*m**3 + i*m and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wuu when three letters picked without replacement from wwwwuwuww?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*p + 25*p + 20*p**3 + (-2*p + p + 3*p)*(2*p**2 + 3*p**2 - 6*p**2) to s*p + g*p**3 + n*p**2 + o and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 - 33 = 18*m. Sort -2, 4, m, 1 in descending order.\nAnswer: m, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3521, 3517, 3511, 3503?\n\"Answer: -y**2 - y + 3523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/8*4)\/((-8)\/10704). Let k = 1318 + c. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -825, -1646, -2467, -3288, -4109?\n\"Answer: -821*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 40020 (base 7) to base 10\nAnswer: 9618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**4\/24 - 5*v**2. Let p(t) = -2*t**2. Calculate p(k(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 - -0.7. Let x = 190\/7 - 27. Let n = -2 - -2.1. What is the biggest value in n, x, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 3*o - 6. Suppose 274 = -4*v - 518. Let y = 201 + v. Let u(c) = c**3 - c + 1. Give y*u(d) + t(d).\nAnswer: 2*d**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 - 4*d - 3. Suppose -2*v + 6 = 2. Let l(o) be the first derivative of -1 - 2\/3*o**3 + 5\/2*o**v + 4*o. Calculate -5*l(p) - 6*x(p).\nAnswer: -2*p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224*0.0010705.\nAnswer: 0.239792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -175.38 to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 - 2*o**2 - 2*o**4 + (3*o + o - 2*o)*((4 + 0 - 5)*(2*o**2 - 2*o**3 - 2*o**2) + 168*o - 214*o**3 - 168*o).\nAnswer: -426*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -5. Let k be (1*0*(-2)\/4)\/(326 + -332). What is the nearest to 1 in k, -33, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3515503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-32) + (-5220)\/(-464))\/((-2)\/8*1).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 861 + -531. Suppose -t = i - 370. What is the least common multiple of i and 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 111, 362, 755, 1290?\n\"Answer: 71*n**2 + 38*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -532*g - 57. Let o(u) = -38*u - 4. Give -4*a(w) + 57*o(w).\nAnswer: -38*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c + c - 2*c + (c - 3*c + c)*(2 - 1 - 3) + 5 - 296*c - 36 + 295*c.\nAnswer: -3*c - 31","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kge when three letters picked without replacement from {w: 1, k: 1, n: 1, x: 1, g: 1, e: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*l**4 + 4*l**4 + 3*l**4 + (-2*l**2 - 11*l + 11*l)*(-4*l**2 + 3*l**2 - 2*l**2) - 2 + l**4 + 2.\nAnswer: 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1985898)\/(-5) + 8\/(-80)*-4. What is n rounded to the nearest 10000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 98*v**2 + 3*v - 520. Let l(t) = -50*t**2 - t + 261. Let n(q) = -2*j(q) - 5*l(q). Differentiate n(z) wrt z.\nAnswer: 108*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6 + 0.7. Suppose 2*i + 0 + 2 = 0, 3*i = 5*o - 23. Let h = -59 - -61. What is the closest to o in b, 2\/21, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-805)\/(-28))\/5 - 2 - 3. Which is smaller: 19\/5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - z - 25. Let a be h(6). Suppose -b + a*r - 10 = -0*r, -r = -b - 2. Solve b = 3*w - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1525 is divided by 377.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2102 - 110*j - 2102)*(3*j**2 - j**2 - j**2).\nAnswer: -110*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) -0.3 (c) 2\/5 (d) -9\/2 (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-6\/7))\/h)**(18\/7) assuming h is positive.\nAnswer: h**(-108\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 - -0.5. Let k = d - 0.3. Let h = -2.4 - -2.2. Do k and h have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1240595*p**2 - 292762*p + 5?\nAnswer: 2481190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.28 + -0.2. Let o = -119.62 + 120. Let k = f - o. Sort -5, k, 0.2 in descending order.\nAnswer: 0.2, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + sqrt(1053) + sqrt(1053) + sqrt(1053))*6 - (sqrt(468)*2)**2*3*5.\nAnswer: -28068 + 162*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -3f2e?\nAnswer: -3f2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 627 and 191140323?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__gcd_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: Is 4831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4 + 1 = 0. Let j be ((-9)\/(-3))\/(6 - 5). Let b be 5\/15 + 8\/j. Sort f, b, 2 in descending order.\nAnswer: b, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 5*v**2 + 3*v + 3. Let x(d) = d**2 - 18*d + 48. Let l be x(15). Determine c(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1145398 divided by -70\nAnswer: 572699\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 4:42 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/3*((-8)\/16 + -1). Suppose 3*i - 41 = -2*y, i - 2*i = 2*y - 51. Calculate the highest common factor of a and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-159)\/(-51) - (-4)\/(-34). Suppose c*g + 16 = i + i, -2*i - 4*g = 12. Solve 2*v + 5*l = 5, 0 = -3*l + i - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 25 (c) 5 (d) 3.8 (e) -2.66 (f) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/4 of a millennium?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 6*g**2 + 9*g - 2. Let r be q(7). What are the prime factors of (2 + 4\/6)*r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -3, 3 in decreasing order.\nAnswer: 3, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140, 264, 388, 512, 636?\nAnswer: 760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 27\/5 of a minute?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15320632.\nAnswer: 2, 103, 18593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4417, 8825, 13227, 17623?\n\"Answer: -3*s**2 + 4417*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 16*z**2 + 19*z + 12. Let a be o(17). Let p = -95\/2 + a. Find the common denominator of p and 81\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 13*u**2 + 27*u + 19. Determine z(-12).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ugwu when four letters picked without replacement from ugugguwgggugwuggugg.\nAnswer: 55\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 67844189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 + 3*o + 2. Let n(k) = 2*k**2 + 2*k + 1. Suppose -2*j + 10 = -3*j. Let w be 4\/j*-10*1. Calculate w*n(m) - 3*q(m).\nAnswer: 2*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1569885092?\nAnswer: 2, 631, 621983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.245 - -0.24500326. What is u rounded to 7 dps?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) - sqrt(147)*3)\/sqrt(7))\/(sqrt(144)\/sqrt(12)) - -2*-2*sqrt(567)*-1*-1.\nAnswer: -37*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19724*a + 13734 wrt a.\nAnswer: 19724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*z**2 + 0*z**2 + 74*z**2)*(-4*z + 5*z + 0*z) to the form d + a*z**3 + u*z**2 + q*z and give a.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13618758 or -3\/4?\nAnswer: -13618758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9381 * 0.057\nAnswer: -534.717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 217*j + 432*j + 2*j**4 - 216*j + 20*j**2 in the form k*j**2 + p*j + w + i*j**4 + q*j**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5697*n - 330. Let r(f) = 11*f - 12. Let k(s) = 4*r(s) - x(s). What is the first derivative of k(t) wrt t?\nAnswer: -5653","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3918 - 3838. Calculate the lowest common multiple of j and 384.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5030509 is divided by 6997?\nAnswer: 6663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -1346\nAnswer: 3\/1346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11476092?\nAnswer: 2, 3, 956341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 > 137004\/377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/128, 0.189, -1, 49?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 4:45 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -455021 (base 6) to base 16\nAnswer: -9715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8101 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*d - 107, -3*s = 19 - 7. Suppose 43719 = -d*x + 367852. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17666 and 876.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 7*u = -4*w - 40, 0 = 3*u - 4*w - 64. Suppose -4*s + 3*i = -18, -2*s - 5*i + 4 = -3*s. What is the tens digit of (-112)\/u*(-63)\/s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < 1.45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8283 is divided by 54?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, f: 1, x: 3, k: 4, p: 2}. What is prob of picking 2 x and 1 f?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u - 31. Let s be g(-8). What is the closest to s in -1, 57, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 9*r - 5. Let p be t(10). Let w be 10*(3 - (-3 + p)). Suppose -24 = -5*b + 3*x, x - w = -b - x. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3679064?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/382, -518, -4 in decreasing order.\nAnswer: 1\/382, -4, -518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 0*d - 2*d + 120 - 126. What is k(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-132)\/(-308) + (-3)\/7. Which is bigger: 1\/66 or z?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = j - 76. List the prime factors of j.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 478.3425565 rounded to the nearest ten?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -228529*h**3 - 123*h**2 + 2*h - 10.\nAnswer: -1371174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**8\/5040 + m**7\/630 - m**6\/180 + m**5\/90 - m**4\/72 + m**3\/3 + m. Let h(j) be the second derivative of o(j). Factor h(y).\nAnswer: -(y - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 765.\nAnswer: -4\/765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-25)\/(-10)*(-24)\/(-10). Let p = -1 + y. Suppose p*d + 37 = a - 27, -3*a = d - 160. Calculate the remainder when a is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 4*p**4 - 6*p**2 - 3. Find the second derivative of y(f) wrt f.\nAnswer: 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) -6 (c) -2\/145\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24865 + -13141. Is 76 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.92 + 9.6. Let s = 150.82 - 137.4. Let i = s + o. What is i rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251191053 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 111316 and 15436?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 477 + -2093. Let x = -22681\/14 - g. What is the common denominator of x and 43\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40573528*t**2 - 10526396.\nAnswer: -81147056*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 167 + 46*h + 2*h**2 - 4*h**2 - 56*h. Determine d(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -15*v + 4. Suppose -2*w + 5 = -3*w. Is k(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -68*j - 830 + j**3 + 71*j + 832 - j**2. Give o(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354481353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 4:03 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k - 1. Suppose -4*g + 5*s = 2, -3 - 3 = -4*g + s. Suppose g*j = -3 - 3. Let n be y(j). Calculate the highest common factor of 35 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167996574653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27\/4 of a day?\nAnswer: 9720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8513 + 26873 = 188694*r - 189102*r for r.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131 + 720 + 62*s - 135 - 454.\nAnswer: 62*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 55070 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - i + 1 = 0, 3*x - 2*i = -0*i + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bytbgtgttbtbt. What is prob of picking 1 b and 1 y?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from 862.\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 3 - (-5 - -9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004422 rounded to 6 decimal places?\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 8*y = 13*y + 13, -4*p = -y - 11 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*-1*1\/1*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -7\/4, 2\/47, -0.3, -2.8?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -431*g + 2059*g + 458793 + 5*g**2 - 56*g + 1148*g - 88873 = 0. Calculate g.\nAnswer: -272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 - -18. Let h be 32\/p*30\/(-12). Let v = 16 - h. Solve v = -4*k - 2*b, -8 = -k + 2*k - b for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 2. Let l be z(2). Suppose 3*i = l*i + 7. Let h(j) = -j**3 - 7*j**2 - 5*j - 3. Is 20 a factor of h(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -254.1 - -265. Let p = 11.48 - o. Which is smaller: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011010010010111100110 - -1100?\nAnswer: 1011010010010111110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + x = 3*a - 16, -5*x - 4*a + 26 = 0. Solve 4*i + 4*j = x*i - 24, -16 = 3*i + 2*j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209132359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**4\/12 - 2*i**3 + 9*i**2 - 11*i. Let p be l(10). Let o be (-8)\/(-3) - (-3)\/p. Which is smaller: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30993?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 1\/3*u**7 + 0*u**6 + 7\/4*u**4 - 18*u + 0*u**3 + 0*u**2 + 0 + 0*u**5. Find the third derivative of i(s) wrt s.\nAnswer: 840*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 - 61.7. Which is the second biggest value? (a) 1\/2 (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(-29\/4))\/r*r**(-12))**(-3\/7))**(7\/4) assuming r is positive.\nAnswer: r**(57\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3*sqrt(75) + sqrt(75))**2.\nAnswer: 120*sqrt(3) + 1209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/122*(3\/1)\/9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2)*o)**(-4)\/(o**(-4\/5)\/(o*o\/o**(7\/3))) assuming o is positive.\nAnswer: o**(67\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -15714 divided by -5238\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 897454 is divided by 2319.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 8) to base 16\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1199061.\nAnswer: 3, 17, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**4 - 2*r**4 + r**4 + (180 - 180 + 12*r)*(r**3 + 8*r**3 - 16*r**3).\nAnswer: -85*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4942593 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2405 divided by -5.\nAnswer: -481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 688235623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 98422082 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 11*c**2 - 9*c + 6. Let x be m(-11). Suppose -4*i = i - x. Suppose -4*b + b + i = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 b when two letters picked without replacement from zbb.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2 = w - 4, -4*p - 2*w + 22 = 0. Is (-2)\/(-6)*p*191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2 = 8. Let h be 6\/k*20\/(-8). Suppose -p + h + 9 = -2*x, 3*p - 4*x = 32. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 406610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 1:09 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 879 and 2042085?\nAnswer: 598330905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 2514?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 2 + 2)*(-7*i**4 - 13*i + 21*i + 3*i**3 - 7*i).\nAnswer: 7*i**5 - 3*i**4 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6637.252ml to litres.\nAnswer: 6.637252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 470 divide 5350480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from ssqghgzhsqhgu?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 5. Let q be 2\/22*(4 + -3). Which is the third biggest value? (a) i (b) 6\/11 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of g**9\/3780 + g**7\/420 - g**4\/3 + 2*g. Let x(a) be the third derivative of s(a). Find the third derivative of x(h) wrt h.\nAnswer: 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5584 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/5, 3, -0.3, 661?\nAnswer: 661","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 17*i**4 + 1089*i**3 - 2241*i**2 + 1105*i. Let l(f) = 15*f**4 + 1090*f**3 - 2235*f**2 + 1105*f. Let q(p) = -6*l(p) + 5*o(p). What is x in q(x) = 0?\nAnswer: -221, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2. Let t be (-1)\/4 - 10\/(-8). Let r(f) = t - 2*f**2 + 0 - 1. Calculate r(n(c)).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 4:11 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) 21 (c) -0.4 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, -0.7, -3143, -2\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 0.1, -8.156, -12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 7901374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7570 is divided by 140.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 smaller than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 47. Let t(h) = 3*h + 23. Give t(o(y)).\nAnswer: -3*y**2 + 164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 205067 + -118707. Round u to the nearest one thousand.\nAnswer: 86000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -1005380 rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 3416?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 5) to base 8\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - o + 1. Suppose 0 = -h + 4*h. Let c = -2 + h. Let s = c - -4. Calculate k(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 63, -1, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*n + 120 = 17*n - 350 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n - 2184 = -1217 - 409 for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1008)*-6)\/(6*-2*(sqrt(12)\/sqrt(3) + sqrt(4))))**2.\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 6 + 0 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f = -28 + 15. Which is greater: f or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**5 + 24*x**4 - 423*x**3 - 528*x**2 + 1644*x + 1728 = 0.\nAnswer: -16, -2, -1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 5:31 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (6*-3*(sqrt(3900) - sqrt(3900)*-1 - sqrt(3900)))\/(sqrt(108) + -2*sqrt(108)*-6 + (sqrt(108) - (sqrt(108)*-2 - sqrt(108))*5)).\nAnswer: -30*sqrt(13)\/29 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 4*n**2 - 2*n - 5. Suppose l + 12 = -l + 2*v, -4*l = -v + 18. Let t be k(l). What is the units digit of (-2)\/(-4)*48\/t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(2\/3))*k**(-16))\/(k\/(k*k**(-2\/11)))**(-2\/145) assuming k is positive.\nAnswer: k**(-79738\/4785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 805169179 to the nearest integer?\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2470667 tonnes to grams.\nAnswer: 247066.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/3 + 4*o**2\/3 + 11*o\/3 + 2.\nAnswer: -(o - 6)*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*o**2 + 7*o**3 - 1 + o - 2594*o**4 + 2587*o**4 + 19*o**2 to the form c*o**3 + l*o**4 + i*o + b + g*o**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-132)\/6*((-2)\/10)\/((-14)\/70)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11387092, -22774185, -34161278, -45548371?\nAnswer: -56935464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.4, 197, -0.3 in descending order.\nAnswer: 197, -0.3, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/130 and -107\/182.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 20. Is 0 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700) + -2 + sqrt(17) + sqrt(68)*-4 + -4 + ((sqrt(272) + -2)**2 - sqrt(272)) + -2.\nAnswer: -17*sqrt(17) + 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 46 divided by 186\nAnswer: 23\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10719 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n - 1. Let h(o) = -535*o**2 - 9*o - 4. Calculate h(b) - 3*j(b).\nAnswer: -535*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvcppchk. Give prob of picking 2 c.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -14 + 4\/3*o**3 + 16*o**2 + 28*o. Let s(j) = 0. What is j?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -21762567?\nAnswer: 2\/21762567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(100\/48*14\/(-70)). Solve 14*y - f = -108 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 12:45 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 g, and 1 d when three letters picked without replacement from {e: 1, g: 3, i: 1, f: 2, d: 3, w: 3}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -1926*l**2 + 1070*l + 535. Let y(k) = -13*k**2 + 2*k + 1. Give -s(w) + 535*y(w).\nAnswer: -5029*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39447626 + 39447626 - 3*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 4*c + 3. Give q(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 4)*(-2 - 2 + 3)*(6*p + 8*p + 2*p) to the form a + w*p and give w.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1035 * -0.2.\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (520\/(-6))\/((-2)\/3) + -4 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiffidiiffiififff. Give prob of picking 1 i and 1 d.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1743396 (base 12) in base 8?\nAnswer: 22277142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from mmfmmmfmmmmmmmmmmfmm.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fuuwq. Give prob of sequence qfu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 549 = -0*j + 3*j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228573*h + 113652*h + h**2 + 114921*h.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18112 + 1486 = 496*r - 9602 - 6016 for r.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(16)\/(sqrt(4)*2)) + (-1 + sqrt(4)\/sqrt(2) + sqrt(2) + -4)**2.\nAnswer: -18*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**5 + 2*o**4 + o**3 - 463*o**2 - 32646*o - 5.\nAnswer: 20*o**3 + 24*o**2 + 6*o - 926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**8\/1680 - b**6\/120 - b**5\/60 - 3*b**3\/2 - 9*b. Let a(w) be the second derivative of f(w). Factor a(s).\nAnswer: s*(s - 2)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9961 is divided by 56?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26216, 52551, 78870, 105173, 131460, 157731?\nAnswer: 183986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 21*h**2 + 48*h + 12 = 0.\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**5\/20 - v**4 + 9*v**3\/2 - v**2 - 48. Factor j(d).\nAnswer: -3*(d - 1)*(d + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1019*d**3 + 0*d**2 + 513*d**3 + 0*d**2.\nAnswer: 1532*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.5 less than -20.3760151498?\nAnswer: -24.8760151498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*d - 111*d - 52 = g + 3*g, -d + 43*g = 23 - 144 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 + -21. What is the second derivative of 37*m - v*m - 25*m**5 + 13*m**5 wrt m?\nAnswer: -240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101210 - -212220?\nAnswer: 111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -52*b**3 - 12*b**2 + 64*b + 49. Is u(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in 2\/7, -0.14, 8?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0756 and 1738.01577.\nAnswer: 1737.94017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qouzaauz. Give prob of sequence uo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27640430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 j, and 2 h when four letters picked without replacement from {j: 1, t: 2, a: 2, h: 5, s: 6}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7746 by -17.\nAnswer: 7746\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**4 + 3756*l**3 + 53088*l**2 + 106704*l - 455760 = 0 for l.\nAnswer: -10, -6, 2, 1266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 446*w**2 + 1. Let d(u) = 2*u**3 + 890*u**2 + 2. Calculate 4*d(n) - 9*k(n).\nAnswer: -n**3 - 454*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16079 is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -10*d**2 - 30*d - 30. Let j(p) = -p - 1. Let i(w) = -w**3 - 4*w**2 - 2*w - 5. Let r be i(-5). What is r*j(z) - h(z)?\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 885 - 909 - 4*r**3 - 12*r**2 - 21*r - r. Does 12 divide a(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (10 - (-25 + 17 - -34)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2*(3 + -2))\/(-13 + 3). Which is the closest to 3\/2? (a) l (b) 3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -195, 34\/25, -0.1, 0 in decreasing order.\nAnswer: 34\/25, 0, -0.1, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2949237281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a year?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002366910784 to four dps.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1\/3)*l)**(2\/87)\/(l\/l**(-3)*l**(4\/5)))**(-4\/5))**(1\/52) assuming l is positive.\nAnswer: l**(6244\/84825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -131*f + 5766. Let i be t(38). What is the greatest common divisor of i and 13199?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**2 - 10151*t - 274806 = 0?\nAnswer: -27, 10178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhh when three letters picked without replacement from {h: 10, y: 2}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**2 - 59046865*z + 236187380 = 0.\nAnswer: 4, 11809369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.7147 to one dp.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9486 - 0.1514. What is the fourth smallest value in 0.2, -1\/3, o, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329*t - 507*t = 448*t + 25733 + 21843 for t.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 190*b**3*d**2*x + 3220*b**3*d*o*x - 9*b**2*d**2*x - 680*b**2*d*x - 2*b**2 - 2*b*o*x - 6*d*o*x wrt b?\nAnswer: 1140*d**2*x + 19320*d*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53 (base 6) to base 10.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -l + 4350 + 685, 0 = -5*l + m + 25079. What are the prime factors of l?\nAnswer: 5, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, m: 4, t: 1}. What is prob of picking 2 g and 1 m?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-21)\/(-4))*9\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-4) - (-30)\/(-8). Let l = -55 + 65. Let y = q + l. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/143 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 330?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 330 and 249337275.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -611 + 339. Let l = 272.0000434 + w. Round l to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**30\/(i*i*i**(2\/15)) assuming i is positive.\nAnswer: i**(418\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 5*h + 4. Let n be l(7). Suppose 4*f + 9 = 3*v, -7*v + 2*v = 4*f - 15. Solve f = 2*m + 4*s, -m - 2*m + 3*s - n = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 361 = 4*q + 3*a, 0 = 5*q - 0*a + 4*a - 452. Let o be 90\/4*q\/33. Suppose 3*s - 84 = o. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-7) - (-868)\/(-4557))*(-103 + 19)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from obqbqtvbb. What is prob of picking 1 t, 2 b, and 1 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2311013 - 3?\nAnswer: 2311010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 2 + 6 + -4. Suppose 6*n - 50 = 16. Suppose -a + 3*r = -n, -5*a - 3*r - 2 = -39. Solve -l*m + 2 = a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3085 is divided by 763.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 8 = 3*g + g, 2*g - 4 = -5*h. What is the third derivative of -60*x**4 + 41*x**2 - 50*x**4 + 107*x**g + 14*x**4 wrt x?\nAnswer: -2304*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 q when two letters picked without replacement from {r: 7, v: 1, c: 1, q: 5, b: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyvpbvvyvyvpvpvpnyvv. What is prob of sequence vp?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2043, -2030, -2013, -1992?\nAnswer: -1967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9 + 39*d - 9*d + 3*d**2 + 13 wrt d?\nAnswer: 6*d + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(2299))*3 + -3)*-1)**2*4.\nAnswer: 792*sqrt(19) + 82800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2217 + 2221. Sort 59, o, -3 in ascending order.\nAnswer: -3, o, 59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10692 and 692?\nAnswer: 7398864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 9*t**2 - 2*t + 4. Let h be n(5). Suppose 4*a - 385 = h. Let w = -54 + a. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a + -143?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4312 + -299?\nAnswer: 4013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 1. Let m(j) = 9*j - 14. Let i(f) = -6*l(f) + m(f). Let d be i(18). Let p = d - 17. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1687 + -1675. Suppose n - 2 - 3 = 0. Let b = n + 29. What is the remainder when b is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3831 - -2 - 40\/(0 + -20)?\nAnswer: 5, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 52721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -340576540*k**3 + 64442*k**2 - 26*k + 1.\nAnswer: -2043459240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 104 - 104. Which is the fourth smallest value? (a) -1 (b) -5 (c) 0.1 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + 1)\/((-3)\/2). Let o be 14\/((-168)\/30) - (-210)\/12. Suppose q*t = -o + 125. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2630358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -7406987?\nAnswer: -8\/7406987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 205*z**6\/8 - 1187*z**4\/4 - z**2 - 2193. Find the second derivative of g(f) wrt f.\nAnswer: 18450*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383\/504 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-40)\/(-18)*3\/(-4).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43642?\nAnswer: 2, 21821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a0 (base 14) to base 4.\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 282?\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 64 = n, 41 = 5*l + n - 25. Let b(w) = w**3 - 14*w**2 + 12*w + 9. Give b(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -m**3 - 1617*m**2 + 2*m + 8685.\nAnswer: -3*m**2 - 3234*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 11.8. Let j = 0.3 + -0.1. Is b at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 1\/150*p**5 + 1\/15*p**4 + 13*p**2 + 1 + 0*p**3 + 0*p. Let s(v) be the second derivative of b(v). Factor s(a).\nAnswer: 2*a*(a + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*l = 35*l - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2013341203 (base 5) to base 6\nAnswer: 222354555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 1925286\/73?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, 295, 0.17?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31.75 + -0.0252.\nAnswer: 31.7248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/6)\/(2\/18). Suppose s + m + b*m = 4, -m + 1 = 2*s. Suppose -2\/5*g**2 + s - 2\/5*g = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7824 = -3*o - 4*m - 7797, o + 4*m - 17 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*d + 83*d - d as s*d + p and give s.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001011001 - -10110111?\nAnswer: -100110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**3 - 351*g**2\/4 - 2937*g\/4 + 189 = 0. What is g?\nAnswer: -7, 1\/4, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(38) + 2*sqrt(38))\/sqrt(2)*3.\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335125381.\nAnswer: 1579, 212239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 f when two letters picked without replacement from xixihxiddfmx?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (-1)\/(0 - -1). Let s be -1*2\/(-2)*0. Suppose 0*t = -4*t - 3*d - 3, t - 3*d = 3. Solve s*p - p - o = t for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i. Let w(f) = -f**2 + 2. Calculate -5*l(z) + w(z).\nAnswer: -z**2 + 5*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6101749 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 greater than -95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*l**2 - 18796*l**3 - 34*l + 16*l**2 + 34*l.\nAnswer: -18796*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 646630590 is divided by 431.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -905, -3619, -8139, -14465?\n\"Answer: -903*r**2 - 5*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 3*f**2 + f. Let z be a(3). Suppose -6 = -4*k + 30. Suppose 15 = d + k. Solve z*n + 21 = d for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*y + d, 2*y + d - 14 = -3*d. Sort -7, 4, y.\nAnswer: -7, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10389 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 3*l - 61. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wqmm when four letters picked without replacement from {p: 2, w: 6, d: 1, o: 1, q: 2, m: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + 25. Does 48 divide (-1)\/o + -267*(-42)\/54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 59*l**2 - 5*l - 5. Let g(k) = 55*k**2 - 2*k - 8. Let f(v) = 1144*v**2 - 40*v - 168. Let a(d) = -3*f(d) + 64*g(d). Give 5*a(q) - 8*i(q).\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2)*n**(-9\/7))**(-4\/3)\/((n\/n**(3\/5))\/n**(-4)*(n*n*n\/n**2)**(-13)) assuming n is positive.\nAnswer: n**(1153\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -b + 3*b - 5, 4*d - 8 = -4*b. What is the second biggest value in -7, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -616201*f**3 - 2*f + 2266291?\nAnswer: -1848603*f**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**3 - 2*l - 1. Suppose -4*n = -8*n + 8. What is the units digit of f(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - p**2 + p + 1. Let j(n) = -4*n**3 + 7*n**2 - 7*n - 6. Let k = -2 - -5. Suppose k*x - 6 + 1 = 4*i, 5*i = -4*x - 14. What is x*j(s) - 6*f(s)?\nAnswer: -2*s**3 - s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 4 + 9)*(-3*n**2 + 3*n**2 - 2*n**2) + 0*n + n**2 + 0*n - 16*n**2 - 1465 - 23*n**2 + 1466 as v + i*n**2 + o*n and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32189440.\nAnswer: 2, 5, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 p when three letters picked without replacement from jpxpxeiqq.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(-77)*37\/111?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271650.\nAnswer: 2, 3, 5, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101152098?\nAnswer: 2, 3, 199, 9413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/5)*m**(-5\/3))\/(m**(-9)*m\/m**(1\/2)) assuming m is positive.\nAnswer: m**(199\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1852 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**3 - 169355*n**2 + 2880570*n + 3049920 = 0.\nAnswer: -33888, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (24 - -8) + -14 + -7 + 13\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126158, -252304, -378450, -504596, -630742, -756888?\nAnswer: -883034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02165594168 rounded to six dps?\nAnswer: -0.021656","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4 = 3*v. Let n(q) = -3*q + q - 2*q + q**2 + 3 + 2*q. What is the units digit of n(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12166.482857 - -0.5\nAnswer: 12166.982857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 + 86 + 225*x - 54*x + 84*x**2 - x**3 + 3*x**3.\nAnswer: -(x - 86)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 657*p + 225 = 702*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 51*w**2 + 51*w - 8. Let x be m(50). Suppose 119 = 4*r - 101. What is the third derivative of r*j**2 + 6*j**4 + 3*j**4 - x*j**2 wrt j?\nAnswer: 216*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-3)\/582*((-5)\/45)\/(4\/(-48)).\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -245*x**2 + 5359*x + 669. Calculate i(22).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1717 or -98449?\nAnswer: -98449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -6*s**2 - s. Let b be r(1). Let v = 20 - b. What is the remainder when v is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(99)\/(4*(sqrt(9) + 1*sqrt(9))))**2 + 6*(-1*sqrt(11) + 3)).\nAnswer: -5815\/64 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 410 + -336. Let b = 71 - l. Let j = 0.9 - 1. What is the nearest to j in b, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -460828 divided by -415.\nAnswer: 460828\/415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 891958?\nAnswer: 2, 89, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -13*u**3 - 21*u**2 - 9. Let t(i) be the second derivative of -3*i**5\/10 - 5*i**4\/6 - 2*i**2 - 317*i. Determine -9*t(f) + 4*y(f).\nAnswer: 2*f**3 + 6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7.03, 0.2, -1, -2\/11, -18, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11407050913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-90)\/5)\/(6\/(-8)). Let j be (4\/5)\/(c\/180). Suppose -j*x + 17 = 5. Solve 0 = -4*d + x*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57 + 57. Suppose 39 = 5*r + u, 0 = -4*r - u - u + 36. Let g be ((-15)\/3)\/(r\/(-14)). Solve b = 4*o - 2 - g for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 452597.94 seconds to hours.\nAnswer: 125.72165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3229 <= 3229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8.1511 and 82.\nAnswer: 73.8489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(1520\/(-165))\/(-8))\/((-6)\/(-33)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 18*m**3 - 2*m**2 - 1082*m - 314. What is the first derivative of i(w) wrt w?\nAnswer: 108*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-33) - (47191\/(-4059) - -11)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 8:48 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-8)*(-3)\/15?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 313 + -193. Suppose y + 181 = 3*w, -a - 6 = -2*w - 2*y. Let g = w - 58. Calculate the remainder when 15 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6560\/(-440))\/82 - ((-383)\/(-11) - -1). Which is greater: 1\/7 or k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 90.4? (a) -1 (b) -3\/2 (c) -1\/3 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1*7\/(-336)*16*207?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 16512?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3128\/204)\/2)\/(((-2)\/(-12))\/(2\/(-4)))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.04 (b) 3 (c) -93 (d) -5 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s**3 + 12*s**3 - 6*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 301*v - 321*v + 21*v - 10 + 8 as y + m*v and give m.\nAnswer: -601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50624072.\nAnswer: 2, 43, 147163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 2*w = -13*z + 1130, 662 = 3*z + 2*w. Is 14 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1, -0.5, -0.06, -437?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*p**2 + 0)*(-59*p**3 + 57*p**3 - 22*p**2 - 23 + 20*p**2).\nAnswer: 4*p**5 + 4*p**4 + 46*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - t**2. Let l(f) = -f + 8. Let p be l(8). Calculate j(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -119.6 (b) 1\/6 (c) 0.4 (d) 2 (e) -5 (f) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*x**4 + 35492*x**3 - 16*x**2 + 47102?\nAnswer: -96*x + 212952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 270 and 240*((-69)\/12 - -7)?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/15 and 143\/138.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 28857 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z**2 - 1271*z - 16723. Calculate h(-304).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -1\/5, -643, -345?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16123655.\nAnswer: 5, 3224731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -141 + 142. Let f(n) = -n**3 + n**2 + n. Let p(r) = r**3 - 2*r**2 - 2*r - 1. What is a*p(o) + 2*f(o)?\nAnswer: -o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -37*z - 35. Let y be l(-1). Suppose 2\/5*r + 0 + 1\/5*r**y = 0. Calculate r.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9*(-4)\/(-84) + 22\/14. Suppose -b - 484 = -2*i, -5*i + u*b + 1098 = -110. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrr. Give prob of picking 2 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 159759, 159759, 159761, 159765, 159771, 159779, 159789?\n\"Answer: z**2 - 3*z + 159761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*r - 227 = 21 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -203 + 215. Let o be ((-22)\/55)\/((-14)\/(-10)). Sort o, y, 0.4.\nAnswer: o, 0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -0.3 (b) -17 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*b**2 + 5*b**2 - 102*b + 103*b - 50*b**3 + 2*b**6 - 29*b**2 wrt b?\nAnswer: 240*b**3 - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271 = -5*k + 7*z - 3*z, 145 = -3*k - 2*z. Let i = 55 + k. Solve -4*p + i = -4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**5\/60 + o**4\/3 - o**3 + 15*o**2 + 3. Suppose -2*t = -5*m + 30, 4*t + 20 = 6*m - m. Determine g(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**3 - 2*l**2 - 6*l + 4. Let d(t) be the second derivative of t**5\/5 - t**4\/4 - 11*t**3\/6 + 7*t**2\/2 + 6*t. Calculate 4*d(b) - 7*h(b).\nAnswer: 2*b**3 + 2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.384145 weeks to nanoseconds.\nAnswer: 3256330896000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-369)\/(-126) + (-3)\/(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = h + 2*d - 23, d - 9 = -2*h. Solve -4*p + 16 = 2*b, h*b + 7 = 2*p - 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**4 + 10 + 1 - j - 13 - 2*j**3 - 2*j**4 + 2*j**2 as b*j + g*j**4 + i + h*j**2 + y*j**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 4 + 2 - (1 + 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = g - q, 2*q = g + 2*g + 16. Let z be 24\/16 - 9\/g. Suppose -2*u - 268 = -z*u. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -437 less than -437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 770541859*l + 19419*l**2 - 770541859*l to the form f*l + s*l**2 + r and give s.\nAnswer: 19419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7260955057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4233 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -635 divided by 5\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -3. Let k be (2 - j - 2)\/(-6). Suppose 0 + k*u + 2*u**3 - 2*u**2 - 2\/3*u**4 = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7107 - -7106.7. What is the nearest to -1\/2 in 3, 1\/3, -28\/13, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (100\/650 - 2922\/(-273) - 11)*-3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4399584 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 3 + 9. Solve 1 - b = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**4*h**(1\/3)*((h*h**(-1\/4)*h)\/h)\/h*h*h**3\/h*h*h)**42 assuming h is positive.\nAnswer: h**(847\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mucmqqpmqmm. Give prob of sequence mqmu.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3204.6233734 - 3330.623373332. Let b = p - -126. What is b rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 l when two letters picked without replacement from {l: 2, x: 2, y: 3, s: 6}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2035, -22737, 4 in decreasing order.\nAnswer: 4, -2035, -22737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + -1 + (-18 - -15). Suppose n = 4*t - 128 - 132. List the prime factors of t.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43230 divided by 262.\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rm when two letters picked without replacement from eennmrurz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**6)**13 assuming f is positive.\nAnswer: f**(-65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 80, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q - 7. Let z be n(6). Calculate the lowest common multiple of 10 and (16 - 2) + z - 1.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -7.3. Let l = -0.52 + 0.12. Let k = b - l. Which is greater: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 965 (base 14) to base 8.\nAnswer: 3475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4875 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43 or 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -231*v + 109 wrt v?\nAnswer: -231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -18, -27, -36, -45, -54?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3390982 and 2622?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/763 equal to 1\/828?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and 0.536.\nAnswer: 0.436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 4:00 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-198)\/30 + (-3)\/(-5). Sort n, -2, 2 in descending order.\nAnswer: 2, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvd when three letters picked without replacement from {d: 1, g: 1, v: 1, a: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1335\/2403 - (-2)\/(-36).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -4.3 (c) -6 (d) 2\/11 (e) 2\/5 (f) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/9 and 133\/144654.\nAnswer: 433962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-456)\/304)\/(39\/4)*13*(-10)\/(-1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10462*q - 192 = 10494*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 370*d + 1106. Let q be k(-3). Solve 3*z + q*x = -19 + 46, 2*z - 20 = -4*x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1749*v + 4*s + 6 = -1756*v, -15 = 5*v + 5*s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*z + 694*z - 7520 + 25845 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 a, and 1 z when four letters picked without replacement from nazdzwawnnzz?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(99)*1)**2.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 357 and 4488?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2202011 - 221?\nAnswer: 2201020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 21. Suppose 4*l + 4*c - 25 = -l, l + b = c. Suppose -5*v + 1 = -6*v. Sort -4, 4, v, l in decreasing order.\nAnswer: 4, l, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 53 (b) 2.1 (c) 0.3 (d) 4 (e) -52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*w = 0, -3*u - 11*w = -12*w + 11. Sort u, 86, 2 in descending order.\nAnswer: 86, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*o - 34*o - 63*o - 79*o + 121*o.\nAnswer: -141*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 40, 62, 82, 100, 116, 130?\n\"Answer: -b**2 + 25*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h**2 + 5*h**2 - h**3 + (-1 + 0 - 1)*(2 - 4 - 2 + (2 + 0 - 1)*(-5 + 3 + 4))*(-4986*h + 85*h**3 + 4986*h + (-4*h - 3*h + 5*h)*(-h**2 + 2*h**2 + h**2)).\nAnswer: 323*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34.1 - 34. Put o, -1\/4, 1\/7, 15 in ascending order.\nAnswer: -1\/4, o, 1\/7, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = o - 12, 4*b - 74*o + 70*o + 24 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/9 - 104*p\/9 - 184\/3.\nAnswer: -2*(p + 6)*(p + 46)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 16*-70.4\nAnswer: -1126.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -561b + -1?\nAnswer: -5620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18164512*v**3 + 36328958*v**3 - 18164478*v**3.\nAnswer: -32*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -0*p + b - 54, -108 = -4*p + b. Let g be (-6)\/27 - (-6)\/p. Which is smaller: g or -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 2*k = 35, -3*s - 4*k - k + 2 = 0 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 66000\/198*993*68. What is h rounded to the nearest one hundred thousand?\nAnswer: 22500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19753? (a) -4 (b) 28 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxm when three letters picked without replacement from {m: 7, p: 1, x: 1, h: 5}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 5 - 2 - 2) + 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 81 + 4*w**3 - 6*w**3 to z*w**2 + i*w**3 + b*w + s and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-194)\/(-36))\/((-7)\/(-21)) and -27\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 3:47 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 925583, 925584, 925585, 925586, 925587, 925588?\n\"Answer: f + 925582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 1621*n**8\/168 - 2783*n**5\/60 + 3182*n**2. What is the third derivative of y(p) wrt p?\nAnswer: 194520*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1689, -6882, -15535, -27648, -43221, -62254, -84747?\n\"Answer: -1730*n**2 - 3*n + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6533 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 s, 1 g, and 1 b when four letters picked without replacement from {b: 1, g: 1, s: 1, w: 2, p: 1, l: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, b: 4, n: 5}. What is prob of picking 2 b?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 22*k + 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -7*d**4\/12 + 3*d**3 + 12*d**2. Is w(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/1372 and -83\/91287?\nAnswer: 2556036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18212947 is divided by 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(2\/5)*k**8)**(2\/27) assuming k is positive.\nAnswer: k**(86\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -6 + 2 + -8?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.1 and 846198886957.\nAnswer: 846198886955.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a decade in months?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 874983 is divided by 2769?\nAnswer: 2748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7*(-21)\/245*(-5)\/9\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k**2 + 7*k + 11. Let v(d) = -7*d**2 - 7*d - 12. Let y(t) = 5*v(t) + 6*x(t). Let r be y(-6). Which is the closest to r? (a) 0.1 (b) -0.4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h = -10*h - 18. Suppose 0 = -13*i + 10*i + h. Which is the closest to 2? (a) 0.3 (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*(v\/(v\/(v\/v**(-31))))\/v*v*v)*(v**(16\/9)*v)\/v)**(-7\/6) assuming v is positive.\nAnswer: v**(1967\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 147*j**4 - 525*j**3 + 264*j**2 - 36*j = 0?\nAnswer: 0, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 3*q - 2*q)*(3 + 2 - 2)*(-11 + 4 + 1)*(4*q**3 - 3*q**3 + q**3).\nAnswer: 144*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 737 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -34*s**2 - 11*s + 5. Let w(k) = 17*k**2 + 6*k - 3. Let c(t) = -3*a(t) - 5*w(t). Let l(y) = -2*y**2. Determine c(l(o)).\nAnswer: 68*o**4 - 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 5. Let w be d(0). Let v = 140 - 71. Suppose -w*l - 2*p = -99, 5*l - v = l - 5*p. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385 = -0*s - 5*s. Let n be 25\/8*s\/(-5). Let o = -48 - n. What is the nearest to 1\/3 in -3, o, -1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*v + 28. Let b(u) = 4*u - 40. Let w be b(8). Let c = v - w. Which is greater: 4 or c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*t - 23 = 0, -3*r - 4*t + 10 = -2*t. Suppose 28 - 4 = -3*k. Let p be 0\/((-9)\/(36\/k)). Solve -i - r*i = p for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 + 0*y + 0*y)*(2*y**2 - 3 + 3) - 6*y**4 + 4*y**4 + 0*y**4 - 43 + 43 + y**4.\nAnswer: 3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(-4) + 3\/(-12). Let q be ((-28)\/(-21) + -2)\/(6\/(-27)). Suppose 20 = q*b + g*b. What is the highest common factor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46957 - 27745. Factor -4*j**4 + k*j**5 - 19211*j**5 + 6*j**3 - j**4.\nAnswer: j**3*(j - 3)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.258141 + -19.\nAnswer: -20.258141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364453 is divided by 394.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 18 = -u - 18, 0 = 3*u - 12. Calculate the lowest common multiple of 11 and s.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -436, -434, -432, -430, -428, -426?\n\"Answer: 2*s - 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50496 and 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 3*w + 6*w + 2 - 2 + 2*w + (-2 + 5 - 1)*(4*w - 3*w + w) + 4*w - 5*w + 0*w)*(31*w - 2*w + 13*w).\nAnswer: 336*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*f - 24 = 0, 13*f - 15 = 5*y + 18*f. Find m, given that -1\/4*m**3 + 13\/4*m + 7\/4 + 5\/4*m**y = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42192*w**4 + 528*w**3 + 270319689*w**2.\nAnswer: -1012608*w + 3168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1794 = -332*l - 727*l + 162*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5379, -7259, -9139, -11019, -12899?\nAnswer: -14779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 z, and 1 s when four letters picked without replacement from piissuusuzuzzzsi?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/2)\/(22\/(-44)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 495031357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1368027, -1368022, -1368017, -1368012, -1368007?\nAnswer: -1368002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7157 and 1207?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 4*c**2 + 3*c. Let b be h(-3). Suppose 40 = 2*o + f, 0*o - 2*o - 2*f + 38 = b. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 - 3)*(6*t + t + t) - 550 + 1107 - 1593*t - 557 as b + j*t and give j.\nAnswer: -1601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6890285 a multiple of 331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k + 744 = 504. Solve -s - k = -6*s - 4*p, 5*p = 4*s + 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5076 is divided by 197?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 27*t**2 + 1424*t - 2. Let z(c) = c**2. Determine b(z(w)).\nAnswer: 27*w**4 + 1424*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, o: 6, s: 3}. What is prob of sequence ss?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28681 + 28684. Let o = 84 + -416\/5. What is the fourth smallest value in o, p, 1\/4, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 3*r + 105, 4*r - 46675*u + 76 = -46671*u for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-9)\/(81\/(-42)))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -113 - -295. Let h be (6*-1)\/(-4*1\/v). Suppose -39*k = -36*k - h. Is k a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52921?\nAnswer: 11, 17, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18401 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -203167 (base 8) to base 14\nAnswer: -1a6b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, -43, -38866 in descending order.\nAnswer: -0.6, -43, -38866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 8:01 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/3 + 38*z\/3.\nAnswer: z*(z + 38)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(832) - (-4*sqrt(832))**2) + 0 + (sqrt(832) + sqrt(832) + sqrt(832)*1)**2.\nAnswer: -5824 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -9*g - 7. Let i(v) = -4*v - 4. Let j(l) = 5*i(l) - 3*w(l). Let s be 1*(-4)\/((-16)\/(-4)). Calculate j(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4766700820 to the nearest integer?\nAnswer: 1683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - c - 2*c - 12 = 0, -2*b - 22*c + 253 = 341 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -12*r**2 + 564*r - 20164. Let g(t) = -14*t**2 + 563*t - 20164. Let x(f) = -5*d(f) + 4*g(f). Factor x(n).\nAnswer: 4*(n - 71)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1728143809?\nAnswer: 7, 41, 193, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1682.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**3 - 38*n**2 + 42*n + 23. Let b(l) = -2*l + 99. Let h be b(40). Is v(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 3\/4 (b) -3.3 (c) -2 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 6 = 0, -h - 4*v = -2 - 13. Suppose 2861 + 1027 = h*c. Calculate the remainder when c is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 899304 is divided by 1886.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4 + 72*m**3 - 21*m**2 - 5472*m - 5376.\nAnswer: -3*(m - 16)**2*(m + 1)*(m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 0.2141\nAnswer: 0.02141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4b - a?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4960 is divided by 1573.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*t + 163898 = 50*t + 5*z, -491789 = -9*t + 4*z. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 361*v**3*w**3 - 6*v**3*w**2 - 6*v*w**2 wrt w.\nAnswer: 2166*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**3 - 2*z**2 + 3*z + 5. Let m(i) = -4*i**3 - 6*i**2 + 8*i + 14. Calculate -8*h(j) + 3*m(j).\nAnswer: 4*j**3 - 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -15. Suppose 0 = c*v - 2*p - 111 - 79, -10 = 2*p. Solve 2*a - 2 = -2*i, -2*a = -4*i + 2*a - v for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 2*c + 5*c**2)*(2 - 2 - 2*c)*(453 + 350 - 238)*(-2*c + 0*c + 3*c).\nAnswer: -5650*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2998063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -7. Suppose -3 + h = -v. Which is the closest to -1\/2? (a) v (b) 0.1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 35 = 13. Let a = -16 - v. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 505 * 0.042741.\nAnswer: 21.584205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 61\/4 of a kilogram?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 3, -27\/4, 2\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48866680.\nAnswer: 2, 5, 1221667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -24*q - 268 - 310 - q**2 + 474. Let a be z(-6). Solve 36 = a*c + 4*g, -2*g = -5*c - 3*g + 29 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*y + 12 = 0. Suppose 58 = y*z - 5*r, 3*z + 0*z = 2*r + 40. Solve z = -2*g - 2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -24. Let a = 2 + v. Let s = 10 + a. Is -1\/5 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/1 + (-6 - -6). Suppose -h + 4*l + 25 = 2*l, p*h + 4*l = 40. Calculate the highest common divisor of h and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 256\/7, 11, -0.1 in descending order.\nAnswer: 256\/7, 11, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(121) - sqrt(121))\/sqrt(11) + 2)**2.\nAnswer: 8*sqrt(11) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 392 = -5*r - 105, 2*r + 4*y - 134 = 0. Let w = 77 - r. Suppose 6*i - 2*i = 20. What is the remainder when w is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 233284 and 7368.361.\nAnswer: 240652.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1102902*k**3 + 1831673*k wrt k.\nAnswer: -6617412*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -0*p - 3*p - 17, -2*h + p = -1. Let f be (h\/(-10))\/((-1)\/(-5)). Which is the closest to -0.1? (a) 3 (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 142 - 212. List the prime factors of (-14)\/2*1370\/s.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**2. Let k(q) = 5*q**2. Give k(h(o)).\nAnswer: 45*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/(-6)*(-1 + 4). Let v = -9 + t. Suppose v + 3 = 4*g. Solve 2*n = g + 7 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 0*o + 2*o + 0*o)*(43*o - 43*o + o**4).\nAnswer: 2*o**5 - 8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48578374?\nAnswer: 2, 13, 101, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 71*w + 99*w**2 + 3*w**3 + 1 - 3*w**3 - 72*w - 2*w**3 - 2 as g + h*w + z*w**2 + q*w**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -3919\/516?\nAnswer: -3919\/516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + i + 1. Let b = 143 - 230. Let h be b\/27 - (-6)\/27. Let d be -4 - h - (-3 - -3). Let n(z) = -z**2 - 3. What is d*n(o) - 3*y(o)?\nAnswer: -2*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-16)*(-2)\/2)\/(19\/(25688\/117)).\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -540 + -835?\nAnswer: -1375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 10*g - 15. Let v be c(8). Let t = v + 4. Suppose -2*w + 17 = -w + 5*a, -t*w - a = -13. Solve q = -3*x - 19, -2*x - 2*x - 12 = -w*q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3424379?\nAnswer: 7, 489197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/103, 0.3, -114, -320?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 82 - 90 - 86\/(-11). Let g = -0.7 - 2.3. What is the second biggest value in o, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*n = -92*n - 370*n - 163*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 455594*m**2*r**3*w - 2*m**2*w - 5*m*r**2*w - 2*m*r - 60*r**3*w + 178*r**3 + 2*r**2*w + w wrt m?\nAnswer: 911188*r**3*w - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 l when three letters picked without replacement from {l: 1, k: 2, v: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66867863.\nAnswer: 113, 591751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 1 - -8) + 4 + -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 22*c - 19*c + 19, 23 = 4*b - 3*c for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -704 divided by 176?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**41\/c*c**(3\/2) assuming c is positive.\nAnswer: c**(83\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -47486358 divided by -279?\nAnswer: 170202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -8*i - 31. Calculate the remainder when 77 is divided by c(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -13*t**2 - 73*t + 116. Calculate q(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 11*s - 6532 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 23*n**2 - 38*n - 57. Let f be t(-23). Let r(o) = -114*o. Let w be r(1). Let d = f + w. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 335*c**4 + 2*c**3 + 103*c**2 wrt c?\nAnswer: 8040*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**0)**(30\/11)\/((i\/i**4)\/(i\/i**(-5))) assuming i is positive.\nAnswer: i**(129\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 17*r - 31199 = 22*r, -7800 = -b + r. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 5*y - 4. Let j be x(3). Solve 17 - j = 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16564 + -12562. Does 174 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4406505 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + (1 - (-3 + 5)). Let q = -5 - w. Solve -5*j + 2*j - 6 = q for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1480242911?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -11\/2*y**2 + 5*y + 0 - 5\/12*y**4 + 0*y**3. What is the first derivative of t(n) wrt n?\nAnswer: -10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008739 rounded to 5 decimal places?\nAnswer: -0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + f = -f + 2, -8 = -2*f. Let h = 1 + t. What is the lowest common multiple of (10\/h - -3) + 9 and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8017 + 8025. Let n(c) = c**3 - 4*c**2 + 1. Let h be n(4). Let j(z) = b*z + h - 6*z - 6*z. Determine j(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -309*y**4 + 7*y**2 - 557*y + 3 wrt y?\nAnswer: -3708*y**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.162108 months to years.\nAnswer: 2.263509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 1)\/(3\/(-3)). Let t(o) be the first derivative of -o**3\/3 - o**2\/2 + o - 119. Determine t(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9243627, 9243628, 9243629, 9243630?\nAnswer: 9243631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -5\/1918?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 11*w**2 + w + 13. Calculate s(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 199\/490?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.41 (b) 0.389 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/6 + (-30)\/9. Let k(n) = n**3 - n**2 + n + 1. Let j(c) = -4*c**3 + c**2 - 6*c. Let p(t) = j(t) + 3*k(t). List the prime factors of p(x).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11*48\/80)\/(10*(-16)\/800)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, t: 1, g: 2}. Give prob of sequence bb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s**3 - 7*s**2 + 2*s - 158. Let q(n) = 2*n**3 - 3*n**2 + n - 79. Let o(f) = 3*h(f) - 7*q(f). Suppose 3*v = 0, -g + 5*g = -2*v. Is o(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -4 + 185*v**2 - 95*v**2 + 8*v - 6 + 3*v - 91*v**2 = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**5 + 6*w**4 + 26*w**3 + 12*w**2 + 3*w. Let h = 246 - 243. Let d(p) = p**4 - 2*p**3 - p. Let l(f) = h*d(f) + n(f). Factor l(i).\nAnswer: i**2*(i + 1)*(i + 2)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75\/(-10)*(5 - 39)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 21 = 2*f, 5*f + 4*x - 24 = 11. Suppose 0 = -4*p + 5*r - 9, -f*p - 2*p + 30 = 2*r. Suppose 9 - p = -5*u. Put 2, u, 4 in descending order.\nAnswer: 4, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - (-5635)\/(-345)) + (-1)\/((-4)\/64)?\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (1 - (-6 - -2)) + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 7735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -166241 + 166171 + 0*p + 7*p to the form i*p + a and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2 - 7. Let n be (-28)\/12 + (-1)\/(-3). Let x(w) = -w**3 + 16*w**2 - 31*w - 209. Let g be x(12). Put n, f, g, -4 in ascending order.\nAnswer: g, -4, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*s = 19, 0 = s - 4 + 2. Suppose -o - 2*o + 588 = -q*j, o - j - 194 = 0. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.6 times 20\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -138900 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 151785 divided by -3\nAnswer: -50595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 8 + 16 = 0. Solve -1 = -3*i + 2*x + 8, -t*x - 1 = 5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7408 to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1279735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*v - 12*v - 20. What is the second smallest value in -0.01, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -19 + 1572 + -1611?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -433.8874013 rounded to two dps?\nAnswer: -433.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -2*s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 6 = 4*u. Let f(s) = -7*s**3 + s**2. Let c be f(u). Suppose -2 = 2*d - c. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxqxxxqqxxxxqxx. What is prob of sequence xxx?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 196753*g. Let k(n) = -2*n**2. Calculate k(l(w)).\nAnswer: -77423486018*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 44*c**2 - 60*c - 69. Let i(t) = -10*t**2 + 14*t + 17. Calculate 9*i(m) + 2*k(m).\nAnswer: -2*m**2 + 6*m + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, g: 3, w: 4}. Give prob of picking 1 g and 1 h.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**4 + 2*n**4 + 4*n**4 - 2*n**4 + n**3 - n**3 + (23 - 23 + 13*n**2)*(n**2 - n**2 + n**2).\nAnswer: 15*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 47807 - 46950 = -37*f. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, m: 1, n: 2, a: 2}. What is prob of sequence aamn?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -25, -32\/7, -5, -33, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrbbbgdddrrdrddddd. What is prob of picking 1 b, 1 g, and 1 r?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.7 + -0.2. Let l = 131\/2 + -66. Put 0, a, l in increasing order.\nAnswer: l, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -613*i**3 - 19*i**4 - 7*i**4 - 54*i + 615*i**3 wrt i.\nAnswer: -312*i**2 + 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, w: 2, z: 3, p: 9, g: 1}. Give prob of sequence ooo.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**1)\/p)**(-2\/41)*(p**1)**(-21\/2) assuming p is positive.\nAnswer: p**(-865\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-15)*(-12)\/(-36)*2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*v = -1, -2*v = -5*k - 2. Suppose k = -2*o + 5*w + 31, 2*o = o + 4*w + 23. Determine m, given that -1\/4*m**o + 0*m + 1\/4*m**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q - 4*q + 2*q.\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -8*i + i**2 - 102 - 24 + 12 + 43*i = 0.\nAnswer: -38, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7556524 - 90818545\/12. Let q = o + 11699. Calculate the common denominator of -125\/36 and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, m: 3, b: 5, c: 1, w: 3, h: 2}. What is prob of picking 2 w, 1 e, and 1 h?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2194427 - 2194427 + 1285*m**3.\nAnswer: 1285*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 790*d + 132*d + 335*d - 27654 = 0 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-2 - -1*3). Let f(r) = -2*r + 2. Let h be f(c). Let t be 5999999 - h*2\/4. What is t rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1356 and 20.\nAnswer: 6780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 513a60 (base 11) to base 6.\nAnswer: 25404113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z**2 + 11*z - 5. Let j(m) = -4*m**2 + 16*m - 7. Give -7*g(c) + 5*j(c).\nAnswer: c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 165*o**3 + 73390*o**2 + 841765*o - 181860 = 0.\nAnswer: -433, -12, 7\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 758.2017 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 154003\nAnswer: -154004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 376 times -5\nAnswer: -1880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.9 and -2.6.\nAnswer: 4.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 4:52 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -6. Suppose 0 = 5*m - 8*m + y + 68, 0 = -5*m + p*y + 118. Solve -m + 2 = -5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + q - 10 + 2*q - 3*q.\nAnswer: q - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zww when three letters picked without replacement from {w: 5, z: 13}?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -379, -440, -503, -568, -635?\nAnswer: -704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12704 is divided by 4194.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 492*g**2. Let r(u) = 2*u**2. Determine r(h(z)).\nAnswer: 484128*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -583*n + 586*n = 60. Solve n*v - 16*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/9, -3, 0.4, 1.\nAnswer: -3, -14\/9, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2. Let n(w) = 3*w**2 + 74*w. Calculate n(v(m)).\nAnswer: 12*m**4 - 148*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nu when two letters picked without replacement from nmpmunmcnnn.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -3*k**2 + 3*k - 5445. Let b(w) = -5*w + 2. Let i = 15 - 21. Give i*b(p) + 4*x(p).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49.1 - -49. Let a be -4*(-2)\/6*(-252)\/(-1260). What is the third smallest value in a, 2\/7, f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.72276296 to three decimal places.\nAnswer: 0.723","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 859703*t - 403027*t + 694248*t.\nAnswer: 1150924*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 divided by 2?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15466912 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0129281155 rounded to three dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 + 53. Let j(d) be the first derivative of d**2 + 45. Calculate j(x(q)).\nAnswer: 4*q**2 + 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p. Let z(w) = 10*w**2 - 253 - 117*w**2 + 527 - 274. Determine j(z(x)).\nAnswer: -428*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 3:46 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -212, -425, -640, -857, -1076, -1297, -1520?\n\"Answer: -b**2 - 210*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/211 and 20\/11?\nAnswer: 2321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 142658017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2411398 * -0.4.\nAnswer: 0.09645592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnv. Give prob of sequence nv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 25 = z, -26173*r - 30 = -26176*r - 3*z for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300)*1)**2 - (-1 + 1*sqrt(13))**2 - ((sqrt(13) + 0 + 5)**2 + -3).\nAnswer: -8*sqrt(13) + 1251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -149*p**4 - 5*p**2\/2 + 50*p + 251. Let t be h(10). Round t to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/13 in -0.9, 52722, 1\/2, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.49100008825 - -1.491. What is i rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mtbe when four letters picked without replacement from nmebentnbn.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 105491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-10))\/((-153)\/(-85))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000050211 to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v + 64. Let h be k(16). Suppose 4*q - 4*n - 80 - 28 = h, 5*n + 20 = 0. What is the remainder when q is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-4)*48\/54*-3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4753, 4760, 4779, 4816, 4877, 4968, 5095?\nAnswer: 5264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*y - 108 = -s, 235969*y = 4*s + 235972*y - 44 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**2 + 0*w**2 + 2*w**2)*(-131*w**3 + 5*w**3 + 2*w**3).\nAnswer: 372*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + -20 - -24) + 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1230 and 943?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 45556 times 1734?\nAnswer: 78994104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4907*d - 2. Let c(g) = 109146383*g + 44487. Let i(l) = 2*c(l) + 44487*p(l). Let t(q) = -2*q. Calculate t(i(r)).\nAnswer: 9886*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 27*q + 107. What is b(-30)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20011 - -100?\nAnswer: 20111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92646 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10.61? (a) -3 (b) 2 (c) -0.2 (d) -1\/2 (e) 2\/13 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*y + 14 = 0. Let b(m) = 10*m - 83. What is the least common multiple of b(9) and (-2)\/y + 68\/7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 3:02 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 40 = 3*l. Suppose -j + l = 4*j. Find the second derivative of -u**3 + 3*u**3 - 8*u + j*u wrt u.\nAnswer: 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56 - -66. Solve -b = -2*s - 0*j - 2*j, 5*s - 2*j - 25 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -10488*t. Let l(b) = -711*b. What is s(l(r))?\nAnswer: 7456968*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1183 = -7*v + 63. Suppose -210 = -180*b + v*b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -241\/9. What is the nearest to 1\/2 in b, -4\/5, -2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52512 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1147?\nAnswer: 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.67139705 take away -16.439?\nAnswer: 14.76760295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222*w - 223*w + 48 = 2*g, 4*g - 2*w = 96. Solve 0 = -34*s - g*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -719041759*w**2 - 540537523.\nAnswer: -1438083518*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.77 + 2.13. Let l = -6 - -4. Let x = r + l. Round x to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71433577.\nAnswer: 8111, 8807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 240*d - 231*d + 54 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 958066?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -431*n**2 - 1224*n**2 + 366*n**2.\nAnswer: -1289*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -416*c - 1070*c + 93 - 384*c + 74 + 113*c wrt c?\nAnswer: -1757","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 + 2*v + 2. Let t be a(4). Calculate the remainder when 62 is divided by 0 - (-1 - t)*-1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.199707873 rounded to four dps?\nAnswer: -0.1997","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 327096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -28, -11, -84 in ascending order.\nAnswer: -84, -28, -11, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -1846*s - 5. Calculate b(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3510*r - 7711 with respect to r.\nAnswer: -3510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v + 3*v + v**2 + 6 - 2*v - 12*v to x*v + o*v**2 + l and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 7 + 7 - 4 + 5*c. Let z be (8\/12)\/((-18)\/(-81)). Does 19 divide p(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, c: 7, k: 8}. What is prob of picking 1 k and 1 a?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*13908.\nAnswer: 319884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -186 - -86. Let a be (-65)\/y + (-2)\/5. Solve a - 1\/4*z - 1\/4*z**2 + 1\/4*z**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/2048 and -125\/154368.\nAnswer: 1234944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*-1*-1 + -2. Let k = 7 - c. Calculate the remainder when k is divided by (-3)\/12 - (-9)\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 36\/4 + (-35)\/7. Suppose 36 = 2*l - 5*h, 20 = l - t*h + h. Let x(m) = m**2 - 11*m + 10. What is x(l)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/24*4\/(-6)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -14.1, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -8*a. Let g(n) = 5*n + 698. Calculate g(b(h)).\nAnswer: -40*h + 698","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*1\/(-1) - (-9 - 63). What are the prime factors of ((-4)\/12*c)\/(2\/(-96))?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3 = -13. Suppose 2*k + 4 = 0, -h = -0*h + c*k - 59. Let j = h - 67. What is the smallest common multiple of 4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 11*i**4\/12 - 22*i**2. Determine r(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -11 + 0 - (-20 - -23). Let g be (-2)\/(-3)*(-21)\/b. Which is smaller: g or -4\/31?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220) + (-2*sqrt(220) - sqrt(220)))\/(sqrt(5) - sqrt(5)*-3*-4).\nAnswer: 4*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 14 = 2*f, 5*b - 2*f - 8 = 3*b. Find the third derivative of 54*l**3 + 34*l**b + 20 - 10 - 10 wrt l.\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 10 (b) -0.203 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*w - 57*w + 24*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211045 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2790220967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2020*v**2 + 111*v - 111*v.\nAnswer: 2020*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (21 + -2) - (-8 - ((-4 - 5) + -81))?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3720 divided by 5?\nAnswer: -744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -3\/2, 0.3, -1575\/43 in decreasing order.\nAnswer: 4, 2, 0.3, -3\/2, -1575\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**2*r*u**4 - 50*m**2*r*u**2 + 21*m**2*u**3 - 2*m*r*u**2 + 12*m*r + 36*u**4 wrt u?\nAnswer: 24*m**2*r*u + 126*m**2 + 864*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ix when two letters picked without replacement from xiwwwxw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2851025.\nAnswer: 5, 114041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 9*y + 4. Let z be (-890)\/(-267)*(-3)\/(-5). Let o(v) = 9*v + 3. Give z*r(c) - 3*o(c).\nAnswer: -9*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 6 = 26. What is the greatest common divisor of 128 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6 - 6 - 9*n. Let s(p) be the first derivative of 0*p - 27 + 1\/2*p**2. Give i(s(r)).\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 6:13 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 2 d, and 1 a when four letters picked without replacement from {y: 2, d: 4, m: 4, j: 1, e: 6, a: 1}.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 2:43 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 311016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 - 73 = -7*v. Let z = -2.9 + 3. Which is the nearest to z? (a) -0.6 (b) v (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1655.51 - -0.173.\nAnswer: 1655.683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5 + (-6*(-2 + sqrt(2299)) + 2)**2 + 2)*-5.\nAnswer: -414775 + 9240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -11773*a + 2225100. Calculate i(189).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 0, n + 2*v - 625 = -4*n. What is the highest common divisor of 50 and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 23) + (-108 - -210) - 8\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-2 - (-8 + 4 - -4))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + (-18154)\/(-319) - 28?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, -9 in ascending order.\nAnswer: -9, -7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16617860 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/176 - 1200\/(-128)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-3)\/15*-5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -3*f + 6*f. What is the remainder when 28 is divided by (-3)\/f + 41\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 343452427 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: b\"What is the tth term of 4610, 9216, 13822, 18428, 23034, 27640?\n\"Answer: 4606*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -195 - -201. Sort 4, a, -2\/7, 0.3 in ascending order.\nAnswer: -2\/7, 0.3, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c - 2*c - 5*c**2)*(0*c + c + 0*c) + 117*c**3 + 125*c**3 - 24*c**3 to the form n*c**3 + v + o*c**2 + r*c and give n.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6574 (base 11) in base 6?\nAnswer: 104052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 5*x, 0 = 4*r - x + 64. Let l be (-1)\/(1 + 6\/(-9)). Let t be (l\/4)\/(((-28)\/r)\/(-7)). Solve -t*f - 2*f - 30 = -2*y, -5*y + 17 = 2*f for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -297*n - 1206. Give m(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 864100 to the nearest ten thousand.\nAnswer: 860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10071905 + -4.\nAnswer: 10071901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8571 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -27\/5*l**2 + 10*l + 0 + 1\/5*l**3 = 0.\nAnswer: 0, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 5*k**2 + 5*k - 2. Let i be j(4). Suppose 3*p = -0*p - 6. Let z = p + i. Solve -3*l + 4*l - 1 = z for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5436*d*m**2 + 223*d*u**3 - d + 19084*m**2*u**4 + 2*m**2*u - 2*m**2 + 226*m*u + m + 7*u wrt u?\nAnswer: 1338*d*u + 229008*m**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 17*n**2 + 13*n - 9. Let b be q(-18). Calculate the highest common divisor of 54 and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 17 - 30 - 2*y**3)*(y**2 - y**2 + 2*y**2).\nAnswer: -4*y**5 + 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*f - 387 = -103*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25 + 30?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 244652 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*c**2 - 28*c + 28*c)*(158*c**2 + 118*c**2 - 365*c**2) - 27*c**4 + 62*c**2 - 62*c**2.\nAnswer: 596*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = 2*r. Suppose -4*k = -0*k - 44. What are the prime factors of 3*(-1)\/r*k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 789.12 + -789. Sort 3\/8, 0.01, q.\nAnswer: 0.01, q, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -167, -170, -173, -176, -179?\n\"Answer: -3*n - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**2\/3 + 22*i\/3 - 8 = 0?\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -19, 1\/5, 3\/2?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mb when two letters picked without replacement from tbvvvvtm?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3371 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*c - 3*c + c to the form u*c + w and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7962 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 + 0)*3\/(-2). Let q be (0\/(-3))\/(z\/3). Solve 0 = -r - 3*m + 2, -r - m = -q*m for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51 + -87 - -63) + -83.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2865 times -0.1513?\nAnswer: -433.4745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-nine quarters of a hour?\nAnswer: 44100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -t**2\/2 + 17. Let o(d) = 2*d. Determine o(b(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/1450 and -11\/583200.\nAnswer: 16912800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1395, 2804, 4229, 5676, 7151, 8660, 10209?\n\"Answer: w**3 + 2*w**2 + 1396*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -945*z**3 + 5*z**2 - 12*z wrt z?\nAnswer: -5670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 4667195984137.\nAnswer: 4667195984132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 - -49. What is the lowest common multiple of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 4 (c) -0.3 (d) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4*k - 24 = 0. Let d(w) = w - 5. Determine d(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3598a (base 12) to base 4\nAnswer: -101220322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -870021 by 1.\nAnswer: -870021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6706 is divided by 836?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 2*x - 4. Let u be y(4). Suppose u*q + 0*q = -12. Let j(a) be the second derivative of -a**4\/6 - 2*a**3\/3 - 4*a + 9. Determine j(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9818, -9813, -9814, -9827, -9858, -9913?\n\"Answer: -c**3 + 3*c**2 + 3*c - 9823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5*p**2 + 4*p - 7. Suppose -303*q + 309*q = -6. Let a(h) = -h**2 + 1. What is q*o(r) - 6*a(r)?\nAnswer: r**2 - 4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 29\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 183329 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 550 a factor of 90196150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*m - 289 = 103 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 836 - 826.75. What is g rounded to 0 dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = m + 2*m + 2*z, -3*z = 4*m - 5. Suppose -m*r + 13*r = 0. Which is bigger: r or -10\/61?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 602 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-n - 4*n + 3*n)*(3*n - 5*n - n) - 54*n**2 + 108*n**2 - 17*n**2)*(-6*n - 20 + 20 - 2*n) in the form q*n**2 + b*n + s*n**3 + c and give s.\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 4*s + 2. Let r(o) = -4*o**2 + 21*o - 11. Let l = -82 - -71. What is l*f(w) - 2*r(w)?\nAnswer: -3*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20 + -16?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(1 + 5 + -1). Let s(c) = 4*c**2 - 12*c. Let y(n) = n**2 - n + 1. Let t(h) = s(h) - 5*y(h). Let f be t(-6). Which is smaller: j or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52 + -34. Suppose -g + x = 5*k - 27, -4*g + 90 = 2*k. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7953393l?\nAnswer: 795.3393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -16*m. Let f(l) = 168 - 4*l + 2*l - 178. What is f(h(y))?\nAnswer: 32*y - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 8*b - 9. Let i(f) = f**2 - 14*f + 25. Let g(x) = 3*x + 2. Let o be g(3). Let h be i(o). Calculate a(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42226 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h - 1. Let r(z) = -2 + 2 + 0 + 1 + z. Determine -p(d) - 2*r(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*d**4 - 22*d**3 + 459574*d**2 + 1667431*d - 156?\nAnswer: -72*d**2 - 132*d + 919148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - j - j - 722 = 0, -j = 2*d - 728. Let b be (2\/(-3))\/((-2)\/d). Suppose 31 + 2 = 3*c. What is the highest common factor of b and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -1. Let d(q) be the third derivative of 0*q + 0 + 1\/6*q**4 - 1\/120*q**6 - 1\/2*q**c + q**2 - 1\/20*q**5. Calculate d(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 7, -2, 0.\nAnswer: -2, 0, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 x, and 1 y when three letters picked without replacement from {b: 1, h: 6, x: 1, y: 2, i: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 746803, 746855, 746907, 746959, 747011?\n\"Answer: 52*a + 746751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -70 + 123. Is b a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -15*h**3 - 2*h - 1. Let y be n(-1). Let r be (-4)\/(y\/(-6))*2. Suppose 7*k - r*k = 40. What is the greatest common factor of 30 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 - n**3 - 252*n**2 + 252*n**2.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 2936 (c) -1284\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -26*t + 5*t + 7*t + 13*t. Let s(u) = 35*u - 2. What is q(s(j))?\nAnswer: -35*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3069000938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -1428*x + 1444*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1307 - -1310. Let k(n) = -12*n**2 - n - 3. Let x(m) = -35*m**2 - 3*m - 8. Calculate j*x(c) - 8*k(c).\nAnswer: -9*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.254554276 rounded to 4 dps?\nAnswer: 0.2546","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 5 + 45 + -39.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16180 divided by -4045.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of x**3\/3 + 25*x**2\/2 - 11*x. Let i be l(-11). Solve 0 = i*r - 9 - 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 + x - 2. Let h be d(2). Let p be 1 + -4*(-2)\/h. Suppose -5*o = -3*j - 68, -1 = p*j - j. What is the remainder when 24 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -57*s**2 - 3*s. Let z(m) = -146432*m. Calculate z(u(b)).\nAnswer: 8346624*b**2 + 439296*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = -92*i + 317 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 a factor of 589919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - 2*u + 25, -5*a - 147*u + 65 = -143*u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -531175 - -1686595. Round p to the nearest 10000.\nAnswer: 1160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20 - -13626231?\nAnswer: 13626251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 101493414?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*o + 1193 = 2273 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 8:52 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 322626 (base 7) in base 8?\nAnswer: 155637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 21*a**2 - 96*a - 175. Determine f(11).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 118845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38551 is divided by 358.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (3\/30)\/((-5)\/((-50)\/(-4)))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -4*y - 3*o + 3 - 2, 5*y - 8*y = 110*o - 1103 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + 5*p**2 - 4*p**2)*((-26*p**3 - 7*p**3 + 50*p**3)*(2 - 3 + 3) + 2*p**3 - 3*p**3 + 0*p**3).\nAnswer: -66*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(12\/7)\/k*k**(-9)*(k*k*k**(1\/4))\/((k\/(k\/k**(-5\/6)))\/k) assuming k is positive.\nAnswer: k**(-353\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1172\/137 or -9?\nAnswer: -1172\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-12) + 19\/(-4). Suppose w - 4*y + 11 = -2*y, -4*w = y + 35. Let z = s - w. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 2*y + 24 = 0. Let r = 53 + -53. Suppose r = -y*b - 0*b + 129. What are the prime factors of b?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-6) + 806\/78. Let r be 1*k\/(-4)*(-7)\/14. Factor -r*c**4 + 0 - 1\/4*c**5 + 0*c - c**2 - 2*c**3.\nAnswer: -c**2*(c + 1)*(c + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -5*g - 9. Suppose 0 = -4*i + 7*i - g. Suppose -4*f + 12 + 2 = -i*l, l - 6 = -4*f. Put f, 0, -3 in descending order.\nAnswer: f, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 35391 and 0.3.\nAnswer: 35391.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 1. Let b be y(1). What is the first derivative of 8 - 12 + 6*v**b + 0*v**2 - 2*v**2 wrt v?\nAnswer: 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.901 rounded to zero dps?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -690.21 + 690. Let l = -1.041 - 4.649. Let c = h + l. Round c to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 + 76. Let x = 123 - l. Which is smaller: 4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13963647 by 273797.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -845.6 to the nearest ten.\nAnswer: -850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21110010 - -11220011220?\nAnswer: 11121201210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -226 - -226.34. Let t = l + -0.32. Let a = -19\/15 + 5\/3. Is t < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8572926 millilitres?\nAnswer: 0.0008572926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25650 and 12150.\nAnswer: 230850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/11)\/(s*s*s\/s**(-9\/11))*s**(-27)\/((s\/(s*s**(-20\/3)*s*s))\/s*s) assuming s is positive.\nAnswer: s**(-1165\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18451596.\nAnswer: 2, 3, 17, 151, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -8 - (214 + -202).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 704\/3465 - ((-2)\/5)\/(-2). Let v(p) be the third derivative of 0 + 0*p**3 + 1\/36*p**4 + 0*p + 1\/60*p**6 + 1\/30*p**5 + g*p**7 - 3*p**2. Factor v(l).\nAnswer: 2*l*(l + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -1\/20*v**5 + 0*v**2 + 0 + 0*v**3 + 3*v - 1\/12*v**4. Suppose r(q) = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -163353661 (base 7) in base 15?\nAnswer: -e9a99d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 s when four letters picked without replacement from alskklakaa?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 170*j + 13. Let g(x) = -180*x - 17. Calculate 3*g(n) + 4*r(n).\nAnswer: 140*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-6 - (10 + -6 + -1 - 4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1368926 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**3 - 42*a - 48*a + 90*a.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f**5\/5 - 818*f**4\/5 - 8283*f**3\/5 + 2452*f**2\/5 + 26476*f\/5 + 3312 = 0. What is f?\nAnswer: -10, -1, 2, 828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 976083.5 kilograms in grams?\nAnswer: 976083500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 18783?\nAnswer: 1\/6261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119245*f - 95647*f - 147416*f - 54808*f + 111586*f.\nAnswer: -305530*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 5*f - 3*f)*(-f - 3*f + 2*f) - 2*f + 195 - 83*f**2 - 195.\nAnswer: -87*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 56*h - 34. What is the tens digit of t(-17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - w + 81 = 0. Solve 3*d = 5*f - w, 0*d = 3*f - 2*d - 17 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 20 - 3*b - 13.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - r + 0 + 0)*(4*r + 1 - 41*r - 6*r).\nAnswer: 43*r**2 - 44*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 11:56 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 13 + 11)*(-3*r + 3*r - r)*(2 + 0 - 3)*(-1 + 0 + 0 - 2 + 1 + 0 + (-2 + 2 - 2)*(-3 + 2 + 2) + 1 + 0 + 1) to the form m + t*r and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1733588 to the power of 1\/2, to the nearest integer?\nAnswer: 1317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 1\/500?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and (-150)\/(-33) + (-12)\/22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 772343 (base 8) in base 11?\nAnswer: 1678a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1646896 and 311?\nAnswer: 1646585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*v = 3*v - 8879 - 17777. Let n(l) = 8*l**3 + 3*l - 3. Let f(b) = 360*b**3 + 136*b - 136. Give v*n(t) - 6*f(t).\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*o**2 - 670*o**3 - 21*o**2 + 324*o**3 - 52*o**2 + 336*o**3.\nAnswer: -10*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*r + 805 = -91*r - 50 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**2 - 11*o + 6. Let r(f) = 4*f**2 + 12*f - 7. Let q(v) = -4*r(v) - 5*t(v). Let d(n) = 1. Let y(p) = -2*d(p) - q(p). What is y(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 1. Let r(z) = 3*z**2 - 3*z - 4. Let v(q) = -r(q) + 5*s(q). What is the remainder when (25 + -2)*(2 + -1) is divided by v(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -15*d - 1. Suppose 0*k - k - 7 = 4*p, 0 = -5*p + 5*k - 15. Let q be f(p). Let t = q + -15. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -3, -1\/4, -0.3, 3.322, -30?\nAnswer: 3.322","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268966576?\nAnswer: 2, 1831, 9181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 18\/63*(152\/(-8) - -13)\/(4\/(-28))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**5\/60 - 5*d**4\/12 + 4*d**3\/3 - 5*d**2. What is the units digit of v(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*b**2 + 2*b**2 - b + 2*b**3 + 17*b**2 + 4*b**2 - 7*b**2 - 20 in the form x + t*b + d*b**2 + f*b**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(3*i + 76 - 2*i + 0*i).\nAnswer: i + 76","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7816133*l**4 - 24*l**2 - 72*l - 1421.\nAnswer: -187587192*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m**3 - 2*m**2 + 6*m - 4. Determine r(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9301, -9144, -8987, -8830?\n\"Answer: 157*b - 9458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9228 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54 (base 6) to base 12.\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 737.1, 1\/43 in descending order.\nAnswer: 737.1, 1\/43, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -123 + 125. Solve -4*f = k*x - 20, -3*f = x - 13 - 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*w**3 - 93*w**3 + 7*w - 41*w**3 as c*w**3 + t*w**2 + q + m*w and give c.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - (-10335 + 0) - 1*-1. Find the second derivative of 6*i + 10333 - 31*i**3 - b wrt i.\nAnswer: -186*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -42*m**4\/17 + 2283544*m**3\/17 - 23049730*m**2\/17 + 59252500*m\/17 - 5436000\/17 = 0.\nAnswer: 2\/21, 5, 54360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -115*j**2*x**5 - 78*j**2*x**2 + 2*j**2 + 1 wrt x?\nAnswer: -6900*j**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 3*u + 18, 2*p + 3*p - u - 17 = 0. Suppose 0*f + 3*j + 2 = f, 6 = -p*j. Let q be 102\/(-27) - f\/(-18). Let a(w) = -4*w - 6. Give a(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/3*(-5 + 2 + 21). Let x be d\/18*3\/2. Factor -2\/5 - 1\/5*o**3 - o - 4\/5*o**x.\nAnswer: -(o + 1)**2*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35441 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 13 + w + 0*w + (1 + 0 + 0)*(-1 + 2*w + 1) as j*w + i and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, g: 1, o: 3, f: 2, l: 1, j: 3}. Give prob of sequence gc.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 65, 97, 145, 209, 289, 385, 497?\n\"Answer: 8*j**2 + 8*j + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15026873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 517, 523, 531, 541?\nAnswer: 553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5080 is divided by 557?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 1 - 8*w + 3 + 12*w. Calculate a(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -3\/4, -2, 0.027?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5.6? (a) 1\/2 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c**2 + 327569*c + 357130?\nAnswer: -2*c + 327569","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -9. Suppose -2*f - f + 63 = 0. Solve -5*r = -2*r + g*k + f, -6 = 2*k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (2 - 15)*-1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*a - 9, 2*i + a - 6 = 0. Suppose -c + 336 = f - i*c, -1000 = -3*f + c. Calculate the greatest common divisor of f and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/12 - (-2)\/3. What is the units digit of 5 - (v\/3 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4 + 32*h**3 - 2*h**2 - 32*h.\nAnswer: 2*h*(h - 1)*(h + 1)*(h + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-2)*(-6)\/(-3). Suppose -4 = 3*u - 2*n - 5, b*u = -3*n - 10. Sort 2, 5, u.\nAnswer: u, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.08 - 0.8. Let p = c + 0.6. Let u = p - 2.88. What is the closest to -0.1 in u, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10487*b - 2 + 10487*b - 63*b**2.\nAnswer: -63*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (495\/20)\/(7\/644). Let k = l - 1501. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 494 * 7.\nAnswer: 3458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -782cb (base 15) to base 4\nAnswer: -1131101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 207*y - 2 + 3*y**2 - 208*y to the form t*y**2 + w + b*y and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + g = -39, g + 61 = -5*b - 2*g. Let n(f) = 2*f**2 + 15*f + 15. Let j be n(b). Suppose -j = -2*c + 57. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37\/56 - -3\/8. Let j = -18 - -18.7. Let m = j - 0.2. Which is the closest to o? (a) m (b) -0.2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - h - 1. Let c(q) = 6*q**3 - 8*q**2 - 6*q + 4. Let u(g) = -c(g) - 5*v(g). What is the remainder when 31 is divided by u(9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2066*b**2*y - 84*b**2 - 4*b*s*t**2*y - b*s*t**2 - s*t**2 - s*y + 5*t**2 - 3*t + 1 wrt y?\nAnswer: 2066*b**2 - 4*b*s*t**2 - s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w - 2 + 2 - 4*w + 1 + 5*w. Let k be (0 - 7)*(1 - 0). Let l(y) = y**2 + 7*y + 4. Let a be l(k). Calculate p(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vs when two letters picked without replacement from {v: 12, n: 1, s: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 3:07 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-6))\/((-4)\/(-96)*-2). Suppose 5*f - u*p = 5, 4*f + 15 = 2*f + 5*p. Solve f*t - 8 = 9*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 1) + 3 - -9 - 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 8 + 6. Suppose -4*x = 0, 4 = 4*c - 4*x - 0*x. What is the greatest common factor of c and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/9*(-5)\/((-255)\/6).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 543 = l, -5*d - 328 = 3*l + 338. Let y = 140 + d. Let f(t) = t - 1. Let n be f(4). Solve 24 = w + 4*w + a, -y*a + 8 = -n*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 3:40 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1196470 is divided by 1165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -16 - 14*c - 71*c + 16. Let a be r(6). Round a to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 22, 45, 60, 61, 42?\n\"Answer: -c**3 + 2*c**2 + 24*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19377 and 77559672.\nAnswer: 6459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/3*24\/(-20). Let i be (-26)\/n - 4\/16. Solve -3*o + 4*o = i for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/3*0 + 6. Suppose a*o = 3*o + 9. Calculate the highest common divisor of o and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -82240.2 to the nearest 1000.\nAnswer: -82000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-4) - 5)\/((2 - -7)\/(-3))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 3*y + 0*y)*(0 - 2 - 3)*(-5*y - 22*y + 48*y) + 2*y**2 - y**2 + 0*y**2.\nAnswer: -104*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10*(-3)\/(-1110)*16. Let t = l + -121\/148. Which is the nearest to 1\/2? (a) -0.4 (b) t (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, o: 2, s: 1}. What is prob of picking 1 o and 2 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - (20 + -23 - (3 + (-5 - -7)))) + 78.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 times 0.31361?\nAnswer: 7.84025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 11, -13, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -282, -5, -100.\nAnswer: -282, -100, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (6 - (11 - 1) - 1) - -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -11*g**4 - 675*g**3 + 690*g**2 + 1360*g. Let q(m) = -10*m**4 - 675*m**3 + 690*m**2 + 1360*m. Let t(n) = -5*p(n) + 6*q(n). Factor t(k).\nAnswer: -5*k*(k - 2)*(k + 1)*(k + 136)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 6*y = 3. Suppose -3*q + y = 6. What is the third smallest value in -0.3, q, -2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z + 4*z - z - 2*z + 3. Let b be a(-7). Suppose 2*w + 2*o = -4, -2*w + 0*w + 5*o = -b. Solve -s - 2 = -w for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289 is divided by 96?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/8273920 and 109\/258560?\nAnswer: 8273920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**2 - 104*n - 106 = 0.\nAnswer: -1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.2195 (c) -13.306\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -124 - -229. Suppose -r + 7 = -2*f, 9*f - 5*f = -5*r + u. What is the greatest common divisor of r and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2983985.9 to the nearest one hundred thousand.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 40*w - 534. Give b(12).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -601 + 625.9. Let j = q + -25.021. Let z = -0.221 - j. What is the smallest value in -0.5, 3, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 532 + -370. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.60686023 rounded to 2 decimal places?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 28 - 4*t - t**2 - 18 - 6. What is m(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3*y - 35 = 34, -2*c - 5*y + 45 = 0. Suppose c*n - 663 = 2*n. List the prime factors of n.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*t - 16640 + 694, -5*t = 4*j - 15931. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6730.625 kilometers?\nAnswer: 673062500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 771 - 1685*n - 771.\nAnswer: -1685*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 3. Let c = 392.7 + -393. Sort c, z, 0.02 in increasing order.\nAnswer: z, c, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -442 - -832. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 56\/(-16)*(-4)\/7. Suppose 4*q = -3*v + 92, -5*v - a*q = q - 157. Does 22 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15914286 by -342.\nAnswer: 46533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15786530 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2325957 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g**2 - g + g)*(10*g**2 - 7*g**2 + 11*g**2 + (4*g + 4*g - 6*g)*(2*g + 0 + 0)) to the form o*g**4 + c*g**3 + z + p*g**2 + t*g and give o.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1557001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04419930428 + -0.1?\nAnswer: -0.05580069572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of n**6\/40 - n**5\/30 + n**4\/12 - n**3\/3 + 450*n**2. Calculate q(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 6, 4*k + 4*x = 67 - 19. Calculate the highest common factor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 + 10*h + 3. Let o(c) = -c**3 - 5*c**2 - 5*c - 4. Let r be o(-3). Let w be i(r). What is the greatest common factor of 248 and w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -79655 - -536623?\nAnswer: 456968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4\/2 - 858*f**3 - 2583*f**2 - 2586*f - 1725\/2.\nAnswer: 3*(f - 575)*(f + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**7\/70 - a**5\/30 - 347*a**4\/8 - 3851*a**3\/6 + 129*a**2 + 10*a. What is the derivative of c(o) wrt o?\nAnswer: 12*o**3 - 4*o - 1041","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -0.14 (c) -101177 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 37292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-37)\/7 - (-14)\/49. Let y(d) = 5 + 2 + 232*d - 4 - 460*d - 4 + 224*d. What is y(o)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 139363960 to the nearest 1000000.\nAnswer: 139000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, a: 5, q: 2, i: 7, e: 1, z: 1}. Give prob of picking 2 w.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 152352539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - w**2 + 2*w - 4. What is u(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7710762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0069 minus 4593?\nAnswer: -4592.9931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -133, -237, -373, -535, -717, -913, -1117?\nAnswer: -1323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qj when two letters picked without replacement from ljjjjjqql.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*y + 5*d - 345, -2*d = 4*y - 280. Suppose -44 - y = -4*h. Calculate the remainder when 83 is divided by h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + 2 + -1 + -1. Let w be 4\/j*3 + 1. What are the prime factors of (-8)\/(-8) + -1 + w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**3 - 16*q**2 - 45*q + 162 = 0. What is q?\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 6:43 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + sqrt(19)) + sqrt(152)\/sqrt(128) + sqrt(19))**2.\nAnswer: -22*sqrt(19) + 2555\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 27\/4*o**3 - 11*o**2 - 3\/8*o**4 + 27 + 0*o + 1\/120*o**5. Let v(j) be the second derivative of q(j). Factor v(x).\nAnswer: (x - 9)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 3199*k**2\/2 - 3930*k - 4258. Find the first derivative of t(c) wrt c.\nAnswer: 3199","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -52 + 64. Let d = 189 + -187. Put -12, r, d, -4 in increasing order.\nAnswer: -12, -4, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) - sqrt(704)*-2*5 - (-1*sqrt(704)*-2 + sqrt(704)))**2 - (sqrt(704) - (sqrt(704) + 2)**2*-1 - (1*sqrt(704) + -4)))*-6*-1.\nAnswer: -192*sqrt(11) + 266064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 2*k - 570, 4*k = -k - 20. Suppose 11*j - f = -113. What is the lowest common multiple of 62 and j?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -8 - 2) + 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 152?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccrcrccrcr. Give prob of sequence ccc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqx when three letters picked without replacement from {x: 1, k: 5, a: 1, l: 3, q: 3}?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8\/25 of a meter?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1142927 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 + -20. Let j = 10.08 - n. Sort -5, j, -0.1 in ascending order.\nAnswer: -5, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49767 is divided by 630?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2826600 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d = 8*d - 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -n**5\/40 - 7*n**4\/12 - n**3\/3 - 25*n**2 - 30. Let g(t) be the third derivative of h(t). Give g(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362*y + 2 - 363*y - 2.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -689 = -4*a - c - 0*c, -3*a = c - 518. Suppose -3*v = 3*u - a, -v = 2*v - 4*u - 185. Suppose v - 209 = -6*s. Solve 2*p = 7*p - s for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 - 360*o - 8100.\nAnswer: -4*(o + 45)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442429 is divided by 44228.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lccccl. What is prob of picking 2 c and 1 l?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12 - 353 - 1264 + 6*h**2 - 13 + 51 + 290*h wrt h?\nAnswer: 12*h + 290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3360)\/36*-1464 + 9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10255*s**2 - 5127*s**2 - 120*s**3 - 5127*s**2 + s as x + l*s**2 + b*s + g*s**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f - f + f)*((5 - 1 - 2)*(3 - 6 + 4) - 3 + 3 - 1 + 21 - 29 - 8) to the form g*f + u and give g.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (104*v - 1280*v - 1076*v)*(v - 2*v + 0*v) + (2*v - 4*v + 1 + 1)*(7*v - 3*v - 2*v) to x + q*v**2 + b*v and give q.\nAnswer: 2248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (3 + (-672)\/225). Is a less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6761*b - 5175*b + 13659*b to d*b + r and give d.\nAnswer: 1723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*l + 2*s + 369, -4*s = -12. Let c = l - -192. Let p = 144 - c. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 780*d - 2. Let y(f) = -5*f**3 - 3902*f + 11. Determine -11*l(u) - 2*y(u).\nAnswer: -u**3 - 776*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -4. Let h(b) = b**3 - 3*b**2 + 2*b + 1. Let s be h(2). Is 7*(0 - i)*s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t**2 - t + 6. Let c(s) = 42*s**2 - 8*s + 70. Let y(o) = c(o) - 12*r(o). Let v(a) = -7 - 6*a**2 + 0*a + 5*a + 4. Give 4*v(q) - 5*y(q).\nAnswer: 6*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 2444 (c) -4 (d) 3\/64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-2 + -39)) + (558 - 566)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 + 41.2. Which is the third smallest value? (a) 0 (b) j (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-42)*2*(-2)\/4\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -13. Let r = k - 6. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 101590 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 16*h**2 + 1. What are the prime factors of j(-4)?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 10, -85\/1444, 1\/5?\nAnswer: -85\/1444","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -212*h**6 + 67*h**2 + 2 wrt h.\nAnswer: -25440*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8444?\nAnswer: 2, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13975036 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a year in months?\nAnswer: 258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -796\/7 - -114. Let f = -0.1 - -0.2. Let w = -77\/3 + 853\/33. Which is the closest to k? (a) f (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 68, 103, 158, 239?\nAnswer: 352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ndddnnnddnnndnndnnn. What is prob of picking 2 d and 2 n?\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/36 + (-33)\/44?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40112269.\nAnswer: 643, 62383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 1360.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-272)\/(-14))\/(-4) + (135\/35 - 4). Put t, 4, 3 in increasing order.\nAnswer: t, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -243, -252, -259, -264, -267, -268?\n\"Answer: u**2 - 12*u - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**3 + 51*x**2 - 13*x + 21. Let b be u(-13). Solve -2 = -h, 4*i + 7 = 4*h - b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41.6 times -8978\nAnswer: 373484.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -124 + 125. Calculate the lowest common multiple of (x + 5)*(-20)\/(28\/(-7)) and 50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36.29 - -36. Let k = -0.29 - u. Which is bigger: 6\/7 or k?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i + 42*i - 3140679 = -11*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -22. Solve -m*j + 2*j - 2 = 2*i, 4*i = 2*j + 20 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14974 + 996*h - 14974)*(-3 + h**3 + 3) + 3*h**4 - 5*h**4 - 2*h**4 - h**4 + 4*h**4 - 4*h**4.\nAnswer: 991*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6) - (0 - 0). Let x = -5 - -4.8. Let p = -5357.8 - -5358. Which is the nearest to y? (a) x (b) -2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17\/(49294\/12320 + -4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 488*o. Suppose 3*h - 647 - 538 = -3*d, 1574 = 4*h + 2*d. Let r(k) = 194*k + 198*k - h*k + k**2. Give r(y(a)).\nAnswer: 238144*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v. Let g(b) = -b - 310. What is g(i(q))?\nAnswer: -2*q - 310","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**5*n + 415*l**3*n - l*n - 569*l - 2*n wrt l?\nAnswer: 20*l**3*n + 2490*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7\/451 - -21141\/3608. Let i = -791 - -2336\/3. Find the common denominator of v and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3607\/180 - 871\/40. What is the common denominator of a and 50\/(-6) + 0\/3?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1895953119 to the power of 1\/3, to the nearest integer?\nAnswer: 1238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11867 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 11*k**2 + k - 5. Suppose 11 = 6*x - 5*x. Let y be i(x). Solve c + y = 3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - -3*(sqrt(68)*-2 + sqrt(68)))\/sqrt(4).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25\/28 + -8\/7. Let c = 5.8 + -6. Let g = 0 - c. Are q and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -161868 - -361019. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*c - 31*c + 52*c.\nAnswer: -21*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 36, -4 in decreasing order.\nAnswer: 36, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 3. Suppose -5615 = -b*v + 18385. Round v to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 2*m = -p - 2, -49597 = -3*p + m - 49603 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 divided by -29?\nAnswer: -158\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 2*q**2 - 4*q. Calculate the lowest common multiple of b(-4) and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2\/7 - 4*z + 90\/7 = 0. Calculate z.\nAnswer: 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 6 + 39. Calculate the remainder when 26 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 728\/15 - 4157\/60. What is the common denominator of -32\/203 and x?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7143 a factor of 1341205395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*v = -67*v - 231 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3763773 (base 10) to base 5.\nAnswer: -1430420043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (0 + 1 + 1). Let l = -3.2 - 0.8. Let s = -61 - -61.3. What is the nearest to 0.1 in l, t, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3927, -7852, -11777, -15702?\nAnswer: -19627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*538.\nAnswer: 10.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 568*b**2*m**3 - 4*b**2*m**2 - 6*b**2*m - 309*b*m - 3*m**3 - m wrt m.\nAnswer: 3408*b**2*m - 8*b**2 - 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -883*q**6 - q**3 + 16189*q**2.\nAnswer: -105960*q**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10810, 10798, 10772, 10726, 10654, 10550, 10408?\n\"Answer: -y**3 - y**2 - 2*y + 10814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-165)*8)\/4.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5823*d*u**3 + 22294*d*u**2 - u**3 wrt u?\nAnswer: -34938*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -3*y**2 + 0 + 1\/3*y**3 + 1\/30*y**5 + 0*y + 1\/6*y**4. Factor q(i).\nAnswer: 2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 1 + 1)*(9*h - 2*h - 3*h)*(-5*h - h**2 - 2*h + 2 + 6*h) as d + y*h**2 + o*h**3 + f*h and give y.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*s = -554. Suppose k + t = 190, -427 = -2*k + t - 35. Let r = s - k. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 1, -0.3, 3\/22 in decreasing order.\nAnswer: 1, 3\/22, -0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t**3 - 1355*t**2 + 2 + 6*t**3 - 10*t**3.\nAnswer: -13*t**3 - 1355*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + 2*y - 5*y)*(0 + 0 - 5).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 23*g + 373. Calculate the least common multiple of q(-16) and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d - 7. Let u(i) = -10*i + 20. Let h(y) = -7*n(y) - 2*u(y). Let o be h(9). Find the first derivative of -3 + 4*k**4 + 0*k + 0 + o*k wrt k.\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (30\/(-48)*-4)\/((-2)\/(-8)). What is the greatest common divisor of w and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34 - (-25 + 5)) + (28 - 0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42545609?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1013481*a**3*h*q**3 + 2*a**2*h*q - 14243*a**2*h + 3*q**3 wrt a?\nAnswer: -6080886*h*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + -1)\/((-18)\/(-3)). Let x be 11*(-118)\/(-8) - 2. Let c = x - 161. What is the second smallest value in m, 1\/5, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 3:08 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 2) + (0 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b + a75104?\nAnswer: a750b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1755 and 1923723?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 39*y**2 - 189*y + 5. Calculate the remainder when 4372 is divided by v(5).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 135458 + 4?\nAnswer: 135463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 5*k - 19*d + 17*d - 35, -6*d = 90 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -19879, 5, -5, 18 in decreasing order.\nAnswer: 18, 5, -5, -19879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 768 + -762. Suppose t*x - 1131 = 2115. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.88662544 rounded to three decimal places?\nAnswer: 9.887","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -64971990 rounded to the nearest one hundred thousand?\nAnswer: -65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from lgmgblbmgbghggbm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - -1) + -1 + 4. Suppose -3*w + 4*f = 0, -k*w + 0*f - 3*f + 21 = 0. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 9 = 0, q + 2*l - 7 = 3*l for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6510, 13022, 19528, 26028, 32522, 39010, 45492?\n\"Answer: -3*j**2 + 6521*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/11 (b) 0.301 (c) -10 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-98)\/32*-2 - (-3)\/(-24). Let d(a) = a**2 - 9*a + 6. What is d(b)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 28939?\nAnswer: 173634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4 = -5. Let r be (12\/(-26))\/((-7 - -12 - 4)*4\/(-52)). Solve 0 = -5*c + t - 14, r = -4*c + 3*t - k for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 2*u - 7. Let n be d(-5). Suppose -n = -5*p + 42. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*z + 660 = -122*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 g, and 1 t when three letters picked without replacement from ndddggdtud?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/160 and 17\/160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*(k\/(k*k\/((k\/k**(2\/23))\/k*k))*k*k)\/k)\/((k**(-1)*k)\/k))**(-30))**42 assuming k is positive.\nAnswer: k**(-84420\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11179.423 rounded to the nearest one hundred?\nAnswer: -11200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1021079388 to the nearest integer?\nAnswer: 1007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -12*q**3 + q**2 + 22*q + 8. Let l(r) = 4*r**3 - 8*r - 3. Determine 11*l(p) + 4*y(p).\nAnswer: -4*p**3 + 4*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**4 - 120*j**3 - 1287*j**2 - 2226*j - 1056 = 0.\nAnswer: -22, -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 0 + 20. Let u = y + -22. Put -5, 3, u in ascending order.\nAnswer: u, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n = -48*n + 36 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/(-6) - (-1652)\/1416. Put -2, -23, h, 34 in decreasing order.\nAnswer: 34, h, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 772494109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (2 - 3) + -7 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7 - (5 - 2))*12. Suppose -j = -41*w + 38*w. What is the lowest common multiple of 22 and w?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 3*s - 12, -3 - 12 = -5*y + 5*s. Suppose -y*a + 3*j = 897, 3*j + 2*j - 25 = 0. Let x = -163 - a. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -3, 0.8, 3, 3\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*s**2 + 957797 + 100*s**2 - 957797.\nAnswer: 189*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 9*u**2 + 9*u + 11. Suppose -2*i - 4*r - 4 = 0, -r = -i + 4*r - 23. Let c be o(i). Is c at most -4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 223*c**2 - 10*c + 556. Let h(j) = 224*j**2 - 14*j + 558. Let d(f) = 2*h(f) - 3*l(f). Differentiate d(b) with respect to b.\nAnswer: -442*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q = 0. Let i(c) = c. Let j be i(q). Let x(m) be the third derivative of m**6\/120 - m**3\/3 + 6*m**2. Give x(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 + 108. Let u = -47 + a. Suppose 0 = -4*c - 4 + u. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-2)\/(-2)*(-25 + 26)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**3 + 27*y**2 + 72*y - 13. Calculate i(-8).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-144)\/192*72\/(-30)*-20?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -3*c**2\/2 - 9101571*c + 18203145\/2 = 0.\nAnswer: -6067715, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31 or -2\/3153615?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 135 - 76. Suppose 5*o = y + y + 82, 5*y = -4*o + x. Calculate the remainder when 62 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11449 - 11428. Solve -3*z + 4*g - x = 0, 377*g - 378*g - 6 = 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*q - 668*q**2 + 8269*q**2 + 7*q + 3596*q**2 to the form j + k*q**2 + v*q and give k.\nAnswer: 11197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 8. Let o(v) = 380*v - v**2 - c - 13*v**2 - 379*v. Let j(u) = -u - 2. Let q be j(-3). Give o(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-4 + -2) - 2) + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 411525495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 36 = -u, 18*j = 13*j + 4*u + 34. Let i = 152 - j. Is i a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 5*h + 26, 1 = -h - 1. Suppose -a - 4 = -i*c, -c + 5*a - 25 + 7 = 0. Sort c, -5, -4, 0 in descending order.\nAnswer: c, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) - sqrt(396)*-1)\/sqrt(12))\/(sqrt(3) + -4*sqrt(147)).\nAnswer: -2*sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 15 = -5*y, 5*m + 1 = -y + 10. Let d be (-2)\/2 - (-1 - 11 - -6). What is the derivative of 2 - u**2 + 2*u**2 - d + u**m wrt u?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*g**3 - 2*g + 2*g**2 + 29*g**4 - 25*g**4 - 76*g**3 + 3 in the form v*g**2 + z*g + c + u*g**4 + q*g**3 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -849203 - -71535\nAnswer: -777668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 21. Let r(d) = 7*d**3 - 2*d + 4. What is the tens digit of r(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7005 + -6526. Calculate the remainder when i is divided by 79.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 27103.36ng?\nAnswer: 0.00000000002710336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2928\/274988)\/(4\/14))\/(((-20)\/56)\/5)?\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.91 + 8853333.7.\nAnswer: 8853332.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88 divided by 13.\nAnswer: 88\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d + 2*d - d + (230 - 460 - 739*d + 227)*(3 - 1 - 4) as h + s*d and give s.\nAnswer: 1477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -33 (b) -2 (c) -4\/9 (d) 1\/5 (e) -0.26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-4))\/((-4)\/336*-9). Let c be ((-4)\/2 - -1) + 57. What is the highest common divisor of p and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 446, 317, 5 in descending order.\nAnswer: 446, 317, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 805 and 57.\nAnswer: 45885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*3*((sqrt(19) + -4*sqrt(19)*-2 - sqrt(57)\/(sqrt(3)*-1))*6 + 3).\nAnswer: 54 + 1080*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 4 + d**3 - 213*d**4 - 139*d**4 + d**2 + 398*d**4 - 6 to i*d**3 + y + x*d + b*d**4 + k*d**2 and give b.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111100010000011010 + 10?\nAnswer: 11111100010000011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 187296*j**2 + 183929.\nAnswer: 374592*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r**3 - 16*r**2 + 8*r - 165. What are the prime factors of n(17)?\nAnswer: 2, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1070.6277 - 10.\nAnswer: 1060.6277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - 24. Are 2\/33 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q*q\/q**(1\/3))\/q)**19)**(-1\/3)\/((q**(-1)\/q)**(-2)*(q\/q**(-1))**(1\/7)) assuming q is positive.\nAnswer: q**(-935\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -65, -104, -115, -98?\n\"Answer: 14*o**2 - 81*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t = -9*t - 515. Calculate the remainder when t is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 8 - -3 - 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1276?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -262, -629, -994, -1357, -1718, -2077?\nAnswer: -2434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 5*r + 4*r)*(-41 - 77 - 116).\nAnswer: -1170*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 6:48 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(176)\/sqrt(4)*2)\/(3*(sqrt(4) - sqrt(36))) + 5*(sqrt(99)\/(1*sqrt(9)) - (2*sqrt(44) - sqrt(11)))**2)*3.\nAnswer: -2*sqrt(11) + 1320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 times -0.13?\nAnswer: -90.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 51085.17742 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**3 - t**2 + 3. What is j(-3)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 246*k + 3151. Determine t(-19).\nAnswer: -1162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 2. Let w be h(-2). Suppose w = -k - 0*k. Solve -3*z + 0 - 15 = k, 0 = -3*a - 5*z - 22 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -23. Let r = 0.25 - 0.15. Which is the third biggest value? (a) x (b) -12 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/572331 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 17 - 14 - 14*p.\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(36)\/(sqrt(84)\/(sqrt(21)\/sqrt(3))) + 4) + (-1*sqrt(147)*6 + sqrt(147) + sqrt(147))*1*1)**2.\nAnswer: 1632*sqrt(3) + 4044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0.00002. What is i rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**3 - 2*q**2 + 9*q - 7. Let k be u(1). Let l be k\/14 - 1994995\/35. Round l to the nearest one thousand.\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(-2 - 2*p + 2)*(75*p + 18 - 125*p - 8).\nAnswer: 200*p**2 - 40*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -67*o - 2. Let k(b) = -23*b - 9*b - 7*b + 56*b - 15*b. What is i(k(r))?\nAnswer: -134*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - q - 1. Give g(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -311*f**2 - 10980243 + 804*f**2 + 10980243.\nAnswer: 493*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 16 + 9. Let k = -0.64 - -3.64. What is the nearest to 0 in k, l, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -15134?\nAnswer: -15125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 868925 less than or equal to 868925?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22*182\/(-3432))\/((-60)\/5760)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/104)\/(3\/39)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*y - 19*y + 4953998 = 4954583 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/9)\/((-2*4)\/4).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 29\/5 of a microgram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 465 and 4725?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -8, -3, 2\/191, 2, -0.1?\nAnswer: 2\/191","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*x + x**2 + 73*x.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12958140 and 47145.\nAnswer: 90706980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -42440 (base 5) in base 13?\nAnswer: -13ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 152*c**7\/105 + 136*c**3\/3 - 3000*c**2. Find the first derivative of d(t) wrt t.\nAnswer: 1216*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 508 = p - 165. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/33874 and -91\/230.\nAnswer: 3895510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 1 = -5*r + 3*a, -3*a + 6 = -3*r. Suppose b = -4*d + 155973 - 3970, -r*b = 5*d - 190006. What is d rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1.152, -37\/6 in increasing order.\nAnswer: -37\/6, -3, -1.152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - y**2 + 4*y - 6. Let x be f(3). Let s be (2\/(-20))\/(x\/8 - -3). Sort -0.2, 1, -2, s in ascending order.\nAnswer: -2, -0.2, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 11. Let x be (-1)\/(2 - i) + -1. Suppose x = 5*u - 2*s - 51, -5*s + 41 = 5*u + 11. What is the remainder when u is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(1\/4))\/d)**(5\/2)\/((d*d**(1\/3)*d*d)\/(d*d\/(d\/d**(-1\/8)))) assuming d is positive.\nAnswer: d**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/1 + 11\/((-99)\/(-45)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*i + 59*i + 4*p + 24, 2*p = -10 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -392787*i**2 - 3. Let j(q) = 2*q. What is j(u(r))?\nAnswer: -785574*r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-328080)\/(-147636)*27\/(-2)*(-28)\/21.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 17*w**5\/120 - w**4\/8 - w**3\/6 + w. Let p(a) be the second derivative of u(a). Is p(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7521 - -0.4821. Is 1\/18 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 471276609 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -4 (b) -1\/4 (c) -3.9 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 6*a + 6601. What are the prime factors of o(0)?\nAnswer: 7, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4873?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -92*t + 638. Is r(-83) a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 2*k - 17 = 0, -2*k - 31 = 3*h - 70 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 27, 47, 71, 99?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*c + 9. Suppose -c = -3*z - 17, g + 5*z + 15 = 0. Suppose -n = -g*n + 140. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 25 = 0, 4*o + 5*q - 16 = 33. Solve -2*x = 2 - o for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 8 = 4*b, 2*b + 2*b - 2*w = 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 97*g + 8*g**3 - 132*g + 9*g**3 wrt g.\nAnswer: 102*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhz when three letters picked without replacement from {i: 1, l: 4, h: 2, a: 4, y: 1, z: 2}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -230b065 + -58?\nAnswer: -230b101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -133*z**3 - z**2 + 139*z - 3. Let b(p) = -2*p**3 + 3. Let j(k) = b(k) + y(k). What is the second derivative of j(x) wrt x?\nAnswer: -810*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10065419 by -110609.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5*o - 125, 2*u = -1 - 1. What is the highest common divisor of 78 and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 6:01 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 16 - 3*x**2 + (-25*x - 16*x - 22*x)*(-x + 2*x + 0*x) to g*x**2 + l + z*x and give g.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 4*f - 6*f. Let a be (0 + -1 - 1) + f. Sort 5, 4, a.\nAnswer: a, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1348031477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 - 21215*f**3 + 3*f**4 + 10577*f**3 - 1 - 12*f + 10640*f**3 to the form t + s*f + v*f**4 + o*f**2 + h*f**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 643137792 and -71675.\nAnswer: 643066117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 191 and 44121?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0*v - 24 = 0. Let i = 5 - v. Let t = 3 + -2. Solve 0 = -3*o - i - t for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25510189 to the nearest integer?\nAnswer: 5051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x - 7. Let h be r(33). Suppose -21*z + h = -8*z. Solve 7*t - z*t = -20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 a when two letters picked without replacement from {h: 6, m: 1, y: 4, e: 3, a: 4, z: 2}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1121, 2, 1, 5 in descending order.\nAnswer: 1121, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -39*h + 9. Let l(f) = -f + 10*f - 6 + 4*f + 12*f. Let o(p) = -5*b(p) - 8*l(p). Let j be 12\/7 + (-2)\/(-7). What is o(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1237 by 2.\nAnswer: -1237\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36350 (base 7) to base 14.\nAnswer: 3627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.750040044 rounded to 4 decimal places?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1185 = 43*w - 48*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -91*g**2. Let a(q) = -q. Determine s(a(h)).\nAnswer: -91*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 4*s + 20, 2 = s - 3. Suppose -r + 3 - 4 = d. Is r\/(3\/(-42)*2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2030 and 54186790.\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 3*b + 2*b)*(-2*b**4 + 41*b**3 - 41*b**3) + 0*b**5 + 0*b**5 + 2*b**5.\nAnswer: -2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487958 is divided by 6262?\nAnswer: 5784","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 - 28 = 5*f. Solve 3 + 17 = -f*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -14*h + 19*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in millimeters?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -459*x**3 + 5*x**2 - 12 + x + 4 + 227*x**3 + 217*x**3 in the form y*x**2 + r*x + w + u*x**3 and give u.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 421.71 rounded to the nearest 10?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**5 + d**4 - d**4 + (307*d + 256*d - 1253*d)*(-2*d - 5*d**4 + 2*d).\nAnswer: 3449*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104558797260 + 50.\nAnswer: -104558797210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(112))**2 + (5 + (sqrt(7) - (sqrt(7) + -1)))**2 - 5*(5 + 3*sqrt(7) + sqrt(7) + sqrt(7) + sqrt(7))**2).\nAnswer: -1234 - 300*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8271743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -204.45 + 204.85. Sort 121, f, -0.5, 8.\nAnswer: -0.5, f, 8, 121","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 135*(2\/(-8))\/((-22)\/88)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -6*l**3 + 3*l**2 + l + 8. Let a be s(-2). Which is bigger: a or 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10590818*f**3 + 20946282 with respect to f.\nAnswer: -31772454*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - -0.09999994. What is f rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 31, 73, 131, 205, 295?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1546774171*b - 314138700 wrt b?\nAnswer: 1546774171","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*s**2*y - 1780758*s**2 + 21233*s*y**2 wrt y.\nAnswer: -3*s**2 + 42466*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z. Let f(l) = l**2 - 15*l. Determine -2*f(g) - 7*h(g).\nAnswer: -2*g**2 - 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**5 - 4*d**5 - 3*d**5 - 3*d**5 + 5*d**5 - 4*d**5 + (-2*d**2 - d**2 + 5*d**2)*(2*d**3 + d**2 - d**2).\nAnswer: -4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 38. Suppose w + 2 = -3*v - 3, -2*v = 4*w. Suppose 4*o - 3*u = 23, -4*u - u = o. Solve -x = -o*f + w for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 12\/895?\nAnswer: 12\/895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (48\/(-20) + 12\/30)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b - 10*b - b - 15*b.\nAnswer: -23*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**2 + 1. Suppose -1 = 4*d + 4*l + 7, -2*d = -l + 4. Let w be 10\/(-20)*(-4)\/d. Calculate n(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1276, -2568, -3874, -5200, -6552?\nAnswer: -7936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*y - 38 = 0, 0 = 6*y - 4*y - 10. Let r be 3\/12*(-12)\/b. What is m in r - 9\/7*m + 9\/7*m**2 - 3\/7*m**3 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3 + 4 = n, n - 5*c = -5. Suppose o = n*o - 24. Let g = o - -5. Calculate the remainder when 31 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 147, 143, 137, 129, 119, 107?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h = 35*h - 120 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -315125144\/369345 - 2\/73869. Let i = r + 823. Is i smaller than -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 314185 and 310?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -7, -719596, -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 12:12 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, f: 1, s: 1, t: 1, g: 1, p: 2}. Give prob of picking 1 v, 1 g, and 1 t.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/7 (b) 5 (c) 3 (d) 1.28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-4))\/(10\/(-40)). Let f be (19 - 3\/(-3))\/((-6)\/k). Calculate the common denominator of -89\/22 and (-8)\/f - 994\/60.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z = -4*k + 20, 5*k - 60 - 31 = -2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 2*o + 6. Let y(q) = -q**2 - 2*q + 7. Determine 5*c(i) - 4*y(i).\nAnswer: -i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -103.235 to the nearest integer.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16574 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 37429.\nAnswer: -2\/37429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -546 = 5*o - 11*o. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {o: 2, u: 1, g: 4, a: 8}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -179 - -308. Suppose 3*w - s = 9. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r + 14. What is w(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1027 - 1026.7002. Let b = a - 0.3. What is b rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26464 and 701872.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of b**7\/8820 + b**6\/2520 - b**4\/4 - b. Let s(x) be the third derivative of q(x). Factor s(t).\nAnswer: 2*t*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 7. Let r(v) = v - 7. Let c(o) = 3*r(o) + 4*y(o). Let z(a) = 3*a + a - 2*a - a. What is c(z(g))?\nAnswer: -g + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/9 and 41\/467871.\nAnswer: 1403613","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4346*g + 834*g - 21812 = -5315 + 22135 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 12 = -d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3245200 rounded to the nearest 100000?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -223, -219, -215, -211, -207, -203?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 2\/1069408761?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -42, -69, -106, -153?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from yfyyyfyyyfyyyyfyyff.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.088 + -0.165. Which is the third biggest value? (a) 0.5 (b) 4 (c) o (d) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 4*k**3 + 18624*k**2 - 37744*k - 2235840 = 0.\nAnswer: -4658, -10, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/4473 and -14\/45?\nAnswer: 22365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4130111 (base 9) to base 2.\nAnswer: 1000011010001110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 9, -2 in ascending order.\nAnswer: -2, 9, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 4:44 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000046517296 rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**2 + 6*o**2 - 11 + 11 + 2*o to t*o + i + j*o**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 + -44. Does 13 divide 24 - 1 - (-1 - d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**3 + 96*m**2 + 3136*m - 75264 = 0. What is m?\nAnswer: -28, 24, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 113*x**2. Let q(p) = 2*p**2. What is q(s(j))?\nAnswer: 25538*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmmn when four letters picked without replacement from {m: 11, n: 9}.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.11 rounded to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*h = -2*v - 255, -v = -h + 85. Let f = -107 - v. Let w(k) = -5*k. Let o(g) = g. Determine f*o(m) - 4*w(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -139 equal to -150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 106*z - 108*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 l when three letters picked without replacement from {l: 1, q: 1, t: 1, a: 2, h: 1, p: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 2) to base 7\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 11*g**3 + 15*g**2 + 15*g + 8. Let n(o) = 36*o**2 - 43*o**2 - 4 - 9*o**3 + 4*o**3 - 7*o. Let t(v) = -9*n(v) - 4*x(v). Determine t(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.8833763um?\nAnswer: 0.0000008833763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 8*v. Let s = 13264 + -13264. Let a(r) be the third derivative of 0*r**3 + s*r - 5*r**2 + 0 - 1\/8*r**4. What is a(f(z))?\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 384 and 1224.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - k**2 + 8*k + 2. Let q be g(-3). Which is the closest to 2? (a) q (b) 3\/8 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 394, 783, 1176, 1573, 1974, 2379?\n\"Answer: 2*q**2 + 383*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t + 84 - 74 - 3*t - 10 - 4*t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*z + 9*z + 49*z + 11*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 + (69 - -25) - (2 + -6 + 4 - 4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = c - 10, -3*c + c = 3*b - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -9. Let f = c + 6. Let p = -3.6 - -4. What is the second biggest value in f, p, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/7)\/(((-1539)\/(-126))\/57).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**3\/15 + 838*n**2\/15 - 86438*n\/15 - 17794 = 0. What is n?\nAnswer: -3, 205, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + -0.1. Let n = 0.02 + -3.1. Let i = -0.08 - n. Which is the nearest to -0.1? (a) i (b) s (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 217 - 215. Let d be (1 - 0) + 2 + -1. Solve -5*f - 2*q + 3 = 0, n*f + 5*q = q - d for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -837 - -837. Are -293 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, n: 1, j: 5}. What is prob of picking 2 d and 2 j?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1368 and 273605016.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 0.14. Let g = -3.86 - n. Let v = 1.08 + -0.08. Is g less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0*a = -3*a - 5, 0 = -4*a - 12. Suppose -2*j - 3*l + q*l = -11, 30 = 5*j + 5*l. What is the greatest common factor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.04 (b) -4\/7 (c) 97\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5610a2 (base 12) to base 10\nAnswer: 1370426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/18*1596\/(-380) - 87\/(-66)?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 28\/16 + -3 - 845\/(-260). Is c bigger than 54\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(432)*2 - sqrt(432))*-5 - (sqrt(432)*-2 + sqrt(432))*5) + 4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 - 20. Let s(n) = -n + 12. Calculate the remainder when j is divided by s(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.48 times -160000\nAnswer: -76800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - (2*sqrt(170)*-6 - sqrt(170)))\/(sqrt(90)\/(-1*sqrt(9))) + (4 + (-1*sqrt(17) - sqrt(17))*-3*-3)**2 + -3.\nAnswer: -158*sqrt(17) + 5521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*y**5 + 29761*y**4 + 17*y**3 + 6*y**2 + 21619044*y + 1.\nAnswer: -1140*y**2 + 714264*y + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66)\/264 - (4\/32)\/(3 - 1841\/614).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26853827 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4 + 2 - 6\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 582 is divided by 255?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-170)\/(-25)*20\/8. Let q = 121\/7 - c. Which is smaller: q or -0.179?\nAnswer: -0.179","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1478063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a meter in centimeters?\nAnswer: 1480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 5 + 3. Suppose -32 + 0 = -b*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 753*v**2 - 20*v + 691. Let g(m) = -377*m**2 + 9*m - 344. Let z(p) = -9*g(p) - 4*t(p). Find the second derivative of z(k) wrt k.\nAnswer: 762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -4 + (2*(sqrt(68)*-2 + sqrt(68)))\/sqrt(324))*2)**2.\nAnswer: 16*sqrt(17) + 26516\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 228324, 228247, 228170, 228093, 228016, 227939?\nAnswer: 227862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 111926 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: Suppose -5*f - 22 = -2*g, g = 5*f - 7 + 33. Let n(i) = -i - 7. Let k be n(f). What is the nearest to -0.2 in k, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -97443\/5 - -19396. Let c = q - -2653\/30. Is -4 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 15*w**2 + 8*w - 2. Let y(i) = -67*i**2 - 36*i + 9. Let p(u) = 9*h(u) + 2*y(u). Let k(z) = 26*z - 15. Calculate p(k(a)).\nAnswer: 676*a**2 - 780*a + 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28\/(-15) - -2 - (-27448)\/5640. Let y = -0.06 - -0.1. What is the closest to y in 4\/3, m, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (54\/(-12))\/(3\/(-48)) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sj when two letters picked without replacement from jjyssdlsss.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/336 and -47\/70.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -3*v**5\/20 + v**3\/6 - 32*v**2. What is the first derivative of p(w) wrt w?\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -11*i**2 - 33*i - 37. Let q(c) = -4*c**2 - 11*c - 12. Let z(j) = -3*p(j) + 8*q(j). Let v be z(-10). Calculate the greatest common factor of 10 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 1 - 41. Let h = 31 + -28. Suppose -5*g + h*v = 5*v - 55, -5*v = g - 34. Is g greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 4*s - 8, 0 = 7*x - 12*x + 4*s + 56. Suppose -2*v = -g - 2, 14*v + x = 16*v. What is the least common multiple of g and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 147991968\/(-99) + -22 - 4\/(-11). Round z to the nearest ten thousand.\nAnswer: -1490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (882*11)\/(185\/4). Let z = 87327\/259 + v. Let w = z + -547. Which is the nearest to 1? (a) -1\/3 (b) w (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/2)\/(1\/4). Suppose 5*b - u*z = 4, 5*b - 4 = 3*z + 4. Let t(a) = a**2 - 4*a - 2. Let v be t(5). Solve k - b*d + 13 = 0, k + 7*d - v*d = 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + 1\/1 - -25. Let m = b + 12. Is (m\/(-10))\/(8\/(-40)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.47249538 - 10\nAnswer: -9.52750462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 43110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/9)\/(6230\/8430) + (-9)\/21.\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 96\/42 + 2\/(-7). Sort -4, 10, 0, f.\nAnswer: -4, 0, f, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 7*j**2 + j + 19. Let s(m) = 4*m**2 + m + 9. Let d = 3284 - 3289. What is d*s(c) + 3*z(c)?\nAnswer: c**2 - 2*c + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/2*m + 15\/4*m**2 - 2 - 5\/4*m**4 - m**3 = 0.\nAnswer: -2, -4\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**3 + 5*q**2 + q + 3. Let z = -287 - -282. Let w(l) = -5*l**3 + 8*l**2 + l + 5. Calculate z*w(m) + 8*k(m).\nAnswer: m**3 + 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3572 - -5?\nAnswer: -3566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3*2\/18 + (-496)\/(-1116)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104.5 rounded to zero decimal places?\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y. Let f(s) = -4*s. Let r(p) = -f(p) + 6*g(p). Let n(v) = -17*v. What is r(n(t))?\nAnswer: 34*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 57 = -63. Solve f - 10 = g*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-21)\/(-14))\/(4367\/(-4370) + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*n = -200. Suppose -2*j + n = 12. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 30.2. Let z be 4\/(-2) - (-3)\/4. Let g = -336 + 336.13. Which is the smallest value? (a) s (b) z (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251667254 divided by 935566?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 2*s + 0*s + s - 11 - 6*s. Let o be h(8). Let u be 4 + o + 0 - 3. Is u greater than -5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 17*c**2 + 16*c + 11. Suppose -3*t = -5*p - 86, 8*p - 3*t - 42 = 11*p. Calculate h(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 4*y**2 + y - 2. Let p(s) = 1. Let n(b) = 4*p(b) + w(b). Let a(m) = -m - 1. Let v be a(-4). Calculate n(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 8) + 4 + 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1*y)**6*(y**(1\/4))**50*(y*y\/((y\/y**(4\/5))\/y)*y)\/y**(-3\/2)*(y*y\/y**(-1\/4))**(-31) assuming y is positive.\nAnswer: y**(-799\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f = -5*b + 2*f - 26, 0 = 5*b + f + 17 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 12*n**2 - 11*n - 11. Let o(m) = 17 - 9 + 4*m**2 - 4*m - 12. Determine -4*g(q) + 11*o(q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -863, 626, 4673, 12556, 25553?\n\"Answer: 213*l**3 + l**2 - 5*l - 1072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 30 = 3*t. Let d = -2 + t. Suppose -z + 6 = -d. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2369964860?\nAnswer: 2, 5, 6599, 17957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuzuzzuuzzuzzu. What is prob of sequence zu?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2796\/9 - (6 + 48\/(-9)). Let o = n - 310. Let o*c - 1\/5*c**2 + 4\/5 = 0. What is c?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17 + 1e?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 24. Let j = 7 - m. Suppose g + 2*g - 48 = j. Solve -g = c - 5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -22333322?\nAnswer: 22333323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - u**2 - u - 5. Suppose 7*q = 3*q. Give c(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.05, -0.4, -1, 0.08?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -3343.92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -4. Is 5 a factor of j\/(-18) - 122\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26882600 + 3\nAnswer: 26882603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -65.\nAnswer: -8\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/60*-2*(-10)\/(-36).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -622647, -622575, -622503, -622431?\nAnswer: -622359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -54*s**3 - 33*s**2 - 17*s + 31. Let u(k) = 19*k**3 + 11*k**2 + 6*k - 11. Give -6*o(d) - 17*u(d).\nAnswer: d**3 + 11*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 648*b**5\/5 + 14400*b**4 - 604366*b**3\/5 + 471966*b**2\/5 + 58086*b\/5 + 1666\/5 = 0?\nAnswer: -119, -1\/18, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 75 = -0*o. Let m = o + 26. Suppose -3*f + 111 = 4*j, 0 = -f - 17*j + 19*j + 17. Calculate the remainder when f is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/5 + (2 + -4 - -2732).\nAnswer: 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-272)\/132)\/(-1 - -2) and -2\/15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -233.229334 + -1.7204\nAnswer: -234.949734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 126*g**3 + 5*g**2 - 6*g - 2. Let v be u(3). Suppose -11*n = -v - 1930. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 46*b**2 - 589521488 + 589521488. Let l(x) = -12*x**2 + 4. Determine g(l(v)).\nAnswer: 6624*v**4 - 4416*v**2 + 736","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*l - 35456 + 36216 = 0 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-1 - 2 - -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.9825 + -1.0848. Round f to 2 dps.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 27\/5 of a tonne?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 0 - 3. Let x be 2\/2 - (n - -1). Suppose -2*g + x*g = 8. Calculate the lowest common multiple of 22 and g.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56 + -50. What is the lowest common multiple of t and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 1 + 4 = -b, 3*y = -b + 11. Suppose -4*v = 4*h + 10 - 26, 0 = 2*v + 5*h - 20. Suppose -5*j - c = -v*j, b*j - c = 0. Solve j = -5*z + 14 + 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - -0.1309.\nAnswer: 5.1309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4 = 4*y + 10, 0 = 3*k + 9. Which is the second smallest value? (a) y (b) 0 (c) 1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.4 - 1.2. Which is the third biggest value? (a) -0.4 (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10ec3 (base 16) to base 10\nAnswer: -69315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -177 + 249. Suppose -y - o + 28 = 0, -4*y + 3*o + n = -o. Let g = y + -12. Calculate the remainder when g is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-2 - -10 - 29)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -427822, -427821, -427820, -427819?\n\"Answer: k - 427823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/11693 - -11723\/175395. Let h(x) be the second derivative of -1\/10*x**2 - r*x**4 + 22*x + 1\/6*x**3 + 0. Factor h(f).\nAnswer: -(f - 1)*(4*f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 169*n - 1447. Determine s(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -422290, -844584, -1266878, -1689172?\n\"Answer: -422294*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 2\/3386053539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-166*l - 143*l + 106*l)*(-3 - 5*l + 4*l + 3*l).\nAnswer: -406*l**2 + 609*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -163 + 156. Which is the closest to -1? (a) 1 (b) g (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 19\/4 of a century?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 3:58 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4dc1 (base 16) to base 10\nAnswer: 19905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-82)\/148 - (-152)\/304?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 - (-1 + -9 - ((-47 - -28) + 22))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -11*x**2. Let a(k) be the second derivative of -5\/3*k**3 + 0*k**2 + 58*k + 0. Determine a(o(m)).\nAnswer: 110*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*g + 6968 = 6704 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -148877 + 148842 - (-1 + (-69 - -1))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -12*x - 6*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + s + 5*s**3 - 2*s**2 + 9*s**3. Does 7 divide c(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 10:01 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*h - 10 = 0, 17 = 3*d - 5*h - 0*h. Suppose -6*i + d*i = -42. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + sqrt(931)))**2 - (sqrt(931) + -1 - sqrt(931))*3.\nAnswer: -1008*sqrt(19) + 33663","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 123639 to the power of 1\/2, to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -56 (b) 4 (c) -0.6 (d) 6\/7 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.22834l in millilitres?\nAnswer: 1228.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 684 + 5377*b**2 - 1722*b**2 - 683 to the form j*b + f*b**2 + c and give f.\nAnswer: 3655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b1b1 + -3?\nAnswer: -b1b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - x**2 + 2*x + 59. What is the remainder when 468 is divided by q(0)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55 + 56. Suppose 5*s - 3*l + 11 - n = 0, -17 = -2*s - 3*l. Suppose 5*d = 16 - s. Is d at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/84063440 and -7\/21015860.\nAnswer: 84063440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 31090 rounded to the nearest one thousand?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 + 42 = 2*t. Suppose -t - 109 = -2*n. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -23*i**8\/42 - 97*i**4\/24 + 196*i**2. Find the second derivative of c(h) wrt h.\nAnswer: -3680*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 911017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5829575207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**3*r**2 - n**3*r*v**2 - 9*n**2*r**2*v + n*r**2*v + 2691*r**2*v**2 + 60*v wrt v.\nAnswer: -2*n**3*r + 5382*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(189\/(-45) - -5).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 921832493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1017437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 30 (b) 10 (c) -2 (d) -4 (e) -3\/7 (f) -15 (g) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 323.6 + -321.5. Which is the closest to -0.2? (a) z (b) 1 (c) 0 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 7:38 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4288804 and 1316.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 - 86*t + 47. Let b be s(35). Let g = 581 + b. Is g <= 68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -554.29*207.4\nAnswer: -114959.746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 - 30*c + 1. Let u be -13*(-2 + -5 + 8)*(-3 + 2). Give f(u).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 235683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00294605 rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3059*p**4 + 1083*p**2 - 166283*p + 17?\nAnswer: -36708*p**2 + 2166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39.092 - 39. Let y = -5.1299 - -5.17. Let a = r - y. What is a rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + -3 + (sqrt(75) - (1 + sqrt(75)) - sqrt(75)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 2.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-3 - -7) - (-24 + (6 - -5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 s, and 1 f when four letters picked without replacement from sffsshff?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.5 and -83896.\nAnswer: -83891.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11870172 and 18.\nAnswer: 11870172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**3 + 2*f**2 + 31*f. Let d(x) = -4*x**3 + 4*x**2 + 62*x. What is -4*d(u) + 9*r(u)?\nAnswer: -2*u**3 + 2*u**2 + 31*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = 2*c + 5*n, -5*c - 4*n - 189 = 191. Let b be c*(0 + (-2)\/(-5)). Let s = b + 45. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - -6)\/8 + -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (1*sqrt(55)*-1)\/(-1*(2*sqrt(5) + sqrt(5))))*5)**2.\nAnswer: -200*sqrt(11)\/3 + 3875\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16.95 + -11.95. Let v = -12 + 12.08. What is the nearest to v in c, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + k - 3*f - 105 = 0, 200 = 5*k + 5*f. Suppose 2*i = k + 47. What are the prime factors of i?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/9)\/l**(3\/5)*l*l\/(l\/(((l\/l**(-8\/7))\/l)\/l))*l*l\/(l*l*l**2) assuming l is positive.\nAnswer: l**(-494\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 194081 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -33*b**2. Let l(m) be the third derivative of 0*m**3 - 13 - m**2 + 0*m**4 - 1\/30*m**5 + 0*m. What is u(l(a))?\nAnswer: -132*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -16110000 rounded to the nearest 100000?\nAnswer: -16100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, 0, -3, 2 in decreasing order.\nAnswer: 6, 3, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 131.\nAnswer: -1\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 190*u + 11. Let r be p(-6). Let t = -2069 - r. Round t to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 15*t + 49*t + 1 - 3. Let q(k) = k**3 + 9*k**2 - 2*k - 10. Let j be q(-9). Let c be h(j). What is c rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4557 and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + t + 13 = g, g - 2*t = 9. Calculate the remainder when 12 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 477\/10, -9, -4\/3 in decreasing order.\nAnswer: 477\/10, -4\/3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + i - 44 = 0, 3*o - 8838 = 2*i - 8782 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(228)\/(sqrt(48)*-5) + -1 + sqrt(76) + 5)**2.\nAnswer: 76*sqrt(19)\/5 + 8759\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) -5 (c) 13\/9 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of r**6\/135 + r**5\/90 - r**4\/54 - r**3\/27 + 7*r. Factor d(y).\nAnswer: 2*y*(y - 1)*(y + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 18*r**2 - 26*r - 294. What are the prime factors of g(-18)?\nAnswer: 2, 3, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5583, 11108, 16633, 22158, 27683, 33208?\n\"Answer: 5525*b + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 36409, 72891, 109383, 145879, 182373?\n\"Answer: -i**3 + 11*i**2 + 36456*i - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 70\/25587 and 73\/16315977?\nAnswer: 48947931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.605928732 to 2 dps.\nAnswer: -0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -946.2 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/71, -0.1, 0.4, -2, -30\/37, -0.2, -6\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - t + 4083 = 0, t - 1635 = -228*n + 226*n. What are the prime factors of n?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0392 - 5.0392. Let c = 0.36 - -0.04. Let m = 0.092 - -1.908. What is the third smallest value in c, -2\/7, m, z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + 1 - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-5)\/(40300\/(-3875)*5\/12).\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -18773, -18769, -18761, -18743, -18709?\n\"Answer: w**3 - 4*w**2 + 9*w - 18779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -2*x**3 - 4*x + 3. Find the first derivative of y(l) wrt l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 0. List the prime factors of p*(1 + 1)\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -3\/5, 0.3, 57?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w*w*w**6)))**(-5\/2) assuming w is positive.\nAnswer: w**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005638355 rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -557*o**2 + 35407676508*o - 35407676508*o.\nAnswer: -557*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 7:58 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3446936 to the power of 1\/2, to the nearest integer?\nAnswer: 1857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 90264.92 centuries?\nAnswer: 902649.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2135, 2139, 2143?\nAnswer: 2147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 2. Suppose 15*a - 21 = 9. Let p be ((-2)\/((-3)\/3))\/2. Let l(x) = -2*x**2 + x**3 + 2*x**2 + p. Determine a*l(o) + j(o).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 9*x**2 - x + 13. Let t be h(9). Let n = 8 + -7. Sort -2, t, n in increasing order.\nAnswer: -2, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 2 = 4*k, 0 = -5*g + 4*k - 47 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 4 + 2 + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -133878870*a**2 - 434272*a - 18 wrt a?\nAnswer: -267757740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 224501795?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 29*o**3 - 53*o**2 + 8*o. Differentiate s(h) with respect to h.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/7 + 8*t\/7 + 24\/7.\nAnswer: -2*(t - 6)*(t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3481184 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 8810\nAnswer: -1\/8810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2036643?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-8943)\/1355)\/(-3*(-2)\/((-60)\/(-3)))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - l. Let o(w) = 10*w**3 + 2*w**2 + 6*w - 2. Calculate -6*k(v) - o(v).\nAnswer: -4*v**3 - 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-480)\/(-12) + 2\/903*-18053.\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h - 408. Let y(j) = j + 407. Let q(z) = 4*l(z) + 5*y(z). Let a be q(0). Suppose 3*r + 2*r - 98 = -g, -5*g + 4*r = -a. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-64)\/(-6) - 115\/69. Suppose -s*v = -30 + 12. Solve r - 4*r = 3*w - 9, -4*w - v*r = -4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 5*p**2 + 2. Let j be m(5). Suppose -6*x = -j*x - 132. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a - 3. Let b be f(-2). Suppose -3*y + 7 = -2*n, 10 = 6*y - y - b*n. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 276.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 z, and 2 q when four letters picked without replacement from {j: 2, e: 2, q: 2, z: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 7*f**2 - 7*f + 6. Let h be o(6). Suppose 0 = -h*q - 2*q + 10. Solve -2*j = -q*j + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -2*k - 128, 0 = 5*k - 3*s + 8*s + 315. Let z be ((-2)\/4 - 0)*k. Let c = -22 + z. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2107)\/(-252) - (-1)\/(-4)) + -8?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3031 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -1. Let a = 16473 + -16469. Solve -a*q + q + 9 = y*z, 0 = 5*z + 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wz when two letters picked without replacement from zzawz.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.042 in 0.2, -2\/13, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2993 + 2998. Let j(u) = 4*u**3 - u**2. Let o be j(-1). Put 13, h, o in increasing order.\nAnswer: o, h, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3200424 is divided by 1921?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**9\/16632 + p**8\/4620 + p**7\/4620 + p**3 - 6*p**2. Let d(z) be the first derivative of n(z). Factor d(j).\nAnswer: 2*j**3*(j + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by (82 - 84)\/(12\/(-1338))?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*f**4 - 32*f**3 + 8*f**2 + 116196*f.\nAnswer: 144*f**2 - 192*f + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 942873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -24, -28, -26, -18, -4, 16?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3\/2)*a**(-5)*((a**(-2\/17)\/a)\/a)\/a**(2\/3) assuming a is positive.\nAnswer: a**(-947\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/609 + (-3)\/7)\/(-2). Which is smaller: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -19 in descending order.\nAnswer: 4, 2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 12 - -3 - 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -24*r**3 - 2*r**2 + 1. Suppose 0 = 2*i + 4*y + 20, 2*i - 3*y = 2*y + 16. Let o be i*1\/(-2) + -2. Calculate the remainder when q(o) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aeea when four letters picked without replacement from {a: 11, b: 1, e: 7}?\nAnswer: 385\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**4 + 4*w**2 - 4*w**2)*(1 + 1 - 3)*(2*w - 4*w - 2*w)*(1 + 3 - 3).\nAnswer: -4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5*g + 40 = 0, -4*w - 4*g + 32 - 40 = 0. Solve p + w*p + 2*y - 6 = 0, 2*p + 2*y - 2 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26398 - 26396. Factor x*i + 1\/6*i**3 + i**2 + 4\/3.\nAnswer: (i + 2)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7731 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1900) + (sqrt(1900) + 0 + sqrt(1900) + sqrt(1900) + sqrt(1900) + sqrt(1900) - sqrt(1900))*5)*-2)**2.\nAnswer: 3351600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -4*a - 5*z, -2*a - 2*a = z - 84. Let b be (-36)\/(-10) + ((-8)\/a)\/(-1). Suppose -b*k + 150 = -22. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2191233.\nAnswer: 3, 11, 23, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t**3 + 7*t - 6. Let v(a) be the third derivative of a**6\/24 + a**4\/4 - 5*a**3\/6 - 90*a**2 - 1. Determine -6*v(y) + 5*z(y).\nAnswer: -5*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 224912.1 and 0.03.\nAnswer: 6747.363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (40\/60)\/(0 - 1)*-18. Suppose x - 3*x - 3*k = -357, 196 = x - 2*k. What is the highest common divisor of x and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a kilogram in grams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*z = b + 405, 0 = b - 2*z + 411. Let m = 602 + b. Is 24 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2510 or -2520?\nAnswer: -2520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2129, -2057, -1985, -1913, -1841, -1769?\n\"Answer: 72*z - 2201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1165\/4 - -3511\/12. Let w(u) be the second derivative of 0*u**2 + 0*u**4 - 7*u + 0 + 1\/5*u**5 - v*u**3. What is the second derivative of w(x) wrt x?\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 186720923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -31, -24, -13, 2, 21, 44, 71?\n\"Answer: 2*t**2 + t - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/10 + 7\/(-3). What is the closest to 5 in -2\/5, -1, q?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a (base 11) to base 2.\nAnswer: -1001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -10. Let j(b) = 3*b - 1. Let d be j(-1). Let i be (d\/1)\/((-70)\/5). Sort i, p, 1 in increasing order.\nAnswer: i, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-372)\/(-558) - (-628)\/3 and 42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -256.56 + 284. Let t = k + -28. Let z = t - -0.55999954. Round z to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*l**2 + 549*l**2 - 213*l**2 - 4 - 212*l**2 + 4.\nAnswer: -65*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -120, 2, 17, -4 in descending order.\nAnswer: 17, 2, -4, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(135\/72*-16*3\/(-18))\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5390368797 minus 0.6?\nAnswer: -5390368797.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1721 rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*k - 12, -3*k + 19 = 3*b + 4. Let z(r) = 0*r - 3 - 3*r + 0 + b*r. Determine z(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23597 - 26489 = 50*c + 547*c + 37*c for c.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-2))\/(((-10)\/(-40))\/((-13)\/(-2340)*-6)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 9. Suppose -y*x + 10*x = 34. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (18 - (0 - -6))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(5\/3)\/n**(2\/7)*n**(2\/25)*n*n**(-4) assuming n is positive.\nAnswer: n**(-808\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 7*a**2 - a + 21. Give x(-7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44199, -44188, -44163, -44118, -44047, -43944?\nAnswer: -43803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*y + 170 + 19 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2616, 4656, 6696, 8736, 10776?\nAnswer: 12816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 greater than or equal to -54547?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1079045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.15313 at least -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/3)\/(1\/7). Suppose -12*x + l*x = 0. Suppose -26*v - 6 - 40*v**2 + 3 - 1 + x = 0. What is v?\nAnswer: -2\/5, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i - 12. Let f be z(5). Suppose 5*g = 22 + f. Let o be g + 1 + 2\/1. Calculate the greatest common factor of o and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 369, 359, 343, 321?\n\"Answer: -3*u**2 - u + 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2103, -2099, -2093, -2085, -2075?\n\"Answer: w**2 + w - 2105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 3726608.\nAnswer: 3726605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.27 - -1.3. Let y = 3.97 - 4. Let q = w + y. What is the third smallest value in q, -0.2, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -383371\/20421 + -10\/2269. Let m = 19 + w. Which is the closest to -1? (a) 1 (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3049 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n**3 - 8*n**2 - 9*n - 4. Let a(p) be the first derivative of -p**4\/4 + p**3\/3 + p**2\/2 + p - 1. Let y(i) = 6*a(i) + r(i). Is 23 a factor of y(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**2\/3 - 1520*i\/3 - 288800\/3 = 0.\nAnswer: -380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 30533 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: Suppose -3*d = -5*o - 6, 2*d + o - 6*o - 4 = 0. Suppose f = -v + 3*f + 13, -4 = d*v + 2*f. Suppose v*u - 2584 = -l, 4*l - 939 = -3*u + 1630. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h + 21. Let o be g(5). Suppose 0 = o*v - 10*v + 20. Solve 2*x = -2*x + v*t - 32, -4*x + 3*t - 24 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70326.2+946250\nAnswer: 1016576.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 47.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + u - 12501 = 8823, 3*p = 3*u + 12798. What are the prime factors of p?\nAnswer: 5, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**7)\/o)\/o**6)**(-6\/7)*(o*o\/o**(-2\/7)*o*o)**(22\/9)\/(o\/(o**(-5)*o)*(o**4*o)\/o) assuming o is positive.\nAnswer: o**(13\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 496 + -491.22. Let r = 28.12 + -28. Let q = r + z. Round q to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1406 + 1411. Let i be 0\/1 + 2\/4. Which is the smallest value? (a) 2\/5 (b) -2\/17 (c) z (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 7 = -2*k. Let t = k - -11. Solve t*r - 2*r - 10 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 26080736\nAnswer: -52161472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, 0.6, 3 in ascending order.\nAnswer: 0.07, 0.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62415 by -4161.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14591016.\nAnswer: 2, 3, 11, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4*x - 24 = 0, 2*r + 5*x + 21 + 11 = 0. Let p(g) be the third derivative of -29\/6*g**3 + 2\/3*g**r + 28*g**2 + 0*g + 0. Differentiate p(h) wrt h.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 24 = -2*y + 68, 2*s - 22 = -y. Is 24 a factor of 1800\/y - 20\/(-110)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 32*s**2. Let c(g) = -2*g**2 - 4*g + 4. Let n(m) = 5*m**2 + 11*m - 11. Let t(r) = 11*c(r) + 4*n(r). Give h(t(q)).\nAnswer: 128*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -u**4\/2 + 4*u**3\/3 + u**2 - 4*u + 12. Factor y(n).\nAnswer: -2*(n - 2)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11)\/3 + (-3)\/9. Let y be (-4)\/(-3)*(-18)\/w. Let r be (-1)\/(-2) - (-61)\/2. Solve 4*p + 23 = -3*g - y, -r = 5*p + 2*g for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 325*m**3 - 52*m**2 - 52*m. Let s(h) = 31*h**3 - 5*h**2 - 5*h. What is -5*b(w) + 52*s(w)?\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -108, -97, -72, -27, 44, 147?\n\"Answer: j**3 + j**2 + j - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -57008*t**5 - 372*t**2 + 4.\nAnswer: -3420480*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 686, 2696, 5986, 10556?\n\"Answer: 640*v**2 + 90*v - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -65. Suppose w = 9*c - 6*c. What is the highest common divisor of c and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 11 = 5*x - 50, 0 = -2*b + x + 33. Calculate the remainder when 865 is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*g + 635 = -4*g + 187 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -2*z**7\/21 + 16*z**6\/15 + 32*z**5\/5 - 134*z**4\/3 + 290*z**3\/3 - 100*z**2 - 5623*z. Factor o(n).\nAnswer: -4*(n - 10)*(n - 1)**3*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 601972647 to the nearest integer?\nAnswer: 24535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*f**2 + 6*f**2 - 4*f**2)*(-2 + 0 - 1) + 3*f**2 - 4*f**2 + 3*f**2)*(-1102*f + 547*f + 3 + 470*f).\nAnswer: -425*f**3 + 15*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c = -35 - 13. Suppose 4*y = 2*k - 3*k - 7, c*k - 56 = 5*y. Solve -k*x + 18 = -0*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -5 - 0 - 6 - 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d + 0*d + 8*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 989 + -992. Sort 83, q, 4 in descending order.\nAnswer: 83, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*z + 4*p - p, -5*z + 3*p + 48 = 0. Suppose -f - 4346 = -a, -8*f + 17375 = 4*a - z*f. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (530\/(-75) - -5) + 5\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360216?\nAnswer: 2, 3, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 >= -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1\/7 (b) -0.5 (c) 0.6 (d) -82\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 4*s - 66488, -s + 3*x + 8394 = -8216. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 + 37. Suppose 0 = d - 2*x - 10, 0 = -2*x - 13 + q. Let u = -271\/10 + 27. Which is the third smallest value? (a) d (b) u (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3. Suppose -13 = -2*b + i, -2*b - 2*i + 27 = -1. Let t be 3\/b - 2\/(-12). Sort t, h, -6\/7.\nAnswer: -6\/7, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38.8 - -38.3. Let v be 3 + -6 + 0\/(-3) + 7. What is the fourth biggest value in v, 2\/3, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4656 + -4121. Which is greater: 3\/5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 1326*i = -1327*i - 17, 3*f + 3*i = -27 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 17. Let r be (3 - x)\/(-3) - -6. Suppose 70 = -r*y + 305. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/50*10\/8.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -84 divided by -28\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33178265 by -53.\nAnswer: -626005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -14*a - 108. Let x be f(-10). Put 4, x, 107 in ascending order.\nAnswer: 4, x, 107","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154.35731 rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iijjjiijjijjjijjjpj. What is prob of sequence iiji?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 + 40. What are the prime factors of c?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-10) - 2\/(560\/(-156)). Let b = 17\/21 + x. What is the common denominator of b and ((-93)\/(-6) - -2)\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 4*n + 16 = 0, -5*n + 8 = 20*r - 18*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 2496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/1 + 2100\/5. Suppose -5*h = 2*b - 102 - 99, j = 4*b - 5*h. Is 21 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3250198695 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/(-32)*(-16)\/(-18). Which is the second smallest value? (a) j (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 417, 603, 787, 969, 1149?\n\"Answer: -r**2 + 189*r + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -819.05 - -818.05. Let n = 165\/4 - 41. Let m = -39\/40 - -3\/8. Which is the closest to x? (a) n (b) 1\/3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78624498?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 5350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1245, 3846, 8297, 14598, 22749, 32750?\n\"Answer: 925*s**2 - 174*s + 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/(-12))\/((-15)\/(-34)). Let v = s - -8\/5. Which is smaller: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1038 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 851474394 divided by 6?\nAnswer: 141912399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 3. Suppose -4*n + 6*n = 6. Let f = -11\/4 + n. Which is the closest to f? (a) l (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -41*f**4 - 8*f**3 + 118. Let q(r) = 40*r**4 + 6*r**3 - 118. Let l(b) = 4*q(b) + 3*x(b). Differentiate l(p) with respect to p.\nAnswer: 148*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -19. Is y\/42 + 887\/7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 455009 and 1897?\nAnswer: 3185063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/2276926 and -65\/6?\nAnswer: 6830778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2375\/7 + 339. Which is bigger: p or -0.304?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/3*(-5)\/10*9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -9*g + 0 - 1\/12*g**4 - 1\/2*g**2 + 1\/3*g**3. Suppose 2*o = 4 + 4. Determine u(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77538 - -0.1?\nAnswer: -77537.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 11*q**2 - q + 30*q**2 - 4*q**3 + 8*q + 10*q**2 + 6 - 47*q**2. Let d(h) = 5*h**3 - 5*h**2 - 8*h - 7. Give -6*d(m) - 7*z(m).\nAnswer: -2*m**3 + 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 159281*a**3*s**2*u - 1635*a**3*s - 2*a**3*u - 18*s**3 + 473*s*u wrt s.\nAnswer: 318562*a**3*u - 108*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -93 * -12458.73\nAnswer: 1158661.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = -5*s - 3*t, -5747*s - 71 = -5750*s - 4*t for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 29*h = -26*h - 9, 0 = -2*l - 5*h + 26. Factor -1\/4*u + 1\/4*u**2 + 1\/4*u**l - 1\/4.\nAnswer: (u - 1)*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 33\/4. Let i = -401\/7 - -57. Suppose -9 = 5*n - 8*n. Which is the closest to u? (a) n (b) -0.5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 6. Let f be (-3)\/o*6\/(-9). List the prime factors of 1 + f*(-1 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -9*k**3 + 6*k**2 - 34*k - 12. Let q(y) = -2*y**3 + y**2 - 7*y - 2. Determine 2*l(u) - 11*q(u).\nAnswer: 4*u**3 + u**2 + 9*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11285841003398 - -1.\nAnswer: 11285841003399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.246404 rounded to one dp?\nAnswer: -36.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000015118 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1539*h = -1543*h - 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 x when three letters picked without replacement from xmmkxmmmkmkkmc?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 21 (b) 1 (c) 3\/7 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q + 103. Let j be o(-19). What is the greatest common divisor of j and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 take away 15.772?\nAnswer: -15.732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 4*d + d)*(-d**2 - 2*d**2 + 2*d**2) + (-2 - 2 + 5)*(-2*d**3 + 0*d**3 + 3*d**3) + (2*d**2 + 2*d**2 - 2*d**2)*(30*d - 11*d + 55*d).\nAnswer: 147*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 199144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91.2001259 + 91.2. Round f to six dps.\nAnswer: -0.000126","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 1, -203*i - 14945 = -4*v - 206*i. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 44*s**2 - 29*s + 84. Calculate the remainder when r(-44) is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6102 divided by -3?\nAnswer: 2034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5*p = 20, z + 2*p = -p - 14. Suppose -5*t - 4*i - z = 0, 3*i = -3*t - i - 7. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 + -44 - (0 + -1) - 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/7 + 364*z**2 - 5088*z\/7.\nAnswer: -2*z*(z - 1272)*(z - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 31*u**2 - 25*u - 1080. List the prime factors of j(41).\nAnswer: 5, 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(140) - sqrt(140))\/sqrt(10))\/((sqrt(280)\/sqrt(5))\/sqrt(8)).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.03 - -0.24. Let m = -9 + 9.2124. Let x = m - i. Round x to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 87*r**5 + 67*r**2 - 2*r - 599. Find the second derivative of l(p) wrt p.\nAnswer: 5220*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 30*z - 374. Let l be u(10). What is l rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 5:56 PM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (2*8\/100)\/((-6)\/(-40)*32\/12)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(2) + 2)*-4.\nAnswer: -16 - 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 10944*z - 120341. Determine y(11).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (4 - (-9 + -12)) - -7?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1288\/(-98) + 52\/4\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4392.986 centuries in millennia?\nAnswer: 439.2986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (17 + 24 - 86) + -72 + 6\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.37 and -26.43.\nAnswer: -26.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ettnxvuetvtnxv. Give prob of sequence xvt.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1802 by -158.\nAnswer: 901\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -386*d - 762. Give h(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**3\/10 - 308423*j**2\/10 + 4163301*j\/5 + 2775564 = 0.\nAnswer: -3, 30, 308396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 235153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 (base 16) in base 2?\nAnswer: 100100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = k - 271311. Let y = k + 166351. Suppose -8086 = -3*p + y. Round p to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32653 is divided by 8110?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 429122044.\nAnswer: 2, 13, 89, 92723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(136) + (sqrt(136) - sqrt(136)*1))*1)\/sqrt(8)*-5 + -5)*-3 + 3)*-4 + -4.\nAnswer: -60*sqrt(17) - 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + ((-3184)\/96 - 1)\/(30\/(-18)).\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/29551 and -24\/377?\nAnswer: 384163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4607391.3 from 838.\nAnswer: -4606553.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 13 = 28 + 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -18. Suppose -73 = 3*t + 2*w - 336, -u*w = 2*t - 182. Let y = t + -51. What is the highest common factor of 85 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/3*60\/40*104\/13.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 129 or 128?\nAnswer: 129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-3) - 14\/(-4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -219 + 232. Solve 9*l - 4 = a*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r - 5. What is b(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**4\/6 + 7*d**3\/3 + 8*d**2 - 5. Let r(f) = 3*f - 10. Let k(v) = -7*r(v) - 5*u(v). Let p(x) = -6*x - 5. Give k(p(c)).\nAnswer: 6*c + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43194 is divided by 786.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 - -36. Put -1, -5, r, 3 in descending order.\nAnswer: 3, -1, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(3*q + 0*q - q) + 2*q + 1 - 1 + 3*q - 3*q + 3*q + (-6 + 5 + 3)*(-5*q + 2*q + 4*q).\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -3*q - 14, 5*q - 2*l + 30 - 3 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of h**6\/120 - h**5\/40 + h**3\/12 - h**2\/8 + 4*h + 4. Let w(g) be the first derivative of d(g). Factor w(i).\nAnswer: (i - 1)**3*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y**2 - 5*y + 3. Suppose -4*u = -3*a - 14, -2*u + 20 = 12*a - 7*a. Let q(b) = 5 - 9 + 5 - b - b**2. Determine u*q(j) - l(j).\nAnswer: -j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -p**2*w + 3*p*w + 13*p - 20*w + 3 wrt p?\nAnswer: -2*p*w + 3*w + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3868 - -4561. Calculate the smallest common multiple of 21 and m.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 1)*2*-158. Let y = o + -2016. What is y rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/2)\/b)\/(b*b*b**(-3\/20)*b))**(-14\/5) assuming b is positive.\nAnswer: b**(469\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 17*u - 3. Let z be l(3). Suppose 2*d - z = -0*d. Suppose t = 4*t - d. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 100 = 7*w. Let x be w\/(-14) - (-2)\/4. Let i(q) = q**2 + 5*q - 2. Let h be i(-5). Is h at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ficfffccfnfccfix. What is prob of picking 1 i and 1 c?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/(-10) + 2\/10. Suppose b*r - 7 - 29 = 0. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/2955?\nAnswer: -1\/2955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - q = 3*d + 7, -5*d = -q + 5. Suppose -6*b + 16 = 2*b. Sort b, -2, q in decreasing order.\nAnswer: q, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1088 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5145 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/3648 and 151\/25369560?\nAnswer: 202956480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/5? (a) -0.19 (b) -7 (c) -0.084 (d) 1 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-11)*g*(g\/(g**(-8)*g))\/g)\/(g\/g**37*g**(-3\/5)*g*g))**(-21) assuming g is positive.\nAnswer: g**(-3318\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14123 is divided by 159?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 57712961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 4473\nAnswer: -2\/4473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 - 163 - 20*a**3 + 115.\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/2))**26\/(o**1)**(1\/12))**33 assuming o is positive.\nAnswer: o**(-1727\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9392.\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2875.06 + -2862.8. Round y to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 1)*1\/1. Let c = 128 + -306. Let k = c + 1241\/7. Is s at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + x + 3. Let o be v(-3). Let u = o - -14. Suppose -u*t = -3*t. Solve n + t + 4 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23ad3 (base 16) to base 5\nAnswer: 14134011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2422*o**2 + 128372*o + 318 = 0?\nAnswer: -53, -3\/1211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -13. Suppose y*d + 6 = 5*d. Let v be (-6)\/5 + 1\/5. Let w(l) = 4*l**3 - 2*l**2 - 2*l + 3. Let b(i) = i**3 - i + 1. Calculate d*b(z) + v*w(z).\nAnswer: -2*z**3 + 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/93 (b) -2\/17 (c) -3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k**2 + 3*k + 5 + 2*k - 9. Let w(y) = y**2 - y + 1. Let f(u) = -2*d(u) - 6*w(u). Factor f(x).\nAnswer: 2*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + 4133416?\nAnswer: 4133424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34693874?\nAnswer: 2, 17346937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3\/5, 5, -77?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 316 + 240660?\nAnswer: 241306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -8 - 5 - (-18 - -10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76246068.\nAnswer: 2, 3, 1747, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 4508733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0713176 and -4.\nAnswer: 0.2852704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 370154221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**4\/24 - f**3\/6 + 2*f**2. Let a be k(-4). Let l be 28\/6 - (-1)\/a. Solve u + t - 8 = -3*u, 0 = l*u + t - 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*m*m**(-24)*m*m\/(m*m**(-5\/12))*m assuming m is positive.\nAnswer: m**(-223\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7787930*l**2*q**2 + l**2*q + 63590546*l**2*y + 2*l*q**2*y wrt y?\nAnswer: 63590546*l**2 + 2*l*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**8\/20160 - y**7\/5040 + y**6\/240 - 2*y**5\/15 - 17*y**2. Let x(u) be the third derivative of l(u). Determine x(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2*(-24)\/22. Let h = -1149 + 1153. What is the closest to 1 in h, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 0*j**3 + 7\/2*j**2 - 7\/24*j**4 + 0*j + 17. Let f(a) be the second derivative of z(a). Let b(n) = -6*n. What is f(b(g))?\nAnswer: 42*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1091633 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**2 + 6*c - 7. Let o(p) = -4*p**2 + 13*p - 15. Let t = 55 - 79. Let w be 8\/(-16)*t\/(-2). Calculate w*o(m) + 13*s(m).\nAnswer: -2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30400 + 30419. What is the second biggest value in 0.01, 0, -2\/29, u?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 66*q**2 + q + 2. Let j(z) = -67*z**2 - z - 2. Calculate -5*j(b) - 4*n(b).\nAnswer: 71*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 6) to base 9.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -22. Let i = 0.1 - k. Let z = i + 0.902. Round z to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 42*v + 363. Let r be u(30). Suppose -2*o = r*g - 79755 + 7172, 5*g = 4*o + 121001. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0777 - 2007.9223. Let m = d + 2008.0002358. What is m rounded to 5 decimal places?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35\/21941494 or 0?\nAnswer: -35\/21941494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -87 + 606\/7. Let f = -8\/35 - m. Calculate the common denominator of -73\/40 and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -18 - 30*i + 29*i + 20*i**2 - 4 + 6*i**3 - 5*i**3. Let c be z(-20). Which is greater: c or -7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3\/2)\/k)\/k**(-5\/3)*k**1\/(k*k*k\/k**(1\/3)*k*k))\/(k**(3\/5)\/(k**0*k))**(-36) assuming k is positive.\nAnswer: k**(-189\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 6957162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 9:51 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 792 + 1085 - 287 + 1650 - 2*j - 713 to the form w*j + l and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21 - 1 - 20\/5. Calculate the remainder when 8\/(-3)*(-840)\/t is divided by 152\/12 + (-3)\/(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 253 (b) 0 (c) -72.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ut when two letters picked without replacement from tttttttu?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 37*-853.1\nAnswer: -31564.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -1.9, -16?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen fifths of a decade?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-1 + (-177)\/(-178)). Let j = l + -168. What is the greatest common divisor of j and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 d when two letters picked without replacement from dpppdpdppp.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -k**4\/4 - 2*k**3\/3 + 2*k**2 + 6*k + 173. Give v(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 14*z**2 - 14*z + 15. Let v be q(15). Calculate the greatest common factor of 270 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4895*c**5 + 34440*c**4 - 145625*c**3 + 14330*c**2 + 196500*c + 7000 = 0. What is c?\nAnswer: -10, -1, -35\/979, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 - 2*n. Let f be c(-2). Let a = 7 - f. Let o = -1548 + 1636. Calculate the highest common divisor of a and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*x**6 + 3*x**5 + 15*x**4 - 658*x**2 - 4 wrt x.\nAnswer: -240*x**3 + 180*x**2 + 360*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*p - 22. Let t = 68 - 125. Let f = -67 - t. Which is smaller: p or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/952170 and -13\/34.\nAnswer: 952170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**2 - z**2 - 2*z**3 + (4*z + 0*z - 3*z)*(10 - 2*z**2 - 10) + (-z**2 + 3*z - 3*z)*(-2*z - 5 + 5).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 6995 = -4*m, 2816 = -91*o + 93*o + 2*m. What are the prime factors of o?\nAnswer: 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*u**4\/5 + 175332*u**3\/5 - 1707616728*u**2\/5 + 1108129041264*u + 22189913915712\/5.\nAnswer: -6*(u - 9742)**3*(u + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**2\/7 - 48444*l\/7 - 21208192\/7 = 0. What is l?\nAnswer: -23776, -446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 620 + -631. Let n(d) = 9*d**3 - 2*d**2 - 11*d + 11. Let i(o) = 3*o**3 - o**2 - 4*o + 4. Determine a*i(m) + 4*n(m).\nAnswer: 3*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 d when four letters picked without replacement from {p: 2, d: 16}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, -41, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -1 + 3. Let v = -2 - m. Let b = 1\/27 - 59\/135. Which is smaller: b or v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = p - 17, 0*y + 3*y = 5*p - 111. Let r be 315\/(9 + -4) + -3. Let j = r - p. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 77 = 13*x. Let n(l) = 5*l**2. Let y(c) = 2*c**2. Determine x*y(s) + 2*n(s).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-50)\/(-11))\/(1*19\/(-836))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 2*m - 8, -5*z + 4*m = 13 + 3. Suppose -7*s + 2*s - 115 = z. Let n = 44 + s. Is n a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*w - 26304 = -687*w - 20 + 17866 for w.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1985626423?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.4075135 rounded to 2 dps?\nAnswer: 7.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpzuzlllj. Give prob of picking 1 l and 1 z.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (197 - (-115 + 220))\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 - 106.8. Let v = g - -42.8. Sort v, -0.1, -2\/3.\nAnswer: v, -2\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4707*i**2 - 8110*i wrt i?\nAnswer: 9414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1777 - 345?\nAnswer: -2344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 428023621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - s = s + 114, d + 4*s + 38 = 0. Suppose -2*r - 242 = 3*g, 4*r = 4*g - 3*g - 512. Let h = d - r. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*2\/7*(-742)\/(-212)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/((o\/(o\/(o\/(o\/(o*o\/(o\/((o\/o**(-42))\/o)))))))\/o)*o**40*(o*o**(-16\/3))\/(o**(-2\/89)\/o) assuming o is positive.\nAnswer: o**(-884\/267)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1.9 times 0.08\nAnswer: 0.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4337 + 1621 + 8466)*(2*j - j - 3*j) as y*j + d and give y.\nAnswer: -11500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/280 and -89\/2240.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l + 75*w - 60 = 78*w, -l + 4*w = -12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4819 - 4740. Does 5 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/3)*d**(-1\/4))\/(d**5\/d**2) assuming d is positive.\nAnswer: d**(-47\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 52773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1965423, -3930819, -5896215, -7861611, -9827007?\n\"Answer: -1965396*r - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -22. Suppose -4*c - 4*m + 39 = -3*c, 2*c = -2*m + 96. Calculate the remainder when c is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -1. Let a = 23 + -20. Differentiate -3 + 7*v + a + 10 - m wrt v.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/475 (b) 0.3 (c) -3.203\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -3*h**2\/7 - 12870*h\/7 - 1135464 = 0.\nAnswer: -3542, -748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 + 38. Suppose 0 = -d + 3*d - 5*j + 78, 2*j = -d - 39. What is the remainder when (-40)\/(-15)*d\/(-4) is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.12 - -0.92. What is the biggest value in 4\/3, o, -2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*f**5*p + 6*f**4*p**2 - 7*f - 2*p**2 wrt f?\nAnswer: -160*f**3*p + 72*f**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 20 = 4. Let j = z + 25. List the prime factors of j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 8 = -6*i. Let g = -86425\/9 - -9603. Find k such that -32\/9 - g*k**i - 16\/9*k = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48244, -48320, -48448, -48628, -48860, -49144?\nAnswer: -49480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 68.41406 and -69.\nAnswer: -4720.57014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 1 (c) -1.4 (d) 3\/26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.73 - -0.33. Which is the nearest to -2? (a) m (b) 0.3 (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 154*r**3 + 41?\nAnswer: 462*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = p + 41 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 2\/8598435?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0.2 (c) -205\/2 (d) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 14, -1\/3, -0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - a. Let k be b(-1). Suppose k*r = -r + 3. What are the prime factors of r\/(-1)*(-16)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 3)*(-3*u**4 + 5*u**4 + u**4) + 12*u**4 + u**4 + 13*u**4 - 24*u + 24*u + 3*u**4 to m*u**2 + s*u + p*u**3 + i*u**4 + o and give i.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.06 and 8.017.\nAnswer: 8.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide (-1 - 1 - (-10 + 7))*192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22127 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -8*o + 128. Let r(l) = 2*l**2 + 6*l + 2. What is the remainder when z(10) is divided by r(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/20*15\/(-9). Let f(y) be the third derivative of -y**5\/30 - y**4\/24 - y**3\/3 + 15*y**2. Calculate f(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) 0.41 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5341 + -5342. Which is smaller: j or 1235?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**8\/252 + p**7\/63 - p**6\/45 - 11*p**5\/90 + p**4\/9 + 4*p**3\/9 - 65*p**2. Suppose o(h) = 0. What is h?\nAnswer: -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 k when three letters picked without replacement from {k: 2, q: 10, z: 2, l: 6}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 413678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 54676961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -1053282*t**2. Let m(j) = 3*j**2. Give m(r(b)).\nAnswer: 3328208914572*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 108949588207 less than -8.7?\nAnswer: -108949588215.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -12 + 20*o - 4 + 16 - 16*o. Let t(p) = 2*p + 244. Give y(t(q)).\nAnswer: 8*q + 976","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2455520 + -0.5.\nAnswer: 2455519.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10738489945340*m + 10738489945340*m - 21*m**2.\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 34, 5, 1, -3, 0 in increasing order.\nAnswer: -4, -3, 0, 1, 3, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(((k*k\/(((k\/k**9)\/k)\/k))\/k)\/k))**(-16\/3)*(k**(1\/2)*k)**(-22) assuming k is positive.\nAnswer: k**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f - 3. Let t(l) = -l**2 + 9*l - 17. Let q be t(7). Determine n(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -1. Suppose -4*v = -28, 2*v = -34*o + 35*o + 14. Put f, 5, o, -4 in ascending order.\nAnswer: -4, o, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3478388228 + -0.14.\nAnswer: 3478388227.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5103)*-1)**2 + 1.\nAnswer: 5104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5*i. Let j(m) = -m. Let g(c) = 63*c. Let k(t) = g(t) + 36*j(t). Give k(q(s)).\nAnswer: -135*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - 25 - (19 - (-3 + -3 - -3)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 12:31 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13563?\nAnswer: 3, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.293865 rounded to three decimal places?\nAnswer: 0.294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v. Let x(d) = -227*d**2 - 6*d + 3800. Determine x(p(k)).\nAnswer: -227*k**2 - 6*k + 3800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -2553.\nAnswer: -1\/851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.416853.\nAnswer: 1.667412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 129531434 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/14 + 38571\/301. Suppose -4*u = -5*z - 88, 10*u - 5*u - 2*z - l = 0. Solve 0 = 5*d + u - 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 768937 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 hundreds digit of 732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 7*i**2 + 44 - 8*i**2 - 26 + 12*i - i**2. Let c be p(7). What is the highest common divisor of c and 116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*a - 183 = -44*a. Let q = a - 55. Let c(g) = g**2 - 1. Let r be c(-5). Calculate the highest common divisor of q and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 1 = -3*g - 10, g + 2 = 0. Let x(q) = -4*q + q**3 + 5*q + 0 + 4*q**3 - j - q**2. Let r be x(1). Solve -r*b + 6 = 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1423 = -51*i - 4289. Let x be ((-320)\/i)\/(46\/14 - 3). Let y = 17 - 7. What is the highest common factor of x and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5619.85 + 5482.8256. Let p = o - -137. Round p to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 53859558*l**3 + 41193548*l wrt l?\nAnswer: 323157348*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + q + 4. Let i be l(0). Suppose -i*w + 3*v = 13, 4*w - 7*w - v = 0. Let j = 4\/43 - -19\/258. Is j at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.425015 to two dps.\nAnswer: -2.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 56905736?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 0*u - 5*u**2 + 0 + u**3 - 1\/8*u**4. Give k(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69)\/3 - (-324 + 265)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47607126 by -7934521.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 8:23 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**5\/2 + 562*r**4 - 8904*r**3 + 44384*r**2 - 70912*r = 0 for r.\nAnswer: 0, 4, 8, 1108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*h + 2 = -174*h + 4*p, -h + 5*p + 12 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4)\/(-9) + (-9)\/(810\/(-129200))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 5. Let s be w(3). Let y(o) = 10*o**3 - 2*o + 3. Is y(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -6*r - 1. Let s(z) be the second derivative of -z**3\/6 - 73*z. What is q(s(k))?\nAnswer: 6*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97734 is divided by 1303?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -667, -1419, -2525, -3991, -5823?\nAnswer: -8027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.84 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0527 in 3, 5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-3\/4)*w))\/((w*w**(3\/22)\/w)\/w))\/((w*w\/(w*(w*w*w*w**(-4\/11)*w*w*w)\/w*w))\/w**23) assuming w is positive.\nAnswer: w**(117\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(-4)\/7*876\/(-1168).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**3 + 4*f**2 + f - 2. Let u be k(-3). Let r = u - -72. Suppose -m + 4*m = -b - 4, 2*m + 32 = 3*b. Calculate the remainder when r is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*l**2*m**3 - 5*l**2*m + l*m**3 - 350*m**3 with respect to l.\nAnswer: -38*l*m**3 - 10*l*m + m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -649, -2, -3, 0.2, 13\/4 in decreasing order.\nAnswer: 13\/4, 0.2, -2, -3, -649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2583185?\nAnswer: 5, 11, 67, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5*w = 13, -3*v + 0 = -w - 7. Suppose -7*p + 476 = -v*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -5. Let q(s) = -1. Let c(a) = -2*a**3 - 5*a**2 - 2*a - 2. Let z(k) = c(k) - 2*q(k). Let g be z(-3). Solve r*x + x = -g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150697 is divided by 63?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-20))**23*t\/(t\/(t*(t\/t**(-8)*t*t*t)\/t))*t*t*(t\/t**30)\/t*t)**(4\/23) assuming t is positive.\nAnswer: t**(-1808\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 34, 82, 164, 292?\nAnswer: 478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 26 = 4*p, 2*g = -53*p + 54*p + 11. What is the closest to 2\/15 in -0.2, g, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 78096 + 7?\nAnswer: 7809d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/27 and -19\/2159652?\nAnswer: 19436868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -938 + 936. Which is the smallest value? (a) 103 (b) 1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15*(17 - 988\/65). What is the greatest common divisor of 49 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1199 and 2636601.\nAnswer: 2636601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/2679 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1155 divided by 12.\nAnswer: 385\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1935 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.318 millilitres in litres?\nAnswer: 0.056318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(171)*2 + 4))**2.\nAnswer: 48*sqrt(19) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400 is divided by 123?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 6*a**2 + 3*a - 10. Let k = 49 + -43. What is the smallest common multiple of k and x(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19305 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 10:18 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1275613 + -13?\nAnswer: 1275600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 8, 3, 2 in descending order.\nAnswer: 8, 3, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.9176 + -0.8176. What is the closest to -2\/5 in t, 19, 14, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 0 = -25. Let n(l) = -l - 2. Let x(k) = k**2 + 9*k + 6. Let y(h) = 6*n(h) + x(h). Let t be y(i). Solve 2*r + 3*w + 10 = 0, -1 = -r - w - t for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 601*c + 619*c + 56120 for c.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 172*a**3 - 2*a**2 - 25*a + 259. Is u(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -0*w - 284. Let q be 1*12\/(-18) - w\/(-84). Which is greater: -2 or q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*r - 2570, -1173 = -2*r + 5*y - 124. What is the lowest common multiple of 384 and r?\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, 411, 0.2, -2\/7, 0.4, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*u + 4654 = g, -u = -3*g + 7002. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(11\/22 + 3\/(-4))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2572118*i**2 - 301*i + 5429.\nAnswer: 5144236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 5*h + 21 = -4*h, 0 = -118*p + 120*p + 3*h - 31 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5289513 is divided by 402.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/90 and -119\/56544.\nAnswer: 848160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -6 (c) -1\/6 (d) 2\/109 (e) -7\/3 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mw when two letters picked without replacement from {f: 2, t: 2, z: 4, h: 1, w: 1, m: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*j - 14. Let r(x) = -x**3 - 3*x**2 + 6*x + 5. Let c be r(j). What is t in 0*t - c*t**2 + t + 23*t**2 + t**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-9)*(((r*r\/(r**(-2\/5)\/r))\/r)\/r)\/r*r\/r**(-3\/2)*((r*r*r**(3\/7))\/r)\/r)**(-1\/19) assuming r is positive.\nAnswer: r**(397\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 34*t + 25. Is m(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4 + k + 0*k - 5*k. Let i be h(4). Suppose -22*c + 19*c + 3*n - 42 = 0, -2*n - 12 = 0. Is c at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 254098, 253758, 253418, 253078, 252738, 252398?\nAnswer: 252058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3*k - 3, -k + 6 + 10 = -4*n. Suppose 0 = 3*s - 8 - 25. Calculate the lowest common multiple of k and s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -492.7566014 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-57)\/(-12) - 3)*4. Solve x - 2 = -s for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 + -0.32. Suppose 22*g - 28*g = -1464. Let c = g + -2686\/11. What is the nearest to 0 in -6\/17, c, v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h - 1. Let x be f(3). Suppose 369 = -x*q + 5*q. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*c**2 - 33*c**2 - 19*c**2 + 76*c**2.\nAnswer: 121*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*t**4 - 10078*t + 3184 + 4913*t + 5016*t with respect to t.\nAnswer: 20*t**3 - 149","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1361489*l**2 + 17402*l + 6 wrt l.\nAnswer: -2722978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*g**2*i**3 + 2*g**2*i + 13*g*i**2 - 3*g + 7*i**3 + 447*i**2 - 2*i + 73770 wrt i.\nAnswer: -42*g**2*i + 26*g + 42*i + 894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 + (2210 - 14\/7) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.77 + 3.77. Let k = -1 - -4. Which is greater: g or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*o**3 + 30*o**3 - 49*o**3 + 10*o**2 - 2*o**2.\nAnswer: 4*o**3 + 8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/72 and 73\/274.\nAnswer: 9864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/64)\/((-5)\/90*2*-3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 h, and 1 b when three letters picked without replacement from {i: 2, h: 1, e: 1, b: 1, s: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/15*-3*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (39*3\/12)\/(141\/(-94))\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82\/3690*-63*(-30)\/(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*w - 4*d, 4*w - 6*d = -7*d + 32. Solve -w*v + 73 = 37 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -1.96. Let u = l - -0.44. Let w be (6\/15)\/(42\/35). Which is the closest to -1? (a) 3 (b) w (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 35*n + 78. Let x be q(35). Suppose -36*k + x = 3*k. Solve z = 3*z + k for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t**5 - 91909*t**4 - 9*t**2 + 3861626*t?\nAnswer: -20*t**3 - 1102908*t**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -24, -50, -78, -108, -140, -174, -210?\n\"Answer: -n**2 - 23*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of 0*b**3 - 1\/24*b**4 + 0*b + 2*b**2 + 0. Let v(m) be the second derivative of -7*m**4\/12 - m. Calculate v(r(q)).\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1796, 1813, 1846, 1901, 1984, 2101, 2258, 2461?\nAnswer: 2716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 440672 by 27542.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-8) - 23\/(-8). Let w be (0\/(-1))\/y + -12. Let l = w + 32. Solve -a + 24 = -4*u, -l = 3*u - 5*a + 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9900\/125*710\/3.\nAnswer: 2, 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b - 9. Let l(n) = -n - 8. Let g(t) = -4*c(t) + 3*l(t). Let o be g(-8). Suppose o*h - 56 - 28 = 0. What is the remainder when h is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-76)\/4)\/(-133))\/(81\/(-441)).\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12111539.\nAnswer: 11, 809, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 11, k: 2}?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4595263009 to the nearest integer?\nAnswer: 67788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.62 + -1.68. Let q = 7.299971 + p. What is q rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - 2555\/63) + (-8)\/18?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/3 - (1 - -8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 70*u + 158. Determine i(-5).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3079 + 197*s**3 + 2724 - 3*s**3 with respect to s.\nAnswer: 582*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24476000 to the nearest 10000.\nAnswer: 24480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 3*n - 9, 4*n = 4*f - 3 - 9. Let t be (30\/20)\/(4\/(-8)). Put f, 5, t in increasing order.\nAnswer: t, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 2*l - 31, 4*a - 107*l - 43 = -108*l for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1514.80892 rounded to 1 decimal place?\nAnswer: -1514.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 3*r + 9. Let l be p(5). Let d be (-3)\/l + 0*4\/8. Suppose 2*j = s + 25, -d*j + s = 18 - 55. Calculate the highest common factor of 4 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -317\/261763?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 1. Let x(h) = 4*h - 5. Let c(r) be the third derivative of -r**4\/8 + 2*r**3\/3 + r**2. Let p(n) = -3*c(n) - 2*x(n). What is p(w) + v(w)?\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -102\/11 and 1.546 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*t**4 + 27*t**3 - 2*t**2 - 493*t + 3371403 wrt t?\nAnswer: -8*t**3 + 81*t**2 - 4*t - 493","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 983 = 146*y - 331. Suppose -x + 5 = -10. Solve 0 = -2*g - 5*r - y, -g + 3*r = -r - x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/30679 and 52\/99?\nAnswer: 276111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -20*h**2 - 76*h - 48 = 0.\nAnswer: -3, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -36*g**2 + 5*g**2 + 11*g**2 + 9*g**2 - g + 10*g**2. Let h(t) = 7*t**2 + 5*t - 4. What is -h(s) - 4*o(s)?\nAnswer: -3*s**2 - s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2356, 1, -512, 4, 5, 2 in ascending order.\nAnswer: -2356, -512, 1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w = 143 - 58 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 704 = 47*u + 939. Sort -529, -4, u in decreasing order.\nAnswer: -4, u, -529","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3209, 6827, 10883, 15377, 20309, 25679?\n\"Answer: 219*y**2 + 2961*y + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**5\/4 + 5*j**4\/2 = 0. What is j?\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 0, -12, -3 in descending order.\nAnswer: 15, 0, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**4\/4 - 2*p + 48. Give y(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9397 is divided by 9376?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (66\/(-70) + 1)*-5. Let w = 288 - 162. Let n = w - 2269\/18. Which is smaller: n or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3975090.5 times 0.1\nAnswer: -397509.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 79360084*s**2 - 90799919?\nAnswer: 158720168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*n - 78 - 532 - 64 + 674.\nAnswer: -118*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/82920 and 33\/470?\nAnswer: 3897240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -8*v**3 + 3*v + 3. Let p(f) = -268*f + 153*f + 35 + 150*f - 95*f**3. What is 35*g(j) - 3*p(j)?\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.1 + -11. Let n = -0.166 - -3.836. Let p = n - 0.67. Sort p, -23, b in descending order.\nAnswer: p, b, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-5) - 135\/(-30)*(-3)\/45.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 836 + 507 = -4*r, -2*r - 3*r - 580 = -9*a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 3 - (3 + 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - u**4 + 68*u**3 - 4 - 6 + 25 + 8*u - u**2 as i*u**2 + m*u**4 + r + n*u**3 + s*u and give n.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -665 = 4*b - 9*b. Suppose b = 7*d - 4*d + 5*j, -3*d - 4*j + 134 = 0. Is 23 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 1006*x + 24768. Give j(-24).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 475, 1208, 1947, 2692, 3443, 4200?\nAnswer: 4963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -65*a + 3. Suppose 0 = -z - 2 - 2. Is h(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254759*u + 254805*u - 1012 = 0 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -23. Let m = -9 + w. Suppose 4*o - v - 1208523 = -248525, -3*v = -m*o + 959994. What is o rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.08 smaller than -387941?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -w**6\/15 - 5*w**2 - 10*w. What is the derivative of g(j) wrt j?\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 758 is divided by 127.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - i. Let r(t) be the third derivative of 7*t**6\/120 + t**4\/6 - t**3\/6 + 21*t**2. Calculate 6*p(n) + r(n).\nAnswer: n**3 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9694a7 - 115?\nAnswer: 969392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from thhrhvkhtttrvthvtr. Give prob of sequence ttrr.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*q = 25, -o + 2*o + 3*q - 17 = 0. What is the second derivative of -6*y + o*y**2 - 1 + 21*y**2 + 0*y wrt y?\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160612 is divided by 150.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 7, 20, 39, 64?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17640 is divided by 8811?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u + 3*u - 5*u + u + u + 0*u - 3*u - 2*u + 3*u + (0*u + 2*u - 3*u)*(-2 + 4 - 3) + u - 6*u + 3*u in the form b + a*u and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 11*h**2 - 8*h - 14. Is 48 a factor of b(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 - -74. Is 26\/3 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 4*o = 24, 2*i - 6*i - 25 = -3*o for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7188763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-15))\/((-10)\/(-10))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -h + m - 2, 3 = -3*m. Let t be h*2 - 0\/(-2). Let x = t - 0. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.051 - 0.0153. Let k = b + -0.035700283. What is k rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 i when three letters picked without replacement from {i: 4, n: 5, l: 2, z: 2}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 6:01 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1411*17.\nAnswer: 23987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -26126824.2 to the nearest one million.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 5*o - 8 - 2, o + 3 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 7\/(-2)*-1)\/((-57)\/114)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 4*o + 14. Let u be m(-6). Let c(l) = 1 + 7*l - 3 + u. Let i(q) = q**2. Determine c(i(s)).\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 331584 = 2*n, -4*n = t - n + 66310. Let a be t*(-19)\/(-14) - (-8)\/28. What is a rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/5)\/z**(-7))\/((z**3*z)\/z)**(-6\/11) assuming z is positive.\nAnswer: z**(453\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*f + 42 - 118 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*x + 30*x + u = -20*x - 47, -6*u = 2*x + 266 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59 - -65. Calculate the least common multiple of g and 115.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 96*s.\nAnswer: 2*s*(s + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - -4 - (29 + (-20 - -5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 5\/4 (b) -4\/363 (c) -349 (d) -18 (e) 0 (f) -0.1 (g) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2253 - 135?\nAnswer: -2432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108 + -2. What is the remainder when g is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 21*a**2 - 21*a + 25. Suppose 0 = 2*b + 5*g - g - 24, -12 = 3*g. Let h be m(b). Solve 2*q + 5*c = 2 - 0, -2*c - h = -5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 180525*j. Let v(q) = -4*q. What is l(v(m))?\nAnswer: -722100*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2944960?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 120990088567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*3\/(-6)*-8 + 2. Calculate the common denominator of (-1)\/(-6)*(-73)\/(-2) and 4\/f - ((-12355)\/(-1078) - 11).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a8d1 (base 14) to base 6\nAnswer: 1240555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21980160 by -17280.\nAnswer: 1272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 7:05 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6146556.\nAnswer: 2, 3, 13, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 67?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 763, -1, 1\/10, -90?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15351 - -15362. What is the greatest common divisor of w and 46?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 496564620 by 4355830.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 59\/3*o**6 + 0*o**2 + 4*o + 2*o**3 + 57 + 0*o**4 + 0*o**5. Find the third derivative of m(u) wrt u.\nAnswer: 7080*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -6381\/46, -3, 7 in decreasing order.\nAnswer: 7, 3\/7, -3, -6381\/46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -3*f**5 - 29*f**4\/3 - 8*f**3 - 4*f**2\/3 = 0.\nAnswer: -2, -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1583 is divided by 69?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1680368, 1680374, 1680384, 1680398, 1680416, 1680438?\nAnswer: 1680464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 3. Let m be v(0). Suppose m*l = 5*l + 10. Let x(k) = -k + 9. Let t(c) = -6*c + 44. Let y(p) = 2*t(p) - 11*x(p). Give y(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 0 + -10 + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2009 or -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 510931*r**2 - 390806*r wrt r?\nAnswer: 1021862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8627075 divided by 9575.\nAnswer: 901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4983.4 + 4983. Sort -1, 3, x, 1\/3.\nAnswer: -1, x, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 6:07 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 151183\/12 + -12607. Let n = 8727\/5 + -1893758\/1085. Let k = 4558\/1085 - n. Calculate the common denominator of k and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**2 + 9*q + 6. Let y be a(-5). Suppose 2*g = 3*d - y - 3, 5*d = 3*g + 66. Is 14 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -510 = -21*b - 9*b. Suppose q = -b*q + 126. Let a be 136\/14 - 10\/(-35). Solve -j - q = 5*v, 0 = -j + 6*j + a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/5)\/c**(-1)*(c\/((c\/(c*c**(-1\/3)))\/c*c))**(-15\/8))\/((c**(3\/8)\/c)\/((c*c*c\/((c\/(c\/c**(2\/11))*c*c)\/c))\/c))**(5\/6) assuming c is positive.\nAnswer: c**(1987\/2640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -3337.6 to the nearest 100.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (10 + -11 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19281614?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + (-3 - 5))\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8118, -12458, -19694, -29826?\n\"Answer: -1448*m**2 + 4*m - 6674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348*q + 25*q + 233*q - 31290 = -139*q. Suppose 3*c + 169 = 547. Calculate the least common multiple of c and q.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 a factor of 482213364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 16*u**3 - 13*u**2 + 56*u - 2. What is the units digit of o(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -49620?\nAnswer: 49623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 76 = 28. Let t = -69 + 37. Let m = 45 + t. What is the highest common factor of v and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**3\/3 - 37249*s**2\/3 - 37246*s = 0 for s.\nAnswer: -37246, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y + y + 4*y)*(18 + 11 - 6) as q*y + h and give q.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*n + 286968, 4 - 12 = 4*f. List the prime factors of n.\nAnswer: 71741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 14*h**3 - 3*h**2 + 7*h - 4. What is the hundreds digit of j(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g + 7. Let p be x(6). Let s be p*2\/(-4)*-8. Suppose -y + r = 2*y - 16, -16 = s*r. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - -1240?\nAnswer: 1252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -24375, 20, -1\/2 in descending order.\nAnswer: 20, -1\/2, -24375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of g**2 + 108. Let v(c) = 3*c - 4*c - 9*c. Give o(v(m)).\nAnswer: -20*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-820)\/(-48) - (-2)\/(-24).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135 and 160592490?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9851*i**5*z + 3*i**3 - 770*i*z + 6*z wrt i?\nAnswer: 197020*i**3*z + 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 35 - 50 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -5*i - 15, 23*i - 9 = 11*i + 15*i + 5*z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -198, -306, -480, -714, -1002, -1338, -1716?\nAnswer: -2130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4461 is divided by 809?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3096109.5 rounded to the nearest ten thousand?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.245 - 445.755. Let q = c + 448. What is the third biggest value in 5, q, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 9:01 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 + 2*d + 5. Calculate s(-5).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -886 minus 18245.1?\nAnswer: -19131.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1862\/5 - 368. Let v be (-1)\/(-35) - (3 + (-17)\/5). Which is the closest to 0.2? (a) y (b) -0.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -2*v + 3, 2*v = 9*u - 12*u + 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 6*m**2 + 3*m + 10. Let w be a(5). Let z be 1*(-2)\/(-10)*w. Let s be ((-1)\/2)\/((-3)\/(-4)). Is s bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -2*(sqrt(5) + sqrt(5) + 1 - sqrt(5)))**2 + (sqrt(15)\/sqrt(3)*2)**2 + 3*sqrt(125)*-1 + ((sqrt(125) + sqrt(125)*-2)*-5 + sqrt(125))**2.\nAnswer: -11*sqrt(5) + 4529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 7:42 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13817 and 163108?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 5*z**2 + 3080*z + 306875 = 0?\nAnswer: -491, -125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 24*j + 7 - 25*j + 3. Determine n(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/23)*d)\/(d\/(d\/d**(-31))) assuming d is positive.\nAnswer: d**(735\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/49)\/(76\/(-1596))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2825018000 to the nearest 1000000.\nAnswer: -2825000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 15*r**2 + 19*r - 20. What is b(-14)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 + 6*g - 1. Let f(y) = -y**2 - y - 1. Let s(r) = f(r) + i(r). Let u(q) = 3*q**3 - q**2 + 6*q - 2. Give 6*s(t) - 5*u(t).\nAnswer: -3*t**3 - t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 3, 3207, 5, 0.3, 2, -4\/5, 1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-375))\/((-18)\/(-270))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-6))\/((-8)\/((-192)\/(-40)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 105137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - (-290)\/20)\/((-1)\/(-6)*1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -3, 31, 3\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2402?\nAnswer: 2, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.1, -35, 2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/13*n + 2\/13*n**3 + 0 + 8\/13*n**2.\nAnswer: 2*n*(n + 1)*(n + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 plus 207026919.7958?\nAnswer: 207026909.7958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7562 and 3184?\nAnswer: 60496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**3)\/o**(2\/19)*(o**4*o)\/o**(-2\/9)*(o**(1\/10)\/(o\/(o*o**(-2\/5))*o))**(2\/27) assuming o is positive.\nAnswer: o**(7748\/2565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -107.811 + -0.189. Let j be (-1 + (-1 - 0))*1\/(-28)*-4. Which is the second smallest value? (a) 0.1 (b) j (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -2248.\nAnswer: 1\/2248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5389, -10759, -16127, -21493?\nAnswer: -26857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) - (-2*sqrt(1053) + sqrt(1053)))*6 + sqrt(1053) + (sqrt(1053) - (sqrt(1053)*3*-1 - sqrt(1053))))**2 + (2 + 3 + sqrt(1053) + -1)**2 + -2.\nAnswer: 72*sqrt(13) + 342239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*v - 15*v + 1688. Let w = 296 + v. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4688*j + 23103 = -337 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2055367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115256138.\nAnswer: 2, 57628069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmhmmmmm. What is prob of sequence mh?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 208553.4cm?\nAnswer: 2.085534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34184 and 59330605.\nAnswer: 474644840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 e when two letters picked without replacement from hee?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-12))\/(3\/(-6))*(-4)\/(-21)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -454\/3 (b) 1\/2 (c) 57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*f - 674 + 70, 2*w - 576 = -4*f. Calculate the highest common factor of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**2 + 2*r + 7*r**2 + 12*r**2 - 2*r.\nAnswer: 13*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 21, -16, 44 in descending order.\nAnswer: 44, 21, 4, 2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10, -45, -102, -181, -282?\n\"Answer: -11*r**2 - 2*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x - 2. Let q be y(4). Suppose -2*o = 3*b - 4, -6 = 5*b - o - q*o. Let c(g) = -g**3 + 7*g**2 - 6*g + 1. Let d be c(6). Which is smaller: d or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 598*q - 592*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345838 is divided by 18201.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 91 - 79. Solve -13 = 4*o - 3*i, 4*i = -0*i + c for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -131442614 + 2?\nAnswer: -131442612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-39)\/(-442))\/(1\/14). Let x = 634\/527 - i. Let k = 98\/155 + x. Is 1\/5 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/13760294 and -6\/133855.\nAnswer: 68801470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 211513726.\nAnswer: -1\/211513726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 201 - 201. Suppose 4*v = -4*l + 36, -2*v - l + 14 = 3*l. Solve -4*x - v - 1 = a for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -222.8 or -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1*(-3)\/2)\/(54\/(-1476)). Suppose -4*c + 194 = -18. Suppose -t + 2*a + 26 = 0, -2*a + c = 4*t - k. Is 12 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + k + 33147 - 33130, 5*k + 5 = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 165*z**2 - 147*z + 5. Is b(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2801910.\nAnswer: 2, 3, 5, 59, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2502 = 86*j + 72*j - 19*j for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40648679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24697 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 9:55 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*y**2\/3 - 412134*y - 309100\/3.\nAnswer: -2*(y + 154550)*(4*y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10781 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9912, 9990, 10042, 10068?\nAnswer: 10068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -1. Let x(d) be the third derivative of d**4\/6 - 5*d**3\/3 + 47*d**2. Let b be x(p). What is the greatest common divisor of 66 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6758 + 6767. Solve m*f - 46 + 10 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 33, 8, -50, -2, -7, -17 in ascending order.\nAnswer: -50, -17, -7, -2, -1, 8, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5*o + 2*o**2 - 1 + 0*o + 4 - 3*o**2. Calculate k(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -16*w + 320. Let n be h(20). Let a(b) be the third derivative of -2\/15*b**3 - 1\/60*b**4 + 1\/150*b**5 - 3*b**2 + n + 0*b. Find x such that a(x) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 1:58 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(((-10)\/(-8))\/(-5)). Let x = h + 36. Solve -x*c + 8 = 20 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -2136*q**6 - 2625*q**2\/2 - 10830. What is the second derivative of v(m) wrt m?\nAnswer: -256320*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/5 + 0)\/1. Let v(h) = -h**3 - 2*h**2 - h - 2. Let n be v(-2). What is the closest to 1\/2 in n, 0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*f - 1 = -f, 2*u - 3*f = 3. Solve -4*r + 16 = u, -3*r + 1 + 5 = 3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-1\/4))\/r)**(-8\/11)\/((r\/r**2)\/r**(-1)) assuming r is positive.\nAnswer: r**(-2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3978 and 4590?\nAnswer: 59670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -15. Suppose -15 = -3*a - 0*a. What is the nearest to q in 0, a, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -6*m - 158. Calculate v(-23).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -2*b + 7*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a - a + a)*(15 + a - 3*a - 6).\nAnswer: -12*a**2 + 54*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, t: 2}. What is prob of picking 2 k?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -837 - -1177. What are the prime factors of r?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 555046.5 to the nearest 10000.\nAnswer: 560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16140 (base 7) to base 16.\nAnswer: -11b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001110000 - -1110000001011?\nAnswer: 1010110011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*v + 150*v + 124*v + 6840 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76 - 44) + -31 - (-17 + 0).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.776 - -3.676096. Let j = 0.1 - 0. Let p = k + j. What is p rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (72 - 95 - (-1 - -43))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 + 29. Let d = 0.32 - 0.02. Which is the third biggest value? (a) u (b) d (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*v - 8 + 26, -c - 2*v + 10 = 0. Let q(m) = 49*m - 5 - 103*m + 53*m - m**3 - c*m**2. Give q(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1103340 to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of 3*x**5\/20 + 381*x**2. Let t(n) = -68*n**2 + 1. Give t(y(i)).\nAnswer: -5508*i**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 276 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 w = -5312.5 - -5312. Which is the third biggest value? (a) 0 (b) w (c) -0.08 (d) 14\/3 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -24086 + 0\/(-3) - 3. Let c = y + 121539\/5. Let a = c + -218. Is 4 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 144, 284, 424, 564, 704?\n\"Answer: 140*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*w + 3*r, 8*w + r = 3*w + 9. What is the remainder when 1000 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence izzi when four letters picked without replacement from {i: 11, z: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(6\/4 - 1). Suppose -4*s + 5*s - 2 = o. Let t be (-1)\/15 - 644\/(-9660). Solve -s*p + p = t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-5))\/(1\/(-5)). Let c(j) be the third derivative of -j**5\/60 + j**4\/12 + j**3\/6 + j**2. Calculate c(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 3. Let k = m - -1. Let u(x) = x**3 + 7*x**2 + 7*x - 10. Let l be u(-5). Solve 5*r + n = 10, -l*r = 5*n + k - 13 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/3*222*(125\/(-15))\/((-4825)\/386)\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1531 = 748*g - 35 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f**2 - 15993*f - 1505169. Calculate v(-92).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r - 161 = -111. Let s(k) = 2*k**2 + 2*k - 2. Let h(v) = 8*v**2 + 9*v - 9. Determine r*h(q) - 9*s(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 2*j**2 + 0*j**2 + 37.\nAnswer: -2*j**2 + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 504 and 36.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2400489\/44 + -54559. Calculate the common denominator of 53\/88 and h.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -56, -44, -16, 34, 112, 224, 376?\n\"Answer: f**3 + 2*f**2 - f - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.6 * 49.81\nAnswer: 79.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -4533 to the nearest 100.\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 4*d + 13, 29*d + 40 = -5*g + 24*d. Which is the closest to 21? (a) 0.3 (b) g (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 40 - 72*x**2 + 1 + 4 + 35*x - 8*x**2. Let t(c) = c - 9*c**2 - 1 + 6 + 4*c - c. Let k(y) = 4*b(y) - 35*t(y). Solve k(q) = 0 for q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2413724191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 6*v - 65 = 11*v, o + 15 = -v for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, e: 11}. What is prob of picking 1 i and 2 e?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/12)\/(1\/6). Suppose -5*w - 3*i = -22, t*i - 9 = -3*w + 5. Let l = -26 + 29. Put l, 11, w in decreasing order.\nAnswer: 11, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 430 = -10*u. Let v = -37 - u. Find the common denominator of -23 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + 292 - 292.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -2915, 0.4, -0.1, 1\/2, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*z - 4691 = -r - 90*z, 2*r - z = 9304. Calculate the lowest common multiple of r and 931.\nAnswer: 4655","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 8*i. Let c(k) = 7*k + 1. Let l(s) = -5*c(s) + 4*z(s). What is the units digit of l(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 0. Let m = 284 - 284.1. Let p = -4 - -3.9. What is the closest to p in -1\/5, t, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*b - 0. Let u be 9 - ((7 + 0 - (-6 - -8)) + 1). Solve 10 - 7*x**3 - x**3 - 24*x**b + 5*x + 14*x**2 + 3*x**u = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/2308 and 45.\nAnswer: 2308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/1581976 and -91\/3163952?\nAnswer: 3163952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 + 2*c + 7. Let r(s) = -s**3 + 5*s**2 + 5*s + 15. Determine -2*r(p) + 5*u(p).\nAnswer: 2*p**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 1964 = 37*l - 33*l, 0 = -4*l - 28. Is f <= -2909\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2839029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 14*c + 117. Calculate the least common multiple of r(-6) and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28453, 0.2, -0.2.\nAnswer: -28453, -0.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8026 is divided by 1002.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(((a*a**26)\/a)\/a))\/a**0 assuming a is positive.\nAnswer: a**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p + 142. Let a be g(-73). Let k = 4 + 1. Let j(x) = 6*x**2 + x + 3. Let m(d) = 7*d**2 + 2*d + 4. Give a*m(u) + k*j(u).\nAnswer: 2*u**2 - 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 7*a + 1. Let j be v(-5). Let n = 12 + j. Calculate the highest common factor of 15 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**3 + 192*i**2 - 4*i + 77. Give f(48).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1874081?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 - -37. Suppose a = -3*y + 4*m - 9*m - 19, -3*y - 4 = 2*m. What is the lowest common multiple of 4 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (806\/(-93))\/(28\/(-546)). Calculate the highest common divisor of 3 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, l: 9}. What is prob of picking 2 f and 1 l?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6921657 to the power of 1\/2, to the nearest integer?\nAnswer: 2631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 t when two letters picked without replacement from torrrtooysr?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*a**2 + 136*a**2 - 50 + 50 to the form v*a + w + d*a**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 7*m**2 + 2*m - 16. Calculate p(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019 a factor of 1352061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/45 - ((-64)\/12 + 4).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 47 - 6 - (2 - 3 - -9)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2468056716?\nAnswer: 2, 3, 29, 87557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*r + 2*d - 42 = -69*r, r = -3*d + 3. Factor 0 + 1\/2*h**2 + 5\/6*h**4 + 0*h - 1\/6*h**5 - 7\/6*h**r.\nAnswer: -h**2*(h - 3)*(h - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*h**2 + 12*h - 12*h)*(5 - 5 - 2*h).\nAnswer: -60*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004303 to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -153 + -103 + (199 - 17)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 19 + -78 + 2 + 11.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61.064 + 55.03. Let o = -6.1 - g. Let m = 1.346 + o. Round m to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 797674 (base 10) in base 2?\nAnswer: 11000010101111101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92*c**4 - 384*c**2 + 2 + 125*c**2 + 131*c**2 + 132*c**2 + c to y + x*c**3 + j*c**2 + h*c + l*c**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -786, -807, -818, -813, -786?\n\"Answer: b**3 - b**2 - 25*b - 761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n + 399 - 439 = 2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 47*a**4\/6 + a**3\/2 - a**2 - 11*a. Is h(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3429430626.\nAnswer: 2, 3, 571571771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 73?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + sqrt(832) + 1 + -2) + 3.\nAnswer: -48*sqrt(13) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**5\/15 + 2*f**2. Let x be j(1). Let m(s) = s**2 - 4*s**2 + 8*s - s + x + 4*s**2. Calculate m(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 84377 + -421883\/5. Let y = -420 - -8818\/21. Put u, -0.3, 1\/8, y in ascending order.\nAnswer: -0.3, y, 1\/8, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*z = 27. Let u = -11651 + 11649. Put -1, u, -3, z in ascending order.\nAnswer: -3, u, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b - 35*b - 8*b - 21*b in the form h + g*b and give g.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5791411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -17902 and -35803\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**16)**7)**(3\/43))**(-1\/46) assuming g is positive.\nAnswer: g**(-168\/989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -16*c**4\/3 - 220*c**3\/3 + 296*c**2\/3 - 20*c = 0.\nAnswer: -15, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1581426\/(-56595) - -1*(204\/105 + -2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 25*(-41)\/43050*-42\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k + 154 = -2*h + 136, -4*k - 19 - 1 = -3*h for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6594 - 6597. Let t be ((-12)\/10)\/((-1)\/(-5)). What is the hundreds digit of ((-8)\/u)\/(t + 1156\/192)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/19)*i)**(9\/4) assuming i is positive.\nAnswer: i**(189\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c - 6*c + 3*c)*(-3 + 3 + 2)*(-1 - 4 + 0)*(7 - 2 - 3)*(-43 - 8 - 1).\nAnswer: -7280*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(300) + -1*(sqrt(300)*3 - sqrt(300)))*4 - (2*(sqrt(300) + -2) + -1)*2)**2.\nAnswer: -2880*sqrt(3) + 19524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, j: 3, l: 9}. What is prob of sequence lcc?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 539700*z**2 - 1619136*z.\nAnswer: 4*z*(z - 134928)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 4. Let l be v(0). Suppose 0 = l*r + 2*m, r + 7 = -0*r + 3*m. Let j(g) = 3*g**3 + g + 1. What is j(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18\/329, 2\/5, 5.4, -5 in ascending order.\nAnswer: -5, -18\/329, 2\/5, 5.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/3393 and 151\/176849946.\nAnswer: 176849946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13489*a + 37069*a - 9278*a - 4872*a.\nAnswer: 9430*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12765 is divided by 142.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -24 + (-11)\/(4950\/(-10860)). Let m(p) = -2*p + 8. Let j be m(3). Determine r, given that -k*r**4 + 2\/15*r**3 + 0*r + 0 - 2\/15*r**5 + 2\/15*r**j = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 5*t - 2*t + (-2 + 4 - 1)*(t - 3*t + t) - 2*t + 2*t + 4*t)*(-59 - 7 + 22).\nAnswer: -44*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12175?\nAnswer: 5, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 14 = 12, 103 = 3*i - 5*j. Calculate the highest common factor of i and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - 0 - (-2 + 1). Suppose n = o - 0 + 2. What is the units digit of 10\/(3\/(-9)*o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/(-196))\/(1385\/(-11634)))\/(6\/14)*1.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017151834 to five dps.\nAnswer: 0.01715","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 0 - 9*h + 1\/24*h**4 + 1\/2*h**3 + 9\/4*h**2. Factor f(p).\nAnswer: (p + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {d: 9, l: 2, s: 5, a: 3}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310685973?\nAnswer: 3, 13, 151, 52757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3\/3317, 21\/2 in descending order.\nAnswer: 21\/2, -3\/3317, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + 6*r + 36, 5*m - 30 = 391*r - 387*r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1604, 3495, 5668, 8123, 10860, 13879?\nAnswer: 17180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.385446 rounded to 2 decimal places?\nAnswer: -79.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26806.\nAnswer: 2, 13, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 + 885 + 3*p**3 - 885.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(11) - -3*(sqrt(11) + sqrt(176))) - (sqrt(66) + 4*sqrt(66)*1)\/sqrt(6))*-5)**2.\nAnswer: 1986875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d + 11 + d**3 + 6 + 3*d**2 - 4*d - 20 + 2*d**2. Determine l(-6).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 87*t + 25. Let s(h) = 32*h + 8. Let b(i) = -3*n(i) + 8*s(i). Let c(x) = 2*x**2. What is b(c(u))?\nAnswer: -10*u**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/12 - 65*a\/12 - 8679\/2.\nAnswer: (a - 263)*(a + 198)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, s: 5, m: 2, p: 5}. Give prob of picking 2 p and 2 m.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6\/4 - (64116\/(-72) + 14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 - 64*d + 87. What is t(27)?\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 1 + 4)*(-4*l - l + 4*l) + 2*l - 2*l - 6*l + 0*l - 12*l - l)*((-1 - 3 + 2)*(5 - 3 - 4) + 10 - 18 + 6) in the form k*l + b and give k.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -469*c**3 - 4*c**2 + 7*c + 30. Does 14 divide g(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 13840590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.17 - -0.73. Let s = 0.5 - v. Let r = -0.0712 + 0.4712. Which is the second biggest value? (a) s (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 28 = d, -8*t + 3*t - 40 = -5*d. Solve 2*f + f = -d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -232141168 divided by -33163024?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 - 13744805 + 13744805.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/p**14)\/p*p)\/p*p)\/(p**(-15)*p))**(-1\/58) assuming p is positive.\nAnswer: p**(-1\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14893 and 573737088.\nAnswer: 573751981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 15*b**2 + 14*b + 6. Let l be u(14). Let y = l + -2. Solve -3*r = -y*r - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1181166018?\nAnswer: 2, 3, 17, 661, 17519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*c + 15 = -5*w, 0 = -w - c - 4. Let n be (-7)\/28 - 17\/(-4). Suppose n = 4*z - 12. What is the greatest common divisor of w and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101 - 55. Suppose 0 = -5*y + 3*i + 31 - 183, 67 = -2*y - 5*i. Let p = u + y. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f + 33. What is t(12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 46?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2227107.\nAnswer: 3, 742369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -5*w**3 - 3380*w**2 - 540055*w + 4539320 = 0.\nAnswer: -401, -283, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((99\/12)\/33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 97*c + 14 = 100*c, 2*t + c + 14 = 0 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 1374 = 5*g, 2 + 1 = -g. Let o = -3647\/8 - a. Calculate the common denominator of o and 29\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124 and 136524?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -58*t - 58*t + 373 + 118*t wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7430, 7578, 7726?\n\"Answer: 148*i + 7282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 213 - 198. What is the lowest common multiple of f and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -21*h**5 - 111*h**4 + 432*h**3 - 204*h**2 - 96*h = 0.\nAnswer: -8, -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*l = 3*l - 145 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -134 + 142. Let d be (-10)\/(-3) - -3*r\/(-18). Solve d*j = -0*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + 0 + 1 + (sqrt(171) + sqrt(171)*2)**2*-1 + 3*sqrt(171)*-1 + sqrt(171) + -2).\nAnswer: -3084 - 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 2\/107, 2\/105, -0.4, -0.1?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 165257718?\nAnswer: -5\/165257718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2. Let p(d) = -129*d**2 + 14*d. Calculate p(v(a)).\nAnswer: -129*a**4 - 14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) -6\/7 (c) 2993 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + (15 - 17) + 35 + -19?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - y**2 + 7. Let w be d(0). Let j = -26 - -29. Let m(z) = -11*z**3 - 7*z**2 + 10*z. Let r(h) = 5*h**3 + 3*h**2 - 5*h. Calculate j*m(c) + w*r(c).\nAnswer: 2*c**3 - 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100121 + 2?\nAnswer: -100113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2312 = -5*p, -5*p + 2890 = 3*y + 2*y. Let d = y - 1004. Let a = d - -1009. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3125, 3207, 3329, 3485, 3669?\nAnswer: 3875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2.2 * 0.1356387\nAnswer: -0.29840514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zcxziiqzixczccxzcz. What is prob of picking 3 i and 1 z?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2323607393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -4*v + 55, 4*v - 2*k - 52 = -6*k. What is the greatest common divisor of 144 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 768 and 1101?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288036 is divided by 3946.\nAnswer: 3924","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2. Let w(y) = -135856304*y. Determine w(u(g)).\nAnswer: -271712608*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 11:10 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 133114728485 + 5729?\nAnswer: 133114734214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014321873 to 6 dps.\nAnswer: 0.001432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.111? (a) -4 (b) 102 (c) 0 (d) -7 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1098 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 1082620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(600\/(-16))\/15 + (-12)\/8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.408 times 0.4\nAnswer: -0.1632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + (sqrt(132)*-1)\/sqrt(4) + sqrt(33))\/sqrt(3).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 6*n**2 + 7*n - 1. Calculate h(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 326 divide 354036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i = 2*s + 8, 18 = -2*i - 5*s. Let v(h) = h**2 + 6*h + 6. Let g be v(i). Let f(a) = -a**2 - a + 1. Give f(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bc5 (base 14) to base 16.\nAnswer: -919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (75\/(-360)*-12)\/(((-15)\/(-2))\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w - 2. Suppose -227*g - 99 = -236*g. Suppose 31*q = 383 - g. What is the least common multiple of q and n(2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**4\/12 + 2*w. Let y be 4\/3 + (-10)\/(-15). Let a(x) = 2*x**2 + x**2 - y*x**2. What is a(m(b))?\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**2*o**3*t**3 + 699*f**2*o**3*t + 48*f*o**3*t**2 + 4*f*o**2*t**2 + 2*f*t**3 wrt f?\nAnswer: 4*o**3*t**3 + 1398*o**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 + 2*g**2 - 8*g**3 - 2*g**2.\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*v + 6*v + 12. Suppose f - v*t = 11, 3*f - 11 = -2*f - 2*t. Let b(c) = 2*c - 4. What is the units digit of b(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, 0.3, -15246, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*b**3 - 2 + 2 + (-127*b + 95*b**2 + 127*b)*(-b + b - b) to l*b**3 + a*b**2 + s + m*b and give l.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30310 (base 5) to base 10.\nAnswer: -1955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 3 + 1. Let c = 8 + b. What are the prime factors of 214\/14 - c\/14?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 5*m**2 + 11*m - 17. Let c be h(-7). Let z(b) = -33*b - 2*b**2 - c + 35*b + 3 - 3*b**3. What is z(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -443*d + 442*d - 2*a + 9, 0 = 2*d + 5*a - 21 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -828 plus -3422?\nAnswer: -4250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6804?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 423*p**2 - 8*p**3 + 5*p**3 + 311469 - 23972*p + 4091*p = 0.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4950*s. Let j(q) = 7*q**2 + 18*q - 246. Let f(o) = -o**2 - 3*o + 41. Let a(i) = 6*f(i) + j(i). What is d(a(g))?\nAnswer: 4950*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1780594*t - 1780613*t + 3561211*t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14.9 + -15. Let h = -1.69 - -0.19. Let n = 1.5 + h. Are d and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/81 and -26\/31389.\nAnswer: 847503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -4299.\nAnswer: 12897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -33862, -87 in descending order.\nAnswer: 4, -2, -87, -33862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(57) + -3*sqrt(57))*-4)\/(-3*sqrt(12) - sqrt(21)\/(sqrt(21)\/sqrt(3))).\nAnswer: -40*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.561297 hours to weeks.\nAnswer: 0.074769625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(156) + sqrt(156)*1 + sqrt(156)) + sqrt(156))\/(-6*sqrt(48)).\nAnswer: -19*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 279, 3?\nAnswer: 279","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, p: 4, x: 7, q: 1, r: 4}. What is prob of sequence qyxx?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 46 = 2*f + 82, -3*f - 5*g = 208. Let l(w) = 9*w**3 + 33*w**2. Let u(k) = -k**2. Calculate f*u(p) - 2*l(p).\nAnswer: -18*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*c**4 + 5*c**2 - 5*c**2 + (20*c**2 - 8*c**4 - 20*c**2)*(13 - 135 - 17) to b*c**3 + h + x*c**4 + w*c + u*c**2 and give x.\nAnswer: 1120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 x when four letters picked without replacement from xwyixzmxmymyyxmmyiyy?\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -22 - (116 - 166)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**7\/42 + k**4\/3 - 3*k. What is the third derivative of i(j) wrt j?\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1997.\nAnswer: 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.4 - -1.3. Let i = -0.3 - w. Let f = i - -11.00000102. Round f to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -5\/672?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003566 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - m + 2 = m, m + 2 = 0. Suppose -4*u + 54 = n*b, -3*u = -4*b - 4*u + 129. What is the remainder when b is divided by 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 285 and 18?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 9, i: 5}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -23616?\nAnswer: -23616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8220702 in 6\/7, -4, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2. Let k(y) = -28*y - 1280127. What is k(d(r))?\nAnswer: 28*r**2 - 1280127","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1001 and 3861?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11201 + -11196. Let n be ((-3)\/(-2))\/((-12)\/(-16)). Suppose n*q - 3*q = 0. Solve 3*b + m - 7 - 8 = q, -b = -2*m - v for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -487, -486, -485, -484, -483?\nAnswer: -482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15\/1144, 0, 1?\nAnswer: -15\/1144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -4) + -1 + 3. Sort y, -5, 9 in decreasing order.\nAnswer: 9, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5254\/(-555) - 520\/(-60).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -244 (base 9) to base 12\nAnswer: -14a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1232607?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2160 = 136*n - 352*n for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/73, -0.4, 1\/354, 0.22?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 5*j + 0*j**5 - 1\/210*j**6 + 0*j**2 + 0*j**3 + 0 + 1\/84*j**4. Factor x(n).\nAnswer: -n**2*(n - 1)*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(6)\/sqrt(3)*-3*-4.\nAnswer: -60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e (base 15) to base 7.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*w - 29 = -7, -5*w + 23 = t. Let v(y) = -135*y - 20. Does 38 divide v(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12895039, 25790075, 38685145, 51580267, 64475459, 77370739?\nAnswer: 90266125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18450 + -18482. Which is the closest to y? (a) -0.1 (b) 1 (c) 3\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 7, -10, -4985, -5 in increasing order.\nAnswer: -4985, -10, -5, -4, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 458 - 463. What is the biggest value in 0.4, 2\/17, -3, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + k + 77 = 0, -2*k - 252 = -2*f - 218. Solve -128 = f*w + 32 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 18, 4.02, -5, -2, 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 v when two letters picked without replacement from kdlklkklvlblkcllc.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 1116?\nAnswer: -1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70066103?\nAnswer: 2161, 32423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2722*l - 2714*l - 2771*l - 3518*l + 3188*l in the form m + v*l and give v.\nAnswer: -8537","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2457*t + 145226. Give m(-59).\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05203486 to three decimal places.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -8*c + 70. Let k be (-48)\/10*(-50)\/c. Solve -3*o - k = o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y + 40 = -j, -11*j - 4 = 3*y - 10*j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 234 + -197. Calculate the least common multiple of k and 2.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 d when four letters picked without replacement from hhhhdhhhhhhhh?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -4, 91\/3, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/107 (b) 1 (c) -0.1 (d) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 15. Let a(v) = -7*v - p - 3 + 4. Let q(k) = -2*k**2. Give q(a(s)).\nAnswer: -98*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120223 is divided by 172.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 + 13*p + 15 - 15*p + 80*p.\nAnswer: 78*p + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -82427\/26 + 3171. Let o = -42\/13 + s. Let h = -110 - -113. What is the second smallest value in -3\/4, o, h?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/42)\/(10 - (-19 - -13 - 1454\/(-91)))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - d - 1. Let o be w(-1). Let c = 1 - o. Find the third derivative of 10 - 10 + j**3 + j**c wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*f + 11*f + 27*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/11, 0.1, -0.2, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m + 12 = -5*r, -4*r + 12 = 3*m. Solve r = 3*b + b + 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -148*h**2*n**4 - 2*h**2*n - n**4 - 4*n**2 - 2*n wrt n.\nAnswer: -3552*h**2*n - 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*y + 1013 = -611. Calculate the greatest common factor of y and 721.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + -3. Let y(p) be the first derivative of p**2\/2 - p - 61. Give y(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37479, 37486, 37493?\nAnswer: 37500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -336050 divided by 286?\nAnswer: -1175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/3 - 2)\/(442\/(-51)). Sort 2, 5, v in descending order.\nAnswer: 5, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1655 = -9*p + 4*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3817?\nAnswer: 11, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60159647?\nAnswer: 60159647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00060601 to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -3. Let s(l) = 5*l**3 - 8*l**2 + 5*l + 7. Let z(q) = -6*q**3 + 9*q**2 - 6*q - 8. Let g(p) = w*z(p) + 5*s(p). Let c be g(4). Solve c = -f + 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -317, -1264, -2841, -5048?\n\"Answer: -315*i**2 - 2*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 8 = 5*y - y, 3*y + 4*o = -16. Suppose 4*m = -4*s + 17 + 11, y = -5*s + 4*m + 26. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 204465146, 204465145, 204465144, 204465143, 204465142, 204465141?\n\"Answer: -x + 204465147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 3*t + 1251 = 3*y, y = 2*t - 408. Let c be 747\/(-6)*(-730)\/y. Let w = 1325\/6 + c. Calculate the common denominator of w and -61\/3.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1331265663?\nAnswer: 3, 7, 13, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 505.0352 micrograms?\nAnswer: 505035.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.1 (b) 4 (c) -5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/((-1*sqrt(110) - sqrt(110) - sqrt(110))\/sqrt(10)))**2*5.\nAnswer: 85\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkzzzzvkzkzzvv. Give prob of sequence vzkk.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*x + 11*c - 16*c, -2*x + 2*c + 10 = 0. Let o(k) = -k**2 + 8*k + 1. Determine o(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**5 + 365*l**3 - 728*l**2 - 2*l wrt l?\nAnswer: 120*l**2 + 2190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 75 - 67. Let j be (-959996)\/k + (3\/(-3))\/2. Round j to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*d = 104*d - 307 + 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(1\/8)))\/(t**(-2)*t))\/(t*t*t**(-1))**2 assuming t is positive.\nAnswer: t**(-9\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2340656 divided by -5.\nAnswer: -2340656\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*m - 7*m**2 - 29*m - 28*m - 25*m + 12*m**2.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19446.191 - -44955.164. Let g = m + -25546. Let a = g - -37. Round a to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/5 + (-84)\/(-35). Let o(u) = 2*u**3 - 2*u**2 - u. Let m be o(n). Is (-1 + (-14)\/(-4))*m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + (-3 + (sqrt(264) - 5*sqrt(264)*-3)\/sqrt(6))**2).\nAnswer: -67656 + 1152*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*z + 5578 = 0, -50*u - 2*z - 13983 = -55*u. 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 remainder when 4220106 is divided by 183482?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -30160356 - -5.473733\nAnswer: -30160350.526267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 536200433?\nAnswer: 107, 587, 8537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m**2 + 239*m - 1607. What is p(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.8951 - 11.7951. Let f = -2.9 + 18.9. Let r = -1\/3 + 14\/15. What is the third biggest value in f, y, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 19*g**2 - 28*g - 7. List the prime factors of y(11).\nAnswer: 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 7*f + 5. Let v be u(7). Suppose v*d - 5*w = 14015, 0 = 5*d - 0*w + 5*w - 13985. Round d to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, k: 5, h: 1}. What is prob of sequence hk?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379192557.\nAnswer: 3, 19, 6652501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57588\/11 + -5240. Calculate the common denominator of 24\/11 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - d = 5*o - 4, 5*o = 2*d - 8. Let m(n) be the first derivative of 4\/5*n**5 - 1\/2*n**2 + 1\/4*n**4 + o*n - 1 - 4\/3*n**3. Factor m(r).\nAnswer: r*(r - 1)*(r + 1)*(4*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/1179260 and -127\/2660?\nAnswer: 156841580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 2344*v**3\/3 + 5334*v**2 - 3659*v. What is the derivative of u(j) wrt j?\nAnswer: 4688","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - -25790.3\nAnswer: 25796.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 3*t**2 + 3*t - 2. Let b be d(-4). Suppose 14 + 4 = b*r. Let j = 10261 + -10217. Calculate the remainder when j is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.496 + -2.186. Which is the closest to o? (a) 2 (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 407952 to the power of 1\/2, to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -8. Suppose -3 - 16 = -s + 3*i, -13 = -k*s - 2*i. What is the highest common factor of s and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten sevenths of a week in days?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2 - 9*i. Let o be q(-4). Suppose o*k - 204 = -2*c, 3*c - 58 = -2*k + 264. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 7*o + 16. Calculate y(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 879215.5 kilometers?\nAnswer: 879215500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -1130?\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - m**2 - 19*m - 10. Let k(w) = -w + 14. Let p be k(6). Suppose -2*g + p = -g. Calculate the remainder when r(-3) is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a + 2533 = 141. Which is smaller: -2\/3 or a?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5334*v + 179. Let q(c) = -5336*c - 194. What is 12*q(x) + 13*r(x)?\nAnswer: 5310*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j. Let h(r) = r - 12. What is z(h(s))?\nAnswer: -2*s + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence edb when three letters picked without replacement from bdbddbdbbeddd.\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54 + -4. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46810465?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/9, -25, 0.1?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -2217674?\nAnswer: 221767.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**5 - 6*t**5 - t**5 + (2 + 3 - 4)*(t**5 + 3*t**5 - 5*t**5) + 3*t**5 - 6*t**5 + 4*t**5 - 7 + 0*t**5 - 1 - 4*t**5.\nAnswer: -7*t**5 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 316*h**5 - 108*h**2 + 3 wrt h?\nAnswer: 18960*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*y**3 - 8*y**3 - 51*y**3)*(-y + 3*y + 3*y).\nAnswer: -360*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h = -20*h + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ju when two letters picked without replacement from jjuteerjcre.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 741.\nAnswer: 8892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d**3\/3 - d**2\/2 + d - 1. Let b(x) = -2*x**2 - 2*x + 3. Let l = 1107 + -1103. Determine l*z(t) - b(t).\nAnswer: -2*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1245 or 3857?\nAnswer: 2\/1245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1888 divided by -82\nAnswer: -944\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 divided by 18.\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 8*g**2 - 7*g + 3. Let b be r(-7). Suppose d = b*d - 6. Suppose d*z = 15 + 51. Calculate the remainder when z is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**6\/360 - i**5\/40 + i**3\/6 - 3*i**2. Let k(v) be the first derivative of b(v). Find the second derivative of k(x) wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 86 = -0*m + 5*a, -4*a = m + 81. Let u = -39 - m. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 4*h - 28 = 0, -1620*h + 1 = -m - 1619*h for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 15*w - 4. Let f be m(15). Let u be 2 + (f*1)\/2. Suppose 2*p = 3*n + 12, 0 = -4*p - 5*n - u + 2. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((((h\/((h**2\/h*h)\/h)*h*h)\/h)\/h*h)\/h))**(-3\/4)*h\/(h\/(h**(1\/6)\/h*h))*(((h\/h**(-9)*h)\/h)\/h)\/h)**(-25) assuming h is positive.\nAnswer: h**(-2225\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622 is divided by 40.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 927.2002ng to micrograms.\nAnswer: 0.9272002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (14\/4)\/((-2)\/4). Let c = -3 - k. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 10*j + 6. Let o be s(10). Does 9 divide -9 - -138 - (o + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 701.28 and 3872.\nAnswer: 2715356.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a - 2. Let h be i(-11). Let f = 18 + h. Let x(l) = -l**2 + 6*l + 2. Calculate x(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w**3 - 19*w**3 - 256*w - 298*w + 16*w**3 - 159*w.\nAnswer: 4*w**3 - 713*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 - 3*d**2. Let p(x) = 12*x**3 - 57*x**2. What is 4*b(t) - p(t)?\nAnswer: -4*t**3 + 45*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2461 is divided by 223.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o**3 - 2*o**2 + 5*o - 5. Let i be g(1). Suppose 0 = 3*u + 2*b - 166, -i*u = -0*u + 2*b - 114. Solve 15*a = 2*a + u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 780\/2681 + -2\/383. Let o be 4\/(-2) + (-3)\/(-2). Which is the second biggest value? (a) o (b) f (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(70)\/(sqrt(980)\/sqrt(2) - sqrt(10)))**2 - (((sqrt(70) + sqrt(70)*3 + sqrt(70) + sqrt(70) + sqrt(70))*-6)\/sqrt(10))**2).\nAnswer: 444521\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**4 + 3*l**4 - 2*l**4)*(1 - 4 + 4)*(-8 - 5 + 0).\nAnswer: -26*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 187 + -157. Calculate the lowest common multiple of y and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 448*t - 56924. Let x be a(127). Let b(f) = 105*f - 28. Let n(p) = 16*p - 2. Let v(l) = l - 1. Let q(i) = -n(i) - 3*v(i). Give x*q(d) - 5*b(d).\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 26.5 and -167.4.\nAnswer: -140.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2249 + -1491. Let l = r + -43. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -867*l - 4*a = -864*l - 40, -4*l - 2*a + 60 = 0. Solve -15 = 2*q - 5*i, -25*q + i - l = -22*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 85 (c) -35 (d) -32 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*x + 4 = 0. Let l(q) = 0 - q**2 - 7*q + 1 + x*q. Suppose i + 2 + 4 = 0. What is l(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**5 + 889*l**4 - 83022*l**3 - 1252342*l**2 + 2750189*l - 1415715 = 0 for l.\nAnswer: -973, -15, 1, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-807)\/3497)\/((-2)\/(2\/(-1))).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1040*o - 4231. Calculate n(-3).\nAnswer: -1111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1022*c**3*o*s**3 + 37*c**3*o + c**3*s - 3*c**2*s - 2*c*o*s + 14*c*s**3 - 9*c*s wrt s?\nAnswer: -6132*c**3*o*s + 84*c*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 1022546?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26938104?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 5\/6*m**3 + 0 + 0*m**2 - 7\/20*m**5 + 6*m + 1\/6*m**4. Let t(n) = -3*n**3 + n**2 + 2*n. Determine -2*q(k) + 5*t(k).\nAnswer: -k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (4 + -15 + 9).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + l + 4, -j + 0 = l + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 divided by -16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + s**2 + 3*s**2)*(2 - 2 + s) - 5*s**3 + s**3 + 2*s**3 - 108513*s**2 + 731*s**3 + 108513*s**2.\nAnswer: 732*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 3:24 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 12:57 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(7\/4))\/w)\/w**0*w**3\/w**(-1)*(w\/(w\/(w\/w**(-5\/2))*w))\/w*w\/(w\/((w**(1\/6)*w)\/w))*(w*w**1)**44 assuming w is positive.\nAnswer: w**(1103\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1726\/9 + 192. Let y(g) = -g**3 + 7*g**2 + 8. Let o be y(7). Let l be ((-5)\/(-20))\/((-18)\/o). Which is the closest to p? (a) 1\/7 (b) 1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pqypaapyiirapqyi. Give prob of picking 1 i, 1 r, and 2 a.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -6 + 3 - -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*a + 6*a = -166*a - 4992 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-2 + sqrt(3))*2 + sqrt(3)) + -4 + -1 + (sqrt(6)\/sqrt(2))**2.\nAnswer: -6*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/10)\/((-1426)\/3565)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -4656\nAnswer: 2328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 0)*(20 - 25). Let l(z) = x*z**2 - 7*z - 8*z - 56 - 4*z**2 + 42. What are the prime factors of l(-6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 668.66602 - 0.06602. What is b rounded to the nearest 10?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26254446 and 39636?\nAnswer: 2202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 540090539?\nAnswer: 71, 379, 20071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + -7 + -7 + -22 + 130 + -41.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1357, 1344, 1323, 1294?\nAnswer: 1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*d - i, 3*d + 3*i - 17 = -d. Let b = 28 + d. Suppose 0 = j - 12 - 8. What is the highest common divisor of b and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 1384*d - 1386*d + 44, 660 = 30*d - 4*j for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78967771.\nAnswer: 17, 4645163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 37*q**2. Let d(h) = 7*h. Give d(t(l)).\nAnswer: 259*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 4*c - 5*n - 14, c = -3*n - 4. Let m(y) = -y**3 + 2*y**2 + 2*y + 1. What is the units digit of m(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 12, 0 = 4*a + 2*c + c + 17. Let f be (a + 2)*1\/2. Solve f = -0*t - 4*t - 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 212.58 - 212.74. Put f, 21, 2 in descending order.\nAnswer: 21, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n + 3. Let u be i(-13). Let x = u - 25. Find the third derivative of -18*q**4 + 42*q**2 - 49*q**2 - 28*q**x wrt q.\nAnswer: -1104*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5946358 * -2.\nAnswer: 11892716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 766295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 3:49 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 11*q**4\/6 - 11*q**2 + 4*q. Differentiate b(h) wrt h.\nAnswer: 44*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -545, -339, -36?\nAnswer: -339","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2114 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 + -20. Let j(h) = h**3 - 3*h**2 - 2*h - 5. Let o be j(4). Suppose -23 = -o*i + s. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 63867.69 decades?\nAnswer: 6386.769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**15)**(-9))**(2\/63) assuming s is positive.\nAnswer: s**(-30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 126\/(-147) - (-1174)\/14. Let x = 68 - h. Suppose k + 6 + 10 = 0. Which is bigger: k or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101001100110101101 (base 2) to base 10.\nAnswer: 432557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -46 + 2?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -54*b**2 + 273*b\/5 - 3\/5 = 0.\nAnswer: 1\/90, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1838*q + 1415*q - 1706 - 409 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**5 + 4*l**5 - 5*l**5 + (l - 2*l - l)*(3*l**4 + 0*l**4 - 4*l**4) - l**5 - l**5 + 4*l**5 - 124*l**2 + 16*l**5 + 124*l**2.\nAnswer: 21*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-48) + 4*2\/24. Which is the third smallest value? (a) -3 (b) q (c) -6 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 2022022201?\nAnswer: -2022022210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjcjkcccjckccjcjcjj. Give prob of picking 3 j and 1 c.\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000853407617 rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58627, -112865, -167103, -221341, -275579?\nAnswer: -329817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80444 - 85900 = 176*u for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -44*r + 84. Is 23 a factor of z(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**3 + v**2 + v - 1. Let t be r(1). Let o be 7\/2*(-20)\/(-35). Factor 3*p**3 + o*p**3 - 6*p**t - 2*p**4 + 3*p**4.\nAnswer: p**3*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b04 - 34a?\nAnswer: 776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -20931, -21040, -21149, -21258, -21367?\n\"Answer: -109*h - 20822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 22*u + 95. Calculate k(-15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2097 + 2186. Calculate the remainder when 157 is divided by q.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 0.0552?\nAnswer: 2.0552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*p = -67*p. Put -5, p, -12 in ascending order.\nAnswer: -12, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 9 = -a. Let c(x) = -x + 1 + 2 - a. Let d(k) = k**2 - k - 1. Let f(m) = 12*m**2 - 13*m - 13. Let h(z) = -78*d(z) + 6*f(z). Give c(h(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 468*b**3*i**2 - b**3*i + 33*b**2*t**2 - 3*b*i*t**2 + 194*b*i*t + 1831*i**2*t**3 - 3*i*t**3 + 5*i*t**2 - 2 wrt i.\nAnswer: 936*b**3 + 3662*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309 is divided by 64?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -168*h**3 + 52*h**2 + 3.\nAnswer: -1008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 785325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10a (base 12) to base 9\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.79912875 - -1.799. What is y rounded to 6 dps?\nAnswer: -0.000129","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 41829*a - 335103. What is h(8)?\nAnswer: -471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}