diff --git "a/data/dm_maths/full_data/1628_11255.jsonl" "b/data/dm_maths/full_data/1628_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1628_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve 2158*o + 804 = 25316 + 1384 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 4*h - 16, 11 = 3*q + 4*h + 3. Let v(g) be the first derivative of q - 1\/3*g**3 - g - g**2. Calculate v(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9.4 in -5, 0.5, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**4\/6 - 2*u**2. Let v(j) = 110*j - 54*j - 58*j. Determine q(v(t)).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -205 - -210.38. Let m = -0.02 - x. Let j = -5.4 - m. Is -24 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 175 + -51. Suppose 0 = 2*h + 3*p - 83, -4*h = 3*p - 295 + 126. Calculate the remainder when a is divided by h.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 + 3 + 8 - 9*j - 2*j - 10*j to the form o*j + d and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1293 + -383. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 27\/359?\nAnswer: 27\/359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 445765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184 - 102*s - 184 + 193*s - 91*s + 3*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 - 2*x**3 + 2*x**3 + (-97 + 97 - 117*x**2)*(-3*x + 2*x - x) + (x**2 - 3*x**2 + x**2)*(-3*x + x + 0*x) - 10*x**3 + 6*x**3 + 5*x**3.\nAnswer: 236*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7de1ffb - 0?\nAnswer: -7de1ffb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c. Let y(j) = 485 - 236 - 248. What is 2*p(g) + y(g)?\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5403 (base 10) in base 4?\nAnswer: 1110123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s + 5*s - 3*s + (3*s + 2*s - 3*s)*(4612 + 31 + 547) in the form m + p*s and give p.\nAnswer: 10382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0486161816 rounded to three dps?\nAnswer: -1.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 141314 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 460103941*v**3 - 2*v**2 - 212401*v - 941.\nAnswer: 2760623646*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 18*a - 14*a = -16, 12 = x - 3*a for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18 and -226?\nAnswer: 4068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 44 - (-8 - -4) - 5. Which is the nearest to -2? (a) 5 (b) w (c) -0.3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -484672?\nAnswer: 484677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*v**3 + 6*v**2 - 1023*v - 126104?\nAnswer: -9*v**2 + 12*v - 1023","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-3) + (-1)\/(21\/(-14581))?\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -727 + 730 = 3*v, 0 = -5*s - 5*v + 80. Suppose 4*a - 3*k - 16 = k, -5*a - 4*k = -29. Solve 0 = -4*q + a + s for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 6*h - 18. Let b be z(4). Let w be (2\/(-11))\/(b\/(-66)). Let q(n) = -n - 2. Let l be q(-5). Solve -l*v - 5*y + 17 = 3, 0 = -2*v + w*y + 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 801670301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13817 + 8839 = -595*m - 113*m for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 5\/4*g**4 - 2 - 10\/3*g**3 + 40*g - 10*g**2. Let m(r) = 0. Calculate r.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**3 + 2*v**2 + 2*v - 1. Let p be u(2). Let k be ((-1)\/(-3))\/(p\/20). Are k and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c**2 + 152*c + 988. Give x(-21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r + 17. Let l be v(4). Sort 5, -2, 2, l in increasing order.\nAnswer: -2, l, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1521512 + 351?\nAnswer: -1521121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + (sqrt(2736) - ((sqrt(2736) - 2*(sqrt(2736) + 4)) + sqrt(2736))))**2.\nAnswer: 384*sqrt(19) + 11008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -7442*x**3\/5 - 10261908*x**2\/5 + 6335976*x - 24422704\/5 = 0.\nAnswer: -1382, 94\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 9:42 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - g**2 - g. Let z(u) = -1713*u**3 + 2*u**2 + 4*u. Give -2*k(p) - z(p).\nAnswer: 1715*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**3 - 12*n**2 + 10*n + 14. Is g(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, r: 1, o: 4, j: 1, p: 1}. What is prob of picking 1 r, 1 x, 1 p, and 1 o?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -51738, -51740, -51742, -51744, -51746?\n\"Answer: -2*k - 51736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 816, 812, 806, 798, 788, 776?\nAnswer: 762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -228\/7 + 1154\/35. Let k(b) be the second derivative of 0 + o*b**3 + 3\/50*b**5 - 3\/10*b**2 - 6*b - 1\/4*b**4. Suppose k(n) = 0. What is n?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -428, -857, -1286, -1715, -2144, -2573?\nAnswer: -3002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 4 + 4)*(117*k + 187*k - 161 + 161).\nAnswer: 1520*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q**2 + 17*q. Let n(s) = 2*s**2 + 7*s. Let z(o) = -7*o**2 - 27*o. Let u(m) = -22*n(m) - 6*z(m). Let j(k) = -3*h(k) + 7*u(k). Calculate j(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 7)*(-2*g - 5*g - 23*g)*(4*g + 0*g + 2*g)*(-1 + 5 - 2)*(5 - 2 + 1 - g).\nAnswer: -720*g**3 + 2880*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7498368 and 65412?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 8. Let c = 27 - 30. Let g be t(c). Solve -g*q + 16 = 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-719)\/11504)\/(-1*(-1)\/6)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxl when three letters picked without replacement from {y: 1, o: 6, x: 3, f: 1, l: 1}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 336889\/(-214914) - 1650\/(-1050)\nAnswer: 1\/258","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 243, 993, 2249, 4011?\n\"Answer: 253*f**2 - 9*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -3 (c) -0.9 (d) 82 (e) -0.2 (f) -0.7 (g) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3180 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 5:59 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-128)\/(-10) - (-49 + (-15210)\/(-325))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 26*k + 8 - 27*k - 8 + k**2 - k**3. Let h(g) = -5*g**3 + 3*g**2 - 3*g. Suppose -4*a = -0*i + i - 11, -5*i = -2*a - 11. Calculate i*x(f) - h(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -4044974 < -4044988?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d66c + 28a4?\nAnswer: 21021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, 1, -96.2, -193?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t = 4*t - 18 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * -1843.\nAnswer: -20273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 36.2776 and -0.60709275.\nAnswer: 35.67050725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -10 - 595284\/(-66444)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 6*y - 9*y. Let a(c) = 2*c. Let d be a(3). Let i = d - y. Solve i = -0*k - 5*k - 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 208 + -135. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4.6683 and 12.\nAnswer: 7.3317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29656877 and 1940?\nAnswer: 593137540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkz. What is prob of sequence zkk?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*((-1)\/(-2))\/(18\/4)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*w + 42 + 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbb when three letters picked without replacement from {m: 6, b: 2, x: 3, s: 1}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -175*p + 150*p. Let f be (-3 + -3)*(-26)\/6. Solve -2*s - 23 = -5*x, -2*x = -5*s - p*x - f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12467196751 - 0.1.\nAnswer: -12467196751.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -730 divided by 146.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 193.9 - 207. Let r = -9.2 - x. Let k = r + -4. What is the third biggest value in k, 0.5, 6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26930 smaller than -403942\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2674494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -112*x**2 + 2 - 3402*x + 3402*x to r*x**2 + o*x + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 76*m - 78*m = 15, -20 = 3*j - m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 + -1.5. Let s be (10\/4)\/(((-44)\/(-8))\/(-11)). Which is the closest to w? (a) 2\/9 (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -2, -0.02?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31 + 1039*o**5 - 29 - 54*o - 39*o - 102*o**5 - 58*o wrt o.\nAnswer: 18740*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-166)\/(-20))\/(741\/(-38)) and 55\/9.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8966098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**3 - 12*d**2 - 14*d = 0.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 - 0.4. Let r = 339 - 334. Which is the third biggest value? (a) g (b) 0.4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/241 and -105\/46.\nAnswer: 11086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h + 1. Let m(t) be the second derivative of t**3\/2 - 3*t**2 - 3*t. Let y be m(4). List the prime factors of r(y).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/7, -18, 0.3 in increasing order.\nAnswer: -18, 0.3, 5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 3:12 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67177 and 71455?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -12*i**2 + 7*i - 5. Let x(p) = -5*p**2 + 8*p - 62. Let g(y) = -3*y**2 + 4*y - 27. Let d(z) = -14*g(z) + 6*x(z). What is 5*d(s) + 6*h(s)?\nAnswer: -12*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 91.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 6*y**3 + 3*y**2 + 4*y + 2. Let s(z) = -13*z**3 - 65*z - 63*z + 119*z - 7*z**2 - 5. What is 4*s(q) + 9*x(q)?\nAnswer: 2*q**3 - q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -21*b**2 - 1. Let k be s(1). Suppose -4*a = 2*t - 54, -4*t + 101 = -a - 7. Let v = k + t. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 + 2)*(-2*n - n + 0*n)*(-1 - 2 + 1).\nAnswer: 30*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 4744.\nAnswer: 7\/2372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**3 + 2*n**2 - 3*n + 2. Let s be m(2). Let l = 64 - s. Calculate the remainder when 140 is divided by l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 + (-1476)\/(-291))\/(10\/788). Let q = 11\/97 + j. Calculate the common denominator of q and -23\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 1338321805850?\nAnswer: -1338321805849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362 is divided by 109?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/7)*c*c**6)\/(c**(1\/7)*c**(-5\/2)*c*c))\/((c**(-1\/2))**31\/(c**(-5\/4)\/c*((c**(-5)*c)\/c)\/c)) assuming c is positive.\nAnswer: c**(405\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6116002 (base 7) to base 12\nAnswer: 2b098a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 817784659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 867 and 204?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 1091?\nAnswer: 7\/1091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 4\/1 + -1. Let f = -3 + j. Let p be 1\/f - 1\/(-2). Solve -4 = -3*u + 5*r - 1, p = -3*u - 4*r - 24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 5*y - 33 = 0, -y = -5*f + 965 - 950 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, b: 2, n: 7}. What is prob of sequence lbl?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 8*t - 4100. Suppose 2*q - 135 = -5*p + 44, 5*p - t = -5*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111000001111001111110111101 + 11?\nAnswer: 1111000001111001111111000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -142, -284, -426?\n\"Answer: -142*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -98179999*g**2 - 83162187 wrt g.\nAnswer: -196359998*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/12)\/((-1)\/3). Suppose 0 = -h*f + 104 - 4. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 6*h = -38. Suppose -1 = -4*x + h. Sort -4, x, -1 in descending order.\nAnswer: x, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132160 (base 7) in base 15?\nAnswer: 7527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 320683.\nAnswer: -96204.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/20408040 and 167\/27210720.\nAnswer: 81632160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 4*k**2 - 28220*k + 4869624 = 0.\nAnswer: 177, 6878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267 = -18*t + 177 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l**2 + 0 + 4*l**2 + l**3 - 1 + 2*l**2. Let p be -4 - (2 + -4 + -8). Suppose -10*a + p*a = 12. Calculate g(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*f**3 - 14*f**2 + 8*f**2 - f**2 + f**4 - 22*f**2 wrt f?\nAnswer: 24*f - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**3\/6 + 4*c**2 + c. Let h be z(10). Let w(n) = n**3 + 4*n**2 + 2*n - 1. What is w(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2855*d**3*f**6 - d**3*f**3 - 4*d**3*f + 52*d**2*f + 169*f**2 wrt f.\nAnswer: 342600*d**3*f**3 - 6*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 19*r - 12. Let j(t) = 2*t**2 + 8*t + 8. Let l be j(-5). Suppose -3*q = -2*o + 9 + l, -9 = o + 3*q. List the prime factors of x(o).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((-31 - -14) + 23)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1171977 and 29754?\nAnswer: 1653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0709 + -0.6021. Let q = l - -1.673. Sort -63, -5, q in increasing order.\nAnswer: -63, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (v - 5*v + v)*(1630 + 12869 - 3418 + 12898 - 3316) in the form s + r*v and give r.\nAnswer: -61989","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -13477 >= -13477?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s*s**(-2)*s)\/s)\/s*s)**(13\/3))**27)**(-16\/11) assuming s is positive.\nAnswer: s**(1872\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 130840000 rounded to the nearest 1000000?\nAnswer: 131000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -13*d + 10*d - f, -3*d - 1 = -5*f for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/5 in -1, 0.04, -0.14, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 462 - 462.0000439. What is h rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 313, 675, 1175, 1813, 2589, 3503?\nAnswer: 4555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.7, -64, -1 in ascending order.\nAnswer: -64, -1, -0.7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 0.4 (c) -0.1 (d) 4541\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**2. Let n(c) = c**2 + 39*c. Calculate y(n(f)).\nAnswer: -3*f**4 - 234*f**3 - 4563*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 270 or 268?\nAnswer: 268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-78)*(-30)\/(-20). What is the third biggest value in q, -1, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -7*f + 88. Let w be b(12). Suppose -5*q = w*q - 36. Let n be q\/9 - (-184)\/(-252). Which is smaller: n or 0.036?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/4 + 5902*p**2 + 47219*p\/4 + 11805\/2.\nAnswer: -(p - 23610)*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 26*m**2 + 52*m - 676. Let g be p(27). Which is the nearest to 29? (a) g (b) -0.2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.53 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 8:14 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18032\/(-98))\/(-92)*-4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w + 9 = 13*m - 14*m + 24*w - 8, 5*w - 25 = 0 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.4 + -98.6. Let w = c - -64. Let s = w + 37.00034. What is s rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**8\/112 - o**7\/14 + o**6\/5 - o**5\/5 - 2*o**2. Factor l(d).\nAnswer: 3*d**2*(d - 2)**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 376 + -25 + -14 + 38. Calculate the highest common divisor of 15 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -858.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*d + 4*u = 5, -240*d + 3*u = -242*d + 4*u + 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/9))**(2\/9) assuming r is positive.\nAnswer: r**(4\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 896104.\nAnswer: 2, 11, 17, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 158 + -1212?\nAnswer: -1054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1*sqrt(66)*-5)\/sqrt(6))**2 + (sqrt(1100) - ((sqrt(1100) + sqrt(1100)*3)*-2 - sqrt(1100))) + 4.\nAnswer: 50*sqrt(11) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.5 (b) -0.5 (c) -1.1 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(3\/2)\/g)**(-27)*g**(-16)*g**(-7)*g)**(-19) assuming g is positive.\nAnswer: g**(1349\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-35*(-39)\/195).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1435225 is divided by 431?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or -5.95?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*g + 2*g - 17*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -7 + (11 - 49) + 12 + 7.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 1493*t + 39. Let b(u) = 213*u + 5. Determine -15*b(f) + 2*k(f).\nAnswer: -209*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(6)*1 - sqrt(2)) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -191 + 41*h - 186 + 564 - 188 as m + o*h and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7340 + -7337. Solve -d*k - n - 15 = -4*n, -2*n = -3*k - 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a8e (base 16) in base 8?\nAnswer: -45216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**2 + 1871*s - 1871*s - s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -5. Let f(a) = -a**3 - 5*a**2 - 2*a - 12. Give f(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -121.04 - 27.66. Let v = i + 141.41. Let c = 7.29301 + v. What is c rounded to four decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2526127809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 98256713?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20*b**3*n - b*n**3 - 168*n**3 wrt b.\nAnswer: -60*b**2*n - n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (519*c**2 - 261*c**2 - 256*c**2 - 8*c)*(2*c - 2*c + c).\nAnswer: 2*c**3 - 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {v: 8, d: 3, q: 7}?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -3843\nAnswer: 7686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 248, 388, 624, 956, 1384, 1908?\nAnswer: 2528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227801 is divided by 11989?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 148, 249, 360, 487, 636, 813, 1024, 1275?\nAnswer: 1572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 338?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2326 + -2222. What is the highest common factor of u and 468?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -g**4\/4 - 7*g**3\/3 - 7*g**2\/2 - 3*g - 24. Give k(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*d - 3*d**4)*(4*d + 3 - 3).\nAnswer: -12*d**5 + 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/20*(-20)\/24. Let t be 23\/5 + (-2)\/(-5). Suppose -r - 10 = t*o, r - 9 - 11 = 5*o. Which is the second smallest value? (a) w (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 15 = 55. Let d be 8\/(-1 + -3)*-14. What is the greatest common factor of d and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 3, 6, 1, -143.\nAnswer: -143, -2, 1, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, o: 2, f: 1, i: 1, b: 2, u: 1}. Give prob of sequence ggb.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 76982 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 294\/58 - (-49 - 99610\/(-2030)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = w + 5*o, -4626*w + 2*o = -4639*w - 134 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108774 is divided by 9868?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 132096 and 7418158?\nAnswer: 7286062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -r**2*v**3 - 15*r**2 + 200*r*v - 24*v**3 wrt v?\nAnswer: -6*r**2*v - 144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/13))**(-17\/6)\/(d**6\/((d\/d**1)\/d)) assuming d is positive.\nAnswer: d**(-256\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 + 2)\/3*(-3)\/6. What is the units digit of (-2)\/((-15)\/(-20)*v\/3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8579 - -8750. Solve -4*p + 199 = a for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t**3 - 3*t**2 + t + 4. Let l be v(2). Let h be ((-6)\/5)\/(l\/(-60)). Is h\/(-1) - (-4 - 1009) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by -19101.\nAnswer: -15\/6367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 104310 a multiple of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68 - -71. Suppose -c*o = -6*o. Let g be 3\/(-2)*8\/(-6). Sort -3, g, o in decreasing order.\nAnswer: g, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 352818428?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 6*d**2 - 19. Let t(j) = 2*j**3 + 13*j**2 + 39. Suppose 4*r = b - 22, 0 = 2*r - 7*r + 2*b - 26. Give r*t(o) - 13*u(o).\nAnswer: o**3 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70.444897 + 70.45. What is j rounded to four decimal places?\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27.1, 977, 1.\nAnswer: 1, 27.1, 977","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 33, -3, -9, 46 in ascending order.\nAnswer: -9, -3, 4, 33, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 175714 (base 12) to base 9.\nAnswer: 674627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 7*y - 2. Let b be p(6). Let s be -9*(-4)\/8*4. Suppose h + 5*z = -s, -b*z - 2 = 14. Solve 5*c - 2*u = 9, h*c + 3*u - 15 = -0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v - 78. Determine z(-20).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - 0. Let j = s - -21. Solve m + j = 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.87 - -0.03\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (520 + 391 - 244)*(-2*u - u + 2*u + (-3 + 3 + 1)*(2*u + u - 5*u)).\nAnswer: -2001*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**5 + 39*q**4 + 138*q**3 + 66*q**2 - 141*q - 105 = 0. Calculate q.\nAnswer: -7, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*y - 311*y = -443*y - 398*y - 9270 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d + 14. Let y be i(-10). Let t = y - 42. Factor 1\/2 + 3*b**2 - 2*b - t*b**3 + 1\/2*b**4.\nAnswer: (b - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 5*d + 3. Let l be v(0). Suppose 3*o - 129 = o + l*p, -2*p = -2*o + 124. Calculate the remainder when o is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/2)\/((-1)\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4150 is divided by 320.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w - 3. Let b = 26 + -4. Let k(y) = -4*y + 14. Let m(j) = -3*j + 15. Let q(f) = 4*k(f) - 3*m(f). Give b*l(g) + 6*q(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + 0. Suppose a - t = -3. Suppose -2631 + 2731 = 2*s + 8*d, 12 = 3*d. What is the remainder when s is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -53790*n - 1. Let b(i) = 8*i. Give b(y(w)).\nAnswer: -430320*w - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1035584004 by 4.\nAnswer: -258896001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10c (base 13) to base 10\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 494885?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*o - 4*k - 17, -4*o - 5*k = 16. Let s be (-3)\/(-9) - (-74)\/30. Let x = s + -13\/5. Is o <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4 - 7. Suppose -x*o - 2*m - 3*m = 14, -20 = -4*o + 3*m. Suppose 3*b - 25 = -o*b. Is 1 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27886148.\nAnswer: 2, 19, 366923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/4 (b) -2 (c) 1258\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3\/5, 0.2 in descending order.\nAnswer: 0.2, -3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 498, 451, 372, 261?\n\"Answer: -16*q**2 + q + 513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 1332*h - 4. Suppose 0 = -j - 5*a + 1, -j + 4*a = -0*j - 10. Let s be 1*-6*3\/j. Let f be o(s). Round f to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6360 and 3480?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3 = 0, -4*k - 25 = -n - 5. What is the remainder when 27 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -6*q**3 + 6*q**2 + 6*q + 4. Let u(n) = -n**2 + 4*n + 17. Let g be u(7). Let s(k) = 11*k**3 - 11*k**2 - 11*k - 7. Give g*s(f) - 7*o(f).\nAnswer: -2*f**3 + 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**4\/24 - w**3\/6 - 2824*w**2. Let o(m) = -29*m - 4. Determine -6*c(i) + o(i).\nAnswer: -35*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 a factor of 134115592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.09 - -0.31. Which is the closest to 1? (a) v (b) -0.3 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -780*k - 4192 - 1760 = -409*k - 309*k for k.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -334850 by -334850.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -1750*x - 37101. Determine i(-21).\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4*h + 22 = -6, 4*h + 16 = 0. Let m be ((-3)\/(-9))\/((-1)\/r). Let c be 15\/(-6)*(3 - m). Round c to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + -3*sqrt(156))*-3 + sqrt(156)*-4*3)\/(sqrt(1728)*2*-6 - (sqrt(1728) + -2*sqrt(1728)*3)).\nAnswer: sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**3 + 530. Let g(v) = 2*v - 2*v - 13*v**2. Determine g(m(r)).\nAnswer: -117*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 7465259*t. Let n(x) = 16*x. Determine n(m(j)).\nAnswer: 119444144*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -137026 (base 9) to base 11.\nAnswer: -58006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 169 - 165. Suppose -3*f + 5*d = -f - 20, c*f - 40 = 5*d. Calculate the remainder when 46 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 7:48 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 - 13*h - 9. Let g be i(-5). Determine d, given that 20*d**2 - 3*d**3 - g*d**3 + 4*d**3 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2392874727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-891)\/2664*-3 - 1 and -33\/74.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/17? (a) -4 (b) -2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, m: 11}. Give prob of sequence hmmh.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -283 at least as big as -665\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273*k**3 + 152*k**3 + 133*k**3.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ad + -1?\nAnswer: ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.5 + -36496599.697?\nAnswer: -36496591.197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-14) - 110\/385)\/(-5). Solve 25*z - 27*z - a = 6, c = 2*z - 2*a + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a5800 (base 12) in base 6?\nAnswer: 13553200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g**3 - 11*g**2 + 3*g. Let d(i) = -6*i**3 + 12*i**2 - 4*i. Calculate 3*d(v) + 4*n(v).\nAnswer: 2*v**3 - 8*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 179688?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -283895*j + 283899*j - l, 3*l + 30 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times 46\nAnswer: -0.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -q + 31, -2*h = 1067*q - 988*q + 302 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/6)\/y*y\/y**0)\/((y*y\/(y*y**(4\/5)))\/((((y\/(y*(y\/y**3)\/y*y))\/y)\/y)\/y*y)))\/((y**(-9)\/y)\/(y*y**5\/y))**(17\/2) assuming y is positive.\nAnswer: y**(1912\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 179832 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00476 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -13. Let z = 38 + -29. Let s be (3\/(-3) + -2)*(-30)\/z. Calculate the greatest common factor of s and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 13*c - 15. Calculate l(9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 42 = d. Calculate the remainder when 21 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/6? (a) 0 (b) 3 (c) -0.37 (d) -2\/3305\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 11. Let i = l - -2. Let x = -24 + 24.1. Which is the closest to x? (a) 2\/9 (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/3055 and -58\/6721.\nAnswer: 33605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -35\/6*f**2 - 35\/6*f**4 - 31\/3*f**3 - f - f**5 + 0 = 0. What is f?\nAnswer: -3, -2, -1\/2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9*7\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8278907?\nAnswer: 7, 13, 90977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -1811*k**7\/210 + 29*k**4\/4 + 518*k**2. What is the second derivative of c(x) wrt x?\nAnswer: -21732*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-6) - (-7390)\/(-15). Let y = g + 160. Let t = y + 1343\/4. What is the common denominator of -63\/10 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2824*t + 461*t + 330820 for t.\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3477 - 5956. Let z be (2\/1)\/(h\/(-2480) + -1). What is z rounded to the nearest one hundred?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/45)\/k**(-26) assuming k is positive.\nAnswer: k**(1172\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-12) + 0\/5. What is the third smallest value in -0.4, 1\/3, w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3396 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 47\/4 of a microgram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15203 (base 6) to base 14.\nAnswer: c71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 308, 504, 700?\nAnswer: 896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 46*n**2 + 245*n + 182. Let g be r(-40). Suppose 0 = -v - 1 + 6. Which is smaller: v or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/14 + (-71777742)\/(-21). Suppose -i + 1199200 + n = 0. Let f = 717188 - i. What is f rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3498655?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/4 + -3 + -3. Let b(g) = -9*g**3 + 3*g**2 + 4*g + 2. Let m be b(j). Suppose 4*y = -5*f + m + 81, 0 = 2*f - 4*y - 86. List the prime factors of f.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.71 + 10.29. Which is the smallest value? (a) 1\/2 (b) -1\/6 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -8*z**2 + 0 + 7\/30*z**5 + 1\/12*z**4 - 1\/6*z**3 + 0*z. Calculate the remainder when q(-2) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1)**19)**(-3\/2)\/((u**(-2))**(-5\/6)\/(u*u**2*u**7\/u)) assuming u is positive.\nAnswer: u**(-127\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1933 + 0.09. Round z to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/12)\/((-2)\/6). Let m = g + -4. Is 4 a factor of 108\/8*(-4)\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**4\/3 + 22*o**3\/3 - 20*o**2 + 11*o. Find i, given that b(i) = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2747? (a) 1 (b) 857 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29592, 29533, 29434, 29295?\nAnswer: 29116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w**2 - 4*w**3 + 0*w**3 + 0*w**2 + 8*w - 6 + 3*w**2. Let q(d) = d**4 - 4*d**3 + 9*d**2 + 8*d - 5. Let s(b) = -2*q(b) + 3*y(b). Factor s(r).\nAnswer: -2*(r - 1)**2*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4557, 6883, 9455, 12273?\n\"Answer: 123*f**2 + 1957*f + 2477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -371476, -1486570, -3345058, -5946940, -9292216, -13380886?\n\"Answer: -371697*m**2 - 3*m + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - -14. Let c = i + -18. Solve 20 = c*o - o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -1, 1, 0.07, 19?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**3 - 5*q**2 + q + 3. What is f(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, -42\/17, 5 in decreasing order.\nAnswer: 5, -4\/9, -42\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -318*u**3 - 189*u.\nAnswer: -1908*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (0 - -3 - (2 + -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 1 - 2*b**2 - 2 + b + b**2. Let s(y) = 2*y**3 + y - 1. Let v(f) = -g(f) + s(f). Suppose v(q) = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 110*y - 1547. What is q(14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*p + 7, -2*p = -7*d + 8*d - 9. Let a(i) be the first derivative of 1\/18*i**4 + 0*i**3 + 0*i + 4 + 0*i**5 + 0*i**p - 1\/27*i**6. Factor a(u).\nAnswer: -2*u**3*(u - 1)*(u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 9*r**3 + 5*r**2\/2 + 3*r + 124. What is the hundreds digit of n(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6634*n = 6738*n + 520 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 less than -15228?\nAnswer: -15329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -4 + 5 + -2 + -10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*n + 3, n + 3*g = -0*g + 12. Suppose 0 = n*h + 6, -3*h = 3*j - 2 - 4. Suppose 20 = 9*l - j*l. Solve -2 - 1 = 3*y + 5*c, y + 8 = -l*c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 1725*d + 18. Give i(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16171 is divided by 75?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 896624835?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 225*j**2. Let u(q) be the second derivative of -q**5\/30 - 95*q**2\/2 - 4*q + 6. Let d(s) be the first derivative of u(s). Give r(d(l)).\nAnswer: 900*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 612, 1228, 1844, 2460?\n\"Answer: 616*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -13*s + s**2 + 2*s**2 - 7*s**3 + 540 - 535. Let b(z) = -3*z**3 + z**2 - 6*z + 2. Calculate 5*b(w) - 2*p(w).\nAnswer: -w**3 - w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 3) + (16*(-1854)\/2088 - -9)?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115511*t - 38506*t - 38505*t - 38491*t.\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -7*c + 1. Let k(o) be the third derivative of -o**6\/180 - 7*o**4\/24 + 10*o**2. Let f(w) be the second derivative of k(w). Determine -5*f(j) + 3*n(j).\nAnswer: -j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 0*a**2 + 13*a - 35\/4*a**4 + 0*a**3 + 29. Differentiate b(n) with respect to n.\nAnswer: -105*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143754 divided by -71877.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 8 = -28. Let s be (-12)\/g*(-9)\/(-2). Put -1, -4, s in ascending order.\nAnswer: -4, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13748370 is divided by 191.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1586103, -31 in decreasing order.\nAnswer: -6, -31, -1586103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4404 from 33.975.\nAnswer: 4437.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 5*z + 107. Let c be y(-14). Let u = c + 162. Solve 7*q = 3*q - u*h + 11, 0 = q - 3*h + 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o + 13. Let w be z(-7). Let p(n) = 4*n + 5. Let y(s) = -s - 1. What is w*y(k) - 3*p(k)?\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.07166708 + 97585495\nAnswer: 97585495.07166708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -56604?\nAnswer: -56612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2*j + (-j + 4*j - 2*j)*(2 + 1 - 5) - j - 4 + 4)*(-59 - 128 + 7).\nAnswer: 900*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 + 3*w**2 + 2*w - 7. Let f(k) = -k**3 + k. Determine -5*f(y) + u(y).\nAnswer: 3*y**3 + 3*y**2 - 3*y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/(-14))\/((-10)\/35). Suppose -6*v + 20 = -f. Determine m, given that -9\/2*m**v + 1\/2*m**2 + 0 + 1\/6*m - 3\/2*m**3 = 0.\nAnswer: -1\/3, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14 times 60?\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*k - 327*k = 1380 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(400)\/(sqrt(250)*2))\/(sqrt(512) + sqrt(512)*5*3))**2.\nAnswer: 1\/327680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (31\/3)\/(7\/63) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 26?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*z**2 + 32075*z + 2790 = 0.\nAnswer: -2\/23, 279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 1970 = 5*p, 4*w - 4 = 16. Let j = 551 - p. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12395532 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 260 and 193212188.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - -0.2. Let b = -18 - -14.3. Let h = b - 0.3. What is the third smallest value in h, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.000621 and -0.2019.\nAnswer: -0.202521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8046443?\nAnswer: 19, 423497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 3*i - 10, 318*i - 159*i - 17 = -x + 150*i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 769595.6ms in seconds?\nAnswer: 769.5956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*w + 4*w. Suppose -4*g - g + 4*x = -w, 5*g - 40 = -5*x. What is the second derivative of 38*k**2 - g*k - 38*k**2 + k**3 wrt k?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8970 and 17940.\nAnswer: 17940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 26. Let r = -351 - -352. Does r = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4900099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2520 - -53066?\nAnswer: 50546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7678324*c**2*l**2*z - c*l**2*z - 7*c*l**2 - 2*c*l - 1298*l**2*z + 5*z wrt c?\nAnswer: 15356648*l**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 372173360 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 3:30 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62946 by 6.\nAnswer: -10491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -28204, -112804, -253802, -451198, -704992, -1015184, -1381774?\n\"Answer: -28199*m**2 - 3*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 245503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -77*h**4\/6 + 97*h**3\/6 + 116*h - 2. Find the second derivative of v(j) wrt j.\nAnswer: -308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0*a - 1. Let u be 2 - (0 + -1 + 13). Let t be (6 + -4)\/(1 + u). Do t and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + y + 13, 708*y - 33 = -5*f + 710*y for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of w**4\/6 + 4*w**3 + 36*w**2 + 20*w. Determine l so that g(l) = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -v**5\/60 - 5*v**4\/24 + 5*v**3\/6 - 26*v**2 - 122. Let s(z) be the second derivative of k(z). Determine s(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 1239.\nAnswer: -4\/1239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 303576196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 6*r - 241. Calculate f(41).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5\/3 (b) 0.4 (c) -4 (d) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.9322 to one decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 13 = -4*q, 1 = -3*u + 4*q - 4. What are the prime factors of u\/(3\/2) + 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-13)\/h**(-6\/7) assuming h is positive.\nAnswer: h**(-85\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14972710 to the nearest integer?\nAnswer: 3869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/4 or 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 >= 409?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 11. Suppose -39 = -7*g - 18. Sort g, i, 0 in descending order.\nAnswer: g, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 6:47 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 8*g + 67860 = 3*g, -4*g = 5*n - 67824. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + -12)*(-2 - 1). Let t(x) = -19*x - 13. Let q(i) = -33*i - 7. Let y(m) = 21*m + 4. Let u(p) = -2*q(p) - 3*y(p). What is h*u(o) + 6*t(o)?\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, 1, -63, -4, -13 in ascending order.\nAnswer: -63, -13, -7, -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 2*d**7\/21 + 2*d**6\/15 - d**5\/5 - d**4\/3 - 12*d. Factor l(m).\nAnswer: 4*m**2*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w**3 - 260*w**2 + 18*w - 1119. Give u(65).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**7*x\/(x*x**(-2))*x**4*(x*((x*(x\/(x\/x**(-2))*x)\/x)\/x)\/x*x)\/x assuming x is positive.\nAnswer: x**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100110001101110 + -1000?\nAnswer: 1100110001100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 76\/5 of a millennium?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-46)\/84 + (-2)\/(-6). Is d > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u + 5*u + 0*u - 2*u - 3*u + 2*u + 1 - 1 - u + (-3 + 1 + 3)*(3 + 2*u - 3) + 3*u + 0*u - 2*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57 - 44 + 30)*(-7*y**3 - 10*y**3 + 21*y**3).\nAnswer: -284*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7417?\nAnswer: 7417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, b: 2}. Give prob of sequence bbo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 77\/56 + (-30305)\/(-40) a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 23354956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1840 times 8583.1?\nAnswer: -15792904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 151759877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3 + 5 = 0. Let h(z) = i*z + 2 - 3*z + 0. Let u be ((-8)\/(-304)*118 - 50\/475)*-2. Calculate h(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15716273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -207.5206.\nAnswer: 103.7603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8d1 (base 16) to base 14.\nAnswer: -b73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4211, 8400, 12589, 16778, 20967, 25156?\n\"Answer: 4189*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + -21. Is j greater than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -163 - -163. Suppose -4*m + 5*s + 619 = a, 2*m - 5*s + 0*s - 317 = 0. What is the remainder when m is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -111110100011101100011110001?\nAnswer: 111110100011101100011110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 221.8 * -1\nAnswer: -221.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - (4 + 0\/1). Sort s, 5, 2.\nAnswer: s, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4*u**2. Let f(g) = -5*g**2 - g - 1. Let z(v) = 3*f(v) - 4*k(v). What are the prime factors of z(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7071.266l in millilitres?\nAnswer: 7071266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -179489, -358946, -538389, -717818, -897233, -1076634, -1256021?\nAnswer: -1435394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 5*k - 4*w, -5*k - 11*w = 1692715 - 1692673 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (25\/10)\/(((-5)\/4)\/(-1)). Solve 0 = -m + 3*x - 1, -v*x - 2 + 0 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334052039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -m**4\/12 - m**3\/2 - 7*m**2\/2 + 83*m. Calculate r(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -29, 1 in descending order.\nAnswer: 1, -25, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -8*q + 20. Calculate the least common multiple of q and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61407163.\nAnswer: 61407163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**4 + 55*n**3 + 130*n**2.\nAnswer: -5*n**2*(n - 13)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1\/30 (b) 5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**2 + 26316*d + 173132964 = 0.\nAnswer: -13158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 4*d**2 - 5*d**2)*(78*d + 3*d + 39*d).\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y + 1. Let p be b(-10). Suppose -2*l + 39 = p*l. What is the second derivative of -353*u**l - 13*u**5 - 23*u + 353*u**3 wrt u?\nAnswer: -260*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -373*b*j**3 - 5129*b*j**2 + 12*b*j - 256*j**4 wrt j?\nAnswer: -2238*b - 6144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-12) - (-20)\/16. What is the common denominator of 85\/22 and 1*c*83\/24?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 293, 1194, 2695, 4796?\n\"Answer: 300*x**2 + x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 8*i**2 - 8*i - 20. Give s(9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 (base 11) in base 6?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 25*y**3 - 26*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 509?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2555, -0.03, 23\/5 in increasing order.\nAnswer: -0.03, 23\/5, 2555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 2. Let b be j(4). Suppose -4*m - 16 = b*y, -3*y + 21 = -5*m + 2*m. Solve 0 = 4*k + 2*c + c + 5, 0 = -4*k - y*c - 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/4 and 1\/153670?\nAnswer: 307340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350963?\nAnswer: 350963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1341913, 4 in decreasing order.\nAnswer: 1341913, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 4:34 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-4 + sqrt(425) + (-3 + 1 + sqrt(425) - sqrt(425)) + sqrt(425) + -1 + sqrt(425) + -1 + 4 + -5)*1)**2.\nAnswer: -270*sqrt(17) + 3906","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15728, 13520, 11310, 9098?\n\"Answer: -o**2 - 2205*o + 17934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 342517?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -9 + 24. Suppose 0 = 2*b - b + a*b. Suppose 0 = 3*t - 0 + 12. Sort t, b, -2 in decreasing order.\nAnswer: b, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/10081 or -1?\nAnswer: -8\/10081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1993640761.\nAnswer: 7, 79, 283, 12739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 5 = -p, -39*p + 41*p = -5*x + 13 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 3. Let z be l(1). Suppose v - 4*o = -6, -3*v + 10 = -0*v + z*o. Let n be (-1)\/(v\/(-18)) + -1. Do n and 5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from giuroiuimiriuuriuioi. What is prob of sequence umig?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*c + 3512, c - 476 = 3*i + 1278. Suppose -11*f + c = -f. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5567 and 1007.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/3, 16869\/8, 214?\nAnswer: 16869\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -11 (c) -1 (d) -1\/16 (e) 1 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41844527 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**6\/240 + v**5\/120 - v**4\/48 - v**3\/12 - 5*v**2 - 7*v. Let i(h) be the first derivative of r(h). Factor i(z).\nAnswer: (z - 1)*(z + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 141. Give r(-38).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 3, 79, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80 + -87. Let r be 7\/49 - 1322\/z. What is the highest common factor of r and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -8*h + 210. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*u**2*z**4 + 4*u**2*z**2 + 5*u**2 - 6*u*z**3 - 2*z - 8 wrt z.\nAnswer: 60*u**2*z**2 + 8*u**2 - 36*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.109, 0.4, 2, -2\/3, -0.5?\nAnswer: -0.109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 5. Suppose -a*w + 1 = -29. Suppose 0 = 5*v - 0*v - 100. What is the highest common divisor of w and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 7:09 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + -2 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9873830?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26639\/366666 + -1\/5314. Which is smaller: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - 4*2\/4. Let k be (-4)\/(-6) - (-4)\/(-15). Suppose 3*g = g + 10. Which is the closest to 1\/3? (a) q (b) k (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12\/5*t**3 - 24\/5*t + 2\/5*t**4 + 8\/5 + 26\/5*t**2 = 0. What is t?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 573, -4, 6, -15, -552 in increasing order.\nAnswer: -552, -15, -4, 6, 573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129685 is divided by 116.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9111 + 11339. Factor 51*h**2 - 4*h**3 + 88 + 5*h**2 + u*h - 20590*h.\nAnswer: -4*(h - 11)*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -51159988 not equal to -51159989?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/39, 3\/2, -3, -7955 in ascending order.\nAnswer: -7955, -3, -2\/39, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**4 + 0*o**4 + 4*o**4)*(-2 + 1 - 2)*(-1 + 4 - 1)*(0 + 1 + 2).\nAnswer: -36*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 - 3 + 4 + 12*p**2.\nAnswer: 12*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 808 and 12827?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 287773486 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(1952\/320 - (0 + 6\/(-15)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000 (base 2) in base 7?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5 + -2*(1*(sqrt(1872) + 0) + 1*(sqrt(1872) + 0)))**2.\nAnswer: -96*sqrt(13) + 29953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.02 and 640 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72447065, -144894128, -217341191, -289788254?\nAnswer: -362235317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99421.823023 - -0.3.\nAnswer: -99421.523023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p - 11. Let x be f(3). What is the units digit of 3*x*2\/24*-1402?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 11 = u + 5, 0 = -u - 3*v - 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97658?\nAnswer: 2, 11, 23, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 19 and -411.\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 323391276 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.8 + 2.5. Sort -0.04, -1\/4, v in increasing order.\nAnswer: v, -1\/4, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-6))\/((-31)\/93)*128*-4. What is the greatest common factor of 632 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.029883 - 120?\nAnswer: -147.029883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -4*w + 48, 0 = -323*x + 321*x - 2*w + 24 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2267 is divided by 143.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-249 - 186 - 110)*(-2*a - a + a).\nAnswer: 1090*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - z - 7*z)*(4 + 1 - 2).\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - -0.2. Let z = s + -18.2. Which is the nearest to 11? (a) 0.3 (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*u + u**3 + 4*u)*(-3*u + 11 - 11) - 3*u**3 + 2*u**4 - 2*u**2 + 2*u**2 to q*u**4 + c*u**3 + k*u + z + w*u**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**3 + 9*m**5 + m**5 - 9*m - 2*m**3 wrt m.\nAnswer: 200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 94, 5, 3, -4, -1, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*f + 200, 3*n + 160 = 7*n - 4*f. Let a = n + -27. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-88) + (-332)\/(-14608)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - g)*(2 + 1 - 4)*((0*g - 2*g**2 + 0*g)*(-4*g**2 - 3*g**2 + 2*g**2) - g**4 + 4*g**4 + 0*g**4).\nAnswer: 13*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2075*h + 123646 - 43474 = 152*h for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6*d**2 - 2*d - 2. Calculate the smallest common multiple of (-12)\/4*(-8)\/3 and y(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 5*u**2 + 5*u + 9. What are the prime factors of k(-14)?\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5359.472893 - 4781.4728112. Let g = y - 578. What is g rounded to 6 decimal places?\nAnswer: 0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 + 95 + -20 + 26 - (-11 + 0)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 + (23 + (64 - 73) - (36 - 1))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (14\/8)\/(2\/8). Suppose t + 3*k = 17, -2*t + 2*k = t - u. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - 5*b + 52, -5*g - 15*b + 460 = 30*b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 204 + -89. Let o = 114.9927 - h. Round o to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 5 - 15. Solve -5*j - r = 5, -j + 4*r + 20 = p*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vww when three letters picked without replacement from {w: 2, v: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 5*w**4 - 10060*w**3 + 30150*w**2 - 30140*w + 10045 = 0.\nAnswer: 1, 2009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -20*x. Let l(h) be the third derivative of -h**4\/12 + 2*h**2. Calculate y(l(q)).\nAnswer: 40*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -238082 and -1428493\/6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 + -59. Let r(i) = i**2 - 7*i - 5. Let g be r(7). What is the nearest to -0.2 in d, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -17*n - 6. Let d be h(5). Let k = d + 163. Suppose -6*c - k = -552. Is 16 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, r: 2, b: 5, l: 1}. Give prob of sequence rli.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 48 (b) 1\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10755 + 0\nAnswer: -10755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**5\/3 - 47900*m**4\/3 - 239618*m**3 - 2300552*m**2\/3 - 2108920*m\/3 = 0. Calculate m.\nAnswer: -11, -2, 0, 23965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 29979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 6580580\nAnswer: 1\/1645145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (54 - 0) + 2\/8*20. Suppose 8*w - m*w = -7395. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -30*h**2 + 209*h - 3. Give m(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 224 + -103. Let n = m + 298. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 81*c**2 - 1154*c + 401. What is v(-65)?\nAnswer: 7811","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h**2 - 8*h + 19. Let n(z) = 14*z**2 - 22*z + 52. Let v(f) = 11*m(f) - 4*n(f). Let u(y) = 10*y**3 + 70*y**2 - 70. Give 2*u(a) + 140*v(a).\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {b: 2, e: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**3 - p**3 + 5*p - 5*p.\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - 29) + 59 + -4 + -4 + (4 - 2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 + 23. Let n be ((-50)\/(-30))\/(r\/(-6)). Suppose 0*h + 5*b = n*h - 32, 2*h - 2*b = 38. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**10\/840 - d**6\/180 - 4*d**3\/3 + 6. Let x(m) be the third derivative of g(m). What is the third derivative of x(f) wrt f?\nAnswer: 720*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mzmzmmmzmz. Give prob of sequence zm.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 171.1326 to 1 dp.\nAnswer: 171.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13611, -27238, -40865?\n\"Answer: -13627*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27886703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 c when two letters picked without replacement from ipcceceissciiiiiiecp?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*y - 5*f + 19, -y + 5*f = 13. Let r be y\/2*24\/(-18). Let k(t) = -3*t**r + 0*t**2 - 2*t**2 + 3*t**2. Let z(x) = -19*x. Give z(k(d)).\nAnswer: 38*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -109*i + 3. Let w be m(-1). Let z = w + 1. Suppose -3*l + 67 + z = 4*n, 0 = -2*n - l + 92. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41*l**5 - 258*l**4 + 80824*l**2?\nAnswer: -2460*l**2 - 6192*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 93021804 and 58815?\nAnswer: 11763","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-5) - (63\/15)\/3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = a - 1, 3*h - a - 23 = 4*a for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 24*h + 20*h = -10, 4*h - 14 = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*i + 4229*i - 188958 = 0 for i.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 87.79 times 2\nAnswer: 175.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 4. Let c(u) = -15*u - 12. Let i be c(-1). Calculate y(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75 - -72. Is 5 a factor of 1162\/56 + u\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 9 = 0, 17*u = 13*u - 5*h + 233. Solve -u*a + 18*a + 44 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3696 - -4836. What is the greatest common divisor of 300 and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 39, -2 in decreasing order.\nAnswer: 39, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 5*b**3\/3 - 2*b**2 - 4*b + 320. Let m(y) = -6*y**2 + 3*y + 3. Let a = -101 - -97. Give a*m(q) - 3*x(q).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1100 + -13002?\nAnswer: -20102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(4\/5)*a*a)\/a**12)\/(a**(-2\/19)\/(((a\/(a*a**17\/a))\/a)\/a)) assuming a is positive.\nAnswer: a**(-2479\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l**2 + 244*l - 28. Calculate w(-61).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2147?\nAnswer: 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 9*p**2 - 5*p + 12. Give z(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6a6 - 2b91?\nAnswer: -3457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 8:02 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37271591 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4*u = 2120, 2*z + 2*u = 5*u + 1075. Let o(m) = 4*m + z - 533. Let j(d) be the third derivative of d**5\/60 - d**2. Determine o(j(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((u**(3\/14)*u)\/u)**(-7))**(-1\/68))**(-6\/5))**(-2\/43) assuming u is positive.\nAnswer: u**(9\/7310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*t)*(130 + 14 - 29)*(t - 3*t + 0*t).\nAnswer: -460*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + -2*((0 + sqrt(252) + 3)*2 + -4)*-2).\nAnswer: 44 + 192*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x**3 + 3*x**2 - 36*x - 209. What are the prime factors of j(-8)?\nAnswer: 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-12)\/(h\/h**(-2\/11)))**26*(h**0\/h)**(-11\/4)\/(h**(-2\/5)*h*h*h*h**4*h) assuming h is positive.\nAnswer: h**(-76467\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a week in minutes?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 - -0.162238?\nAnswer: -37.837762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 8 + 8 + 10*g**2 + 47*g**3 - 46*g**3 + 4*g - 12*g**2 to the form r + j*g**2 + f*g**3 + z*g and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1776043 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 1947*k - 1944*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -110, 5, 4, 2, -2 in descending order.\nAnswer: 5, 4, 2, -2, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106231, -105963, -105517, -104893?\nAnswer: -104091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a centimeter in micrometers?\nAnswer: 68000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 220051, 220061, 220085, 220129, 220199, 220301?\nAnswer: 220441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qooquqqoqquuu. Give prob of sequence qo.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -127388.2889 rounded to the nearest one hundred?\nAnswer: -127400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -513*v + 512*v - 4, 0 = -4*z + 2*v + 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7*d**2 - 7*d - 7. Suppose -3*a - 3*w + 2 + 10 = 0, 0 = 5*a + 4*w - 22. Let t(z) = -z**3 + 6*z**2 - 6*z - 6. Calculate a*k(q) - 7*t(q).\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 33, 50, 69?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7438680.\nAnswer: 2, 3, 5, 20663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 4 = -5*q. Let j(k) = 2*k - k**2 - 7 - 2*k**2 - q*k**2 + k**3. Let b be (-28)\/12*-3 - 2. Give j(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1282, 1480, 1658, 1816?\nAnswer: 1954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*u = -2*u - 13152797, 5261122 = 2*z + 2*u. Let y = -202556138\/77 + z. Let s = -735\/22 - y. Find the common denominator of s and 91\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0\/1 + 8980 + -23 + -11?\nAnswer: 2, 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 3:30 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.1, -3, -1.4, -13.5, 14 in descending order.\nAnswer: 14, 0.1, -1.4, -3, -5, -13.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 7. Let v be j(0). Suppose 0 = 2*o + 13 - 13. Suppose 3*h - 5*b - 8 = o, 6*h - 3*h = 4*b + v. Calculate the highest common factor of h and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + sqrt(704)*-1 - (sqrt(704) + -4*(4 + sqrt(704)))**2).\nAnswer: -26376 - 3104*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**4 + 165*y**3 + 25038*y**2 + 756444*y + 7012824 = 0. What is y?\nAnswer: -26, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 11*b**4\/4 - 5*b**3\/3 + 9*b**2 - 37. Let w(d) = -22*d + 3. Give -3*j(y) - 10*w(y).\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*u - 11 = 0, -r + 5*u + 13 = 2. What is the units digit of (-390)\/(-33) - (-2)\/r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - -34 - (0 + -3). Let c be (j\/(-4))\/5*4. Is (c\/(-4))\/((-3)\/(-36)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.2852853 - -402?\nAnswer: 408.2852853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 8*x**2 + 3*x + 3. Let z(y) = -10*y**2 - 3*y - 4. Let w(v) = -4*d(v) - 3*z(v). Let h(r) = -r**2. Give h(w(m)).\nAnswer: -4*m**4 - 12*m**3 - 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 u when four letters picked without replacement from {z: 2, f: 2, u: 5, y: 8}?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 1)*(2 - 2 + 3)*(o**5 + o**4 - o**4).\nAnswer: 9*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 89041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6*b + 5 = 0. Let n = 2892 + -2879. Which is greater: n or b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12724 is divided by 85?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/((-4)\/(24\/9)). Calculate the greatest common factor of k and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9 + (1 - 0 - (-8 + 14)). Solve 5*p = o*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1728 = 3*d + 15*d. Let z be (d\/(-33) - -3)\/(17\/2091). Is 12 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 1002?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, h: 2, o: 1, t: 1, p: 2}. What is prob of sequence pnh?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -105.4 - -116.4. Let s be (-10)\/(-12)*48\/300. Which is smaller: s or z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 + 0. What is the remainder when (112\/(-42))\/(-4)*(0 - -147) is divided by d?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -765*r - 160. Let w(z) = -19*z - 4. Let b(t) = -m(t) + 40*w(t). Let p(k) = -223*k. Determine b(p(x)).\nAnswer: -1115*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 r when two letters picked without replacement from {s: 1, r: 7, l: 5, m: 3}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07068 - -5.07068. Let h = -1 - -0.6. What is the nearest to h in -1, 0.5, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -107 - -113. Let x be (11\/(99\/o))\/2. Which is the second biggest value? (a) -0.09 (b) 2\/3 (c) 0.01 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(4\/7)\/((l*l**(-20))\/l*l)*(l*l**(-2\/3))**(-2\/57) assuming l is positive.\nAnswer: l**(23413\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 517 and 329?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 377960, 755920, 1133882, 1511846, 1889812, 2267780?\n\"Answer: k**2 + 377957*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -210 divided by -4\nAnswer: 105\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(76) + 1)**2.\nAnswer: 4*sqrt(19) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -6*w**2 - 82*w - 2. What is a(-13)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 71253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/7 of a week?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 7*w + 2. Let p = 6 - 3. Suppose -p*c = 2*c - 40. What is the remainder when m(c) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -0.2, -7, 3, 31?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8007 and -3135.\nAnswer: 25101945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 0*f + 14*f)*(0*f + 3*f + 0*f) + 1 - 3*f + 2*f + f**2 + 0*f**2.\nAnswer: 46*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 163 (b) 146 (c) 0.6 (d) -2\/3 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -27, -27, -13, 21, 81, 173, 303?\nAnswer: 477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 554501 (base 6) in base 11?\nAnswer: 31957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66031 (base 8) to base 14.\nAnswer: -a129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1562, -1236, -692, 70, 1050, 2248?\n\"Answer: 109*n**2 - n - 1670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (56\/90)\/((-11494)\/(-9852))*(-10)\/(-264)\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 212373100?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4160 - 3810. What is the lowest common multiple of 350 and w?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffnnffffnfn. Give prob of sequence nnn.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51.03 + -51. What is the second biggest value in -0.4, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 + -24 - 5) + (30 - 65) + (-4 - -5).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 209bcd (base 14) in base 6?\nAnswer: 35345001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + -cc93180?\nAnswer: -cc93178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 34794667861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15410 and 7011550?\nAnswer: 7011550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 111 - -190?\nAnswer: 2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of k**6\/120 + k**5\/10 + k**4\/8 + k**3 - 8*k**2 + 3*k + 3. Let v(m) be the first derivative of f(m). What is v(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = -p - 3*g + 86, -p + 4*g - 5 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 102*d**2 + 739*d + 118. Determine s(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.05 (b) 3 (c) 0.4 (d) -0.4 (e) 0.1 (f) -474\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - p. Let u(h) = -15*h**2 + 18*h + 1. Let j(c) = -3*o(c) + u(c). Find the second derivative of j(i) wrt i.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) 0.04 (b) 4 (c) -25 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence si when two letters picked without replacement from siiddsiidissids?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06925 - 3034.73?\nAnswer: -3034.79925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p = -5*p + p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q**2 - 7*q + 18. What is k(3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -56 (b) -0.2 (c) 0.08 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6026a425 + -5?\nAnswer: 6026a420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w - 9. Suppose -25 = -k - 0*x - 3*x, -3*k + 79 = 5*x. Calculate the remainder when k is divided by g(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 272499323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 256444.74 months to decades.\nAnswer: 2137.0395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 263 (b) -13.6 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(-2)\/3*12. Let t = j + 20. Find the common denominator of 27\/4 and (113\/t)\/(35\/(-10)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 4. Give f(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**7)*j**(1\/3))\/(j**1\/j)**(3\/13)*j**(2\/13)*j\/((((j*j\/j**(-1\/2))\/j)\/j)\/j)*(j\/j**(-4\/11))\/(j**5*j*j*j) assuming j is positive.\nAnswer: j**(2017\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.226815551217 - -20\nAnswer: 20.226815551217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*v - 910 - 3394 = 255*v + 92*v for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y + 390 = -3*g + 462, 0 = -5*y + 8*y - 4*g - 10 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/392 - 7041\/1960. Let t be 59\/5*(-2)\/6. Let b = z - t. What is the second biggest value in -6, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1097304 by -322.\nAnswer: -548652\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1188, 1186, 1182, 1176, 1168, 1158?\nAnswer: 1146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 22224, 19044, 15854, 12648, 9420, 6164, 2874?\n\"Answer: -m**3 + m**2 - 3176*m + 25400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by 1353\nAnswer: 19\/1353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209148 is divided by 51849.\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.4 + -68.4. Let z = 67.0000043 + k. Round z to 7 decimal places.\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 y when two letters picked without replacement from {y: 2, b: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -0.2, -29, -0.3?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*h - 297 = -958 - 221 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31702 + 15848 + 15852 - 4*n.\nAnswer: -4*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 87*t - 334. What is the thousands digit of k(47)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 519 (base 14) to base 16.\nAnswer: 3eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + b - 7. Let q = -13 + 8. Calculate the remainder when k(q) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 2*j + 4. Let k be g(3). Suppose 4*b = 19 + k. What is the highest common factor of 11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2 + 4 - -6 - -1 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -5*i**3 + 85*i**2 + 1445*i - 24565 = 0?\nAnswer: -17, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.643 rounded to 1 decimal place?\nAnswer: 21.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*r = 412 + 1036, -5*u + 2*r + 1822 = 0. Let g(f) = 366 + 7*f - u. Let m(b) be the second derivative of b**4\/12 + b. What is g(m(o))?\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2107968.7692 rounded to the nearest 10000?\nAnswer: -2110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-24 + -1)) + -22 + 12 + 17?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8 + -660)\/(-1 + -1). Let v(p) = 982*p - 327*p - 331*p - a*p. Let q(s) = 32*s**2. What is q(v(k))?\nAnswer: 128*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 735*y**4 - 33*y**3 - y**2 - 105259*y wrt y.\nAnswer: 8820*y**2 - 198*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 272896 divided by -41.\nAnswer: -6656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 7.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -5*h**2 - 45*h + 8. Let i be j(-9). Solve 3*m - 5 = u - 10, 2*u = 5*m + i for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.12 + 7. Let k = -209.0273 + 0.0273. Let g = 208 + k. Which is bigger: g or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/(-6) + (-9)\/(-36)*-2. Let v be ((-2)\/(-188))\/(-9*t\/72). Which is the nearest to v? (a) -1\/3 (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1017595 smaller than 1017595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 167\/138 (b) -1.2 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -16\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -92*o - 1384. Give i(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**4\/7 - 42*w**3 + 2024*w**2 + 1079160*w\/7 = 0. Calculate w.\nAnswer: -170, -46, 0, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.16, -11, 2, 0.1, 3\/5 in decreasing order.\nAnswer: 4, 2, 3\/5, 0.1, -0.16, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.2 - -0.57. Let k = h - -1.68. What is the second smallest value in -1, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(405\/10)*-3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 281815413 and 0.6.\nAnswer: 281815413.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1766308988.\nAnswer: 2, 3613, 122219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-3)*(-30)\/75*7\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1, -12, -17, -16?\n\"Answer: 3*q**2 - 20*q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2167314 and 0.0505.\nAnswer: 0.2672314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3754 + -3772. Let v = -18.9 + 20. Is x less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3675.05 and -0.157.\nAnswer: -3675.207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -85.88428066754 - -9\nAnswer: -76.88428066754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 0. Let d be 0 + x\/(1 - 2). Find the second derivative of -d*l + 0*l - 4*l**3 + l + 4*l wrt l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33198 is divided by 1133.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4153, 3418, 2683?\nAnswer: 1948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 216204192 divided by 54051048?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163521.\nAnswer: 3, 18169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 170177?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8019 and 45177.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 - 5*o - 9. Let i be u(4). Suppose -4*s - 170 = 5*k, -2*s = 7*k - i*k + 130. What is the remainder when 89 is divided by k\/(-2 - 3 - -4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 2. Find the common denominator of 133\/6 and (-1)\/d*(-1905)\/(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 894997859 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 + 0.08. What is i rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 797\/3 + -5540\/21. What is the common denominator of r and (-3)\/2 + 1 - -3?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4431733*g - 4431733*g + 13295189*g - 4431733*g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 + 5*s + 12. Give g(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 7*o + 7. Let l(h) = h**2 + 7*h - 6. Let i(n) = 7*l(n) + 6*r(n). Find the second derivative of i(m) wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 27*m**2 - 102*m - 28. What is the remainder when z(-23) is divided by 74?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1022019 is divided by 3946?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 693 (base 13) to base 16.\nAnswer: 46e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 91844167 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 2. Suppose 0*n + 5*n - 11 = -4*v, -2*n - 14 = -3*v. What is the second biggest value in b, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21169445 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -10, 9\/4 in descending order.\nAnswer: 9\/4, 2\/7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 419 and -3822.\nAnswer: -1601418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -54\/7*x - 135\/7 - 3\/7*x**2.\nAnswer: -3*(x + 3)*(x + 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -126\/5, -36\/47, 2\/5 in decreasing order.\nAnswer: 2\/5, -36\/47, -126\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-13602)\/74811*44\/(-50)\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/5622 and 127\/550704.\nAnswer: 516009648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -279300 to the nearest ten thousand.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 16\/12 + 1 - 12\/((-288)\/40). Factor -2\/5*d**3 - 4\/5*d**i + 0 - 2\/5*d.\nAnswer: -2*d*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*y**2 - 8*y**2 - 13*y**2 + 18*y**3.\nAnswer: 18*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.87 + -64.13. Let z = 65.5 + c. Let i = 0 - 7. Sort 4, z, i in descending order.\nAnswer: 4, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -137 - 138. Let s = 104 + x. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -64, 2\/5, 5, -2\/15, -14?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -30 + 2ba?\nAnswer: 28a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 444073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 70 * 0.07\nAnswer: 4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1220*d*k**3 + 1283019572*d - 2929*k**3 + k**2 wrt k.\nAnswer: -3660*d*k**2 - 8787*k**2 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -143 - -189. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)*k*k\/k**(-1))\/((k*k\/(k\/(k\/(k\/k**(1\/4)))))\/k*k*k)**8 assuming k is positive.\nAnswer: k**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107671?\nAnswer: 107671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -1.77, -3301, 1, 5.\nAnswer: -3301, -1.77, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 0 + 1\/6*u**3 + 9\/2*u**2 - 58*u - 1\/12*u**4. Suppose 4*p = 5*p. What is y(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((39\/91)\/(42\/49))\/(5\/(-4))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u + 2010*u**3 + 2029*u**3 + 2017*u**3 - u**4 - 6027*u**3 in the form o*u + f*u**2 + x*u**3 + d*u**4 + g and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 1\/6 (b) 12 (c) 4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-14))\/(12\/42).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4*w**3 - 81576*w**2 + 416648448*w - 7473264768 = 0.\nAnswer: 18, 10188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 431820 and 1511370?\nAnswer: 3022740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(6) + sqrt(54)\/(sqrt(81) + sqrt(9))))\/(sqrt(27)\/(sqrt(9) - (sqrt(99)\/sqrt(539) + sqrt(9)))))**2.\nAnswer: 25\/98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1541029?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/365385735 and -2\/1230255.\nAnswer: 365385735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -41611 - 20665. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 12*a**3 + 13784*a**2 - 18416*a - 18400 = 0.\nAnswer: -1150, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242*g**2 + 0*g - 2*g + 2*g.\nAnswer: -242*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 10845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**3*q**4 + 15*i**3*q - 81*i*q**4 - 7201*i*q**3 - 15161*i*q**2 + 4 wrt q?\nAnswer: 24*i**3*q - 1944*i*q - 43206*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -u + 1. Let b = 0.3 + 0.7. Let v = b + -2. Put v, -3, u in decreasing order.\nAnswer: u, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16.0828 and 87.\nAnswer: 1399.2036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from btttttbtt. What is prob of picking 2 b?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 368042406 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/31 - -43\/124. Which is the closest to 4\/7? (a) 4 (b) 0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23040 divided by 32?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*n - 7*n + 26. Let o(i) = i + 6. Let v be o(-3). Let f = 1 - v. Is n greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3 + 27*p**2 + 186*p + 160 = 0. What is p?\nAnswer: -16, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 1460, -14, -3749 in descending order.\nAnswer: 1460, 2, -1, -14, -3749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2065728 by -1272.\nAnswer: 1624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (14 + (6 - (10 - -3) - 0)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.038730468 to three decimal places.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 243207571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/((-260)\/(-30))*2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 748 - 79?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 4*f**2 + f. Suppose -5*a + 10 = -0*a. Let k = 5 - a. Suppose 4*x + 3*g = 4, 0*x - x = k*g + 8. What is y(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-40*x**3 + 0*x**3 - 12*x**3)*(-33*x - 50*x + 2*x) as w*x**2 + q + m*x**4 + g*x**3 + d*x and give m.\nAnswer: 4212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*b\/(b*b**(32\/7)))))\/b**(-9) assuming b is positive.\nAnswer: b**(38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17751 - -40900. List the prime factors of x.\nAnswer: 7, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/58 + 13\/29. Let s = -2.21 - -0.21. Let p be (12 + -5 + -5)*-2. What is the third biggest value in s, n, 2\/7, p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-288)\/960*8\/(-6)*4\/1.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 33837, 67681, 101525, 135369?\n\"Answer: 33844*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 537048 - 1611139\/3. Solve 2 + 1\/3*a**2 + h*a = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 17*u**2 + 20*u - 26. Let o be p(18). List the prime factors of (-5104)\/(-145) - 2\/o.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 3:34 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/((c**0*c)\/c))\/c)**(-7)*(c**(2\/3))**(1\/18)*((c*c\/c**(-1\/3))**(-19))**(-1\/2) assuming c is positive.\nAnswer: c**(821\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t = -22*t + a + 19, 3*t - 50 = -4*a. What is j in t*j**2 - 3\/2*j**3 + 81\/2*j + 21 = 0?\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(63) - (sqrt(63) - 1*sqrt(1008)))\/(6*1*sqrt(9)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.278729 to three dps.\nAnswer: 0.279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1804 - 3*r - 1802 + 5869 - 1868.\nAnswer: -3*r + 395","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*x**3 + 133*x**3 - 71*x**3.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 99 + -99.0000071. Round s to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*o - 90. Let x = o - -32. Suppose -k = 4*d - 6*k - 1208, -x*k + 8 = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-30)\/18*(-24)\/96. What is the second smallest value in 2, f, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2. Let p(t) = -4*t + 2. What is v(p(s))?\nAnswer: 32*s**2 - 32*s + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, q: 1, l: 6, f: 2}. Give prob of picking 2 f and 2 l.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-15)\/(j\/(j*j**(-9)*j*j)))\/(j*j**(-2\/15)*j*j)**(-10) assuming j is positive.\nAnswer: j**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - w**2 + 166*w - 348. Calculate d(0).\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a**2 - 18*a - 28 wrt a?\nAnswer: 4*a - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 7 + 4)*((2 + 1 - 4)*(4*d - 5*d + 2*d) + (0 + 0 + 1)*(4*d - 2*d + d) + 2*d + 3*d - 4*d) in the form i + q*d and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 3*t**2 + 3*t + 9. Let k = -303 - -307. Let m be f(k). Which is smaller: m or 41?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-28)\/20)\/(1\/(-5)). Let n be (-2)\/b + (-220)\/(-35). Let u be ((-9)\/n)\/(-3)*6. Solve 3*f - u = 4*t - 0, -t - 5*f - 18 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-1)\/5)\/((17\/3485)\/((-3)\/(-42))).\nAnswer: -82\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + (sqrt(720) + sqrt(720) + (sqrt(720) - (sqrt(720)*-2 + sqrt(720)))*6 - sqrt(720) - (sqrt(720) + -2*sqrt(720) + 1)))**2*5.\nAnswer: -1411450 + 16800*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -344250 divided by -510.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 110?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 83\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -5 + 0 - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 8*o**2 + 13*o + 78. What is the hundreds digit of j(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1060, -1047, -1036, -1027, -1020?\n\"Answer: -s**2 + 16*s - 1075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -18 + 28 - d - 10. Let o(r) = -4*r + 89. What is s(o(y))?\nAnswer: 4*y - 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/6)*a**4)\/(a**(2\/3)*(a**(2\/3)\/a)\/a))\/(((a*((a**(-2\/19)\/a)\/a)\/a*a*a)\/(a**0\/a*a*a))\/((a*a\/a**(1\/2))\/(a\/(a\/a**(2\/19))*a))) assuming a is positive.\nAnswer: a**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*w + 1917630 = -17*w. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3352086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a day?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 6*c - 9. Let t be (-1)\/((-9)\/162*-6). Let x(g) = 5*g - 8. Calculate t*i(l) + 4*x(l).\nAnswer: 2*l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1624824 by 298.\nAnswer: 812412\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7083?\nAnswer: 3, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 772.7399ml in litres?\nAnswer: 0.7727399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*o**2 + o**2 + 3 - 2*o**2 wrt o?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/43672778 and -67\/18.\nAnswer: 393055002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/11 (b) 4\/9 (c) 0.0108 (d) -0.04 (e) 5 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/4)*f**(-22) assuming f is positive.\nAnswer: f**(-87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f + 33. Let w be b(7). Suppose -3*p - 40 = -5*m, -249*m + 2*p = -248*m - 15. Sort w, m, -5, -23.\nAnswer: -23, -5, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 4*y + 21, 6*f - 3*f + 1 = -4*y for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/7 in 2\/13, -1\/4, -36, 13, 0.057?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - j + 1 = 0, -566 = -2*b + 4*j - 570 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (66 + -8 + 18 - 9) + 3.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**4\/24 - 5*c**3\/6 - c**2\/2 + 5*c. Let b(r) be the first derivative of x(r). Calculate b(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4407*w + 7 - 9 - 4379*w + 2.\nAnswer: 28*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 17 = 3*l - 2*l, -w + 6 = 2*l for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = -5*k + 3*z, 4*k - 6*z = -3*z - 91. Let f(w) = -2*w - 42. Let h be f(k). Let j be h\/10 + 177\/105. Which is smaller: j or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -r + 2*r - 2*t, 4*r = 2*t + 62. Suppose -r = -4*f + 8. Let o be ((-4)\/(-17))\/(f\/(-3)). Which is the third biggest value? (a) o (b) -5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.9 + 8.8. Put -2, -0.2, g in ascending order.\nAnswer: -2, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5774083, -5774192, -5774373, -5774626, -5774951, -5775348?\nAnswer: -5775817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54 - 54.007. Let m = l - -0.127. Let q = 1.12 - m. Which is the closest to 1\/3? (a) -2\/5 (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 470*n + 478*n - 949*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11445*a**2*u**3 - 7579*a**2 - 335*a*u**3 + 520*u**2 wrt u?\nAnswer: 68670*a**2 - 2010*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4.5*10.7\nAnswer: -48.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(40\/(-15))\/1. Calculate the highest common factor of 8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*q - 6*q - 4*q.\nAnswer: 20*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - -1) + 1 - 0. Let s(t) = 3 - o*t**2 - 3 + 1 + 12*t**2 + 7*t. Suppose 0*k = 4*k + 20. Let y(b) = 7*b**2 + 6*b + 1. Determine k*s(i) + 6*y(i).\nAnswer: 2*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 102*d - 964 + 964 to c + i*d and give i.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s - 41. What is the remainder when 20 is divided by b(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**6\/120 - 7*i**5\/60 - i**4\/6 + i**3\/6 + 5*i**2. What is the units digit of d(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + 20986*l - 20981*l + 12, 1 = -2*j - l for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-67)\/((-1005)\/210)*(-12)\/14?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 108 + 32 = 0. Suppose 2*a + 4*q = 26, 0 = -4*a - 5*q + 40. Suppose -h - i = -a*h. Calculate the lowest common multiple of 6 and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4021453223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -437981*v**4 + 305947*v**2 wrt v?\nAnswer: -10511544*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/2 + (-1945)\/(-10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a + 0*a + 3*a + (1 + 2 - 1)*(26 - 26 - 5*a).\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3615, 3620, 3635, 3666, 3719, 3800?\n\"Answer: n**3 - n**2 + n + 3614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1504*s + 1649 + 41967 for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85 - 38. Suppose f = -0*l + 2*l + 8, 4*l + 4*f - 8 = 0. Sort l, 5, v, 1 in increasing order.\nAnswer: l, 1, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -706724 + 1338106. Suppose -2*z + 4343554 = p. Let u = -3323914 - z. Round u to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-12*1))\/((-18)\/(-144))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -137 (base 11) to base 6.\nAnswer: -425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n + 175. Let k(i) = -7*i**2. Give k(a(v)).\nAnswer: -28*v**2 + 4900*v - 214375","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d*h**5 + d*h**2 + 2581*d*h - 54*d + 113186*h**3 wrt h?\nAnswer: -60*d*h**3 + 2*d + 679116*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/414 (b) -2 (c) -0.1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -15, -4, -3, 1177, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16884 and 4788?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25150.92 and -5.\nAnswer: -125754.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -3, 3\/7, -1\/50 in descending order.\nAnswer: 3\/7, 1\/5, -1\/50, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j**3 - 100*j**2 - 97*j - 81. Let z be s(21). Sort 0, 4, -6, z.\nAnswer: -6, 0, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -9203*v**2. Let y(p) = 5*p**2. Determine n(y(k)).\nAnswer: -230075*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*b = -20, b = -5*y - 0*b + 24. Solve 0*j = -y*j - 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 3:16 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppbbbpppbp. Give prob of picking 1 p and 1 b.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 15905 (b) 0.2 (c) -5 (d) -0.5 (e) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and 0.3.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5902091 nanometers to micrometers.\nAnswer: 0.0005902091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -135*a + 128*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (7508111\/52)\/((-44)\/16 + 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 3\/5. Is x greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1201 (base 13) to base 11.\nAnswer: -19a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 44, 1, 0.2, 2\/71 in increasing order.\nAnswer: -2, 2\/71, 0.2, 1, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 + 0.35. Let m = c + -0.1. Round m to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/1340 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -769344 and -197.83.\nAnswer: -769541.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -7. Let j = -98433\/5 + 19687. Which is the closest to j? (a) 171 (b) 0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 8 - 57 - 47 - 65*b to l + f*b and give l.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832) - 2*sqrt(832)*6.\nAnswer: -88*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**5\/30 + 11*u**4\/24 - 7*u**3\/6 + 73*u**2. What is the remainder when c(-9) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2242*j - 3690*j - 279328 = 3540*j for j.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*(2\/(-90) - 8\/(-36)). Let y(p) be the first derivative of -2\/5*p**2 + x + 14\/15*p**3 + 0*p. Factor y(c).\nAnswer: 2*c*(7*c - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 9*b**2 - 3*b - 14. Let h be j(6). Suppose 5*a - 42 = h. Calculate the greatest common factor of a and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -75*r**3 - 3*r**2 + 3. What are the prime factors of w(-1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h. Let r(d) = 1263412312*d. Give r(w(u)).\nAnswer: 2526824624*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by 20241600\nAnswer: 9\/6747200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.101365s to milliseconds.\nAnswer: 3101.365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16087998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2272)\/(-3) + 24\/36 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -7*p. Let z(g) = -g. Let b(y) = 2*y. Let s(f) = -3*b(f) - 12*z(f). Let u(w) = 5*i(w) + 6*s(w). Let q(x) = -127*x + 6*x**2 + 127*x. Determine u(q(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 186 + -177. Let n be (-5)\/(-4)*(4 + (9 - j)). Suppose 0 = v - 1 - 0. What is the greatest common divisor of v and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1065 and 34506.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-26)*(183\/(-4) - -49).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*f**2 - 43*f**2 - 6*f - 5 + 2*f.\nAnswer: 38*f**2 - 4*f - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 + 573610*t**2 - 573615*t.\nAnswer: 5*t*(t - 1)*(t + 114723)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.127833 weeks in seconds?\nAnswer: 3101313.3984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28 - 329*w**6 - 11 + 7*w**2 - 3*w**2 + 10 wrt w.\nAnswer: -39480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2963*p - 20863 - 31369 - 29641 - 18869 for p.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -520*y + 4. Let c be (-39)\/(-18) + 1\/(-6). Let p be k(c). Let m = p - -2085. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*h = -7*h - 102, -4*c = -3*h + 165. Let m = -37 - c. Is 5 a factor of 11 + 3*m\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k + 0 + 3 - 3 + 3. Let f(q) = q**3 + 6*q**2 + 4. Let a be f(-6). Let v(h) = -h - 2. What is a*v(x) + 3*z(x)?\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*n = -4, 4 = 3*d + 3*n - 5*n. Suppose -4*z = -3*t - 2*z + 15, d*t - 20 = -2*z. Suppose 36 + 14 = t*v. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - w - 108. Let h be o(11). Let y(t) be the second derivative of 1\/2*t**3 - 7\/2*t**h + 3*t - 1\/3*t**4 - 1\/20*t**5 + 0. What is y(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {y: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-4\/7))\/v**(-4\/7)*v*v*v*v*(v*(v\/(v**(-2\/9)\/v))\/v)\/v*v*(v*v*v*v**1*v*v)\/v assuming v is positive.\nAnswer: v**(842\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-3) - -4)*(-90)\/(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*c**2*k*m + 23*c**2*m + 2*c**2 + 6*c*k - 2*c with respect to m.\nAnswer: -6*c**2*k + 23*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*c*r**3 + 19*c*r - 92*r**3 - 9*r**2 wrt c?\nAnswer: 10*r**3 + 19*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**3 - x. Let f be o(-1). Let a = f + -2. Suppose 4 = 3*w - a, -4*w + 388 = 4*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42 + 56. Let q = b - 14.000196. What is q rounded to five dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 17*s**2 + 3 + 12*s**2.\nAnswer: 29*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/(b\/((b*b\/b**9)\/b)))\/b*b\/(b**(2\/17)*b*b))\/(b\/b**(-21)*b\/(b**36*b)) assuming b is positive.\nAnswer: b**(100\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8, -14, 0 in increasing order.\nAnswer: -14, 0, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -150 - -149.68. Let l = 0.32000059 + k. Round l to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyf when three letters picked without replacement from rkkfjxry.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 1805096 = -5*z. Let a = z - -6224422279\/13793. Let h = 1337969\/220688 + a. Find the common denominator of h and 47\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -37*p + 1. Let q = 27 - 23. Let x be (6\/q)\/((-21)\/56). Is r(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.769 * -0.2768.\nAnswer: -1.3200592","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Sort 288, -1, 138, 3 in descending order.\nAnswer: 288, 138, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**2 - 3*m**2 + m**4 + (m - 1 + 1)*(-1 - m**3 + 1) + 0*m**3 + 0*m**3 - m**4 - m**4 - 2*m**2 + 2*m**2 - 2*m + 2*m - m**4 - m**4 + 4*m**2 - 4*m**2.\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, y: 3}. What is prob of sequence cccy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 11:56 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of o**5\/120 + 55*o**3\/6 + 139*o**2. Let w(i) be the first derivative of h(i). Let q(p) = -2*p + 2*p - 12*p**2. Give q(w(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1111 - -1134 - 8810\/238) + (-5 - -19).\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 5570196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, r: 4, o: 2}. Give prob of sequence srr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-4 - -5 - -3) + -2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*g + 3. Let w be (105 - 3)\/(g*2). What is the tens digit of (w\/15 - 1)*5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-14)*2\/(-4). Let g = 0.015 - 0.235. Let w = g + -0.08. Put w, o, -3 in increasing order.\nAnswer: -3, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4776472?\nAnswer: 2, 597059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/4 in 218, 0, 29?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 19*k - 70 = 0. Calculate the remainder when 53 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -3*x + 39, 2*f + 1 - 5 = -4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 640 and 400.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2716, -2720, -2720, -2716, -2708, -2696, -2680?\nAnswer: -2660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5435482076?\nAnswer: 2, 19, 331, 216071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3590 divided by 2?\nAnswer: 1795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -134, -1, 0 in ascending order.\nAnswer: -134, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - -14 - (6 + -9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6, 5, 30, 75, 146, 249, 390, 575?\n\"Answer: w**3 + w**2 + w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 150 + 30. Suppose -4*m + c = -m. Solve 35 = -5*x + m for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*p + 2*v - 74, -2*p + 44 = -4*v. Suppose -107 = 38*o - 1019. Calculate the least common multiple of p and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -13\/4, -1.3 in descending order.\nAnswer: 2\/9, -1.3, -13\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (4 + -2)) + 1 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 1869*v + 1899. Let k(l) = l**2 + 1880*l + 1899. Let z(w) = 3*k(w) - 2*q(w). Determine f so that z(f) = 0.\nAnswer: -633, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*t. Suppose -3*q - 5 - 4 = t. Sort q, 0, -1 in descending order.\nAnswer: 0, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*y - 3*y - 3*y)*(1 - 2*y - 1) + (1 - 1 - 9)*(-5*y - 2*y**2 + 5*y) + (y**2 + 0*y**2 + y**2)*(4 + 0 - 3) as i*y**2 + a*y + d and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5027, 10264, 15507, 20762, 26035, 31332, 36659?\nAnswer: 42022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -28*n. Suppose n = -95*y + 110*y - 29115. List the prime factors of y.\nAnswer: 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 319 - 269. Find the third derivative of -7*j + 462*j**2 - 464*j**2 - j**3 - p*j**3 wrt j.\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 13. Let w = 7 + -15. Let d be r(w). Let g(i) = -i**2 + 4*i + 7. Let k be g(d). Solve -k*n - 6 = 4 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -77*c**4\/24 + 1108*c**2. Let m(a) = -a**2. Determine w(m(s)).\nAnswer: 77*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5673 * -2\nAnswer: 11346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -154*l - 10632. Determine u(-69).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 3:25 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*o + 608 = 308 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 92?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(55)*4)\/sqrt(11) - sqrt(40)\/sqrt(288)).\nAnswer: 23*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44205 + 25659. Let d = -16 - -28. Is (-2)\/d + q\/(-36) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98973 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -208 - -39090?\nAnswer: 38c86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*(-95)\/684*3\/4*(-24)\/(-8)?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*((sqrt(120) - (sqrt(120) - 1*sqrt(120))) + sqrt(120))\/sqrt(4))\/((sqrt(60)\/sqrt(2))\/sqrt(5)*3) + -3)**2.\nAnswer: -24*sqrt(5) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 7*b**3 - 5*b**2 + 9*b - 9. Let g be q(4). Let p(n) = n - g*n**2 + 391*n**2 - n. Let u(x) = x + 3*x - x. Give u(p(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2.4*-23764\nAnswer: -57033.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(117) - -2*sqrt(117))*-1 - (1 + sqrt(117) + 5)))**2 + 1.\nAnswer: 1296*sqrt(13) + 17173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 - 86. Let v = g - -31. Suppose 3*s = 15, v*o - 2*o - 4*s = 64. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/(-21))\/(-1 - 2\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48.4 - 46.198. Let o = 0.002 - z. What is o rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2028 and 390.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*w**2*x**3*z**3 - 6*w**2*x*z**3 + 2*w*x**3*z**3 - 2*w*x**3*z - 30*w*z**3 - 2 wrt w.\nAnswer: -26*x**3*z**3 - 12*x*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -721, -793, -875, -973, -1093, -1241?\n\"Answer: -m**3 + m**2 - 68*m - 653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 596385005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - s + 20 = 3*s, 0 = -4*i + 3*s + 40. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 7:41 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 48 + 37. Let x = -14 - y. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10026433 is divided by 5860.\nAnswer: 5833","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 40.730723 times -0.2\nAnswer: -8.1461446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((((l\/(l*l*l\/l**(-2\/5)*l*l))\/l)\/l)\/l)*l**5)**19\/(((l*l**(-4))\/l)\/l*((l*l\/l**(-1\/3))\/l)\/l*l*l\/(l\/(l**1\/l*l))*l**(-2\/15)*l*l) assuming l is positive.\nAnswer: l**(1277\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4404.\nAnswer: 2, 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-6 + 9)*-2) + 237\/18\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 8:58 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8630413*n**3 + 10*n**2 - 10*n**2 - 8630409*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*x - 32*x + 21*x to the form r + d*x and give d.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.025 + 0.525. Put 2\/7, n, -1, 2 in descending order.\nAnswer: 2, n, 2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(119) + -3*sqrt(119))*-2)\/(5*sqrt(21)\/sqrt(3)) + (-4 + sqrt(833) + sqrt(833) + 4 + 2*sqrt(833) + sqrt(833))*-6)**2.\nAnswer: 18599972\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4009 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*u, -w - 2*w + 13 = 5*u. Which is the smallest value? (a) 8 (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-230)\/(-48) + -5)*-10*(-4)\/(-10).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 + -410?\nAnswer: -387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 10) in base 3?\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -32431666064.\nAnswer: -32431666064.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 1. Let i(h) = -1513*h + 51. Let r(c) = -18*c + 1. Let a(o) = -i(o) + 85*r(o). Calculate -a(m) + 34*z(m).\nAnswer: 17*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, f: 2, b: 1, o: 4}. What is prob of sequence ff?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 156 + 11 - 32. Solve 18*h + 9 = d for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60*c**4 + 109*c**4 - 3*c**2 + 1 + 17*c - 1 + 13*c wrt c?\nAnswer: 4056*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23644770 to the nearest 100000.\nAnswer: -23600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 132338 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/((-30)\/24) + 3. Which is greater: y or -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-552)\/(-120) + (1 - 4). Factor u*o**4 - 14\/5*o**3 + 4\/5*o**2 + 0 + 2\/5*o.\nAnswer: 2*o*(o - 1)**2*(4*o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10890177.47+-130\nAnswer: -10890307.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 7:25 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 44*3\/36 + -3 - -2. Solve -h + 8\/3*w - 2\/3*w**2 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3, 3*p - 215 = -0*p + z. Calculate the smallest common multiple of p and 88.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18\/12)\/(3\/(-20)). Does 12 divide (48\/q)\/((-3)\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*w - 6*w - 1, -3*u - 1 = 5*w. Let g be (-3 + 38)*w\/(-5). Let k be (-102)\/(-14) + (-4)\/g. Solve k*c - 25 = 2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 16 + 4 - 20 - d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i. Let h(d) = d**2 + 4*d. Let r(s) = h(s) - 3*m(s). Let l be r(1). Solve b - 2*b = 2*q + 9, -5*q - l*b = 22 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2224 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 2*x - 6 - 74, -2*v = 3*x - 120. What are the prime factors of 6\/(-5)*x\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - 77 - 29)*(-2*z - z - z + z + 0*z + z + (2 - 1 - 2)*(2*z - 2 + 2) - 2*z + 2*z + z + 0*z - 4*z + 2*z + (4 - 4 + 2*z)*(2 - 2 + 1)).\nAnswer: 219*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a - 7*a + 5*a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34 - (-59 - -28)) + (-1 - -9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -z**4\/4 + z**3 - 19*z - 4. Let x = -139 - -135. Is 25 a factor of g(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5115 - 5085. Solve 8*p = r + 18 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*f + 89 - 291 + 10 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*a, -6*a = 3*b - 2*a - 19 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 25075, -22, -1\/180?\nAnswer: -1\/180","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 208720 divided by 80.\nAnswer: 2609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and -1 + 0 + 18 + 1?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence caac when four letters picked without replacement from {a: 6, y: 1, c: 5, z: 7}.\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**3 + 0*y**3 + 3*y**3)*(-2 + 2 - 1) + (0 + 2*y + 0)*(7*y**2 - 3*y**2 - y**2).\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 + 2735*r**2 + 2750*r - 5480.\nAnswer: -5*(r - 548)*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -24 and 95351249.\nAnswer: 95351225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 804 and 0.1.\nAnswer: 804.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2042484 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7722*t - 7775*t = -171402. Is t a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -394 and -1263.\nAnswer: 497622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 3) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11276\/42971 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*p + p + 24*p**2 - 19*p**2 wrt p.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1512 and 11151.\nAnswer: 89208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((14\/(-190))\/7). Let c = 105 + x. What is the third derivative of m**2 + 7 + 45*m**4 - 8 + c wrt m?\nAnswer: 1080*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0 = -3*k - 15, -5*b + k = -19. Factor -4*w**2 - b - 186*w + 192*w + w**2.\nAnswer: -3*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-485 + 207 + 11 - 383)*(-5*a + a + 2*a) - 4*a - 3*a + 5*a + (1 + 1 + 4)*(-5*a + 2*a + a) + 2*a - 4*a + 0*a.\nAnswer: 1284*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 237670?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2806 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 4. Let n(w) = -10 + 9*w + 6 - w**2 + g. What is the remainder when 46 is divided by n(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from upfpppu. Give prob of sequence pufp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/6 + 46\/6. Let u = 8 + -2. Let q be (-7)\/(-5) + u\/(-15). What is the highest common factor of q and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 1:31 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 u when three letters picked without replacement from liuiuiiflappi?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1705*c**3 - 57705 + 57705 + (3*c**2 - 4*c**2 + 2*c**2)*(-4 - 2*c + 4).\nAnswer: 1703*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n + 2. Let o(w) be the first derivative of -3*w**2\/2 + w + 189. Calculate 2*a(q) - 3*o(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -42517\/31, 2\/19, 1\/4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4450105366 + -2?\nAnswer: -4450105370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 239 (c) 3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -374 + 446. Let u be s\/216*12\/1. Which is the nearest to 0? (a) 2\/17 (b) u (c) 0.1 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 57537.72 to the nearest one hundred.\nAnswer: 57500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/18 + 68\/18. Let a = -59 + 117. Calculate the remainder when a is divided by s\/(-6) + (-248)\/(-12).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/10 of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 u, 1 a, and 1 e when four letters picked without replacement from {e: 2, z: 2, t: 1, a: 4, u: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 56100 to the nearest 1000.\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 2:32 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 1 - 2*b**3 + b**3 + 0*b**3 + 4*b**2 - 2*b. Let f = 0 - -3. What is the tens digit of n(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -412345 and 1.\nAnswer: -412345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrw when three letters picked without replacement from wwirmiw?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*r + 2*r + 5*r + 4*r - 16*r.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -440*u**2 + 223*u**2 + 92*u - 92*u + 215*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 79, 6, -3, 5, 63.\nAnswer: -3, 2, 5, 6, 63, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*z**3 + 35*z - 15*z**3 + 15*z + 5*z + 3*z**3 - 16*z**3.\nAnswer: -z**3 + 55*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 1 = -3. Suppose -t + 209 = -i*u - 3*u, 0 = -u - 4*t - 25. Let l = u + 77. Is 18 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2. Let z(g) be the second derivative of 7*g**6\/720 - 7*g**4\/12 - 13*g. Let k(f) be the third derivative of z(f). Give k(o(l)).\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.5 - -3. Suppose 5*l - 94 = -9. Let w be 2\/(-5) - l\/(-30). What is the closest to -1 in w, 0.2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*d**3 - 50 + 31*d**3 + 65*d - d**2 - 66*d to n + x*d + q*d**3 + m*d**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**3\/15 + 16*m**2\/5 - 72*m\/5 - 2592\/5 = 0?\nAnswer: -18, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*o**3*q**3 + 2453*o**3*q - 19*o*q**3 + 2*o*q**2 wrt q.\nAnswer: -30*o**3*q - 114*o*q + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1412)\/(-288) - 2\/(-4). Let i = u - 52\/9. Is i > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 13200013330?\nAnswer: 13200013333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -18 (b) 2\/3 (c) -5 (d) 142 (e) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**3\/6 + 171*c**2\/2 - 76*c - 14336\/3 = 0.\nAnswer: -7, 8, 512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -2*p + 1120, a - 13 = -15. Let b = -239 + p. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 3*m**2 - 3*m + 1. Let f be l(2). Let a(z) = -2*z + 2. Let n be a(-1). Let t be (-5)\/2 + (-3)\/(-6). Put t, n, f in decreasing order.\nAnswer: n, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14666 - 8161. Let a = -6503.2518 + b. Let y = -1.72 + a. Round y to 3 decimal places.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6964 is divided by 149.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 52 divided by -2\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 378864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 546 = -43*q + 159 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 i when two letters picked without replacement from qqjixjijjqqjxjjj?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.38 less than 0.039?\nAnswer: 2.419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3497298906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j + 4. Let s be y(-1). Let r = -1 + 7. Let g(q) = r - 4*q - q + 4*q. Give g(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*n + 48, 0 = 5*n - 10*n + y + 44. Let i = -47 - -49. Find the third derivative of n*m**4 - 3*m**4 - i*m**2 - 5*m**2 wrt m.\nAnswer: 120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69cb (base 13) to base 15\nAnswer: 4615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1650, -2\/5, -4\/9, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141274 is divided by 366.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1862 - 1848. Solve f*x - 4 = 13*x, 4*b + 3*x - 20 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -307, -19, -9\/7, -2, -2\/11, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.04759*-0.33374\nAnswer: -0.0158826866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**3 + 2*q**2 - q - 2. Let f be r(-1). Let u be 9\/f + -34 - -2. Let i = u - -32. Solve -i*c - 7 = 3*j + 2, 3*c + 5*j + 19 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3967*u**3 - 3948*u**3 + 83 - 83.\nAnswer: 19*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -1. Let s(d) = 7*d**2 - 7*d - 17. Let i(c) = -5*b(c) + s(c). Let t(w) = -12*w**2 + 13*w + 23. Let g(k) = 5*i(k) + 3*t(k). Determine g(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-20)\/6)\/2 - -3. Let p = -3.4 + 0.8. Let n = p - -0.6. Which is the smallest value? (a) x (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 8 = -3*h + 2*o, 4 = 2*o. Which is smaller: -4\/61 or h?\nAnswer: -4\/61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71*o - 62*o**2 + 71*o + (1 - 1 + o**2)*(-1 - 3 + 2) - 2*o**2 - 2*o + 2*o + 2*o + 2*o**2 - 2*o to the form h*o + y*o**2 + b and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + 9914821?\nAnswer: 9914815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 10*i - 21. Is x(17) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 28041086 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -431 (base 8) to base 13\nAnswer: -188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 14 + 16, 2*x = -u + 5164. What are the prime factors of x?\nAnswer: 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -88, -80, -58, -16, 52, 152, 290?\nAnswer: 472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 958347.3 litres in millilitres?\nAnswer: 958347300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/4)\/((-33)\/(-726)). Sort -5, -1, b, 1.\nAnswer: b, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/10*(-6)\/(-24)*(-64)\/(-176)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*y + 177*y + 188*y + 600 = 574*y for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1393211 rounded to the nearest ten thousand?\nAnswer: -1390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-385)\/308*(3*-2 - -2). Let g(k) be the third derivative of -1\/6*k**3 + 3*k**2 + 0 - 1\/24*k**4 + 0*k. Calculate g(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 2296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -98 - -98. Suppose 4*t = 3*l + 181, 5*t + s*l = -5*l + 270. Suppose -o = 4*o - 50. Calculate the remainder when t is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17052 + -511399\/30. Let g = 47\/34 - 2279\/714. Calculate the common denominator of d and g.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 > 2\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 + 0.1. Let g = -4.563 - -4.963. Which is the second smallest value? (a) g (b) j (c) -0.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -43 + 5?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by -29?\nAnswer: 33\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4809.73 rounded to the nearest 100?\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 2144, 1, 5, 0, -7.\nAnswer: -7, -4, -1, 0, 1, 5, 2144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 3. Suppose 0 = 4*s - 3*s + 12. Let w be 3*(f + s\/(-9)). Solve 0 = -a + 6*a + w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -10. Let j be 11\/n - 4\/(-12). Let u = 76 + j. Calculate the highest common divisor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 90*z - 516. What is the units digit of m(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a tonne in kilograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11141933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.177972 millennia in decades?\nAnswer: 17.7972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9463\/41 - 461\/2. What is the common denominator of -43\/8 and u?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 189 + 189162.\nAnswer: 189351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 3*f + 2 + 10, 0 = 4*z + 5*f - 13. Suppose 4 = 2*c, -3*y + z = -4*c + 66. Let g = -15 - y. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 15*f + 103. Is ((-422)\/8)\/(((-10)\/f)\/(-5)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 10:09 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + h + 4*b - 16, 4 = 4*h + b. Suppose -5*q + h*q = 28500000. What is q rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 8 = 3*z, 4*z + 8*d - 69 = 3*d. Let m = 13 - z. Solve -5*b + m*g - 7 = 0, -2*g + 1 + 2 = -b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 14*h + 20. Let z(q) = 5*q + 7. Let y = -17 + 0. Determine y*z(r) + 6*p(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -203*w**3 - 3*w**2 - w**2 + w**2 + 249*w**3 - 3 in the form h*w**3 + o*w**2 + z + r*w and give h.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-124)\/(-1743) - -7*26\/(-1911). Is f less than -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*i + 71*i + 85 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15, -6, -61, -162, -321, -550, -861?\n\"Answer: -2*h**3 - 5*h**2 + 8*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -266\/3 + 88. Let y = -24 + 23.9. Let w = -478\/7 + 68. What is the closest to w in y, i, 1\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -912 + 911.9461. Is l != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*o - 3*o - 37, 2*o + 18 = q. Let i = -1291 - -1286. Put q, i, 5 in decreasing order.\nAnswer: q, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-10)*(-2)\/(-6).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -277 divided by -537\nAnswer: 277\/537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**5\/60 - 7*o**2. Let w(v) = 3*v + 2*v**2 + 0*v - 3*v. What is m(w(j))?\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 + (-8781 + -3)\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/13765480 and -38\/1032411.\nAnswer: 41296440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-2)\/(-4)*70\/(-20).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 3*d - 2 = 0, 5*d - 4 = -x - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 505 and -0.13.\nAnswer: -65.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 596 + -585.02. Let h = 5.89 - s. Let n = 4.8 + h. Round n to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 180 and 72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 179929449 and 44193198.\nAnswer: 2519012286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7061590 (base 11) in base 4?\nAnswer: 233221200320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 4*w - 5*p - 10, 0 = -2*w + 5*p - 7 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 3, s: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 77\/6 - 7\/(-42). Let s = k - 8. Let i be (4 - (-158)\/(-30)) + 3\/s. Sort 1, i, 0.04, 0.4 in descending order.\nAnswer: 1, 0.4, 0.04, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304864 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z - 12. Let y be i(-5). What is the tens digit of (6\/y - 3) + 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 11, 57 in decreasing order.\nAnswer: 57, 11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 77\/5 of a litre?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43.8 - -42.404. Let p = i + 1.096. Let f be 26\/(-6) + 2*1. What is the second biggest value in f, -2\/9, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -5*v**3 - 576515*v**2 + 1153125*v + 8647875 = 0.\nAnswer: -115305, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**4 + 63*g**3 - 123*g**2 + 61*g = 0.\nAnswer: 0, 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 9:12 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*m + m + 10*m)*(4*m**4 - 2*m**4 - 3*m**4) + 3*m**2 - 3*m**2 + m**5 + m**5 - 15*m**2 + 15*m**2.\nAnswer: -22*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -4*z - 0*z + 122, 0 = -5*t - z + 192. What is the highest common factor of t and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 4. Give v(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -302 * 10.\nAnswer: -3020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -564 - -969. Let o = 408 - i. Sort -2\/7, o, 5 in ascending order.\nAnswer: -2\/7, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.002248 - -1.0187. Let c = 0.0169 - f. What is c rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64 + 63.923. Let s = 20.077 + t. Which is greater: -0.1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -197*m - 2. Let f be k(-3). Let z = 333 - f. Let v = 400 + z. Calculate the highest common factor of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.414562 litres?\nAnswer: 4414.562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 223022133131?\nAnswer: -223022133200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4*j**2 + 2*j**2 - 9*j**2 + 3*j**2 in the form a*j**2 + b*j + v and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13183.8 - 13184. Let k = -0.05 + 0.65. Let d = k + 0.4. Sort d, -5, 0.1, o in increasing order.\nAnswer: -5, o, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(112) + 3*(sqrt(112) - (sqrt(112) + 2)) - (sqrt(28)*-2 + 5)))**2.\nAnswer: -704*sqrt(7) + 2276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h**1\/h))\/h*h)\/(((h**(12\/7)*h)\/h)\/h*h*h))\/(h**0*h*h**(-20)) assuming h is positive.\nAnswer: h**(121\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32 - 128*c**4 - 35 + 130*c**3 - 123*c**3)*(-2 + 2 + 2) + c**4 - c + c to the form q*c**4 + s*c + u*c**3 + w + z*c**2 and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxbbxbbbbbb. What is prob of picking 1 b and 2 x?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -5*n + 17, -4*i - 216 + 215 = 3*n for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 + 65*q + 1992. Give o(-41).\nAnswer: 2689","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118788 is divided by 11878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**5\/7 - 6*f**4 + 94*f**3\/7 + 6*f**2 - 92*f\/7 = 0. What is f?\nAnswer: -23, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -107342.5451 - -107396.7. Let q = -0.0451 - j. Let f = q + 54. Which is the closest to 0.2? (a) 3 (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u + 180 - 13*u**3 - 358 - u**2 + 180 + 16*u**3 to b*u**3 + r + q*u**2 + o*u and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3*j**5\/5 - 11328*j**4\/5 + 34017*j**3\/5 + 22638*j**2\/5 - 27204*j + 90696\/5 = 0.\nAnswer: -3779, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 + 3579*a - 37.\nAnswer: 3579*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 13682*y - 4049818. Calculate x(296).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + k + 12 = 3, -4*x - k = -3. Let t(i) = -i**3 - 2*i**2 - 1. Let p be t(-2). Is (p + x)\/((-5)\/(-145)) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 701 + -495. What is the remainder when i is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u - 10. Let g be b(-2). Solve g*i - 15 = -i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 3*s**2 - 4*s + 3. Let j be p(4). Let l(u) = u**2 - 2*u + 1 + u - 5 + 0*u**2. Let n be l(j). Let f(m) = m**3 - 2*m**2 + 3*m. Determine f(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16\/15 in 2\/25, -1, 0.1, 0, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -27 - (-49 + 65).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 6*j**2 + 11*j**2)*(-3394*j + 3394*j + 833*j**2).\nAnswer: 5831*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9964078 + -472615?\nAnswer: -10436693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 11:42 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-180) + (4\/(-8) - 8544\/1290) - -7.\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-150)\/90*(-42)\/35?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 6894, -33\/32?\nAnswer: 6894","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 5 (c) -2.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100 - -89) + (3 - -5 - (0 + 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9146.2 + 9390.686. Let g = -0.286 + v. Round g to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1483 >= -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(-72*f + 46*f - 72*f)*(f**2 - 6*f + 6*f)*(5 - 2 + 0).\nAnswer: 588*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -178, -268, -358, -448?\nAnswer: -538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3262*c**3 - 946*c**2 + 4*c = 0.\nAnswer: 0, 1\/233, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 444441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/5 - 122*p\/5 + 248\/5.\nAnswer: -(p - 2)*(p + 124)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -1 + -14 - -10) + 1 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 587878 is divided by 360.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6109710, 6109707, 6109702, 6109695, 6109686?\n\"Answer: -y**2 + 6109711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -4*r**2 + 44*r**3 + 44*r**3 - 92*r**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -19, 0, -2, -2\/11, -3\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004437156169 to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1.4. Let u = s - 1.1. Let z = 1 + -0.6. Which is the second biggest value? (a) u (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f**3 + f**2 + 10*f + 7. Let l be s(4). What is l rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276477 times 10?\nAnswer: 2764770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 18*k - 87. Calculate u(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1139 - 957. Calculate the greatest common divisor of 154 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2 - 3*w + 13. Let z be b(-5). Calculate the smallest common multiple of 8 and z*9\/(-15) + (-2)\/10.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/43))**(-44) assuming l is positive.\nAnswer: l**(88\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 0 + 27\/4*t**5 + 0*t**3 - 9\/2*t**2 + 0*t**4 + 81*t. What is the first derivative of g(k) wrt k?\nAnswer: 405*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + 1 + sqrt(1573) + sqrt(1573) + (sqrt(13) + 0 + 1)*-2)**2.\nAnswer: -80*sqrt(13) + 10402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -0.3 (c) 2\/11 (d) -83 (e) 15 (f) 4 (g) -5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -98*j**2 - 1. Let k(m) = 2*m**2. Give k(z(d)).\nAnswer: 19208*d**4 + 392*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 2*x - 4*x. Let l = x + 256. Suppose 4*q = 315 + l. Does 19 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 993689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-3)*33\/22. Let l(m) = -32*m**3 - 2*m**2 + m + 2. What are the prime factors of l(f)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*p**3 + 208*p**2 - 48*p.\nAnswer: 4*p*(p + 6)*(9*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/2 + (-379008)\/75852. Is o smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (165\/(-22))\/(12\/9 + 161\/(-138)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.49 - -1.37. Let a = -1 + h. Let q = -0.11983 - a. Round q to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9875 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 14*u - 74*u - 107 + 55 + 52. Let w(d) = -d. Give 2*s(o) - 90*w(o).\nAnswer: -30*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 379653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(80)*-1 - sqrt(80))*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 314568594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 307\/3 + -103. Let d(j) = -j**2 + 2*j - 1. Let z be d(1). Which is smaller: z or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from {v: 3, q: 7}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 + -51. Is u at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/7 + 41228\/52472?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 202 + 10 - 13*z + 149 + 11*z. List the prime factors of o(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 770 = -7*l. Calculate the remainder when l is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times -1.064?\nAnswer: 10.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -760 - -765. Put 6\/11, 9, x in ascending order.\nAnswer: 6\/11, x, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*t + 404 = 3*h, -2*h - t = -266. Is h a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -2608, -27 in decreasing order.\nAnswer: -27, -37, -2608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 3*m + 19, i - 5*m = -3*m + 12. Suppose i*z = 7*z - 155. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 6 - 2 + 4*p - 6*p**2 + 0*p**3. Determine m(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -9. Let q = 6 - o. Let m = 0 - q. Sort -5, 0.1, m in ascending order.\nAnswer: -5, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*v**2 + 4*v**3 + 48*v**2 - 116*v**2 to the form j + m*v + y*v**3 + s*v**2 and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (14 + -4)*(-2)\/(-4). Solve 0 = 4*y - k*o - 24, -o = -2*y + 3*o + 18 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*m = -806, 0*t - t = 5*m - 178. List the prime factors of t.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.758063 take away 17?\nAnswer: -17.758063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21239.58883 - 21611.586. Let s = 372 + o. What is s rounded to four decimal places?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)*-3 + sqrt(200))*-5)\/sqrt(10).\nAnswer: 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2120112022201 - -2?\nAnswer: 2120112022210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -86844224 divided by 4\nAnswer: -21711056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-6*(sqrt(11) + 2))**2*-4*3 + (1*2*sqrt(22)\/sqrt(2)*-6)**2.\nAnswer: -1728*sqrt(11) - 4900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 6*u - 21. Let m(r) = r - 1. Let c(t) = -4*t - 31. Let w(n) = -c(n) - m(n). Is w(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -178 - -186. Let b(s) = s**3 + 2*s**2 - 11*s - 13. Let o be b(-6). Let v = -71 - o. Solve -3*n = -c*n + v for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1033 - 3203520?\nAnswer: -3204553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = -5*k + 3*l - 259, 0 = -4*k - 5*l + 215. Suppose 2*n - k = 74. What is the highest common divisor of n and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5195 <= -5198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 531904963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) + sqrt(704) + 1 + 2 - sqrt(704) - sqrt(704))*5)**2 + 2 + (1*sqrt(539))**2 + 5.\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 244?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -40.5987+4\nAnswer: -36.5987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**3 - 1. Calculate c(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 521190253*h**3 + 2*h**2 + 1526818*h - 1 wrt h?\nAnswer: 3127141518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -510*-0.3\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.553601 decades in months?\nAnswer: 186.43212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(8\/(-6)) - -421. Suppose z = 5*t - 4*p, -49 = -t - 5*p + 59. Let l = -51 + t. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -9\/5 (c) 3 (d) 0.2 (e) -0.0208 (f) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y + 2. Let q be j(0). Solve -4*z + 18 = -q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133 (base 6) to base 13\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72*3\/(-6048)*(-48)\/234.\nAnswer: -2\/273","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -621*c**4*s**3 - 3*c*s**3*u + 3*s**3 - 2*s**2*u wrt c.\nAnswer: -2484*c**3*s**3 - 3*s**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*d + 5 - 16*d - 5 in the form r*d + c and give r.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -12*d - 7. Let k be h(-1). Let g(c) = -30*c + 1 - k + 4. Let q(n) = -5*n**2. Let s(i) = 51*i**2. Let m(a) = 21*q(a) + 2*s(a). Give g(m(u)).\nAnswer: 90*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-175)\/25*1056\/(-231)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 14*r**3 - 3*r**2 + 1. What is the least common multiple of b(1) and 468?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 12*a + 9 + 0 - 2*a**2. Let u(l) = l**3 + 9*l**2 - 19*l + 22. Let k be u(-11). What are the prime factors of i(k)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 + 97\/3. Let p = -454 - -1361\/3. Sort p, 0.01, w.\nAnswer: p, 0.01, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32341.47 - -32516. Round r to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34509573 divided by 3?\nAnswer: 11503191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5*f**2 - 47*f - 20. Calculate the least common multiple of 472 and c(10).\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188967.\nAnswer: 3, 62989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103733.\nAnswer: 7, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 56*v**2 - 274*v + 26605. Determine b(59).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -253800.8023.\nAnswer: -253800.8023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 304987 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -13 - (-14 + (0 - -10) + -45)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1989)\/18 - (-1)\/2. Let b = r + 159. Calculate the remainder when b is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -528.38*-10\nAnswer: 5283.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 129*i**2 - 56*i + 137. What is s(3)?\nAnswer: 1130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - -1371.6349.\nAnswer: 1372.1349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 11*n - 2. Let a(c) = c. Calculate 3*a(r) - t(r).\nAnswer: -8*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 4*m + 144. Suppose 46*j + 855 = 103*j. List the prime factors of m\/j*20\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 175125 and 375.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -45 - -22 - (-47 - 3) - -38\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 709\/9 - 79. What is the second biggest value in -3, 4, 0.5, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -87295*u**3 + 87295*u**3 - 426*u**5 + (2*u**4 + 0*u**3 + 0*u**3)*(-2*u - 2 + 2) - u**5 + 3*u**4 - 3*u**4.\nAnswer: -431*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 18*x**2 - 20*x + 7. Calculate i(19).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 4) to base 2\nAnswer: -10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-4))\/(n\/n**(3\/2))*n\/(n*n**(-2\/3))*n**(2\/5) assuming n is positive.\nAnswer: n**(197\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3177353*d*g**3*j**2 + 10*g**3*j - 15*g**3 + 3*g*j**2 + 2*j**2 wrt d.\nAnswer: -3177353*g**3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 1\/30, 7, -1 in decreasing order.\nAnswer: 7, 2\/17, 1\/30, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*d + 3*i - 9, -6 = 3*d - 3*i. Let w(o) = -o + 1 - 1. What is w(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342688417 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -0.02 (b) -4 (c) 0 (d) -2051 (e) 0.05 (f) 4\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*g - g**3 + 51*g - 98*g.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(110)*-3 - sqrt(110)) + sqrt(110) - -3*-2*sqrt(110))\/(sqrt(1000)\/sqrt(4) - sqrt(1210)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1316602 (base 7) to base 2\nAnswer: -101010001100011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 5*f**2 + 8*f - 37. Let u be t(-7). Solve -u*a = 52 - 37 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 a, and 1 y when four letters picked without replacement from {q: 1, y: 3, v: 1, a: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 31904 = -2*c, -239*c + 63766 = -235*c - 2*b. List the prime factors of c.\nAnswer: 3, 5, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -278, -574, -892, -1244, -1642, -2098?\n\"Answer: -2*z**3 + z**2 - 285*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -5*z, 2*d = 2*z + 170620 - 170616 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 964057\/2230 equal to 431?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.46 and -100.9229.\nAnswer: 147.347434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pps when three letters picked without replacement from eepps.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(160))\/sqrt(8))\/(sqrt(10) + (sqrt(40)\/sqrt(2))\/sqrt(2) - sqrt(10)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216*v = 201*v - 30. What is the closest to v in -0.3, -3, 1.71?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*p**3*q**2*u + 360*p**3 + 7*p**2*q**2 + p**2 + 459*q**2*u wrt u.\nAnswer: 13*p**3*q**2 + 459*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31\/30 + -557\/60. Calculate the common denominator of (-1 + (-3)\/(-4))*79 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 157280406 and 6870.\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/1*(-20)\/16. Suppose -5*h + q = -5*t, -2*h - 7 = t - 6*h. Sort t, -5, 0 in increasing order.\nAnswer: -5, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1599 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -266\/45 or -6?\nAnswer: -266\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377 a factor of 25755971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, a: 1, f: 3, n: 4, w: 3, p: 5}. What is prob of sequence wf?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*l = -138904 + 137176. Solve l*v = -v + 245 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 128 (b) -4 (c) 0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 87191189 - 87191187.65000117. Let v = x + -1.35. What is v rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(-1\/12)*f)*f*f*f**(-15))\/(f**12\/(f**3*f)) assuming f is positive.\nAnswer: f**(-263\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7148 - 8?\nAnswer: -7157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t**3 - 2*t**2 - 3*t + 2. Let z = 7 - 5. Does 6 divide c(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 4:11 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 194417 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: Calculate 1\/((-6)\/384*32).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112 + 228 - 314*x**2 - 5316*x**2 + 1339*x**2 - 116.\nAnswer: -4291*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/(-12)*1*(-2)\/(-3). Suppose -19 + 1 = 9*u. Does 7 divide u - ((-230)\/2 - b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j = 19*j + 153. Calculate the lowest common multiple of j and 7.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/14 + (-45)\/(-35). Let p(m) = 2*m**2 - m**2 - m - 5*m - x. Determine p(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**4 - 88*u**3 + 384*u**2 + 1048*u + 572 = 0. Calculate u.\nAnswer: -1, 11, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -0.3051, 0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97 + 34*o - 11*o - 9*o - 15*o.\nAnswer: -o - 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*j - 11*j + 16*j)*(-3*j + 2*j + 0*j + (0*j - 2*j + j)*(1 - 2 + 3) + 4*j - j + j + 0*j + j - 3*j).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/20 - (-69)\/12. Let u = 19 - x. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15675 - 0?\nAnswer: -15675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 36, 275, 930, 2211, 4328, 7491, 11910, 17795?\n\"Answer: 35*p**3 - 2*p**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 280\/(-28) + (4 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 9 = -9*f. Let o be (f\/(-1))\/((-48)\/(-320)) + -2. Solve -5*i - p = -o, -4*i = i - 4*p - 28 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) 90\/61 (b) 7 (c) -4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 29 = -5*r + 5, 5*o + 2 = -3*r. Let b = 36 - r. Suppose 4*y = -5*f + 84, -4*y - 96 = -5*f + 20. What is the highest common divisor of f and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w*w**(-2\/51))\/(w\/((w\/(w*w**(1\/25)\/w*w))\/w)))**(-1\/21)*((w\/(w**(2\/17)*w*w))\/(w*(w**(-9)\/w)\/w))\/(w**(-3\/7)\/w**8) assuming w is positive.\nAnswer: w**(462326\/26775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143, 510, 1133, 2012?\nAnswer: 3147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/54 + (-9 - -1)\/(-48). Which is the fourth smallest value? (a) 2\/13 (b) 6 (c) u (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 555680 and 8368?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 - ((-16 + 14 - -30) + -13)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26\/35 - 139\/140. Let i = -0.109 - -0.009. Let h(s) = s + 4. Let l be h(-5). Which is the closest to i? (a) l (b) d (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1035525 - 1?\nAnswer: -1035530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 3. Let u be 0\/(-2) + (1 - p). What is the second derivative of 0*x + 0*x - x**5 - u*x wrt x?\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(6\/5)\/p**(2\/9)*(p**(-3\/4)\/p)**(-1\/50) assuming p is positive.\nAnswer: p**(1823\/1800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*u**4 - 3*u**3 + 1302*u + 6617 wrt u?\nAnswer: 8*u**3 - 9*u**2 + 1302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -6. Suppose d*r - 17 + 7 = 0. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1056931 is divided by 33027.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 10 - (-4 + 8). Let i = 108 + -108. Solve 5*p - 22 = -b - i, -24 = -5*p - r*b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -120 + 121. Let m be z\/(6\/30) + 12\/(-2). Which is the nearest to 0? (a) -2\/9 (b) 0.4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2 + 8 = 0. Let n be (-3 - -2) + 0 + 11. Suppose n = u*h, -5*a + 8*h = 3*h - 50. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - p + 3*p - 1, -s + 5*p - 22 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a day in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (229\/(-687))\/((-1)\/1)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*h**3 - 144*h + 144*h.\nAnswer: 27*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -44350, -44364, -44378, -44392?\n\"Answer: -14*t - 44336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79796306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1108080001?\nAnswer: 7, 158297143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.053 - 0.453. Let n = 13593.5 - 13593. Which is the closest to -0.3? (a) 0 (b) n (c) y (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11872*r - 454706 = -1618162 for r.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 353 - 715 = -3*n, -2*n = -5*d - 727. Suppose p + 5*h = -3*p + n, -333 = -4*p + h. Does 7 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1798.\nAnswer: 2, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -103980064572.3 and 70?\nAnswer: 103980064642.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 3:06 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -5*v - 8, 2067 + 484 = -77*x - 1493*v + 1495*v for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -97 + 105. Let n be 58\/(-4)*(15 + -13). Let l = 32 + n. Solve g = l*r + 17 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 88\/4347 and -16\/270499527?\nAnswer: 1893496689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101\/11 + -785\/143. Let f = 168728 - 13160431\/78. Let v = f - p. Which is the third smallest value? (a) 1\/13 (b) -1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -46*d**2 - 577*d - 6. Let i(j) = -j**2 - 5*j - 1. Let k(z) = -6*i(z) + v(z). What is the second derivative of k(r) wrt r?\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -4, 12, -3.5 in increasing order.\nAnswer: -4, -3.5, 0.2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -4, -16, -0.1, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 508.272 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*b**3 + 35*b**3 - 130*b - 72*b**3.\nAnswer: 4*b**3 - 130*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.2 (b) 0.3 (c) 1\/6 (d) 4\/41 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16 - -62?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2. Let c(p) = -215166903*p. Give c(v(m)).\nAnswer: -215166903*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 + 4*m**2 - 5*m**2)*(-9843*m + 1 + 9682*m - 1).\nAnswer: -322*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7, -32, -71, -124, -191, -272?\n\"Answer: -7*v**2 - 4*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 6 = 9. Let d be (s - 2)\/(2\/(-14)). Let k = d + 13. Calculate the lowest common multiple of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aenhl. Give prob of sequence hen.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -63, -30, 61, 240, 537?\n\"Answer: 5*h**3 - h**2 + h - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14534139 to the power of 1\/3, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -563 by -1322.\nAnswer: 563\/1322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(91) - -3*sqrt(91)) + sqrt(91) + -2*sqrt(91)*2)\/(1*(sqrt(175) + (1*sqrt(175) - sqrt(175))) - sqrt(175)*-2*-4).\nAnswer: 27*sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 17*u + 23 = -47 + 52, 0 = 4*p - 4*p - 4*u + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.16354 - -0.1615134. Let z = 0.0023 + c. Round z to 5 decimal places.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -291511300 rounded to the nearest one hundred thousand?\nAnswer: -291500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2878298, -2878244, -2878190?\n\"Answer: 54*p - 2878352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*s + 6 = 0, s = -v - 0*s. Suppose 6*t - v*t = -12. Sort t, 2, 5.\nAnswer: t, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 62?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 191\/564 - 1\/188. Which is the closest to 1? (a) 0 (b) 0.8 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 2:22 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h - 3*h + 5*h - 4*h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218606827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - t = -2*k - 2, 0 = -3*t + 3*k + 21. Let w(l) = -t - l**2 + 12. Let n(z) = -8*z. Give w(n(a)).\nAnswer: -64*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 3:36 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14813.45 - -15166. Let g = -334 + f. Let l = g - 18. Round l to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) 1\/4 (c) 5\/3 (d) -4 (e) 8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4 = -8. Let l be 1\/(-4) - w\/(-8). Let d be 6\/(-45) - (-2)\/(-10). Which is the nearest to l? (a) d (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (664\/6)\/(20\/30). Suppose 212 = 3*f - g. Let u = 215 - f. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r**2 + 217*r + 3891. What is h(57)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20140121 (base 5) in base 16?\nAnswer: 27877","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1865411262 to the nearest integer?\nAnswer: 43190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d - 14. Let a be h(-12). Let k = a - 12. Suppose 5*r - i - 20 = 0, -3*r + 4 = -2*r + 2*i. Which is greater: r or k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l**2 - 21. Let d(v) = -6*v**2 + 20. What is -3*d(k) - 4*s(k)?\nAnswer: -2*k**2 + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5841 (base 10) to base 11.\nAnswer: 4430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 648464 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 205, 304?\nAnswer: 403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**6\/120 + f**5\/12 - f**4\/4 + f**2. Let r be (1 - 2\/(-10))*-5. Let t be y(r). Solve t*s = -4*s - 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/2, 3778, -2\/19, 4, 0.35 in descending order.\nAnswer: 3778, 4, 0.35, -2\/19, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/2 + 0)*3. Let b be (25\/125)\/(2\/(-4)). What is the third biggest value in m, b, 0.2, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2341 - -2341.2. What is the third biggest value in -4, m, -3, 0.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + 2. Suppose 5*p - i = 6. Suppose 2*o - p*o - 5*t = -113, 112 = 3*o - 4*t. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 9 = 2*z, l + 1 = 4*z + 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, j: 3, u: 2, o: 5}. Give prob of picking 1 j and 1 f.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1303440 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -415, -1651, -3709, -6589, -10291, -14815?\n\"Answer: -411*u**2 - 3*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 2 = -2. Sort t, -4, 2, 3 in descending order.\nAnswer: 3, 2, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*35\/(-5)*2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-7\/5)*s**(-2\/39)*s**(-2\/71)*s*(s\/(s**(2\/25)*s)*s)\/s)**(4\/15) assuming s is positive.\nAnswer: s**(-154912\/1038375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 65, 92, 97, 74?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(116\/(-20) + 6). Let a(c) = -10*c**3 + 59*c**2 + 3*c - 73. Let p(z) = 7*z**3 - 40*z**2 - 2*z + 49. Let h(k) = n*a(k) - 7*p(k). Calculate h(15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 29 - 7)*(0 + 0 - 3*g) as d + p*g and give p.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 - -0.1. Let t = -0.5 - a. Let x = 6739\/7 - 963. What is the third smallest value in -4, x, -2\/3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3.2 (b) 2\/3 (c) 0 (d) 8\/7 (e) -8\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -127537 - -127535. Let t(f) = -2*f**3 + 2*f - f - 2*f**2 - 2*f + 1. Determine t(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a - 180 = -23*a. Calculate the remainder when a is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/21? (a) -652 (b) -3\/8 (c) 0.3 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*n**2 + 12 - 4 + 2 - 31*n**2 + 7*n**3 in the form f*n**2 + l*n + k*n**3 + v and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56995\/28 + -4069\/2. Find the common denominator of v and ((-1)\/(-84))\/(9\/444).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 150*o - 29 = -149*o, 4*p = -4*o - 48 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 - 10. Let t = 111 + q. Calculate the remainder when t is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3240?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*k - 149, 0*s - 486 = -4*s + 2*k. Let w = s - 34. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 55.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6003*c**2*w**4 + 1349*c**2 + 4*c*w**4 - w**2 wrt w.\nAnswer: -144072*c**2*w + 96*c*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(0 + -1 + 3). Find the first derivative of 2*z - d*z - 2 + 1 wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 3 + 3. Let d(k) = 1 - 15 - 5*k - 3*k + 23*k**l. Let z(q) = 8*q**2 - 3*q - 5. Calculate 4*d(r) - 11*z(r).\nAnswer: 4*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*q = -4*q - 16, f + 2*q = -4. Suppose 0 = -f*a - 38 + 110. What is the greatest common factor of a and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by ((-8)\/(-24))\/(6\/1350).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 83.5 + -83. Let n = -7.6 + 1.6. Suppose -3*a = -3*w - 6, 5*w = -0*a - a - 4. Put w, c, n in increasing order.\nAnswer: n, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*t - 16 + 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41885.186 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78, 5, 4, 3783 in decreasing order.\nAnswer: 3783, 5, 4, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - 260\/(-84))\/((-18)\/(-27)). Let j(d) = 2*d - 3. Let m be j(2). Let u = -0.23 - 5.77. Put m, r, u in ascending order.\nAnswer: u, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -5 (c) -1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15d5 + -b?\nAnswer: -15e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2. Suppose -4 = 2*s - 8. Let t(n) = n**2. Let d be -9*(20\/(-6) - -3). Let f = d + 2. Calculate f*r(w) + s*t(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2607216 + -2607218.7000003. Let p = -2.7 - h. What is p rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 9*n**2 - 6*n + 48. Let j(c) = -19*c**2 + 13*c - 104. Let h(l) = 6*j(l) + 13*s(l). Let r(w) = w**2 - 1310*w. Calculate r(h(x)).\nAnswer: 9*x**4 - 3930*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 392164691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 10*u**2 + 9*u - 2. Let y be f(-9). List the prime factors of (-276)\/(-27) - y\/(-9).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (207028\/(-7154) - -29)*14\/(-6)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*z - 13111504 = 5*u - 44*z, 0 = 5*u - 5*z + 13111505. What is u rounded to the nearest 10000?\nAnswer: -2620000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by -164.\nAnswer: 7\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64 and 16.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -10 = 107352?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q = -44*q + 22*q - 77*x + 259, 4*x + 0 - 40 = -2*q for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 64\/18934917 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-292)\/(-4526) - ((-1983)\/(-465) - 3). Let k = 8 + -13. Which is the second biggest value? (a) k (b) w (c) -0.3 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 7:41 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24494242891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 161 = h, -a - 2*h = -2*a + 88. Let i = a - 73. Let u(x) = -x**3 + 5*x**2 + 4. Let d be u(i). Solve 5 = -g - 2*t, d*g + 13 = -3*t + 2*t for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 3*x**2 + x + 1. Let k be m(-2). Suppose -3*h - 4*y + 18 = -23, 2*y = -k*h + 31. Suppose 6*r - 5*r = h. Solve -5*g - 3 = r for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 9:57 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02 - -0.02. Let l = 25 - 15. Let q = -9 + l. What is the smallest value in q, -3, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jujjdadpndun. Give prob of sequence pa.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5306.1 + 5306. What is the nearest to -16 in b, -0.5, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -4*g + 8, 0*p + 4*p - 11 = -5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8537.193 hours in milliseconds?\nAnswer: 30733894800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -440 (base 5) to base 6\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-32)\/(-2) + -1 + -1. Suppose -t = -w + 5. Suppose -3*h + 85 = 2*h. What is the remainder when h is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2436 and 336?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7579 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -41.\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) -1 (c) 7 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 71411304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**3 - 81*r**2 - 768*r + 1836 = 0. What is r?\nAnswer: -9, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8859 + -8856. Solve -41*j = -36*j + n*b, 2*b = 4*j + 22 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 463 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8010 (base 13) to base 3.\nAnswer: -220010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -31*b**2 + 5*b + 21. Let m(q) = -55*q**2 + 8*q + 43. Calculate -3*m(g) + 5*w(g).\nAnswer: 10*g**2 + g - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 38*j + 76. Let v be x(-38). Let f(o) = 2*o**2 + 2. Let k be f(2). Suppose 6 - v = -k*z. Calculate the remainder when 41 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 567370159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and 0.3315.\nAnswer: -0.1685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002691 to 4 decimal places.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 + 79 = 54*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 16) to base 10.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1\/5, -193\/8, 8, 4, -4\/7 in decreasing order.\nAnswer: 8, 4, -0.1, -1\/5, -4\/7, -193\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -59*k + 280. What is the lowest common multiple of 720 and r(4)?\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56174897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and -0.1375066089.\nAnswer: 4.8624933911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u - 6*u + 17*u - 8*u. Let i = 1 + 2. Determine j(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -146892.971 + 146829. Let b = 64 + p. What is b rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -960, -1202, -1608, -2178, -2912, -3810, -4872?\nAnswer: -6098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62964*f**2*h**3*k - 4*f**2*h**2 - 22*f**2*h*k + 11*f**2*h + 39*f**2*k + 13*f*k + 2*h wrt h?\nAnswer: 377784*f**2*h*k - 8*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 10*l - 6. Let x be t(11). Let y(f) = -f - 6 - 2*f + 3*f**2 - 2*f**2. Calculate the remainder when 10 is divided by y(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 m, 1 q, and 1 o when four letters picked without replacement from {t: 3, q: 2, p: 3, m: 1, o: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 259085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15\/509, -1\/3, 3\/7 in ascending order.\nAnswer: -1\/3, -15\/509, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 29?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*j**3 - 4623 + 1345*j + 4623 - 123*j**2 - 4*j**3 wrt j?\nAnswer: -24*j - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -2*l - 4*o + 1, 2 = 5*l + o for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -2. Let k = 61193 - 61193.1. Which is the biggest value? (a) k (b) 0.2 (c) 4 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 2*z + 4*z)*(z + 0 + 0) + 100*z**2 - 213*z**2 + 102*z**2 + 2.\nAnswer: -10*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -321, -333, -345, -357, -369?\n\"Answer: -12*u - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 401885*-12\nAnswer: -4822620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.211594ug to milligrams.\nAnswer: 0.009211594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 5*d + 27. Let l be r(8). Suppose 246 = 5*v - l*v + c, 4*c - 488 = -4*v. List the prime factors of v.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/6 - -52*4\/48. Put 5, m, -4, 14 in decreasing order.\nAnswer: 14, 5, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-26024)\/72 + (-16)\/36. Solve -368*i + k*i = -49 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37990239?\nAnswer: 3, 7, 258437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 38*s + 5. Let d(v) = v**2 - 42*v - 48. Let q be d(43). Let h(t) = 285*t + 38. What is q*h(m) + 38*u(m)?\nAnswer: 19*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - i. Let t(p) = 287*p - 291*p + 0 - 3 - p**2 + 0. Let h(m) = 2*t(m) - 6*w(m). Factor h(u).\nAnswer: 2*(u + 1)*(2*u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 8 = 5. Sort 3.5, -0.5, z, -3 in descending order.\nAnswer: 3.5, z, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 8. Let b be (-1 - p)*(-8 + 7). Find the first derivative of 4*i**3 + 2*i**3 + 2 - 3*i**3 + b wrt i.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2313 (base 6) to base 10.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 b when two letters picked without replacement from {b: 3, v: 2, x: 1, w: 1, e: 5, l: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 520 - 84. Let u = d - 470.3. Round u to 0 dps.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-52)\/(-91) + 6\/(-7). Do s and 18 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 7:26 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2612306, -5224604, -7836902, -10449200, -13061498?\n\"Answer: -2612298*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**5\/6 + m**4\/3 - 5*m**3\/6 - 5*m**2\/3 + 2*m\/3 + 4\/3 = 0. What is m?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i = -4475 - 10370 - 3791. Does 100 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44838 divided by 318\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 40*b**2 - 2*b - 1. Give g(-1).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s - 1 + 1 = 0. Solve s = -4*n - 4*u - 28, 2 = -3*n + 4*u - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 3. Let p(i) = i**2 - 10*i + 10. Let w be p(8). Let r(q) = 2*q**2 - 7. Let b(y) = w*r(y) + 14*s(y). Let o(t) = -5*t. What is b(o(a))?\nAnswer: 50*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -73 + -42 + 84 + (2 - 1)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*h = 42. Suppose -h = -2*b - 0. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (97\/(-194))\/(2\/(-16684))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*z + 12*z - 253566700 = 0. Round z to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from ddsddddssnndsdsdsnn?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-215)\/(-172))\/(((-1)\/(-8))\/((-12)\/(-8))). Solve -209 = 97*n - c for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 21065801*q**2. Let g(z) = 3*z. Determine k(g(t)).\nAnswer: 189592209*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 29190 divided by -9730?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 - (-24 - -44) - -9?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12930 divided by 6.\nAnswer: 2155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 24\/73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1836.833 to the nearest integer.\nAnswer: 1837","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 5*l + 75 = 0. Let q be 3\/(-9) - (-5)\/l. Suppose q = 2*b - b - 4. Solve b = -t - t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86186, -172382, -258580, -344780, -430982?\nAnswer: -517186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k. Suppose -18*r = 15*r - 33. Let l(x) = 12*x + 8 - 8. Calculate r*l(d) + 8*q(d).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f - 225. What is a(0)?\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20\/7 in -1, -14, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 - 46 + 3853*v**3 - 3855*v**3 - 2*v - 2*v**4 + (0*v**2 - 7*v**2 + 0*v**2)*(-3*v**2 + v**2 + v**2).\nAnswer: 5*v**4 - 2*v**3 - 2*v - 37","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-50)\/6 + -1)*(-1035)\/30. Let g be (-92)\/l - (-3)\/(21\/2). Determine z so that 7\/4*z**4 - z**2 + 0*z - 3*z**3 + g = 0.\nAnswer: -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9 + -7)*(-2)\/8*74. Let u = -29 - j. Let z(a) = -a**3 + 7*a**2 + 8*a - 7. Calculate z(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (-19 - 3 - -1)) + -1 - 10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-436)\/24)\/1*(-30)\/(-345). Let j = -44\/23 - q. Which is the second smallest value? (a) 20 (b) j (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 780 + -436. What are the prime factors of r?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 26*v - 140. What is the remainder when 151 is divided by r(18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -31 + 31 - g**2. Let n(j) = 2*j - 4. Let t be n(2). Let v(i) = t*i**2 + 0*i**2 - i**2. Give x(v(y)).\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g - 3. Let r be a(-5). Suppose -r*k + i = -121, -2*k + 4*i = 14 - 132. List the prime factors of k.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -523692 (base 12) in base 6?\nAnswer: -43404302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.819767734 rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 112 - 136. Is (-1 - 1*-73)*(r - -25) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63.17 - 63.17004459. What is m rounded to 6 decimal places?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 1:29 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(o**(-1\/17)\/o*o))\/(o*o**(2\/35)*o))**(-7))**(2\/59))**(-20) assuming o is positive.\nAnswer: o**(-4752\/1003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6 times 0.2825?\nAnswer: 0.7345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 20*w + 22. Let a be f(-19). What is the tens digit of 1955\/15 - 1\/9*a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.174 + 0.0564. Let k = -0.098 - i. What is k rounded to three decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 648006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5726 and 210.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*i = -4*i - 8309280000. What is i rounded to the nearest one million?\nAnswer: 74000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14360649?\nAnswer: 3, 4786883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - 0.55. Let q = -0.13 - f. Let u = 1.9 - q. Round u to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22773 and -0.014?\nAnswer: 318.822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 + 28*z**2 + 29*z + 55. Give o(-13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oofo when four letters picked without replacement from {o: 8, f: 5}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (44\/154 - (-14447)\/(-3255)) + 4 and -43\/27.\nAnswer: 4185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -2*z + 1\/6*z**4 - z**2 + 0 + 0*z**3. What is the derivative of k(d) wrt d?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + 3*r + r + (1 - 4 + 1)*(8 + 1 + 71)*((-3 + 4 - 2)*(1 - 1 - 2*r) + 8*r + 9*r + 13*r).\nAnswer: -5118*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 102 - 118. Calculate the remainder when o is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 + m**2 + 5*m**2 - 19*m.\nAnswer: 2*m**2 - 19*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30663101 (base 7) to base 15.\nAnswer: -36178b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16477968 to the nearest integer?\nAnswer: 4059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h*h*h**9*h)\/h)\/h)\/h*h**(-4\/13))**(-1\/16)\/((h**(1\/9)*(h**9*h)\/h)\/(h*h**1)**(-1\/5)) assuming h is positive.\nAnswer: h**(-47347\/4680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5*6*(-6*sqrt(1331) + sqrt(1331)) + -2)*-1)**2.\nAnswer: -59400*sqrt(11) + 269527536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 2*s - 23, -1141*a = -1136*a - s - 71 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21513 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 21897.\nAnswer: 1751760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 177212961 a multiple of 365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s**2 - 7*s - 34. Give j(-4).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q**3 - 3*q**3 + q**3)*(-5 + 2 + 1)*(-4 + 3 + 0) + 11838*q - 762*q**3 - 11838*q to the form u*q**3 + p*q**2 + s + o*q and give u.\nAnswer: -768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -273699*r - 16421963. What is d(-60)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 404, 812, 1226, 1646?\nAnswer: 2072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, s: 4, l: 2, o: 4, y: 2, e: 1}. What is prob of picking 3 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -306 + 576. Suppose 5*o = -0*o + h. Let s = -38 + o. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3)*91*1107\/(-12792)?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 27 = -3*b, -21 = -b - 0*b + 2*z. Suppose j + 5 = b. Let r(a) = 13*a**3 + 17*a - 41*a + 19*a. Let p(x) = -20*x**3 + 8*x. Calculate j*r(i) + 5*p(i).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -38 (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + d - 17. Let r be z(-5). Let h be -1*(-2)\/12 + 0. Which is the third biggest value? (a) h (b) r (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18153274 is divided by 6051066?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = w + 4*s, -6*s - 8 = -2*w - 4*s. Solve 2*q = 9 + w for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 r when three letters picked without replacement from {t: 2, g: 2, s: 1, r: 1, a: 2, j: 4}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 9, 238, 4 in decreasing order.\nAnswer: 238, 9, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 47, 6871, 1\/3?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 0 + 3)*(-1 + 1 + 2) + 182 + 51 + 22 + 6 - 2 + 6)*(-z - 3*z + 3*z) in the form t + m*z and give m.\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 19*p**5\/20 + p**4\/6 + p**3\/3 - 2*p**2 - 23*p. Let w be f(2). Let n = -43 + w. What are the prime factors of n?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -13*r**2 - 2*r. Let q(v) = -3*v. Determine z(q(m)).\nAnswer: -117*m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -670*h + 670. Calculate u(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -12*n + 70. Suppose -2*k + 0*p = p - 50000003, -k + 25000012 = n*p. What is k rounded to the nearest 1000000?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 11*q**2 + 21*q - 19. Let w(b) = -5*b**2 - 10*b + 9. Let s(y) = 4*u(y) + 9*w(y). Give s(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3952)\/(-114) + -34)*(-1 + (-12)\/(-21)). Let a = -0.6 + 0.1. Let l be 3 + (-1 - (-1 + 0)). What is the nearest to r in 1, a, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(34)\/sqrt(2))**2 + sqrt(17) + 5.\nAnswer: sqrt(17) + 617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 207*h**3 + 371. Let o(q) = 2*q**2. What is o(t(v))?\nAnswer: 771282*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -71134680 divided by -116?\nAnswer: 613230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -2*j + 32*x - 31*x, 0 = 5*j + 3*x + 23 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 387*w**3 + w + 387*w**3 - w**4 as l*w + a + r*w**4 + d*w**2 + j*w**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/5 - 2126*l - 10620.\nAnswer: -2*(l + 5)*(l + 5310)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7198947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -62*q**3 + 1297*q**2 + 14*q + 61. What is x(21)?\nAnswer: -1850","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -3\/2*v**2 + 0*v + 3. Let i(f) = 0*f - f - f. What is i(t(m))?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1621197827.\nAnswer: 1453, 1115759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 - 3912*c**2 + 15687*c - 11772.\nAnswer: -3*(c - 3)*(c - 1)*(c + 1308)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-24))\/((-60)\/80). Let r(x) be the second derivative of x**3 - x + 0 + q*x**4 + 2*x**2. Find i, given that r(i) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*k + 18 = 0. Let u be (8\/k - 2)*-3. Solve -5*s - 6 = -u*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**3 + g**3 + 2*g**3)*(0 - 3 + 2 - 17*g).\nAnswer: 34*g**4 + 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3288\/7 + -482. Is f at least as big as -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/861? (a) 1\/7 (b) 5 (c) -4 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2739*k**2 + 297*k + 297. Let a(w) = -37*w**2 + 4*w + 4. What is 297*a(p) - 4*o(p)?\nAnswer: -33*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 407000?\nAnswer: 407000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306 = -7*p + 10*p. Let u = 183 + p. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 108\/8898521 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-17)\/(680\/96))\/((-6)\/40) and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 1)*(20060930*d - 20060930*d - 8992*d**4 + 1575*d**4) in the form c + r*d**3 + a*d**2 + z*d + n*d**4 and give n.\nAnswer: -22251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**5 - 274*l**6 - 289*l**2 + 7*l**5 - l**5 - 5*l**5 wrt l.\nAnswer: -32880*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 35 - 10) + -9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1932 * -37.2\nAnswer: -71870.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*f + 3. Let j = 96.276 + -96. Let m = -0.076 + j. Which is the closest to 0? (a) m (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/8)\/((-59)\/(-944)). Which is the nearest to -1? (a) q (b) -88\/3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319 = 228*n + 775 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21118 divided by -5.\nAnswer: 21118\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -4*o + 11, 4*l + 5*o = 5*l + 16 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/494764 and 49\/8?\nAnswer: 989528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 5:59 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20142444 and 220136?\nAnswer: 40284888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 0.5 (c) -64 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from nnnnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**2 + 2*h**3 + 7*h**2 - 27*h**2 as l*h**2 + u*h**3 + f + x*h and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(84)\/sqrt(112)) + -1)**2 - ((sqrt(44)\/sqrt(2) + sqrt(22))\/sqrt(2) + (sqrt(11) - (sqrt(55)*-2)\/sqrt(5))).\nAnswer: -13*sqrt(11) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 12:26 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o - 1. Let z be 2*(-82)\/(-52) - (-6)\/(-39). Let n(d) = -3*d + 5*d - z*d. Suppose 4*i + 4 = -4*u, 5*u = -i - 2*i - 7. Give i*y(s) + 5*n(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29116*k**5*u**2 - 130*k**2*u**2 + 1071*k*u**2 + 3972*k wrt k.\nAnswer: 582320*k**3*u**2 - 260*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of h**5\/120 - h**4\/24 - h**3\/3 - 2. Let r(u) be the third derivative of g(u). Calculate r(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105283729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 791516293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a\/(a*a**(-1\/17)*a)*a)\/a)\/a)\/(a*a\/a**(-3\/8)*a*a))\/(a**(-2))**(-2\/119) assuming a is positive.\nAnswer: a**(-5093\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7160, 29764, 67834, 121376, 190396, 274900?\n\"Answer: w**3 + 7727*w**2 - 584*w + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffeefeffeefffff. What is prob of picking 3 f?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 1\/4*s**5 + 57*s + 0*s**2 + 20\/3*s**4 - 2 - 85\/6*s**3. Factor q(v).\nAnswer: 5*v*(v - 1)*(v + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5165329?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of p**8\/336 - p**4\/6 + 2*p**3\/3 + 8. Let f(z) be the third derivative of d(z). Find the first derivative of f(q) wrt q.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 320 and 1080.\nAnswer: 8640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 + 50. Let u(k) = k**3 - 9*k**2 + 9*k - 5. Let x be u(t). Find the second derivative of -7*z**3 + z**x - 13*z - 10*z wrt z.\nAnswer: -36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millennium in months?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -13333 < 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -20*a**2 - 2*a + 1. Let u be (-3)\/((-2)\/(-12) - 14\/12). Let g be 4\/(-30) + u\/((-180)\/(-68)). Give n(g).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -18. Let v = -15 - g. Let t(b) = 2*b + 0*b - 4*b**v + 2 + 2*b**2. What is t(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8580167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -15530.7?\nAnswer: -15513.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 + -32. Suppose -4*m = s - 130. Suppose -2*w + 14 = -0*k - k, 5*k - 47 = -3*w. What is the highest common factor of m and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 32*j**2 + 13 + j**2 - 24*j**2 - 4*j**2 - 4*j**2 - 14*j. Let g be v(1). Solve 4*l - l = g, 6 = -2*a + 2*l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 10:09 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 352 and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, o: 1, a: 3, n: 13, j: 1}. Give prob of picking 1 a, 1 j, 1 o, and 1 n.\nAnswer: 13\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3821680 divided by 10\nAnswer: 382168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4325\/1557*(18\/(-21))\/((-6)\/21)?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + -5)*(7 - 8). Suppose -n*m - 1386 = -g, -4*m - m = -10. Let t = g + -899. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 21*r**2 - 61*r - 80. Let v be c(24). Solve 186*h + 4 = v*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 2:13 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 101030312130 (base 4) to base 2\nAnswer: 10001001100110110011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.04 - -0.04. Let o = f + 3.2. Let p = o + -0.22. What is p rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2237181?\nAnswer: 3, 745727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*h**4 - 42*h**3 - 3*h**2.\nAnswer: 3*h**2*(h - 1)*(15*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((u - 3 + 3)*(u**2 - 2*u**2 + 3*u**2) - u**3 + 2*u**3 - 9*u**3)*(-12 - 2 + 3)*(-2*u**2 - 12*u**2 + 2*u**2).\nAnswer: -792*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 349 = -13170*j + 13166*j, -5*j - 475 = 4*g for j.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + -1. Let q = -8 - y. Let h = -0.43 + 0.03. What is the second smallest value in q, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 v when four letters picked without replacement from {f: 1, v: 11}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 15 = -8*m, -3*m + 89 = -5*o. Let p = o + 31. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10232321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8419, -8311, -8203, -8095?\n\"Answer: 108*y - 8527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12503 is divided by 205?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -257 - -254. Sort q, -2\/9, 1\/2, -6.\nAnswer: -6, q, -2\/9, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -32, -5, 22?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + 18e63bb?\nAnswer: 18e63b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-56)\/9 + (-10)\/(-45). Is 12 a factor of (3\/h)\/((-1)\/26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -6*t - 46. Let l be f(-7). Calculate the remainder when 150 is divided by 4*(-3)\/l - -29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w + 6*w + 84 - 84 - 10*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/45)\/(136\/20 - 7)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.71121 + 1536.38121. Let k = w - 1528. Let n = 6 - k. Round n to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218726873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3288 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -412*x**5 + 412*x**5 + 40*x**2 + 24*x**6 wrt x?\nAnswer: 2880*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 10.47. Let x(k) = -k**3 + k - 1. Let v be x(-2). Let j = 5 - 1. Put h, j, v in descending order.\nAnswer: v, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 14 = 5*n. Let c be 0 + 3 + n + 3. Suppose -c*a = 2*a - 80. What is the remainder when a is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50008, 351, -21.\nAnswer: -50008, -21, 351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-506)\/5 + 24648\/4740\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 11 = 1. Let l(n) = 1 - 2*n + 9*n**2 - 5*n - 2*n**2 - n**3 + 0. Determine l(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4*-3*((5 + sqrt(63)*-1*4 + sqrt(63))**2 + 2).\nAnswer: -7133 + 1080*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -29812436 = -29812438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 168323731 to the nearest integer?\nAnswer: 12974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 117, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 64272.8ng?\nAnswer: 0.0000000000642728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -4*s - 7 - 16, -13 = -2*i + 5*s for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 4 + (15 - -33) + -34 + -4 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58016 is divided by 988?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 7*q + 18. Let j be (2\/4)\/(43\/(-172)). Find the common denominator of 34\/7 and i(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(((o**(-2\/23)\/o)\/o*o)\/o)))\/(o*((o*(o*o**(-3\/23))\/o*o)\/o)\/o))**(6\/5) assuming o is positive.\nAnswer: o**(-408\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 880 + 20 = 29*t. Which is greater: t or 19?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 11 = 3*i - 4*o, -2*i - 6 = -2*o. Let g be i\/((-28)\/9) - 1. Which is bigger: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 5:29 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((5 + (1*sqrt(15) + sqrt(15))\/sqrt(3) + 5*-2*sqrt(5) + sqrt(5))**2 - (5*(sqrt(875) - sqrt(35)))\/(sqrt(112) - sqrt(112)*2 - sqrt(112) - sqrt(112))).\nAnswer: -810 + 205*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/1342 and 1\/66856.\nAnswer: 735416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 910955572?\nAnswer: 2, 23, 9901691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*18\/10*(294\/9)\/(-49). Calculate the greatest common factor of l and 1280.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26915 at most -26927?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -574 = -6*l + l + 564 - 1058 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.49 times 0.4\nAnswer: -0.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d + 18 - 17546*d**2 + 18378*d**2 - 16 - d to j + n*d + u*d**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (j - j - 2*j)*(-2*j + 3*j + j) + 4*j**2 - 4*j**2 + j**2 + 3440*j**2 - 1718*j**2 - 1728*j**2 + 181*j in the form v*j + h*j**2 + n and give v.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 98705\/2, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millimeter in micrometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -2. Calculate the common denominator of 23\/4 and (-22)\/y - (1 + -2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/(-32))\/(2\/(-4)))\/((-5490)\/976)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 8710*j**2 - 4 + 1.\nAnswer: 8710*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3761 - -7969. What are the prime factors of b?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*d + 4*r - 429, 83*d - 258*d + 87*d + 87*d + 2*r - 207 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.26202777 plus 0.5?\nAnswer: -0.76202777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 830942170 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + -25 - (-1 - -5) - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 423630?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**2 + 24*q - 23. Let f be x(-9). Solve -20 = 4*m + 5*h - 7, -m = -f*h - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 l when four letters picked without replacement from eelllee?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -457 smaller than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 2:00 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.8896 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -11220?\nAnswer: 12000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 23 = -4*b, p + 3*b = -b + 7. Let n be (-12)\/(-42) - (-5394)\/(-14). Let x = -370 - n. Calculate the highest common factor of x and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 753*c**3 + 2*c**2 - 12*c + 10. Is a(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -16*s**2 + 17*s + 29. Differentiate y(f) with respect to f.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-7 + 0 + -5) - (0 - -16).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 39.1639 and 29934.\nAnswer: 29973.1639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 16 = 7*z. Solve -2 = z*k - 18 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29268258 bigger than 0.17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 21523?\nAnswer: 21524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6184086683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6909, 27657, 62245, 110679, 172965, 249109?\n\"Answer: m**3 + 6914*m**2 - m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2 - 2*b**2 - 7*b**2. Let g(p) be the first derivative of -3*p**2\/2 - 10708. What is w(g(s))?\nAnswer: -63*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (2 + 4 + (0 - -3) + -17).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13012 (base 4) to base 9\nAnswer: -554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*w**3 + 1)*(3 + 2*w**2 - 3 + (0*w + 0*w + 2*w)*(2*w - 3*w - 4*w)).\nAnswer: 16*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 124\/3*p**3 - 2\/3*p**5 - 122\/3*p - 40*p**2 + 40*p**4 = 0 for p.\nAnswer: -1, 0, 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28435824 or 28435815?\nAnswer: 28435815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8951, -26, -4\/7, 1\/4.\nAnswer: -26, -2, -4\/7, 1\/4, 8951","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 22*m**2 - 3*m - 6. Let p(a) = 2*a**3 + 22*a**2 - 4*a - 8. Determine 4*j(h) - 3*p(h).\nAnswer: -2*h**3 + 22*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 644 and 22786606?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3484 (base 13) in base 5?\nAnswer: -214000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -29739 to the nearest 1000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 3 - (-1 - -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6131\/9440 - -1\/1888. What is the common denominator of x and 41\/58?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 a when three letters picked without replacement from {a: 2, q: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2273.1 + -2500. Round s to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2902505361?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01658 * -0.3.\nAnswer: -0.004974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 355742993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 1:00 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/4 + 6*g - 32.\nAnswer: -(g - 16)*(g - 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 r when two letters picked without replacement from {a: 1, o: 1, u: 1, i: 3, z: 1, r: 6}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12329678 is divided by 761?\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11)*3 + 5)**2 - sqrt(44)\/sqrt(196)) + sqrt(110)\/(sqrt(10) + sqrt(50)\/(sqrt(5)*3)) + 3.\nAnswer: 857*sqrt(11)\/28 + 127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33660*n**3*t**2 - 3*n**3 - 3*n**2*t**2 + 3*n*t - 99*n + 343*t**2 wrt n?\nAnswer: 201960*n*t**2 - 18*n - 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.51 + 0.21. Let b = -25 - -25.1. Let p = 2153\/6 + -357. What is the second smallest value in g, p, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = i - 3*p - 25, 2*i - 14 = -2*p. Solve -4*h = -i*h + 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*t + 12*t + 10. Suppose t*b - 23 = -3. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 2*v + 2. Suppose 469 = -0*d + 4*d - 5*s, 112 = d - 3*s. Let n = 118 - d. Let h(y) = y**3 - y + 1. What is n*f(j) + 6*h(j)?\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099598 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16\/9 in -0.4437, -4, -2?\nAnswer: -0.4437","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -298326424.2 - -404.1?\nAnswer: -298326020.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8506999570.\nAnswer: 2, 5, 1549, 549193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.06398 + 19135006\nAnswer: 19135006.06398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*v**2 + 120*v**2 - 253*v**2.\nAnswer: -14*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9300)\/(-9765))\/(6\/(-21))?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3378*r**2 + 5*r - 443*r**2 - 151*r**2 - 5*r.\nAnswer: 2784*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 1605 + 1379. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -13. Let u = 5.35 - 2.35. What is the third smallest value in h, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -g + 1, 2*g - 14*c + 12*c - 8 = 0. Suppose -3*j + 2218 = -5*t, -g*t - 509 - 227 = -j. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 685359 and 360972.\nAnswer: 2439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/30 and -107\/5716272?\nAnswer: 28581360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*107\/(-2)*1. Let i = 53 - q. Which is the nearest to i? (a) -3 (b) -2 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2284 - 30 = -43*k - 1659 for k.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -41, 2, 1\/138?\nAnswer: 1\/138","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3892, 8832, 0.5, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -966718*g**3 + 1424*g**2 - 1424*g + 712. Let i(q) = -14930*q**3 + 22*q**2 - 22*q + 11. Give -11*h(z) + 712*i(z).\nAnswer: 3738*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/4*(-2486)\/(-565).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1957?\nAnswer: 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**6\/120 + 2*h**5\/15 + 5*h**4\/12 - 2*h**3\/3 + 3*h**2\/2 - 4*h. Let g(j) be the first derivative of u(j). Calculate g(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r + 21. Let z(f) = -10*f**2. Give t(z(p)).\nAnswer: 20*p**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l - 5. Let v be h(9). Suppose 7*r = -j + 6*r - 3, 3 = -j + 4*r. Sort -2, j, v in descending order.\nAnswer: v, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 8 = 4*j. Let n = -2 + 1. Let o be 0\/(-3) + n\/1. Put o, 0, j in increasing order.\nAnswer: j, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -117.\nAnswer: -5\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 767384160.\nAnswer: 2, 3, 5, 19, 84143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44202 and 1855?\nAnswer: 1547070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 22\/6 - (-2)\/(-3). Let o(z) = 17*z - 73. Let l be o(5). Suppose -18 = -4*n - y, -4*y - 24 = -5*n - l. Sort n, -4, k, -3 in decreasing order.\nAnswer: n, k, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1016, 6099, 19318, 44741, 86436, 148471, 234914, 349833?\nAnswer: 497296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4*f = -548, 0 = h - 6*h + 4*f + 572. Let u = h + 0. Suppose 0 = 4*x - u. What is the remainder when 55 is divided by x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 115991 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6315469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4867954l to millilitres.\nAnswer: 486.7954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 401 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 86.4 or 2?\nAnswer: 86.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -9*y**3 + 5*y**2 - 2*y - 3*y**4 + 3*y**5 + 0*y**4 - 4*y + 10*y**2 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-1 + (0 - 0)). Let o(y) = -1 + 4 + y + 0*y. Let p be o(0). Solve -35 = 2*k + 3*x + q*x, -p*k = -3*x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11244183 to the nearest ten thousand.\nAnswer: -11240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = -0*q + 7*q. Suppose q*x = 7*x + 5264. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - 2*j - 9*j + 21*j - 2*j - 5*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5784953719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*j - 2*d, 42 - 55 = j - 3*d for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 b, 1 v, and 1 w when four letters picked without replacement from {v: 2, b: 1, w: 1, o: 1, j: 3, t: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423 is divided by 134?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51.01 - -51. What is the second biggest value in o, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -63 + 700?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -123*h - 14706. What is o(-119)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 l when two letters picked without replacement from pgwflplf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and -63207?\nAnswer: 63209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14009 + -14007. Let i = -1 - -3. Suppose -6 - i = -y*g. Solve -13 + 5 = -g*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 121*z**2 - 63*z + 116. Let a be u(2). Is 480 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -109 + 108.9768. Let b = s + 0.02320605. What is b rounded to 7 decimal places?\nAnswer: 0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -30*g + 28. Let l(x) be the third derivative of 0*x**g + 0*x + 0*x**4 + 1\/720*x**6 + 0 + 3*x**2 + 0*x**3. Factor l(m).\nAnswer: m**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2493984 and 3984?\nAnswer: 2493984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u**(-2)\/u)))**6\/(((u*u**(-1\/5)*u)\/u*u)\/u**(-1\/5)))**(1\/23) assuming u is positive.\nAnswer: u**(-20\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1515*b*n**2 - b*n - 281 wrt n?\nAnswer: -3030*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 824376240 to the power of 1\/2, to the nearest integer?\nAnswer: 28712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4501085 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5826 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + 3. Let w be x(-1). Suppose -w*u + 3*q - q - 14 = 0, 0 = -2*u + 5*q - 27. Is -1\/52 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*m + 9209, -6905 = -3*m + 6*k - 2*k. Suppose 3*q = -o + 2310, -o - 2*q + m = -6*q. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 5*o + 5, -4*o = -3*o + 2*a + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-81 + 34 - 154)*(0 + 3*h + 0) + 0 + 24*h - 1 + 1 + 58*h in the form s*h + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 9 = 2*j - 3*j, 5*j + 2*o - 15 = 0. Suppose -j = -l - 0*l. Let t = 4 - 2. Which is bigger: t or l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**4 + 42682376*r**3 + r - 84908998 wrt r?\nAnswer: 12*r**2 + 256094256*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a day in seconds?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 530*g**2 - 1532*g**2 + 587*g**2 + 766*g**2.\nAnswer: 351*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 2688.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhhhhh. What is prob of sequence hhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 217 + -305?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 44365400 to the power of 1\/4, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = k + r - 3, 5*k + 3*r - 7 = 0. Put -4, -0.47, -1, k in descending order.\nAnswer: k, -0.47, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 17 + 16. Let d be 201*(n\/(-3) + -3). Suppose -2*w + 84 + d = 0. What are the prime factors of w?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 244\/110 - 4\/10.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 236170451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8*(-4)\/(-24))\/(2 - (-2786)\/(-1407)). Solve -24*o - 5 - y = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 36869419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-8) + (-7)\/(-4). Solve m*t - 8 = 4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k = -8*k - 6 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.041 + -2.541. Let f = c - -2.6. Suppose 5*u + 9 = 4*l, 5 + 0 = -5*u. What is the closest to f in 3, 1\/2, l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-19)\/(-3) - 7\/21. Suppose 4*h - z*h = p - 103, 4*p - 5*h - 360 = 0. Suppose -97 = -4*a + p. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 630985*v**2 - 3*v - 1. Let u be q(5). Suppose 3*h - u = 2825391. Round h to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*y = 55, 2*r - 2*y - 43 = y. Suppose -4*f + 792 = -r. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 + 73 - 38 + 140)*(-3 + 3 - 2)*(2 - 2 - 2)*(17 - 17 + 14*a).\nAnswer: 7616*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -261 - -453. Suppose 70*i - 69*i = a. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0196307 + -5.\nAnswer: -4.9803693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 - -33821) + 36\/42*168\/36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -9*w + 8. Let v(h) = 2*h. Let k(r) = d(r) + 4*v(r). Suppose 0 = 4*o - 25 - 3. Give k(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27436.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/6*72\/240. What is the nearest to 1 in 0.3, -16, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(102))\/sqrt(2))\/(-4*(sqrt(3) + sqrt(12))).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 7*j**2 - 5*j - 2. Determine n(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -17. Let u be -2 + (-2 - w) + -1. Let o be u\/2 - (-1)\/(-1). Solve 2 = 3*i - o for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-1)\/2*8\/(-20).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 30 - 16)*(3*x - 4*x + 3*x) - 5*x + 26 - 51 + 21.\nAnswer: -x - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 3 in decreasing order.\nAnswer: 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 113325342 + -3?\nAnswer: 113325335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2062796134 to the nearest integer?\nAnswer: 1273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 7*a - 32 = 0. Let p be a\/10 - (-6)\/(-15). Is 3 a factor of (1\/p)\/(4\/(-120))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2142 and 461601?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.36516 litres?\nAnswer: 9365.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -452 + 463. What is the remainder when 75\/4 - 1\/(-4) is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a - 6*a - 2*a + 14*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 at most as big as -83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w - 5. Let h = -5 + 7. Suppose 12 = -0*l - h*l. What is the units digit of y(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17468 + 1874 = 980*c - 7118 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 9*o**2 + 8*o + 4. Suppose -2*b = -5*p - 9, -2*b + 1 = b - 5*p. What are the prime factors of m(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/4 (b) -12 (c) 2336\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(3\/20))\/(g*g**(-9\/2))*((g*g**20)\/g)\/g**(-3\/17) assuming g is positive.\nAnswer: g**(8441\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -561 + 569. Let r(c) = 13*c**2 - 9*c - 7. What is the units digit of r(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/5 (b) 0 (c) 0.01 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(187)*4 - sqrt(187)) + sqrt(187) + sqrt(187) - 5*sqrt(187)*-5)\/((sqrt(88)*1*6)\/(1*sqrt(8)*-5)).\nAnswer: -95*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 0, 2*q - 5*o = 151333 - 41247. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -760255.\nAnswer: -760255.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9355, -18691, -28025, -37357, -46687, -56015?\n\"Answer: g**2 - 9339*g - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 12227747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -7*c - 37. Let i be v(5). Let r be (1\/(-4))\/(6\/i). Let o be r - 13 - 4*(-1)\/1. Let h(x) = 4*x + 6. Give h(o).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -475*v**2 + 1. Let w(y) be the second derivative of y**3\/2 + 495*y + 1. Calculate w(k(s)).\nAnswer: -1425*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(35\/6))\/(54*38\/3591).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 132491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -19 * -0.12600211\nAnswer: 2.39404009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -222203132 (base 5) to base 11\nAnswer: -606933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127875 is divided by 406.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 minus 8784828?\nAnswer: -8784827.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) - sqrt(1872)*4*6) + 2 + -4.\nAnswer: -276*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 35 = -3*p - 5*u, 5*p + 2*u + 35 = 0. Let a(h) = -h**3 - 6*h**2 + 9*h + 6. Let x be a(p). What is the second smallest value in x, -2\/3, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.126 in -1\/10, -4, -6?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/2)\/(3\/(-4)). Solve -4*o - f = 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -2*a + 4*a + 2, 2*i = 2*a + 14 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10)\/(-4))\/1)\/((-2)\/4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d**5 - 69*d**3 - 2*d**2 - 7.\nAnswer: 180*d**2 - 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 - 3*w + 1. Let k be m(2). Suppose k*z = -5 + 17. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.977757 to one dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmvmmllmmmmvllllvmvm. What is prob of sequence lmm?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10020112020 - -10?\nAnswer: 10020112100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(2299) + -3 - (sqrt(2299) - 6*(-2 + sqrt(2299)))) + (5 + (4 + -1 + sqrt(2299) - sqrt(2299)))*-5)*1)**2*-3.\nAnswer: -257040 + 21384*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - d + 21 = -5*d, -4*d = 16 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/(-5)*1*-1. Let y(x) = -5*x**3 + 3*x**2 + x + 2. Let g be y(o). Let a = 38 - g. What is a rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5, -1, 7, -10 in increasing order.\nAnswer: -10, -7, -5, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*u**2 + 195*u**2 - 20172*u**3.\nAnswer: -20172*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 16*v + 10\/3*v**5 - 40\/3 + 142\/3*v**2 - 10\/3*v**3 - 18*v**4 = 0.\nAnswer: -1, 2\/5, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of h + 1\/24*h**3 + 1\/48*h**4 + 0*h**2 - 2. Let k(u) be the first derivative of c(u). Factor k(f).\nAnswer: f*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + 2)\/(8\/(-40)). Suppose -h*w + 122 = -598. Let l = w - 39. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 56686\nAnswer: 28343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9067165 divided by -1.\nAnswer: -9067165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 10 + 19\/(22572\/(-3509)) + (-1)\/12.\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4367403 - -5?\nAnswer: 4367410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-11)*w)\/w)\/w)\/(w\/(w**(2\/3)\/w)*w)*(w\/(w\/(w**(2\/5)\/w)*w*w))\/(w**3\/w*w) assuming w is positive.\nAnswer: w**(-284\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uugudgqgzgggugg. Give prob of sequence zqu.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/1158 and -149\/30.\nAnswer: 5790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 + 15*t + 31. Let l be g(-6). Let c(n) = 2*n - 17. Let x(i) = i - 8. Determine l*x(r) - 6*c(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 0*k**4 + 1\/5*k**5 + 0 + 0*k + 3*k**2 + 0*k**3. What is the units digit of v(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.180709 milligrams to micrograms.\nAnswer: 8180.709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 11*i**3 - i**2 - 2*i + 2. Is 7 a factor of m(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54820630 divided by -5?\nAnswer: 10964126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1202210 (base 3) in base 2?\nAnswer: -10100001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 559875616 to the power of 1\/3, to the nearest integer?\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -13*z + 7*z**3 - 6*z**3 - 11*z**2 + 4 + 0*z**2 - 2*z**3. List the prime factors of q(-10).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p**2 + 10*p**2 - 7*p - 5 + 12. Let n(z) = 5*z**2 - 6*z + 6. Let y(l) = -6*j(l) + 7*n(l). Let u(d) = 9*d. Calculate u(y(q)).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 227 or 228?\nAnswer: 228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000067249971 to 7 dps.\nAnswer: -0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478047107.\nAnswer: 29, 223, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58755 and 450.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 415 and 1589?\nAnswer: 659435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1562777 - 39*s - 1562771 + 3125546.\nAnswer: -39*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2132057, -2132077, -2132099, -2132123, -2132149, -2132177?\n\"Answer: -n**2 - 17*n - 2132039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9421 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3717 = -17*r - 402. Let i = r + 55. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 66*m + 2. Let g = 18 + -26. Let a be k(g). Let z = a - -287. Round z to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21010200 + -12211?\nAnswer: -21100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 213*i**2 + 177*i - 970. What is the units digit of h(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -50, 3633 in decreasing order.\nAnswer: 3633, -4, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*y - 5*i = 15, -3*y = 5*i + 15. Suppose 0 = 2*v, y = 4*b - 2*v + 3*v. Solve 5*n + 3*u + 12 = b, -20 = u + 4*u for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8\/3 + 83\/6. Let i = -749\/66 + p. Put i, -2\/15, 4\/5 in descending order.\nAnswer: 4\/5, -2\/15, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113706787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**4)\/(w\/(w\/(w**(3\/4)\/w)))*w**2\/(w**(-2\/17)*w) assuming w is positive.\nAnswer: w**(-111\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-17 + 25 - (33 + -8 + -7 + 3))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46.45307 litres?\nAnswer: 46453.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vaa when three letters picked without replacement from vaavvavvvvvaaaav?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (42\/35)\/(2\/15). Let z(v) = v**3 - 9*v**2 - 3*v + 6. Let i be z(f). Let r = i - -41. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1078) + (sqrt(1078) - (sqrt(1078)*4 + sqrt(1078))))\/((sqrt(132)*-3)\/sqrt(12))*3.\nAnswer: 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -243.267 and -16.\nAnswer: 3892.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 2.43 (c) -4.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -23944, -23942, -23940, -23938?\n\"Answer: 2*z - 23946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -65016217 divided by -8\nAnswer: 65016217\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - 396?\nAnswer: -38a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 1791.\nAnswer: 1791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 divided by -11?\nAnswer: 81\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -14, -294, -1, 32, 1 in descending order.\nAnswer: 32, 1, -1, -3, -14, -294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1165 + -798. Let r = -1841\/5 + x. Is r at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 233 - 2*p**3 + p**3 - 213 + (-1 + 0 - 1)*(3*p**3 - p**3 + 0*p**3) to a*p + m + c*p**2 + k*p**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1658268 and 3212.\nAnswer: 18240948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 206, -23\/43, 6?\nAnswer: -23\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + x - 1. Let d(g) = -2*g**3 + 4*g**2 + 6*g - 6. Suppose 2*k - 2*a = -4 - 2, 3*k + 7 = 2*a. Give k*d(o) + 6*u(o).\nAnswer: 2*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6011 - -6159. Is 448\/3 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25670 - 25675. Let z = -0.2 - 1.8. Let u = z - -3. Sort u, 2\/25, b in increasing order.\nAnswer: b, 2\/25, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 - 33*i - 507. Give w(-15).\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + ((-4)\/10)\/(14\/(-35)). Let k be -1 + 1 + j + (0 - -4). What is the remainder when 383\/k + (-22)\/(-55) is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12700249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 6*h. Let j(q) = 145 - 145 + 17*q. What is j(y(x))?\nAnswer: 102*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 485093982?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 4*q. Let b(w) be the third derivative of -w**2 - 1\/24*w**4 - 1\/2*w**3 + q*w + 0. Calculate b(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-5) - 1\/5. Let o(l) = l - 4. Let t be o(-3). Let k = t - -9. Solve -k*c + 0*c = -a + 5, d*c + 3*a + 21 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13212a0 (base 11) to base 8.\nAnswer: 10560157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -688*v**3*z**4 - 333*v**3 - 4*v**2 - 4288*v*z**6 - v*z**2 + 2*v*z wrt z?\nAnswer: -16512*v**3*z - 514560*v*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 128797997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2. Let h(i) be the second derivative of 17*i + 0*i**3 - 19\/12*i**4 + 0*i**2 + 0. Give k(h(m)).\nAnswer: 361*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.46228*-1000.\nAnswer: -3462.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.06 - 0.06. Let f be 2 - (-4 - -3 - -4). Put f, 0, y in decreasing order.\nAnswer: y, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 - 20. Let b(m) = m**2 + 124*m + 2969. Let i be b(-32). Solve -l*k - 3*y = -0*y - 40, 3*k + 2*y = i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 11210 = -2930. Suppose -13*b - w + 5374 = 0. Suppose -380 = -2*s + 5*c - 110, -2*s = 3*c - b. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z, 76*a - 2*z + 3 = 73*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/(-450))\/(20\/50). Is -1 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 5*s**2 + 3*s - 1. Let f(b) = 3*b + 4. Suppose p + 2*p = 18. Calculate the remainder when f(p) is divided by o(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-5)*5\/1. Let j = u - -2. What is the units digit of (j\/(-4))\/((-12)\/(-32))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -8 (c) 5 (d) -24 (e) -3\/7 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 16*i**2 - 47*i - 468. What are the prime factors of h(-27)?\nAnswer: 3, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -5 (c) -4499275 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - r + 2. Let n be p(0). Suppose 5*g - 11 = n*y + 34, 0 = 4*g - 2*y - 38. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.6295 meters to millimeters.\nAnswer: 33629.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/10 - (-4 + -5 + 10). What is the closest to 0 in -0.35, v, 1?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f**3*m + f**3 + 2693344*f**2*m + 106279*f**2 + f*m - 2*f - 21 wrt m?\nAnswer: f**3 + 2693344*f**2 + f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70 + -68. Calculate the remainder when 229 is divided by 172\/8*f + (2 - -1).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 1 + 1\/2*f**2 + 5*f. What is j(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 38*d - 30 = -37*d, 0 = -2*l + 5*d + 35. Let v(u) be the second derivative of 0 - 1\/3*u**3 - 1\/6*u**4 + 2*u**2 - l*u. Factor v(w).\nAnswer: -2*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3361 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: What is the greatest common factor of 38 and 577106?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 246368*r.\nAnswer: -246368*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44177 is divided by 263.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*b = 0. Suppose b = 7*s - 3*s + 60. Let n = s - -26. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d187 (base 15) in base 3?\nAnswer: -21101120001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 0 - 1\/6*w**3 + 0*w**2 + 8*w. Let j(k) = 2*k - 1. Let y(u) = -u**2 - 7*u + 63. Let m be y(-12). Calculate m*g(d) + 2*j(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 779 and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 99 - 99.5. Put n, -4, 7 in descending order.\nAnswer: 7, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 0.5. Let g = 0.2 + l. Let x = -0.6 - g. Which is the smallest value? (a) 2\/7 (b) x (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 17659*r - 15742. Let w(a) = 28254*a - 25185. Let j(s) = 19*c(s) - 12*w(s). Differentiate j(k) wrt k.\nAnswer: -3527","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/469 and 2 + 24\/63 - (121 - 122).\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12792 + -12788. Solve -2*f - v = 0, 2*b + 97 - 95 = 2*f for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1185453*a**5 - 16*a**3 - 1720360*a**2 + a - 7 wrt a.\nAnswer: 71127180*a**2 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 302 + -301.9799. Round w to 3 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 - 354*z**2 - 3*z + 354.\nAnswer: 3*(z - 118)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*g + 2251 - 243 - 94 = 76*g for g.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1208 or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 150869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588576037.\nAnswer: 7, 84082291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -15*b - 5. Let a be j(-4). Suppose 29*q - 846 - 662 = 0. Let g = a - q. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*p + 4 - 29 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.93 + 13.83. Which is the nearest to -0.38? (a) -3 (b) u (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -162 - -158. Sort m, -23, -4\/3 in decreasing order.\nAnswer: -4\/3, m, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -1 + (1 - -7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 147 - 42 = 0. Is 21 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -10*w. Let y(l) be the third derivative of -13*l**7\/2520 - 3*l**4\/8 + l**2 - 34. Let n(x) be the second derivative of y(x). Give c(n(i)).\nAnswer: 130*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*a + 5*a. Let g(p) = 3 - 4*p + 4 - 2*p + 0*p + p**2. Calculate g(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1*-6)\/((-1)\/(-3)). Let k = q - -23. Suppose 44 = h - 2*j, -2*h - 3*h - k*j + 280 = 0. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*m - 22332 + 2796 = -290*m for m.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, t: 8, j: 1, x: 1, p: 1, w: 4}. Give prob of sequence sjx.\nAnswer: 1\/3360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-16)*14\/2*-4. Let t(o) be the second derivative of -o**4\/2 - o**3 - 5*o**2 - 2*o. Let x(z) = -2*z**2 - 2*z - 3. Give l*x(m) - 2*t(m).\nAnswer: -2*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 67093923 divided by 6079\nAnswer: 11037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 177412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x**2 + 6*x**2 - 160 + 159. Let k(v) be the third derivative of v**4\/24 + 71*v**2. Suppose 1 = 4*a + 5. What is a*w(b) - 2*k(b)?\nAnswer: -2*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 8:53 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0771 - 0.1476. Let t = h - -123.7705. What is t rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1857292, 3714590, 5571888, 7429186?\nAnswer: 9286484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3514176?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-2))\/((-1)\/((-40)\/15)). Solve s*g - 6 = 2*z, -4*z + z - g + 19 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 198*f**3*j**3 + 21*f**2*j**3 + 13*j**3 - 2*j**2 - 618*j wrt f?\nAnswer: 594*f**2*j**3 + 42*f*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5205 + 236211.85\nAnswer: 241416.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141261284.\nAnswer: 2, 953, 37057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kccocoockocko. Give prob of sequence cco.\nAnswer: 25\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 204, 149, 1, -76 in decreasing order.\nAnswer: 204, 149, 1, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 580116350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**2 - 7*y - 7. Let u(n) = 4*n - 2*n - 5*n**2 + 2 - 12*n**2 + 18*n**2. Suppose 0 = -m - 17 + 3. Give m*u(v) - 4*t(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31180 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g + 31. Calculate w(-33).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.37 + 5.17. Let l = s + -4.8098. What is l rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (258 + 3)*1683\/99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161836 is divided by 1571.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (224\/(-210))\/(3\/5)*3\/2.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 - (-7 - 234\/42)\/2. Solve p*l**2 + 4\/7*l + 2\/7 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -7*k - 32. Let p be c(-5). Solve -2*h + 3 = p*f + 13, -h - 15 = 4*f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23377736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 5*i**2 + 4. Let m be a(5). Suppose 4*n = u + 17, -n - m*u = -0*u. Let t = -3 + n. Let d(j) = 3*j. Let v(x) = -x. What is t*d(l) + 4*v(l)?\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000085046 to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1998 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - b - 3*b + 0 + b + 0 + (0 - 5 + 2)*(4*b - 7*b - 14*b))*(b**4 + 0*b**4 - 2*b**4).\nAnswer: -50*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -7. Let n be 3\/q*1\/6. Which is the third smallest value? (a) -2 (b) -1\/5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d + 6. Let p be q(-3). Let h = 3 - p. Let u be ((2 - 10) + 33)*(-22)\/(-55). Solve 5*f - u = -h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f + 8. Let o(q) = 4*q**2 + 7. Determine o(i(u)).\nAnswer: 36*u**2 - 192*u + 263","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -90*f - 1342. List the prime factors of z(-35).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 13*k + 3*r + 121 = 0, 0 = 2*k - r - 247. What is the derivative of -260*v - 252*v + k + 506*v + 2*v**2 wrt v?\nAnswer: 4*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 124\/(-66) + 1 - (-2322)\/6966. Let m be -2 + 3 + 7\/(-6). What is the biggest value in o, 2\/9, 5, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (8 - (0 + 7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 918 - 4*r + r**3 - 933 + 2*r + 3*r. Calculate t(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*k + 48*k + 40 = 0 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -g - 21, -4*g + 5*s - 10*s = -41 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1385057*n**3 + 2*n**2 + 42990.\nAnswer: -8310342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -30*((-3)\/2)\/3. Suppose 3*g + h = -0. Let i = g + 20. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 0*c + 290. Suppose -3*h + 246 = -15. What is the greatest common factor of c and h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 46.\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + n = 35*c - 17*c - 19*c + 43, 4*n - 193 = 3*c for n.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 17*c**2 - 3*c + 45. Let n be g(17). Let w be n\/(-60)*(-12)\/(-3). Factor -2\/5 - w*o**2 - 4\/5*o.\nAnswer: -2*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 699 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r**2 + 353*r + 764. Calculate c(-121).\nAnswer: 1974","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-3*1) - -11. Suppose -4*g + q = -3*g. Suppose -5*o = -v - 7*o + g, 5*o + 125 = 5*v. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 0*s + 0*s**2 + 0*s**4 + 5 - 14\/5*s**5 + 4\/3*s**3. What is the third derivative of h(q) wrt q?\nAnswer: -336*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of 0*v**3 + 26*v**2 + 13\/24*v**4 + 0*v + 0. Let z(o) = 3*o. Calculate g(z(m)).\nAnswer: 39*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1678?\nAnswer: 2, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 12269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 - 16825722*d**2 + 35388123515520*d - 35388106689800.\nAnswer: 2*(d - 4206430)**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 200094017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jxln when four letters picked without replacement from {j: 4, l: 2, x: 1, i: 7, n: 3}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-8262)\/270 + 27)*(-9)\/((-1215)\/(-50))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from vlljllvvlllggvl?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10856 - 10842. Let d(r) = r**3 - 13*r**2 - 17*r + 34. Determine d(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 t when four letters picked without replacement from {t: 4, w: 14}.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178973 is divided by 224.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -r**6\/24 - r**5\/2 + 95*r**4\/48 - 25*r**3\/12 + 68*r - 91. Let s(y) be the first derivative of n(y). Factor s(a).\nAnswer: -5*a*(a - 1)**2*(a + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 - 25 - g + 2*g + (4 - 4 - g)*(3 - 5 + 0) + 0*g - g + 0*g + 0 + 0 + g to the form q + p*g and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5372, -5400, -5478, -5630, -5880, -6252?\nAnswer: -6770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32\/(-14) - 4\/(-14). Let n be 1 - (p - -1) - -6. Let o = 36 + -17. Solve -2*m = 5*z + o, -4*z + n*z - 4*m + 32 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6595, 8346, 10097, 11848?\nAnswer: 13599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 10*n + 44. Let v(y) = 19*y + 75. What is 11*j(f) - 6*v(f)?\nAnswer: -4*f + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 7:26 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1587453 to the power of 1\/2, to the nearest integer?\nAnswer: 1260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*t - 5, 2*s - 6 = t + 2. Suppose -s*m = -597 - 688. What is m rounded to the nearest 10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (0 + 3) - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**6\/60 - b**4\/8 - b**3\/2 - 14*b**2. Let n(i) = -2*i**3 + 2*i + 2. Determine -2*k(x) - 3*n(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -827*y + 24838 + 1889 = -8007 for y.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 6*m = -404. Let k = m + -62. Is 27 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-140)\/231)\/(10 - (-128)\/(-720)*57). Factor 2\/11*q**2 - s*q + 48\/11.\nAnswer: 2*(q - 24)*(q - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-96)\/18)\/(-8))\/((-2)\/600). Let w = 195 + x. Which is the third smallest value? (a) 9 (b) 2\/5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2264458650 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11965 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -7*c**2 - 626*c - 4371. Determine i(-86).\nAnswer: -2307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3 = 39. Let s = b + -8. Suppose 3*u + 5*a - 17 = -6, 2*a = -5*u + 12. Solve -10 = u*v - s*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 10*c - 7. Let g be s(9). Let n be 27*(-2 + g + 1). Find the common denominator of 2\/((n\/111)\/3) and 143\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21771 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -22. Suppose 3*q - m*v = 0, 0*v = 3*q - 5*v + 9. Solve -3 = 3*n + 3*f, -n - 4*f - 14 = -q*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 c when two letters picked without replacement from {o: 1, e: 1, l: 1, c: 2, u: 2, h: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/5)\/((-105 - -117) + (4 - (-13205)\/(-825)))?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, -2737, -0.2, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 2*r**2 + 3. Let q be (10 + -9)\/((-1)\/(-2)). Let t be w(q). Suppose -t*d - 16 = -34. Do d and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3178196 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -836242 divided by -13.\nAnswer: 836242\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36024?\nAnswer: 2, 3, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 23*u**3 + u - 16 + 22*u**3 to k*u**3 + x + h*u**2 + s*u and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-30)*(-12)\/(-18).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9065.9 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5102000 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33.27 + 0.27. Let r = y + 36.2. Let x = r - 3.1862. Round x to three decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 348 + 3*v - 5*v - 45 - 688 - 1240.\nAnswer: -2*v - 1625","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 712, 698, 684, 670, 656?\nAnswer: 642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l = -l + 1000. Suppose 0*z = -2*z - l. Which is the second biggest value? (a) 3 (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhkkpkpkkkkhhpkkkk. Give prob of picking 1 p and 1 k.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**4 - q**3 - 2*q**2 + 1. Let v(a) = 246*a**4 + a**3 + 2*a**2 - 688. Let r(k) = -i(k) - v(k). Differentiate r(l) with respect to l.\nAnswer: -980*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z + 44. Let j(m) = 2*m - 43. Determine -5*j(h) - 6*v(h).\nAnswer: 2*h - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a + 1. Let t = 32 + -20. Let f = 9 - t. What is the units digit of i(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -175730*a**3*i**3 + a**3*i**2*n + a**3*i - 638*i**3*n + n wrt n?\nAnswer: a**3*i**2 - 638*i**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/3))**(-41)\/((b**(-13)*b)\/(b\/(b\/(((b\/b**7)\/b)\/b*b)))) assuming b is positive.\nAnswer: b**(179\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.560684675 to three dps.\nAnswer: 0.561","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1023750.\nAnswer: 2, 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 90460 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*j = -29*j + 16*j - 408902. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75 + -83. Let p be (9 - 795\/87)*(-2)\/g. Which is the closest to 1? (a) -0.4 (b) p (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5730307 (base 8) in base 9?\nAnswer: -2825662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1053*t + 1126*t - 804*t = -61404 for t.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -584*p - 16*p**2 + 4615 + 578*p - 4605. Suppose -5*z - 6 = -h, -5*h + 39 = -h - 5*z. Let a(f) = 3*f**2 + f - 2. What is h*a(n) + 2*j(n)?\nAnswer: n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2119)\/(((-7)\/(-21))\/((-1)\/3)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -23169 (c) 186\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18 - ((-16)\/(-7) - (-18)\/(-63)). Suppose 0 = 10*a - 11*a + z. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 120378.5 + -120379. Suppose -b + 1 + 3 = 0. Let v be (11\/5 - 2)*2. What is the nearest to v in 2\/39, b, i?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6*x - 4. Let n(j) = -7 + 37 - 6 - j - 23. What is 12*n(k) + 3*u(k)?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 50 (base 7) to base 5\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4.7 (b) -2\/93 (c) -3 (d) 0.04 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2391*h**2. Let m(v) = -2*v + 782. What is m(a(t))?\nAnswer: -4782*t**2 + 782","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2912 and ((-14)\/105*-5)\/(4 - (-95)\/(-24))?\nAnswer: 2912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + -2 - -5)*60\/24. Suppose 6*q - n = -9*q. Which is the third biggest value? (a) 2 (b) 54 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14867 is divided by 14837?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 95 - 93. Is 136110\/100 - m\/20 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29410*m*n*y - 2*m*y + 108309*m + n wrt y?\nAnswer: -29410*m*n - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + -30 - (1 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.09807771 times 34\nAnswer: 3.33464214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 134 - 76 = 2*j, 36*j + 48 = -6*u for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -751541 or -751161?\nAnswer: -751161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-832)\/(-2912)*((-8)\/24 - (-6)\/(-9)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 14 = -j, 4*j + 11 = -0*o + 3*o. Suppose -369 + 109 = -3*b - 4*t, -5*b - o*t = -425. Suppose d = -d + b. Does 20 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - 17.1. Let y = 0.9 - c. Let i = 2 - -3. What is the nearest to 0.1 in i, -0.4, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 16. Suppose 5*i = -4*v + 27, -3*v + g = 3*i - 6. Suppose 2*t + v*t = 105. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29805342 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1621 - -16223\/10. Calculate the common denominator of x and -6*4*(-3)\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*f - 267*f = 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u - 465. Let c(t) = -28*t**2 + 17. Calculate c(g(a)).\nAnswer: -448*a**2 - 104160*a - 6054283","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 422*z + 8. Let i be t(-4). What is the remainder when (-2)\/6*i\/20 is divided by (-1 - -10) + (-1)\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 20 = 0, 0 = -h + 3*v - 5. Put -4, 3\/5, 3, h in decreasing order.\nAnswer: h, 3, 3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7814 + 7814.1. Which is the closest to -4? (a) r (b) -1 (c) -2\/13 (d) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 8*h + 84. Give k(-7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102032 (base 4) to base 6.\nAnswer: 5222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.693 rounded to zero dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20575256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(84)\/(sqrt(21)\/(sqrt(18)\/sqrt(6))))\/(sqrt(6) + (sqrt(6) + sqrt(6)*2)*4 + sqrt(6) + sqrt(6) + sqrt(6) + (sqrt(300) + sqrt(12))\/sqrt(2))*-6.\nAnswer: -18*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 3*g + 1. Let v be c(3). Let t = 4 - 4.4. Let b = t + 0.4. What is the second biggest value in 3\/8, v, b?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -375781, -377460, -380257, -384172, -389205?\n\"Answer: -559*j**2 - 2*j - 375220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 3*t**2 + 4*t. Let v(o) = -o**3 - 4*o**2 + 5*o. What is -4*l(j) + 3*v(j)?\nAnswer: j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -670*x + 24. Let c(m) = -167*m + 6. Calculate 9*c(f) - 2*h(f).\nAnswer: -163*f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one twentieth of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than -22156425?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6699023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1632924 and -5.4?\nAnswer: 1632929.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -2, -67, 5 in increasing order.\nAnswer: -67, -2, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -99 + 85. Let g = 104.2 - 118. Let h = r - g. Are h and 2\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8 + 11 - (-71)\/(-23). Let h = 1 + -1.1. What is the closest to h in 1\/2, 1\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -p - 0*p + 2, -3*p + 6 = -4*m. Let x(s) = -5 + 6*s + 1 + 1 + 1. Let h(q) = -13*q + 5. Let y(i) = p*h(i) + 5*x(i). Let t(z) = z. What is y(t(b))?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -5*o + 26. Calculate the smallest common multiple of 8 - o\/((-13)\/(-218)) and 9.\nAnswer: 2034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*l**4 + 5*l**3 + l + 18*l**4 - 11*l**3 - 41*l**4 - 2*l**2 as m*l + j*l**2 + z*l**3 + f*l**4 + h and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37405148.\nAnswer: 2, 11, 19, 101, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 140342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, s: 2, x: 4, a: 1, m: 1, c: 1}. Give prob of sequence nxa.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 5. Let x(o) = o**2 + o - 5. Let i be x(-4). Let j be s(i). Sort -3, j, 1 in decreasing order.\nAnswer: 1, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 10. Suppose s*b + 406 = 6*b + 3*j, -2*b + 210 = 5*j. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*13026245.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*m - 15 = 0, -2*t + m + 3*m = -22. Let d = 48 + -34. What is the second derivative of 26*l + 7*l**3 + 3*l - 49*l + d*l**t wrt l?\nAnswer: 126*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -17*p**2 + 17. Let v(t) = t**3 + 2*t - 1. Let x be v(1). Suppose -x*f = f. Let y(w) = -2*w**2 + f + 6 - 4*w**2. Determine -11*y(a) + 4*z(a).\nAnswer: -2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-30)\/(-180))\/(3\/9)*0. Let i(t) be the third derivative of -t**2 + w*t - 7\/24*t**3 + 1\/12*t**4 + 0 - 1\/240*t**5. Solve i(j) = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 48 = 2*m, 5*m + 4949*g - 38 + 168 = 4944*g for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -18. Let n(l) be the first derivative of 3 + 1\/6*l**4 + 1\/6*l - 7\/18*l**z + 1\/6*l**2. Determine u, given that n(u) = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4*j - 621 = c, 0 = 4*c + j - 841. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 7:17 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z - 8*z - 13 + 43 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(3) + 1 + 3) + ((sqrt(192) - (0 + sqrt(192) + 2)) + sqrt(192))**2 + -2 + 2.\nAnswer: -38*sqrt(3) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13502 + -3893. Is l 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 786622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1565*k**3 - k**2 - k + 252 wrt k?\nAnswer: -9390*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231918 is divided by 70.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.03741 and -225551.\nAnswer: -225551.03741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-45)*45\/5\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1893794.7 months in centuries?\nAnswer: 1578.16225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2665 a factor of 204120345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 12*d**2 + 14*d + 11. Give p(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -457056*o**4 + 1631819*o wrt o.\nAnswer: -5484672*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 254*r**3 + 4*r**2 - 2*r + 4. Let p = 1 - -4. Suppose -c + 19 + 4 = 4*v, -p*v = c - 29. Let h be a(v). Round h to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16121 times -1.1?\nAnswer: -17733.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -918 (base 15) to base 16.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38894*w*z**3 + 4*w*z + 4932*w - 16*z**3 + z - 3 wrt z?\nAnswer: 233364*w*z - 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2485 and 945.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 6*q**2 - 5*q - 12. Let l be (-2 + 1)\/(-5 + 102\/21). Let z be o(l). Calculate the greatest common divisor of 3 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 552*a - 21. Let g(p) = 553*p - 18. What is 6*g(x) - 5*m(x)?\nAnswer: 558*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 378 divided by 6.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*sqrt(2299) + 3 + 1 + -5 + sqrt(2299)*-2 + -4 + 2)**2.\nAnswer: -66*sqrt(19) + 20692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 3*v**3\/2 - 9*v**2 + 27*v\/2 - 6 = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 450 + -459. Sort 4, x, 1, -3 in increasing order.\nAnswer: x, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 107 (base 10) to base 3.\nAnswer: 10222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22880 and 5720?\nAnswer: 22880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2767 divide 103078376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-4 - (-8 + (-1096)\/(-272)))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2 + b - 2. Let u(h) = 11*h**2 - 4*h + 9. Determine u(q) + 5*v(q).\nAnswer: q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13502678 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (0 - -5 - 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 13. Suppose -3 + 1 = -v. Suppose v*c - k = 3*c. What is the biggest value in -15, c, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.4 - -2. Let o = 2.9 - 3.1. Let z = o - 2.8. Which is the second biggest value? (a) x (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 - (-13 - -17 - -20 - 5)) + -44 + 0?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - 220. Let j = g + 53. Let i = j + 238. Is i a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + f**2 + 2. Let d(i) = -6*i**3 - 16*i**2 + 19*i - 13. Let t(y) = d(y) + 7*u(y). What is t(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + w**2 + 7*w - 11. Let c be y(2). Put -3, -18, 15, c in increasing order.\nAnswer: -18, -3, c, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 96 = -4*f + 290, -5*f + 479 = 2*s. Let q = 49 + -30. Calculate the greatest common factor of q and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 793085 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7190429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6727*l + 626980 = 4083*l for l.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 884*q - 570*q + 2938*q - 153*q as h + s*q and give s.\nAnswer: 3099","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**7\/x*x*x*x**3*x)\/((x**4\/x)\/(x*x*x\/(x\/(x\/x**(-1\/5)*x*x)))) assuming x is positive.\nAnswer: x**(71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 43040527?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*f**3*g - 20298*f**3 - 2*f**2*g - 134*f**2 + 3*f*g + 423 wrt f?\nAnswer: -204*g - 121788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 235 - 704\/3. Which is the biggest value? (a) 6.04 (b) 4\/5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 706 is divided by 232.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21013 - 2103?\nAnswer: -23122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -20212?\nAnswer: 20206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 42\/143 and (-136)\/(-117) - (-160)\/(-240)?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 3\/8, -5\/2 in decreasing order.\nAnswer: 3\/8, -2\/5, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -2*i + 152. Suppose -63 = 16*j - i*j. Suppose 17*x = j*x - 260. List the prime factors of x.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 5*f - 13 = 0, 3*g + 33 = f + 32 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 4 = 0, -5*h + 5*t + 0 = -5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, b: 6, p: 4}. Give prob of picking 4 b.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 8747199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*v - 6*t + 2*t, -5*v + 5*t = -15. Suppose v = -s + 4*h + 23, 4*s - 2*h = 2*s + 40. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173, -208, -253, -314, -397, -508, -653?\nAnswer: -838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13944631?\nAnswer: 13944631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(-12))*q)\/(q**(-9)\/q)*(q*q**(2\/11)*q*q)**(-6\/13) assuming q is positive.\nAnswer: q**(-353\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33784 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a century in months?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4 = -u - 2, 0 = 4*u + 5*o + 3. Let i be (-4)\/u - (4 - 4). Let v(g) = 4*g**2 - 6*g**i + 13*g - 13*g. Let m(f) = f. What is v(m(y))?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.827003302 - 1.827. What is p rounded to seven decimal places?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130 (base 10) to base 3\nAnswer: 11211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - -4. Solve 27 = 3*t + o for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4127 (base 8) to base 10\nAnswer: -2135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -9.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 20 + 26 = 0. Solve 3 = -m + x, 7*x - 3 = 2*m + i*x for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 + -1 + 44*21\/(-24) and (-2)\/6 - 106\/(-48).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0103914 rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7572.381m?\nAnswer: 7572381000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 4*a = -16, -2*g - 999 + 1047 = 5*a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.3 + 43.18. Let u = d - 33. Let a = u - -0.13. Round a to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196271 is divided by 116.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 8 = -4*g, 3*m - 7 = -9*g + 10*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*h + 26 = 6*g, 4*g - 3*h - 21 = 0. Suppose 0 = -g*y + 16*y - 340. Calculate the remainder when 129 is divided by y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 1) + 1 + -1 + 6. Let d be (1 - (-267)\/(-6))*(-2)\/w. What is the third smallest value in -1\/3, d, 2\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20535 divided by 3.\nAnswer: -6845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**26\/o)\/(o*o*o**(-25\/3)*o*o))\/(o**12*o\/(o\/(o**(15\/2)\/o))*o*o) assuming o is positive.\nAnswer: o**(53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2. Let x(m) = 9*m**2 - m + 1. Let b = -1316 - -1327. Calculate b*q(p) + 2*x(p).\nAnswer: -4*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 29, 50, 71, 92, 113?\n\"Answer: 21*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - -42) + -6 - 21?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 20. Suppose 12 = r*j + 2*m + m, 0 = 2*m - 4. Which is smaller: 4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*z = 20*z + 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132100 (base 4) to base 15.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -3*b + 16, 2*h + 8*b = 7*b + 7 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -834372 divided by 3?\nAnswer: -278124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10752 and 404782.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25 - 7153704.\nAnswer: -7153679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0113283 rounded to 4 dps?\nAnswer: 0.0113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 3*v - 0*v + 5, 0 = -5*q + 4*v + 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 683162 and 849?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -79, 4 in decreasing order.\nAnswer: 4, 3, -3, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**3\/9 - 1354*n**2\/3 + 16274*n\/9 - 4070\/3 = 0. Calculate n.\nAnswer: -2035, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - q + 10. Let g be o(0). Let l = 15 - g. Does 12 divide 2 - l\/((-15)\/84)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**6\/180 - 23*k**5\/90 - 8*k**4\/9 + 256*k**3 - 720*k**2. Suppose q(y) = 0. Calculate y.\nAnswer: -9, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -65b - b008?\nAnswer: -b664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h**2 + 83882*h - 1089783. Calculate u(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1063 + 1148 - (-9 - 4)\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7368*r**4 + 12182?\nAnswer: 29472*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3211*w*z**3 + w*z + 5*z**3 + 7*z**2 + 39 wrt w.\nAnswer: 3211*z**3 + z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -191*b**3 - b*c**3 - 2*c**3 - 273 wrt b.\nAnswer: -573*b**2 - c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4902 + -122)*11875\/(-4). What is z rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -18, -28, -42, -60?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - -3 - (-5 - -3). What is the derivative of -23 + 4 + d - 21*z**4 wrt z?\nAnswer: -84*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-72)\/315 + 1\/(-5). Sort -2\/5, c, 6.\nAnswer: c, -2\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3803024.5 and -3.\nAnswer: -11409073.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 less than -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 12:41 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -11822576*f - 3. Let q(r) = 3*r. Calculate j(q(s)).\nAnswer: -35467728*s - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10201188 rounded to the nearest 10000?\nAnswer: 10200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -91*r + 3110. Let p be n(34). Let h(q) be the second derivative of 22*q + 0 + 0*q**3 - p*q**2 - 1\/3*q**4. Differentiate h(g) with respect to g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (2 - 6) - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**6\/160 + u**5\/40 - 7*u**4\/32 + u**3\/2 + 4*u**2 - 3. Find q, given that t(q) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -6*114\/4*172*(-2)\/6?\nAnswer: 2, 3, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/9)\/(w**(-9)*w*w*w*w)*(w\/w**0)**(38\/3)*(w*w*w\/(w**(-2\/9)*w)*w**(2\/15)\/w)**(-11) assuming w is positive.\nAnswer: w**(134\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 11?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/5))**(-9\/2)\/((o**0*o)\/(o*o*(o\/(o**8*o))\/o*o))*((o*((o\/(o**(2\/3)\/o))\/o*o)\/o)**5)**(-1\/10) assuming o is positive.\nAnswer: o**(-142\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/3*465\/1240*10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 6 = -2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 20999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*z + 2*z**3 - 30*z + 4*z**3)*(0 - 1 + 3).\nAnswer: 12*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 1. Let q be o(1). Suppose q = -m - m + 996. Let f = m - 339. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -30 and -12.\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**4\/9 + 82*l**3\/9 - 266*l**2\/3 - 98*l = 0?\nAnswer: -1, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.45 - -0.05. Let d be (-6137)\/(-51) - (-12)\/27*-3. Let j be 68\/d + (-52)\/(-7). Which is the closest to j? (a) v (b) 0.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 107313 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.04 - -9. Let t = d + -0.06. Which is the second biggest value? (a) -4 (b) t (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000987510997 rounded to 5 decimal places?\nAnswer: 0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 7*t - 2 + 1 + 2 - 5. Let m be q(4). Suppose 5*h - c - 30 = 0, 0 = 10*h - 5*h - 5*c - 50. Sort m, 3, h in decreasing order.\nAnswer: m, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/21)\/(((-9)\/189)\/((-2)\/4)). Solve w + 10 = -5*u + 2*w, 4*u = y*w + 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/5 - 3351*l**3\/5 - 3354*l**2\/5 + 6704*l\/5.\nAnswer: l*(l - 3352)*(l - 1)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -276222 divided by -6\nAnswer: 46037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -7 (c) 2 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5.2 and -0.026?\nAnswer: 5.174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/2)\/(2\/(-24)). Let b be ((-27)\/72 + (-171)\/(-24))*(-88)\/(-3). What is the greatest common factor of l and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2319 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**2 + 193 - 193 + 6*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13917 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -605 - -1064. What are the prime factors of z?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 2326 - 310. Let c be (1200000\/(-9))\/(l\/(-330) + -4). What is c rounded to the nearest one million?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 divided by -4?\nAnswer: -61\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -10*b**2 + 1059*b - 1171. Give j(104).\nAnswer: 805","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 6*b**2 - 4. Let w = -97 + 100. Let d = 215 - 217. Let x(q) = 5*q**2 - 3. Calculate d*k(r) + w*x(r).\nAnswer: 3*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -139 + 266. Let g = c - 7. What is the highest common divisor of g and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 677903, 677923, 677943, 677963, 677983, 678003?\n\"Answer: 20*s + 677883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -o - 3, -h - 2*h - 5*o = 13. Let j = h - -3. Solve 0 = j*b, -r - 6 = r + b for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 12. Suppose 7*v = l*v + 4. Suppose -4*y + v = -103. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9792 (base 12) to base 6.\nAnswer: 205102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*r + 8*r - 55*r)*(-3 + 4 - 4) in the form x*r + n and give x.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110545 - 98894 = 191*s for s.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 212 = -3*s + 313, 835 = 5*s - 5*a. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-5))\/((-22)\/165). Solve -2*o + a*o + 20 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 705*k = 704*k - 28*w + 37, 5*k - w = -97 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -5*m - 20, -m - 2*o - 4 = -4*o. Let p(t) = -t**3 - 6*t**2 - 9*t - 3. Give p(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -4 - -5) + -5 + 6 + 6\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmpm when four letters picked without replacement from {q: 7, m: 3, x: 5, p: 2, f: 1}?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by (3 + -44)*(-1 - 0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 458 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -9 and -12 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 10:49 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-2)*6\/576*-20?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 24 = -2*z + 2, -z + 5*d + 23 = 0. Suppose -1 = z*a - 49. What is the greatest common factor of a and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u - 8. Let q be z(8). Let g be (-8)\/(-2) + (-2 - q). Solve g*d = -d + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knkkkkkkkn. Give prob of sequence kkk.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from veppeppps. What is prob of picking 1 e and 1 p?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -287*z + 19*z + 199 + 641 - 4*z**2 = 0.\nAnswer: -70, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 9 = 2*x - r, -x - 5*r - 19 = 0. What is the remainder when x is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 266 - 1487. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -6*g**3 + 2*g**2 - 3*g - 1. Let m(c) = 7*c**3 - 2*c**2 + 4*c + 1. Give 5*m(p) + 6*n(p).\nAnswer: -p**3 + 2*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/6)\/(6\/(-252)). Let i = 19 - r. Let b(a) = a**3 - 4*a**2 - 6*a + 3. Give b(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26839403.\nAnswer: 26839403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + u + 10, -4*k - 2*u - 15 = -1. Let x(w) = -w**3 - 1. Let q be x(k). Solve q = j + n + 3, -j - 4*n = -2*j - 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 246751 (base 8) to base 3\nAnswer: 11100020222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3502233 divided by 152271?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5*(sqrt(119)\/sqrt(7) - sqrt(17) - sqrt(17)))**2 + sqrt(85)\/(6*-4*sqrt(5)) + -5.\nAnswer: -sqrt(17)\/24 + 418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 428 = 364. Let z = i - -165. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -714, -543, -382, -237, -114, -19, 42?\n\"Answer: -u**3 + u**2 + 175*u - 889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 11\/12*l**5 + 1\/60*l**6 + 0 + 1\/6*l**3 + 42*l + 35\/24*l**4 + 2*l**2. Find the second derivative of q(a) wrt a.\nAnswer: 12*a + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26.4385572*-0.4\nAnswer: 10.57542288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1217460 and 1648.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6334.4 - -6929. Let n = g - 595. Let v be -23*1\/1*-1. Which is the biggest value? (a) v (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -64 - 1278?\nAnswer: -1353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 454859\/39564 + -27\/1099. Let g = a - 45\/4. Are 0 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68291 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 246232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 472 and 12862?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9, 13, 17?\n\"Answer: 4*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**4 + 6*j**4 + 18*j**4 + (-2 + 3 + 0)*(j**4 + 0*j**4 - 3*j**4) + 2*j**4 - 4*j**4 + 5*j**4.\nAnswer: 21*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -305850.267 and 3610074.\nAnswer: 3304223.733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + (5026 - 4)\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**4 + 2*p**4 + 3*p**4 + (p + 0*p - 3*p)*(p**3 + 3*p**3 + p**3) + (-130*p**2 + 92*p**2 - 188*p**2)*(4 + p**2 - 4) - 1 + 3*p**4 + 1.\nAnswer: -231*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -10, -1, -27 in decreasing order.\nAnswer: 10, -1, -10, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9.04 * -0.9\nAnswer: 8.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*v**(-2\/5))\/v)*v)**(-29)*v**(-1\/4)*v**(-3\/7)*(v\/(v\/(v*v**(-1\/3)*v*v*v))*v)**(-1\/13)*(v**(-1\/4))**(14\/9) assuming v is positive.\nAnswer: v**(-1163413\/16380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1555296 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 29*q + 3. Let l be j(4). Suppose 182 = 3*b + 2*x, -2*b + 2*x - x = -l. Suppose 189 = 4*f + 3*r, -30*r = 8*f - 31*r - 497. Does f = b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u. Let y(b) = 9*b**2 + 2. Let v(i) = -19*i**2 - 5. Let c(l) = 2*v(l) + 5*y(l). Give c(h(f)).\nAnswer: 112*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 151980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**2 + 1528*v - 8074. Determine u(504).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**3 + 74*w**2 - 2*w**3 + 2 - 17*w**4 - 223*w**2 + 76*w**2 + 71*w**2 to p*w**2 + k*w + d*w**3 + n*w**4 + x and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -137 at most -1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*n + 86 - 123, 5*a + 3*n + 5 = 0. Is a equal to -92\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -122956, -4, -1, 4 in ascending order.\nAnswer: -122956, -6, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**7\/1260 - d**6\/240 - d**4\/3 - 8*d**2. Let y(k) be the second derivative of r(k). Find the second derivative of y(g) wrt g.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20*6\/(-840))\/((-2)\/6).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -10203203032?\nAnswer: -10203203031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 604357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*1393.\nAnswer: 8358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 13 = 3. Is ((-580)\/x)\/(1\/(-2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 841886.2 years in centuries?\nAnswer: 8418.862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*d**3*k**2 - 1916*d**3*k + 6*d**3 - 3*d**2*k**2 - 37*d**2*k - 389*d*k**2 wrt d?\nAnswer: 18*k**2 - 11496*k + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -201?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x - 23. Let i(o) = 16*o**2 + 21. Calculate i(p(a)).\nAnswer: 144*a**2 - 2208*a + 8485","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 199680 and 169104.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323*o - 310*o - 65 = 0. Let w be 5\/(-10) + 62\/(-4). Let t be w\/(-12)*(-9)\/(-6). Solve -t*v + o = 3*u, -3 = 2*v - u + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 540, 419, 298, 177?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/20 and 81\/1096612?\nAnswer: 5483060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*l - 322 = 494. Suppose -486 = -33*t + l*t. What is the remainder when 267 is divided by t?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -13 + 33*t**2 - 16*t**2 - 15*t**2. Let l(j) = j**2. Give l(n(o)).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*i = -31, 30 = 2*r - 0*i + i. Suppose 0 = 2*w - 5*b - 24, -3*b - 1 = w + b. Let n = 14 - w. Calculate the remainder when r is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12649, -19545, -26443, -33343, -40245, -47149, -54055?\nAnswer: -60963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 k, and 2 p when four letters picked without replacement from {p: 2, k: 2, l: 1, z: 1, v: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 874 + -1240. Let f = 366 + h. Put f, 1, -44 in decreasing order.\nAnswer: 1, f, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 not equal to -28\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 967515, 1935012, 2902509, 3870006, 4837503, 5805000?\nAnswer: 6772497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.259611 milliseconds in minutes?\nAnswer: 0.00025432685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1867191?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 2*u = -0*u - 5, -4*b = -2*u + 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9\/(-21) + 6418\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 - 2*o**2 - o**2)*(9*o**2 - 1258 + 653 - 11*o**2 + 512 - 11*o**2).\nAnswer: 78*o**4 + 558*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -115*z + 71*z - 26*z + 238*z + 197*z to g + n*z and give n.\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 7. Let w(z) = -z - 2. Let s be w(t). Let o = -7.7 + 8. What is the third biggest value in -2, o, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 + 36*a + 36. What is the units digit of v(-46)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -18*c**2 - 2. Let b(v) = -v + 118233. Calculate b(w(k)).\nAnswer: 18*k**2 + 118235","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 4a499?\nAnswer: -4a49a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 11*m + 5. Let t(x) = 39*x + 18. Let q(l) be the first derivative of -l**2\/2 + l - 3. Let o be q(-4). Calculate o*t(b) - 18*z(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -17*c**3 + 6*c**2 - 4*c - 5. Does 13 divide a(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vy when two letters picked without replacement from cqqqycvtsscc?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 5*r**2 - 11*r - 14. What is the lowest common multiple of y(-6) and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1486 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y = -11*y - 12. What is the third derivative of -12*l**2 + 975 - 975 + y*l**6 wrt l?\nAnswer: 1440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4967 is divided by 48.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, s: 2, a: 3, o: 2}. Give prob of picking 2 a.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 plus -1.3?\nAnswer: 352.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3311*w + 449 = 2959*w - 255 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 33*r - 209 = 0. Let s = 18 - r. Solve 3*f + 3 = 0, 3*g - s = 2*f + 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 270 and 990?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 179 - 150. Let h = 185 - 156. Calculate the greatest common divisor of l and h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 496.8.\nAnswer: 499.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-115)\/15 + (-2)\/(-3). Let f = i - -14. Let j(v) = v**3 - 7*v**2 + v - 7. Calculate j(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8624 and 704?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*y + 2*q - 274, 366 = 4*y + 5*q. Find the third derivative of -z**2 - 2*z**5 + y*z**2 + 0*z**3 - 10*z**2 - 4*z**3 wrt z.\nAnswer: -120*z**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99675321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1238744 <= -1238785?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165)*1)\/sqrt(3) + 1*sqrt(2695) + sqrt(2695))\/((3*sqrt(605) + sqrt(605))*3)*4.\nAnswer: 5*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4745 + -151819\/32. Calculate the common denominator of -131\/36 and p.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 2*l + 18. Suppose 20 = 4*b - 4*u, -15 - 8 = -5*b + 3*u. What is p(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + sqrt(5) + -1) + sqrt(10)\/(-2*sqrt(288)))**2.\nAnswer: 71*sqrt(5)\/4 + 30389\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y = -73 - 15 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118578863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*i**3 - 628 + 23*i**3 + 628 - 2*i**2.\nAnswer: 34*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**6\/2 + 6*x**5\/5 - 21*x**4\/2 + 8*x**3 + 39*x**2\/2 - 30*x + 316. Solve b(j) = 0.\nAnswer: -5, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -98878415, -98878414, -98878413, -98878412, -98878411?\n\"Answer: n - 98878416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/6 - -1 - (-3)\/7. What is the fourth smallest value in z, 4, 0.1, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 212 - 139. Let m = o + -12. Suppose 0*p = -2*v - 5*p + 45, 3*v + p = m. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 5 = 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -y - 4*m + 516, 0 = 2*y - m - 1036. What are the prime factors of y?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 77 = -3*k, -5*k + 71 + 55 = -4*t. What is the lowest common multiple of 16 and k?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 37639232102 less than 5?\nAnswer: -37639232097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 4 = 14 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 353140 to the nearest one thousand.\nAnswer: 353000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 20 = 0, -134*z + 136*z = -0*f + 4*f - 74 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -569\/4 (b) -0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4545.6 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*a + 3*a + 2*a)*(426 - 426 + 6936*a - 20294*a) to the form k*a**2 + m*a + w and give k.\nAnswer: 26716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2246 is divided by ((-15)\/(-2))\/3*(-16)\/(-12)*9.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 2:08 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6086702333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) 0.3 (c) -2\/13 (d) -2\/11 (e) 1692 (f) -1 (g) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, c: 1, u: 1, s: 2, o: 1, l: 2}. Give prob of sequence ul.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwvbqevsw. What is prob of picking 1 b, 1 v, and 1 w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1587682?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 9*f - 14. Let g be l(-6). Solve 3*m - 4*s = -6, -g*m + 2*s = 1 - 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 22 = 5*o - 5*l, -4*l + 12 = 4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, w: 5, r: 8}. Give prob of picking 1 r and 1 n.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/3)\/((-2)\/(-66)). Suppose 5*d - 5*o = 84 + 1, 2*d + 2*o - x = 0. What is the remainder when 26 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.35 (b) -0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440543 is divided by 334?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 908682 + -909174.217. Let g = x - -492. Let p = g + 0.334. What is p rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 293*a. Let b(h) = 15386*h**2. What is b(y(t))?\nAnswer: 1320872714*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -150810895 and -150810896 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - 0.7. Let s = 49.8035 - 46.8035. Which is the nearest to 0.3? (a) s (b) o (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*d + 3. Let i be 3 - (-2)\/(4\/d). Does 4 divide i\/(-9) - (-148)\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 4 (b) 24\/23 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 79\/2 of a century?\nAnswer: 47400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 greater than or equal to 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/51)\/z**(-3\/4) assuming z is positive.\nAnswer: z**(161\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11346 + 11554. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**5\/5 - 28*v**4\/5 + 1627*v**3\/5 - 8318*v**2\/5 - 103932*v\/5 - 18792 = 0. Calculate v.\nAnswer: -58, -5, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*i + 70 = 592. Suppose 51*l - i = 48*l. Let d(w) = -2*w + 3. Calculate d(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75297238 to the nearest integer?\nAnswer: 8677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54168932 and 1124.\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a minute in milliseconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 - -0.3. Let m = 0.2 - -0.3. Let o be 1\/10*(-105)\/14. Which is the closest to n? (a) m (b) o (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v - 2*v - v + 32*v.\nAnswer: 19*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -4 - (6 - (10 + -7))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*w - 18. Suppose b = 2*m + 2*m + 16, 0 = -2*b - w*m - 33. Let f(x) = -x + 1. Calculate f(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2 = 5*g - 5, -5*f - 2*g = -15. Let w = -25 + 25. Let n = 0.953 + 0.047. What is the smallest value in f, 2, n, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 1. Let k be q(-3). Suppose -3*v = d + 5, 0 = k*v - 0*d - 2*d. Let h(c) = 5*c. Let l be h(v). Sort 1, l, 5 in decreasing order.\nAnswer: 5, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c + 0*c - 3*c. Let k(m) = -17*m. Give i(k(n)).\nAnswer: 34*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10820787.\nAnswer: 3, 23, 156823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 11:33 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnnbixnxxnxbb. What is prob of picking 1 i, 1 b, and 1 x?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4371, 35245, 119039, 282207, 551203, 952481, 1512495, 2257699?\nAnswer: 3214547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1)*n**(-1\/6))\/(n\/(n*n**(-2\/5)))**(1\/30) assuming n is positive.\nAnswer: n**(-9\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.326 - -0.24. Let l = x + -1.994. Let m = l + 1.08. Which is the second biggest value? (a) 4 (b) m (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5*y**3 - 6*y**2 + 11*y. Let u(x) = 10*x**3 + 13*x**2 - 23*x. Let h(g) = 13*m(g) + 6*u(g). Suppose h(p) = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160296916 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 15 = -0. Let g(u) = -12*u + 50. Let c(w) = -3*w + 12. Let n(t) = -18*c(t) + 4*g(t). Let y be n(h). Solve 5*b + 25 = 0, -5*b - y = -2*k + 1 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*u - 6*u + 3*u + 4*u to the form g*u + w and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -208*i - 13. Let u be f(1). Let n = 223 + u. Solve -7 + 1 = n*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 325 = 3*q, q - 5*z - 99 = -4. Calculate the remainder when q is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 26415, 25072, 23729, 22386?\n\"Answer: -1343*o + 27758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.7902, 0, -4\/7, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -6*v**2 - 4*v. Suppose -2 - 4 = 3*t. Let k(j) = 5*j**2 + 3*j. Let d(a) = t*p(a) - 3*k(a). Factor d(b).\nAnswer: -b*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 6:59 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8258 - -16097. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 8:28 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 24*c**2 + 93*c - 3069. Determine p(22).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 2683*i**4\/6 - 2753*i**2\/2 + i + 1667. Find the first derivative of z(k) wrt k.\nAnswer: 10732*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 10845056.\nAnswer: -4, -1, 10845056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h - 5. Let r be f(-10). Let m be (-33)\/(-891)*-18 - 2\/(-1). Put -0.5, m, r in increasing order.\nAnswer: -0.5, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - c = -1, o + 14 = -2*c + 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 249 - 115. Let d = r - 134.0063. Round d to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62104343 and 2303.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 388450376 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 517*m**6\/15 + 7*m**4\/2 - 2*m**2 - 4*m + 41. Find the third derivative of x(z) wrt z.\nAnswer: 24816*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*j*t**3*v + 204*j*t**2*v**2 - 163*t**3*v + 16*t*v**2 wrt j?\nAnswer: 4*t**3*v + 204*t**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5060, -5061, -5062, -5063, -5064?\nAnswer: -5065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7 - (-1864)\/(-40))\/((-2)\/5). Suppose -95*b = -i*b + 92. What is the remainder when b is divided by (3 - 2)*(1 - -11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24582000 to the nearest 100000.\nAnswer: -24600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 68\/24 + 2\/12. Suppose 4*z = -i*n + 2*n + 12, -39 = -n + 5*z. Let c = -7733 - -7769. What is the highest common factor of n and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -38*s**3\/3 - 2*s - 2. Let g(j) = j**2. Give g(f(p)).\nAnswer: 5776*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1\/11)*i**(-9))\/(i**(2\/9)\/(i*i*((i*i**(-2\/21)\/i*i)\/i*i)\/i*i*i*i)) assuming i is positive.\nAnswer: i**(-2236\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/17, 0, -4, 1\/6, 0.135?\nAnswer: 0.135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 0*r + r)*(793*r + 30*r**3 - 793*r + (0 + 0 - r**2)*(14*r - 18*r + 6*r)).\nAnswer: -56*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2991 a factor of 206479575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 2, x: 1, m: 1, e: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-952)\/357*(-15)\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bo when two letters picked without replacement from obbooooobobb.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/12*(16\/(-40))\/((-12)\/90).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/198*(38 + 19224\/(-540)). Determine v, given that -s*v**2 + 32\/11 - 30\/11*v = 0.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43898887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 926 and 10905502.\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 - 780488*i - 38072594884.\nAnswer: -4*(i + 97561)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2 = 2*d, -9 + 3 = -d - 5*z. Put -5, 5, 2, -0.5, d in decreasing order.\nAnswer: 5, 2, d, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (81\/108)\/(1\/4). Let t be 2\/(0 - -2) + -2. Let y be (-2)\/(2\/(-2)*t). Sort y, a, 5.\nAnswer: y, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61307\/7 - 8758. Let x = -1.7 - -1.6. Which is the nearest to -0.1? (a) x (b) -2 (c) 1 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 12:28 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -9 + 22 + -29 + 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -9 - (-8 + (-16080)\/5). Does m = 3217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26156*f**3*i - 14941*f**2*i wrt f?\nAnswer: 156936*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15270153 is divided by 70?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32332968 and 0.5.\nAnswer: 16166484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -s**3\/3 + 6*s**2 - 7*s - 1. Let q = -23 - -33. What is the remainder when 50 is divided by b(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 16*n + 20*n - 36, -5*n = -t - 34. List the prime factors of (4 + -3)\/((-2)\/t).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/3200 and -133\/3400.\nAnswer: 54400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.16 + 0.16. What is the closest to 0.1 in s, -3, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/(-7) + 44\/77. Which is greater: j or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of l**2\/2 - l - 2. Suppose -3*j = -628*w + 633*w - 28, -4*j = -3*w - 18. Determine x(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.36 - -3.86. Let t = w + -3.9. Let n = 82 + -82.2. What is the second biggest value in n, t, -1\/3, 2\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 + 2813*m. Let y(f) = 418*f. Give y(t(s)).\nAnswer: 836*s**2 + 1175834*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j - 15. Let b be u(9). Sort 4, -11, b in ascending order.\nAnswer: -11, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1490, -1490, -1486, -1478, -1466?\n\"Answer: 2*c**2 - 6*c - 1486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -55, -26, 3, 32, 61, 90?\n\"Answer: 29*h - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -l**5\/20 - l**4\/12 + 15*l**2 + 2*l. Is 15 a factor of d(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 250? (a) 21 (b) -86 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.7327448 rounded to 2 dps?\nAnswer: 26.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1075050.\nAnswer: 2, 3, 5, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2 = -2. Let h = 10 - 10. Solve -5*z + a*z = h for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234639 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 525033 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 9518*m**3 - 7*m**2 - 7*m + 21. Let p(d) = 3173*d**3 - 2*d**2 - 2*d + 6. Calculate -7*p(h) + 2*x(h).\nAnswer: -3175*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 692 or 711?\nAnswer: 692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 728.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*o = 124 + 250. Solve -4*p + o = v, -3*p + 6*p + 8 = -4*v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20546.\nAnswer: 2, 10273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p + p - p**3 + 6 - 2 + 5*p**2. What is the tens digit of j(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.046068199 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-21)\/2*(-8)\/6 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 + 1469098*o + 1469100.\nAnswer: -2*(o - 734550)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 850*v + 5*c = 854*v + 5, 0 = 4*v - 2*c + 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/10 - 13*t**2\/10 - 17*t\/5 + 24\/5.\nAnswer: -(t - 1)*(t + 6)*(t + 8)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2029310 a multiple of 1060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80334 - 80332.25847. Let b = o - -0.21137. Let z = b + -1.94. Round z to 3 dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-31)\/m)\/(m**(6\/25)*m))\/(m**(-18)\/m**5) assuming m is positive.\nAnswer: m**(-231\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/1050 and 29\/275?\nAnswer: 11550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -4 (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -110333*g**2 - 373*g - 1711*g + 109641*g**2 wrt g.\nAnswer: -1384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t - 2. Let p be f(-2). Find the third derivative of -6*g**2 + 4 - 5*g - p + 0 - 6*g**5 + g**4 wrt g.\nAnswer: -360*g**2 + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence faja when four letters picked without replacement from arrgfrgafrgrafffjaaf?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*k**4 + 3*k**4 + 2*k**4)*(-2 + 0 + 4) - 2*k**4 + 4 - 4.\nAnswer: -6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*z**3 + 32*z**3 + 1153*z**2 - 1153*z**2.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (100\/(-840))\/((400\/72)\/10).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/((sqrt(8) - sqrt(8)*-2)\/sqrt(4)).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2144 is divided by 427?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2 - u + 3*u - 2*u**2 - u. Let n be f(-6). Let r = n - -136. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -0*m - 4*m. Suppose 1 = 2*j - f, 0 = -3*f - 11 + 2. What is the units digit of (9\/(m\/(-80)))\/j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 839 and -723134555.098?\nAnswer: 723135394.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1150*o - 3233*o + 138230 - 19499 = 0 for o.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -1860 (c) -3 (d) -5 (e) -1\/6 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 1:42 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103 - -139. 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: What is the square root of 119429 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11cb6 (base 13) to base 6.\nAnswer: -412251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 74 = -59 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/6 + 1 + -3. List the prime factors of (-311)\/y + 12\/72.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -26, 457, -5, 47, 2 in descending order.\nAnswer: 457, 47, 2, -4, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 - 42\/9)*181188\/112. Calculate the highest common factor of 6 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -796*h - 220449. Calculate p(-277).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - 5 - (-45)\/5. Solve -3*f = -x + 1, f + p = -2*x - 0*f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -44*n**2 + n. Let l(a) = a**2 - 3*a + 4. Let c be l(2). Let h(s) = c*s - 4*s + 4*s. Determine v(h(r)).\nAnswer: -176*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 528 and 480.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0. Let l = 275\/6 - 46. Let h = -0.02 - -0.12. Which is the closest to r? (a) 1\/3 (b) h (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 859*t + 52 - 2*t**3 - 54 + 6524*t**2 - 6527*t**2 to f*t + j*t**3 + o*t**2 + h and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13521*w - 11617 wrt w.\nAnswer: -13521","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 267563 divided by -71\nAnswer: -267563\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 211 + 15?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21\/8731, -5, 262.\nAnswer: -5, 21\/8731, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 7505806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24373?\nAnswer: 24373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + 1. Let z be v(-4). Let t(x) = -x**3 - 2*x**2 + x - 2. Let q be t(z). Let h be 1 - (q - 2 - 3). Which is greater: 2\/3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96956567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35.394 - 35.8. Let t = -40 - -40.45. Let k = h + t. Round k to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/792 and -34\/495.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-36)\/(-24))\/(4\/((-48)\/189)). Which is the second biggest value? (a) 1\/6 (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -3. Let l be 3\/z*(-72)\/(-81). Which is the nearest to -0.1? (a) 2\/3 (b) 0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**7\/42 - 7*j**3\/3 - 11*j. What is the second derivative of m(a) wrt a?\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 103864 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2055 divided by 30\nAnswer: 137\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.0399 less than 5?\nAnswer: 7.0399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 8*s + 42 = 0. Let g = -70 - -25. Let z = s - g. Solve -z*h + 2*b + 8 = 0, -2*h - 5*b = -0*b - 18 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -81622*v - 65492?\nAnswer: -81622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69801\/436 + -641\/4. Is l <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 10:35 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 20. What is the biggest value in j, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35154954 is divided by 80?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -994 - -1048. Sort 15, 1, t in ascending order.\nAnswer: 1, 15, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 79.54 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129*41\/(-12341)*(-112)\/(-9).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68582 is divided by 7490.\nAnswer: 1172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -6 (b) 4\/7 (c) 5 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.22752 grams to micrograms.\nAnswer: 37227520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 2 = 276*p - 542*p + 271*p, -7*o = 4*p + 17 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 6. Let v be k\/(-14) - (0 - (-1975)\/35). Let q be (-8)\/14 + v\/(-98). Put 7, -3, q in decreasing order.\nAnswer: 7, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.5 from 805.\nAnswer: 803.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7403967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.262 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 6:10 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4884 by 2.\nAnswer: -2442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 164 or 254185\/1543?\nAnswer: 254185\/1543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15646*o + 15646*o + 274*o**2)*(-2*o - 3*o + 2*o) in the form z*o**3 + h*o**2 + k + b*o and give z.\nAnswer: -822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-282)\/(-22) + -3 - (-6)\/33. Suppose -m*n = 35 - 135. Suppose -2723 = -n*x + 9*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95, 71, -73, -337, -721, -1225?\nAnswer: -1849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3309 is divided by 328?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29439*m**5\/5 + 13218109*m**4\/5 - 13395643*m**3\/5 - 66325157*m**2\/5 - 39738144*m\/5 + 540 = 0.\nAnswer: -450, -1, 2\/29439, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 7*g**3 + 11*g - 11. Let f(d) = d - 1. Let p be 8 - ((-34)\/(-187) - 760\/(-55)). Give p*n(i) + 66*f(i).\nAnswer: -42*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 2)*(-2 + 1 - 2)*(5*g - 4*g - g**2 - 3*g).\nAnswer: 12*g**2 + 24*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -21*t**5\/20 + 18*t**4 - 10*t**3 - 7*t - 30. Find m such that a(m) = 0.\nAnswer: 0, 2\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82046317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -54*c**2*f**2 + 3*c**2 + 97*c - 3*f**3 wrt f?\nAnswer: -108*c**2*f - 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 d when two letters picked without replacement from ttdtttdtttdtttdddtd?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 114, -32, -3\/2, 66?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 380240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*x + 20157 + 76314 = 0. What are the prime factors of x?\nAnswer: 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -93*t - 97*t - 16 + 0*t**2 + 189*t - t**2 to r*t + d*t**2 + c and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -17817 to the nearest one hundred.\nAnswer: -17800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 20 = -5*r, -24 = -4*r + 3*d - 5. Sort 0, 2, r in ascending order.\nAnswer: 0, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1092 + 1092 - 184*w)*(0 + 2 - 3)*(1 - 5 + 1) to r + o*w and give o.\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 + 724*p**2 + 19078*p + 124916.\nAnswer: 2*(p + 11)*(p + 17)*(p + 334)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 129*i - 2633. Let t be k(18). Solve 3*r + 8 = -5*w + t, 2*r - w - 12 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -167315 + -5?\nAnswer: -167322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*b = -0*b + 2, 0 = 4*q + 5*b - 61. Solve 0 = -2*f + 5*f - q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 321656608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 4*l**2 + 9*l - 18. Let w be q(6). What is the units digit of (-27)\/w - 387\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 339.8 (b) 2\/5 (c) 135 (d) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 12*z + 756. Give y(-52).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**2 - 1956*a - 396088 = 0. What is a?\nAnswer: -154, 643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b + 8*b**4 - 3 + b**2 - 7*b + 2*b**2 - 5*b**2 as w*b**4 + p*b**2 + l + u*b**3 + f*b and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, d: 1, m: 1, x: 1, n: 1}. What is prob of picking 1 m, 1 d, 1 n, and 1 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289827216?\nAnswer: 2, 3, 7, 19, 37, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 14, 1 in descending order.\nAnswer: 14, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 72 = -4*b - 3*f, -3*b - 5*f = -62. Let x(n) = -n**2 - 18*n - 16. What is the remainder when x(-12) is divided by b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (32 - (-9 + 5 - 2 - -13))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20357615 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 45*d - 467. Give q(-28).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14140585*m**2*u**3 + 4*u**3 + u**2 + 9*u - 25566 wrt m.\nAnswer: 28281170*m*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000050927 to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/2)\/(11\/(22\/(-3))))\/(-9)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h - 2*j = -14*h + 14, -2*j - 2 = -2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -1\/9 (b) 0.08 (c) -1\/2 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 0, -3*l + 2*f + 6 = 3*f. Let v be (l + -3)\/(4\/(-8)). Solve -v*t + 2 = x, -2*t + 4*x - 13 = -5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*y + 38 - 129, -10 = -5*y. Let b = a + -14. Let f(m) = -m**3 + 5*m**2 - 4*m + 7. Let h be f(b). Which is bigger: -12 or h?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 922486769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 331*t. Let n(c) be the second derivative of -c**3\/6 + 16*c + 3. Calculate o(n(x)).\nAnswer: -331*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-66) + 18\/22. Let q = 0 - 0. Solve q*d = -d - r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 869184.\nAnswer: 9561024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 195.59 + -197. Let u = 254447.40943 - 254446. Let f = c + u. What is f rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15953\/9 + -15490435\/8739. Let g = -43751\/6797 - y. Let k = 128385\/16 + -8021. What is the common denominator of g and k?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32563573 - 32563567 - 5*d + 12*d.\nAnswer: 7*d + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 4*s**2 - s + 8. Let c be a(4). Let g be (2 + c)*(-1)\/(-26). Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 28 = -14*z. Let s = 36 - 27. Suppose v + 8 = 2*b, 3*b - 3*v = -s + 27. Solve -b*a - 7 + 1 = 0, z*a = 2*l - 22 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 7*a**4\/12 - 6*a**3 - 10*a + 37. Let l(n) be the first derivative of k(n). Find the second derivative of l(v) wrt v.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -5*z + 117495, -2*z = -5*k - 22923 - 24072. Round z to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 25*b**2 - 62 - 5\/3*b**3 - 45*b. Factor s(l).\nAnswer: -5*(l - 9)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzzyl. What is prob of sequence wzy?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-11)\/q**(-3))**(-9)\/(q\/q**(4\/5)*q**1)**(-2) assuming q is positive.\nAnswer: q**(372\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/2772 and (-6)\/9 - (12 + 12155\/(-1056)).\nAnswer: 22176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 63. Suppose 3*d = 171 - p. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 405 and 55585755.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 7:31 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1103424.6 microseconds?\nAnswer: 0.01839041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 107425996567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-10))**(-3\/35))**(1\/63))**27 assuming o is positive.\nAnswer: o**(18\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 1 + o**2 + 2*o**2)*(1 - 8*o - 3 + 0) - 2*o**3 - 5*o**3 + 0*o**3 + (-1 - 2*o + 1)*(-2*o**2 + 4 - 4) + 21 - 21 - o**3.\nAnswer: -36*o**3 - 8*o**2 + 8*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315*q**5 + 23*q**2 - 23*q**4 - 8*q**3 + 7*q**3 - 314*q**5 = 0. Calculate q.\nAnswer: -1, 0, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/594 and 29\/252.\nAnswer: 8316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*(sqrt(45) + 3) + (sqrt(5) - (-4 + 2*sqrt(5))) + sqrt(15)\/(sqrt(6)\/sqrt(2)))*-3.\nAnswer: -126 - 54*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5515*q**2 - q**3 + 5512*q**2 + 0 + 7*q - q**4 + 0 - 9*q + 2 to the form g*q**4 + b*q + m*q**2 + x*q**3 + n and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 4:22 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 205*r**3 + 4*r**2 + 21*r - 48. Does 55 divide h(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 w, and 1 z when four letters picked without replacement from fwzfwnayfwnfwz.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 210.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 514063 is divided by 34267?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.07 or -26.84?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, 0.78, -7?\nAnswer: 0.78","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.6767 to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08741508 and -0.4.\nAnswer: 0.034966032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m + 226 = -124. Suppose 94 = p - l, l = -4*p + 2*l + 382. Calculate the remainder when p is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -309ac4a - -14?\nAnswer: -309ac36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134, 128, 120, 110?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/73, -2\/11, 0.1, 2\/9, 9, 7 in descending order.\nAnswer: 9, 7, 2\/9, 0.1, -2\/73, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -86*k - 31. Is n(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*c - 21 = 0, 2*h - 4*c + 21 = c. Let i be (h\/(-3) + (-71838)\/(-27))\/1. Suppose 2*p + 5*k = -3*p + i, 0 = p - 4*k - 557. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*g**3 - 19*g**2 - 2 + 35*g**2 + g**4 + 11*g**3 to the form h*g + o*g**3 + z*g**2 + d*g**4 + s and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) 5\/16 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 2*v**2 + 0*v)*(2*v + 1 - 1) - 2*v**3 + 7*v**3 + 0*v**3.\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 15*v - 290. Let a be n(19). Let j = 7 + -11. Which is greater: j or a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-50)\/30 + 20\/(-6). Let s(v) be the first derivative of -1\/3*v**3 + 26 + 0*v - v**2. What is s(w)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -144.72 - -140.72. Put m, -6\/437, -2 in increasing order.\nAnswer: m, -2, -6\/437","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -7*g - 4*g + 57 - 6*g + 97*g**2 - 2*g + 58*g**2. Is j(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 10:08 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -7*t**3 + 4*t**2 - 5*t - 7. Let j(c) = 15*c**3 - 8*c**2 + 11*c + 15. Let h(i) = 13*g(i) + 6*j(i). What is the least common multiple of h(4) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1173618037?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-z - 2*z + 5*z)*(-5 + 0 + 3) - z + 4*z + 2*z)*(0*z**2 + 0*z**2 + z**2).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00925 to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 29210268 to the power of 1\/3, to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 419593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 42714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 60320534819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 819.4602ug in kilograms?\nAnswer: 0.0000008194602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -27*u**5\/4 - 2739*u**4 + 46635*u**3\/4 - 10758*u**2 + 1845*u = 0.\nAnswer: -410, 0, 2\/9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*o**4 - 4368*o**3 - 9988*o**2 + 984648*o - 2414880 = 0. Calculate o.\nAnswer: -215, -18, 13\/5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 977 divide 15728723?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g - 192 + 194 - 2*g + 2*g. Let x(h) = -h - 7. Let y be x(-7). Calculate r(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*i = -648, u + 5*i = i + 133. What is the greatest common factor of 215 and u?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19664 or 19832?\nAnswer: 19664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -25 + 30 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 - 356984*l - 7964848516.\nAnswer: -4*(l + 44623)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*u - 2*n - 12, 0 = 5*u - 5*n - 15. Is 11 a factor of (1*u)\/((-24)\/(-176))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*t - 57*t - 25 = -g, 2*g = 3*t - 2. Solve t = -y, 0 = -j + 9*y - 8*y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 2*d - 7*d)*(-2 - 4 + 4)*(2 - 2 - 1).\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -128, -15, 2662, -1 in ascending order.\nAnswer: -128, -15, -1, 4, 2662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11303684 + 11306008 = 28*c for c.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66048543, -66048544, -66048545, -66048546, -66048547?\nAnswer: -66048548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*l = -4. Let y be 1\/(-2) - (-23)\/l. Calculate the highest common factor of y and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-49)*(868\/(-19964))\/(1\/23).\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 + 3*p**4 - 15*p**4 + 7*p**4)*(-p + p + p + (-2 + 1 + 0)*(-2*p - 3*p + 4*p)).\nAnswer: -10*p**5 - 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-495)\/(-10)*(-4)\/(-3). Let y(x) = -t*x - 7 + 69*x - 17. Give y(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 4*d = 32, -24*q + 19*q - 40 = 7*d - 10*d for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3 - 47*l**3 - 22*l + 4 + 20*l. Let r be t(1). What is the common denominator of 27\/98 and 2*(-183)\/r*3\/(-6)?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 90\/(-20)*(-4)\/6. Suppose y*p + 18 = 6*p. Suppose t - 4 = p. Solve 4*f + f - t = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide 106641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 4*z**2 - z + 7. Calculate the remainder when q(6) is divided by (-330)\/(-22) + 2 - -12.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 66*b**5 - 95842*b**4\/5 + 6882748*b**3\/5 + 11122296*b**2\/5 - 5887888*b\/5 + 341056\/5 = 0.\nAnswer: -2, 1\/15, 4\/11, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 251, 1047, 2363, 4187, 6507?\n\"Answer: -2*c**3 + 272*c**2 - 6*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 2 (c) -8 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15513376 divided by 58.\nAnswer: 267472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418 is divided by 119?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + h - 3009 = 0, 2*u + 106*h = 108*h + 1206. Calculate the remainder when u is divided by 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 11*h**2 + 5*h. Calculate x(10).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 121*s**2 + 43*s - 3. Let c(y) = -40*y**2 - 14*y + 1. Let j(k) = -11*c(k) - 4*q(k). What is the second derivative of j(x) wrt x?\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -228*d + 73410. Give m(322).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 516830544 divided by 201258.\nAnswer: 2568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -24*j + 20. Let b be 2 - (-1 - (4 + 71)). Suppose 0 = 2*y - 15*y - b. What is the tens digit of z(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -1211201101?\nAnswer: -1211201111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -7 + 4*f**2 + 3 + 4*f**3 + 0*f**2 - 5*f**3. Suppose y + 3 - 5 = -j, -5*j + 3*y + 18 = 0. What are the prime factors of l(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104511561 (base 7) in base 9?\nAnswer: -12805710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + n + 3. Let j be b(-6). Let v be 26\/(-7) - 2\/7. Let q = j + v. What is the remainder when q is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 0.15, -1674 in ascending order.\nAnswer: -1674, -1\/3, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 9. Suppose -2*w + w - r = 0. Let p(q) = 3*q**2 - 58*q - 8. Let x(l) = -7*l**2 + 127*l + 18. Let n(m) = -11*p(m) - 5*x(m). Give n(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 0. Solve 4*m - h = -3*h + 20, 3*m = -h + r for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/4))**(4\/9)\/((l\/(l*l*l*l**(-3\/7)*l)*l)\/((l*(l*l**(-1))\/l)\/l)) assuming l is positive.\nAnswer: l**(43\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/15 - 0) + 7133\/35. Calculate the highest common divisor of b and 272.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3753 - -3783. Solve 2 = -j*p + 25*p - 3*f, 3*f = -3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1273 + 2545\/2. Let x = -0.3 + 0.5. Which is the closest to -1\/3? (a) 2\/21 (b) x (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6100078932.\nAnswer: 2, 3, 169446637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 4*a = -88 + 79, 2*a = -2*d - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 8\/(-10))\/((-10871700)\/(-62125) + -175)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -6. Let g(u) = -u**2 + 3*u + 1. Let w be g(d). Suppose -2*y + 2 = -8. Solve -y*o = -5*j - 30, w*o - 2 = 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 2 = -7*l. Solve l*w + 0*w - 10 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = -6*r + 72. Find the second derivative of -6*n + 0 - r - 65*n**3 - 2370*n**2 + 2370*n**2 wrt n.\nAnswer: -390*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2865527\/4 or 716382?\nAnswer: 716382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.7666265 decades?\nAnswer: 91.99518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 5:15 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 times -34758\nAnswer: -31282.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1824631 (base 9) in base 11?\nAnswer: 6376a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 788469.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-1 - (-14)\/1). Let z(l) = l**2 + 11*l - 22. Let o be z(k). Find n, given that 2*n + 2*n**2 - o*n**3 + 6*n**3 + 3*n - 2 - 7*n = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -22*l - 305. Calculate s(-28).\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1258 + 2.8083.\nAnswer: -1255.1917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 24 = -4*g. Let n(f) = -f**3 - f**2 + 1. Let q(x) = 2 - 10*x**3 + 3*x**3 - 6*x**2 + 4. Calculate g*n(j) - q(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5037601, -10075200, -15112795, -20150386?\nAnswer: -25187973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17091 - 17091. Let o(l) be the second derivative of 0 + z*l**3 + 9*l + 11\/4*l**4 + 6*l**2. Differentiate o(t) with respect to t.\nAnswer: 66*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = -5*v - 52. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**5\/60 + u**4\/24 + u**3\/6 + 46*u**2. Let d(w) = -5*w**2 + 6*w + 6. Let t(v) = -d(v) + 6*g(v). What is t(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35264 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -437 + 914. Let a = z + -5241\/11. Does a = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 546250.\nAnswer: -1092500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -14 (c) -2\/7 (d) -110 (e) 1\/8 (f) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4403000 (base 6) to base 8\nAnswer: 652410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49402 or -49439?\nAnswer: -49439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -54 and -212951958.\nAnswer: -212952012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**5\/20 + 5*q**4\/12 - 5*q**2\/2 + q. Let n = 0 - 1. Let s = n + 6. Determine f(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l + 5*l = 11458. Is 21 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4023 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of v**5\/30 - 7*v**4\/24 - v**3\/2 + 9*v**2. Let q(r) = r**2 - 4*r - 2. Determine -7*q(h) + 4*w(h).\nAnswer: h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 94924478 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 m when three letters picked without replacement from mmoommm?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d + 1. Let p(b) = -277*b**2 - 12*b + 6. Let m(t) = -p(t) + 6*s(t). Let y(r) = -6*r. Calculate m(y(g)).\nAnswer: 9972*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52679440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 96 = 5*u. Let i = -16 + u. Solve 0 = -i*m - m + 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4741 - 14894 = -2273*r + 14610 - 2423 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5252391?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479587325.\nAnswer: 5, 7, 151, 18149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - 0 - ((-25)\/(-10))\/5*-2. Sort -893, -1, i.\nAnswer: -893, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ch when two letters picked without replacement from chohoobbmobomcmoh.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156898551 is divided by 5837.\nAnswer: 5828","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4964497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -8 (c) 2\/9 (d) 1\/94 (e) -0.1 (f) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -206723395+-29027\nAnswer: -206752422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29385?\nAnswer: 3, 5, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from guzpzgzzgg. What is prob of picking 3 g and 1 p?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1541505 (base 7) to base 9.\nAnswer: -352573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**3 - 6*a**2 - 11*a - 13. Determine h(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59.7 - 45.7. Which is the nearest to 1\/4? (a) -0.2 (b) -7\/3 (c) h (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10087435*x**5 + 136334*x - 12 wrt x?\nAnswer: -201748700*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - -1)\/((-15)\/(-10)). Let n be 4\/(-12) - k\/6. Let p be -45*n*3\/9. Calculate the highest common factor of 165 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27563 - 18108. What is the thousands digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t. Let g(f) = -3 - 15 - 68*f - 19 - 51. Let n(o) = g(o) - 5*k(o). What is the derivative of n(d) wrt d?\nAnswer: -73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - u**2 + 1. Let m be v(0). Let x = 5 + m. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 8*l**2 + 5*l + 24. Let w be f(-7). Let c = 52 - w. Solve -t + 10 = 2*h, 0 = -3*h + 2*t + c + 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 - 48. Suppose -l*r + 7 = 5*p, 0*p = -3*r - 2*p. List the prime factors of ((-9)\/6)\/((-1)\/((-76)\/r)).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + -1)*-6 + 1.\nAnswer: -6*sqrt(19) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20147?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 13*g**2\/2 + 43. Let m(h) = 28*h. What is r(m(n))?\nAnswer: 364*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*c = -4 - 6, 4*c + 4 = -2*l. Solve -3*t + l = 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135159 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: What is 45 divided by 1?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 1894708.\nAnswer: 189470.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**2 - 31*c - 16. Determine d(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 3*s - 34, -5*s + 32 = -2*b - 8*s + 42 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 40 = -5*a, g = -927*a + 924*a - 14 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o + 2*o - 4*o)*(3335 + 3340 - 6809) as m*o + p and give m.\nAnswer: 670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t = 13*t + 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 124?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 5*a**4 + 267360*a**3 + 19224705*a**2 + 37647350*a + 18690000 = 0.\nAnswer: -53400, -70, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 - -53. Suppose 0*a = g*a - 6. Let w(l) = l**2 + l + 1. Let x be w(a). Is x >= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -14\/5*x**5 + 52*x + 0 + 0*x**2 - 1\/30*x**6 + 0*x**3 - 2*x**4. What is the third derivative of q(c) wrt c?\nAnswer: -24*c - 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -23*n - 2. Let k be h(1). Let p = -18 - k. Suppose 12 - 6*g**2 - g**2 + 4*g + 2*g**2 - 4*g**3 - p*g**2 = 0. Calculate g.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19763 * 10\nAnswer: 197630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**2\/7 + 2280*j\/7 - 2284\/7 = 0.\nAnswer: -571, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4977*m**4 + 24195*m - 705443883?\nAnswer: 19908*m**3 + 24195","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -11 - 4\/11*u - 2\/33*u**3 + 3\/11*u**2. Factor i(y).\nAnswer: -2*(y - 2)*(y - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-11)*s*s**(-2\/3) assuming s is positive.\nAnswer: s**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-6))\/((15\/6)\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = b + 3*b + 2*q, q + 99 = 5*b. Is 46 a factor of b\/6*1302\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*q = 293*q - 35 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 44?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 29 = 5*s. Suppose -i = 5*b + s + 9, 0 = -3*i + 4*b + 18. Let d be ((-3)\/2)\/(i\/68*-3). Solve 4*j - d = -2*l + 3*l, 0 = 3*l - 4*j + 19 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -371*y**2 - 1123*y**2 + 767*y**2 - 1097*y**2.\nAnswer: -1824*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 657*l - 656*l = 93. Calculate the remainder when l is divided by 24\/1 - -2 - 1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14465, -14470, -14477, -14486, -14497, -14510, -14525?\nAnswer: -14542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-21) + (-21)\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(4\/5))\/q**(1\/3))\/(q**(-2))**(-1\/14) assuming q is positive.\nAnswer: q**(-29\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 294\/5 - 487\/10. What is the common denominator of (-4*(-65)\/(-6540))\/(3*(-2)\/54) and p?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73 - 69. Is -24 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -249.06 + 0.06. Let j = p + 251. Which is the fourth biggest value? (a) -4\/3 (b) 3\/7 (c) j (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 3) + -6 + (1 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 63031, 63387, 63981, 64813, 65883, 67191, 68737?\n\"Answer: 119*j**2 - j + 62913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-12))\/((-1)\/72*6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*a**2 + 4*a + 3*a - 2*a - 5*a - 105*a**2 + 7*a**3.\nAnswer: 7*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 5:18 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - s + 29086 = 29112, -4 = 4*j + 5*s for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*l = 52, j = -0*j + l + 10. Let f(d) = -d**2 + 5*d + 4. What is the remainder when j is divided by f(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 7. Let w be (-41 - k) + (0 - -1). Let j = 79 + w. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x. Suppose -264 = 13*m - 19*m. Let c(f) = 24*f - m*f + 21*f. Calculate c(i(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + b + 46. Let r be z(-6). Suppose 4968 = 4*d + 5*j, 0 = r*j - 4 + 20. What are the prime factors of d?\nAnswer: 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from feffefffff?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -135223.295 * 0.4.\nAnswer: -54089.318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 8:03 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t + 7. Let a(l) = 2*l + 7. Let w(u) = 3*a(u) - 2*j(u). Let h be w(-4). Sort 4, h, 0, 3 in increasing order.\nAnswer: h, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0349195414 minus 119973?\nAnswer: -119973.0349195414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-49)*7\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*p + 22*p + 586 = 5*d, p - 5*d - 78 = 0. Solve 16 = -2*c - 5*u, -p*c - 20 = -79*c + 4*u for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 16) to base 9.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*x - 29*x + 18 = 0. Put -3, x, 0, -2 in ascending order.\nAnswer: -3, -2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.005 + -0.105. Which is the second biggest value? (a) -2\/7 (b) f (c) 18\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -5 (b) 5 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30615842?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7356, -53313, -178072, -421035, -821604, -1419181, -2253168?\n\"Answer: -6567*b**3 + b**2 + 9*b - 799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + b77?\nAnswer: b77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 973 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -1 (c) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.29 in 0, -101, -343, -0.3, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 1213\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68 + -48. Let q(g) = -1 - 14*g + 0*g - 6*g. What is the remainder when q(-3) is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by 5830573.\nAnswer: 4\/832939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f + 5. Let l(a) = -a - 1. Suppose 0 = 3*y - 0*y - 3. Let d(g) = y*i(g) + 6*l(g). Is 2 a factor of d(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*h - 163*h + 41*h.\nAnswer: -255*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*z - o = 17, 2*z = -5*o + 6. Calculate the highest common factor of 377 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -4*s**2 + 3. Let b(x) = 2*x. Give k(b(v)).\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -945?\nAnswer: 283.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 2. Let x(n) be the third derivative of -1\/10*n**5 + 0*n**4 + 0 + 0*n**3 - u*n**2 + 0*n. Let p(v) = 2*v. What is x(p(y))?\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3\/5 + 10938*g**2\/5 + 1980807*g - 120428676\/5.\nAnswer: 3*(g - 12)*(g + 1829)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35637 = 12*j - 3351. List the prime factors of j.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14955 and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -3548594?\nAnswer: -3548599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/(-30))\/((-6)\/(-18))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - 0.2. Let x = -177.5 + 178. Which is the second smallest value? (a) 1\/9 (b) m (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -104\/537915 and -29\/1170.\nAnswer: 41957370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 3*g + 4, 0 = 2*b + 58*g - 55*g - 2. What is the fourth biggest value in -4, b, -13\/3, 0, 0.6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 4. Let c(t) be the second derivative of 7*t**3\/6 + 2*t**2 - 10*t. Does 16 divide c(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37848462, 37848461, 37848460?\nAnswer: 37848459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*v - 87341 = -5039. What is the remainder when v is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/6 of a minute?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 553152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 5678355?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -3 (c) 54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*f - 18 = -3*f, 5*x - f - 41 = 0. Suppose 3*p = -p + x. Calculate the lowest common multiple of 6*(2\/4)\/((-33)\/(-66)) and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwbwwbwsbbb. Give prob of sequence sb.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(180))**2 + -5.\nAnswer: 24*sqrt(5) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 399 and 6?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1028389690 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*n - 2*x + 6, -4*n + 2*x = -44. Suppose 0 = 2*m + 6, -s = 4*s - m - n. Which is smaller: s or 28\/41?\nAnswer: 28\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57355.44 millennia in centuries?\nAnswer: 573554.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-108))\/((-14)\/56)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(891) + sqrt(891) + sqrt(891) + (sqrt(891) - sqrt(891)*1) + -4 + sqrt(891) + sqrt(539)*-1*-3)**2.\nAnswer: -2280*sqrt(11) + 178775","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 396.7 to the nearest ten.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*y + 2*p, 0 = 3*p + 9. Let f = 8 - 4. Let j be ((1 - 3)*1)\/(-18). Sort f, j, y in increasing order.\nAnswer: j, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**2 - i + 2. Give u(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21833 is divided by 112?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -143946099 + 4317298511\/30. Let b = n + 36145. Calculate the common denominator of b and 143\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2246562.\nAnswer: 2, 3, 41603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -m - 742, u + 3*m + 1854 = 6*u. Find the first derivative of -317 - 6*n**4 - 33*n**4 + u wrt n.\nAnswer: -156*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/15 - (-322)\/35*(-12)\/(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -291, -467, -643?\nAnswer: -819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 5*k**2 + k. Suppose -n - 10 = 2*o - 3*o, 3*n + 5*o = 2. Let z be d(n). What is the common denominator of -89\/20 and (-249)\/z - (2 - 0)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 67 + 23)*(-3 - 2*u + 3).\nAnswer: 38*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-10)\/(-8) + -1). What is the first derivative of 4*f**4 - f**4 - 1 + 2*f**m - 4*f**4 wrt f?\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10)\/((-40)\/(-25)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/4 of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000046151 rounded to 7 decimal places?\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-15)\/36)*(-3)\/(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8e5 - -a4?\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7625 and 5185?\nAnswer: 129625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95830021?\nAnswer: 7, 31, 441613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**3 - 4*k**3 - 5*k**3 - 6*k wrt k?\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 j when three letters picked without replacement from {g: 2, v: 7, j: 1, n: 5, h: 3}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -30*x**2 - 15*x - 6. Let u be r(-5). Let o = -670 - u. Solve 4*y + o = 3*n, -2*y - 8 = 2*y for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + c - 2*c)*(126*c**4 + 32*c**4 - 261*c**4).\nAnswer: -206*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-9)\/(-6))\/(6\/204) is divided by (0 + 52\/6)*3.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 + 41. Let i be (-10)\/(-60) + 71\/6. Let q be ((-1)\/i)\/(8\/(-32)). Which is the closest to k? (a) -1\/4 (b) q (c) -3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/793 and -17\/15.\nAnswer: 11895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6*a - 3. Let c(s) = s. Determine -c(b) - p(b).\nAnswer: -7*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 2*q + q)*(-q**2 + 2*q**2 + q**2) - 2*q**3 + 3*q**3 + q**3 + (552 - 552 + 19*q**2)*((-3 - 1 + 6)*(3*q - q - q) - 3 - q + 3).\nAnswer: 25*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 4428?\nAnswer: 4427.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m - 16821*m**2 + 16827*m**2 + 6*m.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23270 and 60580?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1364765061.\nAnswer: 3, 11, 251, 164767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*n + 4 - 12 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = 2*h - 5. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 4, m: 6, s: 1, z: 3}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + n = -0*n + 24, 6 = 2*n. Let j be (-2)\/7 + (-16)\/m. Solve 3*t - 8 = -j*y + 5*t, -11 = y + 4*t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 5:42 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t - 4. Suppose 0 = 9*m - 11*m - 4. What is c(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/20 + -6 + 5. Let k = -0.1 - -0.1. Let s be (3\/2*2)\/(3 - -5). Which is the nearest to k? (a) 5 (b) h (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c**3 - 4*c**3 - 5*c**3)*(4 - 10 + 4)*(0 - 2*c + 0) to the form h*c**2 + t + i*c**3 + s*c + q*c**4 and give q.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5819.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -6*q + 12. Suppose -k + 5*x = -1, 0 = -5*k - 0*k + q*x + 27. Solve -3*l + 12 = d, -3*d - 16 = -4*l - k*d for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/45)\/((-8)\/24)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0394302697 + 0.0624115?\nAnswer: 0.1018417697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6810659?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -57215, -57257, -57309, -57371, -57443?\n\"Answer: -5*r**2 - 27*r - 57183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/324 - (0 - (-74)\/360) and 23\/30.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -260 - -3213?\nAnswer: 2733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1215\/5852 - 21\/209. What is the nearest to 1 in -4, v, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 989 + -638. Let f = y - -9. What is the greatest common factor of 45 and f?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 6*r. Let d(f) = 16 - f - 18 + 2. Let w(q) = -8*d(q) - o(q). Let j(a) = -3*a. Calculate w(j(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - ((-25 - (3 + -28)) + -27)) + (-48 - -1).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3655.255 years?\nAnswer: 36.55255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 10, c: 1, f: 9}. What is prob of sequence feec?\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-128)\/20 - 4\/(-10). Let z = a + 8. Suppose 2*h = -3*q - 61 + 319, -q = z*h - 82. Calculate the remainder when q is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342048 is divided by 13679.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = -2*n + 85 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s**7\/1365 + s**6\/390 - 7*s**5\/390 - 2*s**4\/39 + 4*s**3\/13 + 1013*s**2. Find o such that z(o) = 0.\nAnswer: -3, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.295896 to two dps.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q - 3*q - 1 + q)*(102*q**2 + 79*q**2 + 127*q**2) in the form k + t*q**3 + n*q**2 + z*q and give n.\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s + 2*s + s + (-3*s + s + 3*s)*(3 + 6 - 1) + 4*s - 2*s - 3*s.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6365606 and 13390.\nAnswer: 2678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -8*f**3 + 47*f**2 - 7*f + 8. Calculate g(-2).\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17726, 35450, 53162, 70856, 88526, 106166, 123770?\nAnswer: 141332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6867*x - 75278. Calculate j(11).\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 842 is divided by 169.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 6:31 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 10110001000011010100110?\nAnswer: -10110001000011010101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/91123 - 5194147\/6196364. What is the common denominator of -85\/138 and r?\nAnswer: 4692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 + 57*d + 69*d - 126*d.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + 3 + -3)*4. Let o = -14 + j. What is the least common multiple of (1 - -17 - o) + 0 and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 + 17*k - 33. Let v be q(3). Sort -5, v, 1, 30 in ascending order.\nAnswer: -5, v, 1, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 140 - 131. Sort -3, 8, m, 4.\nAnswer: -3, m, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -5 (b) -0.6 (c) 28154 (d) 1\/3 (e) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29444)\/(-1732))\/(2 + (105\/6)\/(-7)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, f: 15}. Give prob of picking 2 f.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 21\/8477*(-280)\/(-10)*10\/60\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y. Let d(p) = 1117*p**2. Determine t(d(w)).\nAnswer: 3351*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 652307.3 to the nearest 1000.\nAnswer: 652000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 5. Let r be (-2 - n\/(-2))*6. Let v be 12\/10*15\/6. Solve 2*j + 3 = -j, r*z = v*j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-23)\/(-12) - 587\/(-7044). What is b in -4\/5*b - 2\/5*b**j + 0 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18536 + 60713. Let d = h - 42212.962. Let l = d + 36. What is l rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5190004 to the power of 1\/2, to the nearest integer?\nAnswer: 2278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 11*b**9\/504 + b**6\/2 - 13*b**5\/12 + 5*b**3\/6 + 566*b**2. Find the third derivative of m(o) wrt o.\nAnswer: 1320*o**3 + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, s: 4, o: 2, k: 3}. What is prob of picking 3 k and 1 s?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 4. Let x be (b\/8)\/(4\/8). Let r = -11\/36 - x. What is the common denominator of r and -127\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/736 and 61\/26680.\nAnswer: 106720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -641875 and -11.5591.\nAnswer: -641886.5591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100110001000010 (base 2) to base 11.\nAnswer: 36317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**4\/10 + 3611*s**3\/2 - 144341*s**2\/10 - 631939*s\/10 + 2652909\/5 = 0. What is s?\nAnswer: -6, 7, 18047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1861 divide 97948152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-339)\/(-12) + 2\/(-8)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + -1 + -3 - -1*-3*sqrt(108)) + (0 + -1 + sqrt(108) - (sqrt(108)*1 + -2)))**2.\nAnswer: 72*sqrt(3) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 136807249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**2 - 47508524*i - 142525608 = 0 for i.\nAnswer: -3, 11877134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433*f + 3960 = -227*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 - -1. Suppose -45*o + 144 = -41*o. Let u be 0 + 6\/o*2. Which is the nearest to -1\/2? (a) v (b) u (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*s + s**4 - 6*s - 9*s - 3 + 2*s**2 as r*s**2 + o*s**3 + a*s + l + f*s**4 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 10*t**2 + 8*t - 7. Let i be r(9). Let o = -1 - 0. Let a be i\/(2\/o) - 3. Solve 3*u = -0*z + 2*z + 12, -4*u - a*z - 7 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/42)\/(4*9\/(-54)). What is the nearest to s in -2, -4, -3\/13?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, u: 2, p: 4}. Give prob of picking 2 p.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(2\/33))\/d**(-6))\/((d\/((d*d**22*d)\/d))\/(d**12\/d*d)))**31 assuming d is positive.\nAnswer: d**(41881\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -133, -194, -255, -316, -377?\nAnswer: -438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 100 - 101. Let j(p) = 6*p + p + 18 - 6*p - 3. Let r be j(-15). Put -4, r, y, -7 in increasing order.\nAnswer: -7, -4, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 + -29. Let f = -1 + i. Factor -3*a**5 + a**4 + f*a**4 - a**3 - 2*a**3.\nAnswer: -3*a**3*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/8 of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 118032 and 192?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60805*h + 28249*h - 6 + 3 + 30057*h + 3.\nAnswer: -2499*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 49 - (-610 - -586)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 32*j - 642. Let v be w(-14). What is the biggest value in 0.2, v, -369?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.875, -3, 0.4.\nAnswer: -3, 0.4, 0.875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k - 1. Suppose 7*n - 3*n - 24 = 0. Let i be t(n). Let b(c) = -c - 5*c + c - i + c**2. Determine b(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-33)*2607\/(-1659).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 + 5*a**3 - 2*a**3 - 8*a.\nAnswer: a**3 - 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**4 + 224*p**3 - 13440*p - 2477 - 2569 + 878 - 2656*p**2 - 895 - 9337.\nAnswer: -4*(p - 30)**2*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -9*w**2 - 225*w + 7. Let s(z) = 5*z**2 + 113*z - 4. Calculate 6*p(u) + 11*s(u).\nAnswer: u**2 - 107*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4 (b) -138 (c) -1 (d) -1\/3 (e) 567 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 12. Solve -2*k + 3*k - 4*l + 13 = 0, 3*l = z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1 - 36 + 110 + 114 + 107 - 259*b wrt b?\nAnswer: -259","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3018319470 to the power of 1\/2, to the nearest integer?\nAnswer: 54939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 7. Let p = 7 - k. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -7. Let q be (p - -2)*25\/(-15). Solve q*o - 5*c = 0, -2*o = -0*o - c for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - (1 - (0 - -2) - 23). Solve 2*r - 6*r - m = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/19, 2\/7, -0.056, -9\/7, -5 in decreasing order.\nAnswer: 2\/7, 1\/19, -0.056, -9\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1116*d - 320 = -1132*d for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 6*p + 6. Let q(f) = 136*f**2 - 11*f + 2. Is q(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31 minus -84398.77478?\nAnswer: 84398.46478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h - 15 = -17*h. Suppose 2*u - h*a - 8 - 24 = 0, -u + a = -16. Let q be 8*(4\/u + 1). Solve x + q = -x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -u**3\/3 + 11*u**2\/2 - 4*u + 7. Let i(p) = p**2 - 7*p - 217. Let h be i(19). Determine j(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12081410.39 rounded to the nearest 100000?\nAnswer: -12100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25505220 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*m - 28*m + 14*m)*(0*m + 0*m - m).\nAnswer: 50*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/13 - 174836236*p\/13 + 3820963677330962\/13.\nAnswer: 2*(p - 43709059)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*q - 3*p + 4, 0 = -3*p - 12. Let b = q + -2. What is the units digit of b\/((-10)\/(-8) - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 2 (c) 1430 (d) 0 (e) 117\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 551909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 98 - -2. Let s = -98 + n. Which is the closest to 25? (a) 5 (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d - 1. Let m be (-16)\/10*(-10)\/4. Let n be m\/(-8) + 25\/10. Suppose l + 3 = n. Give x(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**3 + 6*w**2 + 7*w + 5. Determine u(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 + 46. Let c(r) = r**2 - r - 3. What is the remainder when c(5) is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2591 minus 240?\nAnswer: 2351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -3) + 0 - 2 - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 502 by -127952.\nAnswer: -251\/63976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2)**(1\/13)\/(p**(2\/7))**(-2\/17) assuming p is positive.\nAnswer: p**(290\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9107, 9100, 9089, 9074?\n\"Answer: -2*u**2 - u + 9110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(85)*-2)\/(-5*2*sqrt(5) - sqrt(5)) + 1.\nAnswer: 1 + 4*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 4 = 0, -4*k - 1 = -u - 2*k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 205*b**3*t + 914*b**3 + 9*b**2*t + 2*b*t - 9*b + 1 with respect to t.\nAnswer: 205*b**3 + 9*b**2 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 29*c + 44. Let j be k(14). Let f = -265 - j. Let n = f + 131. What is the remainder when 123 is divided by n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 14*r**2 - 76*r - 19. What is t(5)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 651 is divided by 203?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(17\/3)*f*f*(f**(-11)*f)\/f)**35)**(1\/83) assuming f is positive.\nAnswer: f**(-245\/249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*4\/6*(-6)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/3 + 242*x**2\/3 + 2480*x + 2400.\nAnswer: 2*(x + 1)*(x + 60)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 260*j**2 + 1432*j - 7. Is t(19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 10798.\nAnswer: 8\/5399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1859 - 1859. Suppose 1 + 5 = 6*u. Put 6, u, h, 4 in decreasing order.\nAnswer: 6, 4, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0) + (0 + -2 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8019 is divided by 89.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 5. Let t = 2 + 1. Let n = 1 + t. Let r be g(n). Calculate the greatest common factor of 11 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1010 and 3231798?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-7*(-3)\/546)\/1.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 251, 3, 0.3, 0?\nAnswer: 251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(10) + sqrt(40) - sqrt(10)) + 6*sqrt(50)\/sqrt(5))\/(sqrt(2592)*-2 - sqrt(2592)).\nAnswer: -5*sqrt(5)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31617651?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/66 and 61\/1482.\nAnswer: 16302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n**3 - 6*n**2 - 2*n - 1. Let x(j) = -5*j**3 - 7*j**2 - j - 1. What is -3*x(t) + 4*y(t)?\nAnswer: -t**3 - 3*t**2 - 5*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 24405500 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 4*x + 1. Let m be r(3). Let j be 1 - (-5 + m) - 1. What is the closest to 0.1 in 2\/5, j, 1\/2, -1\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 7*w + 28. Let c = 12656 + -12667. Give n(c).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2*64*(-2)\/1692 and -59\/27.\nAnswer: 1269","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g + 4. Let o be p(-3). Let t(d) = -d**3 - d**2 + d - 1. Suppose -5*b + 11 = -19. Let u(l) = 7*l**3 + 6*l**2 - 6*l + 7. Calculate b*t(m) + o*u(m).\nAnswer: m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*k + 6. Let l(j) = 6*j**3 + 4*j**2 - 4*j - 1. Let u be l(1). Solve u*r = 0, 2*w - k*r - 6 = r for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, -8, -58, -108?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from jqqqjqqjjqjjqjjj.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1702632 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366309380?\nAnswer: 2, 5, 18315469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 9:49 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - -2)*((6 - -1) + 0). Let q(g) = 17*g**2 - y*g**2 + 2*g**2. Let u(c) = 17*c + 1. Give q(u(m)).\nAnswer: -578*m**2 - 68*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 6:19 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 22174737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 6:20 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -20\/9587?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 + 2*l + (-2 + 3 + 2)*(5*l - 3*l - 3*l) - 2 - 7 - l - 5 in the form x*l + s and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 3. Let j(u) = -u**3 - 5*u**2 - 3*u + 4. Let q be j(-4). Let p = 59\/8 + -29\/4. What is the closest to r in q, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (74 + 20) - -73\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**4 + c**2 + c - 2. Let g(v) = 79*v**4 + 448*v**2 + 3*v - 6. Let k(n) = 2*g(n) - 6*p(n). Find the third derivative of k(x) wrt x.\nAnswer: 3648*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*v - 202 = 0, 5*h - 75 - 910 = 5*v. Suppose 0 = -4*g + 44 + h. Suppose g = 5*u - 141. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -2)*(-1 - 1). Let g(v) = v**2 + 4*v + 1. Let o be g(k). Let f = 3 - o. What is the biggest value in -4, f, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.4 + 0.6. Let p = -9219.3 - -9222.3. Which is the second biggest value? (a) p (b) i (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.59 - 0.41. Which is the closest to 0? (a) 5 (b) u (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15.3 times 0.15\nAnswer: 2.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l = -65 + 17. Find the second derivative of y - 50*y**4 - 26*y**4 + 8*y**l + 21 wrt y.\nAnswer: -816*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*r + 29*r - 8. Solve 0 = -b + r*g + 2, 3*b - 1 + 25 = -4*g for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*g - 398 = -152*g + 142 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3059 by 4.\nAnswer: 3059\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -88, -81, -74?\n\"Answer: 7*b - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-8)*((-182)\/21 - -10). Let c(p) be the third derivative of 1\/60*p**5 + 0 + v*p**4 + 0*p + 1\/3*p**3 + 6*p**2. Give c(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2986.7362024 + 3003.7362. Let n = 17 - k. What is n rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 184*m**3 - 41962*m**2 + 2393544*m - 129960.\nAnswer: 2*(m - 114)**2*(92*m - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 x, and 1 u when three letters picked without replacement from uuupppuupppxuu?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f - 5*f - 20*f - 7*f as n + q*f and give q.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 116799869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 86 - (87 - (69 - -45))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 2\/7, 24?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -544 + 2315?\nAnswer: 1771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = u - 43. Suppose -5*g - 5*a + 605 = 0, 2*a + 440 + u = 4*g. Suppose 26*y = 30*y - g. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -344 + 349. Suppose 5*r - 7*m = -2*m + 3290, -3269 = -k*r - 2*m. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 1172*x**2 - 14*x - 14. Let c(d) = -585*d**2 + 6*d + 6. What is -7*c(v) - 3*q(v)?\nAnswer: 579*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5629 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1845333 divided by 9.\nAnswer: 205037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5006, -10955, -16904, -22853, -28802, -34751?\nAnswer: -40700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 854*c**3 - 288*c**3 - 286*c**3 - 286*c**3.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1013 - -1012.998. Let f = 47561.00200088 + -47561. Let b = r + f. What is b rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32624563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 71796143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21099, -21112, -21139, -21186, -21259, -21364?\nAnswer: -21507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5567.379 litres?\nAnswer: 5567379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/3 (b) 3298 (c) 3\/290\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 - 3 - 2 + (4 - 3 + 1)*(-3 - 3 + 4))*(0*v**3 - 2*v**3 - 3*v**3) in the form z*v**2 + b*v**3 + x + l*v and give b.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -442416 divided by -104.\nAnswer: 4254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -c0c1 (base 15) to base 16\nAnswer: -9ee9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -86505, -173213, -260123, -347235, -434549, -522065, -609783?\n\"Answer: -101*h**2 - 86405*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 + 1.7. Let x = -119.5 - -157. Let l = x - 38. Which is the biggest value? (a) 1 (b) l (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*g - 5*g. Suppose 4*k = 5*k - 4, -g*k = 5*m - 67. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*y + 10 = -12, 2*c - 4 = -y. Is 2722\/c + (-110)\/330 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47548, 189995, 427378, 759685, 1186904, 1709023, 2326030, 3037913?\nAnswer: 3844660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 16 + -2 + 49 + -45 - 69\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -56949, -114216, -171483, -228750?\n\"Answer: -57267*c + 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4.24 (b) -2\/7 (c) 0 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 847*y**4 + y - 95 wrt y?\nAnswer: 10164*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m - 7. Let k be z(7). Let d(l) = -4*l + 2*l + l + k*l. Let u(p) be the first derivative of 3*p**2\/2 + 146. Calculate u(d(w)).\nAnswer: 39*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/1 + (-7 - 1). What is the common denominator of 28\/6 - d*3\/18 and 73\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 966 and 7.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z - 5*o - 22, -3*z + 8*z - 2*o = 25 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 2*t**2 + t**2 - 5 + 6. Let m(f) = f**2 - f - 1. Let n be m(-1). Let o = 0 - n. Give v(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a**3*l**2*u - 11*a**3*l*u**2 - 3*a**2*l**2 - 14*a**2*l*u**2 + 3*a**2 wrt a?\nAnswer: 18*l**2*u - 66*l*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -23*l - 65. Let v be a(-3). Suppose 0 = y + 5, 0 = -6*u + 3*u + v*y + 1043. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 130169887\/4054 + -32109. Let y = m - 156085\/24324. Find the common denominator of -77\/18 and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 799*l**2. Let z(g) = 1. Let f(v) = -4*v**2 - 27*v - 15. Let b be f(-6). Let n(r) = 2*r + 3. Let c(d) = b*z(d) - n(d). What is c(t(m))?\nAnswer: -1598*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -234703 + 234715. Let l(h) = h**3 + 5*h**2 - 4*h - 4. Let j be l(-5). Let c = 37 - j. What is the lowest common multiple of c and x?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 1 = x - 0, -2*r - 5 = -5*x. Let g = -6 - -1. Suppose -m = 1 - 3. Put g, r, m in descending order.\nAnswer: m, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 204184, 204430, 204676, 204922?\nAnswer: 205168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a microgram in nanograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76470846 and 37056?\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001837368856 to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*f - 1384 = 32*f. Let l = f - 296. Calculate the remainder when l is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**5\/60 - 5*f**3\/6 + 89*f**2 - f. Let r(h) = 0 + h + 0 + 0. Determine r(z(d)).\nAnswer: -d**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -104 - -216. Let x(y) = -v + 40 + 60*y + 34 + 38. Let z(m) = 4*m**2. Determine z(x(k)).\nAnswer: 14400*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ots. Give prob of picking 1 t and 1 o.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*1263.83.\nAnswer: 252.766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9840 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11435?\nAnswer: 5, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 8*s**2 + 15*s + 1. Let r be t(-7). Let z = r + 71. Solve 2*i = 6*i + z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -4a4529?\nAnswer: 4a452a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 175*a - 226. Let b(k) = 177*k - 225. Let s(t) = 6*b(t) - 7*i(t). Differentiate s(c) with respect to c.\nAnswer: -163","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/3 - 7404*v**2 - 580554*v - 11340576.\nAnswer: 2*(v - 11184)*(v + 39)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y + 4. Let l(c) = 18*c - 45. Give l(r) + 5*m(r).\nAnswer: 13*r - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 6*d**2 + 4*d. Let y(l) = 4*l**2 - l + 0*l**2 + 2*l - 5*l**2. Suppose 40 - 68 = -37*x + 9. Calculate x*f(q) - 4*y(q).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -y + 10*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a kilogram in grams?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one fifths of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16720 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: Divide 34 by -590.\nAnswer: -17\/295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 330 = -33*x. What is the tens digit of ((207*x)\/(-1))\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 - 12896*c**3 + 51572*c**2 - 51568*c.\nAnswer: c*(c - 12892)*(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**6\/120 - x**5\/6 - 3*x**4\/8 + 10*x**3 - 3*x**2 + 10*x. Let k be o(-8). Solve -i - k + 2 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236607 <= 1236607?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.32 - -21.\nAnswer: 21.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r = 22*r + 57. Suppose -4*a - 33 = u, 3*a - 16 + 47 = -2*u. Let f = r - a. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5534360 and 1160?\nAnswer: 5534360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66327, -66316, -66299, -66276, -66247, -66212, -66171?\nAnswer: -66124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4426*j - j**3 + 4426*j.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, s: 11}. Give prob of sequence oss.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16177, -25787, -35387, -44971, -54533, -64067, -73567?\nAnswer: -83027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 308 - 306. What is the first derivative of 18*o**3 + 11*o**g - 11*o**2 - 76*o**4 + 73*o**4 + 107 wrt o?\nAnswer: -12*o**3 + 54*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 600 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53511 is divided by 17736?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y. Let s be ((-1)\/(-3))\/((-2)\/(-24)). Let m(r) = -2*r + 4 - s. What is m(l(v))?\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r*y**4 + 486*r*y**3 + 1136*r*y**2 + r*y + 9*r + 131*y**4 + 3*y**3 - 3*y**2 - 2*y wrt y.\nAnswer: 24*r*y + 2916*r + 3144*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(308)\/(sqrt(7)*-3))\/(sqrt(196) - sqrt(196)*-1) + (5 + sqrt(1584) + -2*sqrt(1584))**2*-2 + 3.\nAnswer: -3215 + 10079*sqrt(11)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.53 and 0.160517.\nAnswer: -0.08507401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2. Let d(r) = -r**2 - r**2 - 6*r**2. Calculate d(l(b)).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 0 - 8. Suppose 3*z + 2*i = -z + 11092, -k*z = i - 11090. Calculate the common denominator of -79\/6 and (-2)\/(-11) + (-8919)\/z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -43, -67, -107, -163, -235, -323?\n\"Answer: -8*w**2 - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, -105, -106, -107, -108?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024025486 plus -200217?\nAnswer: -200217.024025486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -80 - -83. Let d(i) = i**3 - 5*i**2 + i - 4. Determine d(c).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (-7 - (2 + -5)). Solve 2\/5 - 2\/5*h**y + 0*h = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 2 (c) 19.2 (d) 0 (e) -3\/5 (f) 1\/37 (g) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 + -1123033000?\nAnswer: -1123033021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5444 - -54377\/10. Find the common denominator of -45\/22 and p.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + 1.3. Let q = -11.83 - 3.17. Which is bigger: q or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 7*z - 9. Let d be m(4). Let k be d\/(-6) + 106\/(-4). Let c = -24 - k. Solve 0 = -3*x - 0*x + c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*t - 52 = -0*t, 92 = 5*g + 4*t. Solve 0*d - g = -4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1199, -1223, -1259, -1307?\nAnswer: -1367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4582 - -9850. What is the thousands digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31ae (base 16) in base 14?\nAnswer: 48c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*z - 3010 - 2525. Find the third derivative of -8865*x + 8907*x + 3*x**2 - z*x**3 - 62*x**3 wrt x.\nAnswer: -1602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18302923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 1417712188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*v + 43*v = -8. Let h(g) = 6*g**2 + 5*g - 10. List the prime factors of h(v).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -0*r + 42. Let n = 22 - r. Solve 5*w = 14 + n for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b + 12 = -b - 63 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -617.4908926 - -617.48. What is b rounded to 4 decimal places?\nAnswer: -0.0109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 13 = -24*c. Let b be (c\/9)\/(28\/63). What is r in 0*r + 0 - b*r**2 - 1\/4*r**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 150\/35 + ((-30)\/7 - -4). Let v = -0.1 + 1.1. What is the smallest value in 0.5, 0, v, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1134939 is divided by 3179?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**2 + 5*w - 5*w**2 + 7*w**3 + 9*w**2 in the form n + k*w + s*w**2 + f*w**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -1095200*u**3 + 29591120*u**2\/7 - 79934*u\/7 + 54\/7 = 0?\nAnswer: 1\/740, 27\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 60077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-three quarters of a millimeter?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3817 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.01637 + 0.01637. What is the smallest value in 1, -2\/3, -1\/3, o, 15?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 9*h + 3. Suppose -2*d + 2*f - 3*f = 0, -5 = 5*d + 5*f. What is the lowest common multiple of b(d) and 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -5*w**4 + 4*w**3 - 5*w**2 - 2. Let k(x) = -81*x**4 + 63*x**3 - 81*x**2 - 33. Let i(h) = 33*c(h) - 2*k(h). Factor i(y).\nAnswer: -3*y**2*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 3*o + 32 = 0, -o + 0*o = -2*x + 2*o - 5*o for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n**2 - 396*n + 12. Give m(-99).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3420\/513*(-72)\/(-520).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -368, -871, -1374, -1877, -2380, -2883?\n\"Answer: -503*n + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 6*r**2 - 3*r - 13. Let a be g(-6). Suppose -21 = -12*y + a*y. Is ((-1)\/y)\/((-3)\/9441) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-101)\/((-125947)\/87)*-1\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-2\/5)))**(-45)\/((v\/v**(14\/5))\/(v*v*(v\/v**(5\/4))\/v*v)) assuming v is positive.\nAnswer: v**(-289\/20)","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 bvbbbbbbv.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105324 (base 6) to base 8.\nAnswer: -21424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 0 - 2*a**2 + 1\/6*a**3 + 0*a - 1\/6*a**4 - 1\/60*a**5 + 1\/120*a**6. Is d(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35691.\nAnswer: 3, 11897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o. Let p(q) = -1680*q. Determine p(g(y)).\nAnswer: -3360*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t**2 + 3*t**2 - 1 + 5*t**2. Let a = -15 - -14. Determine s(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 51*f + 2. Determine x(-1).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/5, -5, 1, -4, 39, 131, -1 in decreasing order.\nAnswer: 131, 39, 1, -1, -7\/5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (16940\/3872)\/((-10)\/32)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 17*h**3 + 133*h**2 - 47*h + 26844. Let w(o) = -7*o**3 - 53*o**2 + 19*o - 10739. Let p(a) = 5*u(a) + 13*w(a). What is the derivative of p(j) wrt j?\nAnswer: -18*j**2 - 48*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*j**2 + 10 - 4 - 2 + 6*j**2 to r*j + b*j**2 + l and give b.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -975, -972, -967, -960, -951, -940, -927?\n\"Answer: y**2 - 976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v**3 + 41*v**2 - 25*v - 36. Let p(u) = u**3 + 8*u**2 - 5*u - 7. Let r(i) = 11*p(i) - 2*x(i). Suppose -55 = -y - 4*y. Let z = y + -6. What is r(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13899 - 8060. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16849 is divided by 401.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -58? (a) 5 (b) 9\/4 (c) 1\/3070\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 15 - 14)*(-3*m**2 + 2*m**2 + 2*m**2).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 3*o - 0*s + 60, 2*o - 324 = 5*s - 114 - 273 for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 663*r - 261*r**3 - 50 - 1333*r + 670*r wrt r?\nAnswer: -783*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56016516.2 rounded to the nearest 1000?\nAnswer: -56017000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -6*m**3 - m**2\/2 - 2*m. Let p(c) = -83*c - 3. Let k(o) = 304*o + 11. Let a(x) = 3*k(x) + 11*p(x). Give q(a(w)).\nAnswer: 36*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*u + 6*u + 470 + 686 - 64 = 0 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 12:25 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)\/((d\/d**6*d)\/d))\/(((d*d\/((d\/(d\/((d**(-1\/6)*d)\/d)))\/d)*d)\/d)\/d**(-6)) assuming d is positive.\nAnswer: d**(-31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(14\/3)*(-15358)\/(-26328)*88\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - j**2 + 24535*j - 73618. What is u(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c*w*x**3 - 3*c*w + 56*c*x**2 + c*x + w*x**3 - 2*w*x + 5*w - 8*x**3 - 4 wrt x.\nAnswer: 6*c*w*x + 112*c + 6*w*x - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -193053504, -386107009, -579160514, -772214019, -965267524, -1158321029?\n\"Answer: -193053505*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 47*z - 45*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213*f + 473*f = 220*f + 2836240. List the prime factors of f.\nAnswer: 2, 11, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from oohohoooohooooo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 7. Let m(s) = 4*s**2 - 9*s + 5. Let f be m(y). Let h = f + -110. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137775393271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/4*8\/(-6). Suppose 0 = y - 2, n*f - 2*y - 157 = 247. What is the highest common factor of f and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000437602569 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 404330201 (base 5) to base 16.\nAnswer: 18f7cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -370?\nAnswer: -368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x. Let t(n) be the third derivative of n**5\/60 - n**4\/6 + n**3\/3 + n**2 + 2*n. Give 5*b(m) - t(m).\nAnswer: -m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-120) + (-19)\/(-30).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1861*d - d**2 - 109*d**5 + 504*d**5 - 337*d wrt d?\nAnswer: 7900*d**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27910 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 433229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -48? (a) -3 (b) -0.2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4*y = -k, 0 = -k + 3*y. Suppose 80 = 4*u - k*u. Suppose -22 = -3*j + j. What is the remainder when u is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, z: 4, n: 1, b: 2}. What is prob of sequence nb?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(-10)\/p)**(4\/15))**(-16\/5))**14)**46 assuming p is positive.\nAnswer: p**(453376\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-435)\/(-18) + 6\/(-36). Suppose -1212 - 10164 = -q*r. What are the prime factors of r?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1348 + -1264. What is the greatest common divisor of d and 1092?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 736300049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -17*g**5\/20 + 491*g**2 + 55*g - 2. Differentiate l(o) wrt o.\nAnswer: -51*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 at least -327\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.287 + -0.787. Which is the nearest to -1\/2? (a) u (b) -2 (c) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7 and 0.056.\nAnswer: 7.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-1*(-2)\/(-12)). Let l = p - -29. Suppose 1 = -4*j + 9, -10 = -i - 3*j. Solve i*h + 1 = -l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 7:38 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -2*a + 3*m + 13, -12278*a + 0*m = -12277*a - 5*m - 23 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91624 is divided by 3430?\nAnswer: 2444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 10*q**2 - 8*q - 13. Let f be y(11). What is the third derivative of 38 - 18 + 25*u**2 - f - 17*u**6 wrt u?\nAnswer: -2040*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 15) in base 16?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -539*f - 669. Let x(l) = -2*l**2. What is p(x(j))?\nAnswer: 1078*j**2 - 669","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l**2. Give b(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnndznznznzn. Give prob of sequence dnz.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/52 and 22\/5?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 6:30 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -145143 + -11?\nAnswer: -145154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 + -0.7. Which is the second smallest value? (a) -4 (b) 0 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/15 and 1\/(2\/(-42)) - 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/((144\/(-20))\/3))\/(-5)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 33*o - 140. Let p be w(-37). Which is greater: p or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-5) - (-435)\/975) + (-6114)\/(-26). Which is bigger: 231 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, 102, 0.78, -467\/4?\nAnswer: 0.78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -69 + 2*k**2 - 20 + 39*k - 13 + 15 - 19. Let m be p(-22). Let v(o) = o - 1. Let q(l) = 6*l + 2. Determine m*v(s) + q(s).\nAnswer: 10*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -447*q**2. Let w(m) = -11*m**2 - 1. What is j(w(x))?\nAnswer: -54087*x**4 - 9834*x**2 - 447","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = -42*c + 37*c. What is the remainder when c is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 229793 and 11536?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -14\/30801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + 17. Let a be -1 + l - 3 - (0 + -3). Let h be ((-20)\/a)\/((-1)\/(-4)). Solve -v - 2*v = -h*n - 20, 13 = 3*v + 2*n for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1381, 11461, 38831, 92137, 180025, 311141, 494131, 737641?\nAnswer: 1050317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 3. Let u = 34 - 36. Let b(z) = -1. Give u*n(l) + 4*b(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 9*f - 36 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m**(-3)*m)\/m*m)**(-21))**31 assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 18 = 3*v, -2*k = 3*k + 3*v - 9. Let m be (-18)\/(-5) - 2\/(-5). Let a be (-18)\/(-8) - 1\/m. Solve h = -4*q + 11, k*q = -2*h - a*h - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**4 - 3*j**4 + 4*j**4 - 3*j + j**4 + 3*j + (-5 + 1 + 2)*(-j**4 + 3*j - 3*j) + j**3 - 625*j**2 - 203*j**4 + 625*j**2.\nAnswer: -199*j**4 + j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -15618 (base 11) to base 16\nAnswer: -5619","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 905 plus -11832?\nAnswer: -10927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199 a factor of 42960091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 + -41.4. Let g = 0.17 + w. What is g rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 12*k**2 - 20*k - 12. Let i = 84 - 70. Let o be t(i). What is the greatest common divisor of 20 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {l: 7, f: 4, w: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 2*x + 0*x)*(-x**2 + 2*x**2 + x**2)*(2 + 0 + 0).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 54401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15, 41, 193, 489, 977, 1705, 2721, 4073?\n\"Answer: 8*h**3 - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(66) + 2*sqrt(66)) - (sqrt(66) + sqrt(66)*-1)*6)\/(-4*sqrt(6)*1 + (sqrt(24) + sqrt(6))*3).\nAnswer: -6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6171, 6075, 5821, 5331, 4527, 3331, 1665, -549?\n\"Answer: -13*w**3 - w**2 - 2*w + 6187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 + 1421070*a + 168286662075.\nAnswer: 3*(a + 236845)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**6\/55 + h**5\/10 - h**4\/6 + h**3\/33 + 2*h**2\/11 + 1028*h + 1. Determine i, given that b(i) = 0.\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -z + 1. Let x = 5 + z. Suppose -4*n + 17195 = b, -2*n + 2*b + x*b = -8610. Round n to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8853.083 micrograms in nanograms?\nAnswer: 8853083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 + 106. Suppose -3*l - 5*n + 0*n = 45, -3*l - o = 2*n. Let f be 20\/(1\/l*2). What is f rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -604, 1, -0.01, -3, -0.3, -74?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 8:49 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 401 - 400.2933. Let k = -146.71 + 146. Let j = k + a. Round j to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1242 and 54.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2408 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-408)\/(-42) - (-4)\/14. Let i = g - 10. Solve i*u + 1 = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + -74.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/5 + 4\/5*i + 2\/5*i**2 = 0. What is i?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**2 + 19*t**2 + 4 - 3)*(6*t - t - t).\nAnswer: 56*t**3 + 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1482584699 rounded to six decimal places?\nAnswer: -0.148258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 350 - 348. Suppose 8 = -4*k, -16*z - s*k + 871 = -11*z. Calculate the highest common divisor of 105 and z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*n - 7. Suppose -n - 5 = -3*g. Let d(j) = 5*j**3 - 13*j + 12. Calculate the remainder when g is divided by d(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4203324.999972 - 4203355. Let h = 30 + s. What is h rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**3 + 128448*k**2 + 1374778935*k - 2750071686 = 0 for k.\nAnswer: -21409, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/66*((2 - 0) + 0)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.228485 to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sy when two letters picked without replacement from {s: 3, w: 1, a: 1, y: 10}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1879 to two dps.\nAnswer: 1.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 59 or 51?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 171*y - 1024. Let a be v(6). Solve -k - 7 = 0, a*x + 0 - 1 = k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164 = 27*i - 56 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 8*b**2 + 7*b + 13. What is the remainder when t(-6) is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -37. Let v(w) = -292. Let q(i) = -8*b(i) + v(i). Let j(a) = a - 44. Let u be (-6)\/5*20\/6. Give u*j(r) - 44*q(r).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25 and 2.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -2. Let p = 26 - 29.4. Let m = -0.4 - p. Sort m, -3, y in increasing order.\nAnswer: -3, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29ba9 (base 14) to base 13\nAnswer: 38352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llk when three letters picked without replacement from {l: 4, p: 2, u: 2, o: 1, k: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.58 + 0.7. Let i = -7.256 - 1.624. Let c = d - i. Is -0.1 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-510)\/(-68))\/((-12)\/(-8)). Solve c*p + 5 = 5*l, -5*p + l - 7 = -2*l for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -678.937 - -680. Let o = -461 - -461.307. Let y = o + i. Round y to one decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -112*u + 241. Let m be y(-16). Suppose -4*d + m = -4*g - 1015, -3*d = -g - 2288. List the prime factors of d.\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2663\/13 - 205. Suppose -278*n + 4*i + 23 = -275*n, -2*n - 2*i + 20 = 0. Put -1\/4, n, m, 4 in decreasing order.\nAnswer: n, 4, m, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 6*p**2 + 11. Let g be t(6). What is the greatest common divisor of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46930 divided by -5?\nAnswer: 9386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-42)\/(-12)*(-2 - -16). Let a = -49 + r. Solve 0 - 1\/2*v**3 + 1\/2*v + a*v**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -5\/4, -1, 0.1, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*a, 4*v - 29 + 9 = -a. What is the third derivative of 3*c**2 + 13*c**v - 3*c**2 - 2*c**2 - 2*c**2 wrt c?\nAnswer: 312*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -32\nAnswer: 5\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4335\/(-102)*(-536)\/(-335).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2020 - 20?\nAnswer: -2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8284397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j*j**(-1\/4)*j))**(-35)*j**(-3\/5)*j**3)**43 assuming j is positive.\nAnswer: j**(54739\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.46 - -0.56. Which is bigger: b or -6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 14*z - 77. Let q(v) = v**2 + z - v - 24 + 11. What is q(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 55723537*l - 19647104?\nAnswer: 55723537","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 4*g - 5*g)*(131*g + 304*g - 109*g + 619*g).\nAnswer: -5670*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -92159.885 and 0.14.\nAnswer: -92159.745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 4*m**2 + 2*m + 11. Let h be q(-4). Let p(c) = 3*c**3 - 5*c**2 + 5*c - 4. Let z be p(2). Let a(n) = -n + z - 16 + 11. Determine a(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 11:04 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*g - 1 = 0, 4*g = 5*o - g + 10. Suppose 0 = 7*l - 2*l - 10. Solve 2 = -l*v, -h = -5*h - v + o for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2000) + -4*-2*sqrt(2000))\/((sqrt(1210) + sqrt(1210) + (sqrt(1210) - 2*sqrt(1210)) + sqrt(1210))*5 + sqrt(1210)).\nAnswer: 90*sqrt(2)\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2053?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, a: 4, z: 6, k: 4}. What is prob of sequence zzz?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {r: 2, k: 7, s: 1, i: 1, n: 3}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1\/4, -21, -0.4 in decreasing order.\nAnswer: 1\/4, 0.2, -0.4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78333196 is divided by 220.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_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 w = 17.37 - 19.3. Let h = 1.930405 + w. Round h to five dps.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -t**5\/20 + t**4\/4 - t**3\/6 + t**2 + 2*t. Let s be ((176\/24)\/(-11))\/(2\/(-9)). Calculate l(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -16 - (-7 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/(7*3\/14).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -227.17\nAnswer: -45.434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -76. Suppose -1 = -3*l + 2*i, -4*l + 3*l + 4*i = 13. Suppose -3*q + 4*v = -32, -l*q + v = -38 + 3. Calculate the remainder when m is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1621880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -61, -3, -1.\nAnswer: -61, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.42 + -0.12. Let m = 241 - 234. Let y = t - m. What is the third smallest value in y, 2\/9, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**3*t**3 + 2149621*l**3*t**2 - 3*l**3*t + 2*l**3 + 34*l**2 - 1918*l*t + t wrt t.\nAnswer: 12*l**3*t + 4299242*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1708, -1714, -1730, -1762, -1816?\n\"Answer: -s**3 + s**2 - 2*s - 1706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4647, 4745, 4831, 4899, 4943, 4957, 4935, 4871?\n\"Answer: -y**3 + 105*y + 4543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 30*u**3 + u**2 + 4*u - 6. Let f be q(3). Let c = 1204 - f. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2536470 divided by -11?\nAnswer: 2536470\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 6*m**3 + 7*m**2 - 7*m. Let h = -18 + 13. Let d = -4 - h. Let x(z) = -z**3 - z**2 + z. Let i = 15 + -10. Calculate d*q(b) + i*x(b).\nAnswer: b**3 + 2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 1652568.\nAnswer: 6610272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -u**8\/336 - 5*u**7\/42 + 7*u**4\/24 - 2*u**3\/3 - 3*u**2 - 12. Find the second derivative of s(f) wrt f.\nAnswer: -20*f**3 - 300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 599817 a multiple of 1102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 728844.1 weeks?\nAnswer: 440804911680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((14\/546)\/((-25)\/(-30)))\/((-1)\/15).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - q**2 - q. Let u(h) = -4*h**3 + 2*h**2 - 12*h - 1. What is 2*p(l) + u(l)?\nAnswer: -2*l**3 - 14*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -319 + 323.196. What is p rounded to 1 dp?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1311 divided by -3\nAnswer: -437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1193 and 2.8?\nAnswer: 1190.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - 38. What are the prime factors of j - (-479)\/2 - (-6)\/4?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 10*o - 16. Let y be b(12). Let r be (-2 + 20\/y)*2. Calculate the greatest common divisor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -g**4\/24 - 4*g**3\/3 + 5*g**2. Let d be p(-10). Suppose 4*f + 0*h = -4*h + 96, d*h = 10. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*c = -10, -5*c - 1 = -3*z - 11. Suppose -1044 = -4*v - z*v. Calculate the remainder when v is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3560 divided by -5?\nAnswer: -712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -562\/539 + -38\/49. Which is the third biggest value? (a) 5 (b) -0.1 (c) g (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + 46*b - 57. Let w be r(-24). Let z be 15\/25*(1 + -3 + -3). Sort 4, w, z in ascending order.\nAnswer: w, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-1\/2))**(-24))**21)**(-12\/7) assuming y is positive.\nAnswer: y**1296","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.51 and -16.\nAnswer: -17.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4\/7 + 13\/35. Sort q, -1\/6, 1.\nAnswer: q, -1\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*b = -3*w - 23*b - 9, -4*b = 5*w + 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3304.\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 892223433.\nAnswer: 3, 99135937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) 0.12 (c) 293\/2 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 < -63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-2)\/(4*(-5)\/(-30))).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-12))\/(43\/4902*-95)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2040505821, 2040505822, 2040505823, 2040505824, 2040505825, 2040505826?\n\"Answer: h + 2040505820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-815)\/165 - -5)*6\/2. What is the nearest to 16 in 2\/21, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.157 rounded to zero dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 200976 divided by 6?\nAnswer: 33496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**3\/3 - 4*w**2 - 8*w + 5. Let f be g(9). Put -2, f, -0.9 in decreasing order.\nAnswer: f, -0.9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1178687283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxrt when four letters picked without replacement from {g: 2, r: 3, t: 3, i: 1, p: 1, x: 1}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1425 divide 8535003300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 844249 is divided by 34970.\nAnswer: 4969","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 368088 and 28.\nAnswer: 368088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1.8*958066\nAnswer: -1724518.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 9*t - 23*t - 37*t. Let n(v) = -10*v. Let r(z) = 4*f(z) - 21*n(z). Calculate r(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 * -15\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**3 + 4*w**2 - w - 1. Let l(x) = -3*x**2 - 11*x - 11. Let r(s) = s**2 + 3*s + 3. Let i(p) = 2*l(p) + 7*r(p). What is f(b) - 3*i(b)?\nAnswer: -2*b**3 + b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160, 105, 22, -83, -204, -335?\nAnswer: -470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = k + 1296. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9497 is divided by 72.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20052 (base 7) to base 16.\nAnswer: -12e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3766 and 20444.\nAnswer: 143108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-4)*(-529)\/(-4761). Factor q*j**2 + 0 - 1\/6*j**3 - 1\/3*j.\nAnswer: -j*(j - 2)*(j - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 2*m + 46, -5*m = 3*f - 2*m - 15. List the prime factors of (602\/f)\/((-15)\/(-60)).\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 608940, 2435573, 5479962, 9742107, 15222008?\n\"Answer: 608878*s**2 - s + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28\/(1456\/286)*(0 - -2). What is the third biggest value in f, 5, 3, 2, 4.3?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -11. Let l(m) = 2*m**3 + 5*m**2 + m - 4. Let g be l(i). Is g\/88 + 739\/11 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -979282175*a*j**3 - 240*a + 248619*j**2 wrt j?\nAnswer: -5875693050*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(-8*w**3 + 3*w - 3*w).\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x - 6. Let v be c(2). Which is greater: -27\/5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -16*(-7 + 570\/80). Sort -5, d, 4, -11, -7 in increasing order.\nAnswer: -11, -7, -5, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*t**3 + 25*t**3 - 69*t**3.\nAnswer: -13*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 808260974*n**2*w**3 - 394*n**2*w - n**2 + 3*n*w + 35*n - 4*w - 6 wrt w.\nAnswer: 4849565844*n**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-42 - -48) + 6\/(-2). Solve 4*n - 2*m - 10 = 0, 0 = -3*n - n - 5*m + r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*l - 44*l + 16*l = 3930 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1536*f - 21 = -1539*f, 4*f = -c + 102. What is the remainder when 507 is divided by c?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*v + 5*h = 24, 0 = -h + 4. Let q = 777\/13 - 6769\/130. Calculate the common denominator of (0 - v) + (-630)\/14 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17.3 - -16.27. Let g = -0.13 - j. Let a = 0.900044 - g. Round a to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m - 38947 + 38947.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 925.039 - 925. Round y to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*8*242\/1408?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 1 + 1)*(-3 + 1 + 0)*(3 - 1 + 4)*(9*b - 18*b + 4*b) as p + d*b and give d.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.21 - 13.21. Let q = f - -13.1. Let j = 11 + -7. Sort 1\/4, q, j in decreasing order.\nAnswer: j, 1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t**2\/9 + 488*t\/3 + 4272 = 0. What is t?\nAnswer: -1068\/11, -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -107 or -106?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/4 - 38*c - 148.\nAnswer: -(c + 4)*(c + 148)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -5840014 equal to -5840015?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12583659 is divided by 42227?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/30 and 79\/126?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 3*g - 4, -3*h + g - 3*g = -6. What is the smallest common multiple of h and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253216.\nAnswer: 2, 41, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 1374 - 699 - 673 - 332*u**2 in the form b*u**2 + y + x*u and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8712.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1064 + 2000 + 2215 = -137*z for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t = -25*t + 481. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p**12*p)\/p))\/(p**(-17)\/p))**(-4\/35) assuming p is positive.\nAnswer: p**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 77317148?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-8))\/(1*2\/240). Let u = d + 65. Solve 0 = u*g + 3 - 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1827 and 16.4606.\nAnswer: 30073.5162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 - 2*r + 2. Let q be l(2). Let a be 146\/4 - (-5)\/q. What is the highest common divisor of a and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157973*f**2 + 157960*f**2 - 315939*f**2.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 35 = -12*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 159 + -161. Let i(m) = -m**2 + 7*m - 9. Let k be i(6). Which is the closest to 0? (a) w (b) k (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*g**2 + 62 + 20*g**2 - 60.\nAnswer: -35*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2358514?\nAnswer: 2, 383, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/3535 and 3\/336835.\nAnswer: 2357845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -7, 5, 2\/9, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1218353 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 14 = 4, 4*j - 3*d = -2. Let g be j + 2 - 3 - 0. Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 6*m**2 + 4*m + 2. Let t be y(-4). Let n = -15 + t. Solve 0 = -4*z + n*b - 3, -z + 4*b = 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -997*f**2 - 5*f - 5. Let b(t) = -4*t**2 + t + 1. Determine -5*b(y) - l(y).\nAnswer: 1017*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, b: 3, w: 1, v: 2}. What is prob of sequence wbv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1358984083860 from 0.3.\nAnswer: 1358984083860.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 6, -2.\nAnswer: -2, 0.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 22774 = 4*d, -19*w = -5*d - 23*w + 28461. Let n = 10228 - d. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1260\/50)\/(-9)*(-5)\/1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246*g + 38038 = 2*a - 248*g, -5*a + 95119 = g. What are the prime factors of a?\nAnswer: 3, 17, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*l - 958 + 944 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(240)*-2 - sqrt(240))\/sqrt(6))\/(sqrt(8) + sqrt(128)*6 + sqrt(8)) + sqrt(1000)\/sqrt(8) + 2 + -5)**2.\nAnswer: -381*sqrt(5)\/13 + 86729\/676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.54 - -0.3. Let p = -4.76 + s. Which is the biggest value? (a) p (b) 0 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520350 (base 6) in base 8?\nAnswer: 121212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 11*o**2 + 15*o - 19. Let w be t(12). Find the second derivative of -39*h**2 + w*h**2 - 28 - 32*h**2 + 26 + 17*h wrt h.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (-10 + 5)) + (25 - (-3 - -4 - -2))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-1 + sqrt(20) - sqrt(20)) + 3*(-1 + sqrt(20)))**2.\nAnswer: -84*sqrt(5) + 229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15569 + 6892*u + 15569 + 2*u + u - 4*u + (-4*u + u + u)*(-2 - 4 + 4) to the form s*u + r and give s.\nAnswer: 6895","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by 26?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddqdoqqoctdttdf. What is prob of picking 1 o, 1 t, and 1 q?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 2:19 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -107 - -169. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 335129512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*k + 23*k**2 + 5*k + k + 1 to d*k + s + w*k**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 426448 + 823*z - 426448.\nAnswer: 823*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 6*x = -22. Let h = x + -19. Suppose h*b - 5509 = -4*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a. Let j(n) = 1920 - 1000 - 3249*n - 920. Give x(j(o)).\nAnswer: 6498*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52397775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 1\/6*g**3 - 1\/60*g**5 - 46*g**2 + 0*g + 0*g**4 + 0. Let v = 5 - 8. Let s(u) = -4*u**2 - u + 5. What is v*o(i) + s(i)?\nAnswer: -i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 15 + 0 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -98937521 take away 16?\nAnswer: -98937537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4 - 2. Let s(j) = -6*j**3 + 11*j**2 - 26*j + 11. Let q(w) = -w**3 + 2*w**2 - 5*w + 2. What is g*s(o) + 11*q(o)?\nAnswer: o**3 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 6 - 11 - 36*m.\nAnswer: -36*m - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 167589752 divided by 3808858\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 6 = -c. Let t(f) = -f**2 - 7*f - 8. Let o(r) = 2*r**2 + 14*r + 16. Let l(n) = 3*o(n) + 5*t(n). What is the units digit of l(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 602 + -562. What is the smallest value in -0.5, 2\/9, f, 2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (1 + (9 - 15)) - (6 - 4)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1912964*v**4 - 15213*v**2 - 49*v wrt v?\nAnswer: 45911136*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -36*h**2 + 103*h**2 - 34*h**2 - 23*h + 21*h + 4 - 34*h**2. Suppose 0 = -4*q + 6*q + 10. What is b(q)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t**2 - 2 + t**5 + 5*t**2 + (0*t**2 - 4*t**2 + 2*t**2)*(2*t**3 + 9*t**3 - 12*t**3).\nAnswer: 3*t**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 - 4. Let t be q(-2). Is 160\/3 - t\/12 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 904 = 54*g + 62*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9.2*-53\nAnswer: -487.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 229414 divided by 2\nAnswer: 114707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23931 - 12130. What is the ten thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i - 49. Let r(v) = 2*v - 817. Determine t(r(j)).\nAnswer: -2*j + 768","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -118370 to the nearest one thousand.\nAnswer: -118000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 12\/7*i + 3\/7*i**2 + 12\/7 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1036.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*f = 2*d + 4, 4*f = 5*d + 2. Let r be 5 + d*(-6)\/24*4. Solve r*v = 11 + 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 35 = -53. Let v be (f\/33)\/((-5)\/(-15)). Solve -15 - 1 = v*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15938*v + 720*v**2 + 15938*v as a*v + b + d*v**2 and give d.\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72361508 = 10*w + 32548492. What is w rounded to the nearest one hundred thousand?\nAnswer: -10500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -n**5\/60 - n**4\/6 + 7*n**3\/3 - 4*n**2. Let a be t(-6). Suppose a*v - 56 = -0*v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + (-4)\/((-4)\/(-3)). Let t be (-5 + 1)*(-1 - a\/3). Calculate the remainder when 2*17*(-2)\/t is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5a671 (base 16) to base 2.\nAnswer: -1011010011001110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7145 - 4282. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.056 and 0.3.\nAnswer: 0.0168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z - 5. Let h be l(-4). Let w(v) = -4*v**2 + 40*v + 8. What is the lowest common multiple of (-44)\/h*(-3)\/2 and w(10)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 404 + -389 - (0 + 2 + (17 - -42)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2069295 divided by 9715?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(96\/(-16) - -41).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-15)*(-14)\/(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-21)\/(l\/l**(2\/9)) assuming l is positive.\nAnswer: l**(-196\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.819 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -1.2. Let w = -3.2 + r. Which is the third biggest value? (a) 4 (b) w (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5, -30, -79, -164, -297?\n\"Answer: -2*l**3 - 11*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2 + sqrt(1584) + 0)*5 + (sqrt(1584) + sqrt(1584) + -2 + 0 + 0)**2*-4.\nAnswer: -25345 + 444*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -40*z - 4. Let l(f) = f - 1. Determine -2*l(w) + n(w).\nAnswer: -42*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*r, -5*y + 4*y - 2*r + 114 = 3*y for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) 2\/5 (b) 0 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s**2 - 96*s + 1649. Calculate g(13).\nAnswer: -613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**5)\/s)**(-38)*(s*s**5)\/(s\/(s*s**(-3\/11)*s)) assuming s is positive.\nAnswer: s**(-2016\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-20) + 3\/(30\/(-58)). Let u be 0 - (48\/k - 0). What is the derivative of -15 + u - 21*q + 10 + 0*q wrt q?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 0.7. Let i = 2.784 + 0.216. Which is the closest to -2? (a) l (b) i (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-9)\/12*(-8 - -10)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y**4 - 50*y**3 - 60*y**2 + 360*y = 0.\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/1008 and 97\/5688.\nAnswer: 79632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 11*i - 325. Let b be a(39). Is b equal to 109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.463, 1, -2\/5, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j**2 - j**2 + 7*j**2)*(-j**2 + 49*j**2 - 5*j**2) + 0*j**3 + 0*j**3 + j**4 to y*j + x*j**3 + q*j**2 + r*j**4 + c and give r.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -794 - 1495 = 115*j - 449 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5636694*v**4 - 17482*v**2 + 218*v.\nAnswer: -135280656*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.028 - -0.328. Which is the fourth biggest value? (a) 0.04 (b) 1\/5 (c) -3 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59886 + -42018. Suppose 3*i + 4*o - f = 18083, -3*i + 5*o = -35933. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s**2 + 4*s - 1. Let f(l) = l**2 + l + 1. Let u(w) = 3*f(w) - v(w). Let h be u(-3). Let q = 4.91 + 0.09. Put 3\/2, h, q in descending order.\nAnswer: q, 3\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k - 5. Calculate l(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1846 and 781.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 11:40 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = i - 24. Suppose 0 = 3*t + 3*f - i, -t - 1 = -2*f - 2. Suppose 2*a - 2*j - 14 = 0, 5*a + t*j - 7 = 36. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.9 - 0.1. Let p = -3 - l. Let r = -22 + 23. Which is the smallest value? (a) 3\/4 (b) p (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -188*a - 354 wrt a?\nAnswer: -188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5142 and 356512.\nAnswer: 1069536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 383581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7\/3, -2\/3, -10?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26822 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-126)\/(-9))\/(-2 + 4)*2\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + 2. Suppose -10 - 22 = -2*s - 4*f, 1 = -4*s + 5*f. Calculate the least common multiple of y and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 21*m + 8. Let t be i(-12). Let b = 28 - t. Is b a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 415*y - 3*s = 411*y - 6, -5*y = 5*s - 10. Which is the second biggest value? (a) -3 (b) 1.2 (c) y (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 32805936 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**3\/4 - 59847*d**2\/4 + 895445775*d\/4 - 895385929\/4 = 0?\nAnswer: 1, 29923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -0.07, 4, -5 in decreasing order.\nAnswer: 4, -0.07, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 36, 4, 21, -3 in descending order.\nAnswer: 36, 21, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 197533 - 125056. What is the thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.5 + -3. Suppose -5*j + 20 = 0, y - 4*j = 4*y - 61. Suppose -y = -5*i + 8*i. Which is the nearest to -0.2? (a) 0.4 (b) w (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -129.7 - -130. What is the nearest to -1 in -2\/15, -0.3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - d = 247, 0*i - 121 = -2*i + d. Let z = 90 - i. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 5*p - 42. Let n be 24\/p + (-2)\/(-1). Let q = 0.69 - 0.19. What is the closest to 0.1 in n, -2\/3, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 21, 68, 99, 114, 113?\n\"Answer: -8*j**2 + 71*j - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5399737463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 16. Which is greater: 90\/11 or x?\nAnswer: 90\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5 + sqrt(1008) - (-3 + -3*sqrt(63))).\nAnswer: 8 + 21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19281917?\nAnswer: 61, 316097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*42\/224)\/((-1)\/8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**3\/11 + 400*w**2\/11 + 398*w\/11 = 0. What is w?\nAnswer: -199, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 7*j**2 - 4*j - 14. Calculate m(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 12 = -b, 205*b - 204*b = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 72086796 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10899 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -101155\/12 + 8430. Let r(m) be the first derivative of 5\/6*m**2 + 0*m - c*m**4 + 22 + 0*m**3. Find s, given that r(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18655\/2132*(4 + 0).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 p, and 1 m when three letters picked without replacement from {s: 2, f: 1, g: 1, p: 1, m: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 382880723?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 78855733?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 11:33 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -5. Which is greater: s or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.13, -3, 1\/9, 3\/16 in descending order.\nAnswer: 3\/16, 1\/9, -0.13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**3 + 17*r**3 - 3*r**3.\nAnswer: 18*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*-2*-3 - (sqrt(110) + (sqrt(110) + sqrt(110)*-2 - sqrt(110)) + sqrt(110))*-3)\/(1*sqrt(1440)*4).\nAnswer: sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*a + 1021 = 0, 15*a - 16*a - 2078 = -2*s. What is the hundreds digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = r - 31, -1951*r + 3*n - 9 = -1950*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 240025 to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -321*v**3 + 3*v**2 + 4*v + 2. What is the hundreds digit of i(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/5)*h\/h**(1\/11))\/(h**(-4)\/h**(-3))*(h**(-2\/3)*h**(-2\/11)*h)\/(h\/h**0)**(-2\/121) assuming h is positive.\nAnswer: h**(5222\/1815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 19, -2, -4, 11\/3?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*u = 10 + 114 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 - ((31 - -10) + -7).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 95.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5*3*sqrt(1900) + (sqrt(1900) + 0)*2)**2.\nAnswer: -1605500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182*p - p**3 - 167*p - 169*p + 518*p.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from boojtbboobojbjsoszz. What is prob of picking 1 s and 1 j?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 92, 83, 70, 53, 32?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80456 and 73336.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 958?\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*b)*(0 - 3 + 2) - 3 + 3 + b - b + 3*b + 0*b + 241*b - 301*b + 1 + 1.\nAnswer: -59*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27805 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10101001110 (base 2) to base 15\nAnswer: -608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-3)\/7*8\/24\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 9*r**2 + 12*r - 4. Let d be y(-7). Let p be ((-16)\/12)\/((-4)\/30). What is the highest common factor of d and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/((-12)\/8) - 11. Is y < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 6*b + 17*b - 5*b - 5 + 0. Let y be p(-7). Let j = y - 7. Is -5 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -9. Let r = -2.4 + u. Let j(x) = x**2 + 8*x - 3. Let c be j(-8). What is the closest to 0.1 in r, c, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 17. Determine t(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -222561, -890319, -2003249, -3561351, -5564625, -8013071?\nAnswer: -10906689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 999263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xr when two letters picked without replacement from rrresssxer?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -450*g**2 + 72. Let b(a) = -31*a**2 + 5. Let j(k) = -72*b(k) + 5*s(k). Let q(c) = -3. Let t(y) = 3*y + 9. Let z(i) = 3*q(i) + t(i). Give j(z(v)).\nAnswer: -162*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6945826931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y - 34. Let u(w) = 264 + w - 110 - 6*w - 2*w - 87. What is 5*o(r) + 3*u(r)?\nAnswer: -r + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79 - 74. Suppose 0 = -3*t + k*t, -4*c + 104 = 5*t. What is the highest common divisor of c and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 29*r + 37. Let x(o) = o**2 - 28*o + 37. Let v(j) = -6*x(j) + 7*y(j). What is the first derivative of v(g) wrt g?\nAnswer: 2*g - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -12*s. Let n(z) = -2171*z - 12. Calculate n(h(w)).\nAnswer: 26052*w - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-3 + 4)*2895 - (-2 + 10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 2\/107, -2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 678 times -7\nAnswer: -4746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*w - 84 + 84 + 240*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/((-1)\/4*-4). Suppose h = -10*x + 13*x. Suppose x = -q + 4*j + 22, -2*j = q - 0*j - 46. Calculate the highest common divisor of 19 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6288864\/407 or 15452?\nAnswer: 6288864\/407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 15*d**2 + 13*d + 9. Let p(u) = -7*u**2 - 6*u - 4. Let m(t) = t**3 + 7*t**2 - 27*t + 4. Let q be m(-11). Let y = q + 170. Calculate y*p(j) - 6*b(j).\nAnswer: j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**5 + 5*n**4 + 3327*n**3\/4 - 2515*n**2 + 1889*n - 420 = 0.\nAnswer: -28, 1\/2, 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -100*x**3 + 91*x**2 + 70*x + 4409. Let m(q) = -33*q**3 + 32*q**2 + 24*q + 1470. Let p(y) = 6*i(y) - 17*m(y). Differentiate p(k) wrt k.\nAnswer: -117*k**2 + 4*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 689.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 5) + 1\/1. Let p be f + -1 + (0 - 1). Is (-5 - p)\/((-4)\/46) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103810?\nAnswer: 2, 5, 7, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -277*s**4 - 601*s.\nAnswer: -3324*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*x + 83 = -2*x, 3*x - 153 = -2*f. Suppose 5*r + 23 = f. Suppose 3*u + r - 32 = 0. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12720 + 12722.25. Which is smaller: 1\/4 or p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1458\/(-1620))\/(-2 - 44\/(-10)). Let o = -0.2 + -0.3. Which is the closest to 21? (a) -1 (b) o (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 976 and 488.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36? (a) 2\/7 (b) -5 (c) -4\/3 (d) -3\/53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 691, 1384, 2077, 2770, 3463?\n\"Answer: 693*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 528 and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + 71. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -217915 + 217907.29432. Let p = t - -7.7. What is p rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.429 - -2.84. Let z = x + -0.011. Let d = 0.31 - -2.69. What is the biggest value in d, -5\/7, z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 324131 + -325314?\nAnswer: -1143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 578 + -588 + -3 + -1 - (8 - (-3 + 1)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 2. Let g be ((-2)\/3 + 2)\/(10\/(-6)). Let h = g - -1. Which is smaller: h or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2\/7 - 252706*z\/7 + 505404\/7 = 0. What is z?\nAnswer: 2, 126351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.611108ml to litres.\nAnswer: 0.000611108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 2:06 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 957097 to the nearest integer?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 534918536.\nAnswer: 2, 66864817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 129.207232 + -129.2. Round u to 4 dps.\nAnswer: 0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**2 - 15046*f\/3 + 20072\/3 = 0.\nAnswer: -2509, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand l + 0*l + l + (3*l - 5*l + 4*l)*(1 - 2 + 3) + (0*l - 3*l + 5*l)*(2 + 0 - 1).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 5*v**2 + 2*v - 3. Let w be b(-4). What is the third derivative of -3*l**2 + 4*l**2 + 4*l**w - 2*l**5 wrt l?\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 11:33 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(15\/7))**(-10) assuming n is positive.\nAnswer: n**(-220\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 - -88. Let s = 34 - q. Suppose 0 = 2*x - 2*z - 26, -x - s*z + 33 = -0*x. Solve -3*y + f - x = 4*f, -4*y = -3*f + 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -547 - -1627. Let d = z + 647. Differentiate -17*l**3 - 10 - 1727*l + d*l wrt l.\nAnswer: -51*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6302847073 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 21 and 6.2.\nAnswer: 27.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(-6)*h**(-2\/19)\/h*h**4*h*h**(-4) assuming h is positive.\nAnswer: h**(131\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -319701939, -319701937, -319701935, -319701933?\n\"Answer: 2*i - 319701941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 290 divided by -58\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3191438 + 5.\nAnswer: 3191443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3340322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -22785 and -4.\nAnswer: -22789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (483\/(-364))\/(-23)*24\/9.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2 + 108*h**2 - 380*h - 4*h**3 + 10*h**2 + 3*h**3 wrt h.\nAnswer: -6*h + 236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**2 + 39656*o - 118932 = 0. What is o?\nAnswer: 3, 9911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 12212 (base 3) to base 8\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7, 346, 939, 1772?\n\"Answer: 120*l**2 - 7*l - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46645.\nAnswer: 5, 19, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -0.132.\nAnswer: 0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 58, 177, 380, 685, 1110, 1673?\nAnswer: 2392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30718\/313 equal to 97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, s: 1, x: 11, w: 4}. What is prob of picking 3 w and 1 x?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 111760\/13239 + 4\/1471. What is the common denominator of -47\/8 and v?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -209 + 252. What is the highest common factor of 344 and m?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*y + 4 = -l, 5*l + 2*y + 5 = 0. Let m = -2469 + 2471. Solve 7 = 2*g - 2*f + 5*f, -m*g - l = -5*f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 239749330 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*z + 14 - 14)*(1446*z - 641*z - 667*z) to g*z**2 + a + l*z and give g.\nAnswer: 2208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -11*j**3 + 6*j - 2. Let c(k) = -4*k**3 + 2*k - 1. Calculate -8*c(g) + 3*t(g).\nAnswer: -g**3 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**3 - 2*f**2 - f + 5. Let d be m(-4). Let o = 206 + -137. Suppose -2*l = o - d. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48883, -97774, -146665, -195556, -244447?\nAnswer: -293338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 10\/4)*4. Suppose 3*f = -w + 5, 0*f + 2*w - 6 = -j*f. Let b = 26 - 180\/7. What is the nearest to b in f, -3, -1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 25*j - 2. Let k(r) = 2001*r - 161. Suppose -4*x - 306 = -4*a - 310, 4*a = 5*x - 7. Determine a*k(g) - 161*s(g).\nAnswer: -23*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z = -15*z - 18. Suppose -7*d + 11 = -z*d. What is the highest common factor of 253 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven sixths of a day?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.606558 + 26?\nAnswer: 24.393442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00048624 rounded to 6 decimal places?\nAnswer: 0.000486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3982, -15537, -34796, -61759, -96426, -138797?\n\"Answer: -3852*w**2 + w - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/(-24) + 2\/4. Suppose c + 4*c - 3*b - 9 = 0, 0 = o*c + 2*b + 6. Solve -3*s + t + 3 + c = 0, -4*t - 12 = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k + 10. Let g be n(-15). List the prime factors of g\/2*16\/(-5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 265 (base 8) to base 13.\nAnswer: 10c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/3132206 and -27\/602.\nAnswer: 3132206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.9528354 years?\nAnswer: 11.4340248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 22012?\nAnswer: -22101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1855, 3007, 4159, 5311?\nAnswer: 6463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -11. Let z be (-7)\/14*(126 + 0)\/3. Let p(i) = -i**3 - 21*i**2 - i - 20. Let d be p(z). What is the highest common factor of q and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 193*h - 6020. Calculate u(29).\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -108 + 118. Suppose 108 = 3*f + f. Calculate the remainder when f is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -184.6*0.1\nAnswer: -18.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 4*m**2 + 86*m - 342. What is u(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1883, 3767, 5651, 7535, 9419, 11303?\nAnswer: 13187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*v - v, -4*h + 5868 = -4*v. Suppose 8*u + 353 = h. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -e12d75?\nAnswer: -e12d7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*x - 105*x - 36 = 0. What is the lowest common multiple of 6 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mdddkdpmhipp. Give prob of picking 1 d, 1 k, 1 h, and 1 m.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1778703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.06806 and 19?\nAnswer: 19.06806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 149*w**2 - w - 1474.\nAnswer: 298*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -30, -111, -246, -435, -678, -975, -1326?\n\"Answer: -27*w**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8431, 8430, 8429, 8428, 8427?\nAnswer: 8426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 9*y + 20. Determine a(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/2*((-36)\/8 + 3)\/((-123)\/(-2542))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4394 (base 15) to base 11.\nAnswer: a833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -9*r**5 + 934*r**4 - 9917*r**3 + 15228*r**2 - 4396*r - 1840 = 0?\nAnswer: -2\/9, 1, 10, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/15)\/(1\/30*3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 d, and 1 m when four letters picked without replacement from mddrrrdmrr.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -17860*j - 53641. Give l(-3).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29.27 + 29.2666826. Round w to five dps.\nAnswer: -0.00332","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -983 - -990. Let x = 0 + 2. Solve -3*t + 3 = 3*u, -x*t + u + 0*u = q for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2*p - 14, d - 25 = 4*d + p. Let u = d + 13. What is the third derivative of 2*b**5 + 2*b**2 - u*b**2 + 4*b**2 wrt b?\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 836, -3 in decreasing order.\nAnswer: 836, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -17*t**6\/30 + 2*t**4 - 29*t - 39. Let v(x) be the first derivative of d(x). Find the third derivative of v(b) wrt b.\nAnswer: -408*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*a - 11 + 11.\nAnswer: -22*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**3\/23 + 27868*u**2\/23 - 528806*u\/23 + 21780 = 0. Calculate u.\nAnswer: 1, 18, 13915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 68 + -73. Let r(l) = -l**2 - 3*l - 2. Let k be r(c). List the prime factors of -35*20\/k*3.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3920 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*i - 3633 - 8535 = 0. Calculate the highest common divisor of 26 and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 r when two letters picked without replacement from qrrqqqqqrqgrqq?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -417, -423, -433, -447?\n\"Answer: -2*i**2 - 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 19*j**5\/5 - 94*j**2 + 2*j - 1610. Find the second derivative of d(t) wrt t.\nAnswer: 228*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -315.024101 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12.8 + 0.2. Let d = -15 + c. What is the closest to d in -3\/4, -0.1, 1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 444126382.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2511 (b) 4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 g when two letters picked without replacement from gggggggi.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, m: 5, t: 1}. Give prob of sequence tmlm.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**2\/2 + 195679*b + 38290271041\/2 = 0.\nAnswer: -195679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in 5, 1, -2\/7, -4\/25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 67*d**5\/20 - 33*d**3\/2 - 159*d**2. What is the derivative of p(t) wrt t?\nAnswer: 402*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*r = -s + 15, 2*s + 3*r - 6 = 0. Suppose -d + 249 = 4*p, -s*p - 4*d + 0*d = -203. What are the prime factors of p?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 106, 6\/7, -5, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (247\/(-418))\/(832\/(-128)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3056 and 19906.12.\nAnswer: 19905.8144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*l**4 - 3*l**5 + 12*l**4 + (-9695 + 4801 + l - 4*l**2 + 4849)*(0*l**3 - 2*l**3 + l**3).\nAnswer: l**5 - l**4 + 45*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q\/q**(3\/7)*q)*q)\/(q\/(q\/q**(-1\/7))))\/((q\/(q*q**2\/q*q))\/q*q*q**(-5)) assuming q is positive.\nAnswer: q**(46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000578139 rounded to 5 decimal places?\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*b**4*b\/(b*b\/b**39)*(b**3)**38 assuming b is positive.\nAnswer: b**158","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sga. Give prob of sequence ga.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 3, 4.4, 2, 8, -1 in increasing order.\nAnswer: -1, 4\/5, 2, 3, 4.4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46223\/1188 or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 13d?\nAnswer: 13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*n + 8 = 0. Let x = -2\/51 + 328\/561. Let k = 0.2 + -0.5. Sort n, x, k in descending order.\nAnswer: n, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/6)\/((-8)\/52*1638\/(-2268)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 k when two letters picked without replacement from kmrkk.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 101 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2680319391 + -1054?\nAnswer: -1056.2680319391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -22. Calculate the remainder when 61 is divided by n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 + 58. Let b(k) = -5 + k**2 + 7*k + 12 - c. What is b(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1858.33996 and 0.85997.\nAnswer: 1859.19993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 342422?\nAnswer: -342423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2503*z - 2 - 22 + 6 + 2413*z wrt z?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 15651362?\nAnswer: -15651362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/(-3))\/(2\/6). Let h = 0.27 - -0.03. Let s = 178 + -180. What is the nearest to -0.3 in u, h, s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 692824879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(468) + sqrt(468) + -3 - (0 + sqrt(468))*6)**2.\nAnswer: 96*sqrt(13) + 7492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, y: 6, i: 2, e: 6}. Give prob of sequence yy.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 22*h**2 + 144*h - 33. List the prime factors of f(-7).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -0.81\nAnswer: 0.243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/60*225\/(-90)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 3*j - 32, -2 = -0*j + 2*j - 2*c. Let z = -14516 + 14788. Calculate the highest common divisor of j and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 11*s - 32. Suppose -4*h = 3*g - 65, -g - s*h + 8 = -17. Suppose -72*i + 67*i + g = 0. Solve -5*q = 0, -y + 2*q + i = -0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/9)\/(20\/(-80)*-2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -440 - -3964\/9. Let r = -0.03 + 0.53. Which is the second biggest value? (a) 8 (b) x (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-14)\/(-10) - 1) + (-556)\/(-10). Let i = o - 55. Solve v + 0 = -i for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 827 take away 5?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 967007942 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*h**4 - 28*h**4 - 28 + 11*h**4 + 73*h**5 - 3*h wrt h.\nAnswer: 1460*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 79.\nAnswer: 3\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -101002 (base 3) to base 13\nAnswer: -17c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 1. Let o(y) = y**2 + 4*y - 1. Let g(d) = 0 + 4*d - 7*d - 13. Let l be g(-6). Suppose l*v - x = 0, -20 = 5*x - x. What is v*o(j) + 2*b(j)?\nAnswer: -j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -4\/16176497?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 5*y + 2. Let i be h(5). Let v = -17 - -9. Let f = 23\/3 + v. Which is the closest to f? (a) 2\/7 (b) i (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -9. What is the closest to -3 in 0.5, y, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0061913 rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*t = 3*v - 5, 5*t = v + 14. Let p be 308\/363 + (-14)\/21. Which is smaller: p or v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 3. Let y be f(-3). List the prime factors of 3 + 11 + (0 - y).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -19002*h - 365. Is w(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2114 and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - (-8 - (0 - -4))) + -4 + 60.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*m - 116 = 0, 482 = 2*j + 5*m + 407. Calculate the highest common factor of 11430 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75798018 to the power of 1\/4, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5202 + 1020550?\nAnswer: 1026052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2877 divided by 411?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -a29?\nAnswer: -a28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 302\/34 - -3*6\/153. Suppose -5*k + 33 = -4*t, -l*k - 3*t + 45 = -5*k. What is the remainder when 88 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**2. Let j(v) be the third derivative of v**5\/60 - 7*v**2. What is j(h(y))?\nAnswer: 9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c*p**2*z + 57390*c*p**2 + c*p*z + 187009*c*z + 7*p**2 wrt z?\nAnswer: c*p**2 + c*p + 187009*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -817 (b) 3\/2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 4927.\nAnswer: -2\/4927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7724 - -0.2276. Which is the second smallest value? (a) -128 (b) p (c) 0.4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 0 + 0*l - 1\/2688*l**8 + 1\/160*l**6 + 1\/120*l**5 + 0*l**3 - 1\/420*l**7 - 5\/192*l**4 + 29*l**2. What is n in g(n) = 0?\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8179, 1, -0.104, -5\/3, 4?\nAnswer: -0.104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-6)*9\/(-2)*-1.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.9 (b) 6\/7 (c) -230 (d) -2\/5 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 751641.48893 take away -38?\nAnswer: 751679.48893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9c296 (base 16) in base 11?\nAnswer: -3a762a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1975, -2175, -2515, -3001, -3639, -4435, -5395?\n\"Answer: -w**3 - 64*w**2 - w - 1909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c + -18b?\nAnswer: -17c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -395 + 0. Let g = q + 329. Let b(z) = -36*z**3 + 33*z. Let h(o) = o**3 - o. What is g*h(f) - 2*b(f)?\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 - 19. Suppose -y - y = -r. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 61*q**3 - 4*q + 1. Let y(b) = -62*b**3 + 5*b - 1. Let j(z) = -4*h(z) - 3*y(z). What is j(1)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.8 (b) -3 (c) 4 (d) 1 (e) 17716\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 + 9604249*c + 28812738.\nAnswer: (c + 3)*(c + 9604246)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f**2 + 4*f. Let w be (-3)\/(-2)*8\/3. Let q(k) = 7*k**2 - 8*k. Let b(d) = w*q(d) + 10*a(d). Find the second derivative of b(t) wrt t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -6, 0*s = s - 2*p - 1. What is the fourth smallest value in -4, 1, -1\/4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-9\/5)*o**(-11)*o*o*o)\/(((o\/o**2)\/o)\/o)**(-4\/3))**(-30))**(-13\/3) assuming o is positive.\nAnswer: o**(-1794)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/68699 + 68701\/137398. What is the closest to -2\/7 in -13.25, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6496a (base 12) in base 7?\nAnswer: -1061620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 8*q**2 + 4*q + 12. Calculate z(-8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -688873*u = -688874*u - 2*c + 8, -3*u - 3*c + 6 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, z: 1}. Give prob of sequence znn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11129, -45190, -101957, -181430, -283609, -408494, -556085?\nAnswer: -726382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 32510203, 32510211, 32510219?\n\"Answer: 8*n + 32510195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -45*b - 53. What are the prime factors of a(-4)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/(-28) - (0 + 0 - -58). Let o = -28 - i. Suppose 0 = 3*w - o - 377. What are the prime factors of w?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w + 4. Let y be p(5). What are the prime factors of (-4)\/y - 65\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 222, 362, 416, 384, 266?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220470?\nAnswer: 2, 3, 5, 7349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 7*c - 2. Let l(f) = 4*f - 3. Let d be l(2). Does 6 divide n(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -55*v**2. Let d(j) = -2*j. What is d(i(o))?\nAnswer: 110*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, z: 1, o: 2}. What is prob of sequence zr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 4 = 0, -408*d + 405*d - 4*m + 1 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(125))**2 + 5 + sqrt(5)*2.\nAnswer: 2*sqrt(5) + 505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - c**2 + 7*c + 6. Let l = 3 - 7. What is the tens digit of s(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 250*r**2 + 1919 - 1919 + (-2 + r + 1 - 1)*(r + 5*r + 0*r).\nAnswer: 256*r**2 - 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 118888 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: Simplify ((p**1\/p*p)\/p)**(-1\/34)*p\/(p**(-7)*p)*p*p**(-3) assuming p is positive.\nAnswer: p**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8207 is divided by 1348?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (34\/51)\/((-2)\/9). Let i = -0.57 - -40.57. Let a = 39.5 - i. Sort a, -3\/5, t in ascending order.\nAnswer: t, -3\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lckeccccp. Give prob of picking 1 e and 1 k.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2203 = -616*q - 15229 - 2990 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20671, 25, -4, -5.\nAnswer: -20671, -5, -4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*h + 0*h + 5*h)*(2 - h**2 - 2) - 47938 + 47938 + 144*h**3)*(31 + 16*h - 31).\nAnswer: 2272*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 3:31 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 767 - 220. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 73 = -8*i - s, -2*s = 5*i - 76. Suppose -l = t + l, 5*t - 4*l - i = 0. Suppose 6 = t*n - 5*u - 55, 5*n - 235 = -4*u. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36209 + -36207. Which is the second smallest value? (a) -5 (b) g (c) 2\/9 (d) 0.5 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30129479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1427996\/(-14) - (-2)\/(-7)*1. Round q to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 6*v - 84. Let t be s(14). Suppose t = 16*c - 579 - 525. Calculate the remainder when c is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1061 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-42)*-2 + (-22630)\/12264?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.14 + -0.85. Let y = f + -0.01. Suppose 2*d = 2*r, -2*r - 1 - 7 = -4*d. Put y, d, -1\/8 in decreasing order.\nAnswer: d, -1\/8, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*n + 160 = 0, 10*v - 4*n - 130 = 5*v. Suppose 57*g - v*g - 38502 = 0. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14124 - 0?\nAnswer: -14124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 224 + -155. Suppose -6*r = -9*r + g. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*d)*(2*d + 2 + 7 - 5).\nAnswer: -4*d**2 - 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*f + 52 + 20, 3*o + 77 = -4*f. Let p = -17 - o. Suppose 51 = a + p*s - 6, -3*a + 126 = -3*s. List the prime factors of a.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -16*a - 81. Calculate c(-12).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33507215843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3 - 5*b**2 + 0*b + 4*b + b**3 + 0. Let n be (-2 - -1*7)\/1. Is x(n) 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 {k: 3, v: 5}. What is prob of sequence kkv?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*d - 2*a, 60*a = -2*d + 58*a - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 - -45. Suppose 6*g - t = -1. Let u = 4 - g. Solve -3*l - 2*o + 19 = 0, u*l = 6*l + 2*o - 24 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 - -0.8. Let l be 2 - ((-36)\/(-10))\/2. What is the second biggest value in 4, g, l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 39.72?\nAnswer: -39.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 572370 or -9?\nAnswer: 572370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -19?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -279566.4 times -35?\nAnswer: 9784824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.954 + -0.046. Sort -0.2, -1, i in increasing order.\nAnswer: i, -1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 299\/(-65) - (-3)\/5 - 3. Let i(u) = -2*u**2 - 15*u + 15. Let b be i(k). Solve 5*v - b = -2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -77*d**4 + 24507*d**3 - 50703*d + 13 wrt d?\nAnswer: -924*d**2 + 147042*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5 = 2*y + 9, -20 = -4*p + 4*y. Suppose 2*o - 16 = -p*o. Find the third derivative of 4*u**2 - 3*u**4 + 0*u**2 + 2*u**6 + 3*u**o wrt u.\nAnswer: 240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 956*r = 952*r + 336. Calculate the highest common factor of r and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -7, 1, 15816, -6 in decreasing order.\nAnswer: 15816, 1, -2, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + x = 89, 0 = 2*g + 3*x + 16 - 62. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 6*c**2 - 8*c - 3. Let h(d) = 4*d + 200. Let b be h(-51). Give z(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*d**2 - 8*d + 8*d + (-1 + 2*d - 1 + 3)*(d - 3*d - d) in the form s*d + r*d**2 + c and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 57.74136 tonnes?\nAnswer: 57741360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3899002 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1943*r**3 + 1896*r**3 - 3835*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*l - 5*k + 2*k, l + 5*k - 15 = 0. Suppose -z = 4*b - l*z - 528, -5*b - 4*z + 633 = 0. Is b a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b + 6*b - 94*b**2 + 90*b**2.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1812, 776, -260, -1296, -2332, -3368?\n\"Answer: -1036*c + 2848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 3 + 1 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**4 - 4*x + 4*x + (2 + 2 - 3)*(2*x - 2*x - 2*x**2)*(395 - 2*x**2 - 827 + 399) to v*x**3 + h*x**2 + c*x + d*x**4 + j and give h.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) 1 (c) 33 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*i + 5*z - z, -2*i + 2*z = -2. Suppose 7*a + 17 = 3. Let w be ((-18)\/(-2) - 11)*a\/(-4). Are i and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*y**2 + 21*y**2 + 11*y**2)*(27*y - 76 + 76)*(y - 4*y - 2*y).\nAnswer: -6075*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4234281 (base 9) to base 8.\nAnswer: -10513110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2043186?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f**2 + f - f)*(-2 - 1 + 1) - 2*f + 2*f - 2*f**2 + (3 - 4 + 0)*(3*f**2 + 3*f**2 - 4*f**2) to the form i*f + q + y*f**2 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and -75.\nAnswer: -825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*b**3 - 252*b**2 + 252*b**2.\nAnswer: 23*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -13e (base 15) in base 8?\nAnswer: -434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 27. Let a = -1.6 + 1.66. Let j = -0.16 + a. Which is bigger: s or j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 66*k - 540.\nAnswer: -2*(k - 18)*(k - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-8) + (-349)\/(-2). Suppose -a = -4*y - 54. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*g + 2*g = 87, d = 2*g + 117. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/1*1\/(-1). Let o(m) = 2*m**2 - 6*m - 27. Let r be o(7). Let f = r + y. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -10. Suppose -1 = 2*k - q. Suppose d = -4*i + 2*d + 9, -k*i = -3*d - 11. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16 + 2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 44103 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 5926 = -7781. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1246045680 and 6480.\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100011101111010100 (base 2) to base 4.\nAnswer: -2203233110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 131605\/2 bigger than 65803?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -2\/11, 2551, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/7, 122, 0.4, 4, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 5. Suppose 0 = -26*a + 4*a. Suppose -29*v + 16*v = a. Determine n(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 465*x + 8361. Determine a(-18).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -250471 times -1?\nAnswer: 250471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 533289?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 112 = 252. Let d = y + 257. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 31. Suppose 32*a - s*a = -165. Is -1 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20351 is divided by 20133.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(9\/(-6)*(-70)\/(-1365))\/(5\/(-20)).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3cb7 (base 13) in base 4?\nAnswer: 2021001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1087, 2175, 3265, 4357?\nAnswer: 5451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59 * -1341406.\nAnswer: 79142954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 7443?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -5*x + 17. Solve -5*f + x = -0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -108*u**2 + 122*u**2 - 678*u**2 + 251*u**2 - 872*u**2. Let a(c) = -4*c**2. Calculate a(q(r)).\nAnswer: -6604900*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 3624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 21490*b**2 + 3*b**3 - 4*b**3 - 10729*b**2 - 10763*b**2 - 4.\nAnswer: -b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**6\/48 - 7*v**5\/120 + v**4\/24 - 4*v**2. Solve g(s) = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 345 - 330. Suppose h + 135 = -2. Let i = h + 194. Calculate the remainder when i is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7 - 1. Let h = -57.5 - -58.5. Let q(o) = o**3 - 5*o**2 - o + 4. Let z be q(5). What is the nearest to h in z, m, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 11:45 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -7*o**2 + o - 9. Let w(z) = 6*z**2 - 2*z + 9. Let a(d) = -4*n(d) - 5*w(d). Let x = 654 + -655. Let s(y) = -y + 1. What is x*a(i) - 6*s(i)?\nAnswer: 2*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -i**4\/12 + 8*i**3\/3 + i**2 + 31*i - 7. Determine y(14).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104890 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5635 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 36\/8)*(-6)\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 0.5, -1\/9, -1\/2, -8938, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 234502 smaller than 4690013\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*n + n. Let w be (46\/(-5))\/(n\/(-60)*-2). Suppose -s - 171 = -0*d - 3*d, 0 = -d + 4*s + w. Is 0 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24910 and 120.\nAnswer: 298920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 3*z + 0 - 2 = 0, 0 = 2*z - 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3 - 1 = 0. Is 409\/m + 3\/(-4 - 8) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9369781.\nAnswer: 31, 409, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 15*p**2 + 22*p + 11. Calculate c(16).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 569, 4576, 15449, 36620, 71521, 123584, 196241?\nAnswer: 292924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 3, 2, 0, 61 in decreasing order.\nAnswer: 61, 19, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 9*i**2 + 10*i + 14. Let q be b(-8). Let t be q\/10 + (-793)\/(-65). Is 4\/t*21 - -1 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x + 9. Let o be c(-2). Let k(n) = 22*n**2 - 5. Let j(r) = -22*r**2 + r + 4. Let h(v) = -3*j(v) - 2*k(v). What is the units digit of h(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i + 2. What is b(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {d: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in eleven halves of a millennium?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a + 1. Let u(s) = -s. Let j(l) = h(l) - 2*u(l). Let t(b) = 8*b - 6. Calculate 12*j(m) + 2*t(m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 696, 3361, 9968, 22485, 42880?\n\"Answer: 328*q**3 + 3*q**2 + 360*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 457.78 - 434. Let y = -24 + i. Let r = 0.092 + y. Round r to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 33. Let j = -15 - o. Sort 2\/5, j, -5.\nAnswer: -5, 2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -3\/2*t**2 + 5 + 6*t. What is the remainder when 70 is divided by p(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - h - 1. Let t(u) = -u**3 - 5*u**2 + 6*u - 6. Let p be t(-6). Let v(k) = 7*k**3 - 6*k - 9. Give p*o(j) + v(j).\nAnswer: j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 30790 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3456 and 4.\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 2*l - 4*w + 1, 30*l - 50*l - w = 67*l - 446 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 80*k + 1752 = 13*k - 24*k for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 475661727.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -180856, -361692, -542518, -723334, -904140, -1084936, -1265722?\n\"Answer: 5*p**2 - 180851*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4574736153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**4 - t**4 + 3*t**4)*(t + 2*t - t) + t**3 - t**3 - 947*t**5 - 954*t**5.\nAnswer: -1897*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-4))\/((-1)\/6). Let a be n\/(-15) + 2 + 1. What is u in -2\/5*u**3 - 12\/5*u**2 - a - 24\/5*u = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 - 19. Let k = 20 - t. Let l(v) = 3 - 9 + k*v + 6. Let b(h) = 6*h. Calculate 5*b(x) - 14*l(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -i**4\/6 + 3*i**2\/2 - 8*i. Let o(y) be the second derivative of -y**4\/6 - 12*y. What is o(w(f))?\nAnswer: -8*f**4 + 24*f**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 66 = 5*p + 25, g = 3*p - 28. Factor 6*h**3 + 3*h - p*h - 12 - 16*h + 2*h**4 - 6*h**2.\nAnswer: 2*(h - 2)*(h + 1)**2*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 10 = -6. Let q be (-192)\/20 + h\/(-10). Let v = 11 + q. Solve 2*w - 1 - v = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 310832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 + 41576*l**2 + 166352*l + 166368.\nAnswer: -4*(l - 10398)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*x**2 + 4 - x - 5)*(16 + 4 + 2).\nAnswer: 44*x**2 - 22*x - 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -508, -12, -2\/7, 0.4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 512 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**4 + 3 - 3)*(80 - 7*t - 88 - 2*t).\nAnswer: 45*t**5 + 40*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4100*d - 4. Give k(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/1*4\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h. Let p(a) be the first derivative of 1\/2*a**2 + 0*a - 2. Calculate c(p(l)).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 119756 * -0.3\nAnswer: -35926.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 2*l**2 + 5*l + 2. Let p(u) = u**2 - 2. Let j be p(1). What is the smallest common multiple of x(-4) and (j - -10) + (-24)\/8?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1826.5404 to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 146303.8742 to the nearest one hundred.\nAnswer: 146300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 982932 is divided by 6925.\nAnswer: 6507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56996 + 0.22.\nAnswer: 56996.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/386 and -9\/8?\nAnswer: 1544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 79.793388 minutes?\nAnswer: 0.055412075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1515)\/105 - -15)\/((-4)\/(-2)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -6*(1 + sqrt(112)*-3 + 4))*5.\nAnswer: -150 + 360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55228 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 2*f + 3. Let o be z(-5). Suppose 326 - 300 = -13*d. Sort -1, d, o in decreasing order.\nAnswer: -1, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1334292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -7, -5, -3, -9 in ascending order.\nAnswer: -9, -7, -5, -3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 479\/95 - 111\/19. Which is the smallest value? (a) h (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 2*i + 0*i)*(1 - 1 + i) + (2 + i**2 - 2)*(-37 - 41 + 0) + 6*i**2 - i**2 - 2*i**2.\nAnswer: -73*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 26*x - 167. Let d be w(33). Calculate the greatest common divisor of d and 216.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 30752688?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 12 - -5) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -12 (b) -17 (c) -3\/2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59.4 or 57\/5?\nAnswer: -59.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -244547*t + 17. Let l(f) = -f**2 + 8*f + 4. Let n be l(7). Let c be d(n). Round c to the nearest 100000.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-three quarters of a tonne?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8\/((-12)\/(-3)) - -58 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23015 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*m**0)**44\/((m\/m**(7\/4))\/m**12) assuming m is positive.\nAnswer: m**(579\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ka when two letters picked without replacement from {a: 2, k: 6}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 542*p**2*r**2 - 13*p**2*r - 90*p*r**2 - 82794*p*r + 44*r**2 - 3 wrt r.\nAnswer: 1084*p**2 - 180*p + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -121, -164, -187, -184, -149?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence emb when three letters picked without replacement from {b: 1, v: 2, j: 1, m: 2, e: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-14)\/4)\/(2\/(-4)). Suppose 4*s - 28 = 2*s. Calculate the highest common divisor of c and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -762.0819589 rounded to zero dps?\nAnswer: -762","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 52\/5 of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1216*x**3 - 1216*x**3 - 1221*x**3 - 1222*x**3 + 6246*x**3 - 1366*x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2515448307?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 + 23*v + 15. Let f(j) = j - 13. Let m be f(2). Let x be q(m). Let y be 2*1\/(-1) - -4. Solve b - l = 5*b - 19, y*l - 18 = -x*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5226 or 5225?\nAnswer: 5225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-6)*(-96)\/(-600).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53 - 54. Put 5, 2\/21, 1\/17, l in decreasing order.\nAnswer: 5, 2\/21, 1\/17, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5487 by 2.\nAnswer: 5487\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(17\/5))**(-47)*(o**(2\/51))**(-5) assuming o is positive.\nAnswer: o**(-40799\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 14*i + 17. Let w = 25 + -19. Calculate the remainder when m(14) is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 8 + 14 - 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54500 to the power of 1\/2, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 3:30 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -196.77 + 199.4897. What is m rounded to 2 decimal places?\nAnswer: 2.72","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 0 (c) 129380.5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -217 + d3?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -13. Which is the nearest to g? (a) -1\/4 (b) 1\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29807.711 + 16.289. Let q = u + -29824.999984. Let m = q + 1. Round m to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2476 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 80960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11542106 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002832019409 to 7 decimal places.\nAnswer: -0.002832","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 smaller than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jllj when four letters picked without replacement from tiiljlvjiltlih?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1304053 rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 173628981*n**5 + 798180*n**2 + 55 wrt n.\nAnswer: 10417738860*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-99)\/15 - -6)*4230\/(-6 - -3). What is the greatest common divisor of 36 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) + 1 + sqrt(432) - sqrt(432)) + -5)**2*2*-1.\nAnswer: -896 + 192*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-10)\/w*w)**31)**(2\/27))**30 assuming w is positive.\nAnswer: w**(-6200\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8661 - 8648. Sort -22, f, 0 in ascending order.\nAnswer: -22, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b + 4a?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1222.\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 49, 1 in descending order.\nAnswer: 49, 28, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*((sqrt(85) - (sqrt(85) - (sqrt(85) + 3*-2*sqrt(85) + sqrt(85) + sqrt(85))) - sqrt(85)) + sqrt(85)))\/((sqrt(4320) + 1*sqrt(4320))\/sqrt(6))*2.\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*175\/(-10) + 0. Let u be 9\/6 - n\/(-4). Suppose -g = -2 - u. Calculate the remainder when g is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1891?\nAnswer: 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5149 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (184\/(-6))\/(-4)*7755\/2585.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162233 - 162448 = -43*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 (base 2) in base 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 13 and 4741.\nAnswer: 4754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 - (21 - 29 - 16 - (-10 + 0)).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 297374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4451 is divided by 388?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1003, 1926, 2849?\n\"Answer: 923*f + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 6685311?\nAnswer: 3\/2228437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7380\/225*(-5)\/(-2). Let h = 331\/4 - b. Let p be ((-2)\/(-3))\/((-10)\/6). What is the closest to p in -0.4, h, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -77 + 80. Suppose 3*j - 89000002 = 5*v + 2*j, -53400002 = d*v - j. Round v to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 16. Suppose 148 = 3*r + x*t, t + t = 4. Does 17 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/20*10\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 241 - 237. Solve -2*s - 4*k = -12, 5*k - j = 3*s - 11 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 9*c + 24. Let o be y(-11). Suppose -5*w - 2*a = a + 45, 5*a - 18 = 2*w. Let s(d) = -d - 3. Let v(z) = -5*z - 13. Give o*v(p) + w*s(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12913 is divided by 240?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 535330 - 4?\nAnswer: 535324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n - 29926 = -5*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g - 5. Let s(k) = -16*k + 16. Let v(p) = -10*b(p) - 3*s(p). Let c = 3 - 1. Let l(a) = -a**3 + 4*a**2 - 4*a + 3. Let w be l(c). Determine v(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1\/42 (b) -12.35 (c) -1.4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93 + -149. Let w be x\/(-10) + 12\/(-20). Suppose -l = -3*l - 2*f + 12, w*f - 15 = 0. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1428591032 to the power of 1\/2, to the nearest integer?\nAnswer: 37797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**4\/24 + 2*d**3\/3 + 6*d**2. Let h(b) = 1. Determine 12*h(x) - 3*q(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 944989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4\/9)\/k*k*k*k**9*(k\/(k*k**5))\/(k*k\/k**(-1\/5)))\/((k*k**(-2\/9))**(-31)\/(k**9*k*k**(2\/3)*k)) assuming k is positive.\nAnswer: k**(572\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21465458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 947.0475 years in months?\nAnswer: 11364.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 22 - 142*k.\nAnswer: -142*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 2760?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2497 and 2050718.\nAnswer: 22557898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 12. Suppose -3*w + 329 = -4*l, -10*w - u*l + 114 = -9*w. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/848 and 163\/653172?\nAnswer: 2612688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a kilometer in meters?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*b**3 + b**3 + b - 5 - 10*b**3 + 5*b**2 - 4*b**2 + 2*b as y*b**3 + x*b**2 + h + r*b and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3248.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate y**4 - 779*y**3 + 2428*y + 57705761 with respect to y.\nAnswer: 4*y**3 - 2337*y**2 + 2428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 17 - (2 - -5) - 5. Solve 4*m = -0*i + p*i + 11, -2*i + 14 = 3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*a - 2139743 - 2139744 - 2139748 + 6419235.\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (34968\/(-620))\/((-6)\/460).\nAnswer: 2, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 4)*((3*l - 2*l + 0*l)*(-5*l - 3*l + 6*l) + (-50*l - 79*l + 23*l)*(0*l - 3*l + 4*l)).\nAnswer: -324*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**2. Let w(o) = 610644*o. Determine y(w(v)).\nAnswer: -745772189472*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 26\/10 - 9?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22519380 divided by 7506460?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 11*j - 12. Let h be i(-12). Is 16 a factor of (36\/h)\/((-3)\/178)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jgz. What is prob of picking 1 z and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ltmz when four letters picked without replacement from {l: 5, z: 2, t: 1, m: 1, e: 1}?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 9874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**3 - 8*d**3 - d**3 - 12*d**3.\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*s + 3*n + 2*n, 2*n - 24 = -5*s. Suppose -5*l + 296 = 4*h, -h + 64 = l + s. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/2 + (-2)\/4. Let a = -9\/20 + 6\/5. What is the nearest to a in 0, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -39643, -39656, -39691, -39760, -39875?\n\"Answer: -2*d**3 + d**2 - 2*d - 39640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**2 + 18*y + 2. Let r be h(9). Suppose 269 = 4*u + s - 6*s, -4*u = r*s - 234. List the prime factors of u.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -80*w + 565. Let i be j(7). Solve 5*p + 9*k = 10*k + 20, 0 = -5*p - i*k - 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**7\/35 + 17*k**3\/6 + 23*k**2. Find the first derivative of z(x) wrt x.\nAnswer: 24*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j = -15 - 129 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116725 is divided by 35?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r. Let z be j(-4). Suppose -5*s = 5*k - 165, 5*k - 2*s - 193 + 28 = 0. Let f = k - 32. Solve z*a = -2*n, -4 = a + 3*n + f for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/7))**(-45)*a**(-8)\/(a*a**4)*((a*(a*a**(-15))\/a)\/(a**(-2\/3)*a))**(-1\/13) assuming a is positive.\nAnswer: a**(262\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**5 + 250*n**4 + 384*n**2 + 289*n + 30052 wrt n?\nAnswer: 20*n**3 + 3000*n**2 + 768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3 (b) -7 (c) -2\/3 (d) -5 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 - -95. Let l = 68 - m. Is l a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 334323420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28384, -56779, -85174?\nAnswer: -113569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*v + 23, -6 = -2*v - p - 0*p. Suppose 0 = -3*r - 0*r + 6, m = v*r - 6. Let y = -35 + 39. Solve -m*z = -0*z + y*o - 16, -3*z = -5*o + 20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + p - 1. Suppose 0 = 3*b + 12, 6 = 2*z - b. Let x(u) = u**3 - 4*u**2 - 23*u + 10. Let f(q) = z*w(q) + x(q). Does 15 divide f(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1*(1 + -1))\/(2\/(-1)). Suppose 3*f - 111 + 18 = h. Solve 0 = -5*p + 11 - f for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41899.\nAnswer: 11, 13, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*n, 4*n - 10 = 3*u - 40. Suppose 6 + u = 4*d. Factor d*a - 25*a**3 - 27*a**3 - 31*a - 16*a**4 - 4 - 60*a**2.\nAnswer: -4*(a + 1)**3*(4*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1. Let b(d) be the third derivative of -d**5\/30 + 11*d**4\/24 + 10*d**3\/3 - 4*d**2 - 6. Let i be b(7). Let v(x) = -x + 1. What is i*a(s) + 2*v(s)?\nAnswer: -2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -122467.\nAnswer: -4\/122467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 4*f**3\/5 - 2784*f**2\/5 - 11376*f - 57280 = 0.\nAnswer: -10, 716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 94393 and 1573.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 11*b + 11. Calculate i(-4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*t - 11 + 56*t - 169*t + 67*t.\nAnswer: 10*t - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 (base 4) in base 6?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273*u + 241*u = 32. Which is the nearest to 1? (a) -0.5 (b) -3\/5 (c) -202 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83.93 rounded to the nearest integer?\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 1 - 1 + 1 - 3 + 0 + (-8 + 3 + 3)*(-3 - 3 + 2))*(-16 + 21 + 12) + 2 - 2 + 1)*(7*u - 2*u - 3*u) as s + c*u and give c.\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 1:04 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -17. Suppose 0 = -b + s*b - 24. Solve -2*f - f = b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (24\/9)\/(4\/78). Let l be (2 + 8\/(-6))\/o. Let v = -23\/234 - l. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oaro when four letters picked without replacement from {o: 3, r: 1, a: 7, l: 3}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-6\/5))\/(k*k**(2\/21)*k)*k\/(k*k\/k**(-2\/7))*k\/k**(-2\/25))**(-2\/5) assuming k is positive.\nAnswer: k**(2626\/2625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 875, -860, -2595, -4330, -6065?\n\"Answer: -1735*g + 2610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**3 + 400*v**2 + 1252*v - 1648 = 0. What is v?\nAnswer: -4, 1, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-7319)\/(-52) - (-2)\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7278 + 7482.565. Let g = 204 - r. Let h = 4.265 - g. Round h to one dp.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*x = -23*x + 250. Sort 51, 2, x, -2 in descending order.\nAnswer: 51, x, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*x = 0. Suppose p - 3*p + 16 = x. Suppose -5*v - p = o, 5*o + 5*v + 0*v = 0. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o**3 - 1. Let b(j) be the second derivative of -j**4\/12 - 10*j. Determine v(b(d)).\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.765 + 270.565. Let p = o - 269. What is the closest to p in 2, -2\/5, -3\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 26. Let t(i) = i**3 - 4*i - 3. Determine t(p).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s**2 - 95*s + 28. Let p(r) = -3*r**2 + 37*r - 14. Give 2*d(h) + 5*p(h).\nAnswer: -5*h**2 - 5*h - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -1000*o**3\/3 + o**2\/2 + 6*o - 1. Let p be v(-6). Round p to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 221*s - 224*s + 5*n - 2471, -6*s - 4898 = n. Is s > -821?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -755*a - 51*a - 23272 - 62492 = 215*a for a.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*m - 32*m + 2*m**3 + 18*m.\nAnswer: 2*m**3 + 49*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1210*j**2*v**4 - 9*j**2*v**2 - 2*j**2*v - 11040*j*v**2 - 15*v**4 - 43*v**3 - 2*v**2 wrt v.\nAnswer: 29040*j**2*v - 360*v - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -170642, 3, 2 in descending order.\nAnswer: 3, 2, -1, -3, -170642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -231*z + 231*z + 10*z**3 + z**2 - 1. Let p = 3 - 2. Calculate u(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 12*l**2 + 11*l - 8. Let z be t(11). Let d(x) = -x**2 - 15*x - 9. Is d(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 90406.277750499 and 0.1.\nAnswer: 90406.377750499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -90*v**2 + 104555*v - 179800 = 0.\nAnswer: 31\/18, 1160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1400))\/sqrt(2).\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 7*q**2 + 2*q - 13. Let v be u(7). Let m = -27 + 18. Put v, -5, m, -4 in decreasing order.\nAnswer: v, -4, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*o - 84 = 640 + 452 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 9:00 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**20)**35\/(z**(2\/11)*z\/(z\/(z*(z\/(z\/(z\/(z*z\/(z**(-25)*z*z)))))\/z))))**(1\/44) assuming z is positive.\nAnswer: z**(3981\/242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/15*(-45)\/(-6). Let n be (-68)\/20 - (b + 1 + 2). Sort 0.5, 4, n.\nAnswer: n, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -52*d**6\/15 - d**5\/10 - 100*d**4\/3 - 9*d - 8. Find the third derivative of a(l) wrt l.\nAnswer: -2496*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -10*w**3 - 6*w**2 + 6*w - 5. Let o(r) = r**2 - r + 1. Determine -j(s) - 6*o(s).\nAnswer: 10*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-5\/8)\/(n\/(n**(-1\/22)\/n)) assuming n is positive.\nAnswer: n**(-235\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 749 divide 273155806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48530950 is divided by 16176977.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + sqrt(50)).\nAnswer: -12 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qlq when three letters picked without replacement from tqpqqppplpqqpqp?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 963.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) -0.26 (b) 1\/4 (c) -0.1 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s**2 - 2*s + 3. Let q(j) = -j**2 + j - 1. Let w(o) = o**3 - 8*o**2 - 9*o + 3. Let t be w(9). Determine t*q(a) + z(a).\nAnswer: 2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 202?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/2 + -2 + -1. Let a(l) = -l**2 - 2*l - 1. Let g be a(q). What is the units digit of -1 + 12\/3 + g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7187, -14365, -21535, -28691, -35827?\nAnswer: -42937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 62 = 4*i, 8 = 2*i + 2*g - 20. Calculate the least common multiple of 12 and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + r - 6. Let j be 18\/4 - 1\/2. Let y be c(j). Suppose y*a - 15*a = -28. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 9*z + 2. Let f = -62 - -71. Let g be w(f). Solve 3*p = -p - 3*v - 10, -3*v - g = 2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/((-10)\/32))\/(-1). Let q = h + 18. Suppose 0 = 5*o - 5*v - 385, -5*o + q*v - v + 393 = 0. List the prime factors of o.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18515 and 568675?\nAnswer: 3980725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 divided by 30?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2406*j - 5799.\nAnswer: -2406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14474 times 0.3?\nAnswer: 0.043422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32697.\nAnswer: 3, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10112, 20224, 30336?\n\"Answer: 10112*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = u - 65, -z + 9 - 6 = -3*u. Let n = -0.03 + 0.33. Which is the third biggest value? (a) n (b) u (c) 4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -104880 in 1\/2, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 1\/6 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -32400 (base 5) to base 7\nAnswer: -6326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k - 19 = -2*k + 3*i, -2*k + 3*i - 16 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 divided by 10?\nAnswer: -83\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = 5*w + 21*w. Let s be 4095\/(-22946) - w\/22. Which is smaller: 1\/4 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 75 = 3*f, 5*n - 29 = -4*f + 66. Let c be 1\/4*64 - 40\/5. What is the greatest common divisor of f and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (28\/742 - (-8767)\/(-583)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44071, -44114, -44189, -44302, -44459?\nAnswer: -44666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (63\/(-28))\/(6\/16). Let b = 0 - i. Let n(o) = 5*o - 6. Let c be n(b). Solve 9 = 5*u + c for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 17536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2699 or 2698?\nAnswer: 2698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 + 19 = 3*r. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7*r + 1 + 4*r**2 + 9 + 3*r**2 - 6*r**2. Determine n(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 3*o**2\/2 + 196*o - 8. Does 19 divide r(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o + 3*o + 3*o)*(-2 + 0 + 0)*(-5 - 19 - 9) in the form f*o + r and give f.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**4 - n**4 + n**4 + (-8*n**3 - n**3 + 2*n**3)*(5 - 31*n + 56*n + 61*n) to the form s*n**4 + a*n**3 + i*n**2 + t*n + y and give a.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23*x**3 + 34*x**2 - 7933.\nAnswer: -69*x**2 + 68*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**5\/60 - 2*q**3\/3 - 46*q**2 + 2*q. What is x(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 4*r - 5*u, -5*r - 3*u + 6 = 0. What is the hundreds digit of (-2 + (r - -5))\/(1\/22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102027712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1860 divided by 1?\nAnswer: 1860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 1:06 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -41*u + 146. What is the remainder when y(2) is divided by 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 1. Let s be (f\/(-5))\/(3\/90). Is -5*(s\/(-15) - 2) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450) + sqrt(450)*-1)\/sqrt(10) - (-1*sqrt(605) - (1*sqrt(45))\/sqrt(9))**2.\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 4) to base 8\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-45)\/((-4410)\/(-56)) + (-26032)\/14. Let g = -1860 - l. Suppose -2*u - 4 = -2*j, 4*u - u - 4 = j. Solve u*o + 12 - 3 = g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 - 15. Suppose 0 = 13*v - 10*v - l, 4*k - 4*v = 88. Suppose -4*h + 201 = 3*r, 13 = 4*r + 33. What is the greatest common factor of h and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -0.6. Suppose -4*y = -0*k + 3*k + 4, 0 = y + k + 1. Let c = 0.01 - -0.99. What is the nearest to y in c, i, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 0*b - b)*(-2 + 2 - 1) - 3*b + 3*b - b - 3357*b - 191*b + 23847*b + 7368*b + 9421*b.\nAnswer: 37085*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 848*s = 831*s + 51 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1003 + -1?\nAnswer: -1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 8 = 2*g, -5*d + 0 = -10. Is (-16)\/(-28) + (131808\/28 - g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79454721?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 18*h**2 - 9*h + 5. Let w be b(13). Let p = w + -366. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1658919770 to the nearest 1000000.\nAnswer: 1659000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 9:02 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0803765 rounded to 5 dps?\nAnswer: -0.08038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a**4*q - 11440*a**4 - 3*a**2 + 2*a*q - 80*a - 9 wrt a?\nAnswer: 72*a*q - 274560*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**2 - 3*t + 3*t + (2 - 2 + 1)*(t**2 + t - t) + 12*t + 4*t**2 - 12*t + t**2 + 4*t**2 - 3*t**2 to k*t + y + q*t**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 111095.2080929 and -18.1.\nAnswer: 111077.1080929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33134782?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 1554.\nAnswer: 7770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 628 a factor of 81644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1155 and 10065?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 + 7\/((-35)\/10) is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 908055521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t - 2. Let j be k(2). Suppose -4*p = 2*y - 64, 0*p + j = -p. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2021 - 10?\nAnswer: -2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v + 4*v + 2*v. Let m be 9\/2 - (-1)\/2. Let x(z) = -m + 5 + z. Give x(o(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-24)\/(-28))\/((-3)\/(-21)). Suppose 0 = 4*v - 5*v + y. Solve -j - 7 = -m, j + 2*m - 23 = v*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - j - 15 = -5*p, 11 = 4*j + 5*p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -23, -29, -23, 1, 49, 127?\n\"Answer: o**3 - 13*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 289 + -300. Let m(l) = 2*l**2 + 22*l + 4. Let t be m(w). Solve -3*b + 4*u - 8 = 0, 5*b + 0*b = t*u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24317112 (base 9) in base 2?\nAnswer: 101101010100100010011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 11*q + 15 = 0. Suppose 0 = -3*b + q, 0*p - p + 2*b = 68. Is p smaller than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -1\/6 (b) -2\/5 (c) 4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1316 and 11.\nAnswer: 14476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - z + 24 = 0, -3*z + 0*z = -5*i + 28. Suppose 3*b - 157834 + 2007819 = i*a, 740005 = 2*a + b. What is a rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -7*x + 11. Let a(y) be the third derivative of -y**4\/8 + 5*y**3\/6 + 21*y**2. Calculate -9*a(h) + 4*q(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ioz when three letters picked without replacement from {z: 1, i: 1, l: 3, o: 1, f: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from bbbbcbbcbbbc?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 6*h**2 - 23*h + 143. Determine z(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 163286710 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(190\/247) - 2\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 + 58. Suppose 16*s = h*s + 9. Solve -r - 12 = -2*w, -2*r = s*w + r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 604 + 2127. Suppose 0 = -2*a - 2*a - 5*w + 3642, 3*a - x = -4*w. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*y + j = -111, -3*j = 2*y - 58. Let i = 27 - y. Suppose 0 = -2*d + i, 2*t - 3*d - 133 - 363 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 597 = 2397. Suppose -5*i + 2*x + t = 7*x, -3*i = 5*x - 370. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -80.03 + 80. Which is smaller: t or 2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/10 and 59\/1566.\nAnswer: 7830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96862.\nAnswer: 2, 19, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -515*q**3 + 2*q + 3. Let l be o(-2). Let y = -59 - -55. Is l\/y*52\/(-39) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/6))**11*s\/s**(-8)*s**11 assuming s is positive.\nAnswer: s**(131\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22 - 22 + 2*b + (5*b - 3*b - b)*(-6 + 2 + 3).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 13*o**3 - o**2 + o. Let n be q(1). Let h = -5 + n. Let b be 10\/6 + h\/(-12). Calculate the highest common factor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -5 - (5\/(25\/2) - (-1532167)\/(-455))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 734233174 to the nearest integer?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*l - 4 = 0. Let r = -23 + -67. What is the remainder when ((-8)\/5)\/(36\/r) is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96206 by -81.\nAnswer: 96206\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + a + 11 = -p - 17, 0*p = -2*p for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m + 2*m + 2*m)*(-30858 + 12078 + 14093) as p + l*m and give l.\nAnswer: -9374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*r - 182 - 66, r = 2*q + 126. Is 15 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214430 (base 5) in base 6?\nAnswer: 54402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 7*h**2 - 32*h + 185. Does 38 divide v(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 14 (c) -2\/13 (d) -1 (e) 3.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -271, 2, 5, 16, 3, 341 in increasing order.\nAnswer: -271, 2, 3, 5, 16, 341","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12963724*z**3 - 16018*z + 73 wrt z?\nAnswer: -77782344*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5956661160.\nAnswer: 2, 3, 5, 31, 177917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 76254.1857ns in weeks?\nAnswer: 0.00000000012608165625","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 3*b - 25 + 9, -5*b - 20 = -2*m. Solve -1 = -m*w - 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 82?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-45)\/(-10))\/(42\/588). Which is the second smallest value? (a) 3 (b) 1\/5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((-324 - -321) + (4 - -1)) - (-1 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5487 + -0.5486968116. What is f rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.04611088 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -4*s + 3*s - 20, 5*s + 4*t = -5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36745 + 52816. What is the thousands digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**5\/60 + 19*s**3\/6 + 48*s**2. Let r(v) be the first derivative of b(v). Let f(p) = -41*p**2. Determine f(r(a)).\nAnswer: -164*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 730*f + 2215. Give n(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2106 a factor of 144180972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-2 + 8 - (-18 - -22))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*n - 465*n - 60*n - 756*n as p + h*n and give h.\nAnswer: -1290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 731 - 5849\/8. Which is the nearest to 0? (a) 3 (b) q (c) 0.01 (d) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d**2 - 4*d**2 + 4*d**4 + (-250*d**3 + 32*d**3 - 210*d**3)*(0 + 0 + 2*d) to n*d**3 + t*d**2 + g*d + f + b*d**4 and give b.\nAnswer: -852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 911.2087 nanograms?\nAnswer: 0.0009112087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1258034 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 420*o**4 + 3*o + 10727*o**2 + 10727*o**2 - 21453*o**2 to the form t*o**2 + b*o**4 + u + k*o**3 + h*o and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 2807325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**3 + 0*s**4 - 4391*s**2 - 5*s + 10*s - 2 + 2*s**4 + 4398*s**2 in the form a*s**3 + g*s**2 + n*s + q*s**4 + l and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qt when two letters picked without replacement from {t: 10, q: 4}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4098337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 5*j - 18*j.\nAnswer: -13*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/((-72)\/(-108)))\/(6\/34)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k**2 - 5*k**2 - 2*k**2. Let b(v) = 5*v. Let g be -8*3\/(-2) - 3. Let x(u) = 11*u. Let o(r) = g*b(r) - 4*x(r). Give o(q(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-9)\/p**12*(p*p**3\/p)\/(p*p**(6\/7)))**13 assuming p is positive.\nAnswer: p**(-1807\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -12 - 0 - 0\/(-7). Let h = v + 9. Let g be h\/9 - 25\/(-120). Which is the closest to -0.1? (a) g (b) -1 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -19\/66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -p*u*y - 23*p*u + 74*p*y**2 + 93*u*y**2 - 6*u wrt y.\nAnswer: -p*u + 148*p*y + 186*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 544 and 34.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 194.6 * 3237.\nAnswer: 629920.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mcvcvmmsmsmvmcllvd. What is prob of sequence vlsv?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-140)*72\/(-252))\/(4\/(-28))\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 5*n - 2. Let u be q(7). Let b = -157 + 145. Let v = u + b. What is the greatest common divisor of 7 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 19. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4536192 to the nearest integer?\nAnswer: 2130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(((-24)\/200)\/(12\/20)). Solve -2*c + 3*c - 5*n - 21 = 0, 0 = -p*c + 4*n for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**0*(b\/b**(-7))\/b*b**(-2\/5)*b**(-2\/5) assuming b is positive.\nAnswer: b**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300730 times 0.02?\nAnswer: 26014.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 - n + (-n + 4*n - 4*n)*(2 + 5 - 5) + 3*n - 5*n + n + 0*n - 3*n + 2*n + (2*n + 1 - 1)*(635 + 2975 + 754).\nAnswer: 8723*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3051 + 30. Let f = -2104 - j. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 150 + -146. Let y be ((-20)\/(-30))\/(o\/66). Solve 5*x = s, 4*s - 4 = 5*x + y for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.91, 148, 0.4, 0, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 7. Which is the nearest to -0.1? (a) h (b) 1.1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t**3 - t**2 - 2*t + 21. Suppose -20 = 3*s - 8*s. List the prime factors of m(s).\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -634263 and -1?\nAnswer: 634262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -79*k - 1963. Let r be l(-25). What is the greatest common divisor of 17796 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*-1*4)\/sqrt(11))**2 - -5*((sqrt(252) - (sqrt(252)*3 + sqrt(252)))**2 - sqrt(7)).\nAnswer: -5*sqrt(7) + 11452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of 365*l**9\/504 - l**6\/120 - 191*l**5\/30 + 3*l**2 + 300*l. What is the third derivative of d(a) wrt a?\nAnswer: 43800*a**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -28. Suppose 4*g - 77 = -i - w, 4*i - 177 = 5*g. Suppose -4*j = -0*j - i. Calculate the lowest common multiple of j and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 646 in 12, 4, -5, -0.2?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 50. What is the remainder when h is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 993935 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1, -10, -25, -46?\n\"Answer: -3*c**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p**2 + 22*p - 101. Let q be f(3). Let m = 3.06 - 0.06. Which is the nearest to q? (a) m (b) -2\/5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2 + 4 + 0 - 1. Let p(w) = 3*w + 9. Let o(f) = -p(f) + 2*z(f). What is the units digit of o(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27018 is divided by 422?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**2 - 6*d + 3. Let b be f(1). Let r(s) = -s**3 - 4*s**2 + 6*s - 3. Let t be r(b). Is (-4 - -6)\/t + (-101)\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 207 (base 15) to base 14.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a minute?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*b + 12*b - 48. What is the remainder when 73 is divided by ((-4)\/b)\/((-6)\/9)*-22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-1*sqrt(567) - sqrt(567)) - sqrt(567)) + 1 + sqrt(567) + -1)*5*-6.\nAnswer: -2160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -37*326.169\nAnswer: -12068.253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 93657, 93653, 93649, 93645, 93641?\n\"Answer: -4*r + 93661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (3 - (-5 + 7 + 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.5 - 74.3. Round j to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three thirds of a century in months?\nAnswer: 17200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 418 + -577. Let q = x - -160. Is 0.093 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101213 - 133?\nAnswer: -102012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -2005744.\nAnswer: -3\/2005744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 637.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 117, 15.4, 1, -2, 0.3, -2\/15?\nAnswer: 15.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*x - 6. Suppose -2*c = -6*r + x*r - 5, 2*c = -2*r + 10. Suppose c + 16 = v. Calculate the highest common factor of v and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 182723 - 685975. Let o = y - -971252. What is o rounded to the nearest ten thousand?\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05376 + -0.45376. Which is the nearest to -0.09? (a) -56 (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o + 39. Let d(b) = -b. Let k(q) = a(q) - 5*d(q). Does 11 divide k(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*(-2 - 182\/(-3 - -1))?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171423241?\nAnswer: 11, 43, 47, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 8*s - s + 2 + 2*s**2 - 3*s. Calculate the remainder when 37 is divided by j(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124, -267, -410, -553, -696, -839?\nAnswer: -982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -389061*h. Let w(j) = -15*j**2. Determine n(w(l)).\nAnswer: 5835915*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 10*c**2 - 7*c + 14. Let u be b(-9). Let f be u\/(-6) - (-5740)\/30. Suppose -f - 72 = -6*k. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/8*p - 3\/4*p**2 + 3\/8*p**3 + 0 = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (0 + 0 + (-234)\/(-57))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + r + 3*r + 25, -2*r + 48 = 4*g. Suppose -z + 4*n + 71 = -0*n, -2*n = 5*z - 377. Calculate the remainder when z is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77 + 117. Suppose 0 = 2*v - 3*v + 60. Calculate the greatest common factor of v and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibibbbbbbsbbsbsbb. What is prob of sequence sisi?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*5\/(-60) - (-15)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2. Suppose -11*a = 5*h - 15*a - 91, 0 = 4*h + 5*a - 40. Suppose q = j - h - 5. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(1944)*3 + (sqrt(1944) + sqrt(1944)*2)*-2)\/(6*sqrt(72)\/(sqrt(36)\/sqrt(4))*-6*-3))**2.\nAnswer: 147\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftxk when four letters picked without replacement from xhmtkft.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2326, 2332, 2338?\n\"Answer: 6*c + 2320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1002 divide 15236412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112 and 476.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 602.7283m to centimeters.\nAnswer: 60272.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(405) + -1)*-5*2.\nAnswer: -90*sqrt(5) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**5\/20 - v**4\/12 + v**3\/6 + 21*v**2\/2 + 12*v. Suppose 0 = -4*x + x. Is c(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2217)\/(-21))\/(205\/1435). Which is bigger: 731 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((-73)\/((-16133)\/(-102))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/78 and 77\/54.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -148.999869 - -149. Round y to 5 decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1224655 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -809 + 2426\/3. What is the nearest to z in -2, 0.4, 0.075?\nAnswer: 0.075","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*4*(sqrt(84) + sqrt(84) + sqrt(84)*2 + sqrt(84))\/sqrt(7))\/(-2*-3*sqrt(12)\/sqrt(2)*5) + 1.\nAnswer: -2*sqrt(2)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48375411*f**3*t + 47358491*f**3 with respect to t.\nAnswer: 48375411*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 862 divided by 431.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 88 + -62. Suppose 24*q = o*q - 282. Let x = q + -213. What is x rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 18 (b) -0.07 (c) 2\/69 (d) 0.4 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -5.7. Let w = g + -6. Let t = w - -0.3. Is -5 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 8*p**2 + 2*p + 27. Let w be q(7). Let l(c) = -c**3 - 3*c**2 - 14*c. Does 36 divide l(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 165.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25419850 take away -1?\nAnswer: 25419851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.476 to one decimal place.\nAnswer: 30.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + (sqrt(66) - (sqrt(66) - (3*sqrt(66) - sqrt(66))) - sqrt(66))\/sqrt(6) + 3)**2 - (sqrt(66)\/sqrt(2)*3 + sqrt(33))\/sqrt(3))*1.\nAnswer: 8*sqrt(11) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7}. What is prob of sequence ssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -3, 1 in increasing order.\nAnswer: -3, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-14*1587\/(-1932)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*y - 68 = 0, 0 = -2*p + 55*y - 52*y. Calculate the least common multiple of p and (2 - (2 - 2)) + 1998.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -188a98 (base 14) in base 2?\nAnswer: -11010100001101001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6988504?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/677?\nAnswer: -2\/677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -518628 - 0.87.\nAnswer: -518628.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-3) - (-2 + 6). Let n(p) = -p**2 - 5*p. Let x be n(q). Suppose 0 = 3*h - 5*h + 2*d + 22, h + d - 13 = x. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*i**3 + 75*i**2*l**3 + 10*i*l**3 + 7*i*l**2 wrt i.\nAnswer: -24*i + 150*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133346, -267814, -402282, -536750, -671218?\nAnswer: -805686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 + w**2. Let c(q) = -12*q**2 - 6*q - 3. Let k(t) = c(t) + m(t). Give k(-4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 781877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**12)\/(x**(-13)\/x) assuming x is positive.\nAnswer: x**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 + -36. Let d(i) = i**3 - 8*i**2 + 6*i + 10. Let z be d(7). Sort 0, b, z in decreasing order.\nAnswer: b, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.534285432 + 89.534286892. Let q = 82 - z. Round q to 7 decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 39 - 51 = 0. Let z be -3 - (-1 + m\/(-3)). Suppose -2*x - z = -4*x. Solve w = -2*p - 8, w + p - x = 2*p for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1443030320 + 3?\nAnswer: -1443030312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.75687 decades in months?\nAnswer: 11250.8244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1319677610334097 - -1.\nAnswer: 1319677610334098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 8:14 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74.3 - 85. Let a = -10.859 - m. Let z = -0.054 - a. Round z to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 2*x - 6, -x - 5 = 4*l - 18. Suppose l = -y, -4*d - 5*y + 45 = d. What is the smallest common multiple of d and 13?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 26*k**2 - 93*k - 2129. Calculate r(-27).\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-301)\/903 - 16\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 104083 + -66034. What is x rounded to the nearest one hundred?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - ((67 + -67 - -6) + (-1 - -2 - 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 87*v**4\/2 - 66*v**3 - 1257*v**2\/2 - 645*v = 0.\nAnswer: -2, -43\/29, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335628 = -2*v - 5134328. Let b = v - -10234978. Round b to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 20*u - 12. Let j(t) = t - 1. Let y(i) = 12*j(i) - w(i). Let l(p) = -p + 3. Let o(b) = -4*b + 9. Let v(a) = 15*l(a) - 5*o(a). Calculate y(v(g)).\nAnswer: -40*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1070 - 1073. Let y(z) be the first derivative of -z**4\/4 - z**3 - z**2\/2 + 2*z - 60. Calculate y(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13843 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48291\/31220 + -5\/1561. Let w = -35 - -47. Calculate the common denominator of (-90)\/(-25) + w\/8 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of 43*c**5\/60 - c**4\/6 - 5*c**3\/6 + 29*c**2. Suppose -2 = -2*w - f, 5*w + 0*w - f = -9. What is the tens digit of v(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -3. Suppose 3*v - l*v = -6. Find the common denominator of 226\/3*v\/8 and 107\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 514215397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1, 1\/8, 0.3, 0.2, -6.41?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -21*l + 24*l. Let d(u) be the second derivative of -3*u**3\/2 + u**2 - 2*u. Let q(y) = 4*y - 1. Let x(g) = l*q(g) + 6*d(g). Calculate x(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(700) + sqrt(700) + 1 + sqrt(700) + 3 - sqrt(700))**2 - sqrt(700))*-4.\nAnswer: -11266 - 600*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 17541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0) + -11 - (-489 - -468) - -20?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -12011?\nAnswer: 12014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n + 9. What is v(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10445436 (base 7) to base 2\nAnswer: 11011100010010101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 i when four letters picked without replacement from hhhfhhwiiifwiww.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d + 30. Let s be l(7). Let g be 78\/15 - (6 - 4)\/2. Let c = 6 - g. Which is greater: c or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 4*q - 364 = 2*y + 9*y - 23*y, 2*y = -q + 41 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 2688420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 88*w + 61 + 115 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21437 and 7174.\nAnswer: 9046414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 3*o - 1. Let t be i(2). Let l = 9 - t. What is the tens digit of 16 + (1 - l) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -268 (base 15) to base 2.\nAnswer: -1000100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2332302212 (base 4) to base 7.\nAnswer: 6433235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*q = -12, r = 3*r + 3*q - 20. Solve -r*l - 30 + 6 = -c, -12 = 4*l + 2*c for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 2*j + 15. Let l be (-8)\/(-14) + (3 - j). Which is smaller: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 378\/(-12)*-2*2. Suppose -5*t - 16 = -y. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49914863?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 - 2200*l + 2200*l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*y - 1654*y = -218*y - 132860 for y.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8827675, 17655352, 26483029, 35310706?\nAnswer: 44138383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**3 - 12*z**2 + 10*z + 3. Suppose 5*d - 25 = -2*p - p, -2*p + 2*d = -6. Let y be n(p). Solve 0 = y*r - 6*r - 15, 0 = 5*t + 3*r + 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 9*f - 13*f + 5*f. Let h = 30 - 19. Let k(u) = 4*u - h*u + 0*u. Calculate i(k(m)).\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 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: Is 35 a factor of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1643 - -298. Is -2689\/2 <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81477573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/7))**(-3)\/(j*j**1)**30)**36 assuming j is positive.\nAnswer: j**(-15336\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2 + 11*j + 21. Let l = -65 - -72. Let m be k(l). Factor m + 1\/4*q - 1\/4*q**2.\nAnswer: -q*(q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9751 - 4*j + 2*j**2 - 9753 + 19509 + 4*j.\nAnswer: 2*j**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 - (-2 - 0) - 1912. Is (h\/(-10) + 4)\/((-2)\/(-4)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3476280791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-114)\/665)\/(15\/475))\/(19\/(-266))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l. Let w(q) = 45*q. Let f(i) = 3*w(i) + 27*z(i). Let c(x) = -2*x**2. Calculate f(c(k)).\nAnswer: -108*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 divided by -19363?\nAnswer: -212\/19363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 8\/13*u**2 + 32\/13*u**3 - 8\/13*u**5 - 2\/13*u**4 + 0 + 0*u = 0. Calculate u.\nAnswer: -2, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/6110 - 12187\/67210. Put t, 0, -2 in descending order.\nAnswer: 0, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - ((-1)\/3)\/(19\/57). Is 18 a factor of (-1 + (-987)\/c)*36\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 19*h**2 - 11*h**2 - 6*h**2 + 7 - h - 3*h**2 - h**3. Give g(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121783 is divided by 195.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 259853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9891 or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/470 and 67\/94.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(896)*-4)\/((-4*sqrt(40))\/sqrt(5)))**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.0532201811422 - 3.\nAnswer: -1.9467798188578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204*o + 5*h + 48085 = -206*o, 2*h = -2. What is o rounded to the nearest one thousand?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -411*z**2 - 416*z**2 + 834*z**2.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -0*t - 4. Let b be 150\/(-6)*(t - 3). Suppose 0 = 10*s + b + 45. Let l(n) = -7*n + 5. Let x(j) = -10*j + 7. Determine s*l(w) + 5*x(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2411*b**2 + 56*b + 47 wrt b?\nAnswer: -4822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -69*n. Let w(m) = -6*m. Calculate c(w(g)).\nAnswer: 414*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4))\/((-18)\/60).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 118186644?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11619.9999953698 - 11620. Round n to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -190 - -240. What is the remainder when u is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -117 - -167. Suppose -w + 17 = -4*s - s, -5*w = -s - 13. Let d be 11 - 3*s\/(-9). Calculate the greatest common factor of x and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/375 - 236\/4125. Let f = 137\/495 + v. Which is the nearest to -3? (a) f (b) 0.5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3060575*f**2 - 3060575*f**2 + 31*f**3.\nAnswer: 31*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -20958 times -2\nAnswer: 41916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -20, -2\/9, 5, -0.1, 6, 0.316?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.98433cm?\nAnswer: 9843300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 956 is divided by 944?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 0)\/((-2)\/6). Suppose 0*l + 2*l - 17 = -3*z, -w*z - 53 = -5*l. Let c be l\/(-4)*(-46 - -2). Calculate the highest common factor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0488 and -9.727.\nAnswer: 0.4746776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 14 = 5*i, -10412*i - h = -10407*i - 12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-18)*(0\/1 - 3). Suppose k + 5*w = -18, 5*k + 0*k + 5*w + 10 = 0. Suppose -12 = 2*d - k. Sort d, n, 4 in decreasing order.\nAnswer: 4, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 699181 is divided by 931?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -14. Let u = s + 13. Solve 0*x - 3*r = 5*x - u, 0 = -5*x - 5*r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) -5 (c) 74.04822\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 92, 84, 74?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -7, 423.\nAnswer: -7, -4, 3, 423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.457 and -641.1.\nAnswer: -292.9827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -13*y - 59. Let r be o(-4). Let b(q) = -2 + 5 - q - 4. Determine b(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22223101013 (base 4) to base 15.\nAnswer: 3a4378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 + 28*i - 3*i**2 + 10*i + 28*i - 65*i + 4*i**2 + 33*i.\nAnswer: -i**2 + 34*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 0 - k + 0*k**2 + 1\/6*k**3. Let f(u) be the first derivative of u**3\/3 - 7. Give z(f(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djcjjjujujkjdcwdju. Give prob of picking 3 j and 1 u.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 36\/36*(-1)\/5\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1065 is divided by 43?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15456)\/(-1541) - (7 - (-18)\/6)?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -342401 - -11?\nAnswer: -342370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2474730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, w: 5, e: 1, a: 1}. What is prob of picking 1 e and 2 w?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*r + 15. Suppose 6 = 2*l - r. Find the common denominator of 3\/l*(-4 - -2) and -41\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*r + 26 = 0, 3 = -3*q + r + 41. Is (-295)\/(-354) + 163346\/q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + w = 4679999, -4*s + 4*w - w = 6239997. Round s to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*w + 206*w = g - 7, 3*w - 33*g = -30 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xq when two letters picked without replacement from {s: 1, q: 1, x: 1, c: 1, e: 2, d: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**4\/12 - 16*c**2. Let m = -82 + 102. Calculate the lowest common multiple of m and n(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -2*g**5\/105 + 11*g**4\/21 - 94*g**3\/21 + 220*g**2\/21 - 200*g\/21 - 287. Solve y(o) = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 + (-12 - -8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 556.223*-9\nAnswer: -5006.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 divided by 6?\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 9 = 0, -s + 83 = 3*z + 302. Let j be (-5)\/2*z\/990. Which is the smallest value? (a) 3 (b) j (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36108\/35046 + (-8)\/22. Factor -16\/3*t - 6 + l*t**2.\nAnswer: 2*(t - 9)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 7581153?\nAnswer: -7581153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 779 smaller than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01349299 rounded to 4 decimal places?\nAnswer: 0.0135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 488819628?\nAnswer: 2, 3, 11, 1234393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*q - 6*q + 2*q)*(1 - 5 - 1) - 5*q - 2*q + 4*q + 3*q - 3*q - 7*q to the form k*q + i and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18*-20*(-7)\/56. Let t be ((-51)\/l - -1) + (-4)\/(-30). Solve -g + t*v - v = -9, 19 = 3*g + v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1193100 is divided by 16804?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50510922, -101021843, -151532764, -202043685?\nAnswer: -252554606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2\/5 + 32*a\/5 + 48\/5.\nAnswer: 4*(a + 2)*(a + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**5 + 31400*h**4 + 286463*h wrt h.\nAnswer: -60*h**3 + 376800*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110111 + -1000010011111001100?\nAnswer: -1000010100000000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -15*a**4 - 5*a**3 + 5*a - 23. Let v(x) = -8*x**4 - 2*x**3 + 2*x - 11. Let m(u) = 2*o(u) - 5*v(u). Find the first derivative of m(j) wrt j.\nAnswer: 40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6636674.\nAnswer: 2, 11, 59, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 62, 2\/9, -6293 in increasing order.\nAnswer: -6293, 0.03, 2\/9, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 5883 = -7*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5 - -7) + (1 - (-433 - -1))?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/48 and (14\/680)\/(62\/465).\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (0 - -3 - -8)\/(1\/35)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 166 - 305. Let s = -83 - g. List the prime factors of s\/(7 - 3)*58\/4.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 5*y**8\/672 - 2*y**7\/21 + 5*y**6\/12 - 2*y**5\/3 - 935*y**2. Solve w(b) = 0.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2912 + 2911. What is the biggest value in -2\/5, 3\/5, 3\/8, g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(1 + 0) - (26 - 28). Suppose -2*r - 3*k - 1357 = -6*r, -k + a = 0. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22498 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24705979, 49411960, 74117939, 98823916, 123529891, 148235864, 172941835?\nAnswer: 197647804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -16\/7126677?\nAnswer: -16\/7126677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*d - 1)*(-2*d + 0*d - d)*(d - 3*d - 5*d + (-4 + 7 - 1)*(0*d + 2*d - d) - 2*d + 4*d + 0*d - 2 + 2*d + 2) to o*d + g + r*d**2 + p*d**3 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -720?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/24 and -8\/1101.\nAnswer: 8808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 90.67451 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4343 (base 6) to base 12\nAnswer: -6b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + (sqrt(147) + -2 + sqrt(147))**2 + sqrt(48)*6.\nAnswer: -31*sqrt(3) + 592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 766 and 24616?\nAnswer: 9427928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57598 is divided by 64.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 9*l + 1530 = 0. Let y be l\/(-39) - 24\/(-156). Solve -4*i = r + 2, 2*r - 8 = -4*i + y*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -358*y**2 - 39*y + 379. Let s be g(19). What is s rounded to the nearest one thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h + 0 - 2 + h**2 + 5. Let m(b) = -2*b**2 + 9*b - 5. Let x(n) = -5*c(n) - 2*m(n). Determine x(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*j**2 + 371*j + 4*j**2 - 370*j)*(4*j - 2*j - j + (-1 - 2 + 4)*(2 - 2*j - 2) - 2*j + 6*j - 2*j + 6*j + 4*j - 3*j).\nAnswer: -104*j**3 + 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 281 and 4.\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 32*n**5\/3 + 196*n**4 + 40*n**3 - 1700*n**2\/3 + 176*n + 144 = 0.\nAnswer: -18, -2, -3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 25 - 40. Let a(u) = 4*u - 42. Let w be a(l). Let x be 37\/4 - 2\/8. Calculate the highest common divisor of w and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65\/6 or -4?\nAnswer: -65\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**2 - 2. Let i = -32 - -40. Let u(n) = -1 - 9*n**2 - i*n**2 + 18*n**2. Let m(b) = -4*u(b) + 2*w(b). Let f(j) = -2*j. Calculate f(m(v)).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/((-175)\/(-10)))\/(5\/25).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -3, -3.7, -1974?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/448 and (-23)\/98*(-15)\/18*-3?\nAnswer: 3136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 140 = -0*f - 3*f, -f = 0. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 35 = -5*v - 3*n, -n = -5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**5 - f**5 + f**5 + (-6*f - 3*f**5 + 6*f)*(-3 - 1 + 2) + 3*f**5 - 2*f**5 - 3*f**5.\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 274 (b) -5 (c) 2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1369 is divided by 1351.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (48\/14 - 3) + (-167948)\/(-154).\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2 - 4*j**2 + 4*j**2 - j**2 - 10*j + 18. Let q be b(-11). Suppose q*y - 490 = 620. What is the smallest common multiple of y and 12?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 44. Let p(c) = -3*c**3 + c**2 + 10*c - 2. Calculate the remainder when p(-3) is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**4 - 19562*w**3 + 48310484*w**2 - 2328575640*w + 19794771216 = 0. Calculate w.\nAnswer: 11, 38, 4866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 8*q + 26. Let a be p(-6). Let r be (16\/a)\/(13\/91). Suppose 3*y - 58 - r = 0. What is the least common multiple of 18 and y?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-11)\/(-22))\/((-459)\/402) and 57\/170?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2401283 is divided by 2401189?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1031*z**2 - 978305 + 978305)*(0*z - 2*z + 3*z).\nAnswer: -1031*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352912 is divided by 88222.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 280 or 279?\nAnswer: 280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 25 = v + 2*m, -3*v - m = -23. Let q = -13 - -16. What is the remainder when v is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -6, 746, 4.\nAnswer: -6, -5, 0, 4, 746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + (-3*sqrt(567)*-1 + sqrt(567) + sqrt(567)*-1*4 - ((sqrt(567) - (-2 + -3 + sqrt(567) - sqrt(567))) + sqrt(567))*4)**2).\nAnswer: -183445 - 14400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 224*x + 29470. What is l(-93)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 11*o**6\/120 + 67*o**5\/40 - 71*o**4\/12 - 7*o**3\/3 - 2*o + 127. Suppose a(s) = 0. What is s?\nAnswer: -14, -2\/11, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-230)\/(-75) + -3)*12. What is the nearest to 0.5 in q, -2\/9, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/13613493 and 43\/253.\nAnswer: 149748423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1834.1 to the nearest ten.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2 - 11*t + 6. Let u be z(4). Let s(k) = k - 6. Let f be s(u). Let x be (f\/(-7))\/((-2)\/21). What is the greatest common factor of 66 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -627 - -605.7. Let n = -7.3 - i. Sort 6, -0.5, n.\nAnswer: -0.5, 6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*h**5 - 144836*h**4 + 53522848*h**2 wrt h.\nAnswer: -840*h**2 - 3476064*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3878\/19 + 204. Let o = 6 + -3. Let c = o + -2.9. What is the nearest to c in -0.1, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g - 7. Let u be h(-5). Suppose -2*n - 2 = 2*f, 8*f - u*f - 40 = 4*n. Sort 3, f, -4 in increasing order.\nAnswer: -4, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2677, -5357, -8037, -10717?\nAnswer: -13397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -5\/1133863?\nAnswer: -5\/1133863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - (sqrt(95)*2*4 - sqrt(95) - sqrt(95)))\/(sqrt(560)\/sqrt(7)) - 6*(-1 + sqrt(19))*-1*3.\nAnswer: -18 + 67*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65 - -79. What is the greatest common divisor of 70 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j - 1. Let f(m) = m + 2. Let k(r) = 3*f(r) + z(r). Determine k(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30062556?\nAnswer: 2, 3, 173, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*l**3 + 149 - 76 + 42*l**2 - 73.\nAnswer: -66*l**3 + 42*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*p - 16. Suppose 0 = 2*z - 0*z - p. Let n be 5*9\/(-6) + 3\/(-6). Which is the third biggest value? (a) -3 (b) z (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 288718978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 67553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2 = 3. Solve s + 2 = 5*t - 8, 2 = -v*s + t for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 2*x = 16, 2*g + 4*x - 7*x = 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-35)\/(-7) - (-139 - 3).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*g - 40 = 0, -5*g - 15 = -5. Let r = 18 + m. Suppose -3*z + 5*f - 3*f + 7 = 0, 0 = -5*z - 3*f - 20. Put r, 1, z in descending order.\nAnswer: r, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*q - 36 = -49, 0 = -5*o + q - 22. Sort -0.1, o, 23.5 in descending order.\nAnswer: 23.5, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 907526.9ml to litres.\nAnswer: 907.5269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: e (base 16) to base 3\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1678304121 to the power of 1\/2, to the nearest integer?\nAnswer: 40967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 179145965?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 146550491 to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 11:46 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -60, -222292 in ascending order.\nAnswer: -222292, -60, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20.69999789 + 20.7. Round v to 7 decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**3\/3 - 1. Let u be 6 - 6*(-2)\/(-4). Let l(d) = -2*d. Let w(h) = -10*h. Let z(r) = u*w(r) - 16*l(r). Determine z(n(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -12*n + 6. Let o(z) = -8*z + 4. Let t(x) = 7*c(x) - 11*o(x). Give t(-12).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/2919384 and 125\/299424?\nAnswer: 11677536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -269, -538, -805, -1070, -1333, -1594, -1853?\nAnswer: -2110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24229529003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/6 + 8\/6. Suppose -7*j + 205 = -u*j. Suppose 3*b = 4*t + j, 2*t = t - 2. Calculate the greatest common divisor of b and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3500.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1071 at least as big as -166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24.5635 and -7?\nAnswer: -171.9445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 8:36 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -260510, -1042027, -2344556, -4168097, -6512650?\n\"Answer: -260506*z**2 + z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 188\/20 - 4*(-2)\/(-20). Let b(a) = -14*a + 1. Let v be b(-1). Suppose y = 2*x - v. Solve 3*j - x = 0, -d + 5*j = d + 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*-0.335.\nAnswer: 0.201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 95282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6129947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**8\/(o**(-4\/5)*o))\/(o**(3\/4)\/(o\/o**9)) assuming o is positive.\nAnswer: o**(-19\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**3 + 4*f**3 - 6*f**3 + (-3*f + 2*f**2 + 3*f)*(-4 + 4 + f) - 2*f**3 + f**3 + 2*f**3 - 47 - 45 + 95 + 29*f**3.\nAnswer: 30*f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*w - 46 = 0, -2*s - s - 5*w = 29. Let y = s - -41. Suppose 5*j = -25, 4*j = -4*b - j + y. Calculate the remainder when 46 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = -2*a - 2*t, -3*a = -2*a + 2*t + 73. Let l = 84 + a. Calculate the greatest common divisor of 175 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.86 - 4.141. Let a = -0.051 - z. Let j = 0.22938 - a. Round j to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4)\/(x\/(x*(x**(2\/9)\/x)\/x*x)))**(1\/3) assuming x is positive.\nAnswer: x**(-43\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -4 (c) 5 (d) -12.896 (e) 4 (f) -50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -1\/120*u**6 + 0 - u**3 - u**2 + 7\/60*u**5 + 1\/3*u**4 + 0*u. What is g(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/3 - 1)*-2. Let c be 5*(-3)\/((-30)\/z). List the prime factors of (-63)\/(-5) - c\/5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 16*f. Let k be b(-16). Suppose k = -m + 5*t + 96, 4*m - 2*m - 178 = 3*t. What is the remainder when m is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)*1)\/sqrt(10).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0439919 + 0.044. Round z to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y**2. Let q(k) be the third derivative of -1\/6*k**4 + 0 + 0*k - 6*k**2 + 0*k**3. Calculate q(p(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**4*o + 12*n**2*o**2 - 303*n*o**2 + 2*n*o wrt n.\nAnswer: 24*n**2*o + 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a854 - -c?\nAnswer: a862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -5\/4 (c) 1.2 (d) 29 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1220 - -1215. Let l(g) = 7*g**2 - 7*g + 7. Let v(x) be the first derivative of 2*x**3 - 3*x**2 + 6*x - 2. Calculate w*l(z) + 6*v(z).\nAnswer: z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*v - 19. Suppose -37 = -4*h - 8*o + 3*o, 5*o - v = 2*h. Find the first derivative of 3*b**3 + 3*b - h*b - 3 wrt b.\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167642 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 19 = 2*g - 92, 5*g - 173 = 3*v. Let l = -671 - -688. Calculate the highest common factor of l and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 763296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*g + 6. Suppose -2*w + i = -8, -3*w + g*i + 10 = 2*i. Let o(a) = -2*a**w - 4*a**2 + 12*a**2. Let h(v) = -v**2. Give o(h(x)).\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003971783 rounded to 5 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**3 - 143150*i**2 - 572535*i - 429390 = 0 for i.\nAnswer: -28626, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n. Let d(c) = 405 - 763 - 2*c**2 + 369. Determine g(d(p)).\nAnswer: 4*p**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1245.24 months to decades.\nAnswer: 10.377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102\/(-4)*43120\/(-132)?\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 6 - 6. Let x = -24 - -35. Solve 3*s - 10 = v, 4*s - x = -n*v - 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160 and 179063680?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/3 - 3952496*o**3 + 35150017275022*o**2\/3 - 23433332992528*o + 35149993560049\/3.\nAnswer: (o - 5928743)**2*(o - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -166?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i. Suppose -5*d - 72 = -2*d. Let w be d\/(-14) - (-6)\/21. Let b(z) = 0*z**2 - 3*z**2 - z**w + 5*z**2. What is b(r(p))?\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*g - 13 = 0, -2*b = -0*b - g - 9. Suppose b*d - 55 = 11. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*a - d + 16, -12 = 5*a - 4*d. What is the tens digit of 8*(-2)\/a - -37?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 5269487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 5*w)*(15 + 11 - 21)*(w + 0*w + 0*w).\nAnswer: 25*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 23004?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 + 40 + -53 + -70.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2, 23\/5, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-6\/5)))\/(v\/(v**(-1\/45)\/v)) assuming v is positive.\nAnswer: v**(-37\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1217869 - 0.1\nAnswer: 1217868.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**2 + j**2 + 8*j**2 - 6*j**2.\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -501, -505, -509, -513?\nAnswer: -517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*x**3 + 9*x**3 - 42*x**3 + 2*x**3 - 2*x + 2*x + (2*x + 0*x - x)*(2*x + x**2 - 2*x) - 1 + x**3 + 1 - x**3 - x**2 + x**2.\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53 - -61. Let j = 7.7 - m. Let o = -4.6 - 2.4. Put -3, o, j in decreasing order.\nAnswer: j, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - (-8)\/164) + -2. Let j be (286\/(-39) + 7)\/((-2)\/(-6)). Which is bigger: j or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 60051 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -189743*c + 189700. What is l(1)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3003, 3004, 3007, 3012, 3019, 3028, 3039?\n\"Answer: d**2 - 2*d + 3004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58860?\nAnswer: 2, 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b6b - 26?\nAnswer: -1b95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 4*s - 25 - 14, 0 = -4*s - 16. Let f be k\/2 + (-4)\/(-8). Let t be 2*(-2)\/(-4)*1. Sort f, t, 20, 2.\nAnswer: f, t, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-4))\/(1\/(-2)*2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 101 or -121?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1*27)\/3 + -3. Let x be (-33)\/k - -2*(-9)\/6. Which is the nearest to 2\/3? (a) x (b) 0 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 326079*l - 652161*l + 326079*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -20, -59, -118, -203, -320, -475?\n\"Answer: -s**3 - 4*s**2 - 20*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90548.\nAnswer: 2, 22637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 10) to base 2.\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 10*s + 3. Let v be g(7). Let t = v - 59. Suppose -2 = 4*p - t. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 54*f + 54*f + 3*f**3 - 14*f**4 - f**2 as c*f**2 + b*f + u + g*f**4 + y*f**3 and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 475321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**3)\/(k\/((k*k**(-4\/9)*k)\/k))*(k*k*k\/k**6*k)\/k*k**7\/k assuming k is positive.\nAnswer: k**(59\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 l when three letters picked without replacement from ooolooooooooooooool.\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5 = -5, 2*j + 2 = 3*a. What are the prime factors of (1 - (-2 - j)) + 41?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2736618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 100 + -93. Factor 63*t**5 + j*t**3 - 243*t**4 + 204*t**4 - t**3.\nAnswer: 3*t**3*(3*t - 1)*(7*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 523557542 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1998 - -1997.9998613. Round y to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -0*x + 8. Suppose x*l + 20 = -0*l. Find the common denominator of 103\/54 and ((-36)\/l)\/((-224)\/(-520)).\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 391 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 - (41 + (-115 - -89)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2 + 61 = 0. Which is smaller: u or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 1356 - 1520. Let b = j + -91. What is b rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*(q\/(q**(-18)\/q))\/q)\/q**17)**(-23\/3))**(5\/9))**(3\/5) assuming q is positive.\nAnswer: q**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-2\/7)\/j*j\/(j*(j*j\/((j\/((j\/j**(2\/19))\/j))\/j*j)*j)\/j)*(j**(-1\/14)*j)\/(j**(-3\/4)*j*j) assuming j is positive.\nAnswer: j**(-799\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 + 216820*j - 1084025.\nAnswer: -(j - 5)*(3*j - 216805)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 11. Solve 0 = g*v - 2 + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 7*q**2 - 8*q + 7. Let u(z) = -3*z - 26. Let p(v) = 2*v**2 + 21*v + 8. Let c be p(-9). Calculate the remainder when u(c) is divided by t(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -8*l**2. Let r(z) be the second derivative of 41*z**3 + 2365*z. Give f(r(v)).\nAnswer: -484128*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 166, 259, 358, 463, 574?\nAnswer: 691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/(-540))\/(3\/(-9)). Let u(g) be the third derivative of 5\/6*g**3 + 0 + 0*g - v*g**5 + 0*g**4 + 3*g**2. Find the first derivative of u(z) wrt z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36.7103811 - -0.7104691. Let q = b + 36. What is q rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0416167 to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2483*p + 6 = -2480*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 18*u**2 - 21*u - 36. What is b(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 8. Let h be f(-5). Suppose -j - h*j = 3*g - 28, -4*g + 5*j = -27. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/2 and 108\/(-14) - (2 + -2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-926)\/13 + ((-11466)\/1183)\/(-42).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -20860*n + 208577. Determine w(10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1660 (base 9) in base 11?\nAnswer: a54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 34*k**3 - 1025*k**2 + 1025*k**2 + k to the form y + l*k + b*k**3 + o*k**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29333\/6704 + 26\/419. Calculate the common denominator of i and (-200)\/(-175) - ((-1619)\/(-308) - 2).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, x: 1, r: 1}. What is prob of picking 1 r and 1 x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-36)*(-2 + 0 + 2). Solve 4*z - 5*d - 9 = 0, -z + 2*d = -j*z - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 - 1 = -37*q + 9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 >= 62201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.96? (a) -3 (b) -1\/7 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 367*b + 2161 = -230*b - 7988 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 105 - 73. Does 3 divide 129\/2 - 16\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5\/5 - 47*u**4\/5 + 528*u**3\/5 + 576*u**2\/5.\nAnswer: u**2*(u - 24)**2*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -57*(-5*(-5)\/75 - 0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 2*d**2 + 3*d. Let h be o(2). Let v(t) = -t + 11. Let b be v(h). Let m(z) = 1205*z - 336195. Let k be m(279). Solve j = -k*j - b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -1 + 0*p + 1\/2*p**2. Let g(y) = -21 + 12 + 18*y + 6 + 3. Give w(g(f)).\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 9:52 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*u + 6230, u - 5843 = -3*m + 12826. What is the thousands digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -699*p = 5*x - 702*p - 14, -4*p = 2*x + 10 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-2)*39\/(-65)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*q = -105. What is the remainder when 58 is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*h + 70*h + 117*h - 4283966. What are the prime factors of h?\nAnswer: 2, 17, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 259015368.2 to the nearest one million.\nAnswer: 259000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 88\/(-28) - 15128\/(-4270)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - (-13 - (-3 - 12)) - 43.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + 11 + (-6 - -3) + 69 + -34 + -36.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 - 30529*n + 30375*n - 1 as x + z*n and give z.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvv when three letters picked without replacement from svpvspsvpvspspp.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 4*f - 4696, -4*q + 3*f + 15150 = 10510. Solve -1165*m + q*m + 1 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yv when two letters picked without replacement from yyvvvvvvyyevykkvyke?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of k**4\/9 - 20*k**3\/27 + 2*k**2\/3 + 4*k + 15. Factor g(m).\nAnswer: 4*(m - 3)**2*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*m + 5 - 34*m + 1266*m - 5.\nAnswer: 1061*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 58 - 5\/(25\/(-20)). Suppose 3*v - k = 319. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f**2 + f**2 - 2*f**2 - 10*f - 86 - 6*f + 106. What are the prime factors of w(10)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-2 + sqrt(176) + 3 + sqrt(176) + -1)*3 + ((5*-3*sqrt(176) - sqrt(176)) + sqrt(176) - (4 + -3*sqrt(176)))))**2.\nAnswer: 192*sqrt(11) + 6352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -36749, -3, -1\/3, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 - (-9)\/(-27)*6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 12*k - 279. What is g(23)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 484319567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g - 3, 21459*j - 3 = 21457*j + 5*g - 24 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - ((-9 - (3 + 0)) + 11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/234052 and -49\/520.\nAnswer: 2340520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 487 is divided by 122.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -773728, -773731, -773736, -773743, -773752, -773763?\nAnswer: -773776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -0.2, -5318?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 - 47*n - 172.\nAnswer: -(n + 4)*(n + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1200, -3, 5, -6, -5, 4, -2 in decreasing order.\nAnswer: 1200, 5, 4, -2, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, p: 4, s: 4, a: 4}. Give prob of picking 1 s, 2 p, and 1 x.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/(-110))\/(4\/(-5))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 4:33 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-6)\/6 + -1. Let f(t) = 10*t**3 + 1 + t + 0 + t + 2*t**2. Determine f(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m**2 + 11319*m - 22633. Calculate p(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 5102866?\nAnswer: -510286a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.0003 + -12149213898\nAnswer: -12149213898.0003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 + (12 - 72))*-6. What is the greatest common factor of 60 and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68910*t + 69075*t + 7425 = 0 for t.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3\/11 (b) 0 (c) -2 (d) 202\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 4*v**2 - v. Suppose -4*q - k = -17, 2*q + 2 = -3*k + 13. What is y(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (132\/(-16))\/((-3)\/4). Solve -7*q = -w*q - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 - 1c?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001982 to 4 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 212846395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*z = -2. Let w = 19\/4 - 5. Which is the closest to -1\/4? (a) z (b) -3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 14 and -0.15?\nAnswer: 14.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -6. Let d = -5 + -42. Is (d\/h)\/(5\/30) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2276 and -0.4.\nAnswer: -0.09104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 589 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(700))**2*-4 + -6*-4*sqrt(21)\/sqrt(3).\nAnswer: -2800 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 2. Let p be v(0). What is the third derivative of -o**5 + o - 2*o**p - o**2 - o wrt o?\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(5) - sqrt(10)\/sqrt(2)) + 2 - (2*(sqrt(30)*2 + sqrt(30)))\/sqrt(6))**2*-2 + -2.\nAnswer: -380 - 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 739 + -528. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 16*h**2 - 7*h - 2. Let c be u(12). Calculate the common denominator of -25\/14 and -2 + (-1631)\/c - (-2)\/5.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3767*p**3 + 7613*p**2\/2 - 79*p\/2.\nAnswer: -p*(p - 1)*(7534*p - 79)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 3:16 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 56, 84?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18 - -17)\/((-1)\/15). Suppose c = 2*g + 5, -o + 33 = -5*g. What is the remainder when o is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 107 (b) 19 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2 - 10*p + 1. Give m(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -170, -174, -172, -164?\n\"Answer: 3*l**2 - 13*l - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/((4 + -1)\/(-3)). Suppose 2 = -w + 4*n, w = i*n - 3*n + 23. What is the smallest common multiple of w and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -2*s + 14, 5*i - 2*i = 15 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 + 188*k - 185. Let c be x(93). Which is smaller: 103\/65 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24 - 166 + 41*z**4 - 91*z**2 - 42*z**4 wrt z?\nAnswer: -4*z**3 - 182*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - 2550559?\nAnswer: -2550553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 7977.8037 to zero decimal places.\nAnswer: 7978","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/4 (b) -6 (c) 110 (d) 173 (e) -4 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13\/16 - 163\/240. What is the nearest to 0 in -5, 3\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 1\/2*s**2 - 3*s + 1\/20*s**5 + 1\/2*s**4 + 0 + 2\/3*s**3. Calculate h(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2308*n + 2*n**2 + 2308*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -888 by 4.\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 6*s**2 - 4*s - 7. Let j be g(2). Suppose -2*n - 5*r = -10 - j, 2*r = 0. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -352*q + 352*q + 153*q**2 to the form m + s*q + x*q**2 and give x.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226200863?\nAnswer: 7, 257, 125737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 divided by -3?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 701630540 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((0 - 0) + -18 + 18).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r - 4. Let g(v) be the third derivative of v**5\/60 + 11*v**4\/24 + v**3\/2 - v**2. Let p be g(-11). What is l(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 40*n**2 + 321*n - 19. Let b be g(11). Let o(a) be the second derivative of -1\/84*a**4 - 2\/21*a**b + 0 - 2\/7*a**2 - 31*a. Factor o(f).\nAnswer: -(f + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3878 take away -1.4?\nAnswer: 3879.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 0) + -1 - -9. Suppose -2*i + 2*q = -200, l*i - 376 = 4*i - 4*q. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63319 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5270 divided by 877?\nAnswer: 5270\/877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 56392*a**2 - 912*a - 912. Let x(j) = -309*j**2 + 5*j + 5. Let f = -663 - 249. Let i(p) = f*x(p) - 5*z(p). Let g(h) = 2*h**2. What is g(i(k))?\nAnswer: 46208*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -6*w - 1. Let j be o(12). What is the smallest common multiple of (-1)\/4 - j\/4 and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from kkkkkkkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -846, -847, -848, -849, -850, -851?\n\"Answer: -j - 845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**3\/g)\/g)\/g**9)**(-13)*((g*g**(-4\/7))\/g*g*((g\/(g**3\/g))\/g)\/g)\/(g**(-8)*g**(2\/17)) assuming g is positive.\nAnswer: g**(13008\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 4*a = -r + 673, -2*r = 2*a - 1296. Let j = -4539\/7 + r. Find the common denominator of j and 34.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -3 + -6 - (60 + -68)) + -12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, f: 1, n: 1, v: 1, i: 1}. What is prob of sequence cnv?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 to the power of 1\/9, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + 2*z - 5*a - 24, 2*a + 3 = -5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 30333492 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 208433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113, 4808, 13023, 24538, 39359, 57492, 78943?\nAnswer: 103718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**2 + 404351*m - 404350 = 0.\nAnswer: 1, 404350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17346.7 + 17331.7. Let f(u) = u**3 - u**2 - u. Let s be f(2). Which is the smallest value? (a) 4\/5 (b) x (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9 + 39\/13 - 19. Let b(i) = 11*i + 71. What is b(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 3*i**2 - 3*i - 1. Let h be a(-2). Let g be 2 + (-1)\/(-2)*8*h. Suppose 256 = g*w - 4*w. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7188 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.05 and 0.08133.\nAnswer: 0.03133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 436\/654 - 1*(-70)\/3. Suppose -q*g + 33*g - 695700 = 0. What is g rounded to the nearest one thousand?\nAnswer: 77000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167 = -6*f + 151. Suppose 0 = -i + 4*x - 19, -4*i = -0*x - x + 91. Let v = f + i. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 9.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/18*1386\/308*2\/105*3.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -4073?\nAnswer: -4077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, i: 17}. Give prob of picking 1 r and 3 i.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 640*t - 6. Let u(q) = 7*q**2 + 3194*q - 33. Give 2*u(j) - 11*w(j).\nAnswer: 3*j**2 - 652*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-1\/58)*u))\/u**26)\/((u*(u*(u**8\/u)\/u*u)\/u)\/(u\/(u**0*u))) assuming u is positive.\nAnswer: u**(-1971\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -893971680 divided by 5572\nAnswer: -160440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + 3*sqrt(192) + 4 + (sqrt(192) + 3)**2.\nAnswer: 72*sqrt(3) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 z when three letters picked without replacement from zziyiiizozi?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, -5, -0.17, -3, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 93868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18\/19 + -167\/76. Let k be 1\/4 - (-1)\/(-36). Let g = 1.66666 - 1.69666. Which is the fourth biggest value? (a) k (b) g (c) i (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1\/4, -17893, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 234.3363 years in decades?\nAnswer: 23.43363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346*h - 338*h - 112 = 0. Calculate the highest common factor of 301 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -1 - -1)\/(8 + -9). Suppose g*c - 39 = -3*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 21 = -9*h. Suppose -y = 2*n - 7, 1 = 4*y - 2*n - 17. Suppose -y = -0*w - w, 208 = 4*d + 4*w. What is the remainder when d is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 11*p**7\/2520 + 3*p**4 - 10*p. Let q(o) be the third derivative of v(o). Let k(c) = 7*c. Determine q(k(m)).\nAnswer: 539*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4198956.77 rounded to the nearest one hundred thousand?\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 148920 - 111?\nAnswer: 148809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 - 18. Let i be 21\/(-14)*30\/(-9). Suppose 0 = 5*o - z - 49, o + 3*z = 2*z + i. Are o and y nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 629345879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 4*s - 4760, 0 = 5*f - 3*s - 4225 - 500. Let y = f + -282. What are the prime factors of y?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 35*h + 35*h + 2*h**2 in the form i + r*h**2 + l*h and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2822 (base 12) in base 2?\nAnswer: 1001000011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 221 + -178. Let h = 43 - q. Let j be ((-1)\/(-2))\/(4\/(-16)). Which is the nearest to h? (a) -4 (b) 2\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**4 - k**3 - 5265856*k**2 - 112555829*k wrt k?\nAnswer: -12*k**2 - 6*k - 10531712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**3 + 0*u**3 + u**3 + (-4*u + 4*u + u**2)*((-1 + 0 - 1)*(4*u - 5*u - 3*u) + (-11 + 4*u + 11)*(1 + 0 + 1)).\nAnswer: 14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l = 5*l. Suppose l = -2*x - w + 31, -7*x + 4*x + 2*w = -57. Let m be (-2)\/7 - 261\/(-7). Solve i = 3*p + x, -i + 6*i - m = 3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4115 - 616*k**2 - 7*k - 4*k - 8*k + 51*k - 31*k wrt k?\nAnswer: -1232*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -6. Suppose -4*a + 54 = -b - n*b, -3*b = a - 6. What is the remainder when a is divided by -5 + 10 + 2 - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44086037 to the nearest integer?\nAnswer: 6640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1569, 3163, 4759, 6357, 7957?\nAnswer: 9559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3 = 3*x - 93, 4*w = 0. What is the remainder when x is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-330))\/((2\/(-2))\/(-5))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -40561 and -40558 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-12)*(-1)\/2*-3. Let o(f) = f**2 - 3*f + 1. Determine o(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*t + 30*t + 2*b + 58 = 244, 0 = -t + 5*t - b + 33 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -21*u**2 + 6*u + 653. Let f(g) = 7*g**2 - 2*g - 216. Calculate 10*d(q) + 31*f(q).\nAnswer: 7*q**2 - 2*q - 166","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8710.\nAnswer: 2, 5, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 550475*h**4 + 1356362?\nAnswer: 2201900*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 2 + -22 + 28 + -4 + 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/3 + 32*z**2\/9 - 34*z\/9 + 8\/9.\nAnswer: -2*(z - 4)*(z - 1)*(3*z - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -i**6\/72 - 2*i**5\/3 + 125*i**4\/72 + 59*i**2 + 62. Let p(r) be the second derivative of z(r). Find x such that p(x) = 0.\nAnswer: -25, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**2 - 6*l - 7. Let t(j) be the first derivative of -2*j**3 + 11*j**2\/2 + 13*j - 82. Determine 11*c(f) + 6*t(f).\nAnswer: -3*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 27*v**5\/5 + 23*v**2\/2 - 32. What is the second derivative of z(w) wrt w?\nAnswer: 324*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1494740 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/(p\/(p*p*p**(1\/8))*p))\/((p*p*p**(2\/17))\/p*p))\/((p\/(p*p**(-3\/5)*p))\/((p*p\/(p*p\/(p**(-7)\/p)*p))\/p)))**(-26\/3))**8 assuming p is positive.\nAnswer: p**(62426\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100) + (1*sqrt(100) - sqrt(100)))*1*4)\/(sqrt(30)\/(sqrt(96)\/sqrt(4) + sqrt(6))*-1).\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from muttmmuu. Give prob of sequence ttu.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/3 - 10*h + 56\/3.\nAnswer: (h - 28)*(h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 815261010?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = -28*p - 55 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -3*v - 12, v = -4*u + 4*v + 19. Suppose 0 = 5*a, -1080 = -5*t - a + 415. Let w = 290 - t. What is the second biggest value in u, w, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, -5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*sqrt(3))**2 + 1.\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/9 - 13529\/1467\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o. Let p(a) = 6390*a. Suppose 3 = 3*g - 5*h, 3*g + 4*h + 4 - 7 = 0. Let x(b) = g*p(b) + 710*i(b). Let r be x(1). Round r to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**4\/3 - 8854*f**3\/3 - 3279642*f**2 - 88010978*f\/3 - 195187240\/3 = 0. Calculate f.\nAnswer: -2209, -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -707047 = -2538*d - 8275*d + 326869 - 103998 for d.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cn when two letters picked without replacement from knkccccknc.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 9\/20 (b) -266\/9 (c) -6 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 21) + 1 + -3 + 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 6, -5 = -l - v + 8. Let j be (-10)\/(-2) - 11\/l. Which is the nearest to 3? (a) j (b) -3 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/125 and 89\/50?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 314851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*g - 24 = -3*a + 129*g + 151*g, 6*g = a + 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 84\/(-70)*(-5)\/(-1). Let s(q) = q**2 + 7*q - 6. Give s(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 519.8202ml to litres.\nAnswer: 0.5198202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 141.96 + -143.96. Put 2\/7, -4, 3, a, 30 in decreasing order.\nAnswer: 30, 3, 2\/7, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2399 - 1573*s**2 - 2*s + 2267*s**2 + 2*s - 7*s + 8*s wrt s.\nAnswer: 1388","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2227*h. Let w(q) = -11*q**2 + q - 197. Calculate k(w(s)).\nAnswer: -24497*s**2 + 2227*s - 438719","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 307*k**2 + 3507*k + 108. Determine q(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1412928 divided by 66.\nAnswer: -21408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-94)*(-4)\/2. Let z = 249\/658 - v. Calculate the common denominator of -77\/2 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -106*i + 45*i - 82 + 134*i. What is y(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47225249792*b**5\/3 - 45779578880*b**4\/3 - 476358400*b**3 - 5503680*b**2 - 28170*b - 54 = 0. What is b?\nAnswer: -3\/392, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56009305?\nAnswer: 5, 11, 17, 37, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 549688 - -4?\nAnswer: 549692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -1) + -15 + (43 - 10) + -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**2 + 5*z**2 - 4*z**2)*(24*z - 262 + 262)*(3*z**2 - 2*z**2 + z**2).\nAnswer: -96*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 575\/10*792\/20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -622 (b) 1 (c) -4 (d) -0.12 (e) 6\/307 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11 (b) -18 (c) 1\/2 (d) -7.1 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76043 and 8711.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -307*u + 237*u + 208*u + 71*u to j + v*u and give v.\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20344 (base 6) to base 3.\nAnswer: 10202001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 0. Suppose -5 + 1 = -2*t. Suppose t = 5*d - 23. Solve -15 = -r*x, 5*u + d*x = 3*u + 19 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 7:22 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 4 - 5 - (0 + -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 9*t**2 + 239*t + 1195. What is a(-5)?\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-30)\/7)\/(-1) - 4\/14. Suppose 3 - 18 = -3*h. Suppose -t = h*r - 0*t + 10004, t - 7996 = g*r. Round r to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**3 - 4*m**3 + 0*m**3 + (-5*m**2 + 4*m**2 + 3*m**2)*(1 - 1 + 2)*(4*m + 3*m - 3*m))*(-2*m + m - m).\nAnswer: -30*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*b - 1 + 1)*(2*b - 4*b + 0*b - 2 + (5*b - 3*b - 4*b)*(2 + 0 - 1)).\nAnswer: -196*b**2 - 98*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6263 + 3128 = -18*b - 3135 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.026179 - 13.\nAnswer: -13.026179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5*656\/(-240) + -14\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1330 + 88*z**2 + 1330 + 2*z**3 to the form v*z + u*z**2 + s + m*z**3 and give u.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -17*w + 161. Let k(j) = 12*j - 108. Determine -7*k(s) - 5*m(s).\nAnswer: s - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 7979.\nAnswer: -47874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11604961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (382490\/8)\/(6612\/(-1104)). Let x = o + 7983. Let z = -2234\/8265 - x. Are 0 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -85688304*a**3 + 97982518?\nAnswer: -257064912*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (5442\/18)\/((-1)\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 207*m - 12*m**3 - 5*m**2 - 202*m + 0 + 0. Let r(c) = -11*c**3 - 4*c**2 + 4*c. Determine 4*h(x) - 5*r(x).\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 112 = 2*r + 98 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7458 or -29837\/4?\nAnswer: -7458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 31.3. Let q = d + -0.7. What is the smallest value in q, -0.3, -0.07?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 9:32 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 9*v - 7. Let u(m) = 4*m - 3. Let i(y) be the first derivative of -7*y**2\/2 - 7*y - 11. Let a be i(-2). Determine a*u(w) - 3*p(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/3)\/((-10)\/(-75)). Suppose -c*b = -u + 25, -5*u + 3*b = 2*b - 29. Suppose q - 3 = 0, 51 + 135 = 3*v - u*q. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m - 3. Let w be x(5). Let f = w + 2. What are the prime factors of f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) -0.1 (c) -1\/3 (d) 5 (e) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 753210 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 17\/(1\/(-10)*-10*1). Solve -a + w = -4*o, -o - 5*a + 0 = -22 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, z: 3, w: 6, t: 1}. What is prob of picking 1 a and 1 w?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/25168 and 27\/80.\nAnswer: 125840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m**2 - 2*m. Let g(x) = -5*x**2 - 2*x + 1. Calculate 3*g(w) - 2*r(w).\nAnswer: -5*w**2 - 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 9 + 4 = 0. Let q(v) = 2001*v**2 - 5*v. Let i be q(z). Round i to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3656 - 3*a + 2*a**2 + 3697 - 7344 - a**3. Give m(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.71 + -14.71. Let d = -4265 - -4247.01. Let u = d + 18. Put 0, t, u in descending order.\nAnswer: t, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-52)*-82 + (-88)\/572. Let z be l\/2*232\/87. Solve 3*f - 3 = -2*t, -f - z*t = -0 + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3576\/10*55\/(-121)*-11 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-1 - (-2 - (-2 + -1)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, w: 2, m: 2, f: 4}. Give prob of picking 1 w and 1 d.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/63 and 87\/280?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 556.6379 grams to tonnes.\nAnswer: 0.0005566379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 115*k**2 - 11*k + 101. What is the tens digit of b(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8114969 is divided by 344.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2836840?\nAnswer: 2, 5, 70921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/282745 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1428899.411 + -2\nAnswer: -1428901.411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3*(-2 + (sqrt(1216) - (sqrt(1216) + 2 + -3))**2 - (-4 + 5 + (3*sqrt(1216) + sqrt(1216))**2)).\nAnswer: 58377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -4, -1285376 in descending order.\nAnswer: 2, 1, -4, -1285376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2)**(8\/15)*w**(-1\/4)\/w*w*(w\/((w**(2\/5)\/w)\/w*w))\/w*w*w assuming w is positive.\nAnswer: w**(41\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 4*j + j)*(5*j + 2*j - 3*j)*(-32 - 33 + 4).\nAnswer: -244*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -551116979.5 and 37?\nAnswer: 551117016.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-3))\/(((-30)\/(-567))\/((-145)\/(-174)))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3740 - -3745. Solve i*d - 23 - 7 = v, 3*d = 3*v + 18 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2675\/2 or -2?\nAnswer: -2675\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/(-2) + -1 + 3\/6. Which is greater: 3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/4 + 3\/(-36)*-15.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5256*k**2*v + 6268*k**2 wrt v?\nAnswer: -5256*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22352 = 97*p + 73*p + 6*p. What is the remainder when p is divided by 68?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001884064077 to 7 decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*d - 861 = -5*z, z - 3*d = 169. Let s = -33 + z. Calculate the remainder when s is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2028)\/(-24)*5*8. Suppose n = -152*r + 150*r. What is r rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(5\/3)*f))\/f**(1\/4)*(f\/f**(-2\/5))**19*(f\/f**(-5))\/f*f*f**(4\/7)*f**(1\/4)*f\/(f*f**(2\/5))*f assuming f is positive.\nAnswer: f**(3266\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -7\/38712 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5)*(-2760*f + 18 - 22 + 6).\nAnswer: -2760*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -121 - 33101?\nAnswer: -33222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 5*h + 6 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*-1*(1404 + -5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y**2 - 31*y - 18. Determine r(-12).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3269070 to the power of 1\/3, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 125, -241 in increasing order.\nAnswer: -241, 1, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8776361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5530047339 - 2\nAnswer: 5530047337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -25, 5, 6, -20, -43 in descending order.\nAnswer: 6, 5, 2, -20, -25, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1201 + -614. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 310598.6 years to decades.\nAnswer: 31059.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - b + 197 = 0, -3*v + 3*b + 204 - 60 = 0. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2798 + 4.2798. Let l = 6 + -10. Which is the third smallest value? (a) l (b) -0.29 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 34 = 2*g, -5*t = 2*g + 256 - 297. Let k(z) = -90*z**2 - 10*z - 10. Let x(v) = 30*v**2 + 3*v + 3. Determine g*k(h) + 10*x(h).\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10969574 and 0.4?\nAnswer: 4387829.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 528355726 bigger than 528355725?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251309 is divided by 1908?\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132815329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -11*j + 0 + 0*j**2 - 3\/2*j**3. Let c(h) = h**2. Give c(x(g)).\nAnswer: 81*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/15414 and -47\/125881.\nAnswer: 755286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -14*j + 3. Give v(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3, 5, -0.4 in descending order.\nAnswer: 5, 3, -0.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 376\/2011 smaller than 20\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -17*m + 28. Let f = 14021 + -14019. Calculate l(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from iiaaaaakiiaiii?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -7) + -3*(5 + -4). Let m be (3 - -1*(2704997 - 0))*r. What is m rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7, 6 in ascending order.\nAnswer: -4, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**3 + z**2 + z - 1. Let t(v) = v**3 - 42*v**2 + 83*v - 48. Let n(d) = -2*f(d) - t(d). Factor n(p).\nAnswer: -5*(p - 5)*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.06 (b) 5 (c) 2\/15 (d) 7.66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 1183\/14 - 3\/6.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11802824 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-12 + 3 - (-3 + -4))) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.015 times -85107\nAnswer: 1276.605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14043 by 1.\nAnswer: 14043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*c**3 - 8*c**2 + 9*c**2 + 75*c**3 - 147*c**3.\nAnswer: -4*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 11*z**2 - 15*z + 33. Let u be t(12). Let v be (-736)\/(-176) - 2\/11. Let d = 91.1 + -91. Which is the nearest to d? (a) -1\/2 (b) v (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.13 - -0.13. Let y = -3 - -5. Let w = k + y. Sort 5, w, 2\/9 in decreasing order.\nAnswer: 5, 2\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -270 (base 12) to base 6.\nAnswer: -1420","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: What is the third biggest value in 116706, 3, 2\/17, -0.08?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b*c**2 - 936*b + 747*c**4 - 1239*c**3 + 421 wrt c?\nAnswer: 4*b*c + 2988*c**3 - 3717*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -467388 by -116847.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 11) in base 4?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/11902 and 59\/1126362?\nAnswer: 12389982","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 191471381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 383680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 27 = -3*v, -2*t + 1440 - 1429 = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68\/14*14\/2.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 4*h**2 - 10*h + 10. Let l be w(6). Let j(d) = -12*d. Let n be j(1). Let t = n + l. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00575 rounded to four decimal places?\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17677615 is divided by 841791.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (92\/(-12))\/(8\/(-24)). Let r(t) = 10*t + 77. What is the hundreds digit of r(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 24, 76, 170, 318, 532, 824?\nAnswer: 1206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 3*x - 81 = 0, -4*r - 194046 = 2*x - 194078 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -80 - -82. Put -13, 0, 4, a in decreasing order.\nAnswer: 4, a, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 32, 23, 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/3 bigger than 0.77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 4 (b) -392 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1730, -3387, -4954, -6419, -7770, -8995, -10082?\n\"Answer: 2*j**3 + 33*j**2 - 1770*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 o, and 2 f when four letters picked without replacement from kkffown.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 360 + -117. Calculate the remainder when y is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbscocbbowbwbw. What is prob of picking 1 w and 3 b?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1800 and 10530.\nAnswer: 210600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 77 and 2247.\nAnswer: 24717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8.3 in 103, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 1700 = 4*r, 6*r - 40*f = -35*f - 2550. Suppose -h - 5*y - 45 = 0, -2 = -5*y + 3. What is the hundreds digit of 40\/h*r\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -179\nAnswer: -6\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 438 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1725?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*y - 5*l - 32 = 20*y, -l = 5*y - 11 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 215306\/1031 equal to 210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -1 - 3*a + 5*a - 3*a - 6*a**2. Let z be 2\/(-4)*(-2 - 2). Suppose z*u + 7 = 3*g, 5*g + 25 = -2*u - 2*u. Calculate i(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1*12\/3)\/(-3). Let f(l) be the first derivative of -s*l - l**2 + 2 + 1\/2*l**4 - 2\/3*l**5 + 14\/9*l**3. Solve f(a) = 0 for a.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-0.1868\nAnswer: 0.0934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1702*s**5 - 2*s**4 - 2*s**3 - 154322*s**2 wrt s?\nAnswer: -102120*s**2 - 48*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + j)*(-12 + 7 - 9).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h. Let n be o(-1). Solve -4*i = -n*i - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -2. Let t = -1 + 3. Is t <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by ((-54)\/81)\/(4\/(-174))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**6\/24 - y**5\/3 - 5*y**4\/6 - 15*y**2. Factor m(s).\nAnswer: -5*s*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/31789, -0.3, -4, 8 in ascending order.\nAnswer: -4, -0.3, 6\/31789, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -525, -541, -581, -657, -781, -965, -1221, -1561?\nAnswer: -1997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 1820 = -786. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 1 = 2*u + 14, u = 4*f - 9 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 3:23 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24138)\/2235)\/((-8)\/20)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 21 = g + 6, 18 = 4*g - y. Suppose g*m = m. Let i be (m + 2)*(-2)\/4. Is i > -2\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 2) + 3 + 1. List the prime factors of s + -2 + -3 + 35.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.17 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 24678770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 29*g**3 - 12*g + 55. Let n(b) = 25*b**3 - 10*b + 55. Calculate 5*j(l) - 6*n(l).\nAnswer: -5*l**3 - 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4726, 8360, 11984, 15592, 19178, 22736, 26260?\n\"Answer: -r**3 + r**2 + 3638*r + 1088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/9 + 1796*m\/9 - 4832\/3.\nAnswer: 2*(m - 8)*(m + 906)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13594, 52509, 116742, 206293, 321162?\nAnswer: 461349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 0.4 (c) 664 (d) -27\/104\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6 - -16) + (-323)\/22 + 2 and -97\/2770.\nAnswer: 30470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3\/4, -0.3, -350 in descending order.\nAnswer: 1, 3\/4, -0.3, -350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-47)\/(-9) + 10\/(-45). Let l = -2 + 5. Sort 4, x, l in decreasing order.\nAnswer: x, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 12:20 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 10:41 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 11:43 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9246135 - 3?\nAnswer: 9246132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 438805 to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -k - 286*k**3 + 287*k**3 + 3*k**2 + 6 - 4 + 21*k**4 + 3*k as y*k**3 + c*k**2 + r*k + m + w*k**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.367989 or 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55531\/11 + 5046. Are p and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -594 - 2?\nAnswer: -596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 + -1)*7\/(-14)*-79. Let k = t + 265. Which is greater: k or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1974738487?\nAnswer: 2711, 728417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1645 rounded to three dps?\nAnswer: -0.165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 37*m - 189. Let k be z(5). Sort k, -73, -5 in descending order.\nAnswer: k, -5, -73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 711834.8nm in micrometers?\nAnswer: 711.8348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 105*q - 3. Let u(t) = 35*t - 1. Let d(a) = 17*u(a) - 6*z(a). Is d(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -121\/6 - 11\/3*a - 1\/6*a**2 = 0. Calculate a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104 and 650.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v + 53 - 161 = 0 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1, 0.0147.\nAnswer: 0.0147, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*l = 342, -2*l - 1184 + 308 = 5*n. Is -178 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*l - 29*l + 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 8220?\nAnswer: 57540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q - 3*q**2 - 12320 + 4*q + q.\nAnswer: -3*q**2 + q - 12320","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3)\/(63\/21)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 97156\/15 - 6483. Let b = -38747\/7260 + 147\/484. Calculate the common denominator of b and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 8 = -2*w. Let u = 864\/13 - 4807\/78. Is u less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-19099\nAnswer: 1909.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*u + 39*u - 436 + 28*u + 2*u**2.\nAnswer: 2*u**2 - 10*u - 436","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*m + m + 11 = 0, 0 = -4*x - 5*m + 13. Let r(q) = 17*q**2. List the prime factors of r(x).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226 a factor of 600187074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**4\/6 - 3*r**3 + 61*r**2\/2 + 2*r - 20. What are the prime factors of w(15)?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -11 - (128 + -53 - 60)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (64\/352)\/((-56)\/(-77)). Which is the fifth smallest value? (a) -1 (b) 0.02 (c) -31\/4 (d) o (e) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110001001011 - -10010100000110110?\nAnswer: 10000101111101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-8))\/((-336)\/448)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39290.67 + -39084. Let y = -207 + q. Which is smaller: y or 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -1.4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16.4 + -15.4. What is the nearest to b in 1, -0.07, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 6*d**2 - d + 7. Let t be l(-6). Let s = t - 10. Let a = 4 + s. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 639760 and 2630?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/15 - (-64)\/30)*125. Let f be x\/(-35) + 8\/56. Suppose 0 = -m + 2*a - 9, -3*m - 2*m + 15 = 2*a. Which is greater: f or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*i**5 + 681*i**4 - 3057*i**3 + 2595*i**2 - 228*i - 108 = 0 for i.\nAnswer: -9, -2\/13, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 31872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5\/2)\/(g\/g**(-1))*g\/(g*g\/((g\/g**(-2\/9))\/g)*g*g)*g**5 assuming g is positive.\nAnswer: g**(-41\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 1084, -3, -10, -0.4 in descending order.\nAnswer: 1084, -0.4, -1, -3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 987846 and 2147.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -191, -757, -1711, -3047, -4759, -6841, -9287?\nAnswer: -12091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -6. Let c(l) = -l. Let h(z) = -z + 2. Let a(n) = x*h(n) + 2*c(n). Let s be a(-4). Solve -s*m - 3*m + 2*q + 28 = 0, 5*m = -q + 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -213365*0.3.\nAnswer: -64009.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (136\/14)\/(24\/84). Let g = m + 38. Suppose -3 = 2*j + 7, -g*r - 3*j = 33. Let p(t) = -t**3 - 5*t**2 + 5*t + 6. What is p(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, 2\/15, -1.135, -2, 0.4, 0.06?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 e when four letters picked without replacement from {e: 8, m: 3, o: 7}.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -232.\nAnswer: 5\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**6\/24 + l**5\/60 - l**4\/3 + 4*l**3\/3 + 202*l**2 - l. List the prime factors of f(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 2:15 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + 66. Let f = 80.00324 - x. Round f to four dps.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 9*q**2 - 9*q - 8. Calculate the remainder when (3180\/(-8))\/(-5)*4\/6 is divided by a(7).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + x - 1. Suppose -30*t + 37*t - 35 = 0. Let y(f) = -5*f**3 - 4*f**2 - 5*f + 5. Give t*i(r) + y(r).\nAnswer: -5*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-1)*30*(-85)\/35700?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -18 - 1942. What is the highest common divisor of 35 and t?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3924*l - 2121 wrt l?\nAnswer: -3924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -13. Let b be 0\/(-1) + -1 + -1. Put s, b, 4 in decreasing order.\nAnswer: 4, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1\/4)\/k*k*k)\/(k*k**(-30)))\/(k*k*k**1)**45 assuming k is positive.\nAnswer: k**(-417\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47803409.\nAnswer: 47803409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*u - 7619 + 3551 - 20844. Calculate the remainder when u is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -264.93 and -47?\nAnswer: 12451.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**5\/5 - 201*v**4 - 80802*v**3 - 16241202*v**2 - 1026*v. Find s, given that o(s) = 0.\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -2*x**7\/35 - x**5\/30 - 6*x**2. What is the third derivative of b(m) wrt m?\nAnswer: -288*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -420043 (base 6) in base 12?\nAnswer: -17623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 13 = -4*c, 0 = 5*n - 4*n + 5. Suppose c*u - 3 = 9. Suppose -w + 4*j = 3*w + 12, u*w - 23 = -3*j. Solve -w*t = -4, -5*x + 2 = t + 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.348319 - 2.3663. Let f = y - -0.0175. What is f rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-132)\/2*(-2)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -7*x + 2*b + 40201, 0 = -x - 5*b + 8051. What is the thousands digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + sqrt(68) + 1 + 2) + 4 + -3.\nAnswer: -6*sqrt(17) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 6*b**2 + 8*b + 7. Suppose 3 = -u - 4. Let q be j(u). Let r(g) = 14*g - 7*g + 0 + q. Calculate r(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-288)\/(-8424)*-91*(-72)\/(-16)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/263, -0.5, 361\/29 in ascending order.\nAnswer: -0.5, -3\/263, 361\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((25\/10)\/(-5))\/((-1)\/8). Suppose -2*g + 0*y + 7108 = 3*y, 4*g - 14196 = i*y. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -11*y**4\/5 - 516*y**3\/5 + 698*y**2 - 3228*y\/5 + 53 = 0.\nAnswer: -53, 1\/11, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mssjjm. What is prob of sequence jmj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjjmjmmm. What is prob of picking 2 m and 1 j?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -26. Let r be (m - 1)*(-6)\/21. Suppose r*u = 287 + 1059. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 41.1883029?\nAnswer: 41.1883029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, g: 3, y: 2, p: 2, r: 3, j: 1}. Give prob of sequence gg.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 354 and 20.\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -75 + 75 - f**4 + (8*f**3 + 4*f**3 - 3*f**3)*(3*f - f + 0*f).\nAnswer: 17*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -19 + 12 + 169*n**2 - 313*n**2 + 5. Let m(s) = 13*s. Determine m(l(t)).\nAnswer: -1872*t**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2270645 bigger than -2270644?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 52\/3309?\nAnswer: 52\/3309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-30) - (-39)\/45\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 4964\nAnswer: -4963.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -39, -81, -129, -177, -219?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19722.7 - -19723. What is the nearest to 7 in 158, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -6.7. Let v be -6*(-1)\/(-2) - -4. Which is the nearest to v? (a) 2\/3 (b) -3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1196 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tffftttftata. Give prob of sequence faff.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and 11.0089.\nAnswer: 10.9089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 12:48 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = i - 12. Suppose i*d - 10*d + 35 = 0. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56592187 smaller than 56592185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 209*l + 11051. Give q(110).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**3*n - 6*k**2*n**2 + 18*k**2 + k*n**2 - 14099*k wrt k?\nAnswer: -12*k*n - 12*n**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*k - 10 + k - 3*k wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 9*a**2 + 9*a + 1. Let m be b(10). Let l be (0 - m)*(-1)\/(-3). Solve 4*w + 3*f = 5, 0 = -5*w + l*w - 4*f + 10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/(-210))\/((-31)\/186). Factor -t*c - 2\/7 + 2\/7*c**4 + 0*c**2 + 4\/7*c**3.\nAnswer: 2*(c - 1)*(c + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -7*l**2 + 58*l - 17. Let u(r) = -r**2 + r - 4. Give -k(t) + 5*u(t).\nAnswer: 2*t**2 - 53*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14220 (base 5) in base 14?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -38*h + 37*h + 1571, -1272 = -4*x + 3*h. What is the highest common factor of x and 1155?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1280))**2 + (-3 + 1 + sqrt(20))**2)*3.\nAnswer: -24*sqrt(5) + 3912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101122 (base 3) to base 11.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 3*b**2 + b. Let a(o) = -4*o**2 - 11. Let x = 23 - 45. Let u(j) = j**2 + 3. Let m(y) = x*u(y) - 6*a(y). What is 2*h(w) - 3*m(w)?\nAnswer: 2*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62458 and 784652?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-368)\/(-34) - (-486)\/2754?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 681727372?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*t + 161 = -344 - 188 + 234 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112617820 and 10932.\nAnswer: 3644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 136610 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*n = 51*n + 321. Calculate the remainder when n is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -4.5. Let p be -12*(155\/40 - 4). Let f = 0.37 + -0.07. Which is the biggest value? (a) f (b) p (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*(-1 - 0)\/(-2). What is the first derivative of o*t**2 - 1 + 0 + t**2 - 1 wrt t?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24 - 15)*11\/3. Is g less than 97\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-5)\/(30\/(-4)))\/(-73*(-67)\/(-63583))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 35*b. Let l(i) = 10*i**2. Determine f(l(p)).\nAnswer: 350*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 2)*-3 - -1. Let s = 5 - q. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 976\/(-10248)*(-28)\/212?\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14, 46, 74, 98, 118, 134, 146?\n\"Answer: -2*u**2 + 38*u - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 352 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -281*s**2 + 150*s**2 + 133*s**2 + 79*s**2. Let b(m) = -m. Calculate r(b(y)).\nAnswer: 81*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 4 - 7 + 20.\nAnswer: -3*f + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1, -18, -49, -92?\n\"Answer: -6*p**2 - p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**2 + b. Let m be (-2)\/(-4)*(2 - -4). Suppose -a + 3 = -c + 2*c, -3*a + 3*c - m = 0. Let j = a + -3. Determine p(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 5*v - 3. Let p(w) = 16*w**2 + 3 - 7 - 11*w**2 + 5*w - 6*w**2. Let h(z) = -3*p(z) + 4*q(z). Determine m, given that h(m) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1570 * 0.5\nAnswer: -785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**2 - 21*x**4 - 5*x**2 + x**2 + 19*x**4 + 14 to the form g*x + o + i*x**2 + u*x**3 + b*x**4 and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9745, -19431, -29057, -38623, -48129, -57575?\n\"Answer: 30*t**2 - 9776*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -4*l**2 + 948*l + 1912 = 0.\nAnswer: -2, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**3 - 2*r**2 + 7. Let m(s) = -12*s**3 + 9*s**2 - 28. Suppose 6*n - 1 = -13. Let y(w) = n*m(w) - 9*q(w). What is the derivative of y(c) wrt c?\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-16)*h**28*h*(h**(3\/7)*h)**(16\/9) assuming h is positive.\nAnswer: h**(979\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 59844132 and 2412?\nAnswer: 59844132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -43*x**2 + 922*x + 20. Let l(s) = 7*s**2 - 154*s - 3. Determine 2*g(d) + 13*l(d).\nAnswer: 5*d**2 - 158*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 7. Let r be 1 + 0 - (m + 3). Solve r*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21.957 + -0.043. Let l = u + 22.11. Let p = -0.110056 + l. What is p rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/3 and -131\/6234936?\nAnswer: 6234936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-5 - -6) - -61. Suppose -t = -3*d - 46. Let z be (1 - -1)*(-2)\/(-2). Solve -3*q - d = z for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 4:06 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 10*s**2 + 12*s - 10. Let a be r(4). Suppose a = -3*p + 873. Suppose 18*k - 13*k - p = 0. Solve -5*c - 25 = g, 0 = 5*g + 7*c - 2*c + k for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2135, 2137, 2149, 2177, 2227, 2305?\nAnswer: 2417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 664166463 to the nearest integer?\nAnswer: 25771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.42? (a) 0.1 (b) -5 (c) 0.07 (d) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 + -5. Calculate the greatest common factor of 168 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**2 + 14*x - 34. Let i be g(2). Let f = -13 - -19. Let n = -4 + f. Calculate the highest common divisor of i and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - 180680050.\nAnswer: -180680083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23002040\/7 or -3286006?\nAnswer: -23002040\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11511100 - -2?\nAnswer: 11511102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3.6 (b) 16 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/(-8 + (-420)\/(-48)))\/(42\/(-189))\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -614531*o + 2359809.\nAnswer: -614531","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1265015*c**2 + 22644*c - 8 wrt c.\nAnswer: -2530030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*p = -121 - 255 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*g + 2. Let k(f) = f**2 + 3*f - 2. Let q be k(g). Suppose -3*d = -2*m + q, 2*d - 7 - 15 = -m. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.14 + -0.44. Let s = 8 - 7.7. Which is the nearest to -1? (a) h (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 1 - 6. Differentiate b*v - 10*v - 6 - v wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*o + 3*o - 18, 4*c + 4 = 0. Let b = -225 - -899\/4. Let r = 0.03 + -0.33. What is the third biggest value in o, b, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*c - 75*c - 176 = 0. Let a be 215\/10 + (-8)\/c. Solve u + 5*k + 11 = 0, 3*k = -0*u + 3*u - a for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 + 24248*m - m**2 - 12129*m - 12119*m.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*d + 3228*d**3 - 3830*d**3 - 34*d.\nAnswer: -602*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 7*t + 3. Let l be j(-6). Let i(k) be the second derivative of -k**5\/5 - k**2\/2 + 10*k. Let u be i(-1). Sort l, u, -4 in descending order.\nAnswer: u, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**3\/2 - 3878897*w**2 - 38788951*w\/2 - 23273367 = 0. What is w?\nAnswer: -7757789, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.9 + 9. Let p be (-7 - 9970\/(-1430)) + (-4)\/(-22). Let y = -0.44 - -0.04. What is the third smallest value in p, y, t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(147) - (1 + sqrt(147)))*4 + -1)**2 + 4*(sqrt(147) + -1)*2.\nAnswer: 14 + 56*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 6\/(-2)*(156\/(-9) + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 4*r**2 - 4*r**2)*(r + 4*r - 4*r) + r**3 - 4*r**3 + 0*r**3 - r**3 + 0*r**3 + 3*r**3 + (-18*r - 15*r + 13*r)*(-4*r**2 + 2*r**2 + 0*r**2).\nAnswer: 37*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + ((-120)\/(-42) - -1).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-8\/7)*b**(-2\/17))**(-5)*(b**(2\/3))**(1\/76)*(b*b**(2\/7))\/b*b*b*(b**(-1\/4)*b)\/b*b*b assuming b is positive.\nAnswer: b**(-165005\/27132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, q: 5, j: 3}. Give prob of picking 3 j and 1 q.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 + 14*g**2 - 29 - 55*g**2)*(10*g**2 + 23*g - 23*g).\nAnswer: -410*g**4 + 20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -152 + 187. Suppose -40*m = -v*m - 1110. Is m a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvvbbv. What is prob of sequence bvv?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 9 - 24)*(-7*g**2 + 4*g**2 + 2*g**2) + 2*g**2 + 18*g - 18*g.\nAnswer: 46*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5 = -0*g + g, 2*w - 10 = 0. Let v = 0.06 - -0.94. Let m = -6 + 2. What is the nearest to v in g, -0.1, m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -12 + (-8)\/((-32)\/(-12)). Let a(f) = f**2 + 18*f + 50. Let p be a(l). Let k be 49 - (9 + -3 - p). Is 48 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/8 and 85\/87866?\nAnswer: 351464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366248 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -60 to the nearest integer.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 49697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 392 + 22368?\nAnswer: 22760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 10:06 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 21084*l**4 + 21054*l**4 + l + 2*l to the form b*l**2 + w + g*l**4 + t*l + s*l**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**3*w - 13*f**3 + 3*f**2*w + 307*f*w + 641*f + 1 with respect to w.\nAnswer: -f**3 + 3*f**2 + 307*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 34. Let o(a) = 827*a - 153. Give o(i(j)).\nAnswer: -827*j - 28271","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 999*j + 64555 + 133828 = -1233*j - 9193 for j.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 86 - -5?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 1\/12*w**4 + 5*w**2 + 0 + 1\/120*w**6 + 1\/12*w**5 + 0*w - 1\/3*w**3. What is p(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40860*i**3*u + 2*i**3 - 16014*i**2*u - i**2 - i*u - 2 wrt i?\nAnswer: 245160*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 5*x + 24, -x - 68 = -o - 64 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 9*y + 7. Let u be d(-7). Let s(l) = -l**3 - 18*l**2 - 35*l - 36. Let f be s(-16). Let q = u + f. Solve 24 - 4 = q*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37716 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -809.72861 minus 7698?\nAnswer: -8507.72861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by 5\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126 - -137) + -2 + -6 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 23\/161 - 86\/14. Let h be (-1)\/(-3) - (-8)\/n. Let i be 0*(3 - h - 5). Solve 3*w = -2*v - 0*w, -w = i for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b\/(b**(1\/4)\/b)))\/b)\/(b\/((b*b*b*b**(2\/15)*b*b)\/b*b)))\/((b*b**1)\/b*b**2) assuming b is positive.\nAnswer: b**(-97\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*g**2 + 11*g**2 + 2*g**2.\nAnswer: 26*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -627, -707, -777, -831, -863, -867, -837, -767?\n\"Answer: i**3 - i**2 - 84*i - 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3\/259 - -473\/3885. Which is the smallest value? (a) -2 (b) -1\/2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + 2 - (-53 + 73).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((1 + sqrt(19)*-3 + 5 - sqrt(171)\/sqrt(9)*3*-5)*-4)**2.\nAnswer: -133056 - 6912*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -3976568?\nAnswer: 1\/1988284","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2.2. Which is bigger: z or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50.8 - -40.8. Are -38 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f. Suppose -3*s - 45 = -5*o + 32, 0 = o - 4*s - 29. Suppose 5*a + 3 = o. Let u(q) = -4*q + a*q + 4*q. What is k(u(g))?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -104878010, -104878009, -104878008, -104878007?\n\"Answer: q - 104878011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = 20 - 6. Let q = 1.4 + -2.4. Which is the third biggest value? (a) y (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1188360 is divided by 1188262?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**0\/q))\/q)**(2\/17))**34\/((q**(-4)\/q*q)\/(q\/q**(-4)*q))**(1\/5) assuming q is positive.\nAnswer: q**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 + 20)\/5*(829 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1068?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 v when two letters picked without replacement from nfaaafavxadfaandvv.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 677440099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**3*s**3*y + 1097*i**3*y**2 - 2*i**2*s**2*y + 2*i*s**2*y**2 + 3*s**3*y**2 - 30*s**3*y wrt s.\nAnswer: 12*i**3*y + 18*y**2 - 180*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -2 - 1 - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -13*x - 8. Let g(s) = -259*s - 161. Let w(t) = 6*g(t) - 119*o(t). Let z(r) = 4*r + 7. Let y(a) = -3*w(a) - 5*z(a). What is y(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1*d\/d**(-2))\/(d*d**1\/d)**(-5\/6)*(d*d*d**(-6\/11))\/((((d*d*d*d*d\/((d**(-1\/6)*d)\/d))\/d)\/d*d)\/d)*((d*(d\/d**0)\/d*d)\/d)**14 assuming d is positive.\nAnswer: d**(565\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 70447.2l?\nAnswer: 70447200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/6 - 15\/(-9). Suppose 3*d - 5*v = 5 + n, -d = -v - 2. Suppose d*c + 2 - 8 = 0. Solve 0 = -g - c*o - 10, 0*o = -2*o - 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 3:49 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**7\/840 + 23*b**5\/120 + 10*b**4\/3 + 73*b**3\/3 - 139. Let y(i) be the third derivative of q(i). Differentiate y(w) wrt w.\nAnswer: 3*w**2 + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3*169*1. Let t = 52 - p. Is -3 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21293 is divided by 4229.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o**2 + 78*o + 8. Let r(m) = -m**2 + 26*m + 3. Give -3*k(z) + 8*r(z).\nAnswer: z**2 - 26*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1813187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**4 + 920*s**3 - 10848*s**2 + 43136*s - 57344 = 0.\nAnswer: 4, 448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n + 26. Suppose 0 = -6*u + 3*u - 3*k - 51, 23 = -u - 3*k. Let i = u - -30. What is the smallest common multiple of d(-12) and i?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 18*c + 733. Give t(-34).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 + -219\/4. Let w = 4 - 13. Let y = -9.2 - w. What is the smallest value in y, n, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(1 + sqrt(832)) - (sqrt(832) + 1 + sqrt(832) + 0))**2 + -2 - ((1 + sqrt(832) + 4 - 2*(0 + sqrt(832))) + -4)**2)*4.\nAnswer: 3648*sqrt(13) + 209848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38.28 - -39. Let k = d - 0.32. Which is the smallest value? (a) 0.1 (b) k (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 0.29?\nAnswer: -0.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -42122 + 303?\nAnswer: -41718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/(-16) - 2\/4 - 11. Which is bigger: -11 or p?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3587542 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: Find l, given that -2*l**4\/5 + 26*l**3\/5 - 22*l**2\/5 - 26*l\/5 + 24\/5 = 0.\nAnswer: -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + c = -904, -508*c = 5*y - 504*c - 884. Calculate the greatest common factor of 7500 and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6768 by -4.\nAnswer: 1692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2103 + 5648 + 6194*b + 2775 + 330 - 2132*b wrt b.\nAnswer: 4062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -975437 (base 10) in base 9?\nAnswer: -1746038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -500 and -473 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zn when two letters picked without replacement from {n: 3, z: 2, p: 4}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 755490751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 273 - -181179.65?\nAnswer: 181452.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -108638*a + 217283*a - 108644*a. What is x(-33)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43525?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/7 - 60\/42. Sort -3, -5, u in ascending order.\nAnswer: -5, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/7 + 17*1250\/5950. Find b, given that 2\/5*b**2 + 32\/15*b**3 + 8\/15 - 32\/15*b - 14\/15*b**y = 0.\nAnswer: -1, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (-2 + -5 - 0). What is the remainder when 4\/u - (-68)\/12 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 31*t**2 + 3*t + 2. Let m be n(-1). Let x = -11 + m. Suppose 1 + x = 4*q. Solve 2*a - 10 = -q*g - 41, 2*g + 7 = a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*d**2*g**2*j**3 + 57*d**2*g + 9*d**2*j + 91310*d*g**2*j**3 + 2*d*g*j**3 + d*g*j**2 - g wrt g?\nAnswer: 28*d**2*j**3 + 182620*d*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-9)*9 - 0. Suppose -3 = x, -2*x + 3*x = w*c - 33. Calculate the least common multiple of 4 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppup when four letters picked without replacement from puuupupuupuuuuupuu.\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.74 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 413 (base 8) to base 5.\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 7 = -y, -y - 2*j = 2*y + 6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -182 - -243. Let q = -61.4 + n. Which is the smallest value? (a) -0.02 (b) -9 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.28 * 3.2.\nAnswer: 4.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of p**4\/4 + p**3\/3 - 3*p**2\/2 - 38*p. Let n be m(2). Suppose 9 = -n*c + 16*c. Solve -c*i = -15 + 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13273 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1412100 (base 8) to base 16\nAnswer: 61440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -455*u**3 - 2*u + 198 + 457*u**3 + 100 - 111 + 176 + 9*u**2 as b*u**2 + v*u + w + r*u**3 and give w.\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/54 and 121\/30?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376401 is divided by 129?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-12))**(-24\/13) assuming i is positive.\nAnswer: i**(288\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-8) - -1 - (-994)\/56. What is the highest common divisor of 48 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.53 - 0.43. Let i = 8.3 - 8. What is the nearest to r in 0, i, -3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16334, 16330, 16324, 16316?\n\"Answer: -k**2 - k + 16336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s. Let d(w) = w**2 + 2*w - 135914. What is d(m(z))?\nAnswer: 4*z**2 - 4*z - 135914","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 9:07 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 2*m**2 - 1928*m - 124. What is y(45)?\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(32) - (sqrt(10)\/(sqrt(25)\/sqrt(5)))**2) + (-1*sqrt(96))\/(sqrt(48)*-2).\nAnswer: -6 + 9*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 256 - 256.5. Let s = 0 - -1. What is the second biggest value in -0.1, s, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5244?\nAnswer: 2, 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**3 - 15*w**2 - 5*w - 21. Let i be z(8). Solve -3*v = -7*v - q - 13, 17 = -v - i*q for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 14 - 6 + 9 - 18*j + 23*j. Let q(a) = -a**2. Give q(v(t)).\nAnswer: -25*t**2 - 170*t - 289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c = 8*c - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2618070132?\nAnswer: 2, 3, 5449, 40039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b - 74*b + 20 = -540 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(882) + sqrt(882)*-2 - (sqrt(18) - (sqrt(900) - sqrt(36))\/sqrt(2)))*1)\/((sqrt(96)\/sqrt(2)*1 + sqrt(48))\/(sqrt(392) - -2*sqrt(392) - sqrt(392))).\nAnswer: -28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449817860 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 7*u + 27. Let k be h(10). Suppose 0 = o + 2 - 4. Suppose -g - 35 = -o*f, f - 5*g + 95 = 6*f. Sort f, k, 2.\nAnswer: k, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 478286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -72*v**4 + 2*v**3 + 4*v**2 - 2*v - 18. Let t(y) = -y**4 + y**3 + 2*y**2 - y - 1. Let l(p) = -f(p) + 2*t(p). Differentiate l(u) with respect to u.\nAnswer: 280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*d*i + 1322*d - 492*i with respect to i.\nAnswer: 4*d - 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-40)*16\/((-20)\/5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/((-196)\/35) + (-30)\/(-4). Solve 0*z = -t*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 2\/3, 67.1259.\nAnswer: -12, 2\/3, 67.1259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 47999.725 less than 15?\nAnswer: -47984.725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 45, 64, 81, 96?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 50 - 14. Let x(q) = -2*q**2 + 58*q - 54. Let r be x(28). Let m be -6 + d + (0 - r). Is m bigger than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7038.2 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.09197ml in litres?\nAnswer: 0.09309197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k**2 - 3*k + 24. Let z(r) = r**2 + r. Determine -v(f) - 3*z(f).\nAnswer: f**2 - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 - -67. Let a = d + -23. What is the second derivative of -10*r**5 - 89*r**a + 5*r + 45*r**2 + 44*r**2 wrt r?\nAnswer: -200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + 2. Let o be 2\/u*(-5 - -13). Suppose 4*l = -3*p - 12, 4*p - o + 18 = 5*l. Put 1, l, 1\/5 in descending order.\nAnswer: 1, 1\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 32106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 2:03 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 10:46 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00031192354 to five dps.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, m: 1, q: 7, n: 1}. What is prob of sequence lnq?\nAnswer: 5\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a**2 + 17*a + 4. Let h be r(7). Let t = -21 - h. Suppose -10 = -t*b + 74. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k - 2. Suppose 0*t + 108 = 9*t. Let c be ((-30)\/t + 3)*6. Let a(v) = 2*v + 3. Calculate c*a(n) + 4*u(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(sqrt(100) - sqrt(4) - sqrt(4)))\/(sqrt(27)\/(sqrt(27)\/sqrt(3))) + -3.\nAnswer: -3 + sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 1 = 3*j, -64 = -5*m - 84 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 6*o - 4. Let y be q(7). Let j(g) = -3 + 7*g**2 - 1 + y. What is the units digit of j(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 3:55 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 17*o + 47. Determine l(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 - 3 = 16*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.051806 + 9.9482004. Let u = 9.83 + 0.17. Let k = s - u. What is k rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4*a - 3*a - 2)*(3 - 3 - 2*a - 8) in the form b*a + h*a**2 + x and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 248598.\nAnswer: 1988784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*w = 14*w - 323 - 4. Calculate the remainder when 36 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 8:01 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*u - 47*u = 1350. Let o be (u\/350)\/(9\/(-7) - -1). Solve 3\/2*v**3 + 0 - 3\/2*v**2 + 3\/2*v**4 - o*v = 0 for v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -287 - -283. Sort i, 4, 7 in descending order.\nAnswer: 7, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -1406*o - 12. Let g(w) = -5620*w - 45. Give -4*g(z) + 15*v(z).\nAnswer: 1390*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 21*h + 208. Give t(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 2 - 1)*26. Let p = r + 83. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -110 (b) -36802 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 96 + -97. Let k(l) = 3*l**2 - 4*l - 3. Let s(v) = v**2 - v. Let z(a) = c*k(a) + 2*s(a). Calculate z(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 v when four letters picked without replacement from svsvszvszsvvvvv?\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*r - 78. Suppose 0 = 8*g - 5*g - r. List the prime factors of (-464)\/(-11) + g\/(-77).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 20 = -r, r + 9 = -5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -2. Let h(p) = 1. Let k(d) = 0 + 4*d**2 + 2 - 6*d**2. Determine v*k(b) + 2*h(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*(sqrt(21) - sqrt(336)) - sqrt(21)) + (sqrt(1344) - (sqrt(1344)*-2 - sqrt(1344))))\/((sqrt(420)\/(sqrt(12)*-2 - sqrt(12)))\/sqrt(5)))**2.\nAnswer: 36963","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**2 - z. Let k be 3\/(-9)*(-5 - -5). Suppose k = 2*l - 2 - 0. What is t(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1300) + 6*(sqrt(1300) + sqrt(1300) + 0 + sqrt(1300)) + 1*-1*sqrt(1300) + sqrt(1300))**2.\nAnswer: 2346500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 4*x + 43, 38 = 2*q - 7*x + 2*x. Solve 4*y = q + 11 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (41\/493 - (-42)\/(-357))*2?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -12*q**2 - 16*q. Let a(x) = -4*x**2 - 5*x. Calculate 16*a(s) - 5*b(s).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.82 - -4. Let h = t + -0.148. Let d = 0.0361 - h. Round d to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = k + 2*k + 3*l, -2*l + 6 = 0. Suppose 2*m + 2*y - 12 = -2*y, k = 4*m - y. Find the second derivative of 1 - m*b**5 - 1 - 2*b wrt b.\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**2 + w**3 + 2*w**2 + w**3 + (w**3 + 2*w**3 - 2*w**3)*(-2 - 2 + 3).\nAnswer: w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6174*y + 9190*y - 5458*y + 6393*y to the form i + p*y and give p.\nAnswer: 16299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i - 6*i + 4*i + (2 - 5 - 8)*(-2*i - i + 5*i) + (i + 1 - 1)*(-3 + 4 + 1) to q*i + p and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 25 divided by 54337\nAnswer: 25\/54337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c - 1. Let j be q(3). Suppose j*w + 0 = -22. Let r = w - -13. Which is smaller: r or 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/1 - (17 - 20). Let u be 386\/(-6)*(-5 + b). Suppose j + i = -12 + 79, 5*i + u = 3*j. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b + 1706 - 25*b**2 - 124*b**3 + 26*b**2 - 3411 + 1705.\nAnswer: -124*b**3 + b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -21*p + 22*p + g, -2*g = -2*p + 34 - 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 4:42 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000103444 rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from adjdiiidda. Give prob of sequence iiad.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 1:42 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uyynuucylyl. Give prob of picking 1 y and 1 u.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 times -0.0641?\nAnswer: 9.615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**5 - 36*q**4 - 120*q**3 - 184*q**2 - 132*q - 36.\nAnswer: -4*(q + 1)**3*(q + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.036, -5, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-76)\/114)\/((-10)\/9)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 23\/8 of a gram?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*a + 3*w, 0*a = -5*a - 3*w - 7. Let o be 8\/(-9 + a)*-49. Calculate the greatest common factor of o and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m. Let s(x) = -1964850*x**2. What is s(p(j))?\nAnswer: -1964850*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17684027033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -55*f**4 - 192*f**3 + 21*f**2 + 89057856 wrt f?\nAnswer: -220*f**3 - 576*f**2 + 42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 323, -0.2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 17*a - 36. Let r(b) = -b**2 + 8*b + 14. Let j be r(-3). Let y be c(j). What is the fourth biggest value in 0.4, 3\/4, y, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 2\/13, -1, -1\/6, 54\/11, -16\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79841 is divided by 26603.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, i: 2, j: 2}. What is prob of picking 1 j and 1 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 409 + -405. Solve -w - 1 = -b - r, 2*b - 1 = -5*w for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3777, 3778, 3779, 3780, 3781, 3782?\nAnswer: 3783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-153398)\/42 + (-4)\/6. What is t rounded to the nearest 100?\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*o**5 + 10854965*o**4 - 146573207*o**2 wrt o?\nAnswer: 300*o**2 + 260519160*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -686 - -884. Calculate the greatest common factor of 44 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 103*c**3 + 10310*c**2 + 48118429 with respect to c.\nAnswer: 309*c**2 + 20620*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9806 divided by 345?\nAnswer: -9806\/345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 14*y**2 - 7*y - 23. Is b(-14) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 65*(-36)\/(-1053)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21984 and 687?\nAnswer: 21984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*p - 0*p - 75 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 9 - l + 3*l in the form d + r*l and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((2 + (sqrt(2057) - sqrt(2057)*-2))*-4)**2 - (-1*(sqrt(2057) + -1 + sqrt(2057)) - (sqrt(2057) - (sqrt(2057) - sqrt(2057)*1)*3)))*-2.\nAnswer: -592548 - 4290*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9 + 3*(-3 + 4 + -2). Suppose -d*s - 7 = -7*s - c, 2*s = 5*c. Solve -s*v = 3 + 17 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*h**2 - h + h - 47*h**2 as a*h**2 + x + b*h and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 + -12634503?\nAnswer: -12634460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51850744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 - -37 - 7) + 2 + -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 7*j - 1, -27 = 6*y - 2*y - 5*j. Let h(b) = -8*b - 77. Calculate h(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 30. Let s be (-3)\/f + (-9)\/(-2). Solve 6 + s = 3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2*b)**44)**(3\/31) assuming b is positive.\nAnswer: b**(396\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j - 42. Let g be k(-15). Find the first derivative of 15*c**4 - 15 - 37 - 1 + g*c**2 wrt c.\nAnswer: 60*c**3 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)\/sqrt(4))\/sqrt(11) - ((sqrt(2) - 1*sqrt(2))*-5)**2)*-6.\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -43. Calculate the highest common divisor of s and 150.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2. Let b(o) = -2*o**2. Let u(q) = -13*a(q) + 6*b(q). Let r(w) be the first derivative of w**2\/2 + 1. Determine u(r(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -48*c + 407. Give j(7).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 5*h + 3. Let f be w(-5). Let n(i) = -4*i**2 - 4*i + 5*i**f - 6*i**3 - i**2. Let c be n(-4). Do c and 6\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 4:11 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 0. Let h be (-3)\/(-6)*0*1. Let x be h + 2 - 0\/1. Sort c, 4, x in descending order.\nAnswer: 4, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 839505117.\nAnswer: 3, 11, 47, 541267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1872, -47, -0.3, 0.1 in increasing order.\nAnswer: -47, -0.3, 0.1, 1872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 5*m - 4*m + 133, 5*h = -4*m + 326. What are the prime factors of h?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/10 and -11\/4170.\nAnswer: 4170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24288 - -104712. Suppose 5*h - g = 8*h. Round h to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b - 4. Let h be o(-4). Suppose -3*l + h = -0*l. Suppose 30*s + 22 - 34 + 132 = 0. Put 0, l, s in increasing order.\nAnswer: s, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9049699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*n + 312 = -4*y, 120427*y = 120432*y - 3*n - 63 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 14. Let u be (-2)\/11 - (-2)\/n. Let q = 2 + u. Solve 0*k - 10 = q*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t + 1. Let b(p) = -7*p + 5. Let o(h) = 8*h - 6. Let c(q) = 4*b(q) + 6*o(q). What is c(s) + 16*v(s)?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -282 * 37.\nAnswer: -10434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3914*q**2 + 24*q - 15. Is a(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 18 + -1 + 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 10 = 5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 12)*(4*q**2 - 4*q**2 - 2*q**4) + (-165*q + 36 - 36)*(-2*q**3 + q**3 + 2*q**3).\nAnswer: -183*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.58 + -0.58000027. What is j rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-585)\/(-60) - 8) + (-3)\/4. Suppose -94 = -4*b + 70. Let j = 124\/3 - b. Which is greater: j or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppzezzzypzemypmppp. What is prob of picking 1 y and 1 p?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77 - 65. Let m = -190 + 204. What is the smallest common multiple of o and m?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33.76 + -33.7. Which is the second biggest value? (a) -3\/2 (b) q (c) 14 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4946.\nAnswer: 2, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 7)*(-1)\/(-3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m - 28*m - 15*m - 8*m + 56*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -7*y**3 + 4*y**2 + 5*y - 3. Let m(x) = -13*x**3 + 7*x**2 + 9*x - 6. What is 6*m(c) - 11*v(c)?\nAnswer: -c**3 - 2*c**2 - c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.16 and 11415827350?\nAnswer: 11415827349.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fc when two letters picked without replacement from {f: 1, x: 2, k: 1, c: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.561 - 0.461. What is the second biggest value in 4, -15, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 3*u + i, 12*u = 14*u - 3*i - 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 26074942 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -i**5\/60 - i**4\/8 + 2*i**3\/3 - 5*i**2 + 7*i. Let k(d) be the first derivative of a(d). Determine h, given that k(h) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 a when three letters picked without replacement from {w: 7, a: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 1280*r**5 - 118560*r**4 + 2781645*r**3 - 1652825*r**2 - 916320*r - 95220 = 0.\nAnswer: -3\/16, 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 6*v + 2. Calculate the remainder when b(4) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-862 - -748) + (-6 - -193).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 24\/5, -471, -2, -4 in decreasing order.\nAnswer: 24\/5, -2, -4, -471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*t = 23 - 1, -5*b + 3*t + 29 = 0. Let g be 17\/17*(1 - -2). Is b < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 797862266.\nAnswer: 2, 398931133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bw when two letters picked without replacement from bbbbbbbbbbbw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57\/30587 - -2663058124\/519979. Let n = d - 2419723\/204. Let k = n + 6734. Calculate the common denominator of k and -29\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*h**3*u + 7527*h**3 + 50*h*u**4 - 2*u**4 wrt u?\nAnswer: 4*h**3 + 200*h*u**3 - 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a factor of 127052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -28*c + 25*c + 2*r, -3*c + 5*r + 15 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -16*n**7\/7 - n**6\/3 + 382*n**3\/3 - 340. What is the third derivative of z(a) wrt a?\nAnswer: -1920*a**3 - 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -269.39953306 + -4.\nAnswer: -273.39953306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 12:53 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5*g - 31. Let o be n(-7). Suppose o*w = f - 52, -3*f - w = -4*w - 129. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/(sqrt(24)\/(sqrt(56)\/sqrt(7))))\/((3*sqrt(243) - sqrt(3))*3).\nAnswer: sqrt(13)\/78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17*(-31)\/((-29512)\/840)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008719899 rounded to five decimal places?\nAnswer: -0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)*2*4)\/(sqrt(1331) + -3*sqrt(1331) + sqrt(11)) + (2*-3*sqrt(7200)*1)**2.\nAnswer: -8*sqrt(2)\/21 + 259200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0567 to 3 dps.\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.008524 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48296?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 203189648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (0 - -3 - 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -9*m - 11. Suppose -c = -2*l + 4*c + 10, 0 = 3*l + m*c + 6. Suppose l = 4*y - 3*g + 4*g - 2207, -1654 = -3*y - g. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18.6 - -19. Which is the closest to -0.2? (a) y (b) 4\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -513, -1, -0.5, 68.9, 3, -4?\nAnswer: 68.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 198046 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**5\/7 + 32*h**4\/7 - 21*h**3 - 2558*h**2\/7 + 5312*h\/7 + 32640\/7 = 0.\nAnswer: -34, -8, -3, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + (-27 - -23)*9\/12. Solve -z*o - o = -p - 11, -2*o + 10 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 19*y - 49. Let t(o) = -o**2 - 3*o - 17. Let b(p) = p**2 - 12*p - 17. Let u be b(13). Let m be t(u). Is j(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + -5 + sqrt(405)*-2 + -5 - (4*sqrt(35)\/(sqrt(7) + 2*sqrt(7)) + -4))*-2.\nAnswer: 12 + 62*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*g + 45 = -b, 0 = b - 2*g + 66. Let n = b - -68. Suppose -26*f = -32*f + 384. What is the highest common factor of f and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 155 - 469 - 600*r**2.\nAnswer: -600*r**2 - 593","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1275 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 4. Suppose 4*r + 28 = -4*k, 0 = -r - 4*k - 18 - o. Let z be r*(-2)\/((-4)\/3). Which is smaller: z or 2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1218179110.\nAnswer: 2, 5, 19, 6411469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 + 38. Which is the third biggest value? (a) 2\/9 (b) 2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 630 = -5*w, -3*w + 2*y = 2*w - 618. Let v(m) = w*m - 122*m + 2*m**2. Let i(j) = 25*j. Let o(h) = -3*h. Let r(l) = 6*i(l) + 51*o(l). Give v(r(t)).\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4*(6 + -6). Suppose -k = 3*o - 2 - 17, 5*o + k - 33 = y. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (-1 - 3*-1). Differentiate -1 - n + q + 3*n with respect to n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1059.\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 273, 1630, 3871, 6990, 10981, 15838, 21555?\n\"Answer: -y**3 + 448*y**2 + 20*y - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**2\/21 - 10856*u\/21 + 33704 = 0.\nAnswer: 66, 5362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -56914143832662 - 0.2\nAnswer: -56914143832662.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 25 (b) 1049 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -5*v**2 + 26*v - 27. Let o be y(4). What is the second smallest value in -2, o, 0, 1\/6, -6.8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 at most 263\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76 and 304?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6*u + 16 = 0. Let d(m) = -10*m + 1. Let a be d(1). Let z = u - a. Let g(c) = c**2 - 7*c + 1. Calculate g(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 + -42.3. Let f = k + 0.2. Which is the smallest value? (a) 4 (b) 2\/43 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-103)\/(-21) + (2\/(-21))\/(-1). Solve 2*l - 3*n + 8 = 17, i*l = 3*n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 93230428?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**3 + 16*v**2 + 73*v - 368. Give j(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 48\/5 + 2\/5. Is (-1)\/(-5) + 618\/z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 c when two letters picked without replacement from cuiccccuccccitic?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3476802 is divided by 93.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68301404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/8, -0.2, -3494, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2817*a**4 + 968*a*n**3 - 2*a*n + n**3 + 5*n**2 - 2839212*n wrt a.\nAnswer: -11268*a**3 + 968*n**3 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 992368489 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**5 - 4*p**2 - 6*p - 2 + 6*p**4 + 17*p**3 + p**5 - 13*p**3.\nAnswer: 2*(p - 1)*(p + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(68) - (3 + 4*sqrt(68))) + (sqrt(68) + -1)*6 + 2)**2.\nAnswer: -2644 + 336*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - (4\/30 + 30686\/30). Let h be i\/(-135)*(2 - 1)*5. What is the highest common factor of 874 and h?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-10) - 1\/(-5). Let h(i) = i - 9. Let v be h(11). Sort 5, f, v.\nAnswer: f, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-168)\/(-40) + -9)*15\/(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 15, q: 5}. Give prob of sequence ffqq.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**3\/3 - 3*n**2\/2 - 2*n + 20. Determine c(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 53781 and 66.\nAnswer: 1183182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -39 (b) 3\/2 (c) 12 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11, 6, 27, 52?\n\"Answer: 2*l**2 + 11*l - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 7:10 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53*v*w**4 + 16*v*w - 2*v - 6*w**4 + 5 wrt w.\nAnswer: -636*v*w**2 - 72*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 476.1846593847?\nAnswer: 472.1846593847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (468\/(-27) + 7 + 10)\/(1\/81).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21618 + 4?\nAnswer: 21622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 - 0.4. Let j be ((-8)\/14)\/(42\/(-49)). Let b = 1 + -2. What is the biggest value in j, b, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 65 (c) -10\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 575*m**2*p - 13*m**2*w**2 - m*p*w**2 + 8*m*w**2 - 3*m + 2*p*w**2 - 4 wrt m?\nAnswer: 1150*p - 26*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*n + 42*n + 3, -147692 = -j + 3*n. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -832 - -595. Let a = d - -496. What is the greatest common factor of 37 and a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -143891*a - 1143. Let l(s) = -252*s - 2. What is -1143*l(w) + 2*o(w)?\nAnswer: 254*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-15)\/(1 + 4) - -6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20294?\nAnswer: 2, 73, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (30\/4)\/((-93534)\/26724)\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 9*u - 14. Suppose 20 = -4*n - 4*r, 0*n - 16 = 5*n + 2*r. Let p be k(n). Which is the nearest to p? (a) 6 (b) 0.5 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2998, 2536, 1758, 658, -770, -2532, -4634?\nAnswer: -7082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 885*f + f**3 + 2 - 8*f**2 + 0 + 80*f + 94*f**2.\nAnswer: f**3 + 86*f**2 + 965*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-8 - -6) + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) + -6*sqrt(245) - sqrt(245))**2 + 2)*6*-4 - ((-3 + (sqrt(245) - sqrt(245)*3) - (5*sqrt(245)*3 + sqrt(245))**2) + -4).\nAnswer: -149001 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 29 = -5*q, -3*q + 2*q + f - 4 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -699 + 769. What is the highest common factor of d and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5276 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1410323 is divided by 470097.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -411, -2, 26 in descending order.\nAnswer: 26, -2, -411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 129*h + 264. Determine g(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, k: 1, s: 2}. What is prob of sequence sxs?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10110021121 (base 3) to base 5\nAnswer: 4134002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x\/x**(-4)*x)*x**(-4\/9))**23 assuming x is positive.\nAnswer: x**(-1334\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -2. Let x = -90 + 97. Suppose 4*m - x = -5*l - 25, 0 = 4*l - 5*m - w. Let o(g) = -2*g**2 - 1. Determine o(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 - -50. Let h(y) = 2*y**3 + 2*y**2 - y - 1. Let f be h(k). Suppose -2*u + 0*u = 5*v - 6450004, 4*u = -f*v + 2580008. Round v to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 6. Suppose -18 = -2*s + 3*q, v*s - 5*s = q - 11. Suppose -z = s*d - 0 - 3, -1 = 4*d + 3*z. Solve d*m - 4 = -0*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -0.3. Let g = 0.7 - t. Let v = -0.336 + -2.664. Is g greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = f - 2*f + 4*k, -2 = -2*f + 2*k for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*p + 102 = 599 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 13 = -3*d, -4*f - 13 = -3*d - 42. Suppose 0 = h + 2*q - f, h - 4*q + 3 + 7 = 0. Suppose -1743 = -3*s + 4*l, -3*s + l = h*l - 1743. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*q - 4879 = -11*q. Solve -4*x + q = -5*u, 0 + 16 = 4*x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28477 divided by 5\nAnswer: 28477\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 1 = -2. Let b(h) = 10*h**3 - h**2 + 2*h - 1. Does 6 divide b(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -5*u**4\/4 + 20*u**3 - 120*u**2 + 320*u - 71. Determine i, given that z(i) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*o + 28*o - 41*o)*(-3*o**3 + 2*o**3 + 5*o**3).\nAnswer: 24*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1551221.\nAnswer: 7, 221603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160388*a - 160379*a - 45 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2 + (sqrt(245) - -5*(-1 + sqrt(245))) + (sqrt(245) - (-2 + 1*sqrt(245))))**2.\nAnswer: -84*sqrt(5) + 8816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5874257119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 21*r - 25*r - 5*v, -12*v = 5*r - 60 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 128*h + 46*h - 155*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000 + -120001120?\nAnswer: -120002120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2343095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 16*m - 7. Let v(k) = -43*k - 2924. What is the remainder when v(-70) is divided by h(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2062461 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5846 is divided by 1399.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -7161?\nAnswer: 7160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1864 + 3729. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 84261259*v**2 - 750*v - 11031 wrt v.\nAnswer: 168522518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3566 times -604?\nAnswer: -215.3864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*(403\/26 - 15). Let i(k) be the first derivative of 0*k**3 + 0*k + 24\/5*k**5 + 19\/2*k**2 + d*k**4 + 2. Find the second derivative of i(z) wrt z.\nAnswer: 288*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/20 and 29\/11064?\nAnswer: 55320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 5450144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121 + 126 + 1 + 13 - 6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 91078 (base 11) in base 2?\nAnswer: 100000100001000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38319844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*g + 3*g - 2*g to the form j + n*g and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 + -59.61. Let b = c - -16.61. Let m = b + -16.9999961. Round m to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2\/7, 1\/3, 0, 4 in decreasing order.\nAnswer: 4, 1\/3, 2\/7, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -r + 4*y, r = 6*y - 4*y + 135. Calculate the common denominator of 23\/7 and 2 - (5 + (-275)\/r).\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -5*g. Let s(m) = m. Let h(v) = -k(v) - 2*s(v). Let r(a) = -2*a - 2 + 2. Calculate h(r(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3374, -6747, -10120, -13493?\nAnswer: -16866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 u when two letters picked without replacement from ciuiuj.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + d + 11 = 1, o + 5 = 2*d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -45.685479\nAnswer: -45.685479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*u + 28*u - 4*u - 2*u in the form f + t*u and give t.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10\/959 (b) 4\/3 (c) -0.144\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 b when three letters picked without replacement from bbuuyububbyyuyb?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -727 = 23*u + 1343. What is the remainder when 57 is divided by (8\/(-24))\/(1\/u)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a + 0*a**2 + 22 + 11*a**2 - 2*a**2 - 5*a**2. What is the hundreds digit of b(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2 + 7*d - 9*d + 15*d. List the prime factors of n(5).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-4 - 0)\/(-4)). Suppose 4*s - 8 = -0. Let q = x + s. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398.8884 rounded to the nearest ten?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 7*w - 5. Let x be (8 - 1) + 4\/(-4). Is i(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62.81*-2623\nAnswer: -164750.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 3*f - 2*f - 40, -4*p + 4*f - 64 = 0. Let l be 512\/(-32)*1\/p. Factor 1\/3*v**2 - l + v.\nAnswer: (v - 1)*(v + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s - 20. What is r(-9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 12, -7 = -q + 2*f + 2. Let c be (-231)\/(-9) - 2\/q. Solve 2*t = 7*t - c for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d**3 + 2*d**2 - 24*d - 2. Let k(a) = 11*a**3 - 5*a**2 + 74*a + 6. What is -7*g(c) - 2*k(c)?\nAnswer: -c**3 - 4*c**2 + 20*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 5*v**3 - 755*v**2 + 5090*v - 7200 = 0?\nAnswer: 2, 5, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55816462?\nAnswer: 2, 13, 2146787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 96 (b) 11 (c) -706\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -565028 divided by 282514.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*s**3 + 16*s + 10811 - 10811 - 16*s.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -44*j + 26. Let h(f) = 5*f - 3. Let s(y) = y**2 - 21. Let q be s(0). Let l = q - -27. What is l*w(o) + 52*h(o)?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r - 4*r + r + (-2*r - 4 + 4)*(-4 + 3 + 0) - 3*r - 5*r + r + (0*r - 2*r + 3*r)*(2 + 10 - 4).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*v + 10, v = -3*s + 4*v + 9. Sort -1, 4, s in ascending order.\nAnswer: -1, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 11*c**2 + 12*c + 15. Let a be x(-10). Let m = a + 8. Suppose 4*z - 2*z**3 + 2 + 2*z**3 + 0*z**3 - 2*z**4 - 4*z**m = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (14 + 10)*2\/(-4). What is the common denominator of -13\/2 and -1 - ((-1)\/j)\/(384\/6680)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 2\/125 (c) -17 (d) -1\/5 (e) -0.5 (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -20. Let z = 8 + -6. Let j(t) = t**3 - 4*t**2 + 2*t + 2. Let i be j(z). Is u less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0*v = 16. What are the prime factors of (-1)\/v + (-525)\/(-28)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 8\/5*x - 4\/5*x**2 + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 3:28 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.1 + 0.96. Let t = f + -6.86. Let a = -3 - t. What is the closest to 3 in -1\/6, -3\/4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 28848*j + 57903. Give g(-2).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o. Let l(u) be the first derivative of -51*u**2\/2 - 34. What is k(l(i))?\nAnswer: -102*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 19*n**2 + 10*n + 30. List the prime factors of b(-4).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/24)\/((-2)\/(-372)). Suppose 0 = -z*m + 14060 - 4791. List the prime factors of m.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 8*u - 7. Let h(f) be the second derivative of 5*f**4\/12 + 41*f**3\/6 + 18*f**2 + 4*f. Let l(t) = -2*h(t) - 11*j(t). Give l(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -1\/48*w**4 + 0*w**6 + 0*w + 0 + 1\/672*w**8 - 1\/210*w**7 + 0*w**3 + 3*w**2 + 1\/60*w**5. Suppose a(q) = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100100011201120 (base 3) to base 14.\nAnswer: 932c40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/42*6\/10?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6577023 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1317468 or 0.62?\nAnswer: 0.62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 5*i - 10. Let u = 22 - i. Suppose -u = l - 2*l. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 a factor of 1922846849?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one eighths of a milligram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, h: 1, u: 1, e: 2, a: 3, c: 2}. Give prob of picking 1 a and 1 h.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*b, 30 = 2*y - 4*b + 4. Suppose -2*i + y*p = 11, 2*i - 3*p + 9 = -i. Let z = -1 - -21. Solve -2*k + z = i*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 48690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 607577?\nAnswer: 37, 16421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + c + 4. Let m be g(0). Suppose m*x = x - 3, 5*b = -4*x - 14. Let w be ((-6)\/6)\/(1\/b). Solve 3*a - w = 2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5103) - sqrt(5103)*3)*1 + sqrt(5103) + -1*sqrt(5103)*2 + sqrt(5103).\nAnswer: -54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 24388560.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71 + 3362. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 5*u**4\/24 + u**3\/2 - 7*u**2. Let r(i) = 6*i + 4. Determine 5*c(d) - 4*r(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*j)*(0 - 1 - 5).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/50 + (-2)\/10. What is the smallest common multiple of 8 and 7 + (-1 - w - 3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 o when three letters picked without replacement from cipop?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 50*m**2 - 550*m + 6. Let a be q(11). Let z(w) = -7*w + 6. Let s(b) = 6*b - 7. Give a*z(u) + 5*s(u).\nAnswer: -12*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*6*((sqrt(171) + -2*sqrt(171) - sqrt(171)) + sqrt(171))*3)\/((sqrt(99) - -2*sqrt(99)*-1 - sqrt(99))\/((sqrt(11) + -1*sqrt(11) - sqrt(11))*4)).\nAnswer: -144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cj when two letters picked without replacement from {j: 2, c: 4, m: 6, d: 1}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) + (sqrt(36) - sqrt(72)\/sqrt(2))*3 + -3*sqrt(1764))\/(2*(-2*sqrt(1452)*-2 - sqrt(1452))).\nAnswer: -10*sqrt(3)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 1:00 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**4 - 33*c**3 + 967*c**2 - 224208.\nAnswer: -4*c**3 - 99*c**2 + 1934*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002911586663 to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 3*l**4\/2 + 48*l**3 - 1800*l**2 + 12096*l = 0.\nAnswer: -56, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4, -5*j + 95*i = 99*i + 272. Let z be (-27)\/6*(0 - 14). Let h = z + j. Solve -l + h = 3*w, 0 = 5*w - 0*w - 3*l - 21 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*y**2 - 7 - 3 - 4 + 18 - 5.\nAnswer: 88*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2683.73 rounded to the nearest ten?\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/10382808 and 101\/6620.\nAnswer: 51914040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -16784?\nAnswer: -16784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*d**2 + 56*d**2 + 12*d**2 + 5 + 40*d.\nAnswer: 92*d**2 + 40*d + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 4*w - 2*w + 2, 0 = 2*i + w for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44.7 - 43. Let s = -1 - o. What is s rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 2 + 6 + 120*o.\nAnswer: 120*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -29, -89, -189, -341, -557, -849, -1229?\nAnswer: -1709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 + 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1922878?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d + d - d + (0 - 4 - 14)*(-2 + 5 - 1)*(d - 3*d + 5*d).\nAnswer: -110*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -119 - 25. Let y = l + 141. Which is the nearest to 1\/7? (a) -2 (b) 0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6998*a = -7235*a + 2607 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -69*(-380)\/3496*2\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 9:30 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*b**2*s**3 + 4085*b**2*s**2 - b**2*s - 153*b*s**3 - s**3 wrt s.\nAnswer: 24*b**2 - 918*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + -7. What is the third smallest value in -2\/5, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*k**4 - 785*k**3 - 24*k**2 + 296*k wrt k.\nAnswer: -624*k - 4710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 126c97 (base 13) to base 8\nAnswer: 1542545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 2*a + 2*a. Let w be (-700)\/40*(-8)\/28. Suppose 2*m - 18 = -c, -w*m = -c - 0*m + 11. Calculate the remainder when a is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.2 (b) 16\/9 (c) -0.297 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.71569 millilitres to litres.\nAnswer: 0.00571569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 + -28. Suppose -4*l = -3*l - i. Solve -l = 4*v - 2*p, v + 3*p - 14 = -0*p for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14341 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*r + 79*r = -c + 11, 39 = 4*c + 3*r. Calculate the remainder when 49 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11)\/(14\/(126\/(-99))). Which is the biggest value? (a) -0.1 (b) -2\/19 (c) 0.3 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11 - 99056d?\nAnswer: -990580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 0.27328 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, r: 7}. Give prob of sequence rraa.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 62 = -2*q + 6*f, q - 3*f = 33. Let l(a) = -32*a - 81. Let d = 278 + -281. Let m be l(d). Solve -4*x + 3*s - 2 + q = 0, -5*s + m = 5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 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: Let a(g) = -g**2 - g. Let t = -162 + 165. Give a(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**4 + 8*v**3 - 24*v**2 - 64*v + 128 = 0?\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -95983488.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279 = -7*p + 43. Let o = p + -3. Let l = o - 42. Is l smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-42))\/(-2)*42\/18?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 1:40 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 21 + 15. Suppose -136 = 2*c - b*k, 5*c - k + 3*k = -280. Let z = c - -57. Let l(m) = 2*m + 2. Let r(y) = -y + 1. Determine z*r(j) - l(j).\nAnswer: -j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 84926.07 millilitres?\nAnswer: 84.92607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1 + 5*(1 + sqrt(1008) + -1))**2.\nAnswer: 480*sqrt(7) + 25216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164 - 39 = -26*o - 135 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of u**4\/8 + 15*u**3\/4 + 21*u**2\/2 - 136*u. Factor y(f).\nAnswer: 3*(f + 1)*(f + 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2512918 - 2513236 = -53*j - 106*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2018 or 181?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/152 and -109\/12.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 8 = -i. Let c = -5\/89 - 2917\/356. Find the common denominator of 2\/i + (-381)\/(-18) and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -102? (a) -2 (b) -91 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80.30679 + -80.3. Round z to 4 decimal places.\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 21 = 2*v, -44 = -932*v + 937*v - 4*t for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 180015, 360040, 540065, 720090?\nAnswer: 900115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 13*g**2 + 4*g. List the prime factors of o(13).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -687000 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/463 (b) 12 (c) 1\/2 (d) 2 (e) 2\/165\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 4:12 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 13*l + 10*l = 31464, 5*o - l + 39330 = 0. Let i = 110191\/14 + o. Calculate the common denominator of 95\/84 and i.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 9*b + 2. Let g be q(9). Suppose 0 = -i + g*i - 2. Suppose 4*f + 1 - 17 = 4*j, -2*f + j = -7. Solve -13 - i = -f*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 288 and 27.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**3)\/l*l*l)**(-3\/11)\/((l*l\/l**3)\/l*l*l**7) assuming l is positive.\nAnswer: l**(-81\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 - 123696*o**2 + 247400*o.\nAnswer: -2*o*(o - 2)*(o + 61850)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6035 and -109478.\nAnswer: 66069.973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -31\/120*l**6 + 0*l - 9*l**2 - 10\/3*l**3 + 0 + 0*l**5 + 0*l**4. Find the first derivative of y(f) wrt f.\nAnswer: -93*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**2\/3 - 10*o\/3 + 8 = 0.\nAnswer: 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 42263 * 0.2\nAnswer: 8452.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -12. Let g = 25 + s. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 432 = 76*l - 74*l - 4*y, 4*l - y = 836. Calculate the lowest common multiple of l and 160.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29580 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6861592291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 2:39 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 112557 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a factor of 67962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 287\/(-28) - (-2)\/8. What is the units digit of (-30328)\/(-80) + 1\/s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1\/8 (b) 5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2 (b) -5\/9 (c) -17 (d) -0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -3. Calculate the smallest common multiple of 10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*c + 5780, -43*q - 3847 = -2*c - 46*q. What are the prime factors of c?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/12 - 5*7\/(-210).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 2*h**2 - 3*h - 9. Give n(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 17*h - 47 = 12*h, 2*l - 2*h - 10 = 0. Solve -l*v + 14 = -18 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(6\/15))\/((-5)\/(-50)). Let j = -21 + o. Suppose l = -j*d + 2*d + 3, d - 2*l = 14. Solve a = -3*a - d for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*w = -38*w - 124 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7244*(-2 - (-4)\/4 - (4 - 7)).\nAnswer: 2, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 3, m: 15}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1125, 1814, 2503, 3192, 3881, 4570?\nAnswer: 5259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/35, -2\/3, 0.51?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -22 (b) -5 (c) -3\/2 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73896 divided by -12316?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -3. Let q = 79 + -84.78. Let j = q + 5.98. What is the fourth smallest value in -2, -1\/2, l, j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -5*k - u, -5*u - 8 - 11 = k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -12. Let p be 3*(f + 0)\/(-9). Sort -5, -4, p.\nAnswer: -5, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4*s - 5*s + 3*s)*(-19 + 4*s**4 + 19).\nAnswer: 8*s**5 - 8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91 + 90.8. Let s be 673\/(-1428) + (-2)\/(-8). Let h = -4\/51 - s. What is the closest to -2\/7 in -4, f, h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*f - 100000. Round f to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**3 - 4*n**2 - 2*n + 1. Let d be s(-2). Let m(y) = 19*y**3 + 5*y**2 + 6*y + 1. Is m(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -149.915 - -168344.1?\nAnswer: 168194.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 4)*(383*y**2 - 854 + 854 + (-1 + 2 + 2)*(y - y**2 - y) + 0 - 2*y**2 + 0).\nAnswer: -1134*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 96*g**2 - 525*g + 1392. Determine f(101).\nAnswer: -628","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 10*q**2 - 5*q + 12. Calculate g(10).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -7 - (-1 - (-7 + 1))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 4*r**2 + 3. Suppose 0*n = 3*n + 12. Let l be q(n). Let u(v) = 3*v**2 + 2 + 6*v**3 - 7*v**l - v + 6*v. What is u(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*w = 60*w - 26*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37\/5 or -365?\nAnswer: -365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -5767990 < -109591813\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 64ac06 (base 15) in base 8?\nAnswer: 22225506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - -db1?\nAnswer: da9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 41.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8\/3, -2\/5, -62?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/(-14) + 2\/(-7). Suppose -5*i = -i - 4. Let s be i\/((-3)\/(-6)) + -5 + -1. Sort s, 1, q in ascending order.\nAnswer: s, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-2) + (-100)\/(-36). Let l = -647 + 646.7. Let y = 0 - 4. Which is the third biggest value? (a) l (b) y (c) x (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 4*o + 69. Suppose -7223 + 2623 = -o*d. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6683094 and 2.\nAnswer: 13366188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*q - 5*c - 23, -3*q - 3*c - 6 = 0. Let u = -1419 - -1517. What is the greatest common factor of u and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*x + 29*x + 176. Let q = x + 46. Which is the biggest value? (a) q (b) -0.1 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136628143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 42 = -5*x - 38, -3*x + 92 = 4*q. Let f(v) = -2*v**2 - 44*v + 51. Let u be f(-23). Let z = q + u. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 (base 6) in base 8?\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 5*l - 37, -56*s - 6*l + 6 = -52*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - j + 5 + (5 - 2 - 1)*(-5 - 1 + 2)*(j + 4*j - 3*j) to the form w*j + v and give w.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1013, 1017, 1021, 1025, 1029?\n\"Answer: 4*i + 1009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (217\/14)\/(3\/6). Let k = q - 30. What is the units digit of (4 + -1 + 4)\/k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56829924 divided by 6.\nAnswer: 9471654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 + 29 + 18)*(-7398*k + 3*k**3 + 7398*k + 60*k**4) to the form g*k**4 + z + u*k**2 + s*k + v*k**3 and give v.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1*0.0559\nAnswer: 0.0559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 283 + 68*x - 143*x + 179*x + 133 wrt x?\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123230021 (base 4) in base 13?\nAnswer: -3c815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 609*x + 2058*x**3 - 3901*x**3 - 154*x wrt x.\nAnswer: -11058*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 575326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + q + 53 = 0, -2*s - 59 - 46 = 3*q. Let z be s\/(-8)*(-120)\/(-9). Suppose -6*c - z = -36. Which is smaller: -11 or c?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l + 1. Let h = 33 + -33. Let g = -4 + h. Determine b(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 625 + 21. Let z = w + -881.8. Round z to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1193, 1221, 1273, 1355, 1473, 1633?\n\"Answer: o**3 + 6*o**2 + 3*o + 1183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*(-3*u**2 - 2*u**5 + 3*u**2) + 7*u**3 + 8*u**5 - 7*u**3 + (0*u + 0*u - 2*u**3)*(75 - 75 + 6*u**2).\nAnswer: -2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700) + (sqrt(1700) + (sqrt(1700) + -2 - sqrt(1700)))**2 + sqrt(17) + sqrt(833) + sqrt(833)*3 + sqrt(17).\nAnswer: 1704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*i - 229, 6*l = 2*i + 2*l + 118. Let u = 213 - i. Calculate the highest common factor of 240 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from momoomommmmmmpoopmm. Give prob of sequence opoo.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 85*b + 1504. Let v be o(-15). Solve 0 = -2*t, -4*h + t - v*t = -16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3538 - 3537.9. Let x = -0.3 + -0.7. Which is the third smallest value? (a) j (b) -1\/8 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-36) + -8)*7380\/(-74415).\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26783784031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*z + 86*z - 40*z - 2*m = 0, -3*z - 3*m = 27 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.51592 millilitres in litres?\nAnswer: 0.09751592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9754.4 - -9754. Which is the nearest to -241? (a) -0.3 (b) 4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1021028576 - -1021028716.0000234. Let r = j - 140. Round r to six decimal places.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -269*18.89.\nAnswer: -5081.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 169, 344, 519, 694?\n\"Answer: 175*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**5\/12 + 175*h**4\/12 + 115*h**3\/2 - 89*h**2 + 3*h. Suppose y(q) = 0. Calculate q.\nAnswer: -69, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*n - 1221 = -1088 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 13*a + 11. Calculate the remainder when j(-10) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*l - 21 = 0, 2*i - 16 = -2*i + 2*l. Let j(u) = -3*u**2 - u + 12*u**2 - 14*u**2 - u**i + 4. Give j(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*b = -180*b - 6. Suppose -q + 6*q - 15 = 0. Solve -b*d = -q*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -384 - 73. Let h = -224 - r. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 9*c**2 + c + 10. Let j be o(-9). Solve 0 = i - j + 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3068823 is divided by 792.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 3:51 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 1742 = 16*i. Let q = i + 134. Let p be ((-6)\/14)\/3*-1. Which is greater: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1)\/((s*s**(3\/2))\/s)*(s\/s**(-6\/11))\/((s*s**(-8))\/s))**0 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 377498 and 8415?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 54444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7562.99990398 - -7563. Round m to six dps.\nAnswer: 0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*h**3)*(3 + 0 + 1) - 2 + 11*h**3 - 9*h**3 + 3.\nAnswer: -6*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 134 and 91991?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*((-4 + 5 + sqrt(288) + 0)*5 + 4))**2*3.\nAnswer: 405000*sqrt(2) + 2730375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 1:48 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 571 + -568.09. Let x = 0.09 + h. Let w = 2203\/9 - 245. Which is the nearest to -1? (a) w (b) x (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113, -265, -407, -533, -637, -713, -755, -757?\nAnswer: -713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2094329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11 + 2 - -4)*(-1 - 0). Let u(y) = 3*y - 2. Give u(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -2\/5, 1\/5, 18942, -16, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -7*v - v + 3*v + 3. Let c(n) = 11*n - 7. Let i(z) = -3*c(z) - 7*y(z). Let m(g) = 5*g**2. What is m(i(s))?\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2aa (base 15) to base 10\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -53, -92, -147, -212, -281?\n\"Answer: w**3 - 14*w**2 - 4*w - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33223390?\nAnswer: 2, 5, 239, 13901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 741?\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8558568 and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 5:37 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4\/(n**2*n)*n**(1\/6)*n*n**(3\/5))\/(((n\/n**1*n)\/n)**44\/((n*n*n\/(n**(3\/8)\/n*n*n)*n)\/n**6)) assuming n is positive.\nAnswer: n**(-73\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12*1 + (-14)\/427 + (14 - 9807\/427). Factor -8\/5*q**2 - 2\/5*q**x - 21\/10*q - 9\/10.\nAnswer: -(q + 1)*(2*q + 3)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(5) + 2 + sqrt(5) + -2 - (-1 + 3*sqrt(5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a - 1. Suppose 2*f + 3 = -x + 19, -f + 2*x = -3. Let s = f + -13. List the prime factors of y(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24778?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 653 or -117?\nAnswer: 653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 111030003 (base 4) in base 8?\nAnswer: 251403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)*2 - sqrt(180))\/sqrt(10))\/sqrt(576) + (-1*(1*sqrt(160) + sqrt(160)) + sqrt(160))\/(sqrt(15)\/sqrt(3)*-6).\nAnswer: 19*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16.461 - -16.4934. Which is the biggest value? (a) q (b) -3 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, 1559.89, -15?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6\/23, 1, -2\/5, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - ((-7 + 1 - 0) + 11 - 4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*3\/(-24)*(12 - 342\/28).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 220 and 40?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2135128.629 rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**34\/m**(-4\/17)*(m\/(m*m**22)*m)\/m**(2\/37) assuming m is positive.\nAnswer: m**(8291\/629)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/15)\/(11\/(330\/4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8409827477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -6208*n - 18618. Calculate y(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 86?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 - 4*4\/8. Let a(d) = 256249*d**2 + 2*d + 8. Let t be a(c). Round t to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-136)\/12*6\/(-1).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -45711*u - 2. Let r(j) = 3*j + 55. Determine r(y(f)).\nAnswer: -137133*f + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35749, -73752, -111755, -149758, -187761?\nAnswer: -225764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykkkkykkkk. What is prob of sequence kk?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*h + 57 - 13, 5*h = 5*m + 60. Calculate the highest common factor of 9 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -805139, -3220571, -7246285, -12882275, -20128535, -28985059, -39451841?\nAnswer: -51528875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -78 - -90. What is the second smallest value in a, 5, 1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2\/11, -1\/3 in ascending order.\nAnswer: -1\/3, -2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1508715, -1508709, -1508703, -1508697, -1508691?\n\"Answer: 6*g - 1508721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*a = 0. Let k(c) be the third derivative of -1\/15*c**5 + 0*c**3 + 0*c**4 + 0 + a*c + c**2. Let n(f) = -2*f**2. Calculate k(n(u)).\nAnswer: -16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 5:16 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*-4*(-18)\/(-40))\/((42\/(-21))\/(-40)).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1565*h = -781*h - 785*h + 5731. What is h rounded to the nearest one hundred?\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2541 is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-11) - 1200\/66. Let i be (5\/(-15))\/(1\/k). Which is smaller: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ueueuup. What is prob of sequence euu?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*w + 9*w + 40 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*p**2 - 128*p**2 - 128*p**2 - 33 + 949*p**2 - 126*p**2 - 130*p**2 - 311*p**2.\nAnswer: p**2 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/17))**(1\/75)\/(m**(-1))**(-3\/10) assuming m is positive.\nAnswer: m**(-769\/2550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1998 divided by 333?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.006 - 0.006. Let p = -3\/46 + -31\/230. Which is the third smallest value? (a) p (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/1)\/((10\/55)\/((-792)\/726))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (558\/(-192))\/3. Let r = 61\/96 + q. Which is the nearest to -0.1? (a) -3 (b) 1.1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cjpp when four letters picked without replacement from ppccjcppccc?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 181968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5452604*i**2 + 1336*i - 8. Let u be z(4). Round u to the nearest 1000000.\nAnswer: 87000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -57*s + 208. Solve -2*z = -6*z - r - 20, -s*r - 12 = -z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -490 by 5.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*c + 9*c. Suppose -3*w + c = -6. Suppose 4*m - 42 = 2*s, -w*m = -4*s - 4 - 32. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 + -2 + (2 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 836132, 836139, 836146, 836153?\nAnswer: 836160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 546 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (0 - -8) - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -306 + 313. Let p(u) = 2 - 10*u**2 + 3*u**2 + 6*u + 4 + u**3. What is the tens digit of p(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 70*i**2 + 26*i + 203. Is 119 a factor of m(70)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, b: 1, e: 2, o: 1}. Give prob of picking 1 e and 1 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 102 - 83.9. Let x = 20 - h. Let b = 0.9 - x. What is the second smallest value in -0.3, b, 6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.44 - -6.44. What is the closest to o in 0.2, -5, -0.57?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 30*m**2 - 85*m - 7. Give d(5).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 6*f**2 - 3*f + 5. Let w be o(5). Let g = w - -29. Let n(y) = y + 6*y**2 + 3 - 6 + 2 + y**3. Calculate n(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1. Suppose y = 7*o + 16 + 47. Suppose z + 10 = -t, -5*z + 3*z - 5*t = 26. Which is greater: z or o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49792 and 3890.\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((6*1*sqrt(128)*2)**2 - (2*(sqrt(128) + -3) + -4)) + 4.\nAnswer: -16*sqrt(2) + 18447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 445258553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59 - 144 - 136 - 318)*(9*m**4 + 3*m**4 - 7*m**4).\nAnswer: -2695*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/422 - (-11452)\/(-38402)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 78*n + 12. Let o be x(-1). Let m = o - -124. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*o - 158 = 187 - 40 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2 + 27 = 0. Suppose p*i - 9 = 2*i. Put 5, -3, i in ascending order.\nAnswer: -3, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 460.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 39 (b) 2\/7 (c) 81 (d) -3 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1211001 (base 4) to base 7.\nAnswer: 24564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -3, 213, 21, -1329 in increasing order.\nAnswer: -1329, -5, -3, -2, 21, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2*k - 6, 3*d - 4*k + 2 = -2. Find the common denominator of 11\/44 - 234\/d and 28\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**3 + 399*f**2 + 909*f wrt f?\nAnswer: -6*f + 798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15355942, -15355941, -15355940, -15355939?\n\"Answer: f - 15355943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/455*((-17)\/9 + 3)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + 0)*(-10)\/(-4). Solve -4*d - 9 = k*p, p - 5*d = -3*p - 40 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 6)*(-4*c**5 - 3*c**5 + 4*c**5) + (c**3 - c**3 + 2*c**3)*(3*c - 3*c + c**2).\nAnswer: 20*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1508*z**2 - 6006*z**2 + 54*z + 1496*z**2 + 1503*z**2 + 1500*z**2.\nAnswer: z**2 + 54*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**5 - 42489*u**4 - 22301361*u**3 + 44730201*u**2 - 22386348*u = 0. Calculate u.\nAnswer: -13617, -548, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*303\/(-90) - (-10)\/(-100). Is 53 a factor of (64 + 201)*14\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1302 + 0?\nAnswer: -1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.19597 to three dps.\nAnswer: -0.196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 16) to base 14\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2224 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34 or 176\/5?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**2 - 272*i - 4624 = 0. Calculate i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f - 7. Let u(o) be the third derivative of -o**3\/6 + 5*o**2. Let r(p) = 4*u(p) - x(p). What is the first derivative of r(m) wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 + 53*t - 39 + 18 as o + u*t and give u.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -19*q**3 + 4*q**2 - 6*q + 2. Determine r(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 13 - 2*l - 35*l.\nAnswer: -37*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 0*c**2 - c**2 + 3*c**2 - 1 + 0*c + 6*c + 3*c. Suppose 0 = -2*q + 22 - 30. Calculate m(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (0 - 0) - -2. Suppose -l*y + 3*y - 2*g - 16 = 0, 5*g - 5 = 5*y. What is the tens digit of ((-8)\/y)\/(6\/495)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 132 (b) 17.997 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*g + 12 - 3 = 0, -1 = -2*n - 3*g. Let j = 399 + -245. Let d = j + -133. Calculate the remainder when d is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k - 6*k = 100. What is the least common multiple of k and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387 is divided by 123.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7698\/(-16) + -4*3\/(-96). Let g = n - -675. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 6 + 0 + (7 - 2 - 3)*(1 + 0 - 3))*(2*a - 5*a + a) to the form g + t*a and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 80205124 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -0.2 (c) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -72794a2?\nAnswer: -72794a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -636393878 less than -494.23?\nAnswer: 636393383.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.9 from -245.35.\nAnswer: -247.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -n + 11, 24*o - 2 = 23*o. Let b(x) be the first derivative of 30 + 1\/3*x**n + 4*x**2 + 7*x. Calculate b(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (700\/1700*60\/70)\/(-3).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**6\/(z*z**(-6))*z**(-5\/3)\/z**(-1) assuming z is positive.\nAnswer: z**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/29, 4, 42.2703?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 1:33 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**5\/10 + 13*o**4\/12 + 2*o**3\/3 - 3*o**2 + 3*o + 8. What is g(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 - -49. Let m be (r + 1)\/(1\/2). Solve 0 = 5*f - m*p + 24, 2*p = -3*f - 2*p - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-312)\/(-182))\/((-48)\/(-2688)).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11 (b) 1.2 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does -32617 = -293560\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-2))\/(-1)*2. Let f be 2 + (-9)\/3*o. Let v = f - 5. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*k = -2*r + 16, 3*r = 2*k - 6. Let n = -4 + k. Solve t - 4 + 7 = -3*w, 0 = 4*w - n*t + 14 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3948.12 rounded to the nearest 100?\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33399 is divided by 16158?\nAnswer: 1083","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -167 divided by 93\nAnswer: -167\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/11 (b) -1 (c) -1\/1291 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-4))\/((-336)\/(-1152)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 12*z**3 - 15*z**2 - 8. Let c(h) = -5*h**3 + 7*h**2 + 4. Let j(g) = 5*c(g) + 2*r(g). Calculate j(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11084634 and 6534.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1433 + 1437. Solve 0 = k*a + r + 7, 0 = 17*a - 12*a - 3*r + 13 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8920 = -13*n - 8985 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a factor of 21962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 48177 divided by 85?\nAnswer: 48177\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3990 + -3988. Solve -4*b - 22 = d*n, 0*b - 7 = n + b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**6\/120 - 7*m**5\/60 - 5*m**3\/6 + 2*m**2 + 375. Calculate f(5).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*g - 6 = 146*g, -3*g + 11 = 4*y. What is the fourth biggest value in 0, y, -61\/4, 3\/4, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (11 + 3) - -2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 14. Let l be d(11). Suppose l*b + 4*w = -b - 8, 5*b = 2*w + 18. What is the first derivative of 12 + 0*g**b + 2*g**2 - 10 wrt g?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -603 + 603. Solve -2*m - 3*k = -3*m + 5, m + k - 1 = u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008063482 to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3555858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b + b + b)*(233*b**2 - 9*b**2 + 108*b**2) to the form y*b + f + g*b**3 + q*b**2 and give g.\nAnswer: 664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3625.84ng in kilograms?\nAnswer: 0.00000000362584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1 - -12 - (-34037 - 544)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2 + 845*d - 822317. Calculate m(-683).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -18445 (base 10) to base 5\nAnswer: -1042240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - 4 - 1\/(-1). Suppose -2*f = -6*f + 8. Sort t, 3, f in ascending order.\nAnswer: t, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-470)\/94*(216\/10)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f + f + 10*f + 5*f + 10*f - 39*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/171157 and 5\/23203999.\nAnswer: 162427993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52 - (3 + -2 + 4 + -7)) + 0 + 6?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23318, 23200, 23180, 23306, 23626, 24188, 25040?\nAnswer: 26230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/9539 or -1?\nAnswer: -4\/9539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*r + 107 = -53. Let s be ((-18)\/(-8))\/(r + 296\/(-64)). Solve 0*b - 2*b - s = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3261148.\nAnswer: 2, 11, 137, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11229570 by 627.\nAnswer: 17910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 73, 225, 521, 1009, 1737?\nAnswer: 2753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -15 (b) 3\/7 (c) 1\/2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/((-10)\/(-80)*-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-46)\/(-161) + 24\/14. Put 1, -0.1, z, -5 in descending order.\nAnswer: z, 1, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32165?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**2 - 52*v + 19. Is r(21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1162*b**2 + 2315*b**2 + 263*b**2.\nAnswer: 3740*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 199554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**2*j**3 - a**2*j**2 + 801*a*j**3 + 28*a*j**2 - 2 wrt j.\nAnswer: 6*a**2 + 4806*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**3 + 62*s**2 - 12*s + 194. Let h(l) = -l**2 + 2*l - 2. Let o be h(2). Let y = 2 - o. Calculate the remainder when a(-21) is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -0.19 (c) -2 (d) -0.1 (e) -39\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a day?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/(-7))\/(18\/(-9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 + 4*t + 6. Let l(j) = -1 - j**2 - 7*j - j + 7*j. Let g(i) = 4*l(i) + r(i). Let g(b) = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -416.86508048061 - -44.76494687121. Let p = -5.8998679606 + k. Let a = -378 - p. Round a to 7 decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 103 - 101 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, -3, -3389\/2.\nAnswer: -3389\/2, -6, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) 3\/4 (c) -143.6 (d) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -272\/9*r**2 - 458\/9*r**3 - 8*r**5 - 58\/9*r - 104\/3*r**4 - 4\/9 = 0.\nAnswer: -2, -1, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 3*a**2 - 2*a + 4. Let r be z(3). Let l be -2*((-10)\/(-4) + r). What are the prime factors of l\/(2*(-2)\/32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 6*x - 3*x - 6 - 6*x. Let h be v(-2). Let t = 3 - 9\/4. Which is smaller: t or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9531 and 16275771.\nAnswer: 48827313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24414*y - 24299*y + 48939*y = -678 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a. Let t(q) = -41*q + 2. What is k(t(y))?\nAnswer: -82*y + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 333*k**2*r**2 + 247*k**2*r - 28*k**2 + 130*k*r**3 - 2*k*r wrt r?\nAnswer: 666*k**2 + 780*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*1980\/(-126) + 14.\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yoooooyyoooo. Give prob of sequence yoyo.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 472, 483, 506, 547, 612?\nAnswer: 707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9263567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (196\/10)\/(((-492)\/287)\/(90\/(-21)))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2bb (base 12) to base 4.\nAnswer: -12233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1335 - -2?\nAnswer: -1333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1278423736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12246.87 rounded to the nearest one hundred?\nAnswer: 12200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 137\/3 (b) -2 (c) 0.1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -9 + 1 - 5 + 51*h - 49*h. Let s(x) = -2*x + 3. Let p be s(-3). Let z be y(p). Solve -k = 2*k + 5*r + 32, 5*r = z*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -206*c**3\/13 + 188*c**2\/13 + 18*c\/13 = 0. Calculate c.\nAnswer: -9\/103, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 34754 = -c + 12165, -3*f = -4*c + 187676. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -8*n**2 + 25*n + 11. Let o(q) = -4*q**2 + 13*q + 5. Let f(j) = -9*o(j) + 4*z(j). What are the prime factors of f(7)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jqqjqqqqppdqdqpjqjqd. Give prob of sequence ppjj.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 + 42 = 3*k. Suppose 3*t = g + 44, 0 = -2*g + 7*g - 4*t + 198. Let u = k + g. Calculate the highest common factor of u and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80648 + 59527 = 15*s. What are the prime factors of s\/40 - (-3)\/8?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - 1 - (2 - 2). Suppose 3*t + 9 - 21 = f. Suppose -t*h + 8*h = 56. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 108768?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 9, -13, 3, 1442 in decreasing order.\nAnswer: 1442, 9, 3, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -r - 18, -3*r = r + 4*m + 8. Let c(v) = 70*v**2 - 27*v - 1. What is the tens digit of c(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355725 < 356134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13709.20027 rounded to one decimal place?\nAnswer: 13709.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 207367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccc. Give prob of picking 3 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22\/(-20) + (-1)\/(-2). Let d = -0.6 - -0.8. Let w = -3.2 - -3. Sort h, d, w in decreasing order.\nAnswer: d, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.79 + -9. Let j = -1.51 - s. Is 0.1 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w**3 - 3394 + 3388 - 2*w**2 - 3*w + 4*w + 25*w**3 to the form c*w**2 + m*w**3 + k*w + j and give m.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**2)**23)**(-50))**(3\/8) assuming p is positive.\nAnswer: p**(-1725\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7890\/245)\/(88\/3794). Let x = 1388 - h. Calculate the common denominator of x and 39\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k - 12. Let t be a(5). Let n = 4 - -1. Let h = t + n. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 360 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y, 4*j - 397*y - 10 = -203*y - 199*y + 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, -1, 9\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 686463717?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -82 - -250. Does 42 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 - 4655970*w - 4655965.\nAnswer: -5*(w + 1)*(w + 931193)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27857*f**4 - 50*f**3*h - 3219*f**2*h - 243*f**2 + 2*f*h wrt f?\nAnswer: 668568*f - 300*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**3 + 4*b**2 - 5*b - 6. Determine s(-4).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2e52 (base 16) to base 6.\nAnswer: 130522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 40*z + 17. What is the tens digit of r(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108036.5 millennia in centuries?\nAnswer: 1080365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5517967 is divided by 613107.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - ((3 - (-3 - -6)) + -64)) + -18.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19573714?\nAnswer: 2, 47, 208231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d - -16b76?\nAnswer: 16b85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 867960.\nAnswer: 2, 3, 5, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f + g = -f - 2, -f = -2*g + 11 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(468) + 3).\nAnswer: 9 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 16 = -3*h, -m + 5*h = -6*m + 20 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 197305275559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 306 and 137734.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 5*c - 6, 5*h - 2*c = -207 + 193 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 228383402?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -27?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 2:26 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)*-1*-3 - sqrt(209) - sqrt(209))\/(sqrt(99)*-5).\nAnswer: -sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3281, -3729, -4475, -5519, -6861, -8501, -10439?\nAnswer: -12675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 411*t - 409*t + 8*t**2 + 824*t + 51.\nAnswer: 8*t**2 + 4*t + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, x: 4, h: 9}. What is prob of picking 3 x and 1 h?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9139, -9126, -9103, -9070, -9027?\nAnswer: -8974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1068420?\nAnswer: 2, 3, 5, 17807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 192 - 152. Suppose 5*v - n = a, 6*a = 7*a. Calculate the smallest common multiple of 442 and v.\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-2) + (0 - 2). Let m be (-2)\/(-1 - (0 - l)). Let o = 8 - m. What is the smallest common multiple of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5849452\/15 smaller than 389962?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 7:40 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1325 + -1?\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 - 27*o**2 - 60*o - 36.\nAnswer: -3*(o + 1)*(o + 2)*(o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2775476516 to the power of 1\/3, to the nearest integer?\nAnswer: 1405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 2339043?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4264901 bigger than 4264899?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i + 3854*i**3 - 6*i - 1197*i**3.\nAnswer: 2657*i**3 - 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2442*s**3 - 4575*s**3 + 1174*s**3)*(3*s + 2*s - 4*s) as z*s**4 + h + x*s**3 + j*s + r*s**2 and give z.\nAnswer: -5843","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3 - 2*c + 2 + 144*c**2 + 146*c**2. What is the remainder when m(1) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1012)\/495 + 6 + -4 - 0.\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45413186.\nAnswer: 2, 7, 13, 47, 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/80)\/1*(-4)\/(-10).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, a: 3, d: 3}. What is prob of picking 2 a and 1 n?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (s**2 - 3*s**2 + 4*s**2)*(-7 + 10 - 5)*(2*s - 8*s + 3*s)*(-s + 0*s - 3*s)*(-4 + 3 + 2) in the form a*s**3 + k*s + o*s**2 + p*s**4 + l and give p.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.2 + 7. Let r = 0.3 - c. Suppose -2*x = -2*w - 14, -10 = w + 2*x - 15. What is the nearest to 1\/4 in 0.5, w, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a century?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-six fifths of a meter?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-12) + 274\/8. Suppose -4*v + 82 = 5*i, 2*i - v + l = 4*i. What is the least common multiple of i and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g. Let f be b(9). Suppose 0 = -2*r + 3 - f. Sort 10, r, -5, 2.\nAnswer: -5, r, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.7 + -0.4. Let v = 0.5 - 1. What is the closest to -1 in v, n, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*s + 17 + 19 - 44 wrt s?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -445 and -4.41176386091?\nAnswer: 440.58823613909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11402319793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 6, 5 in descending order.\nAnswer: 6, 5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -14*n**2 + 2*n - 2. Let y(f) = f - 1. Calculate -g(t) + 2*y(t).\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(2\/3))\/h)\/h*h\/h**2)**(-10\/7)*h**5*(h\/((h**(-3\/5)*h)\/h))\/(h*h**1) assuming h is positive.\nAnswer: h**(883\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 8*v + 48. Let l be g(12). What is the highest common divisor of l and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-882)\/60 + 15 - (-2 - 1397\/110)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 474.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**3 - 154*p**2 + 2412*p + 416. Calculate y(55).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 16 = 4*c, c - 5*u + 0*u = 24 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*d = -138, -5*k + k + 2*d + 532 = 0. Solve 6*u + 98 = k for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2320*a - 319. Suppose 106*g - 260 = 41*g. Let u(z) = -29*z - 4. Give g*k(c) - 319*u(c).\nAnswer: -29*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69717 and 2193.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 5*s. Let n be d(5). Suppose n*p = -4*p + 4. Is 706*-4*p\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 860034 is divided by 5443.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 139587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6648 is divided by 2180.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 721977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = -5*y - 4*r + 55, -4*r + 1 = -3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-49 - (-2 + -20))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d + 4. Let v be i(0). What is the highest common factor of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 6:04 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27762617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11739 + -7840. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*n**5 - 18*n**2*t + 39*n*t + 5*t wrt n.\nAnswer: 80*n**3 - 36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0547077341 and 358509.\nAnswer: 358508.9452922659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 9*u**2 - 7*u - 8. Let q be w(8). Suppose 2*h - 26 = 3*c, 2*h = 4*h + 5*c + 6. Let y = h + -4. Solve -1 = -q*b + b, -y*b = g + 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**2*t**(-4))\/(t**(-5)\/t**0)*((t\/(((t*t**(3\/2))\/t)\/t*t))\/t**(-3\/4))**(2\/27) assuming t is positive.\nAnswer: t**(217\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i - 5. Suppose -11*f = -12*f - 5*b + 438, 2232 = 5*f + 4*b. Suppose f*l = 453*l + 20. Give q(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222*j = -233*j + 14058. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 606 = 61*y + 40*y. Does 398\/61 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**2\/4 - 57*c\/2 - 3249\/4 = 0. What is c?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 338, 703, 1068, 1433?\nAnswer: 1798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l\/l**(2\/15))\/l*l**18)**(-2\/31) assuming l is positive.\nAnswer: l**(-566\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b + 20*b + 20 = 0, -5*f + 3*b = -8900. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5413*q**3 + 920*q - 2 wrt q?\nAnswer: 32478*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 65318870, 65318868, 65318864, 65318858, 65318850, 65318840?\n\"Answer: -i**2 + i + 65318870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -441 - -398. Suppose -4*v = v - 230. Let x = t + v. Calculate the highest common factor of x and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000165 to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 - 11*l**2 - 1822*l - 9086. Give z(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1549065 is divided by 1549020.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77646*v**2 + 17276*v**2 + 35816*v**2 - 4*v + 4*v.\nAnswer: 130738*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -5*g**3 + 3*g**2 + 6*g + 12. Suppose -7*t - 30 = -9. What are the prime factors of v(t)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 32 = 3*c, -s + 2*c = -4 - 15. Let h = -8 + s. Suppose -t + 7 = i, 5*t - 10 - 9 = h*i. Solve a = t*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 729, 1291, 1853, 2415?\nAnswer: 2977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2586, -2589, -2592?\n\"Answer: -3*c - 2583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 5*l + 34 = 14, -o = -l + 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003621057 to seven decimal places.\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 581.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**0*r**(-10\/9)\/r)**(-2\/45))**(2\/19))**37 assuming r is positive.\nAnswer: r**(148\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -213873\/708644 + 1\/12218. Let v = 3\/58 + f. Sort -3\/5, v, 1\/5.\nAnswer: -3\/5, v, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*m - 22*m = 17*m + 66*m - 56*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**2\/5 + 212508*p + 18816520860 = 0. Calculate p.\nAnswer: -177090","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.63 - -4.63. Let i = 6 + -2. Let d be ((-2)\/36)\/(1\/i). What is the closest to 0.1 in h, d, -17?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + k - 2. Let h(r) = -4*r**2 - 12 + 6*r + 6*r - 2*r - 2*r. Let u(o) = -4*o**2 + 7*o - 11. Let s(j) = -4*h(j) + 5*u(j). What is 2*s(l) - 7*y(l)?\nAnswer: -l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 51183907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**3 - 27*l**2 + 8*l - 16. What is h(13)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101100010100010010000 (base 2) in base 15?\nAnswer: 4a19bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 12:16 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9609, 9636, 9707, 9834, 10029, 10304, 10671, 11142?\n\"Answer: 2*t**3 + 10*t**2 - 17*t + 9614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -992666*t**4 - 4*t**2 + 3449166 wrt t?\nAnswer: -3970664*t**3 - 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-6)*(-4)\/(-6). Let z = -14 + -45. Let x = -57 - z. What is the second biggest value in -0.1, d, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21447 is divided by 110?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9204.7*-45\nAnswer: 414211.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 419 = -449*d + 665*d - 661. Suppose -15 = -3*c - 3*v, -4*c - 2*v + 39 = 11. Solve -4*g = 5*x - 11, 3*g - 4*g + d*x = -c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 113 or 564\/5?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6197 - 6161. Solve -c = 14*r - 22 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 - -132. Let w = -66 + l. Solve 3*f - f + w = 5*i, 0 = 4*f + 3*i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 158 - 127 - 33 - -28?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -337 + 305. Let v(r) = 7*r + 269. What is the remainder when 179 is divided by v(u)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1471 + -0.02.\nAnswer: -1471.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bm when two letters picked without replacement from {m: 12, b: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 92198989 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 - 94. What is the closest to 0.1 in 3\/4, -3, g?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 24*d + 2*d + 9*d + 5*d. Let t(k) be the second derivative of 1\/6*k**3 + 0*k**2 + 22*k + 0. Calculate h(t(f)).\nAnswer: 40*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 12*z**2 - 16*z - 13. Let h be g(-12). Let i = -126 + h. What are the prime factors of i?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5337 is divided by 450?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 2:56 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 229 + -139. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -306 + -1?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 5*f - f)*(-7 + 1 + 2).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -90.5 - 5.5. Let h = -101 - o. What is the third smallest value in -1\/6, 0.3, -4, h?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2830 is divided by 1996.\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 9*i**2 - 13*i - 46. Let s be z(-8). Let x(a) = 7 + 5*a**2 + 5*a + a + 2*a. Is x(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -77 and 4243.\nAnswer: -326711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 11*c + 7. Let q(j) = j + 5. Let m be q(6). What is the units digit of u(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/2 + -3)\/4*-2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l**4\/8 - 73*l**2 - 1. Let p(o) be the first derivative of -5*o**3\/3 - 1. Give z(p(t)).\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a**5\/7 + 324*a**4\/7 - 2654*a**3\/7 - 92*a**2\/7 + 9600*a\/7 - 1024 = 0. What is a?\nAnswer: -2, 1, 7\/5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 111417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26286 - -1.\nAnswer: -26285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**3 + 4*n**2 - 4*n**2)*(-4 + 1 + 1) + 3*n + n**3 - 3*n.\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 6 - 0. Suppose 0 = -f*b - 14 + 44. Suppose 13*a = b*a + 6. Solve -j + 1 = -a*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**4\/d*((d\/(d\/(d**(5\/3)\/d)))\/d)\/d)**20)**(5\/6) assuming d is positive.\nAnswer: d**(250\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 91*s + 24 = 94*s, 10 = i - 7*s + 8*s + 16 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5706 divided by -9.\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*n**2 + 14*n**2 + 25*n**2.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 17 + 8. Let z be (-12)\/18 - t\/3. Put -5, -8, -4, z in increasing order.\nAnswer: -8, -5, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/13, 63, 2, -0.02, -1\/2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -288, -579, -870, -1161, -1452, -1743?\nAnswer: -2034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 14) in base 3?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l - 7. Let p be m(7). Let h(s) be the second derivative of -s**5\/20 + 2*s**4\/3 - 2*s**3\/3 - 2*s**2 + 11*s. What is the units digit of h(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 119 + -112. Solve -5*f + h = -8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, r: 12, j: 1}. Give prob of picking 4 r.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -4, -2, -459, -34, -7 in ascending order.\nAnswer: -459, -34, -7, -4, -2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 209055 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 - -54. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 1:02 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzzvvzvzzzzzzzzzzzz. What is prob of sequence zzvz?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2101\/123427 or 1?\nAnswer: -2101\/123427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0 + (-9 - 1 + 3)*(-1 + 1 + 3))*(z**3 + z - z).\nAnswer: -23*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/25)\/(7\/(-245))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21349, 21315, 21229, 21067, 20805?\nAnswer: 20419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16.5 - 16.6. Let p(w) = -w**3 - 2*w**2 + 1. Let z be p(-2). What is the closest to a in 4, -2\/3, z?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -12. Let n = o + 7. Suppose 16 = -q + 3*y, 2*q + 2*y + n*y = 8. Let g(c) = -c**3 - 4*c**2 - c - 3. Determine g(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 28*x - 27*x + 2931 = 0, 0 = -3*x + 12. List the prime factors of u.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 905294 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*x + 40 = 0. Suppose 3*y + 1 = x. Suppose i + 10 = y*i. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129936959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19576194 + -4726204. Suppose -8 = 4*q, 4*f + 5*q - n = -f. Round f to the nearest one hundred thousand.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 * -24\nAnswer: -1056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4880*a**2 + 1599*a**2 + 1642*a**2 + 1637*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 31846, 32100, 32354, 32608?\n\"Answer: 254*n + 31592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 - 2*u + 7. Let z = -73 + 52. Suppose 0 = 5*j - 37 - 3. Let m = j + z. Let f(y) = 4*y**2 - 4*y + 15. What is m*l(o) + 6*f(o)?\nAnswer: -2*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7984651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 203, 474, 819, 1238, 1731, 2298, 2939?\nAnswer: 3654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2341 is divided by 103.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o - 6*o + 4*o)*(-145*o + 145*o - 216*o**2) to the form q + v*o + l*o**2 + u*o**3 and give u.\nAnswer: 1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 340186, 680211, 1020236?\n\"Answer: 340025*h + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d\/(d*(d\/d**(2\/7)*d)\/d*d)*d*d)\/d)**(-6\/31)\/((d**(-1\/4)*d)\/d**6) assuming d is positive.\nAnswer: d**(4509\/868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 8:11 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -34. Is 6 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence js when two letters picked without replacement from sjjjjjjj?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**3 - 19*v**2 + 61*v + 14. What is the remainder when (-7)\/(1 - 0)*-1 is divided by g(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 34, 134, 302, 538?\n\"Answer: 34*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 11*c - 120. Let h = 38 - 21. Let m = c + h. Is m less than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 - 12*f**2 - 3721*f + 3*f**2 + 3721*f.\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 6*h + 55. Let l be 104\/182 + (-813)\/63. Which is smaller: l or h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3 = 0, 0 = -2*d - 0*j - 2*j - 30002. What is d rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4813009, 19251895, 43316705, 77007439?\n\"Answer: 4812962*h**2 + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -637*j + 1043. Does 222 divide n(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 26. Suppose m*k - 58 + 10 = 0. Let z(w) = -w**3 + 4*w**2 + 6*w + 1. Let u be z(5). What is the highest common divisor of u and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.5 (b) -0.4 (c) -42 (d) -2 (e) 312 (f) 0.3 (g) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-6))\/(((-1)\/5)\/((-21516)\/(-6520)))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1214121 (base 5) to base 15\nAnswer: -6c5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q - 1. Let n be (-52)\/8*(-3 + 1). Let z = -14 + n. Give h(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.032 in -0.06, -20, -0.5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = y + 18 - 19, 3*y - s = 8. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 589\/114*-1 + (-3)\/(-18). Let j(x) = -x**2 - 8*x - 6. Let a be j(-6). Put a, -1, n, -2 in decreasing order.\nAnswer: a, -1, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 2. Suppose 5*h - 14 = o*x - 0*h, -3*x - 2*h + 17 = 0. Let a(v) = -v**3 + 3*v**2 - 2*v + 1. Let y be a(2). Solve 2*d - x = y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 298079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20463282 divided by -6821094?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.4 - 2.544. Let a = -57.956 + i. What is a rounded to 0 decimal places?\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2 + 4 = 0. Let n = 2 - y. Let a(t) = -t**2 + 6*t + 1. List the prime factors of a(n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 85131.38 years?\nAnswer: 1021576.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4069\/94 + -84\/47. Let a = i - 2071\/50. Does 1 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m**2 + 25 - 36*m + 31 - 91 + 35 + 3*m**3 in the form s*m**3 + w*m**2 + o + p*m and give p.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 90583605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9813056 and 30508.\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13205 is divided by 456.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 62132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/5))**(-30\/11)*((s\/s**(-19))\/s)\/s**(-1\/3) assuming s is positive.\nAnswer: s**(602\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 16 = -4*j, 2*o = -5*j - 1 - 6. What is the biggest value in 0.017, 0.4, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.2, 1.298, 2 in ascending order.\nAnswer: -0.5, -0.2, 1.298, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 392 - 385. Solve 18 - 53 = -c*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -3\/110 (c) 1\/16 (d) -38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4085 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 260237 and 11889?\nAnswer: 2342133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, -0.1, 791?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 866127.2ml to litres.\nAnswer: 866.1272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in kilograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 215, 404, 593?\nAnswer: 782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f**2 - 53*f + 2147. Calculate i(20).\nAnswer: -513","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 8, 17, 40, 83, 152, 253, 392?\nAnswer: 575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15908 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8862 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 1, -4562078?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: 4 + 1568\nAnswer: 1572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/4*(-1 - 1). Let q = -86 + 122. Suppose 3*s = -q + 30. Put h, 9, -5, s in descending order.\nAnswer: 9, h, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v - 43. Let m(o) = 68251*o. What is k(m(h))?\nAnswer: -204753*h - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 2316282?\nAnswer: 1\/386047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-10) - 28\/105. Which is the smallest value? (a) 0 (b) 7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -842 - -313. Let f = -519 - g. Solve -3*i = -7*m + 2*m + 34, -f = 5*i + m for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.056 * 15656\nAnswer: -63500.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -945 divided by 1?\nAnswer: -945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 11. Factor -331 - 8*t**2 + 9*t**3 + 12*t**4 + 4*t**5 - t**3 + 327 - a*t.\nAnswer: 4*(t - 1)*(t + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47090 and 170.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 12 = 6*l. Let w be (-14)\/21 + 32\/(-6). Let q(j) = j**2 + 3*j - 7. What is the remainder when q(w) is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l. Let i(w) = 1. Give -6*i(n) - p(n).\nAnswer: -n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/15240 and 63\/22.\nAnswer: 167640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - (21 + -10)) + 2 + -1 + 4.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2183, -2182, -2185, -2192, -2203?\n\"Answer: -2*d**2 + 7*d - 2188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/27)\/(((-6)\/(-3))\/12).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*g + 2*y = 6782, 0 = 8*g + 3*y - 54191. What are the prime factors of g?\nAnswer: 2, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = f - 82, -5*f = 2*n + 78 - 168 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1880864 is divided by 626842.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 256466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1017 = -4*g - 4*a - 1009, g = 3*a + 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fifteen quarters of a second?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, d: 7}. What is prob of sequence dd?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 8 = -5*g, 7 = -5*k - 5*g - 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -289, 1, -10, -4\/3, -4, -2\/25 in descending order.\nAnswer: 1, -2\/25, -4\/3, -4, -10, -289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 391274 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v**2 - 9*v - 21. Determine u(-7).\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*d**5 + 14*d**4 - 161 + 87 + 167*d + 75 wrt d.\nAnswer: -240*d**3 + 168*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of w**4\/4 + 7*w**3\/3 + 4*w**2 + 7*w - 75. Suppose 2*s - 5*k + 19 = 3*s, 5*s = 3*k - 45. Calculate m(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 8. What is the closest to -0.2 in -1, l, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 33 = 29. Let s(g) = -2*g + 4. Let k be s(2). Suppose -n + 0 + 7 = k. What is the remainder when n is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(405) - (1 + sqrt(405))**2 - sqrt(405)) + 4)*-3 + 2).\nAnswer: -1208 - 54*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 7*l - 1. Let b be n(1). Let c(r) = -r**3 + 10*r**2 - 8*r - 1. Does 12 divide c(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-13)\/(-39))\/(-3 - 70\/(-24)). What is the nearest to -0.1 in 0.2, -1.81, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -0.4 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, m: 7, l: 5, e: 1, n: 1, b: 5}. What is prob of picking 1 n and 1 e?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 3 + -12 + 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4089.4 times -178\nAnswer: -727913.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w + 1. Let y(k) = -19*k + 7. Let q(a) = 6*c(a) - y(a). Let h(j) = 2*j**2 + 7*j - 1. Calculate -h(b) + 2*q(b).\nAnswer: -2*b**2 - 5*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.33 smaller than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**4 + 6*c**4 + 7*c**4)*(32 - 114 + 48)*(-3*c + 2*c + 0*c).\nAnswer: 578*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 353861 to the power of 1\/2, to the nearest integer?\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11947 + -11947.1. Sort 12, 1, -14, f in ascending order.\nAnswer: -14, f, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 320 and 22.\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03915 + -5.03915. Which is the third smallest value? (a) j (b) 8 (c) -1\/4 (d) 58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.29? (a) -4712 (b) 0.4 (c) 8\/15 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -24174 divided by -474\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12109367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -89, -141, -163, -155, -117, -49, 49?\n\"Answer: 15*w**2 - 97*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -105 - -107. Solve 5*s + 3*r = r, l*s = 2*r for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220378 rounded to the nearest one thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 24*i + 5. Let l be v(24). Let k = 1 - -1. Solve 0 = a - k*a - l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of t**6\/120 - t**5\/60 + t**4\/24 + 3*t**2\/2 + 1. Let p(o) be the second derivative of q(o). Let f be p(1). Is f at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57298540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 515739 divided by 861\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/42 - (-94)\/12831*-78\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k + 13. Let m be z(7). Let r be (-2)\/4 - (1 + (-10)\/(-4)). List the prime factors of 0 - (r + 27\/m + 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - -2.034\nAnswer: 1.634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9640.272 centimeters to kilometers.\nAnswer: 0.09640272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4066.5807 milliseconds to weeks.\nAnswer: 0.00000672384375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1694, 3386, 5078, 6770, 8462?\n\"Answer: 1692*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2, -15, -72, -193, -402, -723, -1180?\n\"Answer: -4*g**3 + 4*g**2 - g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-3) + 76\/24. Let k(p) = -p**3 - 5*p**2 - 2*p - 7. Let f be k(-5). Let x = j - f. Which is the closest to -0.2? (a) x (b) -5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1758*x**3 - 4309*x wrt x?\nAnswer: -10548*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.915 - -0.085. Let x = -93.4 - -85. Let m = x - -8. What is the nearest to -2\/5 in i, -3\/4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**2 - 4*y**2 + y**4 + (2*y**2 + 2*y**2 - 2*y**2)*(0*y**2 + y**2 + 0*y**2) - 4*y**2 + 8*y**2 - 2*y**4 + 0*y**2.\nAnswer: y**4 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -457378 - -714489. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*y + 3046 - 2542 = 0 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 35816520, 35816519, 35816518, 35816517, 35816516, 35816515?\n\"Answer: -h + 35816521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b0e12 + a0?\nAnswer: 1b0eb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 h, and 1 j when three letters picked without replacement from {h: 5, z: 9, j: 1, t: 2, b: 1}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -523*q**3 + 5*q**2 + 5*q + 6. Let x(w) = 261*w**3 - 3*w**2 - 3*w - 4. Determine 3*g(z) + 5*x(z).\nAnswer: -264*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43.4 - -165889.7.\nAnswer: 165846.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45699 is divided by 38.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 170330648?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 395270?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 190 in 3\/8, -1\/4, 3.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 13*v - 9. Let n be k(1). Solve 4*w - 4 = n*s, -2*s + 5*w = -s - 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2\/7, -5\/4, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27058781.00378 - 27059094. Let b = 820 + -1133. Let d = q - b. Round d to four decimal places.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 8 + 1 = v, 3*v + o - 18 = 0. Suppose 0 = -0*u + 5*u + 10, v*p = 2*u + 64. Suppose -p*i - 10 = -14*i. Solve -c + i*c = 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -28, -13, -46, -151, -352?\n\"Answer: -4*q**3 + 43*q - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -15*p**2 - 4*p. Let c(l) be the third derivative of -13*l**4\/24 - 125*l**2. Give c(k(i)).\nAnswer: 195*i**2 + 52*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -a6045?\nAnswer: -a6046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 1 = 2*a + 21, 2*r - 3*a = 14. Let o(g) = 3*g + 11. Let y(h) = -h - 5. Determine r*o(z) + 9*y(z).\nAnswer: 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5 - 3. Suppose 0*d - w*d = 0. Let p = 2 + d. Calculate the remainder when 5 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -34\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1255 + -323440?\nAnswer: -322141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21)\/14*16\/(-1). Let s = -19 + w. Suppose -4 = -i + 2*n + 17, -2*n - 66 = -4*i. Solve -i = -5*f, 3*o + 0*o + s*f = 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v**4 - 801 - 2*v + 801 - v**2 - v**2 to the form a*v**4 + l + b*v + k*v**2 + h*v**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 161, 206, 227, 212, 149, 26?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**7\/210 - u**4\/12 - 2*u**3\/3 + 1. Let k(x) be the third derivative of v(x). Differentiate k(d) with respect to d.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -13*b. Let l(k) = 372*k**2 - 3*k. Determine a(l(w)).\nAnswer: -4836*w**2 + 39*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in sixty-seven fifths of a gram?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - ((10 - (4 - 2)) + 1 + -16)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkq when three letters picked without replacement from qqkkkqqqqqqq.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1669520 and 132340?\nAnswer: 21703760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of 4\/3*c**3 + 0*c**4 + 0*c**2 + 47\/20*c**5 + 13*c + 0. What is the second derivative of k(a) wrt a?\nAnswer: 282*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 187636 = -5*l - 246885, 0 = 4*m + 3*l + 434527. Round m to the nearest 1000.\nAnswer: -109000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22861459 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 240 and 1616?\nAnswer: 24240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 8*c**2. Let a(o) = -2*o**2 + 115. Give a(h(s)).\nAnswer: -128*s**4 + 115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 s when two letters picked without replacement from {v: 1, z: 1, s: 1, y: 2, n: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27509973 to the power of 1\/2, to the nearest integer?\nAnswer: 5245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 31. Is 14 a factor of (340\/(-15))\/((-3)\/y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1168 + -1158. Solve -9*w = x + 26 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 653, -2, -4 in descending order.\nAnswer: 653, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**2 + 288*d - 1365 = 0.\nAnswer: 5, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -14*(-2)\/10 + 30\/150. Solve 0 - 3 = -l*h, -3*h + 6 = -3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1351219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 25 in descending order.\nAnswer: 25, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -13*r - 29. Suppose -40*n = -46*n - 32 - 10. Determine q(n).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24388 + -24388.4. Let q = -3\/23 - -29\/46. What is the smallest value in y, -3, q, -0.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.588 + 2.588. What is the second smallest value in -0.07, 1\/2, r?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16760399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 (base 11) in base 12?\nAnswer: a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -334 + 1437 + 1680 + 3*n - 2*n + 9 to h*n + z and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*z**4 + 261*z**3 + 210*z**2.\nAnswer: 3*z**2*(z + 7)*(11*z + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1292 and -28086?\nAnswer: 36287112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 4534037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-4\/11)\/k**(-11) assuming k is positive.\nAnswer: k**(117\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -230 divided by -7\nAnswer: 230\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*l**2 - 14*l**2 - 13*l**5 - l**2 + 88*l**5 wrt l.\nAnswer: 4500*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/17 (b) -0.512 (c) 0.05 (d) 2\/5 (e) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 5*j = 30. Let h = 148 - j. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 141634 + -111?\nAnswer: 141523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97, 118, 139, 160?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -2, 1301, 0.1837 in descending order.\nAnswer: 1301, 1, 0.1837, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 44824 = 2*d. Let p = -403537\/18 - d. Calculate the common denominator of p and (1 - (-546)\/4)*2\/(-140).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3577 and 922355?\nAnswer: 6456485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7117805695 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2*z - 21*z + 2.\nAnswer: -23*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 155536251*n**3 - 428572054 wrt n.\nAnswer: 466608753*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -7*x + 1. Let c(l) = l - 6. Let r(k) = 4. Let p be ((-6)\/5)\/(-1)*((-19)\/2 + 7). Let d = -8 - -6. Let q(u) = d*c(u) + p*r(u). Calculate g(q(z)).\nAnswer: 14*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, k: 18}. Give prob of picking 3 k.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -566 by -566.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/4 - (-1)\/2. Suppose 3*s = -2*a, 18*s = -5*a + 20*s + 38. Suppose -3*f + 4*r = -24, r - 17 = -6*f + f. Solve -c*p + a*p = -f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3)*(-45)\/(-30)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a litre in millilitres?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24800 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -59*d**2. Let z(g) = -36*g. What is z(o(x))?\nAnswer: 2124*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5*sqrt(72).\nAnswer: -30*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2. Let y(j) = -6 - 4*j + 7*j + 5*j. Let b(o) = -5 + 9*o + 2*o - 4*o. Let w(h) = -6*b(h) + 5*y(h). Determine w(q(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 6*o**2 - 4*o + 2. Let a be v(-5). Let p be 14\/(-7) + a + 0. What is the third biggest value in -4, p, 1\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -3. Let q(f) be the first derivative of f**4\/4 - 11*f**3\/3 - 7*f**2\/2 + 4*f + 91. Calculate the remainder when q(12) is divided by i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/((k*k**(-2\/3))\/k)*k*k*k*k*k**(2\/5)\/k*k*k**(-2\/9)*k**(3\/2))\/(((k\/(k*k**(-8)*k))\/k)\/(k**12*k))**(3\/13) assuming k is positive.\nAnswer: k**(11653\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -23*d + 61. What is the remainder when y(-7) is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144, -289, -436, -585?\nAnswer: -736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2597 and 6034595?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 + 390 = -43*c + 119 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1756 - 8816\/5. Let n = -0.7 - -0.8. What is the nearest to -0.1 in s, -0.2, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3*-3*-1. Which is the nearest to -1? (a) -2 (b) -1\/4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 64, 106, 124, 106, 40?\n\"Answer: -2*p**3 + 56*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.32 - -26.32. What is the second smallest value in 0.5, y, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*m**2 + 8*m**2 - 10*m**2 + 6*m**3 - 4 wrt m.\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -85 + 86.2. Let v = -0.8 + -0.4. Let k = v + q. What is the closest to -1\/2 in 3\/7, k, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 - -38.00000363. What is c rounded to 7 dps?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 11790 = 11799, -3*y + 114 = -5*g for y.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 19, -6, 2, 4 in descending order.\nAnswer: 19, 4, 2, -6, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8700 and 1285425.\nAnswer: 2175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -183, -416, -743, -1164, -1679, -2288?\nAnswer: -2991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvllrvlllrlvvlll. Give prob of picking 1 v and 1 l.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.852783034491 + 21?\nAnswer: 45.852783034491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3399 + -2228. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12796 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 smaller than -1223910?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -284 + 19?\nAnswer: -26a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76709416 divided by -161.\nAnswer: 476456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19604 and 668044?\nAnswer: 1508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 303085844 to the power of 1\/2, to the nearest integer?\nAnswer: 17409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -232 and -265712538?\nAnswer: 265712306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5\/327 + -8869\/2616. Calculate the common denominator of l and (-4)\/2 - (-12)\/27.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3241 is divided by 216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 1\/2*0. Find the third derivative of -41 - k*g**2 + 41 - 2*g**5 wrt g.\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2. Let z(s) = 11*s - 6. Let m(l) = -2*l + 6. Let x be m(6). Let v(p) = p - 1. Let c(y) = x*v(y) + z(y). Give c(i(j)).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 10 - 23*s)*(13*s**2 - 71*s**2 + 24*s**2 + s**3) in the form b*s + p*s**4 + i*s**3 + g + o*s**2 and give i.\nAnswer: 782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -11*y + 7 + y**2 + 9 - 2*y**2. Let t be l(-12). Suppose -t*u = -98 - 58. What is the greatest common divisor of u and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*j + 7*c = -5*c + 8*c + 632, -70 = -2*j - 3*c for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * 0.18\nAnswer: 0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 + 6 - (-988)\/1) + 4 + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1477405*n**3 - 155765 wrt n?\nAnswer: -4432215*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**2 + 2867624*a + 37279788 = 0 for a.\nAnswer: -13, 716919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 444034144 + -4?\nAnswer: 444034140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 182 - 177. Solve -2*b = -x - 0 + l, -5*x = -2*b - 25 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2331 and 1113.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 427 and (0 + 42\/(-4))\/(72\/(-96))?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29468 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -36?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -453 - -4?\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -529*o**4 + 5*o**3 + 5*o + 106. Let b(v) = -3*v**4 + v**3 + v + 1. Let y(w) = 5*b(w) - f(w). Differentiate y(r) with respect to r.\nAnswer: 2056*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*y - 8 + 3 = 0, 27 = 5*r - 3*y. Suppose 2 + 2 = 4*l. Let d = r - l. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 7:33 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 38*n**2 + 2*n + 82. Let q be h(-38). Let v = 12 + -8. Solve 5 - q = a + y, v*a - y + 9 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/5 (b) 0 (c) 2 (d) -106\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -7*u - 44. Let v be o(-5). Let b = -4 - v. Solve 3*p - b*p = -8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1802 + 3143. Let f = 1343.078 - w. Let h = f - 2.26. Round h to 2 decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/18)*h)**1 assuming h is positive.\nAnswer: h**(19\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-894)\/(-4))\/((-12)\/(-32)). Let w = -293 + i. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1134000 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cggvmct. What is prob of picking 1 t and 1 c?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*w - 9*w - w + 20)*(-2*w**4 + w**4 - 2*w**4).\nAnswer: 6*w**5 - 60*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 448 and 2912?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21919\/20748 - -236\/247. What is the common denominator of ((-6)\/(-22))\/(99\/308) and a?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 9*i**2 - i + 11. Let b be m(9). What is the derivative of 9*d**2 - 31 - 9*d**2 + 15*d**b + 16*d**2 wrt d?\nAnswer: 62*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52750.\nAnswer: 2, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1595026293 and 5348?\nAnswer: 1337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -711211, -1421911, -2132623, -2843353, -3554107?\n\"Answer: -d**3 - 710693*d - 517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6185798, -6185797, -6185796?\n\"Answer: p - 6185799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 6*g + 653. What is the units digit of r(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5808)\/(-99) + -60)\/(12\/1305*5)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 3426.\nAnswer: 3425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 94328127 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: Is 7 a factor of 4601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -3076 (b) -0.5 (c) 0.1 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**3 - 2164 - 4*o + 2154 - 4*o**2 + o**3 to the form u*o**3 + n + g*o + p*o**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lvv when three letters picked without replacement from vvvlvlvvv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68971 - 40029 = -90*x - 10*x. What is the highest common factor of x and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 5:59 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 - 34*c + 4. Let m be i(17). Solve -2*j + 2*p = -j - 4, m = 2*j - 2*p for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 297?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68 + -37. Let t = 33 - z. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -772 - -783. Let k(h) = 2*h**2 - 7*h + 7. Let b be k(5). Calculate the highest common factor of y and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -799, -1763, -2727?\n\"Answer: -964*c + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -1\/2, -5.\nAnswer: -5, -2, -1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*u - 0*u + 35, 0 = -3*k - 2*u + 91. Calculate the remainder when 229 is divided by k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19427345 divided by -119?\nAnswer: 163255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 16. What is the common denominator of (5 - d)*66\/(-8) and 61\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 200 + 428. Let s = 994 - z. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334808 is divided by 7438?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovvlravolul. Give prob of picking 1 l and 1 u.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1925 + 0?\nAnswer: -1925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1) + -2 - (-144 - -147).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16545 - -16544.999971418. What is v rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1341 = -5*d - 4*f, -2*f + 954 = 5*d - 379. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h - 5*h + 16*h + (2*h + 2*h - 3*h)*(-1 + 4 - 2) - 2*h + h + 3*h.\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d - 15. Let n(l) = -1. Let z(m) = 15*n(m) - w(m). Let v(b) be the third derivative of b**5\/60 + 14*b**2. Calculate v(z(u)).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 8*a**3 + 17*a**2. Let c(l) = -3*l**3 - 6*l**2. Let g(v) = -11*c(v) - 4*q(v). Factor g(r).\nAnswer: r**2*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -950 = -623*b + 618*b. What is the least common multiple of 20 and b?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/7 of a week in hours?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5763458641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -28, 25, -1 in descending order.\nAnswer: 25, 3, 0, -1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496 > 101329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -5) + 0 + -2 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 789 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2*2\/6)\/((-54)\/(-243)). Suppose -542 + 3099 = y*a - 4*d, 2545 = 3*a - d. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9015478?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.79842 kilograms in nanograms?\nAnswer: 36798420000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 636716 and -0.2?\nAnswer: -127343.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 9:11 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -3*u - 5*v, 2*u - v = -4*v + 31. Calculate the highest common divisor of u and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/4*8\/(-16). Let k = -250 + 250.4. Which is the third smallest value? (a) m (b) k (c) -12.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 243275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 - n**2 + n**2 + (-n - 3*n + 2*n)*(-n + 3 - 3) + 26 - 26 + 32*n**2.\nAnswer: 35*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rai. What is prob of picking 1 r and 1 i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -181, -2, -37, -209, -1.\nAnswer: -209, -181, -37, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 6870875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 28 + 44)*(-3*u + 0*u + 4*u)*(2*u - 4 + 4)*(4*u**2 - u**3 - 4*u**2).\nAnswer: -152*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -11010, -70 in increasing order.\nAnswer: -11010, -70, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 864 (base 16) in base 11?\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * -8001\nAnswer: -240.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*i - 2, -2*i + 20 + 11 = -5*g. Let a be (-7 - -3) + 1 + i. Solve a = 2*l + 4 + 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 9*j - 4*k + 11 = 0, 2*j - 2*k = -6. Let n = j - -1. Let r(b) = -b**2 + 7*b + 1. Let m be r(7). Solve n*g = -m + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a meter in centimeters?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 345*j. Let f be v(1). What is the tens digit of f + 11 + -1 + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = b + 2104, -m - 5*b + 237 = -289. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - ((-150)\/35 + 1). Which is the smallest value? (a) 0.031 (b) -0.3 (c) 2 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 299 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1442 = -24*n + 1816 - 950 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**4\/4 - 4*w**3 + 39*w**2\/2 - 28*w + 49\/4 = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -572 = -5*f + 283. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38607.07m to kilometers.\nAnswer: 38.60707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4 + ((((1 + sqrt(180))*-2 - sqrt(180) - sqrt(180)) + (sqrt(180) - ((6*(-2*sqrt(180) - sqrt(180)) - sqrt(180)) + sqrt(180) - sqrt(180))))*-3)**2.\nAnswer: -3456*sqrt(5) + 414748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of 0*k**2 + 9*k - 1\/4*k**4 + 0*k**3 + 1. Let y(g) = -38*g**2. Calculate i(y(t)).\nAnswer: -4332*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**2\/2 - 7. Let p(g) be the second derivative of -3*g**3 - 2*g + 41. Determine i(p(b)).\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2 - 17. Suppose 5*k + r = -0. Let j be 3\/(-2) - 18\/(-4). Which is the nearest to -0.1? (a) k (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**2 - 104*r + 834. Give y(22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 5*k**2 - k - 3. Suppose 2*j + t + 6 = 0, -j = 4*t - 3 - 8. Let w be v(j). Is 7 a factor of 135\/6 + w\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - -2240?\nAnswer: 2239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (4 - -17 - 11) - 18\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5074 by -118.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 4*o + 18, 282*u - 283*u - 3*o = 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-6) + (-1)\/(-3). Let f be 2 - ((0 - t) + -2). Find the third derivative of -3*u**f + 2 + 0*u**2 - 2 - u**2 wrt u.\nAnswer: -72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/31, 0.5, 3 in decreasing order.\nAnswer: 3, 0.5, -2\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 436, 1399, 3262, 6325, 10888, 17251?\nAnswer: 25714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q = 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5275974.\nAnswer: 2, 3, 11, 79939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2 = -12. Calculate the lowest common multiple of o and -4*(-12)\/((-168)\/(-77)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 6*u. Let a(t) = 2*t**2 + 23*t + 174. Calculate -a(v) + 4*b(v).\nAnswer: 2*v**2 + v - 174","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2098, 4408, 7164, 10588, 14902, 20328?\nAnswer: 27088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 5*l**3 + 117741520*l**2 + 693153158853985*l - 1386306788674090 = 0.\nAnswer: -11774153, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.19 + -0.19. Let d = 7.1 - 10. Let h = 3 + d. What is the closest to h in -3, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3879 = -4*i - 3847. Let t be (-2)\/(-5)*(-5)\/(-2). Put t, -2, i in descending order.\nAnswer: i, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 6*b + 4. Let j be k(-5). Suppose 0 = -p + j - 4. Let c = 85 + -84. Sort 0, p, c.\nAnswer: 0, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*6\/(-3)*(-41)\/(-287)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170*z**3 + 87*z**3 + 84*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -62, -0.4, -1, 10.576?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 146\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37369126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*l**3 + 17337*l - 17337*l.\nAnswer: -32*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9223 + 55469\/6. Calculate the common denominator of y and 19\/244.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 1:08 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrrr when four letters picked without replacement from rjjrjjjjrjjrrjjj?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = c - 40 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 28. Suppose r*s = 3*i + 243, 3*i - 34 - 39 = -s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 34*c**2 + 11*c + 2. Give l(-2).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-11 + (9 - 1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -4*i**8\/7 - i**6\/10 + 40*i**4 + 3*i**2\/2 + 2134*i. Find the third derivative of h(k) wrt k.\nAnswer: -3840*k**3 - 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 137 (b) 672925 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 122261 and 135857.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from zkzgkg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 262*g**5*k - 4*g**2*k - 24*g - 935*k wrt g?\nAnswer: 5240*g**3*k - 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 187 - -69. Let k = h - 260. Let o be (4\/(-6))\/((-7)\/3). What is the second biggest value in o, -11, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 9 = 19. Suppose -x*f = 4*f - 154. What is the greatest common factor of f and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**5\/60 + 5*q**4\/24 + 7*q**3\/6 - 2*q**2. Let g be 8\/(24\/(-45))*(-1)\/(-3). What is w(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence df when two letters picked without replacement from {d: 4, f: 1, x: 6, t: 2}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 2*a - 1. Let v = 3 + -4. Let c be l(v). Let p(b) = -b**3 - 4*b**2 - 3*b + 2. Let y be p(-3). Put c, -5, y in decreasing order.\nAnswer: y, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n = 11*n + 8708. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 divided by 25?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 69, -41, -5 in decreasing order.\nAnswer: 69, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + j + 7 + 5 = 0, -3*j = 2*r + 8. Solve 5*g + 14 = 3*y - r*y, 2 = 2*y + 3*g for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -65*k**2 - 8*k**2 - 72*k**2 + (k**2 + 4*k**2 - 4*k**2)*(5 - 4 - 2).\nAnswer: -146*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -684*p + 59 = -683*p for p.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2663 + 900. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.00637 + 1.43637. Let c = -5 - -5.1. Are d and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6002 + 8823. List the prime factors of v.\nAnswer: 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/((-81)\/81)*(-74)\/24 + 2\/12\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 1 + 6 - 3*k - 6. Let u be g(2). Which is bigger: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 3 - 5. Let a(x) be the third derivative of x**5\/60 - x**4\/8 + x**3\/3 - 9*x**2. Let c be a(z). Solve c = -0*u - u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -47?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0441391 rounded to three decimal places?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 3:51 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/5)*k\/(k*k\/(k\/k**(-3))*k) assuming k is positive.\nAnswer: k**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 0.5 (b) 8 (c) 3\/4 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(2\/5))\/q**(14\/5)*q**(-17)\/q*q\/q**(4\/9))**(36\/5) assuming q is positive.\nAnswer: q**(-3356\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -5, -9, -15?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - 2. Let h(i) = -i + 1. Let l(w) = -5*h(w) - 6*p(w). Let c be l(5). Let f(d) = d**2 + d - 1. Calculate f(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 i when two letters picked without replacement from irirr?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 1.30231.\nAnswer: -3.90693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28832504.\nAnswer: 2, 61, 59083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -17*d - 12. Let k(v) = -6*v - 4. Let c(q) = q**3 + 5*q**2 + 7*q + 14. Let i be c(-3). What is i*k(g) - 4*z(g)?\nAnswer: 2*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 1:34 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1, -3876 in ascending order.\nAnswer: -3876, -9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3030 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mr when two letters picked without replacement from auauuoauuumra.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 796 + -760. Calculate the greatest common divisor of g and 128.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - 0) + -6141 + 6029?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -6 + -2 - -12\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 5:23 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11\/21 - -20\/21. Let b = 1 + -1.1. Put y, 3\/2, b in decreasing order.\nAnswer: 3\/2, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*l + 3*l - l + 0 + 0 - 2*l + (-1 + 1 + 2*l)*(-2 + 1 - 1) - 4*l - 2*l + 4*l.\nAnswer: -21*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 9*k + 155. Suppose -3*x = 19 - k. Is x*2\/20 - (-253)\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 98.779 - -0.221. Let y = o + -99.132. What is y rounded to two decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 111 + 143. Suppose 3*c + 0*r - 386 = -2*r, -z = -2*c + 2*r. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18*1)\/((-6)\/(-3*4\/4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 h when two letters picked without replacement from {e: 4, h: 1, l: 9}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 7*i**2 - i - 2. Let b(m) = -3*m**3 + 19*m**2 + 3*m - 21. Let n be b(7). What is the remainder when c(-2) is divided by ((-34)\/(-4))\/(7\/n*-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 0.210143cm to millimeters.\nAnswer: 2.10143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 7*u + 3. Let x be 2\/(-11) + 19\/((-836)\/168). Give w(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -584*i + 148*i + 145*i + 143*i + 148*i - 34*i**2.\nAnswer: -34*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 4*t - c, c + 4 = 3*t - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00156384602 to four decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u - 5 = 11 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of v**4\/4 + v**3 - 3*v**2 - 5*v + 6. List the prime factors of t(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27225977?\nAnswer: 27225977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2724, 28, 1, 4, -4 in decreasing order.\nAnswer: 2724, 28, 5, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1189, 9853, 33341, 79057, 154405, 266789, 423613, 632281?\nAnswer: 900197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 774917369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 3:26 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4\/5 - 18*h**3\/5 + 3*h**2\/5 + 72*h\/5 + 48\/5.\nAnswer: 3*(h - 4)**2*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - 46. Let y = v + 56.99999983. Round y to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 3633*m**2 - 2*m - 16. Give x(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -3. Let y = 3 + 1. Calculate the smallest common multiple of 88\/t - (-2)\/5 and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 38, -323, -4, -67 in decreasing order.\nAnswer: 38, 7, -4, -67, -323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 20583.29 and 122.\nAnswer: 20705.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -148011634*b**5*l - 304086*b**2*l - b*l - 12 wrt b?\nAnswer: -8880698040*b**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/(27\/6))\/2. What is the biggest value in -3, c, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 540 and 4680.\nAnswer: 14040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l + 7 - 7. Suppose -1\/2*i**2 + l*i + 1\/2 = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -305*j + 12. Let a(g) = 21655*g - 854. Determine 6*a(p) + 427*t(p).\nAnswer: -305*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**3 + 120*f**2 + 225*f - 6750 = 0 for f.\nAnswer: -15, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 18 + 2)*((11*d - 8*d + 11*d)*(-3 + 3 + 1) + (-2 + 2 + 1)*(d + 3*d - 3*d)).\nAnswer: -180*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0*x - 4*b = -16, 0 = -3*b - 9. Suppose 11 = 3*d - x. Solve i = d*i - 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2866 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1156801? (a) 0.1 (b) 26 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -435 + 435. Let f(k) = -6 + 8 + o + 5*k. Let g(r) = r**3 + 7*r**2 + r + 4. Let n be g(-7). Give f(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**4 - 15*j**3 - 424*j**2 - 780*j = 0?\nAnswer: -13, -2, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**3 + 8*g**2 - g - 58. Give m(-4).\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/276 and -71\/414?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -1707.\nAnswer: -8535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 2. Let j be (0 + 2 - 1)*0. Let h be u(j). Is (h\/3)\/((-4)\/(-138)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (153 - 8 - 11) + -6. Solve 8 = -132*t + p*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*r + 498 - 990 + 492)*(-3*r**3 + r**3 + 4*r**3) as z*r + n + y*r**2 + c*r**3 + q*r**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 0.048, -8, 1\/15 in descending order.\nAnswer: 0.07, 1\/15, 0.048, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*r + 135*r + 593 - 66*r.\nAnswer: 25*r + 593","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1158 a factor of 4482658530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - sqrt(14)\/sqrt(7)) + 1)**2 - (sqrt(40)\/sqrt(5))**2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 21288, 21138, 20990, 20844, 20700, 20558?\n\"Answer: k**2 - 153*k + 21440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**2 + t - 1. Let p be w(1). Let n(u) = -1220 + 6*u**2 + 1220. Let m(o) = 13*o**2. Determine p*m(c) - 9*n(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -90*s**3 - s**2 - 2*s + 3. Calculate j(1).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9495 by 127.\nAnswer: 9495\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66789, -66966, -67269, -67698, -68253?\nAnswer: -68934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6002*x**3 + 21136 wrt x.\nAnswer: -18006*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 j, and 1 w when three letters picked without replacement from {w: 2, j: 6, q: 1, y: 1, v: 3}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**2 - 36*p + 146. Determine k(8).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/((-320)\/8) + (-44)\/(-32).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*l**3 - 6 + 8*l + 5 - 6*l to the form z*l**2 + x + a*l**3 + r*l and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 49782.52 rounded to the nearest one thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ukkk when four letters picked without replacement from {u: 5, t: 4, e: 1, k: 5}?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzqzzqqqqqqzqq. Give prob of picking 4 z.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 53 and (-1)\/((256\/(-48))\/16)?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g - 13. Let z = -22 + 18. Let v be w(z). Calculate the remainder when (27\/v)\/((-6)\/20) is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 13 = 2*t - 17, 5*l = 2*t - 75. Find the common denominator of -4\/133 and 285\/(-304)*78\/l.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -2. Let v be 15\/(-6)*(1 - (-27)\/(-15)). Suppose w = v*w - 5*r - 13, 0 = -4*r - b. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 y, and 1 e when four letters picked without replacement from {e: 2, w: 1, s: 1, y: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 131.1 + -107. Round w to 0 decimal places.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42629 - 42629.2. Let m = 42 + -27. Let b be (-8)\/110*m\/(-6). Sort b, a, 5, 2 in increasing order.\nAnswer: a, b, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**4 + 89*f**2 + 625*f + 15. Let l(j) = -j**4 + 2*j**2 + 3*j + 3. Let q(x) = -b(x) + 5*l(x). Find the second derivative of q(n) wrt n.\nAnswer: -84*n**2 - 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + (-32)\/(-3))\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1184423?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 16 = -0. Suppose -2*b + d - 4 = 0, l*b + 5*d - d = 4. Let g = 4 + b. Solve -v - 4*n - 13 = -0*v, -g*v - 2*n = 19 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57876 * -5.\nAnswer: 289380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2784 = -5*s, -3*s + 9550 = 5*d - 4458. What are the prime factors of d?\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9788340 is divided by 29045.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, r: 1, f: 2, u: 1, h: 1}. Give prob of sequence uf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 7. Let f be r(8). Let p be (-4)\/((-6)\/3) - f. What is the derivative of 3*q + 2*q**3 - 3*q + p wrt q?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49 - 1900913040459.\nAnswer: -1900913040410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*1*(930\/84 + -11). Is -98 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -8, 2*w - 14 - 10 = -5*p for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 310 (base 5) to base 16.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {n: 4, f: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -1\/3, 54\/53, 2\/9 in increasing order.\nAnswer: -1\/3, -0.07, 2\/9, 54\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 1 - (-13)\/(-15)) + 1448\/70590. Let s(c) be the first derivative of -10\/39*c**3 - j*c**2 + 3\/26*c**4 + 0*c + 33. Factor s(v).\nAnswer: 2*v*(v - 2)*(3*v + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -170 + 170.1. Which is the nearest to 9? (a) n (b) -0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 20 = p, -a - 3*p + 51 - 13 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4870371043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -16\/7, -5, 152, 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 14*z**2 + 9*z + 88. Let f(o) = 15*o**2 + 11*o + 75. Determine 5*f(g) - 6*y(g).\nAnswer: -9*g**2 + g - 153","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1841*c - 2131 - 68133 = 8899 for c.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 86491841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 3*p + 160 = -2*p, -3*p = 25*y - 20*y - 184 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/6550 - 206321\/26200. Let h = -34 - 34. Calculate the common denominator of 224\/h*(-2)\/4 and u.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**5\/60 - 19*y**4\/12 - 299*y**3\/6 + 116*y**2 - 2*y + 6. What is g(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 0*p**4 - 1\/24*p**6 + 0*p + 0 + 4*p**2 + 2\/3*p**3 + 0*p**5. Differentiate o(j) with respect to j.\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a8c4a - -4?\nAnswer: 1a8c4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2746 - -2797. Solve -s*n + 55*n - 4 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7868558260+2\nAnswer: -7868558258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4 = -2*v - 2, 2*v - 4*g - 8 = 0. Suppose -v = -5*r + 208. Suppose 4*d = -5*d + 126. What is the highest common divisor of d and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2. Let h(b) be the second derivative of 0*b**2 - 37*b - 73\/3*b**3 + 0. Give h(r(u)).\nAnswer: -292*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j**3 - 4*j**2 - 2*j + 3. Let k = 63 - 60. List the prime factors of n(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 5 = 0, -571*i + 6 = -572*i - y for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3364*o**5 + 38*o**2 - 9 - 1365*o**5 - 933*o**5 wrt o.\nAnswer: 63960*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 11*y**2 - 13*y - 10. Let q be b(-12). Suppose q*f - 244 = -34. Suppose 0 = o - 6*o + f. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + 1311110312?\nAnswer: 1311110300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o = -8*o - 280. Suppose -58*l = -o*l - 10. Let q(f) = -30*f. Let y be q(-1). Solve -5*b = 5*t - y, -2*t - 7 = -4*b + l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -150 + 210. Calculate the highest common divisor of 15 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -21*x - 551. Let g(i) = i**3 - i**2 + i + 27. Calculate the remainder when g(0) is divided by v(-27).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 * 1.5\nAnswer: 40.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 35 = -3*g, 4*o - 1 = 3*g + 4. Let s(n) = o*n + 1 + 1 + 34*n. Let a be s(-8). Round a to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 329238151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -170 - -178. Solve f = 6*y - 10*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 17*h**2 + 20*h - 32. Let q be r(18). Suppose -8*t = -q*t - 1252. What is the remainder when t is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 - 177406260*s + 1573649054359380.\nAnswer: 5*(s - 17740626)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9982 and 310?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 95, 242, 459?\nAnswer: 746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 10*u - 1. Let a be -2 + ((-36)\/3)\/(-3). Calculate the remainder when 37 is divided by m(a).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 - 25\/(-15)*6. What is the units digit of 3622\/h + 60\/(-160)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 5*y - 4*m, 7*y - 2*y = m + 37. Let b(t) = -10*t**3 + 22*t**2 + 7. Let o(c) = -3*c**3 + 7*c**2 + 2. Determine y*o(a) - 2*b(a).\nAnswer: -a**3 + 5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 1507 = 297. Determine m, given that 3*m**4 - 257*m - 18 + 121*m + 15*m**3 + 15*m**2 + g*m = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74587 divided by 4\nAnswer: 74587\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010738 rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 27 - 5 - 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2445\/4 - 616. Let h = 10005526622\/4508471 + 10\/409861. Let g = -2223 + h. Find the common denominator of g and t.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + sqrt(275) + sqrt(275) + 0 + 2 + 2*sqrt(275)*-5)**2 + 4 + -3.\nAnswer: -140*sqrt(11) + 13480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 5*c + 11 = -2*w, 2*c + 22 = -5*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11, -33, -55, -77, -99?\n\"Answer: -22*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 - 9*h. Let x(n) = n**2 + 4*n. Let r(k) = -4*i(k) - 9*x(k). Let m(v) = -4*v**2. Give m(r(s)).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1662, 1954, 2246?\n\"Answer: 292*l + 1370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c. Let k(n) = -n**2 - 9*n - 4. Let o be k(-6). Let w(b) = b + 14 - o. What is w(q(u))?\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of g**3\/3 + 3. Let z be t(-1). Suppose -n - 2 = -z. Is n at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/((w*w*w*w**(1\/2)*w)\/w)))\/w)\/w**(-4)*w**1\/(w**(1\/2)\/w*w))\/((w**(-4\/5)\/w)\/w**(-6)*w**8\/w*w*(w*w**(-5)*w*w)\/w*w) assuming w is positive.\nAnswer: w**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p**3 + 4*p**2 - p - 2. Let a(w) = -4*w**3 - 4*w**2 + 2*w + 3. Let y(o) = 2*a(o) + 3*b(o). Factor y(z).\nAnswer: z*(2*z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**3 + 5 + 51*a**3 - 20 + 14.\nAnswer: 53*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 - -5.3. Let x = -10.96 + 10.96. What is the fourth smallest value in 0.5, c, x, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v + 8*v + v + 29*v**3 - 104 - 13*v + 2*v to n*v**3 + f*v**2 + d + t*v and give d.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**7\/420 - f**6\/120 + f**4\/12 + 5*f**3\/3 + 2. Let x(d) be the third derivative of y(d). Let s = 0 + 2. Calculate x(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2294*c + 41723. Calculate r(18).\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -11.6456?\nAnswer: 13.6456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1137915117.\nAnswer: 3, 126435013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*g + 17*g = -2262. Calculate the highest common divisor of 290 and g.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 170.4 + -170. Which is the third biggest value? (a) 2\/13 (b) h (c) -5 (d) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2878*g + 319383. Give j(111).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -36064, -96377, -156690?\n\"Answer: -60313*o + 24249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 256468998 by -2.\nAnswer: -128234499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60\/3*38\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-9))**(3\/7)*f**24*f*f**(-1\/10)*f*f)**(-35) assuming f is positive.\nAnswer: f**(-1643\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10554, -10506, -10458, -10410, -10362, -10314?\n\"Answer: 48*m - 10602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 + 9*x - 12. Let u be o(-6). Suppose -4 = -4*z, -5*z + 30 = -2*w - 13. Let l = w + 19. Solve l = 2*m + m - u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 0.5 (c) -0.314 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 904 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22218 is divided by 2766?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -86687, -88357, -90027?\n\"Answer: -1670*g - 85017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 29. Which is the closest to 1? (a) 2\/5 (b) -0.4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -46*u - 13. Let q be h(-4). Let l = -25 - -44. What is the greatest common factor of l and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 16 = -3*p, 0 = 3*k + 4*p - 19 - 8. Let h = 903 - 899. Solve k*x = 19 - h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 611903147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jejs when four letters picked without replacement from {s: 2, e: 4, j: 2, f: 4}.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53328.\nAnswer: 2, 3, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of b**4\/24 + 7*b**3\/12 + 5*b**2\/2 + b - 6. Solve y(w) = 0 for w.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-53 - 11) - 21?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 4*a - 4*a)*(35*a - 37*a - 105*a) + (-2 + 2*a + 2)*(a - a - 2*a).\nAnswer: 210*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.1 (b) 4\/7 (c) -0.05 (d) -1 (e) -1.3 (f) 1\/3 (g) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11700 and 173420?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.697 * 0.213.\nAnswer: 2.491461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -890 (b) -5 (c) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**15*s)\/(s**(4\/13)\/s) assuming s is positive.\nAnswer: s**(243\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 20, 7*w - 79 = 3*w - 3*q. Let z be 98\/(-8) + (-4)\/(-16). Let o = z + w. Does 2 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -26*m**3 + 5*m**2 + 40*m - 5. Let p(y) = -175*y**3 + 35*y**2 + 280*y - 35. Let a(z) = 15*l(z) - 2*p(z). Determine n, given that a(n) = 0.\nAnswer: -1, 1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 49\/175474?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 146, 331, 590?\nAnswer: 923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from opowxopreoxowxx. What is prob of picking 1 p and 1 r?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 575 and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + y + 12 = 0. Let s(g) = -2*g + 4. Let w(u) = 4. Let n(h) = -2 + 3 + 2. Let x(v) = -7*n(v) + 5*w(v). What is y*x(f) - s(f)?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 2*z**2 - 2. Let u(f) = -5*f**3 + 9*f**2 + 8. Let i(l) = -l**2 + 7. Let w be i(3). Determine w*u(g) - 9*p(g).\nAnswer: g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -172 in 0, 2, -0.083398?\nAnswer: -0.083398","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24161665912*v + 273*v**3 - 24161665912*v.\nAnswer: 273*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -640 at least as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r - 37*r**2 - 133*r**2 - 220*r**2. Let a(s) = -s**2. Calculate n(a(x)).\nAnswer: -390*x**4 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/12)\/(2\/4)*-42. Which is greater: m or -47?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1261478 = -9*l + 988522. Suppose y - 2*i - 5 = 0, -3*i = 3*y - 0*i - 6. Suppose y*b - l = b. Round b to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 + 125. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2637 - 19363 = -2*u. What is u rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10800 and 864.\nAnswer: 21600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**3 - 5*c**2 + 119*c - 455. Determine f(4).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/82 - (-6033)\/123. Solve 198 = j*v + 51 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -806? (a) 3 (b) 2 (c) 1\/22 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -500*w - 59964 + 119933 - 59965 as g*w + o and give g.\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -147.893267 and 148.\nAnswer: 0.106733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 590650.\nAnswer: 2, 5, 11813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 36 = 27. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-34 - (-25 + 50)) + 27 - (1 + -1)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*a = 2 + 2, -v + 5*a + 28 = 0. Let r = v - 6. Let b = r - -3. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1629, 21, 0.5, 3, 5 in increasing order.\nAnswer: 0.5, 3, 5, 21, 1629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*c + 17803 - 17908 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.29 + 0.19. Let r be (-15 - 1)*(-28)\/16. Let a be -2 + (-1)\/(-10)*r. Sort l, 6, a in descending order.\nAnswer: 6, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z - 2*z**4 + 48*z**2 + 5923 + z**4 - 5926 + 4*z**3 to w*z + y*z**3 + i*z**2 + c + n*z**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-53)\/(-8) + 54\/144. Calculate the highest common divisor of i and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 16*m - 351 = 19*m, -590 = 5*a + 4*m. Sort a, 1, -1 in decreasing order.\nAnswer: 1, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 1077 = -3*i, -3*n + 3*i - 351 = -4*n. Let t(l) = 357 - n - 3*l**2. Let k(b) = 28*b**2. Give k(t(c)).\nAnswer: 252*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 190204 and 45941059.\nAnswer: 1286349652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 6:36 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - o + 4*p = 139, -5*p = 4*o - 512. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -214, -409, -606, -805, -1006?\nAnswer: -1209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128764736 + 128764736 - 3*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lxllllyxiiilysx. Give prob of picking 3 i and 1 s.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 374\nAnswer: 5\/374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16\/(-8)*(-154 + 3) is divided by 76.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-16 - -17) + -8 - (-33 + 0)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 21*i**2 - 9*i + 29. Let p be b(21). Does 15 divide ((-44)\/(-10))\/((-16)\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*g**3*n + 3*g**2*n*y**2 + g**2*n - 2*g*n - 3*g*y**2 + 18*y**2 wrt g?\nAnswer: -66*g*n + 6*n*y**2 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 447 times 2\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -18\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12953, 25856, 38799, 51782, 64805, 77868?\n\"Answer: 20*k**2 + 12843*k + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 2\/3, -0.02 in increasing order.\nAnswer: -0.02, 2\/3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -10*x. Let a be (-2)\/(-2) + 1 - -3. Let j be (4 - a)\/((-1)\/4). Let h(k) = -2 + k + 6 - j. Give 8*h(w) + y(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35*(3796\/(-1095) + (-14)\/(-21)).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 2 - w**4 - 43*w + 0*w**3 + 109\/20*w**5 + 3\/2*w**2. Find the third derivative of j(k) wrt k.\nAnswer: 654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 1025*g - 21690. Give b(21).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4032 by -504.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4469514?\nAnswer: 2, 3, 7, 106417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2 + 6 = -n, 2*n - 10 = -3*c. Let v = c + -10. Let w be (-7)\/(-2) + (-12)\/v. Solve -w*d = 2 - 17 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 115*q**2. Let r(c) = -115*c**2. Let b(v) = -6*r(v) - 5*u(v). Let k(f) = -2*f**2. Calculate b(k(t)).\nAnswer: 460*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 9*l - 16. Determine y(21).\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76528?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9147?\nAnswer: 3, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {i: 6, r: 8, t: 3, q: 2}?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 7 = -g - 11*p, 3*g - 3*p = -3. What is the nearest to -1\/6 in -0.5, g, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r = 18757*v - 18753*v + 76, 0 = -4*v - 4*r - 3 - 9 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -399 + 399. Suppose 0 = -3*b, 5*b = r - n*b - 10903. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from {g: 6, p: 13}.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 3. Let b be a(14). Suppose b = 3*x - 19. What is the common denominator of 3\/4 and x\/42*(-158)\/16?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**2 - 1288458*y - 2576904 = 0.\nAnswer: -429484, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55532 + -24?\nAnswer: -100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115, -51, 61, 227, 453, 745, 1109?\nAnswer: 1551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -210305608 - -2?\nAnswer: -210305606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u**3 - u**2 + u. Let w(s) = -14*s**3 + 3*s**2 + 4*s - 60. Let b(m) = 4*t(m) - w(m). Let f(c) = -c**3 + 4*c**2 - 30. Determine 3*b(i) + 5*f(i).\nAnswer: i**3 - i**2 + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031495 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1642 - 1642 - 6*d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.017036653 rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -51356 + -12?\nAnswer: -51370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-25))\/w**(-3\/11)*(w*w\/(w\/(w*w\/(w*w*(w*w\/(w\/w**27*w))\/w)*w)))**(-3) assuming w is positive.\nAnswer: w**(1081\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of 1\/180*g**5 + 1\/6*g**4 + 0*g + 22*g**2 + 0 + 11\/18*g**3. Find z, given that j(z) = 0.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: -6*25*18\/(-4050)*61\nAnswer: 122\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 - 37.91. What is the fourth biggest value in -0.4, 2, g, 1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 106 and 1582?\nAnswer: 83846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 33*b + 72. Does 12 divide r(24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f + 13. Calculate q(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**5\/36 + 55*t**4\/72 - 5*t**3 - 67*t**2\/2 - 176*t. Let d(h) be the first derivative of q(h). Suppose d(r) = 0. What is r?\nAnswer: 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1698262.\nAnswer: 2, 849131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**2 + 18*n - 10. Let t be v(5). Find the first derivative of -3 + 11*i**4 - 20 + t + 10*i**4 wrt i.\nAnswer: 84*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -1800\nAnswer: 1\/1800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3022, 15740, 36930, 66586, 104702, 151272, 206290, 269750?\n\"Answer: -q**3 + 4242*q**2 - q - 1218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5904 = -28*d + 53400. What is the thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174938 is divided by 6158?\nAnswer: 2514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 - -57044.\nAnswer: 57035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 11*l + 2415. List the prime factors of p(-71).\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7*z - 2 - 13*z**2 + 9*z + 11*z + 2*z. Let s(p) = p**2 - p. Let g(l) = -2*q(l) - 22*s(l). Factor g(n).\nAnswer: 4*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.12781754 rounded to 1 dp?\nAnswer: 13.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -35.1. Let r = v + -2.109. What is r rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -185 + 11. Suppose 3*i + 9 = 3. Is (z\/(-15))\/(i\/(-10)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2079 is divided by 80.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -2*m - 4. What is the units digit of m + (-4)\/((-4)\/5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*g = 130, 0 = -4*n + 2*g - 7*g + 91. Let v = n - 18. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 9*i**2 + 2*i - 6. Let k be c(9). Suppose -h + 2*x = -27 - 15, -5*h - 2*x + 174 = 0. What is the highest common factor of h and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-50))\/((-1)\/2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 10:16 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1048.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**2 - 640*y + 25600 = 0.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 0 - 2\/21*p**4 + 1\/210*p**6 + 0*p - 20*p**2 + 16\/21*p**3 - 2\/105*p**5. Factor c(d).\nAnswer: 4*(d - 2)**2*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36 or 57617?\nAnswer: 57617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - -3. Let o = 1 + m. What is the remainder when 30 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1089 divided by 111\nAnswer: 363\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/5)\/(1\/(-25)). Suppose 5*f = -3*o + 2009 - 366, 5*f + w = 0. Suppose -4*n - 1991 + o = 0. What is n rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 553 + -558. Sort -3, -2, b, -18.\nAnswer: -18, b, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16836)\/(-8) + 3\/2. Suppose -2*j + r = -412. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 165*g**3 - 35*g**2 - 8*g - 50. Let d be u(25). What is d rounded to the nearest ten thousand?\nAnswer: 2560000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 10*v**2 - 7*v - 162. Let s(w) = -21*w**2 + 15*w + 327. Let y(f) = 6*s(f) + 13*u(f). Let c(a) = -2*a. Calculate y(c(h)).\nAnswer: 16*h**2 + 2*h - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 93229393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88722?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqqialqliiq. What is prob of sequence qa?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -24*k + 15. Let m(g) = -16*g + 10. Give -8*m(p) + 5*n(p).\nAnswer: 8*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 59 + 2 = 4*w - 165, 0 = -33*v - 3*w - 514 + 2485 for v.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/165 and 86\/165.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*t = 51*t - 2*p - 13, 4*t = 3*p + 57 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 462405 to the power of 1\/2, to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2612 is divided by 378?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + 22 + -3 + -22.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -6*j**2. Let v(n) be the first derivative of -5*n**3\/3 - 14. Calculate c(v(q)).\nAnswer: -150*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w - 21*w - 4 = 2*g, -4*g - 14 = 2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 3:13 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 4*o - 7. Give y(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tg when two letters picked without replacement from {g: 1, t: 6, f: 2, c: 3, j: 4, z: 2}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - 115. Let f = i - -117.9. What is the third smallest value in 4, -8, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 - 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3954 - -3949. Put -3, 5, x, -2, 0 in decreasing order.\nAnswer: 5, 0, -2, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -92.2 - -91.085. What is g rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eemoeceececemf. Give prob of sequence ocf.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*v + 2281*v**3 + 5 - 24*v - 2285*v**3 - 2*v**2 as w*v + o + c*v**3 + d*v**2 and give w.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 19*q**3 - q**2 - 43*q + 82. Determine f(2).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 14 + (-9 - -7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g**3 + 2*g**2 + 7*g + 30. Suppose 10 = 36*y - 278. Does 14 divide s(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2 + h + 0 - 3*h - 3*h + 14. Let i be f(3). Which is the nearest to 2? (a) 2 (b) -7\/2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4 + 7*u + 4 - 5*u. Let k be q(1). Suppose -5*r + 4 = z, 0 = 5*r + k*z - 4*z + 8. Solve r = 5*y + 3*x + 20 + 20, -3*y + x - 10 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11940892?\nAnswer: 2, 19, 59, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 22 + 42 = -2*i, -k - 4*i = -12. Let v(w) = w**2 - 2 - 2 + 2*w + 7. Let h be v(-2). Solve h*g + 2*g + k = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -313556*j**4 + 261088*j.\nAnswer: -3762672*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x**2 + 472*x + 9822. Give w(-31).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 10*u**2 - 2*u - 14. Let b be v(-10). Does 24 divide 90\/(-35)*(-56)\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6016 and 3666?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14826 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4 = 0, -2*h = -5*h - 4*u + 1. Let s(i) = i + 7*i**3 - 5*i**3 - 12*i**3 + 8*i**3 + 2*i**2. Determine s(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-5 + 0 + 5 - 5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.9, -2, 41, 0.3, 9\/38?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 13*v + 21. Factor -14\/5*y - 2*y**v - 4\/5 - 2\/5*y**4 - 18\/5*y**2.\nAnswer: -2*(y + 1)**3*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8733816 divided by -2183454?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8726, 18512, 28298?\nAnswer: 38084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (37777 - 37777 - 361*s)*(-2*s + 5*s - s) as w*s + d + u*s**2 and give u.\nAnswer: -722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10141\/21 - -483. Suppose -x - 2*j = j + 2, -5*j + 10 = -x. Put 4, x, -0.2, y in decreasing order.\nAnswer: 4, y, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.255 (b) -1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-93)\/372)\/(243\/(-85194044)). Let k = j - 87648. Find the common denominator of -8\/9 and k.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-4 - -8)) + (0 - 0) - 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 6) + 2 - -1. Let t(k) be the second derivative of 0*k**5 - 3\/2*k**2 + g + 0*k**4 + 0*k**3 - 2*k + 1\/15*k**6. What is the derivative of t(q) wrt q?\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {o: 10, m: 10}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6839, 6813, 6715, 6509, 6159, 5629, 4883, 3885?\nAnswer: 2599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/20808 and -85\/22.\nAnswer: 228888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -308, -352, -396, -440, -484?\n\"Answer: -44*h - 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 0 + 7 = -5*x, -3*x + 3 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 0.34.\nAnswer: 4.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 3*s - 4. Let k be o(-4). Let n = 610 - 607.13. Let u = -2.77 + n. Is k smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3422246 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a - 14. Let g be o(-10). Let j = g + 50. Put 1, -6, j in increasing order.\nAnswer: -6, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11\/(-33)*(-3 + (1 - -2)). Solve 5*k + 268 - 283 = w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r*r\/(r\/((r*r*r\/(r**1*r))\/r))*r)\/r)\/(r\/((r\/(r\/(r**(-3)*r))*r*r)\/r*r)*r)*(r\/r**0)**(36\/5)*(r**0*r**(-1\/4)*r)**(9\/8) assuming r is positive.\nAnswer: r**(1447\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 273 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 10*h**2 - 8*h + 1. Let s be l(9). Suppose -10 = -q + s. Solve -2*m = -3*f + q, m = 4*f + 2*m - 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5388721095 to the nearest integer?\nAnswer: 73408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14810793*g*j**3 - 29*g*j**2 + 6090*g*j + 2*j**3 + 4 wrt j?\nAnswer: -88864758*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4422 divided by -6.\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 7*q**2 + q + 24. Suppose 3*c = -2*c + u + 30, -8 = -4*c + 4*u. List the prime factors of l(c).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.113 - 48.287. Let k = -44 - n. Let v = 4 - k. Sort v, 1, -0.2 in increasing order.\nAnswer: v, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o = o - 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 1:03 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2254453 is divided by 88.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -15. Solve -3*k - 1 = s for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + 222. Let h(p) = 2*p**2 + p - 1. Let j be h(-4). Calculate the highest common divisor of m and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*v**2 + 38*v**2 + 23*v**2)*(v - 3 + 3)*(4 - 1 - 2).\nAnswer: 45*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 817, 0.043 in descending order.\nAnswer: 817, 0.4, 0.043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/s**0)*s*s)\/s)\/s**1)**(9\/2)\/((s\/((((s\/s**(2\/5))\/s)\/s)\/s))**30)**40 assuming s is positive.\nAnswer: s**(-4080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 53 (b) -4322\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 10, i: 4, o: 1, q: 2}. Give prob of picking 1 g, 1 o, and 2 q.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*7\/(-70) - 0?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*d + 44*d - 3 - 16*d - 9*d in the form x*d + i and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4756 or 4538?\nAnswer: 4756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(-2 + (-21)\/6 + 3). Suppose v*t - f - 34 = 0, 3*t - 2*f = -6*f + 2. Is 1 + (-297)\/t*(-4)\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -407 = -2*y - 9*y. Calculate the greatest common divisor of y and 481.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26910?\nAnswer: 2, 3, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (24\/(-2))\/((-1)\/(-6)*-1*9). Let g(r) = -r**3 - 6*r**2 - 5*r - 6. Let m be g(-6). What is the highest common divisor of c and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 16*n**2 + 18*n + 94. Let g = -130 + 124. What is the units digit of m(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45 + 3?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1535158 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9223935*j + 9786313 wrt j?\nAnswer: 9223935","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*i - i + 2*i)*(-2 + 1 + 3) - 17692*i - 305 + 611 - 306 - 1680*i)*(-1 + 3 - 1) in the form l + k*i and give k.\nAnswer: -19374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(729\/72))\/(332\/16434).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -2.8 (c) -2\/5 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 4*f + 12. Solve -4*m + 0 = -f for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y**3 + y**2 + 16*y + y**4 + 4*y + 0*y in the form u*y**3 + b*y + f*y**4 + i*y**2 + d and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -799633*c*x**3 - 2*c*x**2 - 10664*c*x + 38*x**2 wrt x?\nAnswer: -4797798*c","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/10)\/((-156)\/(-195)) - (-2)\/(-288)*6.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*q + n + 3761, 0 = -q - 2*n + 761. Let k(v) = 17*v**2 - v + 6. Let r be k(-5). Let f = q - r. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -539, 8 in increasing order.\nAnswer: -539, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 7*g**2 - 7*g + 2. Let i be n(8). Put -1, 0, i in decreasing order.\nAnswer: i, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 376\/5 + -3374\/45. Let v = 41 + -44. What is the fourth smallest value in n, v, -7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 18 + 3 = 0. Suppose 5*v - q*v + 152 = 0. Let w be v\/(-16) - (-5)\/20. Solve -5 = -w*i + 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 413.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -113077\/4845 greater than -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 306, 300, 282, 246, 186, 96, -30?\n\"Answer: -l**3 + l + 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -529*n**2 - 6*n + 20 - 982*n**2 - 228*n**2 + 24*n wrt n?\nAnswer: -3478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55048 and 29?\nAnswer: 1596392","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/784 and -51\/980?\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (-20)\/(-8)*-2. Let j(s) = -10*s + h + 10*s - s**2. Let i(o) = 4*o**2 - 4 - o**2 + 0 - 3. Give 2*i(v) + 5*j(v).\nAnswer: v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/(33\/(-18)*2)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 5*i + 33, 4002*n = 3999*n + 12 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 10, -13?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 593*b**3*u**3 - 17*b**3 + 15*b**2*u**3 - 3*b**2 - 25*u**2 wrt b?\nAnswer: 3558*u**3 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.74502 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t + 0*t + t + (-163*t + 7708*t - 291*t)*(-2 + 0 + 1))*(-t + 4*t - t) in the form m*t**2 + z*t + y and give m.\nAnswer: -14512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.563 * -1.\nAnswer: -13.563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33787841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31.6, -692, 43, 3\/4 in descending order.\nAnswer: 43, 31.6, 3\/4, -692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 - 6 + 4 + 6634*w.\nAnswer: 6634*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 2965*b + 93189. Calculate x(-31).\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3\/3 - 572*z**2\/3 + 1744*z\/3 - 1168\/3.\nAnswer: -4*(z - 2)*(z - 1)*(z + 146)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1648.22 to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/(-42) + (-8)\/(-12). Let q = -0.86 - 0.14. Sort o, 0.5, q in decreasing order.\nAnswer: 0.5, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145 = 5*l + 140 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 255\/(-25)) + -2 + -1?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-68)*(-38)\/(-171). Let f = 47\/204 - o. Which is smaller: 2.8 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**6\/120 - 85*j**4\/8 + 2189*j**3\/6 - 2185*j**2. What is the first derivative of k(g) wrt g?\nAnswer: 3*g**2 - 255","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 738 and 12931466646.\nAnswer: 12931467384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 less than 1415\/28451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2100265024 - 2?\nAnswer: -2100265026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*n + 3852, -5*n - 2*v = -859 - 3970. What is the greatest common factor of n and 228?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2203, -2214, -2239, -2284, -2355?\n\"Answer: -h**3 - h**2 - h - 2200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*f + 2*d - 1, f + 5*d - 6 = 0. Let o be (-6)\/(2 + f)*-2. Suppose -3*j + 7 = b, 0 = -4*j + 3*b - o*b + 10. Solve 0 = -j*z + 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*f - 98*f = 0. Solve 3*d - 7*d + 4 = f for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 0*t + 15*t**2 - 6*t**3 - 1\/15*t**5 + 0 - t**4. What is g in h(g) = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -13. Let v = b - -9. What is the units digit of -6*(-1)\/(v + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f**3 + 2*f**2 - 17*f. Let p(r) = r**3 - 132*r**2 - 122*r - 1467. Let a be p(133). Let d(z) = -2*z**3 + z**2 - 6*z. Determine a*v(g) + 11*d(g).\nAnswer: -2*g**3 + 3*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 24271060522864?\nAnswer: 24271060522869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -93*w - 58. Let y be c(-5). Let n = 145 + y. List the prime factors of n.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 2*c + 26, 4*c - 2*w - 829 = -821 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {a: 1, k: 6, b: 1, w: 4, d: 6}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of y**4\/24 + 17*y**3\/6 - 10*y**2. Let j be h(6). Calculate the greatest common divisor of j and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 98 + z - 98 + 2*z - 3*z - 2*z + (z - 6*z + 2*z)*(0 + 2 - 5) + 2*z + 2*z - z.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 190463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1743, 4112, 6469, 8808, 11123, 13408, 15657?\n\"Answer: -x**3 + 2376*x - 632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-40)\/(-75) - 2\/(0 - -10). Let z(q) be the second derivative of 0 + 3*q - q**2 + h*q**3. Give z(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 5. Let d = u - 3. Suppose d*a = -3*a + 84. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1772886?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, s: 7, t: 3, x: 1}. What is prob of sequence tbs?\nAnswer: 3\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4709296 and 575?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 5:09 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 451607294?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7583 = 293*h - 4137 for h.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 5*g - 6 + 5 + 4*g. Let n(c) = c**3 + 3*c**2 - 2*c - 5. Let k be n(-3). Let m(b) = -3*b**2 + b - 3. Give k*y(j) - m(j).\nAnswer: 2*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**2 + 97*u**3 - 4*u**2 + 0*u**2.\nAnswer: 97*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n - 3*n - 3 + n)*((-2*n + 2*n + n)*(16*n - 16*n - 8*n**2) + 5*n - 5*n - 28*n**3) as i*n + f*n**4 + a*n**3 + u + s*n**2 and give f.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*m**3*o**2 - 125*m**2 - m*o**2 - m - 351 wrt m.\nAnswer: 84*m*o**2 - 250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-2 - -2) - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.050352 and -0.179.\nAnswer: 0.009013008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = k - 8. Let m be 62546\/(-88) - (-3)\/4. Let t = m + 5681\/8. Sort k, t, 1\/3, -0.3 in decreasing order.\nAnswer: k, 1\/3, t, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of j**9\/84 + 7*j**6\/30 + 19*j**5\/10 - 7*j**2 + 19*j. What is the third derivative of h(g) wrt g?\nAnswer: 720*g**3 + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-3)\/2*(-45)\/54?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -111.917384 rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 25*u**2 + 50*u + 127. Let a be c(-23). Solve 8 = -3*d + b - 7, -5*b = -5*d - a for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -12 (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/7*y**2 + 4\/7*y + 6\/7 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 5*k**2 + 44*k - 115. Calculate t(13).\nAnswer: -895","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 958 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 27021900 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76629065 is divided by 8222.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-11)*x*x\/(x*x**(-1\/9)) assuming x is positive.\nAnswer: x**(-89\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d2d8 (base 16) in base 10?\nAnswer: 185048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -30. Solve -7*s - u = -2*s, 5*s = n - 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-36)\/15)\/(-3)*(-10)\/(-4). Let w = 60 - 65. Let h be (j - -1)*(-6 - w). Which is the closest to h? (a) -1 (b) -0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 2:43 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 6*n - 9*n + 4*c, -5*c = 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38497 is divided by 33.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 11*q - 277. Let r be f(22). Put r, 5, -2 in descending order.\nAnswer: 5, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m + 2*m + 3*m + (16*m - 25*m - 42*m)*(-3 + 2 + 3) + 4 - 2 + m - 2*m.\nAnswer: -101*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 2 - (2 + -8 - (4 + -14))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61.8 - -72. Let v = -17.1 + r. Let u = 3.9 + v. Which is the closest to u? (a) -3 (b) 1\/4 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g*n**3*q**3*s + 2*g*n**2*q + 8*g*n*q**3*s + 3*g*n + 216*n**3 - n*q**2*s + 4*n*s wrt n.\nAnswer: 12*g*n*q**3*s + 4*g*q + 1296*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/4))**26*(a**(-5)*a**(-2\/13))**(-1\/35) assuming a is positive.\nAnswer: a**(17879\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4 + 4*g**2 + 2*g**2 - g**3 + 4*g - 2. Let w be q(6). Suppose -9*a - 14297 = -w*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/31, -2\/5, 0.1, -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ew when two letters picked without replacement from weywrnrwyewnn?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u - 8. Let r be p(-6). Find the third derivative of 5*w**5 + 2*w**4 - 11*w**4 + 7*w**2 + 9*w**r wrt w.\nAnswer: 300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -a**4\/4 - 8*a**3\/3 - 5*a**2\/2 + 25*a - 12. What is the tens digit of w(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 49 - 47, 4*z = r - 13. Solve 0 = 4*b + 3 + r for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4440*y - 31. Let k(p) = -1110*p + 7. What is 2*d(z) + 9*k(z)?\nAnswer: -1110*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of h**6\/600 - h**5\/150 + h**4\/120 - 2*h**2 + 7. Let s(o) be the second derivative of g(o). Solve s(j) = 0 for j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/5102 and 23\/8.\nAnswer: 20408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/2)\/(11\/22). Suppose 4*q + 3*n = 625, -2*q + u*n - 6*n + 305 = 0. Calculate the remainder when q is divided by 55.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(240) - sqrt(240)*-1 - sqrt(240)))\/(-2*sqrt(90)))\/(((sqrt(144)*2)\/sqrt(3))\/(sqrt(72)\/(sqrt(12)*-1) + sqrt(6) - sqrt(6))).\nAnswer: 5*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 n, and 2 m when four letters picked without replacement from tmhnmhrvmhhhm?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 - 715904*a**2 - 64074122890*a - 1665443279188.\nAnswer: -2*(a + 26)*(a + 178963)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5659 is divided by 784.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 25 = -q + 35, 2*k = -4*q + 204. What is the third derivative of -4932*b - 1 + q*b**4 + 4932*b - 18*b**2 wrt b?\nAnswer: 1248*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/12 - 949*b\/6 + 950\/3.\nAnswer: -(b - 2)*(b + 1900)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 0*x**4 + 0*x**2 + 1\/18*x**3 + x - 1\/30*x**5 + 0*x**6 + 1\/126*x**7 + 0. Solve q(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 0*i - 5*i)*(3 - 1 + 0 + (-3 - 3 + 5)*(0 - 1 + 2) - 3 + 6 - 2).\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hoxe when four letters picked without replacement from hxhthpetpohhpppxe?\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3*v - 48. Suppose 20 = 4*w + v. Let h = w - -4. Calculate the greatest common divisor of 77 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -0.1, -3, 5\/4, 6\/4505 in decreasing order.\nAnswer: 5\/4, 6\/4505, -0.1, -2\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -301.4\nAnswer: 1205.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.541 + 74.141. Let o = -73 + p. Which is greater: 6\/5 or o?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -8, -39, -6, 2, 32 in increasing order.\nAnswer: -39, -8, -6, 2, 3, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - 1 - ((21 + 2 - 27) + -30)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = o + 48. Suppose 7*t - 36 = -2*t. Solve -t*y = -y + o for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40244036760 - 40*b - 40244036760.\nAnswer: -40*b","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 2 - 10)*(0 - 2 + 0)*(-2*u**2 + 6*u**2 - 3*u**2)*(-2 + 2 + 2*u).\nAnswer: 92*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-20))\/(4\/(-8)). Let o = 0.57 - 0.07. Which is the closest to 0? (a) -0.2 (b) f (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1066 - 1062. Suppose 2*f + 17 = -2*f + n, 6 = -3*f + 3*n. Let q be (f + -1)*x\/(-8). Which is greater: q or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x - 4. Determine v(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14449014 and 373014.\nAnswer: 7038","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*s + 216*s**2 - 22*s**2 - 55*s - 38*s + 181*s - 43*s.\nAnswer: 194*s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -8*v**2 + 5*v + 5. Let y = 9 + -3. Let r = -30 - -33. Let s(j) = 3*j - 2*j + r*j + 2*j + 6 - 9*j**2. Calculate y*b(g) - 5*s(g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 442\/4 - 7\/14. Suppose 2*f - 7*f = -l. Calculate the lowest common multiple of f and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -47, -1, -23, -5 in descending order.\nAnswer: 3, -1, -2, -5, -23, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbb when three letters picked without replacement from {f: 1, b: 5, n: 3}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3908 (base 12) to base 6.\nAnswer: 50012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 762, 3376, 8334, 16122, 27226?\nAnswer: 42132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + c = -825, 5*f = c - 6*c + 1000. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 1. Suppose 2*s - 20 = -3*s, -4 = -3*t + 2*s. Suppose c = 0, -t*g + 3*c = g. What is the remainder when 1 is divided by b(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -1977?\nAnswer: -790.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 67575 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-14)\/42)\/((-4)\/6). Let i = 1 + -1. Which is the biggest value? (a) 1\/3 (b) f (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*p = -70*p - 5*m - 12, -4*p - 4*m - 16 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5319996)\/(-38) - 28\/(-266). Round d to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14, -12, -10, -8, -6?\n\"Answer: 2*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -189.349 (c) -0.5 (d) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 109 - 223\/2. What is the third biggest value in u, -0.076, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5978 = -3150*k + 116872 for k.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -19. Let d(o) = 2*o + 12. What are the prime factors of d(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 380\/8139 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 2*m + 6. Suppose 171*j = 4*j - 347 + 1349. Let s(b) be the second derivative of -b**4\/12 - b**3\/2 + 7*b**2\/2 + b. Determine j*g(l) - 5*s(l).\nAnswer: -l**2 + 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 490.725 + -486.7. Round x to one decimal place.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.29 (b) -0.66 (c) -83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*g**3*w - 42057412*g**3 - 2*g**2*w - 252688*g*w wrt w.\nAnswer: 4*g**3 - 2*g**2 - 252688*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 5815*p**2 + 48 - 15 - 5822*p**2. Calculate f(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 l when two letters picked without replacement from tilqlllil.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oooovvoovo?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*s + 15 = 3*y, -2*y - s = -3. Is (-1228)\/((-12)\/3) - y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 2:11 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 0*z - 8 + z - 3. Let t(r) = -4. Let l(k) = -8*t(k) + 3*y(k). Suppose 0 = -5*a + 6 + 9. Give l(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -208 in 0.17, -3, 19\/56?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-3) + -6 + (-48)\/(-9). Let y(i) = i**3 + i**2 + 5. Determine y(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -79*f + 391. Calculate t(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2 - 4*c. Let a(u) = -11*u**2 + 17*u + 1. Let m(o) = -2*a(o) - 9*l(o). Let f(h) = -3*h**2 + h - 1. Determine 7*f(r) - 4*m(r).\nAnswer: -r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 16*i**2 + 59*i + 6. Let s be l(10). Sort -5, -2, 0, s in descending order.\nAnswer: 0, -2, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5230 and -11.017868969?\nAnswer: 5241.017868969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + y**2 - 3*y - 1. Calculate the remainder when (-6)\/18 - 435\/(-9) is divided by b(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2065405 = x + 2065458 for x.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssssss. What is prob of picking 3 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.4, 2\/7, 3 in ascending order.\nAnswer: -1.4, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12809\/83 + 111575\/581. Suppose -p*o - 4\/7*o**2 - 260\/7 = 0. Calculate o.\nAnswer: -65, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d. Let p(w) = w - 1. Let i(r) = r - 1. Let u be i(2). Let o(c) = -5*c + 3. Let g(k) = u*o(k) + 3*p(k). Give -3*a(f) + 2*g(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 274. Let x = 775 - q. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 4)*((t + 3*t - 3*t)*(-5*t + 3*t + 4*t) + 9*t**2 - 3 + 3 + t**2 - t**2 - t**2) to b*t**2 + j*t + k and give b.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 7*h - 32 = -6*h, 4*w = 5*h - 14 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/10*(-149 + 3). What is the first derivative of 47 - w + n + 6*n + 2*n - 3*n**4 wrt n?\nAnswer: -12*n**3 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16931.2302s to days.\nAnswer: 0.1959633125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -18*t + 12*t. Let s = 81 - 103. Put t, s, -2 in ascending order.\nAnswer: s, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*(-5*sqrt(8)\/sqrt(4) - (5 + sqrt(2) + sqrt(8)\/sqrt(4))).\nAnswer: -56*sqrt(2) - 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/96*4*16\/40?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 2*w = -3*p + 10, -8 = -p + 3*w. Sort 4, p, -6.\nAnswer: -6, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -21. Let r be y\/(-6) + 25\/15. Solve m + 8 + 3*m - 4*m**3 - 4*m**r + 2*m**2 - 6*m**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 600 + 105 = 0. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-168)\/112*(-3)\/(18\/(-8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/22 and -33\/2032.\nAnswer: 22352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*v = -25. Suppose 3*c - 2*b + 5 = -3, c - v*b = 6. Let k = c + 7. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/3 - 245*f\/3 + 478.\nAnswer: (f - 239)*(f - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -91\/16358865?\nAnswer: -91\/16358865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*i + 964 = -187, 2*i - 926 = -4*o. Let y be o\/12 + 3\/(-12). Put -1, 5, y in decreasing order.\nAnswer: y, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 5:58 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*p + 22 - 64 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*d - 41*d - 37*d + 577825 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/2*(-30 - 13373\/(-344)). Which is greater: -1.7 or k?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142528*z - 10095 = 144792*z + 137065 for z.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-572)*13*164*(-4)\/(-8)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - f - 13, -3*d = 2*d - 3*f + 17 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2617516.\nAnswer: 2, 11, 19, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36330260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20.4 + -16. Let c = -4.7 + n. What is the closest to 1\/3 in c, -5, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*i - 2*h, -i - 5*h - 9 = -40. What is the second biggest value in -0.2, i, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 4 - 2*p**2 - 4.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -27. What is the nearest to 0.2 in z, 5, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1313745.\nAnswer: 3, 5, 87583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 + -33. Let a be 0\/(-3 - f\/(-1)). Solve -4*x + 6 = 3*v + 1, a = 3*x - v - 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2945, -2936, -2929, -2924, -2921?\n\"Answer: -n**2 + 12*n - 2956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 202 (base 5) to base 10\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350 = 4*y + 3*y. What is the remainder when 248 is divided by y?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 141.09 + -143. Let h = x - -0.21. Let t = h - -1.7000007. What is t rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238856 + u**3 + 79612 + 79624 + 79620.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -83378457?\nAnswer: 1\/83378457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 9) to base 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 358\/33 - 112\/11. Sort -3\/8, -2\/231, 5, j in descending order.\nAnswer: 5, j, -2\/231, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 223354 - 223787.474. Let j = i + 434. Round j to 2 decimal places.\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 at least 119\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 259 - 235. Let i be 5\/((-375)\/(-135))*(-100)\/t. Calculate the highest common divisor of i and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2336584 - -0.2344. What is m rounded to 5 decimal places?\nAnswer: 0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4006 + 588880\/147. Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (158\/237)\/((-16)\/(-6))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) -4544 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 2*k + 5*g - 10, -16 = -3*k + 4*g. What is the first derivative of -569*z - 248 - k*z**3 + 577*z + 2*z**3 wrt z?\nAnswer: -18*z**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 291, 433, 623, 861, 1147?\n\"Answer: 24*m**2 + 70*m + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33408)\/(-12))\/16*((-429)\/(-26))\/33?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 27571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6*1376429.\nAnswer: 2202286.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1023 and 4916879?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 4219.\nAnswer: -1\/4219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**4 + 6*y**3 - 2*y**2 + 6*y - 6. Let t(c) = c**4 + 5*c**3 - 3*c**2 + 5*c - 5. Let n(m) = -5*d(m) + 6*t(m). Find the third derivative of n(x) wrt x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -266 (b) 0 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4324 - -4319. Let i(y) = y**3 + 5*y**2 + 4*y + 7. Calculate i(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u - 21. Let t be m(-6). Suppose t*w - 79 = 23. What is the remainder when w is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -16. Let b = x - -10. Let p = b - 8. What is the greatest common divisor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 + -18. Suppose -4*b + 29 = 3*v, h + 28 = 5*b + v. What is the least common multiple of b and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/((4\/26)\/2). Suppose 0 = 4*k + 5*v - 106, -5*k + 11 = 4*v - l. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/34770 and -35\/1254.\nAnswer: 382470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2897117784 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 228195786 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11781734*m**2*s + 120*m**2 + 5681*m - 1 wrt s.\nAnswer: -11781734*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*w + 6 + 12. Let q(z) = -1 - 5*z**2 + 6 - z**2 - 3 - w*z. Let p(c) = -17*c**2 - 5*c + 5. Calculate 4*p(f) - 11*q(f).\nAnswer: -2*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/9 + 64648*x\/3 - 4847350\/9.\nAnswer: -2*(x - 96947)*(x - 25)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -31. Let l be (-3 - (-6)\/3)*2. Which is smaller: l or c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -15101*16\/((-40)\/10). Let r = 8698141\/144 - t. What is the common denominator of 139\/90 and r?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 12*w**2 - 20*w + 5. Let s = 71 + -67. Suppose 0 = y - b + 10, 3*y + b + s*b + 30 = 0. Let a be q(y). Solve -2*f - a = -f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 15150*v + 181674. What is u(12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) - (2 + sqrt(200)*5)) + (sqrt(2) + 5 + sqrt(242) + -5)**2.\nAnswer: -40*sqrt(2) + 286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 10*c**2 - 71*c - 12. What is h(7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3603*x**4 - 12841*x**2 - 3 wrt x.\nAnswer: 86472*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 13*m - 151. Let z(g) = -7*g + 75. Give 4*c(i) + 7*z(i).\nAnswer: 3*i - 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2243 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1629 + -1611 + (4 - 1266\/57)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.03 (b) -193.3 (c) -0.5 (d) 5 (e) 2 (f) 0.3 (g) -61\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from aaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/1 - 1) + (-6 - -29). Suppose -7*p + 12*p = u. Suppose k - 12 = -3*k, -8 = -5*z + p*k. Solve 9*d - z*d = -25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + sqrt(12))**2.\nAnswer: -4*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = -y. Let j = 11.6 + -8.6. Which is the smallest value? (a) 2 (b) y (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d - 3*d + 4*d)*(0 + 3 - 6) + 5*d - 2*d - d to the form k*d + w and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -99900 rounded to the nearest 1000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 733 and 2927602?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i. Let f(w) = 98*w**2. Give t(f(r)).\nAnswer: 588*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -335*l + 333*l + 8 = 0. Suppose 0*r - 3*r - 27 = 0. Let k = 7 - r. What is the least common multiple of k and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 434*z**2 + 4*z - 2. Let f(y) = 27778*y**2 + 258*y - 129. Let k(u) = 4*f(u) - 258*v(u). Let d(h) = 3*h**2. Determine d(k(l)).\nAnswer: 2218800*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + (sqrt(153))**2*2 - (((sqrt(119) + sqrt(119)*-1 + sqrt(119) - sqrt(119))*5)\/((sqrt(847) - (sqrt(847) - sqrt(847)*1)) + sqrt(7)))**2.\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1012*z + 365*z - 53163 = 360*z - 952*z for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -8521?\nAnswer: -6\/8521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - 10*t**2 - 3*t**2 - 16872*t**3 - 4*t**2 + 18*t**2.\nAnswer: -16872*t**3 + t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-75) + 16\/120. Let f(l) = i - l + 1 + 5*l - 1. Let k(x) = 2*x**2 + 8*x. What is k(f(w))?\nAnswer: 32*w**2 + 32*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 258158.04 microseconds to minutes.\nAnswer: 0.004302634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 57 = -81 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.05 + 0.05. Let c = 18 + 46. Let l = -63.9 + c. What is the nearest to l in 1\/6, -4, x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126586311 to the nearest integer?\nAnswer: 11251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227837.\nAnswer: 41, 5557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -80. Suppose -47*b - 2002 = -n*b. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 t, and 1 v when three letters picked without replacement from {n: 3, t: 1, e: 1, u: 1, x: 5, v: 6}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1647503094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*l + 5*l - 3*l)*(0*l - l - l)*(-9*l - l + 3*l) to the form i*l + m*l**2 + x*l**3 + n and give x.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 437.6093ng to kilograms.\nAnswer: 0.0000000004376093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-6)\/(k**(-2\/13)\/k))\/((k\/k**(-3))\/(k\/(k*k**5)*k)))**(-3) assuming k is positive.\nAnswer: k**(501\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 x, and 1 i when four letters picked without replacement from xixiiiixxidii.\nAnswer: 48\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q**5\/10 + 33*q**4\/10 - 19*q**3\/10 + 3*q**2\/10 = 0.\nAnswer: 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 318629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25346155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 430 - 622. Let b = j - -29. Let i = b - -176.2. What is i rounded to 0 decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 1:26 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266555 is divided by 174.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 42259585 greater than 42259589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12487, 22626, 32765, 42904, 53043?\nAnswer: 63182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 10 and 162\/19 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 41. Let x be (-92)\/l + 10\/(-55). Let v = 11 - x. Let a(o) = o - 5. Give a(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50\/203 + 3\/29. Let s = -3\/83 + -115\/1411. Which is the closest to -1? (a) k (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32.948 - -29.2. Let p = m - -3.6. Let j = -0.061 - p. What is j rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3390*j*n**2*p**3 - 4*j*n**2*p**2 + j*n*p**3 - 146*j*n - j*p**2 - 2*n*p wrt p.\nAnswer: 20340*j*n**2 + 6*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -201092, -201090, -201088, -201086, -201084, -201082?\nAnswer: -201080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 7126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36773065893.83 + 36757237515.829934. Let h = l - -15828453. Let x = 75 - h. What is x rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 172*b*g*m**2*y - 11*b*g*y**3 + b*m**2*y**3 + 27*b*y**2 + 101*m**2*y**2 wrt g?\nAnswer: 172*b*m**2*y - 11*b*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 2*t**2 - 3*t + 2. Let x be a(0). Solve -x*r + 9 = r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -u**6\/240 - 3*u**5\/40 + 2*u**4\/3 + 33*u. Let p(h) be the third derivative of w(h). What is the units digit of p(-27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.748071 + 0.062599. Let l = y - -78.14633. Let u = l - 79. Round u to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 16 = j - 4, -4*j + 15 = -f for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006666 rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/2)\/((-1)\/2). Suppose x*l - 10 = 40. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/47 + -89\/235. Which is the nearest to -1\/4? (a) 0.1 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*d - 6723 = 37*d - 6530. Let c(j) = j**3 + 3*j**2 + j + 1. Let s be c(-2). Let m(o) = -o + 3. Let t be m(s). Sort t, -2, d in increasing order.\nAnswer: -2, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 101 + -572?\nAnswer: -471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*z - 3364 = -4309 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6b26c2 (base 14) in base 4?\nAnswer: 31330222202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-4))\/((-15)\/(-100)*-5)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 10. What is the remainder when 13 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 1842c4?\nAnswer: 1842c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4129 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2))**(10\/11))**(-16)\/((f*f**(-5)\/f)\/(f*f\/(f\/(f\/(f\/f**7)*f)))*(f*(f*(f*f**3\/f)\/f*f)\/f*f)\/((f*f**(-4))\/f)) assuming f is positive.\nAnswer: f**(375\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 177328, 709320, 1595974, 2837290?\n\"Answer: 177331*s**2 - s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - ((-699165)\/(-48) - 1). Let p be 3\/12*-2*-29122. Let y = u + p. Find the common denominator of -15\/22 and y.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6728 minus 0.0848?\nAnswer: 6727.9152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 98*i + 1193. What is p(-15)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 107130679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 + 94*f**2 - 100*f - 192.\nAnswer: 2*(f - 2)*(f + 1)*(f + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 - 55*c**2 + 356*c - 2497. What is y(22)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 65\/42431 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j*q**3 + j*q**2 + 7*j*q - 415*j + 1848*q**4 - q**2 wrt q.\nAnswer: 6*j*q + 2*j + 22176*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3467 = 12*x - 745. What are the prime factors of x?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 168645665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f**2 + 23444804*f + 137414708649604 = 0. What is f?\nAnswer: -11722402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-116)\/(-10) + (-4)\/(-10). Suppose -2*l + 4 = s, -s + i = 2*l + 4*s. Let b(r) = -3*r - 4. Let p be b(-3). Solve -h = p - l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 99725 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/1*186\/(-5)*(-135)\/108.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -953*k**3*l*v*y - 274*k**3*l - 2*k**3*v*y - k**2*l*y + k*l*v - 2*k*v*y + 19*k - l*v*y + 3*l - 3*y wrt k?\nAnswer: -5718*l*v*y - 1644*l - 12*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24395765 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 7224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008887 to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 + -47. Suppose 2*c + 2*a - n = -1, c + 2*a = 10. Suppose c*u - 42 = 10. Calculate the remainder when 64 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) -9\/160 (c) 118\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 1800000*o. Let q be a(6). Round q to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 0*j = 27. Suppose j*c - 2*c - 9 = 3*d, -5*d = 4*c - 104. What is the remainder when c is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 - 27. What is the second derivative of -2*n - 6*n**4 + 13*n - 2*n**p + 2*n**3 wrt n?\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jik when three letters picked without replacement from jijjfijjjkfkfkj?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 80164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 q when three letters picked without replacement from {s: 1, r: 3, q: 1, w: 7, h: 4, n: 2}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4943, -5, -16 in increasing order.\nAnswer: -16, -5, 3, 4943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.243 + -13.24309029. What is f rounded to six dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 12:47 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 245 + -95. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ryyayyhhayreayya. Give prob of sequence heh.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 1 - 1)*(-73 + 21*w + 73) to the form r*w + i and give r.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (30\/(-1980))\/((-5)\/60*2). What is the second biggest value in y, -25, 1, 3.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 250*m - 300. Let l(u) = 126*u - 163. Calculate 6*j(x) - 11*l(x).\nAnswer: 114*x - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2202 - 21112010021?\nAnswer: -21112000112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 125\/(-750) - (-3)\/2. Let r(f) be the first derivative of 16*f + z*f**3 - 10 + 10*f**2. Solve r(u) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 551740105?\nAnswer: 5, 7, 1627, 9689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 13*k + 50. Let f be l(16). Let m = -9 + 19. What is the greatest common factor of m and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*b + 19*b + 48680010 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*x - 30, 5*z + 3*x + 34 = -3. Suppose -2*l - 4*l = -2*l. Sort -3, l, z in increasing order.\nAnswer: z, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*m + 155 = -1013 - 4331. Calculate the highest common divisor of m and 18941.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 3*i**2 - 12*i + 33. Give l(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + u + 8 = -18, 2*p + 5*u = -61. Let w = p - -27. Calculate the remainder when 5 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 - -47.4. Let s(i) = 3*i. Let m be s(1). Which is the nearest to 0? (a) 1 (b) t (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**2 + 9*p + 4. Let t(v) = -v**2 + 1. Let h(g) = r(g) + 2*t(g). Let c be h(-8). Let x = 0.009 - 7.009. Is x not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**38\/(((n*(n*n\/(n*n*n**(-11\/7)*n))\/n)\/n)\/n) assuming n is positive.\nAnswer: n**(276\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one sixteenth of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2678?\nAnswer: 2, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*d = -12*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2*g + g + 6296, 4*g - 7839 = -5*u. List the prime factors of u.\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 3*y - 2. Let h be f(2). Let t = h - 12. What is g in 2\/7*g + 4\/7*g**2 - 6\/7*g**3 + t = 0?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -7730, 1 in descending order.\nAnswer: 1, 0, -4, -7730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1533*u**3 - 2304*u**2.\nAnswer: -9198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsvlvsv. What is prob of sequence vs?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 5*x = 25, -3*z - 44*x - 25 = -39*x for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 + 30*b**4 + 8*b - 8*b**4 - 5*b**4 + 2 - 11*b**4 as l + r*b + i*b**4 + p*b**3 + z*b**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 2:28 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, k: 2, t: 2, w: 1}. Give prob of picking 2 k.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6*o + 93 = 0. Let f = o - -37. Suppose h - f - 284 = -3*d, 3*h + 610 = 5*d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 7*b + 8. Let q be s(7). Let t = -20 + q. Does 8 divide (t\/5)\/((-6)\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -366669340 to the nearest one million.\nAnswer: -367000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 37383 = 2*g + 37443, -g - 130*z = -125*z - 68 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*m = -861*m - 34400 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11953 is divided by 5941.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4608*n + 611155 = 228691 for n.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 16072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**2 + 140*n - 501. Let o be c(-50). What is the nearest to o in 0.1, -2\/13, 7, -14\/5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.2 - 2.1. Let m = 106 + -52. Let l = m - 55. What is the second biggest value in l, -5, k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -78282 to the nearest 1000.\nAnswer: -78000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*d + 14, 0 = 3*d + d - 5*n + 20. Let s be (-326)\/d - (-3)\/(-5). Let o = s - 12. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -210 + 149. Let j = z - -60.75. Let h = 0.45 + j. What is the third biggest value in 0, 1\/4, 6\/13, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/5, -2\/13, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1373\/10856 - -2\/1357. Which is the fourth smallest value? (a) 10 (b) 0 (c) -1 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166783994.\nAnswer: 2, 13, 23, 278903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 243*q**3 - 150*q**2 wrt q?\nAnswer: 1458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -48088300 to the nearest 100000.\nAnswer: -48100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 70\/98*14 - -6\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 6) + 10 - (2 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 501, 3 in decreasing order.\nAnswer: 501, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.5888*0.479\nAnswer: -0.2820352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -47, 0.4, -5, -1\/3, -16, -1?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7377 - 10*o**3 + 2*o**2 + 7377 - 5*o to v + j*o + c*o**3 + y*o**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 107419666 - 107419788.0000046. Let z = 122 + j. Round z to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1568088\/(-9012)*(1*(-1)\/6)\/((-7)\/(-7)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 184683 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from hhxxxhh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 < 467\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 22 and 22 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201491 is divided by 458?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*3.75\nAnswer: 0.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -202 + 90 + 55 + 92 - 11*w. Determine x(6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2177664444 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**4\/4 + 2*q**3\/3 + 13*q**2. Let f(d) = d + 2*d + 1 - 2*d. What is -4*f(t) + n(t)?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -314 + 122 - -101 - (-9 + (3 - 1 - 3)).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 73917 and 10887?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 12:59 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*t + 30. Suppose -t*y = -7*y + 515. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from weaeewi. Give prob of picking 1 i, 1 e, and 1 a.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3. Let v(j) = 7*j**3 - 2. Determine 4*h(f) + v(f).\nAnswer: 11*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46057\/61 - 755. Which is the closest to 2? (a) 5\/4 (b) i (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) -16 (b) 0.2 (c) 4 (d) -1 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 9 - (-7 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*d**2 + 4*d**2 + 6*d - 7*d**2 wrt d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.9952 + -0.92136. What is b rounded to 1 decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/8, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/165*1\/((-2)\/6). Put 3\/2, 2, o, -3 in decreasing order.\nAnswer: 2, 3\/2, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21779*g**4 - 211*g**2 - 1 wrt g?\nAnswer: 522696*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 101915*v + 224275?\nAnswer: 101915","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24724.7 days in microseconds?\nAnswer: 2136214080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 8*z**2 + 9*z - 3. Suppose 12 = 4*a + 3*g, a - 12 = -3*a + 5*g. Let b be 7\/2*6\/a. List the prime factors of k(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39.5 + -40. What is the third biggest value in -5\/4, j, 5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k + 8. Give p(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 9:57 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2306*f - 15174 = 1744*f. Let n(g) = g**3 + 2*g**2 - g + 1. Let y be n(-2). Is f at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 10:49 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5510 by 4.\nAnswer: -2755\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58\/1508)\/(-1*(-3)\/(-36))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.36 - -66.64. Let k = -68 + p. Put k, -3, -23 in ascending order.\nAnswer: -23, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 7*m + 4. Let z(w) = -2*w - 1. What is 6*j(q) + 22*z(q)?\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2309 is divided by 376?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 9 - (22 + -40 + 21).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*p - 12 = 25*p. Let i be (-6)\/33 + 4980\/165. Solve -2*d - p*a + i = 0, 3*d + d + 3*a = 35 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*r**2 + 13*r**2 + 30*r**4 - 1 - 32*r**4 to the form g*r**3 + d*r + f*r**4 + b*r**2 + h and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34026*f + 23482*f + 10427*f.\nAnswer: -117*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 2*g - 2*g + 3*g - 3*g + 4*g + (3*g - 2*g + 2*g)*(-1 + 3 - 3))*(-5*g - 4*g - 5*g).\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -3*j + 2*b + 3, -2*j = 3*b - 2. Sort -1, -20, j, 5.\nAnswer: -20, -1, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 27) + 6 + 33 - (11 - (1 + 12)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + 3*q + 55, 114805*g + 45 = 114806*g - 2*q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100121120 (base 3) to base 13.\nAnswer: c1c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -15, 2*g - 714 = -3*d - 2*d. Let z = 782 + d. What are the prime factors of z?\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**22)\/t**16 assuming t is positive.\nAnswer: t**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.357 + -29.557. Round r to the nearest integer.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -120336*q - 180. Let b be y(-5). What is b rounded to the nearest ten thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 8) in base 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-1*(-6*(-3*2*sqrt(132) + sqrt(132)))\/(((sqrt(300) - -2*sqrt(300)*-5) + sqrt(300) + sqrt(300) - sqrt(300)) + sqrt(300)).\nAnswer: 18*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/78 and 133\/6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0 + 12 + -21 + 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 106075191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 2*g**2 + 4*g - 1. Let o be f(-4). Let w be ((o\/2)\/5)\/(-3). Let h = -0.2 + 2.2. Which is the second biggest value? (a) h (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 130 - 10. Let s(g) = -4*g + 4. Let z be s(5). Let f = z - d. Solve 2*t + y - f = 0, 0 = 2*t + 5*y - 6*y for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -506.0831 to 1 decimal place.\nAnswer: -506.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*r - 2*f, -f - 1 + 5 = -2*r. Let l be 12\/(-84)*r\/(-3). Which is the closest to l? (a) -1 (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*l - 215 - 181. Suppose 5*v - 109 = -t, 5*v = -3*t + t + 208. Calculate the highest common divisor of l and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 - 7*d**2 + 53. Let p(l) = -5*l**3 + 20*l**2 - 157. Calculate -6*p(n) - 17*u(n).\nAnswer: -4*n**3 - n**2 + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -a50 (base 11) in base 10?\nAnswer: -1265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252*a = -271*a + 76. Let y(c) = 5*c**3 - c**2. Let t be y(1). Suppose 0*i + 398 = t*w - i, -w = -a*i - 107. List the prime factors of w.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3356*z**5 - 3172*z**2 + 15068089*z?\nAnswer: -67120*z**3 - 6344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14776)\/28 - 2\/7. Calculate the common denominator of -51\/2 and ((-4)\/(-6))\/(q\/(-2664)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 382 + 115980*m - 116004*m - 115 - 267.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + -3)*-2*1. Let t = 1.8 + -2. Let w = 0.3 - t. What is the smallest value in 0, w, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -925128 - 2354717 = -71*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 45 = s + 4*u, 9 = s + 2*u. Let v(t) = t**3 - 3*t + s*t - 2*t**2 + 2*t - 6*t**2. What are the prime factors of v(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 987311183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 17264647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nneen. Give prob of sequence nne.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 805936\/11 or 73266?\nAnswer: 73266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 13*z + 16. Let l be y(-12). Suppose l*a - 76 + 8 = 0. What are the prime factors of a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-8)\/t)\/t)**28 assuming t is positive.\nAnswer: t**(-280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 140795 + -1786406961\/12688. Let l = -15098731\/139568 - j. Let t = l - -108. Which is smaller: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - 2890863?\nAnswer: -2890857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71*f**2 - 6*f**3 + 4*f**3 + 85*f**2 wrt f.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/(-12) - (-3818)\/(-759) and -51\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(1584) - -2*sqrt(1584)) + 3 - (-3 + 1 + sqrt(1584))) - (-3*(0 + sqrt(1584)) - (sqrt(1584) - -3*(sqrt(1584)*2 - sqrt(1584)))))**2.\nAnswer: 864*sqrt(11) + 128320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i + 16 + 14 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5197*o - 114322. What is n(-22)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-68)\/3)\/(193\/39 + -5) is divided by 50?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/580 and 35\/12.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/3*(14 - -1). Sort h, 5, 108.\nAnswer: h, 5, 108","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*z**5 + 5*z**5 + 3*z**5 + 13*z wrt z?\nAnswer: 60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**3\/2 + 130343*h**2 - 8470484032*h - 3151948375040 = 0. What is h?\nAnswer: -370, 130528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00048251025 to 5 dps.\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in millimeters?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q + 0 = 10*q - 30 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*x - 65*x - 46*x)*(-6*x + 6*x + 4*x) + (x - x - 1 - x)*(x - 3*x + x).\nAnswer: -287*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -16*k**3 - 785*k**2 - 49*k + 2. Calculate p(-49).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 1. Let i be 3\/(-1 - (o - 1)). Suppose 0 = 3*j + i, -3*j + j - 11 = -3*l. Solve r = l*r - 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -126449 and 11.1.\nAnswer: -1403583.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -971, -1127, -1293, -1475, -1679, -1911, -2177?\nAnswer: -2483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3915*38\/(-1938) + (-8)\/(-34).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 + 46 = 8*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + z - 1. Let x be (-10)\/(-2 + 4\/4). Suppose -8*n = -13*n + x. Determine p(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 472915288*a*z**2 + 186781155*z**2 wrt a?\nAnswer: 472915288*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2466\/(-18632))\/((-8)\/((-128)\/12))\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 2\/17, -0.0499, 4\/3, 2?\nAnswer: -0.0499","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x**2 - 4*x - 4. Let g be 14\/5 + (-2525)\/(-125) + -19. Let s(r) = 8*r**2 + 9*r + 9. Give g*s(j) + 9*v(j).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -4*q - 58. Calculate the smallest common multiple of 76 and q.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 9*t**2 + 0*t**2 - 108*t**5 + 2*t - 126*t**4 + 9*t**2 - t**3 - 4*t**2 - 5*t**3 = 0.\nAnswer: -1, -1\/3, -1\/6, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 0.3 (c) 3\/4 (d) 122\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -432, -5, 179112 in increasing order.\nAnswer: -432, -5, 179112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.7633 - 0.2367. Sort 0.04, 5, 0.2, l in descending order.\nAnswer: 5, 0.2, 0.04, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1603, -1, 3.\nAnswer: -1603, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*o - 3. Let z = 88 - 75. Let a(h) = h**3 - 15*h**2 + 27*h - 13. Let l be a(z). Solve -3*c - d + 14 = 0, l = -5*c + o*d - 12 + 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 5*x**2 - x - 6. Let w be a(-5). Let d be -3 + (-6 - 183\/(-21)). Is w <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23 - -1?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -559 + 621. What is the remainder when 131 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 11*b - 8*b = -21, -5*b = -5*n + 5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x - 9895 = -1335. Let i = x - -1693. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**5 - 159*d**4\/2 + 102*d**3 - 41*d**2\/2 = 0.\nAnswer: -41, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrdr when four letters picked without replacement from rdddrrrdrdddrrddddd.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53 + -11 + 8\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d - 4. Let f(t) = 10324*t**2 + 82592*t + 165184. Determine f(g) + 41296*v(g).\nAnswer: 10324*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 6:10 AM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*x + 18, -5*j + 0*j + 2*x + 2 = 0. Suppose -3*y - 2 = -5*s, -y - 2 = -j*s - 1. What is the remainder when (y + -2)\/((-1)\/9) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 50239 = -4*u, -72645 - 78042 = -3*x - 3*u. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75402 divided by 639?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 78740, 157481, 236222?\n\"Answer: 78741*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 19 = -4*o, 196*j + 8 = 192*j + 4*o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -6*i + 3*i + i + 3*i. Let n(c) = -11*c. Give v(n(m)).\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6221996 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42383?\nAnswer: 11, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-2))\/(104*(-30)\/(-240)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -6*p - 2. Let c(l) = -l**2 + 10*l - 9. Let x be c(10). Calculate the remainder when n(x) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 88.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from brfrbbbfffsbrsfbb. Give prob of picking 1 b, 2 s, and 1 f.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12933 - 12900. What is the remainder when 2539 is divided by v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6053*l**4 + 815*l**2 + 8*l - 16. Let f(v) = -4037*v**4 - 543*v**2 - 5*v + 10. Let k(d) = -8*f(d) - 5*o(d). Find the third derivative of k(a) wrt a.\nAnswer: 48744*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60401254 (base 7) in base 13?\nAnswer: -1064bb1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**3 - 212*q**2 + 5824*q - 10816 = 0.\nAnswer: 2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39015 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d115a (base 14) to base 8.\nAnswer: -1725234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.2? (a) 41 (b) 0.6 (c) 7 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 2. Suppose a*h - 15 = 2*j, -j - 2 = -5*h + 18. Suppose -5*v + 37 = 4*r, v - 2*r = -3*r + 8. Solve 17 - 7 = h*u - v*d, d + 4 = -u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) 0.01 (c) 1\/2 (d) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-53)\/(-106) + -6)\/((-1)\/2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265*b**2 - 3*b**3 - 2 + 13241*b - 265*b**2.\nAnswer: -3*b**3 + 13241*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -147, -147, -125, -75, 9, 133?\n\"Answer: w**3 + 5*w**2 - 22*w - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 9*d + 11. Let w be s(-10). Is 1 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 825?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) -0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssv when three letters picked without replacement from uuufvsfuiissvs.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 169*i + 2362. Let z be n(-14). Let m = -17 - -57. Let v be (-6)\/5*m\/(-16). What is the second biggest value in z, v, 4, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31296 and 5868?\nAnswer: 93888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 50305 a multiple of 511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/5, -2457, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000539501898 to seven dps.\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 32 - 8 + 5*f - 12 in the form u + v*f and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/366 and 143\/732.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-3) + (-6)\/(-3). Let x = 5 + -4.2. Let r = x - 0.5. What is the nearest to -1 in -5, r, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0, -7817, 0.03, 4\/3, 1\/4, -1\/7?\nAnswer: -7817","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 1.07, -0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -183, -188, -195, -204?\n\"Answer: -f**2 - 2*f - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94 + 95. What is the tens digit of (4 - (-1 - b))\/((-54)\/(-180))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**2 - 1218*c + 99864 = 0. Calculate c.\nAnswer: 114, 292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*s**2 + 10*s**2 - 5*s + 21*s.\nAnswer: -32*s**2 + 16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/180*(-3)\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 156663059 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -19) + 15 + -7?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-10)\/(-25)*-2)\/((-3)\/(-15)))\/(-10).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 4*u + 6, 5*i = 4*i - u - 15. Let n = i + 13. Suppose -2*h - h - 12 = -3*s, 4*h = 3*s - 10. What is the remainder when s is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*l - 130*l = 160 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1 = 5. Let r(s) = 3*s**2 - s + b - s**2 - s**2. What is r(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h**2 - h + 1. Let a be g(1). Let i(k) = k**2 - 5*k + 6. Let o be i(a). What is the highest common divisor of 4 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4620)\/440*9\/((-135)\/(-70)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, e: 6, d: 7, p: 2, z: 1}. What is prob of sequence zp?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/(-50))\/(177\/30). Sort 3, 7, s, 1\/3.\nAnswer: s, 1\/3, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/706990161 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**35)**(-28)\/(x*x*x**(9\/2)\/x)**7 assuming x is positive.\nAnswer: x**(-2037\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 966, 2000, 3108, 4290, 5546?\n\"Answer: 37*q**2 + 923*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -25 (b) 1 (c) -2442.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 46\/8 + (-142)\/(-568). Suppose i + p - 11 = 0, 0 = -3*i - 0*p + 3*p + 27. Suppose -i - 15 = -5*h. Solve 2*y + j = h*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ngglnglgn. What is prob of sequence nngl?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 7*t - 4. Let p be s(-8). Let k = -22 + 2. Let l = 30 + k. Solve -l = h + p*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 7*s**2 + 7*s. Let q be z(8). Let p = -1150 + 5813\/5. What is the common denominator of (-204)\/40*10\/q and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 34*p**6 - 7*p**4 + 8*p**2 - 5*p. Let o(v) = 69*v**6 - 13*v**4 + 15*v**2 - 10*v. Let h(a) = 11*i(a) - 6*o(a). Find the third derivative of h(d) wrt d.\nAnswer: -4800*d**3 + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1436, -2825, -4204, -5573, -6932, -8281?\nAnswer: -9620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 11*h + 32. What is the remainder when i(-5) is divided by 39?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*s = s - 10, 2*s + 4 = -2*f. Let t = f + 8. Suppose -t*c + 2 = -93. Does 19 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 950 by -5.\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - a - 1. Let s be t(0). Let f be 9\/6*(-2)\/s. Suppose f*b = -9 - 0. Sort b, 0, 4.\nAnswer: b, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 3\/5, 223, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 282 - e?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*z**2 - 14*z + 1877*z**2 + 14*z.\nAnswer: 1742*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, j: 1, f: 2}. Give prob of sequence llll.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -278 - -421. Calculate the greatest common factor of 55 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 320*h + 4729 + 4812 - 9349 + 48*h**3 + 192*h**2 + 4*h**4 = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 32 = -8. Let c be s\/20*(-1)\/(-3). Let b be (-31)\/60 + (-6)\/(-10). Sort b, c, -2\/11.\nAnswer: -2\/11, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**6\/6 - 299*x**5\/15 - 235*x**4\/6 + 118*x**3\/3 + 4724*x**2 - 2*x. Factor g(r).\nAnswer: -4*(r + 1)*(r + 59)*(5*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 25 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 + 62 + 60 - 122.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y + 3 - 4 - 2. Suppose 3*r = -p - 9, 4*p - 2*r + 9 = 3*p. What is the units digit of v(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9 - 10) + 1*15. Suppose -4*c + o = -14. Suppose t - c = -5. Round t to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00050456298 to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7658821369.\nAnswer: 7658821369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*m - 6. Let g be 2\/m*42\/2. Let t = g - 3. Solve t*k + 2*h = 18, -17 = k - 5*k - 3*h for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -122*p + 111*p. Let g be (-12)\/15 + (-632)\/310. Let y = g - -410\/341. Is p smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(72)\/sqrt(432))\/(5*sqrt(27)*-5).\nAnswer: -sqrt(2)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -70\/3. Let i = 36 + -32. What is the nearest to 2\/5 in i, d, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 900 and 919980?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 24*z**2 + 3*z - 2. Suppose 0 = -o + 3*g + 4 - 14, 3*o - 2*g + 65 = 0. Let t = o - -22. Is h(t) 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 1118 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 230143410 (base 5) in base 9?\nAnswer: 1826485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wfpiiwiui. What is prob of picking 2 w?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k - 1. Suppose -4*u + 15 = u. Let r(v) = -v**u + 0 + 0 + 7*v**2 + 7 + 2 - 2*v. Let m be r(7). What is b(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -15. Let s = 19 - 16. Solve -3*p = f + s*f + 3, -3 = 3*p - z*f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 8*q**2 + 6*q + 12. Give u(-8).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*c**3 + 2*c + 351*c**3 - 1 - 17 - 4.\nAnswer: 524*c**3 + 2*c - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2134, 2135, 2136, 2137, 2138, 2139?\n\"Answer: m + 2133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.03146712 and 89.\nAnswer: 89.03146712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 5*w - 2. Let s be c(4). Suppose -s*g = -5*g + 6. Suppose r - 40 = g*o - 0*o, r - 43 = 5*o. List the prime factors of r.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9620874 and 8326?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 73*n**2 - 8*n + 643. Calculate the remainder when 318 is divided by f(73).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60501099 is divided by 38.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 divided by -208383.\nAnswer: 37\/208383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 125.126690467 + -115.45669123. Let d = 9.67 - x. Round d to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -949, -963, -979, -991, -993, -979?\n\"Answer: k**3 - 7*k**2 - 943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 44 = -40. Let i be (-2)\/(-7) + (-1420)\/m. Suppose -i = -0*b - 3*b. Solve b = 5*q - 8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3124*l**3 + 75*l**3 - 147*l**3)*(-l + 0*l - l).\nAnswer: -6104*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6369)\/6)\/(((-12)\/(-3))\/(-8)). Let x = 214421\/101 - h. Let l = 188\/707 - x. What is the biggest value in -0.2, -3, l, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 134*s + 10862. Give q(-81).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 1 + 1 + -1. Let n(q) = -q**2 - 14*q - 11. What is the remainder when n(-8) is divided by (2\/y - -6) + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**4\/3 + 1154*l**3\/3 - 165874*l**2\/3 + 7940422*l\/3 - 40473116 = 0. What is l?\nAnswer: 37, 114, 389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -181*p + 1675. Let w(o) = 181*o - 1674. Let r(a) = -6*i(a) - 5*w(a). Differentiate r(k) wrt k.\nAnswer: 181","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31424610 is divided by 5237432.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94886 + -136886. What is j rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -397 or -401?\nAnswer: -397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + sqrt(117)*1*-4)\/(sqrt(900)*1).\nAnswer: -3*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4758612 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 3*l**2 + 4*l - 6. Let y be o(-5). Suppose 2*j - 5*t = 24, -2*j - 4*t + y = -3*t. Solve -16 = i - j for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) -2786 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**4\/60 + 2*a**3\/5 + 2*a**2 + 162*a. Factor s(r).\nAnswer: (r + 2)*(r + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -3\/4, -0.1, 2, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/((-10)\/(-7)) + -2. Let d(o) = 176*o**2 - 36*o. Let q(m) = 70*m**2 - 15*m. Let u(r) = t*d(r) - 12*q(r). Give u(-1).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 2*u = -11 + 6, 0 = -i + 5*u - 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10012002 (base 3) to base 15.\nAnswer: a4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 1:48 AM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 8*p - 8. Let b be w(-10). Suppose 7*j - b = j. Factor -1 - 18*u - 35 + 9 - 2*u**j - u**2.\nAnswer: -3*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of 1\/24*x**4 + 0*x + 1\/3*x**3 + 0 - 2*x**2. Let w(o) = -4*o - 7. Let y = 7674 + -7676. Give y*w(m) - 7*v(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 8*b + 10. Give k(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -10*k**5 - 10*k**3 + 22*k**2 + 10*k - 10. Let w(a) = a**5 - a**3 + a - 1. Let r(p) = v(p) - 10*w(p). What is the third derivative of r(i) wrt i?\nAnswer: -1200*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182861717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4576 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 r when two letters picked without replacement from hruar.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y - 4. Let l be q(-11). Solve 3*g + l = 5*n, 4*n + g - 35 = 4*g for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16.2918 and -0.2.\nAnswer: -3.25836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 1308 = -6*a + 1284, -2*p = 22*a + 88 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.3, -0.5, 3\/619?\nAnswer: 3\/619","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1148, 4572, 10280, 18272?\nAnswer: 28548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13089 divided by -3?\nAnswer: -4363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**3 + 13*h - 11*h - 4*h**4 + 2*h**4 - 2 to x*h**3 + z*h**4 + k*h + u*h**2 + v and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**2 + 10*w + 2. Let c(g) = -7*g**2 - 22*g - 3. Let n(m) = 2*c(m) + 5*z(m). Calculate n(-9).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(48)\/sqrt(6)))\/(3*(sqrt(2) + sqrt(2)*-3 + sqrt(2))) + 0.\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 465 a factor of 408819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2635 and 11.76648.\nAnswer: 11.50298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.466 - -0.58. Let u = i + -0.046. What is the closest to 0.2 in u, 2\/11, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 4*x + 3*x)*(-6*x + 5*x + 5*x)*(60*x**2 - 38*x**2 + 108*x**2 + x**3).\nAnswer: 8*x**5 + 1040*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.313628 micrograms to tonnes.\nAnswer: 0.000000000004313628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/31 + -35\/124. Let k = 11 + -6. What is the second biggest value in a, -2\/5, k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -4130036\nAnswer: 5\/4130036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4.16 * -0.03\nAnswer: 0.1248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**2 - 3*n - 2. Let t be z(-1). Let g(w) = -w + 3. Let p(s) = -1. Give t*g(q) - 9*p(q).\nAnswer: 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.3 take away 39818730?\nAnswer: -39818737.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 4*f + f)*(83*f**4 + 425*f**4 - 55*f**4).\nAnswer: 453*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k. Let n be q(1). Suppose -b + 21 = -j + 4, 51 = n*b - 5*j. Let c = b - -49. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (7 - -5) - 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, -0.11, 1\/6, -444, -3\/4, -0.27?\nAnswer: -444","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(320)*-2)**2*-4 + (-4 + sqrt(320) + -2 + 0)**2.\nAnswer: -20124 - 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19812 by 78.\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43428390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zuzussuu. Give prob of sequence uzzu.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15273 and 12926049?\nAnswer: 38778147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.0044*1628\nAnswer: 7.1632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 45\/10*(-6)\/(-9). Let d(b) = 4*b**2 + 4*b**3 - 1 - 2 - 7*b**t + 2*b**3 - 3*b. Determine d(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6473821 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5747, -11624, -17501, -23378, -29255, -35132?\n\"Answer: -5877*c + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 8. Suppose 3*w + 7 = -r*j + j, 2*j = -5*w + 3. Suppose -5*q + m + 60 = -1055, j*m = 20. Calculate the highest common divisor of q and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.11 + -2.89. Let w = -53 + c. Let a = -60 - w. Are a and -9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -199.4 + 200. Which is the third smallest value? (a) z (b) -4 (c) -5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-1 + 3)) + -6 + (-10 - -15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 13066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*q - 13 = 29, -16 = -2*g - 2*q. Suppose -3*o + 60 = 3*s, s - 3*s - 114 = -5*o. What is the remainder when o is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15592 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1260, -6, -5, 2, -1 in descending order.\nAnswer: 1260, 2, 1, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -6*z. Let i(f) = f. Let l(h) = -4*h + 16. Let r(t) = 2*i(t) + l(t). Let c be r(7). Let k(x) = x**c - 64 - 60 + 124. Determine k(j(p)).\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -0*q + 8, 0 = -4*o - 5*q + 76. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 39 = -5*q - 15, u = 1. Solve 0 = -q*p + 4*p + 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**4 + 0*t**4 + 0*t**4 + (-87*t**2 + 55*t**2 - 96*t**2)*(6*t**2 + 4*t**2 - 13*t**2).\nAnswer: 382*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-14)\/(-3))\/2 - (-12)\/(-6). Let v = -7.07 + 0.07. Let m = v - -7.1. What is the second biggest value in -7, r, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p - 37. What is f(-12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -6*v + 2*v + 33, 4*v = 3*d - 39. Let x be -9*1\/(d\/(-96)). Let c = -46 + x. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7182593?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 121343 and -3\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 32\/11. Let a = 47 + -47.95. Let l = 1.95 + a. Is l > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -v**5\/20 + 2*v**4\/3 - v**3\/3 - 4*v. Suppose 12*w + 130 = 226. What is c(w)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j**2 - 9*j**2 - 1 + 1.\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/6)\/(2\/(-6)). Let k = -4 - x. Suppose -m - 2*r + 31 = k, -4*r = -5*m + 241 - 58. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -38 + 10\/(-6)*36\/(-20). Let f(v) = v - 4. Let g be f(6). Let p be -1 - 1 - -5 - (g + -4). Put p, d, -4, 4 in increasing order.\nAnswer: d, -4, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifteen quarters of a century?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010 + -111?\nAnswer: 110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**2 - w + 24. Calculate the smallest common multiple of 72 and h(6).\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 6. What is the highest common factor of m and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 442*h**3 - h**2 + 2*h. Suppose 5*p - 13 = n, -5*n - 7 = -3*p - 4*n. Suppose p*i - 42 = -39. Is u(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -1\/3 (b) 0.5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 52, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 9*s**5 - 1245*s**4 + 1611*s**3 + 4569*s**2 - 6588*s + 1644 = 0.\nAnswer: -2, 1\/3, 1, 2, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-2))\/(30\/55*11)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**8\/3360 - x**6\/240 - x**4\/4 + x. Let u(k) be the third derivative of h(k). What is the second derivative of u(b) wrt b?\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*o = -70*o. Solve o = -28*w + 26*w + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3b1 + 26164?\nAnswer: 26545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -1821*i. Let w(k) = -12*k. Calculate q(w(a)).\nAnswer: 21852*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 86 = -5*i, -4*i + 76 = -y - 4*y. What is the tens digit of (-108)\/(-189) - (-2554)\/i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17628*r = -17643*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 25 = -4*g, -23*t = -4*g - 24*t + 37 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*(x\/(x*(x\/(x**2\/x))\/x))\/x*x**(-1\/2)*(x\/(x\/((x*x*x\/(x*x\/x**(-2\/3)))\/x)))**(2\/13) assuming x is positive.\nAnswer: x**(109\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 695 is divided by 238.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*(sqrt(171) - (sqrt(171) + sqrt(171)*-2 - sqrt(171))) - sqrt(171))*4)\/((sqrt(576) + (sqrt(576) - -1*sqrt(576) - sqrt(576)))*-6))**2.\nAnswer: 2299\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + s + 13 = 0, n + s = 6*n - 15. Find the second derivative of -18*u - 7 + 10 - 3 + 22*u**n wrt u.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -430\/7 - -3237\/56. Let t be (-102176)\/8540 - (-4)\/14. Let i = t - 44\/61. Find the common denominator of i and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2, -8\/21, -1.7 in decreasing order.\nAnswer: -0.2, -8\/21, -1.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**3 - 202*d**2 + 251*d - 127. Calculate i(66).\nAnswer: -985","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 5*p - 4*n, -3*p + 22 = -0*p - n. Suppose -p = m + 2*g, 0 = 3*m + 4*g - 2*g - 2. Let l(d) = 6*d + 8. What is the tens digit of l(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -267.1 and -0.147985?\nAnswer: 39.5267935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**3 + 1979*c + 3*c**3 + 6 - 1981*c - 2*c**2 - 3*c**4 to the form t*c + v*c**2 + d + q*c**4 + n*c**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 939751 != 939751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50.38 - -51. Let a = -0.02 + l. Let w = a - 0.28. What is w rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226752.5ml in litres?\nAnswer: 226.7525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28771448.\nAnswer: 2, 3596431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.4 + -0.9. Let v be 3\/(-4) + (-5)\/(-20). Which is the third smallest value? (a) i (b) -2\/5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -16. Sort m, 5, -3 in increasing order.\nAnswer: -3, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(-3 + 1 - 3)*(-29 - 4 - 6)*(0*g**2 + g**2 - 3*g**2)*(21*g + 3*g**2 - 21*g).\nAnswer: 2340*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 116*a + 1292. Let b be u(-9). What is the greatest common factor of 217 and b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1285*q**3 - 320*q**3 - 321*q**3 - 655*q**3 + 7.\nAnswer: -11*q**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**8\/1680 - a**7\/840 + a**3\/2 - 2*a**2. Let y(u) be the first derivative of w(u). Find m, given that y(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.23, 5, 3?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1\/3 (b) -1\/4 (c) -1748\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 12:15 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 14 - 9) + (6 - (22 + -6 + 12))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(6000)*1 + sqrt(6000))\/(sqrt(972) - (1*5*sqrt(972) + sqrt(972) - sqrt(972) - sqrt(972))).\nAnswer: 10*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-8) - (-105)\/4. What is the highest common factor of q and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 4:00 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*z**2 + 1401041*z**3 - 330*z**2 - 1401008*z**3 + 170*z**2.\nAnswer: 33*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w**3 - w**2 + 18*w + 4. What is the hundreds digit of q(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2277, 2272, 2271, 2274, 2281?\n\"Answer: 2*k**2 - 11*k + 2286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -1\/24*a**4 + 0 + 0*a + 1\/3*a**3 - a**2. Calculate w(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -2*i**7\/147 - 3637*i**6\/210 - 94847*i**5\/15 - 307945*i**4\/14 - 175692*i**3\/7 - 39*i**2 + 5*i. Let c(b) = 0. What is b?\nAnswer: -363, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 144767*i. Let y(r) = -2*r. Determine y(b(w)).\nAnswer: -289534*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 16*a + 17. Determine h(7).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 296 - -210. Suppose -5*r = -b + 203, -3*r - m = 5*b - 1605. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*q + 68 = -126*q + 3*g, -3*q + g = -102. Calculate the remainder when 511 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -6*f - 3. Let b be q(-3). Let l = 111 - b. Does 24 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 665*k**2 - 665*k**2 + 6*k**3.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 17*i - 22213975 = 0. Suppose 26*r - r = i. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u - 21*u = -85800. What is u rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**3 - 7*u - 1. Let p(o) = 4*o**3 + 13*o + 1. Suppose 9*d + 3*a = 4*d + 27, 11 = d + 2*a. Determine d*p(j) + 5*f(j).\nAnswer: 2*j**3 + 4*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**5)**21)**(1\/75) assuming n is positive.\nAnswer: n**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 7656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 159 + -140. What is the first derivative of -60 + x - 28*y - 42 - 2*y wrt y?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8172 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 r**5\/4 + 107*r**4\/2 - 959*r**3 + 10437*r**2\/2 - 33957*r\/4 = 0. Calculate r.\nAnswer: -231, 0, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-4 + -2 + -10 + 21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0*j**3 - 2*j**2 - j**3 + 2)*((-5*j - 2*j + 0*j)*(-2 + 3 + 1) - 5*j + 0 + 0).\nAnswer: 19*j**4 + 38*j**3 - 19*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c**3 + 9*c**2 + 5*c. Let p(m) = 5*m**3 + 10*m**2 + 5*m - 1. Let s(l) = 6*j(l) - 5*p(l). Suppose -29 = -5*f - 0*h + h, 0 = h + 4. Give s(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1*(98 + (-2 + -1)\/(-3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1010 - -711. Let q = -222 - y. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 617*z - 622*z - 3*u = -5, 2*u = 4*z - 26 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33\/3881 or 0?\nAnswer: -33\/3881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 - 42512 + 4*b**3 + 0*b**2 + 21260 + 21252.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 445839092*n**4 - 1158*n + 61258 wrt n?\nAnswer: 5350069104*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 2:52 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -720 divided by -66.\nAnswer: 120\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tft when three letters picked without replacement from {a: 4, x: 1, f: 3, y: 3, u: 2, t: 2}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-26885)\/(-30))\/(8\/33) + 0. Let h = 3695 - g. Find the common denominator of h and 77\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-10178.\nAnswer: -40712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*i + 2*i - 2, u - 4*i = 21. Suppose -2*d + u = -d. Suppose d*h + r - 14 = 6, 3*h + 5 = -4*r. Put h, 0, -3 in decreasing order.\nAnswer: h, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 - 8*p**3 + 0*p**2)*(2 - 1 - 3) + (-6*p**2 - 4*p**2 + 5*p**2)*(3 - p - 3).\nAnswer: 21*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1161967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(108) + 2 - (1 + sqrt(300)))*6)**2.\nAnswer: -2592*sqrt(3) + 15876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 - 430*g - 24055. Determine s(-46).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 138491095\/64 - 2163969. Let v = 46 + l. What is the common denominator of v and 11\/8?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 13 = -4. Suppose -16*n + r*n = -12859. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 281.1 and -0.2.\nAnswer: -56.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 218640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -13. Let m = w - 1.23. Let t = m + 0.230089. What is t rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*r = -123*r - 307. List the prime factors of r.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*5*(sqrt(243) + sqrt(243) + 0 + -1)*3)**2.\nAnswer: -32400*sqrt(3) + 875700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**3\/2 + n**2\/2 - 9*n + 9. What is p(-5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 - 10. Let m = s - -49. Let h be (4 + 28\/(-8))*m. Sort -5, h, -3, 9 in descending order.\nAnswer: 9, -3, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j + 0*j - j**5 + (-2 - 5370*j + 10732*j + 302*j**2 - 5361*j)*(2*j - 2*j**3 - 2*j).\nAnswer: -605*j**5 - 2*j**4 + 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12213 (base 7) in base 14?\nAnswer: -1243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*4\/24*0. Suppose v = 5*x - 16 + 6. Suppose 0 = d - x*d + 32. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*l + 1, -20*n - 2*l = -18*n - 8. Suppose 1 = -3*v - 5*g - 0*g, 5*g = n*v - 25. Solve v*o = -4*o - 28 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -8. Sort j, -5, -3, -2.\nAnswer: -5, -3, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 3 - 19 + 55*q + 11 + 4.\nAnswer: 55*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 389 = 887. Let b = 457 + v. Is b at least as big as 139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 10 + 4 - 23 - 324*r + 5 as n*r + d and give n.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 17*v + 156. Is v\/8 + 6605\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 9*b**2 + 8*b - 6. What is k(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 481.4507ml in litres?\nAnswer: 0.4814507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 19 = s, -s + 0 = o + 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 163 (b) -3 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4 - 2*o - 5*o**2 + 4*o**2 + 0*o**2. Determine x(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*(sqrt(475) + 2 + sqrt(475)))**2.\nAnswer: 36000*sqrt(19) + 1713600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -5\/2*j**2 - 7\/150*j**5 - 1\/30*j**4 + 0*j**3 + 0*j - 19. Let l(h) be the second derivative of c(h). Factor l(s).\nAnswer: -2*s*(7*s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4194460 divided by 523?\nAnswer: -8020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2312177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 2)\/((-4)\/4). Let w be (-3)\/(-21)*-2*1. Which is the nearest to q? (a) w (b) 0.3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -32*u**2 - 729*u + 12203. Determine p(-34).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 6*i + i)*(0 - 1 + 4).\nAnswer: -21*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 6*x + 8. Suppose -6*c = -2*c - 76. Suppose -2*o = -c + 7. Let a be w(o). Which is greater: 7 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -3 (b) 11 (c) -1.083\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/9, 9, 1125 in decreasing order.\nAnswer: 1125, 9, 3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/9*f**2 + 0*f + 2\/9*f**3.\nAnswer: 2*f**2*(f - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -i - 22, 0 = -5*i + 462454 - 462459 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*k - 63*k + 619 - 8721 = 348 for k.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -6\/5 (b) 0 (c) -2\/13 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 983950?\nAnswer: -98394b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3538)\/174 - -20)\/((-1)\/(-2)*(-6)\/(-747))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 121\/33 + 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvrrrmvtttmrr. Give prob of sequence mrt.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {s: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76383, 153025, 230195, 308157, 387175, 467513?\nAnswer: 549435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7505.113 decades to millennia.\nAnswer: 75.05113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7054358281?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/10 (b) -0.5 (c) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 9 = -4*u. Suppose 0*l + 6 = f - 4*l, -u*f - l = -9. Let a be -1*f*25\/(-10). Solve -2*k - 14 = -2*j - 2, 3*k - a*j = -22 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 10)*(-2)\/(-3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + v**2 - v - 4. Let s(i) = i - 4. Let g be s(4). Let w be h(g). Let b = 3 + -3.2. What is the closest to 0 in 0.4, w, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500171 is divided by 2908.\nAnswer: 2903","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*g + g, 2*j = g - 9. Let n = -4909 + 4886. Sort j, 5, n in increasing order.\nAnswer: n, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 535 = -620. Suppose 0 = 101*i - h*i. Suppose 0 = -i*o - 2*o + 132. Is 22 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b8b (base 15) in base 11?\nAnswer: -4548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8154, 32553, 73224, 130173, 203406, 292929?\nAnswer: 398748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - 23. Let g be f + (0 - -1) + -1. Suppose -4*q = 12, g = 3*v - 5*v - q + 327. Calculate the highest common divisor of v and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 552*d**2 - 1075*d**2 + 560*d**2 to the form f*d + g + t*d**2 and give t.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 560 = 21*b - b. Calculate the remainder when 795 is divided by b.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11499 is divided by 2872.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -v + 5*n, -5*v - 924 = 4*n - 931 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33212 rounded to two dps?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(133)*-1)\/(3*sqrt(7)*-2).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-21)\/(-9))\/7)\/((-34)\/(-544))*(-39)\/(-4)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 800 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*b = -u + 224, -4*b = -4. Calculate the common denominator of -2 + u\/12 - -2 and 11\/2*(-108)\/(-48).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*w - 4*w - 2 - w**4 + 2*w**3 + 0*w**4 + 1 to q + u*w**2 + r*w**3 + c*w + h*w**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*h + 2*h = 28, -3*u = -h + 14. Let l(c) be the second derivative of c**4\/12 + 5*c**3\/6 - 3*c**2\/2 + 58*c. What is l(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-5) - (-1120)\/200. Solve -4*s + x = -9*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491185 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -26*r**2 + 9*r - 20. Let x(i) = -24*i**2 + 7*i - 18. Give 3*h(o) - 4*x(o).\nAnswer: 18*o**2 - o + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6876.\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 262 divided by -78991?\nAnswer: -262\/78991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 1:04 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1384 = -47*x - 68. Solve -42*u = -x*u - 70 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -848 * -0.01\nAnswer: 8.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, q: 3, a: 1, f: 1, v: 2}. What is prob of picking 2 f and 2 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**3 + 12045*k - 5770*k - 6275*k.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -2 + (5 - -9 - 7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9 and -1723.831728?\nAnswer: 1732.831728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 10*x + 4*x - 4 to s*x + n and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (280 - 412 - 382)*(2*o + o - 2*o) - o + 2*o - 3*o.\nAnswer: -516*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(14)\/sqrt(7) - sqrt(2)) + (1*sqrt(20))\/sqrt(10))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 357*k + 2507. Let f be y(-7). Sort -4, -9, f, 4.\nAnswer: -9, -4, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130095 and 2470035?\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 3:09 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 18, -46, -264, -714, -1474, -2622, -4236?\n\"Answer: -13*t**3 + t**2 + 24*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 36*d - 18. Let q be h(3). Suppose 0 = 8*m + m - q. What is the greatest common divisor of m and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - (44 - (9 + -22)) - -11?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11180943?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4249*u**2. Let g(z) = 2*z**2. Determine g(y(l)).\nAnswer: 36108002*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11843295 divided by 4\nAnswer: 11843295\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 3, -1, -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/3 in -0.05, 4, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/35 and (30\/(-380))\/(18\/(-138)).\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 0.1, 1\/5, 6\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from tfmqqtjtqqtmm?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6, 0, 16, 48, 102?\n\"Answer: t**3 - t**2 + 2*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k. Let f(d) = 4*d. Let x be 8\/(-44) - ((-192)\/(-33) + 0). Let z(r) = -r. Let y(i) = x*z(i) - 2*f(i). Determine h(y(a)).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v + 94 = -26 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*(q\/(q*q**(-4\/9)))\/q)\/q**(1\/21) assuming q is positive.\nAnswer: q**(88\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.34 in 4, 164, 116, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, i: 4, h: 5, f: 1, k: 2}. Give prob of picking 2 i.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 5 - (11 - 8 - 8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-6)\/l*l\/l**(2\/17))**(-4\/27)*(l**2)**(1\/38)*(l**2)**(3\/8) assuming l is positive.\nAnswer: l**(18149\/11628)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**4\/24 - p**3\/6 + 31*p**2. Give z(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*j - 41*j = 3421. Let f = j + 315. Find w such that -12\/23*w**3 - 2\/23*w**5 - 2\/23*w + 0 + 8\/23*w**f + 8\/23*w**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1008617475 - 4.17808?\nAnswer: -1008617479.17808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m + 279 = 545. Which is the fourth smallest value? (a) -2\/3 (b) m (c) -1\/2 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(19)*-2 + -2)*6 + ((sqrt(76) - (sqrt(76) - -6*(sqrt(76)*1 + sqrt(76))))\/sqrt(4)*1)**2.\nAnswer: 72*sqrt(19) + 2808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -456 + 461. What is the third smallest value in -13, 2\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13246221?\nAnswer: 3, 4415407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l + 420904*l**2 + 3*l + 537112*l**2 - 87180*l**2 + 4. Let f be a(-5). Let d = f + -38670879. What is d rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87248*o - 92581*o + 31781*o - 237997*o.\nAnswer: -386045*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/(-56))\/((-3)\/21*1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**3 - x - 1. Let u be (-60)\/(-50)*(-5)\/2 + 2. What is l(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 115 = -2*o, 3*m + 3*o = -o + 345. Suppose -4*i + m - 14 = l, i = 5*l - 505. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g. Let o be d(3). Suppose s - a = -6*a + 27, o*s + 4 = 2*a. Differentiate -3*f**s - f**2 + 1 + 2*f**2 with respect to f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 607 = 3*t + 121. Suppose 2*v = v + t. Calculate the greatest common divisor of 18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 0*c - 10. Suppose c*t = -k + 129, 3*k - 1 = 11. Let l = 119 + -22. Calculate the remainder when l is divided by t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 480798444 to the nearest integer?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 148*f + 2 - 148*f + 5*f**2 + (f - 2*f + 2*f)*(3 - f - 3).\nAnswer: 4*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2340921, 2340922, 2340923, 2340924?\n\"Answer: w + 2340920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -650780 by 65.\nAnswer: -10012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.41 + -0.19. Let h = i - 0.4. Put 3, h, 0 in ascending order.\nAnswer: h, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 87 + 38 = 4*o, -w + 110 = o. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(-4\/3))\/((m\/m**(1\/2))\/m))\/(m**(-1\/6)\/(((m*(m\/m**(4\/11))\/m)\/m)\/m)) assuming m is positive.\nAnswer: m**(-1\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - w - 2. Let g be j(2). Let v(n) = 4*n - 1. Let m be v(1). Let l(s) = -7 - 4*s + m + g. Let k(u) = -2*u**2. Give k(l(f)).\nAnswer: -32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -7*w**6\/1200 + 19*w**5\/100 + 29*w**4\/80 - 17*w**3\/30 - 20*w**2 - 2*w. Let z(m) = 0. Calculate m.\nAnswer: -1, 2\/7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223409665777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**2 + 3*h**2 - 2*h**2 + h**2 - 14*h**3.\nAnswer: -14*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29985*a - 29980*a = -4*c - 24, -3*a = -4*c + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**27*g*g**(20\/9)*g*g\/g**(-27)*g*g\/g**26 assuming g is positive.\nAnswer: g**(317\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3960339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1573)*-3 - (sqrt(1573) + -3 + 0)) + (-4*(-1 + 2*sqrt(1872) + 0))**2.\nAnswer: -812*sqrt(13) + 119824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -46*t + 0*t + 24*t + 103*t**2 + 22*t. Let l(q) = 3*q - 2*q + 0*q. Determine c(l(n)).\nAnswer: 103*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.90996576 + -12.91. What is d rounded to 6 dps?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-2)*55\/440*50\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*o - 22*o - 84. Put 12, 2, o, 0 in ascending order.\nAnswer: o, 0, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4532, 9072, 13600, 18110, 22596, 27052?\nAnswer: 31472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 317342033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 24?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyuy. What is prob of picking 2 y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*s - 212 + 145 = 0, -4*r = -2*s - 70. Solve r*v + m = 19*v - 9, -2*v + 4*m = -28 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 6*a - 2. Let t be o(5). Let k = 31 - t. What is the remainder when 81 is divided by k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-5 + (-2 - -5))) + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1736 or 300391\/173?\nAnswer: 300391\/173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.5 (b) 0.5 (c) 0.692 (d) -16 (e) 4 (f) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2 = c, 28 - 8 = 5*c + 5*z. Sort c, -2, 56, -3 in ascending order.\nAnswer: -3, -2, c, 56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -60 - 10. Let z = b + 18. Solve p = -3*i - 5, z*i + 5*p = -10 - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 3:11 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -45*m**2 - 20*m. Let v(t) = -11*t**2 - 5*t. Let d(w) = -2*r(w) + 9*v(w). Suppose -4*i - i = -15. Let s(b) = -5*b**2 - 3*b. Calculate i*d(y) - 5*s(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5*j**2 - 2*j**2 - 2 + 4*j**3 - 2*j**3 - j**3 + 2*j. Let n be c(7). What is the highest common factor of n and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of g**2\/2 - g - 37. Let b be f(-8). Let w be -2290003 + b*(-3)\/9. Round w to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -901, 2, -23976, -10 in ascending order.\nAnswer: -23976, -901, -10, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-856)\/(-340) + 60\/(-25). Sort c, 40\/7, 0.4, 3, -0.9 in decreasing order.\nAnswer: 40\/7, 3, 0.4, c, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (90 - 69 - 269)*(-2 + 1 + 3 + 2*t**3 + (-1112 - 51*t + 1112)*(-t**2 - 4 + 1 + 1)) as h*t + j*t**3 + s*t**2 + a and give h.\nAnswer: -25296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 232354 greater than 243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/20292 and -10\/1121133.\nAnswer: 4484532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 338931307.\nAnswer: 11, 13, 2370149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 190049?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 4 (c) 3 (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 152\/18448873 or 1?\nAnswer: 152\/18448873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)*-2*6)\/(sqrt(84)\/(sqrt(60)\/sqrt(5))).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1391 (base 14) to base 3.\nAnswer: -11202010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 709241 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -755*s + 18 - 765*s + 1522*s. Let p(u) be the third derivative of u**4\/24 + 87*u**2. Calculate p(l(a)).\nAnswer: 2*a + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/94 and -119\/6.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q + 7 + 29 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -6 - 4. Let r(z) be the second derivative of z**5\/20 - z**4\/12 - z**3\/6 + z**2\/2 - 21*z. Let l(f) = f**3 - 5*f**2 - 5*f + 5. Give g*r(y) + l(y).\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5989346.\nAnswer: 2, 11, 61, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - -28) + -3 + 0 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 599985?\nAnswer: 3, 5, 67, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/3 + 3\/(-9). Let x be -3*(-1 + u - 0). Factor 26*k - x + 4*k**2 - 22*k - 2*k**2.\nAnswer: 2*(k - 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 9, -1.7, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 5*l = 2, -2*n - 22 = 3*l - 26 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -684 + -921.3977178.\nAnswer: -1605.3977178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c + 22. Let s be w(13). Let d be 2*(-1)\/2 + 5. Put d, s, 0 in descending order.\nAnswer: d, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -250691 divided by 59\nAnswer: -4249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 198*d**2 - 4643*d + 4446.\nAnswer: -(d - 171)*(d - 26)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (0 + (2 - 6)). Let n = 57 - 25. Suppose -3*a + 2*f - f = -n, h*a - 2*f = 42. What is the remainder when 41 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, s: 5, f: 4}. Give prob of picking 2 f.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -107 + 101. Suppose -n + 0 = 5*r + q, 5*r + 5 = 0. Calculate the least common multiple of n and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + s = 17, -3*s + 7*s - 18 = 2*z. Let t be -1 - 2\/(2\/z). Solve 28 = -t*n - o + 9, -4*n = -2*o + 22 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4507013?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -356*h + 113*h + 26273 + 111*h - 26273 + 122*h.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 4*w - 5*c - 94, 2*c + 2 = 0. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 96 = -6*c. Calculate the remainder when c is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1918 - -130. Is l a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103201 - -13131021?\nAnswer: 13021220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -0.05, -3, 0, 5.\nAnswer: -3, -0.05, 0, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2\/17 - 930*z\/17 - 9500\/17 = 0. What is z?\nAnswer: -10, 475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 - 18. Calculate the highest common factor of k and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47439 divided by -345\nAnswer: 15813\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -867735, -867734, -867733, -867732, -867731?\nAnswer: -867730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 579630546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 131139.63797 rounded to the nearest integer?\nAnswer: 131140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -3. Which is the nearest to d? (a) -1 (b) -2\/7 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71992.\nAnswer: 2, 8999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -0.96, -0.06, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73*p + 930*p**4 - 463*p**4 - 14*p - 474*p**4)*(-4*p + 0*p + 0*p).\nAnswer: 28*p**5 + 348*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 4*t**2 + 2*t - 3. Let p be r(-3). Let w be (-4)\/12*(p - -6). Let n be (-4)\/6*(0 + 75\/w). Calculate the highest common factor of n and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/13)*i*i*i)\/(i\/i**(-16\/5)))\/(i\/(i\/i**17*i)*i**(4\/13)) assuming i is positive.\nAnswer: i**(-1133\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -16.09 (c) -1228\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 935105 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19015*z + 19015*z - 28*z**3.\nAnswer: -28*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*2*-5 - -6*(1*sqrt(76) - sqrt(76)))\/(((1*sqrt(40))\/sqrt(2))\/sqrt(5)))**2.\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31\/79 + -4150\/711. Find the common denominator of -41\/560 and d.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -53, -46, -33, -14, 11?\n\"Answer: 3*y**2 - 2*y - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - -30. What is the highest common divisor of 168 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - ((sqrt(320) - sqrt(320)*5) + 3)) + 3 + (-4 + sqrt(320) + sqrt(320)*-2 - (sqrt(320) + 2)*4) + -1)**2.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 8:29 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18\/27 - (225556\/(-12) + 4 - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3*-2*sqrt(204)*6)\/(sqrt(1728) + sqrt(1728)*-2 - sqrt(48)\/sqrt(4)*-3).\nAnswer: -20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13363 (base 9) to base 15.\nAnswer: -2a33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12432.31 rounded to the nearest ten?\nAnswer: 12430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 222, 1740, 5862, 13890, 27126, 46872, 74430, 111102?\n\"Answer: 217*l**3 - l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2722 is divided by 433.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16044.\nAnswer: 2, 3, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9512)\/(-12958))\/4 + (-10)\/55. Let c = m + -34757\/3534. Calculate the common denominator of (-1)\/7 + 1 + 2 and c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 11.16. Let w = x - 3.66. Let n = 0.5 - w. What is the smallest value in 5, 0.6, n?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.904 - -13.83. Let a = 0.0029 - 0.0769. Let b = a - d. Which is greater: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a factor of 166290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 - 13. Let k = u - 21. Suppose -23 - 21 = -2*t - 5*y, -19 = -t - y. Calculate the remainder when t is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-5) - (-376)\/(-1040). Let s be ((-2)\/(-6))\/(27\/(-324)). Sort v, -1, s, 0 in ascending order.\nAnswer: s, -1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4830180714?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2275 - 2274.9287. What is r rounded to 3 decimal places?\nAnswer: 0.071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -y**3\/6 - 13*y**2 - 348*y - 2. Let b(a) = -8*a. Determine b(l(d)).\nAnswer: 8*d + 208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - i**3 + 6*i**3 - 12.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -686.\nAnswer: -4116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 9*r**2 + r. Let m be w(-1). Let l(n) = -n**2 + 8*n + 1. Calculate l(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 75?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3518.1741 - 3518. Let s = y + -172.3741. Let c = 191 + s. Round c to 0 decimal places.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-60) - (-2)\/3. Let j be 22\/26 + (-4)\/(-26). Let o be 4\/6 - j\/3. What is the second biggest value in o, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30904 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4756905157 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i + 3, -10*b + 3*i = -11*b + 8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*s + 12 + 12 = 0, 2*s = 4*t + 40. Let y be (-30)\/8*(-32)\/t. Let d = y + 19. Calculate the remainder when 34 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48440 (base 10) to base 3\nAnswer: -2110110002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6\/223 + -7841\/1338. Calculate the common denominator of s and -59\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000217 rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m + 3. Let q be i(-2). Let f be ((-1016)\/2540)\/(1*(-14)\/10). Let h = 3.01 - 0.01. What is the fourth smallest value in h, q, f, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2574 divided by 2020?\nAnswer: 1287\/1010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 4:32 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1218116 and 3486332?\nAnswer: 101103628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 1, -9, -29, -59, -99, -149?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5810227 a multiple of 756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19908125789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5775 and 407.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**5\/9 - 730*i**4\/9 + 5192*i**3\/9 - 5984*i**2\/9 - 3968*i\/3 = 0. Calculate i.\nAnswer: -372, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - 78 + 14 + 693.\nAnswer: -i + 629","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 289 (b) -1 (c) -24 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.131 less than 7198?\nAnswer: 7198.131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 90, 0.3, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.17 and 2.91?\nAnswer: 0.4947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 4 + -3 + 3)**2.\nAnswer: 72*sqrt(3) + 259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 2 - (-2 - -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 113 = 5*q, q - 94 = -2*x + 31. What is the second derivative of 0*b**2 - 2*b + 4 - x*b**3 + 2*b**2 - 2*b**2 wrt b?\nAnswer: -384*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2913*x**4 + 235*x**2 + 6016847.\nAnswer: 11652*x**3 + 470*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1528282.\nAnswer: 2, 7, 173, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (3 - (-58)\/(-14)). Let b be 4\/12 - (-19)\/(-63). Let j = x + b. Put 0.5, -2\/11, j in ascending order.\nAnswer: -2\/11, j, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3510 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4079894 to the nearest integer?\nAnswer: 2020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -0*g + 4*g. Suppose 4*m = -3*p - 81, -3*p + 38 = 3*m + 95. Let b = m + 38. What is the remainder when g is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(3\/4))\/(h\/(h\/(h**(3\/7)\/h)*h)))**(-20\/11))**(-1\/7) assuming h is positive.\nAnswer: h**(465\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000023535161 rounded to seven dps?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2607\/115690 + -2\/2515. Which is the third biggest value? (a) -1\/4 (b) -2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 20, 5*c - 206135 = 9*o - 14*o. List the prime factors of o.\nAnswer: 2, 3, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2211 (base 5) in base 15?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 59 + 46 = -n, -5 = 5*n + 4*i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of l**4\/10 + l**3 + 18*l**2\/5 - 1310*l. Factor a(n).\nAnswer: 6*(n + 2)*(n + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 - 2 = 2*j. Calculate the highest common divisor of 8 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 8:17 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -5.1 and -0.226.\nAnswer: -5.326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -55, -157, -351, -667, -1135?\nAnswer: -1785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40169116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -442300443?\nAnswer: 442301001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-28))\/((-28)\/(-32))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-14)\/(-20)*84\/(-196).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srr when three letters picked without replacement from sqqsrrqsrsrrrq?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 2136.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13654, -13637, -13620, -13603?\n\"Answer: 17*a - 13671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 220 - 209. Let b be (-46)\/(-2) + (f - 16). Solve 5*u = -3 + b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1320 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 5:26 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 6:27 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/14)\/((-2)\/(-46)). What is the closest to -2\/13 in v, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/10*((-2)\/12)\/((-36)\/576). Solve 2*o + 12 = c*i, i + 4 = -78*o + 75*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 3.8. Let u = -22 - -26. Suppose -2*n + 4 = -u*n. Which is the closest to -1\/3? (a) g (b) n (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 19*q. Let g(o) = 4*o**2 - 12*o**2 - o + 394 - 394. What is l(g(z))?\nAnswer: -152*z**2 - 19*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 37, 165, 3.\nAnswer: -5, 3, 37, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3\/8 + 33*x**2\/8 + 57*x\/8 + 27\/8.\nAnswer: 3*(x + 1)**2*(x + 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 94 + (6 - (4 - -1)) - (29 - 46)\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 123 and 79581.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a**3 - 16*a**2 + 119*a - 17. Calculate u(5).\nAnswer: 678","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3*p**4 + 30*p**3 + 63*p**2 - 12*p - 84 = 0.\nAnswer: -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 31, -12, -55?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is bb988 - -4?\nAnswer: bb98c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-20)\/24 - -1)*(-1 + -7). Which is the second biggest value? (a) 0.1 (b) q (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*u - 86*u + 9 + 52*u + 52.\nAnswer: u + 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z - 18. Let v(j) = -j**2 - 46*j - 205. Let t be v(-41). Suppose 5*n + 35 = i, t*n + n = 3*i - 21. What is m(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a - 16. Let k(l) = -2. Let x(u) = 40*k(u) - 5*w(u). Let h(y) be the third derivative of -y**4\/8 - 30*y**2. Determine h(x(o)).\nAnswer: 30*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k**4\/4 + 4*k**3\/3 - 2*k**2 + 3*k + 3. Let n be a(2). Let y = -74 - -84. Solve -g + y = -n*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -52*j + 16. Let r(h) be the first derivative of h**2\/2 + 627. Give n(r(i)).\nAnswer: -52*i + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/((y**(-1\/2)*y)\/y)))**38*(((y*y**1)\/y)\/y)**(-43))**38 assuming y is positive.\nAnswer: y**(-722)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1994421 divided by -1?\nAnswer: 1994421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 524 = -5*q - 4*m, 4*m = -3*q + 836. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -59846 and 0.1?\nAnswer: -5984.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13039 - 3945 = -564*w - 64 for w.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 38 = -0*p. What is the least common multiple of (2*-1 - -2) + 2 and p\/4 - 9\/(-36)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 3:46 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2567?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a microsecond in nanoseconds?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 2*w - 60, -8*t = -2*w - 4*t + 60. Let u = 0 - w. What is the lowest common multiple of 6 and 3*u*(-6)\/27?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of q**3 + q**2\/2 + 6*q - 13. Determine i(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 7*j - 10. Let y be b(2). Suppose -a + x = -y*x - 1586, a = 3*x + 1576. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54331*f**4*z**2 - 2*f**4*z - 7*f**3 + 3*f**2*z**2 - 65*f**2*z + 2*f**2 - 4*f*z**2 + 3*z**2 + 3 wrt f.\nAnswer: -1303944*f*z**2 - 48*f*z - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 > -1723?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + (sqrt(396) + 1*sqrt(396) + sqrt(396))\/sqrt(12) - (1*sqrt(165))\/sqrt(5))\/(sqrt(48)\/sqrt(4)*-2).\nAnswer: -3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3526*o**2 + 2*o + 3526*o**2 + 2*o**3 to the form u*o**3 + h + i*o**2 + z*o and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*(-6*(0 + 5*sqrt(637)*6))**2*4.\nAnswer: 412775995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (9460\/4257)\/(-1 - 1\/(-3))\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*i - 8*i + 8*i in the form v + g*i and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 2)*(-22 - 222*a + 111*a + 112*a).\nAnswer: 2*a - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 + -54. Let k(f) = -f**2 - 3*f + 2. Let p be k(o). What is the remainder when -13*1\/(2*p\/4) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 136*b - 132*b - 2 + 2 in the form i*b + y and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 719668?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 901849 divided by -901849.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m + 0*m - 4 - 4*m)*(-4*m**2 + 4*m**2 + 2*m**2).\nAnswer: 6*m**3 - 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (i + 3*i - 7*i)*(3 - 3 + 2)*(4*i - 2*i - 7*i)*(1 + 3 - 6) as o*i + m + r*i**2 and give r.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eight thirds of a week?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = v - 5*d - 84, 0 = 4*v + 2*d - 784. Does 33 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*h - 8*h + 22*h + (-1 + 2 - 2)*(-3*h + 4*h - 3*h) to p*h + o and give p.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**3*o*r**3 - 2*a**3*o - 5*a**3*r - 3*a**2*o*r**3 + 19*o*r**3 - 113*o*r**2 wrt r?\nAnswer: 6*a**3*o - 18*a**2*o + 114*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6\/11, 1539, -0.02, -2\/9, -0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/11)*c**(4\/3))\/(c**2\/c*c**10) assuming c is positive.\nAnswer: c**(-328\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8.9 in 3\/11, -1\/8, -187?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -24766, 3 in descending order.\nAnswer: 3, -4, -24766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39295983 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0785726 millilitres to litres.\nAnswer: 0.0000785726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 12:22 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 7:55 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*p + 4 = 236*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + -10. Let d = 8 + y. What is the units digit of -1 - (d\/1 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -110420 to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16570224 and 12?\nAnswer: 16570224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 109 + -102. Suppose -v*w + 16 = w. Suppose w*q = -5*q + 742. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 4, -12, -61, -4, 2 in descending order.\nAnswer: 4, 2, -4, -12, -13, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47\/7? (a) -2 (b) -25 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 1146678\nAnswer: 4\/573339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 16)*(3*t**2 - 4*t**2 - t**2) + (2*t + t**2 - 2*t)*(-2 + 0 + 0)*(5 + 5 - 5) as o*t + x*t**2 + u and give x.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 477\/58636?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 827923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 58 + 16. Let s = k + 11. Does 16 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/472 - -931\/6136. What is the smallest value in 0.1, q, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291\/(-2)*8\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*a - 5*w + 25, 2*a - 2*w + 10 = 0. Suppose -4*o + 6*o - 20 = a. Is -1 - (-8)\/o - (-56088)\/40 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2*s*s**(-1\/3)*(s*s**1)\/s*s**(-1))\/(((s*s**0*s)\/s)\/s**8)**(-32) assuming s is positive.\nAnswer: s**(-664\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2 + 4*p + 6. Let d be b(3). Suppose d = 3*r - 19 - 5. Factor r*u**2 - 6*u**2 - u - 5*u.\nAnswer: 2*u*(u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, j: 2, k: 6, a: 1, f: 5}. Give prob of sequence ak.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -36655 divided by 36655?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6888)\/(-615) + (3\/9)\/((-15)\/9).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 + 0)*(59*b - 8*b - 9*b) as s + v*b and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*a + 40107 + 582593. Suppose 4781 = k + s + s, 5*k + s = a. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/78 and 43\/3381.\nAnswer: 87906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -9*m**2 - 240*m - 86. Let r be g(-26). Let w = -231 + 343. Calculate the highest common divisor of r and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4597512.\nAnswer: 2, 3, 191563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 0 (c) -1258 (d) -70 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 26. Let v(t) = 9*t**2 - 8*t + 26. Is v(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -6. Suppose -15*z = -61 + 376. Let w = t - z. Solve -3*h - 5*x - 7 = 0, 5*x + w + 6 = -5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2. Let a(v) be the first derivative of -13*v**3\/3 - 11*v - 7. Let g(z) be the first derivative of a(z). Calculate c(g(m)).\nAnswer: -676*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 35 = -0*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2417287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence utzu when four letters picked without replacement from {z: 6, u: 7, t: 6}.\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 32. Let w(j) = j**2 + j. Let p(m) = -21*m**2 - 12*m. Let r(v) = a*w(v) + p(v). What is the second derivative of r(g) wrt g?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 39113622?\nAnswer: -5\/39113622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319*n - 1 = 328*n - 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 10*p**2 + 810*p + 3076. What is f(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1232590461?\nAnswer: 3, 61, 6735467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 349 and 0.051.\nAnswer: 17.799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66 + -67. Let z = -234 - -235. What is the nearest to w in z, 1\/47, 3\/5?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8*7\/84 - 148\/(-6). Solve 4*f = 10*f - j for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6728 is divided by 837?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/18 - 24\/(-1512)*1169. Suppose 2*v = v. Suppose y - 6*y - 13 = -4*f, -5*y - 7 = -f. Sort v, x, f.\nAnswer: v, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2101 - 0?\nAnswer: 2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3393222241?\nAnswer: 5347, 634603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*s - 77868 = -3*x - 139*s, -5*x - 2*s + 129782 = 0. Is 19 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21017\/78 + 808\/3. Sort m, -2\/11, -2, 1\/3 in decreasing order.\nAnswer: 1\/3, m, -2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**2\/5 + 9*r\/5 - 12\/5 = 0. What is r?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82 + 82. Let v(o) be the second derivative of 0 + 0*o**2 + y*o**3 - 1\/4*o**5 + 2*o + 1\/3*o**4. Find the third derivative of v(h) wrt h.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.8 times -64?\nAnswer: -1075.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3184 - 3192 = 0. Solve 2*r + 4 = 3*p, 0 = 5*r - 5*p + 3 + c for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 191?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11862232*d**5 - 5*d**4 - 3*d - 4837300 wrt d?\nAnswer: -237244640*d**3 - 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + d = -9, 3362*d - 3361*d = -2*h + 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 204 = -6*n, -22*n - 220 = 3*z + 96 for z.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 139*k**8\/336 + 65*k**4 - 1073*k**2. Find the second derivative of a(l) wrt l.\nAnswer: 2780*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3b1cb40 + 2?\nAnswer: 3b1cb42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -116 - -229. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -61844 from 1519988.\nAnswer: 1581832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 346 - 198. Calculate the common denominator of (-90)\/(-60)*u\/9 and 73\/237.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.074 - -0.074. Let c = 10474\/7 - 1498. Is c greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23629 is divided by 197?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*328.\nAnswer: -1640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 11*o**2. Let m(x) = -8*x**2. Determine j(m(q)).\nAnswer: 704*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -114 + -68 + 292 + -120\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrkrrrkrrrr. Give prob of picking 2 k.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 j when three letters picked without replacement from jwwwjwjwwwwjjgfjjj.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e + e?\nAnswer: 3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -5*p - 53, -15*i - 26*i + 35*i = p + 21 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 8*o + 0*o)*(-3 + 3 - 1) - 2*o - 4*o - o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4 + 3 + b + b. Let r(h) = 16*h + 5*h + 9*h - 38*h - 6 + 6*h. What is 6*f(x) + 7*r(x)?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3 + (-5 + sqrt(7) + sqrt(21)\/sqrt(3) + 4 - (sqrt(343) + (sqrt(343) + -1 + 4)**2)) + 1.\nAnswer: -344 - 47*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 210 by 14.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**3 + 10076*p**2 - 8314070*p + 16587852 = 0 for p.\nAnswer: 2, 1037, 3999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22.2778 - 0.0122. Let j = g + 22. Let u = j - 0.11. What is the nearest to -1 in -5, 0.1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1412 and 93?\nAnswer: 13.1316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -37758.\nAnswer: -1\/37758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-5 - -2) + 0. Let l = t - -2. What are the prime factors of (l - (-4)\/6)*-21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 69*r**2 - 8*r**2 - 5*r**2 - 7 - 2600*r + 10 + 2597*r. Calculate t(1).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-24)*(-16)\/(-12). Let a = -0.3 + 0.4. Which is greater: a or j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 - -43. Suppose 3*c - x = -0*c. Factor 115*g**2 + 21 + 100*g + c*g**3 - g**3 - 1.\nAnswer: 5*(g + 1)*(g + 2)*(7*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -1 + 22*c**2 + c - 25*c**2 + 2*c**3 + 1. Let s be w(1). Solve 0 = -s*b - 4*b - 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.8 - 0.2. Let f = 11749 - 11748.7. Which is the second biggest value? (a) f (b) z (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -302, -453, -652, -893, -1170?\n\"Answer: a**3 - 30*a**2 - 68*a - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4473, -9040, -13801, -18852, -24289, -30208, -36705, -43876?\nAnswer: -51817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/8)*y**13)\/((y\/(y**(-7\/4)\/y*y)*y)\/(y\/y**(-7))) assuming y is positive.\nAnswer: y**(139\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3506340 divided by 701268\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 16) to base 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -243.1 less than -0.06?\nAnswer: 243.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*s + 13 = 57 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -2\/19, -3, -1, 1.5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 21. Suppose -x*l + 89 = -114. Suppose -4*q - f + 9 = -0*f, -5*f = 4*q - l. Which is greater: 1\/35 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3306)\/2204*184\/(-84)\nAnswer: 23\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 91 - 2 - 10 + 16*s**4 + (-4*s**2 - s**2 + 4*s**2)*(2*s**2 - 3*s**2 + 0*s**2) to the form d + w*s**4 + c*s + q*s**3 + u*s**2 and give d.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -10\/3*m**3 + 10 - 5\/12*m**4 + 23*m - 10*m**2. Let i(q) be the first derivative of d(q). Factor i(a).\nAnswer: -5*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c3b - -cf4?\nAnswer: 192f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-408)\/(-16))\/17*((-1081)\/(-94))\/(3\/(-4)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 13*y**2. Suppose -25*f - 6 = -22*f + 3*a, 0 = -5*f - 4*a - 6. Let v(s) = -4*s**2 - 2*s**2 - 5*s**f + 2*s**2 + 4*s**2. Determine h(v(k)).\nAnswer: 325*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3230846864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 4. Let d(w) = -w**2 - 1. Let a be (2 - 6)\/(-4) + (-15)\/(-3). Let h(x) = a*d(x) + 3*y(x). What is the first derivative of h(p) wrt p?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3688*-62*(-3)\/(-8). Let p = 1112168 + -2297914. Let i = w - p. What is i rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2074*l - 2074*l - 253*l**2 + 1.\nAnswer: -253*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.48 - -0.02. What is the biggest value in -3, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 - 4011935 + 4011935 - 9*v**2.\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12147 divided by -5?\nAnswer: 12147\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b. Let i(w) = -266*w + 1. What is i(t(l))?\nAnswer: -266*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -13022?\nAnswer: -13033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 3:36 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + sqrt(119)*-1*3)*6*3)\/(3*(1*sqrt(14))\/sqrt(2)*-3)*-4.\nAnswer: -16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 58*m**2 + 31442*m - 28259. Determine h(-543).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 134 = 18*y, -64*n + 34 = 5*y - 67*n - 7 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-7)*14\/4. Let t be (-99)\/(-90) + z\/(-4). Which is the closest to 1? (a) t (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 - 6)*(-1 + 2*z + 1) + z - 6*z + 3*z)*(-2 - 7 - 1 + 3 - 1 - 1 + (1 - 5 + 3)*(1 - 1 - 2))*(1 - 6 + 0 + 2*z**2 + z).\nAnswer: 252*z**3 + 126*z**2 - 630*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2. Let p(g) = -4*g**2 + 5*g - 5. Suppose 2*s - 1 = -11. Let b(a) = 6*a**2 + a + 6 - 7*a - a**2. Let y(h) = s*b(h) - 6*p(h). Give m(y(w)).\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**4 - 30*y**3 - 55*y**2 - 30*y.\nAnswer: -5*y*(y + 1)*(y + 2)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*o + 5, -5*o - v - 94 + 103 = 0. Solve o*z + 25 = -3*z - t, -10 = 2*z + 5*t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 51*(14\/(-21) + 1 + 0). Let f = 10 - 3. What is the third derivative of 7*p**2 - f*p**2 - w*p**6 - 11*p**2 wrt p?\nAnswer: -2040*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -15*p - 46. Let a(j) = -j**3 - j**2 + j - 7. Let s be a(0). What is the remainder when m(s) is divided by (30 - -1)\/(3 - 2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4\/3 - 13082*o**3\/3 + 21333350*o**2\/3 + 64353750*o = 0. What is o?\nAnswer: -9, 0, 3275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b - 8. Let k be a(17). Let n = k + -9. Differentiate -4*m + m + 24*m**2 + n + 3*m wrt m.\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68140000 rounded to the nearest one hundred thousand?\nAnswer: 68100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1071)\/5*144\/21. Let l = 1479 + m. What is the common denominator of l and (-1)\/1 - (-39)\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10799*d = -10830*d + 527 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18638?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18706 or 18711?\nAnswer: 18706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12525 and 42900?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**4\/4 + 13*f**3\/3 - 3*f**2\/2 + 12*f - 7. Is y(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2698 divided by -2\nAnswer: 1349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4 = 4*g, 5*g = g - 20. Suppose c*z = 3*l - 4355997, -5*l - 5445005 = -z + 6*z. What is z rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - q**2 + 4. Let d be k(0). Let n = d - 2. Find the second derivative of 3*g**5 + g**5 + n*g - 2*g**5 wrt g.\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*h - 10 + 2*h + 9)*(-10 + 13 + 6).\nAnswer: 108*h - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -61321732 or -61321731?\nAnswer: -61321731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**3 - 34*v**2 + 34*v**2 + (0*v**3 + v**3 + 0*v**3)*(0 + 3 + 0) + 0*v**2 + 1 + 2*v**3 + 0*v**2.\nAnswer: 6*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 17424010 (base 8) to base 7\nAnswer: 46424015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**5 + 36*v**4 + 112*v**3 + 144*v**2 + 64*v.\nAnswer: 4*v*(v + 1)*(v + 2)**2*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -p**2 - 14*p - 6. Let x be f(-7). Solve 2*w + w = x for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 783747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0*x + x + 121 = 0, 0 = -5*x - 25. Let o = 43 + z. Suppose 3*y = 2*m + 5, m = y - 5*y + o. Solve 4*v - y = 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 56862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2768 by -2534.\nAnswer: 1384\/1267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1302 + -1305. Suppose -u + 2*u = 50. What is the smallest common multiple of 48 and ((-64)\/t)\/(u\/75)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**2 - w + 1. Suppose -p - 2*a = 3, -2*p - 4*a = -p + 5. Let f(g) = g + 1. Give p*c(z) + 2*f(z).\nAnswer: 2*z**2 + 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 36, -0.5, 0.154938, -3?\nAnswer: 0.154938","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 13 = 1. Suppose 10 = i*a + g + 34, 0 = 4*a + 5*g + 8. Let x = -3 - a. Solve 1 - 9 = -x*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*m + 3808 = -62*m + 99*m for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7225702898*j**2 - 329867216*j - 3764768.\nAnswer: -2*(60107*j + 1372)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -442\/314667 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 719681.7 decades to months.\nAnswer: 86361804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57*c**2*i**3 + 577*c**2*i**2 + 5*c**2 - 11820*i**3 - 37*i**2 wrt i.\nAnswer: 342*c**2 - 70920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1414319*i*y**2 - i*y + 3*i + 32*y**2 - 45233 wrt i?\nAnswer: 1414319*y**2 - y + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 26*b - 252. Give y(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -13*d**4\/12 - 23*d**2\/2 - 31*d. What is the first derivative of b(r) wrt r?\nAnswer: -26*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150968 + -144352?\nAnswer: 6616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 1) + 31\/52452*-6168 + 4\/(-3)?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 2\/630337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -4, -13501, -2, -3 in decreasing order.\nAnswer: 3, 2, -2, -3, -4, -13501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.419256 litres in millilitres?\nAnswer: 2419.256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 2:34 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2240, 79, -5780, -17185, -35984, -64025?\nAnswer: -103156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 12) to base 2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8020092 is divided by 471770?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 189 + -168. Calculate the remainder when 37 is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 z, and 1 t when three letters picked without replacement from tzhzzrzzu.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**4\/8 + 8181*f**3\/8 - 170919*f**2\/8 + 1194375*f\/8 - 1392237\/4.\nAnswer: -3*(f - 2706)*(f - 7)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24903038*z**5 + 7798845*z**2.\nAnswer: -1494182280*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2. Let b(s) be the second derivative of -4*s**3\/3 + s**2 + 50*s + 1. Calculate x(b(c)).\nAnswer: 64*c**2 - 32*c + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 658616 = 2*q + 658715 for q.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2990*j**3 - j**2 - 11*j - 3997499 wrt j?\nAnswer: -8970*j**2 - 2*j - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 44519, 88952, 133309, 177596, 221819?\n\"Answer: h**3 - 44*h**2 + 44558*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 > 37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 499065\/272 + -14677\/8. Calculate the common denominator of -44\/323 and w.\nAnswer: 5168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1306 (base 7) in base 11?\nAnswer: -411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*s. Suppose s*l - 256 = -4*w - 3*l, -4*w = -5*l - 224. Is 21 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, v: 13}. What is prob of picking 1 v and 1 o?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 775 + -764. Let n(g) = g**3 - 8*g**2 - 4*g - 2. What is the remainder when n(r) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 6.\nAnswer: 0, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 138878 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 474 - 74. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*q = -0*q - 8651, 14449 = 5*t - q. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10513, -2, -5, 13 in decreasing order.\nAnswer: 13, -2, -5, -10513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-132)\/143 - 600\/26.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -766*b - 1001*b - 310*b.\nAnswer: -2077*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 7*t**3 - 136*t**2 + 40*t + 107. What is c(19)?\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -191 divided by -617\nAnswer: 191\/617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67960729.\nAnswer: 107, 635147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -16*a + 29. Let n be d(2). Let c be (12\/18*-3)\/n. Factor -2*y + c*y**3 + 0 + 4\/3*y**2.\nAnswer: 2*y*(y - 1)*(y + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 3:01 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2197*z + 191 + 184 + 186 - 561 in the form p + o*z and give o.\nAnswer: 2197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 41513052 divided by -4677\nAnswer: -8876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(700) + 0)**2 + 5.\nAnswer: 40*sqrt(7) + 709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-22)\/4*108\/(-18) and 1434?\nAnswer: 15774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101, -916, -3111, -7370, -14377?\nAnswer: -24816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/6 and -37\/175.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 16 + 0 = 2*j, 0 = 5*j - 17*r - 107. What is the closest to j in 350, -2\/15, -1\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -98*a + 101*a - 171. Suppose 0 = a*x - 187015 + 20176. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/15 - (-126)\/60*12. Suppose -65 - n = -2*k. Suppose 0 = 5*y - 4*m - 26 - 26, 0 = -3*y + 3*m + 30. What is the remainder when k is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9444548653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*10\/(80\/(-8)))\/(18\/(-132)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s**4\/4 + s**3 + 3*s**2\/2 + 4*s - 3. Let p be t(-2). Differentiate p - 36*w + 36*w - 18*w**4 + 8 wrt w.\nAnswer: -72*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*z + 6*z. Let s(y) = -y. Let k(i) be the first derivative of -3*i**2\/2 - i + 222. Determine z*k(x) - 2*s(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 32\/4 - (1 + 1). Solve 8 + 10 = -n*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 28750799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, -2\/19, -3\/5570 in descending order.\nAnswer: -3\/5570, -2\/19, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 58 = -5*z. Suppose -11 = -4*n + z. Suppose 4*t - n - 34 = 0. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*x + 15, 2*c = -3*x + 4 + 1. Let s(o) = -11*o - 13. Let f(q) = 6*q + 7. Let d = -13 + 16. Let k(h) = d*s(h) + 5*f(h). Determine k(x).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 10*g + 13. Let i be k(9). Suppose -4*u + 900 = 3*j + u, -293 = -j - i*u. Let s = j - 192. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 4*h**2 - 6*h + 8. List the prime factors of a(6).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22021.\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 48102, 0.3, -3, -13\/8, -0.3 in increasing order.\nAnswer: -3, -13\/8, -0.3, 0.3, 48102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1758, -1190, -622, -54, 514?\n\"Answer: 568*b - 2326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1503325 and 180?\nAnswer: 54119700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12631)\/(-34) + -1 + (-15)\/(-6). Let r(m) = -m + 16. Let x be r(12). Suppose 679 = x*u - b. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -15669, -31331, -46993, -62655?\n\"Answer: -15662*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26631560 divided by -13315780.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106887843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1)*(l**(-22)*l)\/l*l)\/((l\/l**25)\/l**15) assuming l is positive.\nAnswer: l**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 1505007.\nAnswer: 10535049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -584 - -4853?\nAnswer: 4269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -20. Let r = -8311\/7 + 1187. What is the second biggest value in r, 0.07, m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -69.\nAnswer: -5\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -15*g**3 + 70*g**2 + 15*g + 319. Let q(x) = x**3 - 5*x**2 - x - 22. What is 29*q(s) + 2*u(s)?\nAnswer: -s**3 - 5*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -62.094 to one dp.\nAnswer: -62.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*u - 23*u - 3438 = 0. Suppose -402 - u = -4*g. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 z when three letters picked without replacement from ddadddadazdazdzaad?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 8:29 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 48?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 628 + -358. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*x**5 + 16*x**4 - 16*x**4 - 30*x**5 + 74*x**3 - 74*x**3 + 0*x**5 + x**5 + x**5 + (x**2 + 0*x**2 - 3*x**2)*(4*x**3 - 2*x**3 + 0*x**3).\nAnswer: -x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 10*r + 106. Determine w(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i - 1. Let b be r(1). Let w be (-5 - -7)*b*(1 + -2). Let o(y) = 37*y**2 - 2*y + 1. What is the hundreds digit of o(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**8*l\/(l\/(l\/((l*l**(-2\/15)\/l)\/l)))*(l\/(l\/((l\/l**(-1\/3))\/l))*l)**(-2\/49))**(3\/13) assuming l is positive.\nAnswer: l**(7408\/3185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2775661 rounded to the nearest one thousand?\nAnswer: 2776000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 429 = 44. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/9*3*-1. Does 11 divide (103 - 4\/x) + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 808 a factor of 1094628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*2.0727.\nAnswer: 0.62181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2811 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111011 - 101?\nAnswer: 1110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 0.64 in decreasing order.\nAnswer: 1, 0.64, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 10582?\nAnswer: 158730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and -58655185885?\nAnswer: 58655185883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -24, -873, -2318, -4365, -7020, -10289, -14178, -18693?\n\"Answer: -o**3 - 292*o**2 + 34*o + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3569367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a - 8. Let o(f) = -f. Let v(i) = -6*o(i) - z(i). Let l be v(-6). Suppose 3*y = l*y + 5. Calculate the remainder when 14 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + j - 3*j + 3*j - 1401.\nAnswer: 2*j - 1401","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.705 - -0.505. Let t be -44 + (-6)\/(-3)*1. Let o = -128\/3 - t. Which is the nearest to o? (a) y (b) 1\/2 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 5*s = -77, 0 = -5*o - 2*s - 87 + 33 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2136235 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 74111711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 21 - -1) + -21 + 25?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242898089 is divided by 4541.\nAnswer: 4540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45235137.\nAnswer: 3, 15078379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 11436?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 119?\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**7\/70 - q**5\/15 - q**2 - q. Let x(a) be the first derivative of s(a). What is the third derivative of x(j) wrt j?\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 6*m + 2. What is the remainder when 53 is divided by u(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1824 = 4*q, f - 2*q - 1106 - 728 = 0. Suppose -w + 37 = -f. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 60 - 266 = 0. Let j = 209 + c. What is the highest common divisor of 92 and j?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-41)\/(-7)*(-1 - -2). Let u = z - -248\/21. What is the common denominator of u and 76\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1267323, 2534646, 3801969?\nAnswer: 5069292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 38*k - 70. What is r(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (1 + 5 + -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1493 at least 10456\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 6*s**2 - 17*s**3 - s + s**2 + 15*s**3 to the form w*s + u*s**3 + i*s**2 + d and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, n: 2, r: 1, y: 1}. What is prob of picking 1 r, 1 y, and 1 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 2*r + 18. Let x be -285*((-51)\/r - -1). Round x to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 14*l + 6*l + 25*l - 8*l. Let f(w) = -3*w**2. Determine f(s(k)).\nAnswer: -4107*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-36)\/54*30\/4. Put 4, g, -9 in increasing order.\nAnswer: -9, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1123231 - 11?\nAnswer: 1123220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/7)\/r**(-2\/5)*(r\/(r\/(r*r\/r**1*r)))**(-1\/10))\/((r\/(r**(1\/4)*r))**(-12\/17)\/(r**(-2\/3)\/(r*(r**1*r*r)\/r))) assuming r is positive.\nAnswer: r**(-6758\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 - -47. Suppose 0 = 8*q - o - 14. Solve 5*r - q*x + 2*x = -24, 5*x = -3*r - 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/2822 and 79\/22.\nAnswer: 31042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.528*-6998.\nAnswer: 31686.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a factor of 52903118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.133709 from -1.\nAnswer: -1.133709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.03 + 0.478. Let h = o - 0.47. What is h rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 32\/5 - 2\/5*j**2 = 0 for j.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 159 - 151. Solve -8 = f*v - 10*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15205807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 33*g**2 + g + 57. Let z be x(-33). Suppose 2*r + z*c - 62 = 26*c, 5*c + 87 = 3*r. Calculate the remainder when 132 is divided by r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + 2*y**2 - 3*y**2)*(-12*y**3 + 6*y**3 + 4*y**3 - y).\nAnswer: 2*y**5 + y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4150*n + 95464. Give m(23).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 2) + (-10)\/(-4). Let d = 210.37 + -225.3. Let u = -15 - d. What is the second biggest value in u, -3, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -22*p - 204. Calculate t(-11).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.01 - -4. Let r = -0.01022 - d. What is r rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11998 and 1806.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*b + 305 = 0, -44 = -d - 3*b - 1. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 3*f + 3. Let j(o) = 5*o + 26. Let k be j(-6). Let m = 12 + k. Calculate the remainder when m is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7403340 and 3180?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 0. Let i = g + 11. Suppose -f - 1 = 0, 4*f = -x - 2*x + 392. Calculate the highest common factor of x and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1813400.8 take away -34?\nAnswer: 1813434.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/238*21\/36*-33*-2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3597 by 11.\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b - 2*b - 4*b - 4*b + 3*b + 0*b + (2*b - b - 4*b)*(-3 + 3 - 1).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4*6\/(-9)*-6. Let x = -5 - -1. Sort x, n, 3.\nAnswer: x, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8806 = 692952*d - 692693*d for d.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -2, 83 in descending order.\nAnswer: 83, -2, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 592 divided by 37\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*p**2 + 432*p**2 - 58*p**2)*(4*p**3 + 2*p**3 - 4*p**3).\nAnswer: 638*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5)*(20\/(-11))\/((-44608)\/552024)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1382 - -0.3\nAnswer: 1382.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4c2547 + 11b?\nAnswer: -4c242a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 477\/20 - -4562\/5. Let t = a + -936. Factor -9\/8*l**3 - 5\/8*l + 2*l**2 - t.\nAnswer: -(l - 1)**2*(9*l + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -57*g**4\/2 - 17*g**3\/3 + 4*g - 374. What is the third derivative of l(z) wrt z?\nAnswer: -684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 628715 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8055 divided by -5?\nAnswer: 1611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-5*(sqrt(135)\/sqrt(5) - sqrt(27))*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**2 + 2*s**3 + s**3 - s**3 + s + 0*s as f*s**2 + k + p*s**3 + y*s and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -90 - -363\/4. Suppose -m - 2 = 4*f, m - 4*f - 14 = -4*m. Suppose 3*x - m*n + 132 = -1, -251 = 5*x + 4*n. Sort 4\/7, x, z.\nAnswer: x, 4\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c31 (base 13) to base 10\nAnswer: -2068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 v when three letters picked without replacement from vxvvvvvxvv?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 + 426 = 77*q - 778 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202218512 is divided by 49.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -8*c**3 + 2*c - 2*c - 42*c**2 + 43*c**2. Let j be b(1). Let z(h) = -h - 5. What is z(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72491950 + -44945037207\/620. Let y = 1260\/31 + x. Calculate the common denominator of 3\/4*4\/(-18) and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -230 + 413. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-21)*(-117)\/(-26)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3146)*-2)\/((sqrt(2) + (sqrt(2) - 1*sqrt(2)))*-3).\nAnswer: 22*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaaxaaaxacaaa. Give prob of picking 4 a.\nAnswer: 143\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9592146 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5237 or 5230?\nAnswer: 5230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o*o**17\/o)*o\/(o*o*o**(-3\/7))*(o\/o**(-16))**(-2\/13))**(6\/7) assuming o is positive.\nAnswer: o**(-9930\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 34\/10 - 4\/10. Suppose -5*f = -l*c + 5, f + c = -1 + 8. Suppose -z + 14 = v, -7*z - f*v + 70 = -2*z. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - d**2 + 2*d - 2. Let n(k) = -2*k - 18. Let x be n(-9). Let c be r(x). Let m be (-50)\/18 - (-2)\/(-9). Sort m, c, -5 in descending order.\nAnswer: c, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -4*s + 42388, 0 = 5*s - 3*o - 47645 - 5358. List the prime factors of s.\nAnswer: 2, 5303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**5\/60 - z**4\/12 + z**3\/6 + 2*z**2. Factor p(d).\nAnswer: (d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -71, -91, -111, -131, -151, -171?\n\"Answer: -20*i - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8376 divided by 21.\nAnswer: 2792\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 3*r + 3, 7*w - 4*w - 3 = -3*r. Let u = 690673\/27 - 228740\/9. Let p = -165 + u. Is w greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence du when two letters picked without replacement from duuvd.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 141740 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.148027 rounded to two dps?\nAnswer: 2.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b53 (base 15) to base 10.\nAnswer: -2553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30409343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -828965\/42 + 19736. Find the common denominator of 0 - -298*(-1)\/(-84) and d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3*sqrt(1573))**2.\nAnswer: -132*sqrt(13) + 14161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**3 - 12814*i**2 + 51232*i - 51224 = 0. Calculate i.\nAnswer: 2, 6403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12006 - -12004. Sort 0, -99, 4, q, -1 in descending order.\nAnswer: 4, 0, -1, q, -99","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 3:39 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence huaa when four letters picked without replacement from mmmmfffzuaauhh?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-4))\/((-6)\/(-4) + -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**4 + 3598587*g**3 - 53978355*g**2 + 269891025*g - 449817750.\nAnswer: -3*(g - 1199514)*(g - 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6046656\/(-27) + 6\/27. Let r = -313950 - b. What is r rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 200420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1142 + 14642?\nAnswer: 13500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*u + 8*u + 2454 = -12*u - 1242 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*w, -1 = -3*c - w + 8. Determine q so that -12*q**2 + 5 + 41*q**2 - 17*q**c - 17*q**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*h**5*m**2 - 89*h**5 - 2*h**2 - 155*h*m**2 - 3*m**2 wrt h.\nAnswer: -180*h**2*m**2 - 5340*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60405505 (base 7) to base 8.\nAnswer: 23072023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/((-32)\/(-6))*48\/(-63). Which is the third biggest value? (a) 7 (b) -5 (c) 0.03 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**13)**21)**(2\/133))**(6\/23) assuming h is positive.\nAnswer: h**(468\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-1\/24)\/v*v*v*v*v**(2\/53)*(v**23)**(-24) assuming v is positive.\nAnswer: v**(-698333\/1272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001222021694 to five decimal places.\nAnswer: -0.00122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 468 = -153. Let n be ((g - 3) + 4)\/2. What is the second derivative of -114 + 114 - n*q + 8*q**3 wrt q?\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2152\/6725)\/((-5)\/250)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37422 + 18104 = -22*w - 23784. Which is smaller: w or -3606?\nAnswer: -3606","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 604568782 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*y - 25600 = 568*y for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 598 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 16 + 14. Let w(c) = -13*c**2 + c**2 + 10*c**z - 12*c**2. Let t(n) = -n. What is w(t(x))?\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4421294 divided by -4.\nAnswer: -2210647\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 3*i - 6*i - 199, -2*i - 198 = -4*s. Calculate the remainder when (-1270797)\/(-4365) + 2\/(-15) is divided by s.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271329260.\nAnswer: 2, 5, 53, 255971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1531472.\nAnswer: 2, 95717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1134 + -1945. Is -811 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-324)\/(-243)*(-6*(-9)\/324)\/((-2)\/558)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 1 - 4) + 13 + -265 + 251?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*t**3 - 16*t**3 + 5*t**3 + (14*t**2 + 15*t**2 - 23*t**2)*(0 + 3*t + 0) to j + h*t**3 + u*t + b*t**2 and give h.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from fkfk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*p - 1067 - 886 = 0. Solve -3*b - 3 = 5*g, -p*b = -26*b - 20 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2232234 divided by 963?\nAnswer: 2318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10166, -10211, -10288, -10403, -10562, -10771?\n\"Answer: -a**3 - 10*a**2 - 8*a - 10147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1631.13237 microseconds?\nAnswer: 0.000000002696978125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20203968809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -66*i**2 + 0*i + 5\/48*i**8 - 10\/3*i**5 + 29\/12*i**6 + 0 + 5\/3*i**3 + 35\/24*i**4 - 17\/21*i**7. Find n such that d(n) = 0.\nAnswer: -1\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 a when two letters picked without replacement from mbbabmbbabba?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 7376*j - 58937. Give z(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 3:46 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -402 - 2?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -12439.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**3 - 5 - 328*a**2 - 2*a + 179*a**2 + 155*a**2 in the form f*a + k*a**3 + u*a**2 + o and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 22*k + 5. Let a(j) = 11*j + 3. Let s(h) = -5*a(h) + 3*c(h). Let l = -115 + 122. Let w(n) = 19*n**2 + l*n - 7*n - 17*n**2. What is w(s(o))?\nAnswer: 242*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -6*p - 2*p**2 + 5*p**2 + 3*p**2 - p**2. Let w(b) = 4*b**2 - 13. Let q(l) = l**2 - 3. Let v(f) = 26*q(f) - 6*w(f). What is y(v(c))?\nAnswer: 20*c**4 - 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2010000022 - 0?\nAnswer: -2010000022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23416 or -3254816\/139?\nAnswer: -23416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/47 (b) 4 (c) -350 (d) 2 (e) 7 (f) 1\/8 (g) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u. Let h(f) = -30371*f. Calculate h(p(a)).\nAnswer: -30371*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/9 - (-34)\/6. Suppose l - 36 = -5*q - 9, 0 = g*l + q - 15. What is the third derivative of -4*b**6 - 8*b**l - 6*b**6 + 0*b**6 wrt b?\nAnswer: -1200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1060 and 125040?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.546 - -0.322. Let s = 1.554 + i. Round s to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (3 - 2)*(-70)\/(-10). Solve -z - m + 6 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 533, 530, 527?\n\"Answer: -3*p + 536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h - 3. Let b(f) = -3*f + 6. Suppose n = 5*i - 10*i + 28, 0 = -2*n + 5*i - 19. Calculate n*b(w) + 5*c(w).\nAnswer: w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/1113264 and 163\/25770.\nAnswer: 5566320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1650, 1648, 1646?\nAnswer: 1644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.07535ug to kilograms.\nAnswer: 0.00000003207535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 716 = -2*c + 720. Let p(o) be the second derivative of 0 + 7*o - 1\/2*o**3 - 3*o**c. Find the first derivative of p(i) wrt i.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -219*3\/(-6) + 4\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 4*l**2 - 2*l - 1. Let f = -15 + 18. Let n be w(f). Suppose -8 = c - 3*z, c + 2*z = 4*z - 4. What is the greatest common factor of n and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-365)\/15 - (-1)\/3. Let n = -7 - q. What are the prime factors of n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 640633657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142958*z = -143013*z - 1650 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -3*f - 3*l + 69, -3*f - 2*l = -72. Suppose 0 = 26*q - 25*q - f. What is the greatest common factor of q and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*w + 4. Let q(p) = -2*p - 1. Let t be q(-5). Let y be (-12)\/t*(-3)\/2. Solve -y*n = -n - w for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2171800086 to the power of 1\/2, to the nearest integer?\nAnswer: 46603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 + 453?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 3:00 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4224481724.\nAnswer: 2, 31, 34068401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 7*o - 5. List the prime factors of q(-4).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -n**5\/60 + n**4\/12 + 4*n**3\/3 - 8*n**2. Let w be y(4). Suppose 6*j - 2*j = w. Solve j*r = 2*r - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -78.279.\nAnswer: -83.279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l**2 + 5*l**2 - 4*l**2)*(77*l + 134 - 134) to y*l**3 + x*l + n + t*l**2 and give y.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + sqrt(891)) + 5 + -4)**2 + -1 + 1 + sqrt(891) + -6*(sqrt(891)*-1 - sqrt(891)).\nAnswer: 225*sqrt(11) + 8023","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + (75 - 84) + -77.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3307*z - 3308*z + 6614*z + 4 = -v, 2*z - 2*v - 44 = 12*v for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 60, 217, 520, 1017?\nAnswer: 1756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/3 - -3*(-33)\/(-9). Solve 7 = -4*b - o for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 10:59 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2941?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3421.\nAnswer: 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-43 - -41))\/((8\/(-90))\/4) - -10.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -115 - -275. Calculate the common denominator of ((-710)\/u*6)\/(3\/(-4)) and 113\/530.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5550*c + 203*c**3 - 5550*c)*(-c - 5*c + 3*c) + 13*c**4 - 7*c**4 + 2*c**4.\nAnswer: -601*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9508 + 24702. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 3*a**2 - a + 1. Let c be u(2). Find the common denominator of 18\/5 and (-1)\/c*(6 - 44).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.75 - 0.1003.\nAnswer: -0.8503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 - -38. Let n be 2*3\/45 + (-799)\/255. Put 1, -1, n, d in ascending order.\nAnswer: d, n, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155143611.\nAnswer: 3, 7, 941, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 4, 6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 16*c**2 - 45*c - 259. Give u(-5).\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5 - 59*i**3 + 108*i**5 + 59*i**3 - 11 + 10*i wrt i?\nAnswer: 2160*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - s - 1. Let v(u) be the first derivative of 3*u**4\/4 - 2*u**3\/3 - u**2 - 10*u + 7015. Determine -2*a(m) + v(m).\nAnswer: 3*m**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.71661 hours to nanoseconds.\nAnswer: 243779796000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 7*s - 19 = -i, -3*s = 4*i - 11 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 24\/100532885?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 242 - 245. Sort -6, -2, 5, u.\nAnswer: -6, u, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231*u - 207*u + 1060*u - 209*u - 229*u - 219*u.\nAnswer: -35*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 75*a + 190*a**5 - 75*a + 88*a**5 + 306*a**2 wrt a?\nAnswer: 16680*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 + 620*m - 19220.\nAnswer: -5*(m - 62)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -395*n**2 - 6*n + 2. Let w(x) = -789*x**2 - 10*x + 4. Let v(u) = -5*o(u) + 3*w(u). Let c(h) = 2*h**2. What is c(v(p))?\nAnswer: 307328*p**4 - 3136*p**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 86 and 262\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 396*d + 221*d + 3 - 196*d.\nAnswer: 421*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17331 and 4908489.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39111*a**2 - 4*a - 6*a - 2*a - 20*a + 31*a.\nAnswer: 39111*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1\/2))**(-16)\/((k**(2\/11)*k)\/(k*k\/k**(-1\/2))) assuming k is positive.\nAnswer: k**(-147\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -s**6\/120 + 2*s**5\/15 - s**4\/4 - 4*s**3\/3 + s**2. Let z be y(7). Let k(d) = 11*d**3 + d**2 - 1. Calculate k(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 20*y**2 - y + 14. Let w be j(20). Let r be (3456 + 6)*w\/(-9). Suppose -r = -10*a - 138. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7053*o - 7012*o + 28 + 14093*o.\nAnswer: 28*o + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n. Let p(h) = 0 + 422133*h**2 + 3*h + 3 - 422118*h**2. Give l(p(x)).\nAnswer: 15*x**2 + 3*x + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -879449.9362216 and 3?\nAnswer: 879452.9362216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 10 + 10 = 0. Suppose -8 = -q*u, 2 = w - 3*u - 8. Suppose -8 = -2*x + 5*r, 0 = 15*x - 17*x + r + 8. Solve w = x*j + j - k, 5*k = -4*j + 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/13*w + 2\/13*w**2 + 0.\nAnswer: 2*w*(w + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 6*a = -549. Let o = a - -169. Suppose 0 = o*k - 110*k + 20. Solve k*r - 7*r = 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 859103.9kg in tonnes?\nAnswer: 859.1039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 7 = 4*i, -i = -4*m + 2*m - 4. Suppose -c + i = -1. Suppose -57 + 3 = -c*j. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -30 + 5?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 12. Suppose h*k = -4*l + 590, -4*k = -4*l + k + 555. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -234 - -228. Let f be (-1)\/3*s\/(-4). What is the smallest value in f, -1\/7, 0.14?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*z + w, 0 = 5*z - 6*w + w - 15. Let h be 2\/(z\/(-10) - 9\/(-105)). Let f(v) = 2*v + 9. Let x(p) = 2*p + 8. Give h*x(u) - 6*f(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -11*y + 1. Suppose -4*l + 7 + 9 = 0, -2*i - 8 = -3*l. Calculate t(i).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-2)\/(-4))\/(17\/68)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + (-4)\/4 + 8. Factor 37*z**2 - 25*z**2 + f*z**3 + z**3.\nAnswer: 4*z**2*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 282*h**2 + 1. Let s(x) = -22653*x**2 + 11339*x**2 + 11332*x**2. What is s(a(k))?\nAnswer: 1431432*k**4 + 10152*k**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 267\/2 - 10397\/78. Which is bigger: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**3 + 74*i**2 - 183*i + 558. What is the hundreds digit of z(31)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 31*u + 56 = 71*u - 53*u, 3*x + 9 = -3*u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 55 - -19058122\nAnswer: 19058177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 141812968 and 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -90, 0, -4, 4, 236 in ascending order.\nAnswer: -90, -4, 0, 4, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -5 (b) -2\/9 (c) 0.1 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123726, -123722, -123718, -123714, -123710, -123706?\nAnswer: -123702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9615 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v + 12. Suppose 2*i + 6 = 4*i. Let b(c) = c - 11. Let n(y) = i*d(y) + 4*b(y). Let m be n(-6). Solve 3*u = -5*f + 19, -2*f - 10 = -m*f for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16100 rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 6*w + r, 452*w + 4*r + 2 = 450*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 31*a**2 - 35*a - 7. Let o(u) = 15*u**2 - 20*u - 4. Let r(h) = 7*o(h) - 4*x(h). Let d(p) = 2*p**2 - 2*p. What is r(d(w))?\nAnswer: -76*w**4 + 152*w**3 - 76*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 19, 123461, 5 in decreasing order.\nAnswer: 123461, 19, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -8*f**3 + 5*f**2 + 6*f + 10. Is 6 a factor of s(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192334057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 111*f + 740. Determine q(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.89 - 9.69. What is u rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 32\/5, -3, 2, -1\/2 in ascending order.\nAnswer: -3, -1\/2, 2, 3, 32\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -151 - -87 - (-43 - -48)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*j**2 - 4 - 34*j**2 + 4 as d*j**2 + n + a*j and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -13*m - 13*m + 76. Let b(r) = 22*r - 89. What is b(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62165082?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 2:09 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 156103.8us?\nAnswer: 156.1038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 9*m**4 - 24*m**3 + 12*m**2 = 0?\nAnswer: 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 124129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 11. Let x = -6 + b. What is the highest common factor of x and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + 1173.30293.\nAnswer: 1172.90293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/572429 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 10) in base 12?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - 76. Let w = -37 - y. List the prime factors of w.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 143 (b) -3\/7 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 135 = -5*l, 0*l - 31 = m + 2*l. Let q = 47 + m. Find the second derivative of -2*a - a + 0*a - q*a**3 + 22*a**3 wrt a.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1312627 (base 10) to base 14\nAnswer: -262511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1758*y - 93353 + 24673 = 41*y for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 0*d + 0 + 0*d**3 + 1\/8*d**4 - 3\/20*d**6 - 1\/20*d**5 + 2*d**2. Factor n(r).\nAnswer: -3*r*(2*r + 1)*(3*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 36 - 31. What is the highest common factor of m and 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1359 - 1354. Which is the nearest to 1\/3? (a) 2 (b) s (c) 0.2 (d) -6\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-14)\/126)\/(2\/6)*12\/(-2). Let o(a) be the second derivative of 0*a**3 + 24*a - 5\/3*a**4 - 19\/2*a**t + 0. Differentiate o(h) with respect to h.\nAnswer: -40*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 u when three letters picked without replacement from aftbtaauubuftaa.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89 - 36. Let a = -2 + j. Let v = -51.0195 + a. What is v rounded to 3 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/21)\/(o\/o**2) assuming o is positive.\nAnswer: o**(19\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (13 - -14) + -34 - (4 - (7 + 47 + -6))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 975790633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -286*t - 95. Is u(-22) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -448719, -448717, -448713, -448707?\nAnswer: -448699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 63526*g**2. Let m(s) = -2*s. What is c(m(j))?\nAnswer: 254104*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 5*h = -40, 15*h = -3*b + 10*h + 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/31*(-166)\/996?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1775 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 j be 1 + (2 - (-6)\/2). Suppose -25 = -j*v + v. What is the second biggest value in v, -6\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -107.\nAnswer: 42.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-3)*(-15)\/5*-3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(1539) + 5 + -5 + -1*sqrt(1539) - (-4*(-2 + sqrt(1539)) - (sqrt(1539) + 3 + 4))) + 5)**2.\nAnswer: 504*sqrt(19) + 75427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 325947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.86723 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 216?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(17) + -2)*6)**2 + -5*(sqrt(17) - -4*sqrt(34)\/sqrt(2)).\nAnswer: -217*sqrt(17) + 868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -141. Suppose 706 = 3*r + j. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4432*k*r**5 - 7*k*r**2 + 179997076*k*r - 156*r**3 + 2*r wrt r.\nAnswer: 88640*k*r**3 - 14*k - 936*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r - 15*r - 6*r to the form q*r + d and give q.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.7147 - 0.7147. Put -2\/5, -158, 0.4, r in decreasing order.\nAnswer: r, 0.4, -2\/5, -158","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 q, and 2 m when four letters picked without replacement from {q: 3, m: 3, f: 8, v: 3}.\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1756 + -1756.13. Which is the nearest to 0.3? (a) k (b) -5\/4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 156*b + 12. Let h be p(4). Let o = h - -322. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -33. Is 12 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.2 (b) 0.2 (c) 567 (d) -9 (e) -0.01 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 2 (c) 3 (d) 0 (e) 445 (f) -0.01 (g) -1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.03 and -334783278.152.\nAnswer: -334783278.122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6, 1457, 2908?\n\"Answer: 1451*m - 1445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20465*q - 154756*q - 81158*q - 91513*q.\nAnswer: -347892*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 5*m - 833 + 273, -4*m = 3*k - 333. Suppose -k = 5*x - 40. Let w = 28 + x. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/25 (b) -42\/11 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 624 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 510\/(-85)*((-52)\/(-6))\/13\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -168\/5 + 27\/5*a**2 + 18\/5*a + 3\/5*a**3.\nAnswer: 3*(a - 2)*(a + 4)*(a + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -15*u**3 + 11*u**2 - 19*u. Let l(v) = -8*v**3 + 6*v**2 - 10*v. Determine 11*l(r) - 6*z(r).\nAnswer: 2*r**3 + 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34\/16443 + -909773\/18792. Let k = n + 366\/7. Calculate the common denominator of k and 38\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 10*p**2 - 12*p - 28. Let b be r(-9). Sort 6, 3, b, -3.\nAnswer: -3, b, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - -60) + -70 + 7.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 13. Let n be o(14). What is the highest common divisor of n and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.78947s in microseconds?\nAnswer: 789470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 - w - 1. Let p be d(-1). Suppose 4*f + p*s - 25 = 3*s, 2*f = -2*s. Suppose f*n = -0*n - 20. Let j(o) = -o. What is j(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than 341.44177944168?\nAnswer: 341.54177944168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, m: 3}. What is prob of picking 2 m?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40 - 63 - 40*g + 101 + 6*g - 3*g - 2*g + (-3 - 1 + 5)*(2*g + 2*g - 6*g).\nAnswer: -41*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -332, -190, 38, 346, 728, 1178, 1690, 2258?\n\"Answer: -o**3 + 49*o**2 + 2*o - 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 451, 814, 1177, 1540, 1903, 2266?\n\"Answer: 363*x + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, o: 11, m: 1}. Give prob of sequence xo.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*1*(-2)\/(-4)*1. Let j be (1\/d)\/(15\/(-210)). Let g be -2 + (j - 15\/5). Solve 1 = -g*u + 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 79*t + 569. Determine z(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -112.144 + 115. Let y = 2.7 + -5.6. Let c = s + y. Round c to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -359 and 6.\nAnswer: -2154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001001 (base 2) in base 13?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4)*(1 + 1). Let x(v) = 143*v**2 - 582*v + 40. Let n be x(4). What is the third smallest value in 3\/4, g, -2\/7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 14.97. Do 0 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 889 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 17*p - 22. Let u be h(16). Is ((-2)\/8)\/(u\/25848) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -630873.6 rounded to the nearest 1000?\nAnswer: -631000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v + v**2 + 10*v**4 + 12*v**4 - 23*v**4 + 2*v**3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 58, 285, 906, 2119, 4122?\n\"Answer: 33*f**3 - f**2 - f + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/3 - 2\/(-30). Let a be 94\/(-22)*(1 + -4). Let s = a - 13. What is the biggest value in x, -1, s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(2*-23 + 1). What is the lowest common multiple of 12 and ((-24)\/(-10))\/((-6)\/q)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 6*g + g)*(1 + 2 + 3).\nAnswer: 30*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 8*b**2 - 8*b + 8. Suppose -6 = -5*n + 2*n. Suppose n*o + 14 = -0. What are the prime factors of j(o)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(5\/9)*d))\/(d\/(d*d*d**(5\/6))) assuming d is positive.\nAnswer: d**(23\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76121\/14271 - 3\/4757. Solve -8\/3*z - y*z**2 - 2*z**3 + 0 = 0.\nAnswer: -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/882705 and -61\/14889?\nAnswer: 6178935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(1\/10)*y*y\/(((y\/y**(-18))\/y)\/y) assuming y is positive.\nAnswer: y**(-141\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -25472, -24895, -24318, -23741, -23164, -22587?\n\"Answer: 577*y - 26049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1653 minus -1350484827?\nAnswer: 1350486480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5724 + 5752. Solve 2*p + 2*v = -10, -5*p + 4*v = 26 - q for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45 + 85 - 55*h + 36*h - 39 - 2322*h**3 wrt h?\nAnswer: -13932*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*k*n*o**2*s + 14*k*n*o**2 + k*n*s + 2*k*o**2*s - n*o*s - 3*n + 3*o*s - 2*o wrt o.\nAnswer: 10*k*n*s + 28*k*n + 4*k*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (171\/(-285))\/(-2*2\/(-20)). List the prime factors of (-2)\/t + (-1174)\/(-3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/12 - 39\/(-9). Let u = -2.8 - 1.2. Sort -0.5, s, u.\nAnswer: u, -0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6814.03 to the nearest 100.\nAnswer: -6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + -2 + 12 - (0 - 9) - 26?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*l + 16 = 0. Suppose -17 = -p - 0*p. Let k = p + -12. Solve 0 = k*m + 9 + l for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7\/106 - 65\/2226. Suppose 9 = c - 2*c. Put c, 0, x in descending order.\nAnswer: 0, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - h**2 - 7*h + 1. Let m be j(3). Let b(v) = 3*v + 17. Let g(f) = 8*f + 35. Let t(x) = m*g(x) + 5*b(x). What is t(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276173 is divided by 3642.\nAnswer: 3023","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -13 (c) 0.3 (d) 1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence si when two letters picked without replacement from tkktktttttttiktss.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*i - 23*i + 16*i to y*i + a and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 178*m + 11. Let u be r(1). What is the greatest common factor of u and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69097?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-46)\/(-36) - ((-8)\/36 + 0)*1. Sort p, -1\/3, -0.3, -5, -0.09 in decreasing order.\nAnswer: p, -0.09, -0.3, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 15*v + 3*v**2 - 15\/4*v**3 - 3\/4*v**4.\nAnswer: -3*v*(v - 2)*(v + 2)*(v + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of r + 0*r - 3*r - 2 - 7 wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 474390036?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**4 - 9954*j**3 - 311460*j**2 + 9954*j + 311457 = 0. Calculate j.\nAnswer: -31, -1, 1, 3349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -53765 (base 9) to base 6\nAnswer: -432522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 6 - 2 + 64*o.\nAnswer: 64*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -427 + 2420. List the prime factors of n.\nAnswer: 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -629 + 433?\nAnswer: -1d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n - 5. Let g be 2\/7 + 632\/(-7). Let s be ((-1)\/3)\/(5\/g). Determine w(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4892 - -11303. List the prime factors of s.\nAnswer: 3, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t = 2*t - 78 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1*(1 + (sqrt(133)\/(sqrt(63)*6))**2*-2).\nAnswer: 181\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5060557 litres?\nAnswer: 506.0557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1868 + -1868.3. Suppose -5*n - 2*f + 97 = 461, -3*n - 213 = 3*f. Which is the biggest value? (a) -5 (b) n (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2067 = -16*l - 483. What are the prime factors of l?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1017480975 to the power of 1\/2, to the nearest integer?\nAnswer: 31898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fn when two letters picked without replacement from nfmnmmfnfqf?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -3*u. Suppose -100 = -u*d - 2*d. What is the remainder when d is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 10060712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2517 - -2514. What is the third smallest value in i, 3\/4, 2\/11, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -123.7309013 to two decimal places.\nAnswer: -123.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a hour in seconds?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 55*r + 87*r - 46*r)*(-1 + 3 + 1)*(r - r - 2*r).\nAnswer: -576*r**2 - 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/11232 and 173\/9282.\nAnswer: 1336608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddrddtdrdddtrddr. What is prob of sequence ddrd?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55988 + -36782. Is 198 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (176\/12 - 14)*(-30)\/35.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(5) + -3) + -2.\nAnswer: -8 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1988)\/(-36) + (-4)\/18. Is k > 57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -0*p. Suppose p = -8*m + 4*m - 8. Let d be m\/4*-4 - 6000002. What is d rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1 + sqrt(11) + sqrt(11) + 1 + -5)**2.\nAnswer: -36*sqrt(11) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q - 110 = -3*b - 7, 4*q - 29 = -4*b - 35 + 30 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**3 + j**2 + j + 40. Let v be n(0). Let t = 45 - v. Solve 5*y = -0 + t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1885.24698 rounded to one dp?\nAnswer: -1885.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 2*f**7\/189 - 2*f**6\/45 + f**5\/15 - f**4\/27 - 18*f. Determine v, given that y(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 2*y**2 + 2*y + 1. Let c be k(-1). Suppose c = 3*d - 1 - 23. Solve 0 = 5*o - d - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/3 - 454208*m\/3 - 908408\/3.\nAnswer: -2*(m + 2)*(m + 227102)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/9)\/(-5)*9 + -3. Is 381 - (-2 - -1 - t\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 109*k - 101. Let y be x(6). Let s be -1 - 11\/(-7) - (-17380)\/y. Calculate the highest common divisor of s and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -19. What is the third biggest value in p, -0.5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n - 11*n + 26*n - 15 - 3*n. What is the remainder when 51 is divided by q(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 68?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 11:10 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 663.4 + -663.2. What is the nearest to 0.04 in -0.1, 0, j, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140\/26*53794\/10345\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 11:07 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -424, -1, 2\/131 in descending order.\nAnswer: 2\/131, -1, -424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 207 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**2 + 204*k - 206 = 0 for k.\nAnswer: -103, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a**3 - 13*a**2 + 25*a - 7. Let u be k(10). Suppose -w = 5*h - 3*h - u, 2*w = -2*h + 3940. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2689760 is divided by 36348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 27 = t, -12*t = h - 10*t - 1. What is the highest common factor of h and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -20 (c) 3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbfbobbbffoobbaov. Give prob of picking 4 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1879868?\nAnswer: 2, 113, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + t + (5 - 1 - 2)*(-2*t - 5 + 5) + 30 + 33 - 3764*t + 3763*t to q*t + u and give u.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/20, -1645\/18, 6.5?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gaagagagga. What is prob of picking 2 g?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.892 and 206.8?\nAnswer: 204.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 3 - (13 + -11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (126 - 114) + (-9 - ((3 - -1) + -4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*y + u, 25 = -3*y - y + u. Let d(g) = g**3 + 6*g**2 + 8*g - g - 2*g + 5. What is d(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1056\/60)\/(1\/5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jttkttkkktkktk. What is prob of sequence ktjk?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.20826 years to months.\nAnswer: 614.49912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1566)\/(-145) - 11)\/((-172)\/34 + 5).\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17121, 18705, 20289, 21873, 23457?\nAnswer: 25041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.039 + -0.161. Which is the third biggest value? (a) -0.07 (b) q (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 14 = 164*c - 161*c, 4*t + 24 = -4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -40*m**3 + 4*m**2 - m - 6. Let t(k) = -79*k**3 + 8*k**2 - 3*k - 13. Let q(o) = 9*r(o) - 4*t(o). Is q(-2) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*u + 0*u = 12436 - 11608. What is the smallest common multiple of u and 1006?\nAnswer: 18108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 436, 434, 432?\n\"Answer: -2*k + 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 682092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - g + 5, -5*q - 32*g + 20 = -28*g. Let n(r) = 2*r + 10. Let p(v) = v + 1. Let k(c) = n(c) - 3*p(c). Determine k(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1309 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 3*x + 41, -2*x - 19 = 5*h + 38. List the prime factors of h + (-756)\/(-44) - 4\/22.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/510 and 119\/12.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 + 55 + 63 + 96.\nAnswer: 2*s**2 + 214","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4\/17)\/((((i\/i**(-7\/3))\/i)\/i*i)\/i))\/(i**(1\/4)\/i**(-17)) assuming i is positive.\nAnswer: i**(-3839\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 + -28. Let o = 7 + -6.98. Which is the closest to 0? (a) q (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18406 and 230?\nAnswer: 2116690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 27*z - 3. Let b be s(-21). Let n be (1 + -4)*86\/b. Solve 3*v - n = 13 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9\/14 - -93\/35. Find the common denominator of 30\/133 and l.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -424*j**3 + 25*j**2 + 34*j - 6. Let i(n) = 141*n**3 - 9*n**2 - 12*n + 2. Determine 17*i(g) + 6*m(g).\nAnswer: -147*g**3 - 3*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*5)\/((-8)\/((-40)\/5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrdrd. What is prob of picking 1 d and 3 r?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1294 and 3694.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-6))\/((-15)\/(-60)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.031, -1\/54, 2\/7, 0.46?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -9*k + 19*k - 9*k - 11. Let o be x(9). Let b(g) = -g**3 + 3*g**2 + 3*g + 2. Is b(o) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 6 = -o. Which is smaller: o or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 6682*l - 181100. Give j(-27).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36\/175 + 98\/25. Let w = -73447 - -18802405\/256. What is the common denominator of y and w?\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 - 3*n. Let a be h(2). Suppose -7*b + 270 = a*b. What is the smallest common multiple of 12 and b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25908247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine tenths of a millennium?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 50 = 80. Let l be (16\/(-6))\/(a\/39). Is l bigger than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2551*q + 244*q**3 - 4655*q + 2104*q.\nAnswer: 244*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-24)*(1 + 5). Suppose 0 = 4*d - 5*o - 313, -2*o + 496 = 5*d + 80. Let z be (-2)\/b - d\/(-4). Calculate the greatest common divisor of 50 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 4*p + 184, -3*c + 6669 = -4*p + 6488 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**2 + 11*k - 3. Let i(x) = -x**2 + x. Let j(c) = -3*i(c) - m(c). Let p be j(-11). Calculate the highest common divisor of p and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 19 = -166. Is i a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-15) + 38\/(-10). Let a be 4 - (2 - 10)\/x. Solve 2*l = 4*w - a*l - 24, -w - 2*l = 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -66*o - 54. Does 16 divide d(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 0) + 10 + (151 - 157).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + (53 - (34 - -18)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -235 - -255.2. Let i = n + -20. Let x = i - -0.2. Which is the smallest value? (a) -0.3 (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(4 - 3) - -7. Suppose -p*z - 8 = -5*z. Let g be 0 - 8\/(-2)*(3 - (-30)\/(-12)). Solve -g*j = 5*v + 21, 2*j = -2*v - z - 2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 - 26*v - 18. What is o(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0.01, 59?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2906 - 2906.5. Put -2\/7, j, 4.1, -8 in increasing order.\nAnswer: -8, j, -2\/7, 4.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i**3 + 759*i**2 + 3 + 751*i**2 + 754*i**2 - 2264*i**2.\nAnswer: 10*i**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 3*j + 70. Suppose 5*n = 13*h - 18*h + 60, h = -4*n + 42. Let b be w(n). Put -3, -10, b in increasing order.\nAnswer: -10, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2210 by 26.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-172)\/129)\/((-4)\/54). Solve p - 10*p - j = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2 = -l - 3, 3*z + 5*l = -5. Which is the second smallest value? (a) -1\/92 (b) -1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/6)*b**(-1\/7)\/b*b**(-1)*(b\/b**(-1))\/b)**(-20) assuming b is positive.\nAnswer: b**(410\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-120)\/(-35))\/(56\/(-28)*(-1)\/(-7))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393397 is divided by 13556?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 - -40. Let y = 0.06 + 4.94. Let w(d) = 2*d + 9. Let g be w(-6). What is the closest to -0.1 in g, p, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2867 a factor of 424857863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three eighths of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 643, 15, -4.\nAnswer: -4, 15, 643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - 17. Solve -5*l + g + 26 = 0, l + g = 2*g + c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1842\/15)\/(6\/15). Let l(d) = 630*d**2 - q*d**2 - 315*d**2. Let v(i) = -6*i. Determine l(v(u)).\nAnswer: 288*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 22*w - 34*w. Find the second derivative of -i**w - 17*i**5 - 1152*i - 23*i**5 + 984*i wrt i.\nAnswer: -800*i**3 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, 1, -4 in descending order.\nAnswer: 1, -1\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -24. Let w(a) = -4*a**3 - 5*a**2 + 5*a - 2. Let v(q) = -q**3 - q**2 + q. Determine z*w(s) - 5*v(s).\nAnswer: s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14453\/49 - -295. Let j = 12.1 + 7.9. Let m = 18 - j. What is the fourth smallest value in b, m, -3, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 1 = z, 2*i + z - 22 = -3*z. Solve h + 1 = -3*h - 5*w, 5*w - 3 = -i*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f + 14. Let g be a(-5). Let t = -1423\/6510 + 2\/465. Is g at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1039\/4060 - 6\/1015. Which is the smallest value? (a) p (b) 2 (c) 5.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 29.22193 millimeters?\nAnswer: 0.02922193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 6*q**2 - 6*q - 3. What is the smallest common multiple of 89 and u(7)?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -187770 divided by -11\nAnswer: 17070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, o: 2, m: 1, v: 4}. What is prob of picking 1 g and 2 v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 + -1424\/31. Suppose 0 = 2*f + 3 - 5. Which is smaller: p or f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 2) + (2 - 3 - -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7\/14)\/(1\/(-12)). Let i be ((-2)\/u)\/(12\/180). Suppose i*j - 3 = 7. Solve 2*r = 3*r + j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.75 - -25.55. Let l = 27.04 - i. Let g = l - 4. Round g to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -126595?\nAnswer: 3\/126595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14069 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7051251 + -0.046607896?\nAnswer: 7051250.953392104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-250))\/((-558)\/155)?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4223 and 3811.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**3 - 8*p**2 - 10*p + 45. Is 5 a factor of r(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 156 + -160. Let w be (-200)\/1040*s\/(-5). Suppose 4*b - 5 = -b. What is the nearest to b in w, -5, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 3*l + 12. Let m be j(-5). Suppose -4*w - 7 = -5*o, 0 = 2*o - 3*w - m*w - 13. Let b = 0 + 3. What is the nearest to 0 in o, -0.4, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*y**2)*(-2 - y + 6*y + 0).\nAnswer: -10*y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13 - (-8 - 4662\/540) and (-566)\/(-180) + (-1)\/5.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1027 divide 711148204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 3:06 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwjwwwwwjw. Give prob of picking 2 w.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - z - 69 = -41, 9*z = 4*w - 287 + 150 - 243 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 6*v**3 + 2*v**2 + v + 2. Let a(z) = -29*z**3 - 11*z**2 - 4*z - 11. Suppose -5*d - 2*m = -6, -2*d + 31*m - 27*m + 12 = 0. Calculate d*a(t) + 11*g(t).\nAnswer: 8*t**3 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.142344972 rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*n - 12 = 0, -3*n = -3*d - 34 + 16. Let y(l) = -l - 1. Let m(p) = -2 + 2 + 3. Give d*y(z) - m(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.06 (b) 0 (c) 0.9 (d) -70\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5834368, 5834380, 5834404, 5834446, 5834512, 5834608, 5834740?\n\"Answer: d**3 + 5*d + 5834362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s - 15*s = 4*i - 486, 0 = -5*s - 2*i + 1191. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33190 and 40?\nAnswer: 132760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 9. Let m(g) = o*g + 19*g + 17*g - 61*g. Let i(j) = -2*j**2. What is m(i(z))?\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 6. Let n(p) = 2*p + 5*p**2 - 2 + a*p - p. What is the least common multiple of 4 and n(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*(-14)\/(-154)*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*x**2 - 83*x**2 + 158*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 7*c + 5. Let o = 8 + -8. Suppose 2*m - m + 12 = 4*x, o = -3*x - 5*m + 32. What is u(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (3 - (0 - -2 - -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 587*c + 58506 = -117*c - 689*c for c.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 5. Suppose x + z = u, -x - 6*z + 3 = -z. Solve x*n + 0*n = -9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 578 + -575. Let n = 0 + 0. Suppose w - 2*z - 124 = n, -8*w + s*w + 599 = -3*z. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -473604 (b) -0.3 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 1110?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -40. Suppose -z + 100 = n. What is the highest common factor of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/135 + -53\/135. Which is the fourth smallest value? (a) -2\/19 (b) -0.48 (c) h (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 86 (b) -5 (c) -5\/4 (d) -0.2 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8b5 (base 16) in base 11?\nAnswer: -1747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 224710 + 581913. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1026379, -1026349, -1026315, -1026277?\n\"Answer: 2*h**2 + 24*h - 1026405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 4652.8\nAnswer: 4649.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.755 + -0.045. Let a = g + 7. What is the biggest value in -0.1, -0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -2\/4325, 57.9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.485 - 0.595. Let v = 0.11 + a. Let i(d) = d - 4. Let g be i(0). What is the smallest value in -3\/7, g, v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1140.6 times 1\nAnswer: -1140.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q + 43*q + 170 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 (base 8) in base 6?\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 334.4222 micrometers to kilometers.\nAnswer: 0.0000003344222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -44, -49, -54?\n\"Answer: -5*s - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 + 3 + (-10 - (-4 - -18)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55 + 104. Suppose -4*s - y = -257. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -34726\nAnswer: 5\/17363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 5*m + 2. Let g be d(5). Let x(h) be the second derivative of -5*h + 0 + 2*h**g + 1\/6*h**3. Differentiate x(i) with respect to i.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2554647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 12. Suppose -3 = -3*n + w*n. What is the common denominator of 25\/8 and -14*n*(-5)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*r - c, -3*r - c = -2*r. Let q = r + 10. Solve 0 = -3*x - 2*z + q, 4*x - 4*z = 3 - 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1641457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((5 - (-9 - 3)) + 3).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s**3 + 6*s**3 - 2*s**3)*(3*s + 1 - 1) - 26*s + 27*s + 95*s**4 - 87*s**4 in the form c*s + m*s**4 + q + f*s**2 + i*s**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 - 100 = -10*m. Suppose m*v - 14*v = 1029. Suppose n - 3 = 0, 4*b = 3*b - 2*n + v. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -223 (base 9) in base 4?\nAnswer: -2313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 20*c + 25. Let k(s) = -2*s**2 - 42*s - 52. Let q(t) = 4*k(t) + 9*u(t). What is q(-7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fiiliiolfilflc. Give prob of sequence flo.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2*x + 58, -38*x - 244 = -4*d - 34*x. Calculate the highest common factor of 228 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 15*y**2 + 188*y + 2586. What is j(-18)?\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**4 + 322559*g**3 - 34678102410*g**2 + 1242261896593300*g + 38543454061087000 = 0. What is g?\nAnswer: -31, 107530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/(sqrt(30)\/sqrt(3)) + sqrt(8))*-1.\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 871632586 to the power of 1\/2, to the nearest integer?\nAnswer: 29523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -1a0?\nAnswer: 19a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 170, -23111 in descending order.\nAnswer: 170, -4, -23111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35606 - -5?\nAnswer: -35601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 440390201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 2*f - 3*f + (2 - 15 - 3)*(f + 2*f - 2*f) - f + 2*f + 2*f)*(-3 + 6 - 1 + (-2 - 2 + 6)*(-7 + 2 - 2)).\nAnswer: 192*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.42 - -9. Let t = b - -0.32. Let c be 3\/2*21\/84. What is the fourth biggest value in c, 5, 4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101 - -11001101100001101?\nAnswer: 11001101100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7040043*c**2 + 6*c + 154616721 wrt c.\nAnswer: 14080086*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6156 * -2.8.\nAnswer: 1.72368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -18 (b) 0.2 (c) -31926 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*s, 4*t - 3*s = 3*t + 26. What is the greatest common factor of t and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4*y + 688606 = -2*i, -516452 = -3*y - i. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -1\/2 (c) -2 (d) -1\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 9:45 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14550 - -14549. Which is the second biggest value? (a) 4 (b) 0.3 (c) 0.1 (d) k (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6561\/8780 - -6\/2195. Let d = 86.08 - 86. Which is the nearest to 5? (a) 2 (b) t (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**3 - j**2 + j - 1. Let n be r(1). Let a(v) = -142*v**2 + 14*v. Let l(k) = -52*k**2 + 5*k. Let d(c) = -4*a(c) + 11*l(c). Determine d(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10471057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8*((-3)\/3 + -3). Suppose 5*c - s - 13 = 0. Suppose 3*w + c = -3. Sort 0, w, 3 in decreasing order.\nAnswer: 3, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (114768\/(-5579))\/((-3)\/(42\/4)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4.3 + 14\nAnswer: 18.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 3*w + 2*w - s, -w - 13 = -3*s for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 0*s + 2*s)*(-5 - 2 + 4) - 2 + 1 + 0 + 11*s.\nAnswer: 8*s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1566\/7 - 2\/(-7). Suppose 5*z - 101 = l. What is the remainder when z is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of o**3\/3 + 6751. Let j(q) = q**2. Let g(h) = 170*h**2. Let r(c) = g(c) + 102*j(c). What is r(a(m))?\nAnswer: 272*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -9. Let n(k) = -2 + 8 - 5 - 2*k + k. Let c be n(-7). What is the greatest common factor of t and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25910, -54868, -86868, -121910, -159994, -201120?\nAnswer: -245288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3110, -11868, -26456, -46874, -73122?\nAnswer: -105200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 8:15 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2713.\nAnswer: 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + g + 14 = 6*p, -2*p + 15 = 5*g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51119 is divided by 180?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xfxxfjjxjjxjfjjxxx. What is prob of picking 1 j and 2 x?\nAnswer: 49\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18)\/14 + (-3627)\/3255)*4685\/(-2). Is r less than 5624?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -73 - -145. Suppose -5*q - 4*p + 196 = 0, -5*q + 104 + g = -p. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-32)\/48 + (1\/3 - 0)\/1. Is n != -1852?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35.1 + 34.6. Let k = 1.1 + -0.1. Which is the closest to 1? (a) k (b) 1\/7 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04744 and -0.2838.\nAnswer: -0.013463472","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 4162, 4163, 4164, 4165, 4166, 4167?\nAnswer: 4168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 386591*h - 6572036. Determine z(17).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 91 + -83. What is the smallest common multiple of x and 52?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.067 + -61.933. Let j = -62.000103 - x. What is j rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1)*m**(4\/3))**(-47)*(m*m**(-1))**(-35)*((m*m**(-1\/3))\/m*m)**(-25) assuming m is positive.\nAnswer: m**(-238\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -80 (b) -1 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -753507424 + 0.5.\nAnswer: -753507423.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80*s**4 - 4*s**2 - 14*s**3 - 83*s**4 + s - 5*s - 3*s**2 + 4 - 12*s**2.\nAnswer: -(s + 1)*(s + 2)**2*(3*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/11)*m**(-11))**(-23)*(m**7\/((((m*(m\/m**3)\/m*m)\/m)\/m)\/m))\/((m*m*m\/m**(2\/3)*m*m)\/m)**10 assuming m is positive.\nAnswer: m**(7750\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**3 + 3*a**3 - 2*a**3 + (8*a**2 - 14*a**2 + 9*a**2)*(-2*a - 2*a + 5*a) + 5*a**3 + 2*a**3 + 4*a**3.\nAnswer: 17*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**5\/3 + 162*b**4 + 488*b**3\/3 - 162*b**2 - 487*b\/3 = 0.\nAnswer: -1, 0, 1, 487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -10391*q - 259773. What is i(-25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-6*(sqrt(120)\/sqrt(4) + sqrt(30)) - sqrt(30))\/(sqrt(54)*3) - sqrt(450)\/(sqrt(10)*-1)*5).\nAnswer: 4 + 122*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 4)\/(14\/(-3)). Let d be (-4)\/6 + 15148\/231. Let v = -65 + d. Which is the second biggest value? (a) v (b) x (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 435 - 123. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 250 + -242. Calculate the greatest common factor of r and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2. Let d(m) = m**2 + 59*m - 59*m. What is y(d(o))?\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 3 (c) -2.11 (d) 4 (e) -5\/7 (f) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 10\/9*l**3 - 2\/9*l**4 - 4\/3*l**2 + 0*l.\nAnswer: -2*l**2*(l - 3)*(l - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d**4 + 37*d**3 - 48*d**2 = 0 for d.\nAnswer: -48\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 1) + (195 - 186) + 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dekdwddkskkddoddddk. What is prob of sequence swk?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0)**(16\/3)\/((i\/(i**(1\/8)*i))\/i*i**(-3\/7)))\/(i**(-4)*i\/(i*i**(-3))*(i**(2\/5))**(-3\/49)) assuming i is positive.\nAnswer: i**(5053\/1960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 + 16*c + 11. Let w be d(-10). Suppose 2*f - 85 = w. Let n = f + -60. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1434 - 170 = -3*c - 4*h, -5*c + h = -2658. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/((j\/(j\/(j*j**6))*j)\/j)))\/j*j\/(j*j*j*j**(-2\/37))*j*(j**(-7)\/j)**(-3\/5) assuming j is positive.\nAnswer: j**(1823\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 5 = -4*k - 2*z, -549*k - 551*k + 1099*k + 4 = 3*z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.36 + -1.36. Is w > 3\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 189501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*m + 119 = 60*m. Let g be 2829\/5453 - (-4)\/m. Put -0.1, g, 0.2 in decreasing order.\nAnswer: 0.2, g, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - y + 2*y)*(6*y + 2*y - y).\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 215*b + 190. Let q be o(-4). What is q rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -2\/5 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34879067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362*h + 253*h - 1048 - 1786 = 0 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 0*x**2 + 2*x**2 + 88 - 32. Let s(y) = 2*y**2. Determine h(s(g)).\nAnswer: 8*g**4 + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(-220))\/(20\/(-40))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1.1. Let o = 668\/11 - 61. Let l = 642.6 + -643. Put o, y, l in decreasing order.\nAnswer: y, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.24 - -32.76. Let y = 32.6 - h. Which is the smallest value? (a) 3 (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -0*y + 4*y - 2*g, -3*g - 11 = -y. Calculate the smallest common multiple of y and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1739057368?\nAnswer: 2, 217382171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2. Let n(f) = -9*f**2 + 38. Determine n(g(a)).\nAnswer: -36*a**4 + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2938.0374 microseconds to hours.\nAnswer: 0.0000008161215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13542193239.7 and 4.\nAnswer: 13542193243.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1035)\/(-920)*(-24)\/(-45)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d13 - -12e?\nAnswer: -be5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 4. Let f = 37 + -7. Let l = 30 - f. Let n be 0 + (2 - (l - 1)). Give h(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q + 2*q + 0*q + (461*q - 183*q - 234*q)*(3 - 3 + 1).\nAnswer: 46*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d94e (base 16) in base 7?\nAnswer: -1405215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 240*c*g*m*p - 1130*c*g*p - 16*c*g - 82*c*m*p - 4*c*m - 2*c*p wrt m.\nAnswer: 240*c*g*p - 82*c*p - 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0*(2\/(-2))\/(12\/(36\/3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0.93254586871\nAnswer: -4.06745413129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8188866 milligrams to grams.\nAnswer: 0.0008188866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*sqrt(7))**2 + sqrt(112) + 3.\nAnswer: -81 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.040281 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((1*sqrt(2057))**2 + -3)*2 - (-1 + sqrt(2057) + -2)*-6)*5.\nAnswer: 330*sqrt(17) + 20448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 13*t + 8. Let g be r(10). Let p = -21 - g. Does 26 divide (-9856)\/28*(p\/(-2) - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(2*a - a + 3*a)*(4 - 4 + 1)*(830 - 331 - 1451)*(0 + 3 - 4)*(0 - 3 + 2).\nAnswer: 3808*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/71 (b) -17 (c) -8\/27 (d) 2 (e) 3\/4 (f) 20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 126*r**3 - r**2 - 48*r wrt r.\nAnswer: 756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 543412425 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202021210012 + 121100?\nAnswer: 1202022101112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 5, 3, -5, 38 in increasing order.\nAnswer: -11, -5, 3, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -143617 and -189.\nAnswer: -143806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/246253 and -20\/1651.\nAnswer: 3201289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(1\/4))**(-38)\/(r*r**(-1\/4))**(-38) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**0\/(n**2*n)*(n**0*n)**(-48) assuming n is positive.\nAnswer: n**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1620 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*v*z**3 - 19*v*z**2 - 1864378*v*z - 3*v + 9012*z**3 + 50*z**2 - 14*z wrt z.\nAnswer: 12*v*z - 38*v + 54072*z + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/215821, -2, -0.3, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 8*b**2 - 3*b - 8. Let v be a(7). Calculate the greatest common divisor of v and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**4\/7 + 652*w**3\/7 + 5165*w**2\/7 + 8378*w\/7 + 552 = 0.\nAnswer: -644, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 0*u - 1\/60*u**5 - 118*u**2 + 0 - 3\/4*u**4 + 0*u**3. Find g, given that q(g) = 0.\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 1143?\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m + 9. Let f be d(6). Let x be (-3 - 4) + 2 + f. Let c be (-2)\/(-8) - 38\/x. Solve -3*s - c = 7 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 77, 111, 147, 185, 225, 267, 311?\n\"Answer: d**2 + 31*d + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -202 (base 3) in base 4?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*q = -8. Let n be 21\/14*3*2. Let g(a) = 8*a - 108. Let i be g(16). Solve q*v = n*v + i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 + 0 + 0*l**2 - l**3 + 0 in the form w*l**2 + d + o*l + m*l**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447 is divided by 403?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 3. Suppose 4*t - c = -32. Let j = t + 24. Does 17 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - ((-2 - 0) + 2). Let g(o) = -5 - 12 + 16 + o**3 + 4*o**2 + 2*o. Let r be g(x). Which is smaller: r or 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1519 (b) -0.5 (c) 1\/2 (d) -0.9 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*g + 1095 - 666 + 1889 = 0 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -7*c - 8. Let k = 57 + -32. What is the remainder when k is divided by -8 + 6 - (-7 + c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68960 and 400.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2016585733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 134 + -9518.\nAnswer: -9384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12003 - 11997. Which is the smallest value? (a) -1\/5 (b) -1\/2 (c) -1 (d) 1\/3 (e) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -100 - -103. Let d be t + ((-20)\/(-5))\/(-1). Calculate the common denominator of 59\/4 and (-1 - -2 - d) + (-195)\/18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/((-84)\/218) - 6\/(-14). Let f be 1*(3*1)\/(21 - r). Which is the closest to -2? (a) 3 (b) f (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2. Let n(y) = 1. Let s(v) = -3*v**2 - 3. Suppose 0 = 5*j + 9 - 4. Let l(t) = j*s(t) - 3*n(t). Give l(c(o)).\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -740, -1987, -3036, -3887, -4540, -4995?\nAnswer: -5252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 238\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(272) - (sqrt(272) + 2)) + -4*-1*sqrt(272))**2 - ((sqrt(1088)*-3)**2 + -5)*2)*2.\nAnswer: -30436 + 128*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2746409 - -3?\nAnswer: 274640c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -z - 17, -4*k - 2*z + 8 = -6*z for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 8.73257 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 41096730500 rounded to the nearest one million?\nAnswer: 41097000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 18 - 54*m**2 - 3*m + 111*m**2 - 4 - 59*m**2. Let j(a) = 2*a**2 + 2*a - 12. Let r(n) = -3*j(n) - 2*t(n). Let r(h) = 0. Calculate h.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 465581246 to the nearest integer?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584 is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - n + 3 - 14 + 14 - 5*n - n - 4*n + 7*n + (-7 + 4 + 1)*(4*n - 5*n + 3*n) in the form y*n + q and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 1\/5 (c) 34149707\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 226, 951, 2226, 4105, 6642, 9891?\nAnswer: 13906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/31? (a) 2.7 (b) 2\/7 (c) -1\/4 (d) 12 (e) -2\/17 (f) 10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 503563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1471772*o + 998726 wrt o.\nAnswer: -1471772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 122.2 + -122. Let s be 1 + 0 - 153\/135. Which is the third biggest value? (a) 1\/7 (b) -5 (c) y (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 11:52 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1025922?\nAnswer: 2, 3, 163, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 6*f - 14. Let q(n) = 4*n + 35. Let z be q(-10). What is w(z)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**6*k\/((k*k**3)\/k)*k)\/(k**(-1\/4)*k**(-4\/5)) assuming k is positive.\nAnswer: k**(141\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/1709764 and 71\/39952.\nAnswer: 75229616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1 + 5)*128\/(-168) and -69\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 989.2288 centuries?\nAnswer: 98.92288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 11:39 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 11229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 + (13 - -7) + -23 - (-12 - 0)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/1225)\/((-4)\/40*2).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/9))**(-7)\/((a*a\/(a\/(a**(-1\/3)*a*a)))\/a)**(2\/151))\/((a**(2\/7))**(-45)\/(a**(2\/3)\/(a**(1\/7)*a*a))) assuming a is positive.\nAnswer: a**(93259\/9513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 + 6432*o + 1707616.\nAnswer: 2*(o + 292)*(o + 2924)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*r - 387630*r**3 - 119*r + 387654*r**3.\nAnswer: 24*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8006\/325 >= 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*k**4 - 3*k**4 - 2*k**4 - 5*k - 5*k**4 + 5*k + (k**2 - 2*k**2 - k**2)*(k**2 - 2*k**2 + 0*k**2) - 5*k**4 + 4*k**4 - 2*k**4.\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40557*m**2 + 404*m + 3 wrt m?\nAnswer: 81114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d - 6*d + 3*d - 21 + 21.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*v**2 - 108 + 108.\nAnswer: -35*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 12:51 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 110062*w**3 - 169*w**2.\nAnswer: 660372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 13344*o + 13335*o - 2512*o**2 - 40014*o + 13335*o. Let x(q) = -q**2. Determine g(x(w)).\nAnswer: -2512*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/2)\/(8\/(-32)*-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13605278?\nAnswer: 2, 47, 144737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 639 - 635. Which is the third biggest value? (a) l (b) 2 (c) 2\/7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-12)\/(-10))\/(96\/60))\/(-3). Let d(z) = z**3 + 7*z**2 + 6*z. Let o be d(-6). Is c > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 + 38. Suppose 0 = 2*x + 3*s - 38, a*x + s - 6*s = 95. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 91211 and -1.04.\nAnswer: -94859.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5*n**3 + n**2 - 10*n + 10. Calculate w(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 1 = s - 2*d, -s + 5*d + 5 = 0. Let u be (-4)\/(-10) + (-3)\/s. What is the remainder when ((-4)\/(-8))\/(u\/90) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/8, -2\/239, -3, -1\/2, 2\/17?\nAnswer: -2\/239","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/4 - 3*v**2 - v\/4 + 33.\nAnswer: (v - 11)*(v - 4)*(v + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(270)*2)\/(sqrt(486)*-2 + sqrt(6)))\/(((sqrt(9) - sqrt(18)\/(-1*sqrt(2))) + -5*(sqrt(18)\/sqrt(2) + sqrt(9)))*-2).\nAnswer: -sqrt(5)\/136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 14*j**4\/3 - 5*j**3\/6 + 7*j**2 + 7. Let f(m) = 3*m. What is f(a(r))?\nAnswer: 336*r - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**2 + 407*q + 7 - 408*q + 4*q**2.\nAnswer: 4*q**2 - q + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10178 and 10178?\nAnswer: 10178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91650 and 12515100.\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 19*c**3 - 4884*c**2 + 254*c + 773. What is the lowest common multiple of a(257) and ((-50)\/3)\/(2\/(-24))?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.078 - -34.078. Let u = -33 + s. Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 4:06 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*n = -9*n - 2332. Suppose p + l = 397, 0 = -p + 4*l + n + 276. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + 1638\/(-24) + 10\/8. Let x = 152 + y. Calculate the greatest common divisor of 247 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 157, 312, 467, 622, 777, 932?\n\"Answer: 155*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = -10*d + 141. What is the remainder when 56 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9729924 centuries in millennia?\nAnswer: 0.09729924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10249 - 9378 = 538*p + 328*p + 34065 for p.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbc when three letters picked without replacement from {b: 9, c: 5}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**2\/7 - 8786*d\/7 - 8788\/7 = 0.\nAnswer: -1, 4394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 800*t**2\/13 + 117360*t\/13 + 4304178\/13 = 0. What is t?\nAnswer: -1467\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2310524, -4621023, -6931522, -9242021?\nAnswer: -11552520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + w - 7 + (0 - 5 + 3)*(0*w + w + w) + 4*w - 2*w - w)*(-4*w**4 + 4*w**4 - 2*w**4).\nAnswer: 4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 723\/(-78)*960\/1320 + (26\/(-22) - -1)?\nAnswer: -90\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 269852385 and 53970477.\nAnswer: 269852385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 9:31 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 7*q**2 - 7*q + 14. Let j be z(6). Let i = j - -27. Round i to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155080873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -152, -4, 1\/11 in increasing order.\nAnswer: -152, -4, -1, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 - 42. Solve z*w = -2*w - 24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -15*q - 5. Let y be m(-3). Let p = 107 - y. List the prime factors of p.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58)\/6 + 9 - 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 68*q**2 + 2039*q + 2039. What is b(-1)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 29\/2 (b) -3 (c) -2\/7 (d) -0.0738 (e) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -60 in increasing order.\nAnswer: -60, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 0)*(-696)\/42*(502\/(-12) - -43).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**3 - 2718*f**2 + 17529*f wrt f?\nAnswer: -6*f - 5436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 0 + 1\/3*n**3 - 5\/12*n**4 + 7\/30*n**5 - 1\/20*n**6 + n**2 + 5*n. Let b(s) be the first derivative of x(s). Factor b(h).\nAnswer: -2*(h - 1)**2*(3*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226 = -o + 5*z - z, -4*z = -2*o + 436. What is the greatest common factor of o and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -73\/44, 0.3, 9\/2, -2 in increasing order.\nAnswer: -2, -73\/44, 1\/7, 0.3, 9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -38*d + 63. Let a be y(-6). Let w(n) = -n**3 + 12*n**2 + 8*n - 5. Let k be w(7). Factor 20*c - 13 - 7 + a*c**2 - k*c**2.\nAnswer: -5*(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.43 + 8.43. Put k, 1, -3 in descending order.\nAnswer: k, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**3*x**2 - 86*j**2*x**2 + 43*j*x**2 + 2*j wrt j.\nAnswer: -6*j*x**2 - 172*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1243 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54694 by -41.\nAnswer: 1334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/7)\/((-8)\/(-28)). Suppose 3*t + 3 = 4*p, 0*p - 5*p + 10 = -5*t. Which is the second biggest value? (a) p (b) -3\/7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 154 - 158. Put p, 0.5, -0.4 in decreasing order.\nAnswer: 0.5, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 112 - 107. Let w(t) = 4*t - 15. Let m(b) = 3*b**2 - b. Calculate the remainder when w(p) is divided by m(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 305 + 580. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 2 - 2)*(-4025*n**2 + 73 + 54 + 4031*n**2).\nAnswer: -12*n**3 - 254*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -267 - -267.2. Let p = -3 + 3.1. Let r be (-4)\/(-14) - (0 - 0). What is the biggest value in r, f, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*b - 16 = -92*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 - 160 - h + 154 - 14*h. Let y be f(-7). Solve 0 = z + y for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2*2*165\/30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - b + 2*b**2)*(-515*b**2 + 520*b**2 + 2 - 1) + (-b**2 + 2*b**2 - 2*b**2)*(-4*b**2 + 5*b**2 + 0*b**2) - 3*b**4 + b**4 + b**4.\nAnswer: 8*b**4 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 6*d**2 + d - 2. Let c be y(-5). Let w = 81 + -63. What is the greatest common factor of w and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 10 = 6*q + 4*h, -4*q - 20 = 3*h. Let k = -9 - q. Let g(n) = -n - 1. List the prime factors of g(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7649 + -936. Is 45 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**3 + 5*o**2 - 629*o - 3312. Calculate k(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 1:41 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 75255, 75100, 74959, 74838, 74743, 74680?\n\"Answer: f**3 + f**2 - 165*f + 75418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*b**2 + b + 5*b**3 - 24*b**2 + 3 - 3*b**3 in the form g*b**2 + m*b**3 + q*b + o and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 120 divided by -15\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.903 + 1. Let s = -0.0137 + 0.0997. Let p = s - k. What is p rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2. Suppose g = 5*g - 8. Let i(u) be the second derivative of 0*u**3 + 2*u - 1\/6*u**4 + 0*u**g + 0. What is i(s(m))?\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - c - 1. Let j(r) = -4*r**4 + 10*r**3 - 24*r**2 + 18*r + 22. Let n(k) = 2*j(k) + 44*m(k). Find b such that n(b) = 0.\nAnswer: -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -6.7.\nAnswer: 2.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*r - 40 = -48*r + 4*c, 5*r + 3*c = -63 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -27. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttfftrftfttttr. What is prob of sequence ffrr?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/84*4*-1*2181. Let u = -932 + g. What is the common denominator of u and -107\/190?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.358 + -0.018. Let v = t + -0.37. Let y = 0.119 + v. What is y rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 11:35 PM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -h - 8, -2*h - 5 = 2*r + 3. Suppose -3*f + 40 = 2*g, -44 = -4*f + g + g. Solve -f = -l + 4*j, -4*j - 2 = l + r for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161884779 divided by 329.\nAnswer: 492051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/20 and 520\/16*(-1)\/(-90)*21.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -43*x**5\/60 - x**4\/12 + x**3 - 7*x**2. Let m = -69 - -63. Let n be k(m). Round n to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -4\/7 (b) -1\/2 (c) 0 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544*p = -639*p - 5600 + 945 for p.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 153 (c) -4.1 (d) -0.5 (e) -404\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f + 20. Let t be i(-9). Suppose -5*j - 170 = -2*g, t*g - 4*g = 5*j - 130. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 787*w = 782*w - 42, 3*j - 18*w - 147 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 18*b**2 + 42*b - 13. What is the least common multiple of f(20) and 23 - (1 - (-3 + 4) - 1)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219350?\nAnswer: 2, 5, 41, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -447 - 446 + 130*z + 897 + 8*z.\nAnswer: 138*z + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 9 = -3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i - 2. Let m be j(5). Let k be 3\/(2 - (-38)\/(-16)). Let l = k - -11. Solve -m*d + l = -3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 225656 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 110 + 110)*(-2*h + h**3 + 2*h) + 0*h**2 + 0*h**2 - 2*h**4.\nAnswer: -h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 539\/765, 5\/6 in descending order.\nAnswer: 21, 5\/6, 539\/765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11 + 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -83170\/4049?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 139451577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 1 - 9. Let x = -0.14 - 0.085. Let n = -0.075 + x. Which is the fourth biggest value? (a) -0.1 (b) n (c) h (d) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -4\/183568229?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*s - 10, -2*f - 3*s - 2*s = 13. Let y be -23 + 29 - f*-1. Suppose 0 = -4*b + y*b - 186. What are the prime factors of b?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 416*q**3 + 112*q**2 + 56. Let p(x) = -22*x**3 - 6*x**2 - 3. Give 112*p(v) + 6*s(v).\nAnswer: 32*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/16281 and 89\/196176.\nAnswer: 15890256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -52455.\nAnswer: 4\/52455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -216 + 233. Suppose 29*u - q*u - 96 = 0. Suppose d - 2*x = 26, 0*x - 110 = -4*d + 5*x. What is the remainder when d is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2322 and 33426.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.4 (b) -0.15 (c) -3 (d) 6.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(60)\/sqrt(160)).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 226583*m*u*y**3 - 131*m*u*y + 32*m*u + m*y - 113*u*y**3 - 240*u*y**2 - 2*u*y wrt y?\nAnswer: 1359498*m*u - 678*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460 is divided by (-18)\/(-15) + (-9639)\/(-105).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 + -1 - (-1 - -3). Suppose -6*g + b*g = 0. Solve -3*l - l = g for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3996 and 0.6?\nAnswer: 2397.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -25 (b) -31 (c) 5 (d) 0.1 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 2*k + 2*k)*(4 - 3 + 0) + k - 2*k + 0*k - 4*k + 3*k + 0*k + 142 + 104*k - 142 + (6 - 1 - 3)*(-3*k + 0*k + k).\nAnswer: 96*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*r - 824 = 0, 6*r - 438 = -2*d + 2*r. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -330 + (-1 - 3\/(-3)). Let z be (-3 - 798\/m) + 2\/5. Which is the nearest to z? (a) 0.3 (b) -1\/8 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32902030103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + w = -3. Calculate the remainder when w*3*(2478\/18)\/7 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttbtlblfbtfflxlbvt. What is prob of sequence xtb?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 311\/261 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 2)\/(-1 + 2). Suppose 0*k - 4 = k. Sort k, -2, g.\nAnswer: k, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + y + 96 = 0. Calculate the greatest common divisor of 4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 0 - 2*a**2 + 1\/8*a**4 - 1\/6*a**3 - 13*a. Let i(u) be the first derivative of n(u). What is i(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2773 is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 586743376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -89 + 95. List the prime factors of (((-288)\/7)\/b)\/(1\/(-7)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15889?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - 0 - -79 - -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 43868537 to the nearest 1000000.\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -9. Let n = -0.01 - -5.01. Let m = n + q. Which is the nearest to -0.1? (a) m (b) 1\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) -0.1 (c) -2\/9 (d) -1976\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4210021 is divided by 364?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 535765483?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5242 + -4619. Solve 0 = 619*t - n*t - 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -48 + 54 + -8.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -160, -5, -1, 4 in decreasing order.\nAnswer: 5, 4, -1, -5, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -143, -312, -509, -740, -1011?\n\"Answer: -g**3 - 8*g**2 - 138*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -281, -316, -351, -386, -421?\nAnswer: -456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/14)\/(9*(-5)\/(-105))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3681.363ml in litres?\nAnswer: 3.681363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -70\/12543863 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 69?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*n - 24*n - 43 + 138 + (0 + 3 - 5)*(2 - 2*n - 2) + 3*n - 6*n - 5*n to the form s + x*n and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1990083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 82463178 to the power of 1\/3, to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a**5 + 2154*a**4 + 24828*a**3 - 83898*a**2 - 30645*a = 0. Calculate a.\nAnswer: -227, -15, -1\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 513, -778, -2069?\n\"Answer: -1291*y + 1804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/174 and 131\/1848402.\nAnswer: 1848402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-4) + 6\/21*9. What is the smallest value in r, 0.5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 3*a. Suppose 2*w - 2 = v, 4*w - 2*v = 2*v - 4. Let t be o(w). Solve t = -b - 2*b + 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3015, 5823, 8741, 11769?\nAnswer: 14907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -170, -166, -162, -158, -154, -150?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22417 is divided by 340.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -70\/81 and -41\/3390312.\nAnswer: 91538424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j + 9. Let q(d) = 280. Let z(w) = 37. Let y(k) = 2*q(k) - 15*z(k). Give 3*b(f) - 5*y(f).\nAnswer: 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 5:20 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 46?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, f: 4, h: 2}. Give prob of picking 2 b and 2 f.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 8. Suppose 0 = h - 16 + 3. Let r(n) = 2*n + 17. Determine h*t(l) - 6*r(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 18*p**2 - 7*p - 6. Let q be g(-4). Let n be (-5)\/(-20) - q\/(-8). Let r = 59 - 33. Calculate the highest common divisor of r and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2780332 and 211547.\nAnswer: 19462324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 250 (b) 2\/31 (c) 1\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 191.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-1)*2*10*(-72)\/270.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5236?\nAnswer: 2, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12003708323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pph when three letters picked without replacement from {h: 2, p: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*r**2 + 48*r**2 + 46*r**2 + 49*r**2 - 196*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -10*n + 1. Let g be (0 - -1)*(-3 + 2). What is the units digit of p(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2415351 * -0.06.\nAnswer: 0.014492106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 5 = z. Let d(o) = -o**3 + 4*o**2. Let g be d(4). Suppose g*q = -4*q + 68. What is the greatest common factor of z and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2220 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 5 - (3 - (1 + 1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2044 and 365.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -612215.99 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-48)*-12 - (9 - (5 - 1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311 (base 7) to base 11.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + sqrt(1216) - sqrt(19) - sqrt(19)).\nAnswer: 1 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 3*s + 1. Let o(b) = b**2 - 9*b + 8. Let t be o(6). Let q = -2 + t. Let u be (-3)\/q + (285\/12)\/5. What is k(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, -2, 2\/17.\nAnswer: -4, -2, 2\/17, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -8 + (16 - 12)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - (-11 - (2 + 5 + -9))) + 42 + 2?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffe when three letters picked without replacement from {o: 9, s: 3, f: 2, e: 1, a: 4}.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 14.08047.\nAnswer: 15.08047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9660\/193 = 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -204327*q**5 - 38*q + 2728.\nAnswer: -4086540*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 14228?\nAnswer: 56912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 1820100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 374157, 1496566, 3367247, 5986200, 9353425, 13468922?\n\"Answer: 374136*y**2 + y + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 15*x**2 + 2*x + 27. Give b(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 + 3 + 0)*1. Let d = 7\/4 + -2. Let s = 826.3 + -826. Which is the nearest to d? (a) -2 (b) s (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -168277\/35217 - -2\/3913. Let a be 4214\/(-784) - 6\/(-16). Is a equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 376222?\nAnswer: 2, 7, 11, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 208, -1, -33 in increasing order.\nAnswer: -33, -1, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 1 - 5. Let y be 155\/15 + 2\/g. Let x be 121\/(-2 + 0 + 3). Calculate the greatest common divisor of x and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*(d\/((d*d*d**(6\/11)*d)\/d))\/d)\/(d*d*((d\/(d*d**36))\/d)\/d*d*d)*(d**(-2\/5)\/d)**5 assuming d is positive.\nAnswer: d**(291\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35786935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of b**4\/12 - 7*b**3\/6 + 9*b**2 + 201*b. What is s(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -11*y**2 - 13*y. Let s(w) = 5*w**2 + 6*w. Let a(c) = -13*s(c) - 6*x(c). Let v(k) be the second derivative of 0*k**2 + 0 + k - 5\/2*k**3. Give a(v(o)).\nAnswer: 225*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 8*b = 0. Which is bigger: b or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + j - 172, -5*j + 49 - 201 = -3*s. Suppose 4*f + s + 8 = 0. Let m = 18 + f. Solve -m = -3*k - 2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1819 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/11, 445, 191\/22, 2?\nAnswer: 191\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17.02 - -0.02. Let h = p + 17.5. Which is the closest to 0.1? (a) h (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/3*6\/7. Suppose -j = 3*l + 6 - 17, 5*j - 19 = -3*l. Factor 0 + 2\/7*h**4 - q*h**2 + 0*h + 0*h**l.\nAnswer: 2*h**2*(h - 1)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 971257, 1942631, 2914005, 3885379, 4856753, 5828127?\n\"Answer: 971374*j - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**3 - 13*r**2 + 2*r + 11. Let x be a(9). Suppose 5*f = 106 + x. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*s**2 - 380 + 56*s**2 + 375 as v*s + c + g*s**2 and give g.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 11 = 2*v, -3*v + 4*j = -4*v. Suppose -2*z - v*o = -160, z + 330 = 5*z + 3*o. Let t be (2 + z\/(-44))\/(-1). Is -1 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13307254372*q**3 + 13307254353*q**3 - 26614508738*q**3.\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 233 + -230. Suppose 0 = 3*o - s*p + 49 - 316, -87 = -o + 2*p. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 279+0.376\nAnswer: 279.376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 3 (c) 635\/7 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30585 and 6.\nAnswer: 183510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250262350?\nAnswer: 2, 5, 13, 521, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4)*10*1. Suppose -30 = -5*q + 3*q. Let l be 18\/(-5) - 6\/q. Which is smaller: h or l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271 - 148 = -s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 0 + 1 - a + 3*a + 4*a**2 + 0. Let t be z(2). Suppose -5*g + 69 = -t. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/175)\/((-1)\/(-1))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12102202 + -2?\nAnswer: 12102200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 + 129 - 8*s - 61.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbw when three letters picked without replacement from {j: 1, b: 1, w: 2, f: 1, k: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1146785.738 rounded to the nearest one hundred?\nAnswer: -1146800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/25)\/(5320\/(-34200))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373 is divided by 150?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11688 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 180.3 + 33.7. Let k = -213.5 + q. Let i be 4\/5*(-25)\/(-10). Sort -0.5, k, i, 1\/5 in descending order.\nAnswer: i, k, 1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 - (26\/(-26))\/(2\/11228012). What is p rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33\/(1749\/(-530))*10\/4\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 17.9. Suppose 0 = 9*u - 12*u - 135. Let m = -42 - u. What is the closest to s in 0, m, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssjsssssjssjs. What is prob of sequence jjs?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + h - h + (3*h - 6*h + 2*h)*(2*h + h - 5*h))*(3 - 3 + 2)*(-8 - 17 + 21).\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3433519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 795 and 555.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 1 + 2)*(808 - 808 + 2061*z).\nAnswer: -14427*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3106\/49 bigger than 62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 367 - 364. Suppose -i*t = -2*g - 3550, -4*t - 6*g + g + 4695 = 0. List the prime factors of t.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 - 13*v - 73. Let x be z(10). What is the nearest to 0.1 in -1\/5, 5, x?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 108128*a**2*n**2 - 47933*a**2*n - 3*n wrt n?\nAnswer: 216256*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3765 a factor of 326474445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2. Let o(m) = -m - 50 + 50. Calculate o(v(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1402 (base 5) in base 4?\nAnswer: 3203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 429*r**3 + 431*r**3 - 864*r**3 + 485*r**2 - 254*r**2 - 249*r**2.\nAnswer: -4*r**3 - 18*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + d. Let c be o(2). Let k(x) = -x**3 - 4*x**2 + 3*x - 5. Let a be k(c). Calculate the highest common divisor of a and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -147, -144, -139, -132?\n\"Answer: w**2 - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - u - 10. Let l be f(0). Let d = l - -10. Solve -3*h + 4 + 2 = d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 465313.\nAnswer: 2791878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -620*-1.8.\nAnswer: 1116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/25 and 1\/((-6)\/(-37)) - (-60)\/(-20)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 8412703.\nAnswer: -42063515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 + 50 + 10*u**2.\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4795 - -4757. Which is the closest to f? (a) -1\/8 (b) -0.5 (c) -0.03 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 2. Let m = o + 1. Let k = 0 + m. What is the closest to k in 0, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -4. Is c + -4 - 4 - -33 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4936029 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 14 (c) -10\/177 (d) -0.4 (e) -1\/2 (f) -5 (g) -0.2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - n = 0. Suppose n = s - 1 - 1, -2*y = -4*s + 12. What is the units digit of (-2*y\/(-4))\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 11*g + 242. Let o be h(-22). Suppose 6*m - 8*m - i = -9, 4*m + 4*i - 20 = o. Solve -m*w + 3 = -y, y = -3*w - 1 + 12 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 289893 and 1775?\nAnswer: 7247325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 48*l**2 + 62*l - 480. Is h(-37) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**42)**(-8)*b**(-29)\/(b\/b**(2\/179)*b) assuming b is positive.\nAnswer: b**(-67123\/179)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -44653 + 341?\nAnswer: -44312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 733 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.06 + -0.44. Let k = i + 0.08. Let j = -0.3 - k. Put -0.1, 3, j in ascending order.\nAnswer: -0.1, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*u - 6346 = 0, 909*u = -5*i + 906*u + 31604. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5854.478 centuries?\nAnswer: 7025373.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 9714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.13 - 42.87. Let k = 44 + m. Put k, 1\/24, 1\/8 in increasing order.\nAnswer: 1\/24, 1\/8, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 10:58 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 + o - 7. Let z be s(-3). Suppose -7*t = -z*t + 923. Let w be 2\/6 - t\/(-39). What is the highest common divisor of 24 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 352974995 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10012404 (base 5) in base 11?\nAnswer: 54483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28.98 + -28.9. Which is the closest to 3? (a) -2\/11 (b) f (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 4 (b) -2\/33 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.6 - -0.9. Let r = -8 + c. Is 2 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11*((2 - 2) + -3). Let m be (-159)\/q + -5 - (-10)\/176. Which is the closest to -0.1? (a) 5 (b) 17 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1510074?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18251 = 98*y + 15899 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((0 + -2)\/(-18))\/(628\/(-48) - -13). Suppose 2 - 82 = 4*u. Which is the third smallest value? (a) l (b) u (c) 1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -114563?\nAnswer: -1\/114563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33986759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - h + 396 = 0. Let v = 439 + h. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1268 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 78, 148, 216, 282?\n\"Answer: -g**2 + 73*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 4:57 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 7, 5, -24, 0 in descending order.\nAnswer: 7, 5, 4, 0, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 3*x**2 + 2*x. What is the lowest common multiple of r(-4) and 5 - (-3 - -2 - 6)?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -15.5015 and -0.14.\nAnswer: -15.6415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4466 + 6646. Calculate the greatest common divisor of x and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86360.03l in millilitres?\nAnswer: 86360030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6569790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -3 (c) -4 (d) -9 (e) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 642547501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -210*((-8442)\/3685)\/126?\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*(k*k\/(((k**(2\/5)*k)\/k)\/k))\/k*k))**40*(k*((k**(1\/2)*k)\/k)\/k)**2 assuming k is positive.\nAnswer: k**(-103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3, -4*i - 71 = 2*y - 213. Find the common denominator of 29\/3 and -1 + 2 - y\/(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 70 = -2*z, -5*q + 15*z + 87 = 13*z. Solve 16*v - q = 33*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31\/20 - -9\/5. Let m be (3\/(-42))\/((-12)\/42). What is the nearest to m in 0, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 2:24 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (5 + -6*8)\/(-1) is divided by (-3)\/(-4) + (-85)\/(-4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 5*d - 25 = 3, -4*m - 5*d - 13 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 5*s + 75, 3*a - 20 = 4*s + 20. Let l(h) = -6*h**2 - h**3 + 5*h - h**2 + 2*h - 8 - h. What is the smallest common multiple of a and l(-8)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2319768 - -2319752.99983. Let p = 0.1079 + 14.8921. Let x = p + i. What is x rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -357. Let z = 337 + m. Which is the third biggest value? (a) 1\/2 (b) 1 (c) z (d) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 39946697*s. Let u(z) = 3*z**2. Calculate u(q(d)).\nAnswer: 4787215803629427*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/25 - (-2887)\/(-9590)*-2. Does 0 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 3*l - 21, -169*l + 165*l + 28 = -5*i. Let w = -103\/3 + 34. Does w = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 326*g**2 + 125 - 125 + 53*g**2 in the form b*g**2 + w + v*g and give b.\nAnswer: 379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -4\/3 (c) -3 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - -18. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 496431478?\nAnswer: 2, 248215739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**2 - 467*w - 12061. Determine s(-122).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15, -29, 2\/15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(-2\/7))**(-33))**(-5))**(-42))**(-35) assuming p is positive.\nAnswer: p**(-69300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from 2284.058856.\nAnswer: 2278.058856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147686 and 154262.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 3:25 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -6*r**2 + 1525*r - 12475. What is m(246)?\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence unuo when four letters picked without replacement from {o: 1, w: 5, p: 2, n: 3, u: 3, i: 1}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210 - 1132320?\nAnswer: -1132110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -8*o**3 - 6*o**2 + 5*o + 10. Let c(z) = 9*z**3 + 7*z**2 - 6*z - 9. Give -6*c(t) - 7*n(t).\nAnswer: 2*t**3 + t - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.8 + -0.8. Let p = 0 - d. Let z = -1.2 + 1.1. Which is the nearest to z? (a) p (b) 2\/5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66495796 is divided by 1090095?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 2 - 2. Solve -3*m**4 - 91*m + 308*m**3 + 267*m + 20*m**5 - 344*m**f - 32 - 125*m**4 = 0 for m.\nAnswer: 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4785.6 + -3619. What is m rounded to the nearest ten?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -4*y + 348. Find the third derivative of -93*r**2 + 2 - 2*r**3 - 2 + y*r**2 wrt r.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 + 49 = 12*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(12\/(-6)) + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*j**2*w - 2*j**2 + 89679*j*w + 97739*j wrt w?\nAnswer: -2*j**2 + 89679*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.1 - 36.9. Let u = 37 + c. What is the nearest to 2 in u, -0.01, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.211 + 0.211. Let y = a - -0.1. What is the nearest to y in -1.2, 0.2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(3\/4)))\/y**(-5))\/((y**0\/y)\/y**(1\/2))*(y**5\/(y*y*y**0))**(-20) assuming y is positive.\nAnswer: y**(-217\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -198004*o. Let t(l) = 3*l**2. Determine j(t(y)).\nAnswer: -594012*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -154 - 14*g**2 + 154 to the form v*g + r*g**2 + u and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5407, 10828, 16249, 21670, 27091?\nAnswer: 32512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 549.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 8 - 8)*(-k**4 + 5*k**4 - 3*k**4) + (k**3 + k - k)*(-k + 0*k + 0*k).\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -1\/2*f**2 - 7*f - 1. List the prime factors of b(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 3*p - 26 = 0, 9*p - 8*p = -x + 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -183 + 192. Suppose y = -3*m, -5*o - m + 256 + 261 = 0. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -38\/23, -3.\nAnswer: -3, -38\/23, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 209 + 82. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 87*z**6 + 14*z**3 - 170*z**6 + 85*z**6 - 1 - 248*z**3 + 5 - 6*z**2 wrt z?\nAnswer: 240*z**3 - 1404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1037 smaller than -1034?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -10156.049 to the nearest one hundred.\nAnswer: -10200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209*q**2 + 371*q**3 + 372*q**3 + 375*q**3 - 1849*q**3 + 371*q**3 + 361*q**3.\nAnswer: q**3 - 209*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 643670899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 923.\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.07 - -0.63. Let v = 2.7 - u. Let f be 3*4\/72*(5 - 1). Which is the closest to f? (a) 2\/19 (b) v (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 - 27*l + 18. Let n be u(13). Suppose n*h - 886 - 479 = 0. Let z = -47 - h. Round z to the nearest 10.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185175889.\nAnswer: 185175889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 52*t**3 + 52*t**2 + 899 wrt t?\nAnswer: 156*t**2 + 104*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 4087440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1\/4 (b) -5 (c) -1.25 (d) 17\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -2*y**3\/3 + 19*y**2 + 56*y. Differentiate o(v) with respect to v.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 7*p - 206. Calculate the remainder when 316 is divided by p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*(1*sqrt(128) + sqrt(128))*5 + 3)**2.\nAnswer: 8640*sqrt(2) + 4147209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from itqitzttt. Give prob of picking 1 q and 1 t.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o**2 - 3*o - 4. Let y be (0 + -1)*(-2 - -1). Let g(q) = q**2 - q - 1. Let m(i) = i - 6. Let j be m(7). Let l = -3 + j. What is l*g(f) + y*x(f)?\nAnswer: f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*g - 54, -5*v - 1 = 4. Let j = -10 - g. What is the highest common divisor of j and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1094759\/131 + -8357. Is u greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -71.2 and 1.53425?\nAnswer: -109.2386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-14))\/((-1)\/(-1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 938*o**2 - 14*o**2 - 281*o**2 - 308*o**2.\nAnswer: 335*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4326 (b) -2 (c) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 4, -1, -3\/13, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*l = -2*l, 3*c = l - 20. List the prime factors of 5\/(15\/57) + c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1469, -2932, -4389, -5840, -7285, -8724, -10157?\nAnswer: -11584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j + 0*j - j)*(0*j + 0*j + j**2) - 213*j**2 - j**3 + 205*j**2 - 169*j**2 as w*j**2 + q*j**3 + h + s*j and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 129, 5, -64, -2, 4, 264.\nAnswer: -64, -2, 4, 5, 129, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -524.7609 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 + 7*f**2 - 9*f**2 - 25 + (-f + 13 + 0*f - 14)*(-3*f - 2*f + 7*f) as g*f**2 + t*f + r and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 8*a + 22. Suppose -a*u = -4*u - 8. Solve 20 = u*o - 8*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**5\/19 - 478*c**4\/19 + 29642*c**3\/19 - 118770*c**2\/19 - 1118988*c\/19 + 4599504\/19 = 0.\nAnswer: -6, 4, 7, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*h + 15, 0 = -2*f + 6*f + 2*h - 18. Suppose -a + 20 = f*a. Suppose 26 + 4 = a*j. What is the least common multiple of 2 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*t = -2*t - 10, 10 = 5*a + 2*t. Let x(u) = -u**3 + u**2 + 7. Let w be x(a). Let j = 2 + w. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 12*i - 32. Let v be t(-6). Solve 3*p + 11 = n, -3*p - n - v - 9 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*m = -2, 5*m + 45 - 15 = 2*p. Let g(v) = -v - 14. Let f be g(-8). Sort p, -5, f, -2 in decreasing order.\nAnswer: p, -2, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 643231 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1228056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 3. Let w be (10\/15)\/(t\/(-24)). Is (-53)\/(-4) - 2\/w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11150 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: Simplify 3*((-3*sqrt(14)*4)\/(sqrt(2) - ((sqrt(288)*5 - sqrt(288)) + sqrt(288))) + -4).\nAnswer: -12 + 36*sqrt(7)\/59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -16*p - 1. Let g be m(6). Let i = -94 - g. Suppose o - 4*o + 6 = -s, -i*o = 3*s - 6. What is the third smallest value in o, -1, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*a + 2724 = -40*a - 4402. Calculate the remainder when a is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -22508*a. Let c(q) = q. What is n(c(j))?\nAnswer: -22508*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 + 13*h - 6. Let r = -44 - -44. Suppose r = 2*o + 8, 4*o = -2*b - 6 - 6. Let g(z) = z**2 + 4*z - 2. Determine b*s(c) - 7*g(c).\nAnswer: -3*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*l + 2. Let j be 0\/((-3)\/1 - l). Solve -4*w - 2 + 14 = j for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3121093.\nAnswer: 173, 18041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148 - 7*z - 274 - 2*z + 22*z - 8*z.\nAnswer: 5*z - 422","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.170918 to three dps.\nAnswer: -1.171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -84753 divided by 27?\nAnswer: -3139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36\/5 + 12*w + 4\/5*w**3 - 28\/5*w**2.\nAnswer: 4*(w - 3)**2*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32897114 a multiple of 1978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**2 - 4*a**2 + 5*a**2 + (-a**2 - 3*a**2 + 3*a**2)*(4 + 2 - 3) + 3*a**2 - 7*a**2 + 6*a**2 + (-a - 2*a + a)*(-3*a - 5*a + 6*a).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 1. Let r(u) = 2*u + 10. Let m(w) = 4*c(w) - r(w). Determine m(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/23668 and -31\/118767.\nAnswer: 46081596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 5 = -4*v, -2*v = -5*w + 186. Does 9 divide (6\/8)\/(-6 + 219\/w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -84*u - 17*u**2 - 65*u**2 + 160*u - 76*u. Let c(a) = -26*a. Give o(c(r)).\nAnswer: -55432*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 38*14\/4 - ((-28)\/(-6))\/((-2447)\/(-7341))?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/((-60)\/(-214)) - (-30)\/100. What is the third smallest value in 1\/6, 0, g, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 153.13 - 151.63. Which is the smallest value? (a) -1 (b) -0.3 (c) w (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(-2*m + m - 4*m) - 1 + 100*m - 91*m - 1 + (0 - 5 + 3)*(2*m - 3 + 3).\nAnswer: 10*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 + -58. Suppose -z + 1502995 = 3*m, 5*m + 4*z - j*z = 2504990. Suppose 6*v + m = -4*v. What is v rounded to the nearest one thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 305 - 249. Suppose 22*d**2 + t + 8*d**2 - 2*d**3 - 184 - 128*d + 32*d = 0. Calculate d.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9915 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -0*b - 28. Suppose -3*u = 10*u + 39. Let l be ((-56)\/(-10))\/((u + 7)\/40). Calculate the highest common factor of b and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14325.55 rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.0000305 to two dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -261, -530, -801, -1074, -1349, -1626?\n\"Answer: -x**2 - 266*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11368705 is divided by 3725.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u + 32. Let r be m(-10). Does 17 divide r\/(-16) + (-621)\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.662035 to three decimal places.\nAnswer: 0.662","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 87, -42, 1 in increasing order.\nAnswer: -42, 1, 2, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/8, 1, -42, -104.5, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-8) - ((-230)\/8)\/5. Solve -4*q + 5*k + 1 = 0, 0 = l*k - 4*k + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l - 3*l - l)*(1 + 7 + 1)*(-2*l**3 + 3*l**3 + 0*l**3) to f*l**2 + g*l**4 + j*l + y*l**3 + v and give g.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 1\/7, 25, 1594?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5*n - 1. Let v be l(-7). Let t = -31 + v. Suppose t*b - 50 = -2*b. Solve -4*k - 19 = -3*j, 5*k - b = -5*j + 10 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a factor of 34310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*sqrt(77) - (sqrt(77) + (sqrt(77) - (sqrt(77)*1 - sqrt(77))) - sqrt(77))*-5)\/(sqrt(448)*-2*-4*5).\nAnswer: sqrt(11)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 294502464 a multiple of 546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 at most 82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.52081 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -81 + 48. Let q(r) = -81*r**3 - 33*r**2 - 33*r + 33. Let u(t) = -5*t**3 - 2*t**2 - 2*t + 2. Suppose 72*g - 4 = 70*g. Calculate f*u(m) + g*q(m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 30 = 7*z. Solve -3*m + z = 21 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -9. Let v(k) = 2*k - 5*k - 4*k + u*k + 2. Does 16 divide v(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9.572978 centuries?\nAnswer: 11487.5736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 45*i - 9. Let z(a) = 3*a - 1. Let p(l) = -c(l) + 9*z(l). Let w(j) = -12*j**2. Determine w(p(x)).\nAnswer: -3888*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(7) - (-2 + sqrt(7)*1))*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 5*k**2 - 5*k + 2. What is c(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/126 + 4\/6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z. Let v(p) be the third derivative of -113*p**4\/3 - 1213*p**2. Determine t(v(o)).\nAnswer: -1808*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1 + sqrt(275) + 2 + sqrt(275))**2 + 5).\nAnswer: 40*sqrt(11) + 2212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 85 = -27*t. Sort 1\/4, -0.2, -2, t in ascending order.\nAnswer: -2, -0.2, 1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and -3304 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15\/26 - 11\/26. Let m = -14 + 59\/4. What is the closest to 0.1 in m, y, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7560 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3336 - 2159. Let s = 2834 - r. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 537 divided by -179\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9 - -1. Let n = 77\/12 + -7\/12. Let k = -25\/3 + n. What is the second smallest value in 1\/4, y, k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 6:19 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 18648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**2 + 60*d - 945 = 0. Calculate d.\nAnswer: -21, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i = 5*i - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 0.05 (b) -4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 0 + 0 - sqrt(13))**2 + (sqrt(13) + 1)**2*-5 + sqrt(13) + -3 + (sqrt(1053) + -1*sqrt(1053))**2.\nAnswer: -73 - 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 + 2*i**2 - 3*i**2)*(2*i - 4*i - i + (-2*i - 2*i - 2*i)*(1 - 7 - 1)) + (-3*i - 4*i + 6*i)*(-3 - 2*i + 3)*(2*i - 2 + 2).\nAnswer: 43*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -782, -1637, -2580, -3611?\nAnswer: -4730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*g**3*t**5 - g**3*t + 309454*t**2 - 5369147*t wrt t?\nAnswer: -540*g**3*t**3 + 618908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5964485.6 rounded to the nearest 10000?\nAnswer: -5960000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 5 = -19. Let z be (-1)\/(-2)*(8 - 2). Suppose z*a + 2*a = q - 6, 10 = q - a. Calculate the smallest common multiple of q and o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -489, -1945, -4377, -7785, -12169, -17529?\nAnswer: -23865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7089619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 9*y**3 - 2*y**2 + 5*y + 3. Let j(a) = -5*a**3 + a**2 - 3*a - 2. Give -5*j(k) - 3*q(k).\nAnswer: -2*k**3 + k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2733859 millilitres to litres.\nAnswer: 0.0002733859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4227849, -4227852, -4227855, -4227858?\nAnswer: -4227861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 25 = -2*i + 4*c, -5*c + 25 = 5*i. Suppose i*s - 2 = 4*s. Let t(b) = s - 3 + 2*b - 4*b**2 + 0. Calculate t(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 169 - 169 + 9*b + (-1 - 2 + 2)*(3*b - 6*b + b).\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**5 - 520*t**4 + 2500*t**3 - 2450*t**2 - 2505*t + 2970 = 0 for t.\nAnswer: -1, 1, 2, 3, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*j**3 + 786484*j**2 + j + 542751142.\nAnswer: -36*j**2 + 1572968*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 0. Let o = 7.76 - 8. Let k = -5.24 - o. Which is the closest to u? (a) k (b) 2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129597, 129876, 130339, 130986, 131817?\nAnswer: 132832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -13. Let r = 10 + -7. Suppose -3*f = r*d + d - 12, -d + 3 = -4*f. Which is the second biggest value? (a) f (b) -0.4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -381.0305278 rounded to the nearest integer?\nAnswer: -381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-3)*(-8)\/(128\/24).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2126849?\nAnswer: 2126849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (1 + sqrt(396))**2 + (sqrt(11) + (sqrt(11) - (sqrt(11) + (sqrt(176))**2)))*-1 - -5*(2*sqrt(396))**2.\nAnswer: 12*sqrt(11) + 8493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 7 - 1 = 0. Let r = -1 + 3. Let x = 7 - r. Sort q, -5, x.\nAnswer: -5, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.53 - 3.53. What is the nearest to x in 6, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1432944011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17934 and 1647?\nAnswer: 161406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -553, -456, -147, 482, 1539, 3132, 5369, 8358?\nAnswer: 12207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3260 or -157?\nAnswer: -3260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1841 + 1842. Let n = 42.9 - 43. What is the nearest to -2 in -0.4, t, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -855, -2, 2 in ascending order.\nAnswer: -855, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37141?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 17 - 3850\/40 - 2\/8. Is r bigger than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(352))\/(sqrt(80)\/(sqrt(40)\/sqrt(4))) - (sqrt(44) + -5 + 2*sqrt(11) + -1 + sqrt(88)\/(sqrt(128)*-6)).\nAnswer: -191*sqrt(11)\/24 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**5 + 2*z**5 + 4*z**5 + (-2*z**5 - 2 + 2)*(-3 - 4 - 16).\nAnswer: 47*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 4947a0?\nAnswer: 4947a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -184 (b) 1 (c) 232 (d) -3.9 (e) 2\/7 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q - 800 = -5*q. Let s = -86 - q. What is the remainder when 40 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50124494, 50124489, 50124482, 50124473, 50124462, 50124449, 50124434?\nAnswer: 50124417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34172?\nAnswer: 2, 8543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(99))\/sqrt(3) + sqrt(33) + sqrt(264)\/(2*sqrt(8) + sqrt(8)))\/((sqrt(77) + (-1*1*sqrt(77) - sqrt(77)))\/sqrt(7)).\nAnswer: -10*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (52*g + 34*g + 12*g)*(4 - 65 + 6 + 116) as a*g + t and give a.\nAnswer: 5978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4462720 divided by 320.\nAnswer: -13946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 731483.1 millennia in months?\nAnswer: 8777797200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4 + 4*s**2 - 6 + 3*s**3 - 2*s**3 + 14. Let f(y) = -y**3 - 5*y**2 - 5. Determine -4*f(t) - 5*z(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1339 and 7519?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.3 - -0.3. Let h = 5009 - 5009.1. Which is the closest to h? (a) 0.2 (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*s + 82 - 42. What is the second smallest value in 2, s, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5 + 0*p**2 + 14 - 6*p - p**2. Let t be s(-6). Let h(q) = 3*q - 3. List the prime factors of h(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r + 0*r + 2*r**2)*(2029 - 16*r + 1978 - 5911 + 1967) in the form p*r**3 + s*r + w*r**2 + z and give p.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -88400995.\nAnswer: -1\/88400995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 17*b**8\/56 + b**4\/3 - 12*b. What is the third derivative of g(u) wrt u?\nAnswer: 2040*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**2\/2 - d - 2. Let l be r(-1). Suppose 0 = 19*t - 10*t. Which is bigger: l or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.2, -0.3, 1, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 6 + 4. Suppose m*d + 22 = 5*c + 3, -2*c = -10. Solve 0*t = -d*t - 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26.3 - -0.0936.\nAnswer: -26.2064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -878917536481*p + 878917536481*p + 3*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 35b29 + 2?\nAnswer: 35b2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7\/35 + 16408\/35.\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48712 (base 10) to base 4.\nAnswer: -23321020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -40431, -79811, -119191?\n\"Answer: -39380*h - 1051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzrrzfzzzrrzrzzzzzz. Give prob of picking 1 r and 1 z.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19608941 is divided by 20576?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 7*y - 5. Let d(a) = -2*a - 2. Let x be d(-4). Let g = 1 - x. What is the units digit of b(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z + 161 = -4*g + 109, -2*g = -3*z + 22 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -1133*g - 84673. Calculate p(-77).\nAnswer: 2568","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2091373 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**3\/4 - 4703*u**2\/2 - 169001*u\/4 - 39899 = 0.\nAnswer: -9388, -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -525*x + 5767. Determine t(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 - 5*l**2 - 130*l - 120.\nAnswer: 5*(l - 6)*(l + 1)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 - 57\/9)*(1 + 2). Let g be (-8)\/3*15\/(-2). Suppose 10 = -w - 2*i, -4*w - g = 3*i + i. Is a greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 23575365\nAnswer: 23575365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 141094 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 48 = 11*l. Let y(c) = -c**3 + 6*c**2 - 3*c - 1. What is y(l)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15 - 36)*(-3)\/9 - 1. Solve 4*n + 5*d = 17 + 18, -2*n - 2*d + p = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 i when four letters picked without replacement from ppiptpoppfot.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 773*w + 14719. Give v(-19).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 + 89. Let r be (-2)\/(-5) - j\/(-5). Suppose -43 = -y + 3*n - r, 4*n + 4 = 0. What are the prime factors of y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**6\/210 - j**5\/105 + 2*j**4\/21 + 8*j**3\/21 - 2*j**2 - 3. Factor u(f).\nAnswer: -4*(f - 2)*(f + 1)*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 1:01 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 12*r + 58. Is h(-27) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 53736646?\nAnswer: 53736641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.421 - -205.421. Let u = 210 - y. Let m = 1.05 + -0.05. Which is the closest to m? (a) 0 (b) u (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*q + 48, -4*q = 5*u - u - 64. What is the greatest common factor of q and 486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 6*s - 8. Let h be l(-7). Let b = 5 + h. Suppose -x + b + 14 = 0. What is the greatest common divisor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 14) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l - 11. Let i be v(-11). Let u(o) = -o + 10. Calculate u(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1838 is divided by (-1148)\/(-1435) + (0 - (-1162)\/10) + -2?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8 + 12)\/(1 - 0). Suppose 3*f - 1 = 5*l + 5, -4*f + 8 = -r*l. Suppose -5*v + v + 472 = l. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -30328, -5, -2, -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.040635632 to one dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-11 + -10 + 17 + 20 + -9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 14) in base 3?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}